%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA108^1 : 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 07:53:54 AM UTC 2026
% Result : Unsatisfiable 57.52s 8.64s
% Output : Refutation 58.84s
% 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,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ~ ( r @ X1 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X2: $i,X1: $i,X0: $i,X4: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X1 @ X0 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( $true
= ( r @ X1 @ X0 ) ) ),
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,X4: $i] :
( ~ ( b @ X1 @ X0 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X2 @ X0 )
| ~ ( b @ X0 @ X4 ) ),
inference(rectify,[],[f6]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ X4 ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f14,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f18,plain,
! [X0: $i,X4: $i,X2: $i,X3: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ X4 ) ) ),
inference(flattening,[],[f12]) ).
thf(f19,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f14]) ).
thf(f20,plain,
! [X0: $i,X2: $i,X3: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f22,plain,
( ( $true
= ( inj @ sK0 ) )
& ( ( surj @ sK0 )
!= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f25,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f26,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f28,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f33,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f26,f28]) ).
thf(f34,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f25,f30]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( ( X2 = X1 )
= $true )
| ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f44,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
inference(extensionality_resolution,[],[f27,f48]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f42]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f24,f27]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f49]) ).
thf(f57,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f24,f50]) ).
thf(f59,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f62,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f63,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f64,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f42]) ).
thf(f70,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f59,f62]) ).
thf(f71,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f24,f62]) ).
thf(f72,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f73,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f75,definition,
( spl2_1
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f76,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f78,definition,
( spl2_2
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f79,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f80,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f73,f78,f75]) ).
thf(f82,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f79,f62]) ).
thf(f86,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f82]) ).
thf(f87,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f86]) ).
thf(f92,definition,
( spl2_4
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f93,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_4 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f99,definition,
( spl2_6
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f100,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_6 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f102,definition,
( spl2_7
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f103,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f105,definition,
( spl2_8
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f106,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_8 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f107,plain,
( ~ spl2_6
| spl2_7
| ~ spl2_8
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f87,f78,f105,f102,f99]) ).
thf(f114,definition,
( spl2_9
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f115,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f117,definition,
( spl2_10
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f118,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f124,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f24,f63]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f133,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f64,f48]) ).
thf(f134,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f64,f48]) ).
thf(f135,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f64,f42]) ).
thf(f148,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f72,f133]) ).
thf(f149,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f59,f133]) ).
thf(f151,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f24,f133]) ).
thf(f152,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f151]) ).
thf(f153,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f155,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f158,definition,
( spl2_11
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f159,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f161,definition,
( spl2_12
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f162,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f163,plain,
( spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f153,f161,f158]) ).
thf(f165,definition,
( spl2_13
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f166,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f165]) ).
thf(f168,definition,
( spl2_14
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f169,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f172,definition,
( spl2_15
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f173,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f172]) ).
thf(f175,definition,
( spl2_16
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f176,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f175]) ).
thf(f177,plain,
( spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f155,f175,f172]) ).
thf(f179,definition,
( spl2_17
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f180,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_17 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f182,definition,
( spl2_18
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f183,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_18 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f193,definition,
( spl2_20
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f194,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f193]) ).
thf(f195,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f198,definition,
( spl2_21
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f199,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f198]) ).
thf(f201,definition,
( spl2_22
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f202,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f201]) ).
thf(f209,definition,
( spl2_23
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f210,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f209]) ).
thf(f212,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_4 ),
inference(constrained_superposition,[],[f93,f27]) ).
thf(f213,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f212]) ).
thf(f214,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f213,f48]) ).
thf(f223,definition,
( spl2_24
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f227,definition,
( spl2_25
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f228,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f230,definition,
( spl2_26
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f231,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f233,definition,
( spl2_27
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f234,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f236,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_18 ),
inference(constrained_superposition,[],[f183,f62]) ).
thf(f237,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_18 ),
inference(constrained_superposition,[],[f183,f27]) ).
thf(f238,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_18 ),
inference(trivial_inequality_removal,[],[f236]) ).
thf(f239,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_18 ),
inference(trivial_inequality_removal,[],[f237]) ).
thf(f240,plain,
( spl2_15
| spl2_18 ),
inference(avatar_split_clause,[],[f238,f182,f172]) ).
thf(f242,definition,
( spl2_28
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f243,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f242]) ).
thf(f244,plain,
( spl2_15
| spl2_28
| spl2_18 ),
inference(avatar_split_clause,[],[f239,f182,f242,f172]) ).
thf(f245,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_17 ),
inference(constrained_superposition,[],[f180,f50]) ).
thf(f248,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f250,plain,
( spl2_12
| spl2_17 ),
inference(avatar_split_clause,[],[f248,f179,f161]) ).
thf(f256,definition,
( spl2_29
<=> ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f257,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f260,definition,
( spl2_30
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f261,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f263,definition,
( spl2_31
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f264,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f263]) ).
thf(f271,definition,
( spl2_32
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f272,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f271]) ).
thf(f277,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| spl2_4
| ~ spl2_31 ),
inference(constrained_superposition,[],[f264,f214]) ).
thf(f279,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| spl2_4
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f277]) ).
thf(f280,plain,
( spl2_26
| spl2_4
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f279,f263,f92,f230]) ).
thf(f282,plain,
( ( $true != $true )
| ~ spl2_1
| ~ spl2_26 ),
inference(constrained_superposition,[],[f231,f76]) ).
thf(f284,plain,
( $false
| ~ spl2_1
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f282]) ).
thf(f285,plain,
( ~ spl2_1
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f284]) ).
thf(f307,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f159,f133]) ).
thf(f315,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_11 ),
inference(duplicate_literal_removal,[],[f307]) ).
thf(f316,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f315]) ).
thf(f318,definition,
( spl2_33
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f319,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_33 ),
inference(avatar_component_clause,[],[f318]) ).
thf(f322,definition,
( spl2_34
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f323,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f322]) ).
thf(f325,definition,
( spl2_35
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f326,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_35 ),
inference(avatar_component_clause,[],[f325]) ).
thf(f327,plain,
( spl2_34
| ~ spl2_35
| ~ spl2_17
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f316,f158,f179,f325,f322]) ).
thf(f328,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_6 ),
inference(constrained_superposition,[],[f100,f50]) ).
thf(f330,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_6 ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f332,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f176,f50]) ).
thf(f341,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f343,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f341,f195]) ).
thf(f344,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f346,definition,
( spl2_36
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f347,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f346]) ).
thf(f348,plain,
( ~ spl2_25
| spl2_36
| ~ spl2_4
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f343,f175,f92,f346,f227]) ).
thf(f349,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_25 ),
inference(constrained_superposition,[],[f344,f27]) ).
thf(f350,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f349]) ).
thf(f351,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f350,f48]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| spl2_25
| ~ spl2_31 ),
inference(constrained_superposition,[],[f264,f351]) ).
thf(f355,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| spl2_25
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f352]) ).
thf(f356,plain,
( spl2_20
| spl2_25
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f355,f263,f227,f193]) ).
thf(f360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f24,f228]) ).
thf(f363,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f360]) ).
thf(f367,definition,
( spl2_37
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f371,definition,
( spl2_38
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f372,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f375,definition,
( spl2_39
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f376,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f375]) ).
thf(f380,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(constrained_superposition,[],[f93,f27]) ).
thf(f381,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f380]) ).
thf(f382,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f381,f48]) ).
thf(f383,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_4 ),
inference(constrained_superposition,[],[f29,f382]) ).
thf(f384,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f383]) ).
thf(f385,plain,
( spl2_10
| spl2_9
| spl2_4 ),
inference(avatar_split_clause,[],[f384,f92,f114,f117]) ).
thf(f396,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f272,f51]) ).
thf(f399,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f396]) ).
thf(f403,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f115,f51]) ).
thf(f406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f403]) ).
thf(f411,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_15
| ~ spl2_30 ),
inference(constrained_superposition,[],[f261,f173]) ).
thf(f414,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_15
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f411]) ).
thf(f416,plain,
( $false
| ~ spl2_1
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_subsumption_resolution,[],[f414,f76]) ).
thf(f417,plain,
( ~ spl2_1
| ~ spl2_15
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f416]) ).
thf(f419,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_24 ),
inference(constrained_superposition,[],[f224,f162]) ).
thf(f421,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f419]) ).
thf(f422,plain,
( $false
| spl2_4
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f421,f382]) ).
thf(f423,plain,
( spl2_4
| ~ spl2_12
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f422]) ).
thf(f424,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f372,f27]) ).
thf(f426,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f372,f133]) ).
thf(f432,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f424]) ).
thf(f434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f426]) ).
thf(f447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f363,f133]) ).
thf(f454,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f447]) ).
thf(f493,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_33 ),
inference(constrained_superposition,[],[f319,f63]) ).
thf(f496,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_33 ),
inference(trivial_inequality_removal,[],[f493]) ).
thf(f498,plain,
( spl2_13
| spl2_33 ),
inference(avatar_split_clause,[],[f496,f318,f165]) ).
thf(f499,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f406,f49]) ).
thf(f500,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f499]) ).
thf(f555,definition,
( spl2_42
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f556,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f601,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f57,f134]) ).
thf(f602,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f134]) ).
thf(f603,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f601]) ).
thf(f604,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f602]) ).
thf(f606,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f604,f134]) ).
thf(f610,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f606]) ).
thf(f611,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f610]) ).
thf(f615,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_12 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f618,definition,
( spl2_45
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f619,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_45 ),
inference(avatar_component_clause,[],[f618]) ).
thf(f621,definition,
( spl2_46
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f622,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f621]) ).
thf(f623,plain,
( ~ spl2_45
| spl2_46 ),
inference(avatar_split_clause,[],[f611,f621,f618]) ).
thf(f625,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X2 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f55,f48]) ).
thf(f628,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X3 )
!= $true )
| ( X2 = X3 ) ),
inference(constrained_superposition,[],[f55,f27]) ).
thf(f629,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( X1 = X2 )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f55,f50]) ).
thf(f635,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f55,f228]) ).
thf(f637,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f629]) ).
thf(f640,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f628]) ).
thf(f641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( X0 = X1 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f635]) ).
thf(f661,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X3 )
| ( $true != $true )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
= ( b @ X3 @ X1 ) ) ),
inference(constrained_superposition,[],[f640,f27]) ).
thf(f668,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f640,f228]) ).
thf(f669,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f668]) ).
thf(f671,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ X3 ) )
| ( X0 = X2 )
| ( X1 = X3 )
| ( $true
= ( b @ X3 @ X1 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f661]) ).
thf(f677,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_25 ),
inference(extensionality_resolution,[],[f641,f48]) ).
thf(f682,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f641,f62]) ).
thf(f686,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f682]) ).
thf(f692,definition,
( spl2_47
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f693,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f692]) ).
thf(f694,plain,
( spl2_47
| spl2_15
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f686,f227,f172,f692]) ).
thf(f697,definition,
( spl2_48
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f698,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f697]) ).
thf(f699,plain,
( ~ spl2_17
| spl2_48
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f677,f227,f697,f179]) ).
thf(f711,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_1
| ~ spl2_10 ),
inference(constrained_superposition,[],[f118,f76]) ).
thf(f712,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_1
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f711]) ).
thf(f715,plain,
( spl2_29
| ~ spl2_1
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f712,f117,f75,f256]) ).
thf(f717,plain,
( ( $true != $true )
| spl2_4
| ~ spl2_29 ),
inference(constrained_superposition,[],[f257,f382]) ).
thf(f719,plain,
( $false
| spl2_4
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f717]) ).
thf(f720,plain,
( spl2_4
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f719]) ).
thf(f727,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f224,f51]) ).
thf(f728,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f224,f134]) ).
thf(f731,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f728]) ).
thf(f732,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f727]) ).
thf(f734,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_48 ),
inference(constrained_superposition,[],[f698,f64]) ).
thf(f740,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_48 ),
inference(trivial_inequality_removal,[],[f734]) ).
thf(f741,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f731,f51]) ).
thf(f742,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f741]) ).
thf(f743,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f742,f48]) ).
thf(f754,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f732,f51]) ).
thf(f755,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f754]) ).
thf(f757,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f625,f755]) ).
thf(f777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f757]) ).
thf(f780,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f777,f406]) ).
thf(f783,definition,
( spl2_49
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f784,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f783]) ).
thf(f786,definition,
( spl2_50
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f787,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f786]) ).
thf(f788,plain,
( ~ spl2_17
| spl2_49
| spl2_50
| ~ spl2_9
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f780,f223,f114,f786,f783,f179]) ).
thf(f790,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f787,f64]) ).
thf(f791,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f787,f133]) ).
thf(f795,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f790]) ).
thf(f798,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f791]) ).
thf(f799,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f798,f50]) ).
thf(f802,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f799]) ).
thf(f804,plain,
( spl2_36
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f802,f786,f346]) ).
thf(f847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f795,f50]) ).
thf(f849,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f847]) ).
thf(f876,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) )
| ~ spl2_36 ),
inference(constrained_superposition,[],[f29,f347]) ).
thf(f877,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) )
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f876]) ).
thf(f880,definition,
( spl2_56
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f880]) ).
thf(f882,plain,
( spl2_56
| spl2_21
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f877,f346,f198,f880]) ).
thf(f965,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f24,f743]) ).
thf(f967,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f965]) ).
thf(f982,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f967,f63]) ).
thf(f986,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f982]) ).
thf(f991,definition,
( spl2_58
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f992,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f991]) ).
thf(f993,plain,
( spl2_58
| spl2_42
| ~ spl2_33
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f986,f223,f318,f555,f991]) ).
thf(f997,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f29,f992]) ).
thf(f999,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f997]) ).
thf(f1004,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f999,f992]) ).
thf(f1008,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_58 ),
inference(duplicate_literal_removal,[],[f1004]) ).
thf(f1009,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f1008]) ).
thf(f1016,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_13 ),
inference(avatar_component_clause,[],[f165]) ).
thf(f1022,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(constrained_superposition,[],[f1016,f51]) ).
thf(f1026,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f1022]) ).
thf(f1029,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f1026,f48]) ).
thf(f1039,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_13 ),
inference(constrained_superposition,[],[f55,f1029]) ).
thf(f1052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f1039]) ).
thf(f1126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_15
| ~ spl2_21 ),
inference(constrained_superposition,[],[f199,f173]) ).
thf(f1131,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_15
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f1126]) ).
thf(f1132,plain,
( spl2_26
| ~ spl2_15
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f1131,f198,f172,f230]) ).
thf(f1154,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ X3 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( X0 = X3 )
| ( ( b @ X1 @ X3 )
= $true )
| ( X1 = X3 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f671,f27]) ).
thf(f1175,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( X0 = X2 )
| ( ( b @ X1 @ X3 )
= $true )
| ( X0 = X3 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X0 @ X3 ) )
| ( X1 = X3 ) ),
inference(trivial_inequality_removal,[],[f1154]) ).
thf(f1188,definition,
( spl2_64
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f1189,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f1188]) ).
thf(f1191,definition,
( spl2_65
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f1192,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f1191]) ).
thf(f1326,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ X1 @ sK1 )
= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f669,f27]) ).
thf(f1327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ sK1 )
= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f1326]) ).
thf(f1365,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) )
| spl2_13 ),
inference(extensionality_resolution,[],[f1052,f48]) ).
thf(f1366,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| spl2_13 ),
inference(extensionality_resolution,[],[f1052,f48]) ).
thf(f1372,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_13 ),
inference(constrained_superposition,[],[f1052,f62]) ).
thf(f1378,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f1372]) ).
thf(f1384,definition,
( spl2_71
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f1385,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f1384]) ).
thf(f1386,plain,
( spl2_71
| ~ spl2_17
| spl2_13 ),
inference(avatar_split_clause,[],[f1365,f165,f179,f1384]) ).
thf(f1391,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_71 ),
inference(constrained_superposition,[],[f1385,f64]) ).
thf(f1398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f1391]) ).
thf(f1523,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f135,f48]) ).
thf(f1553,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( X2 = X3 )
| ( ( b @ X0 @ X2 )
= $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ( b @ X1 @ X3 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1175,f27]) ).
thf(f1579,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( X0 = X2 )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X1 = X3 )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
= $true )
| ( X2 = X3 )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f1553]) ).
thf(f1632,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_71 ),
inference(constrained_superposition,[],[f1398,f63]) ).
thf(f1634,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f1632]) ).
thf(f1945,definition,
( spl2_75
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f1946,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f1945]) ).
thf(f1953,definition,
( spl2_77
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f1954,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(avatar_component_clause,[],[f1953]) ).
thf(f1964,definition,
( spl2_79
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f1965,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_79 ),
inference(avatar_component_clause,[],[f1964]) ).
thf(f1967,definition,
( spl2_80
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).
thf(f1968,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f1967]) ).
thf(f1969,plain,
( ~ spl2_79
| spl2_80
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f1009,f991,f1967,f1964]) ).
thf(f1971,definition,
( spl2_81
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f1972,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f1971]) ).
thf(f1973,plain,
( spl2_81
| spl2_15
| spl2_13 ),
inference(avatar_split_clause,[],[f1378,f165,f172,f1971]) ).
thf(f2008,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f368,f64]) ).
thf(f2018,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2008]) ).
thf(f2024,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f693,f27]) ).
thf(f2027,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f2024]) ).
thf(f2188,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f2018,f62]) ).
thf(f2206,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2188]) ).
thf(f2212,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f2206,f27]) ).
thf(f2213,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2212]) ).
thf(f2214,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f2213,f48]) ).
thf(f2469,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(constrained_superposition,[],[f152,f1523]) ).
thf(f2471,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f72,f1523]) ).
thf(f2472,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f625,f1523]) ).
thf(f2477,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f24,f1523]) ).
thf(f2486,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2477]) ).
thf(f2493,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f2471]) ).
thf(f2497,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f2472]) ).
thf(f2500,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f2469]) ).
thf(f2509,definition,
( spl2_95
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).
thf(f2510,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_95 ),
inference(avatar_component_clause,[],[f2509]) ).
thf(f2513,definition,
( spl2_96
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f2514,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2513]) ).
thf(f2516,definition,
( spl2_97
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).
thf(f2517,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f2516]) ).
thf(f2520,definition,
( spl2_98
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).
thf(f2521,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_98 ),
inference(avatar_component_clause,[],[f2520]) ).
thf(f2533,definition,
( spl2_102
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).
thf(f2534,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f2533]) ).
thf(f2537,definition,
( spl2_103
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
thf(f2538,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f2537]) ).
thf(f2544,definition,
( spl2_105
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f2545,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f2544]) ).
thf(f2547,definition,
( spl2_106
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f2548,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f2547]) ).
thf(f2549,plain,
( spl2_105
| spl2_106 ),
inference(avatar_split_clause,[],[f2493,f2547,f2544]) ).
thf(f2551,definition,
( spl2_107
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
thf(f2552,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f2551]) ).
thf(f2558,definition,
( spl2_109
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f2559,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f2558]) ).
thf(f2562,definition,
( spl2_110
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f2563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f2562]) ).
thf(f2564,plain,
( spl2_110
| spl2_103 ),
inference(avatar_split_clause,[],[f2497,f2537,f2562]) ).
thf(f2566,definition,
( spl2_111
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f2567,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f2566]) ).
thf(f2569,definition,
( spl2_112
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_112])],[avatar_definition]) ).
thf(f2570,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112 ),
inference(avatar_component_clause,[],[f2569]) ).
thf(f2571,plain,
( spl2_111
| spl2_112 ),
inference(avatar_split_clause,[],[f2500,f2569,f2566]) ).
thf(f2572,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_102 ),
inference(avatar_component_clause,[],[f2533]) ).
thf(f2577,definition,
( spl2_114
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f2578,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_114 ),
inference(avatar_component_clause,[],[f2577]) ).
thf(f2580,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_15 ),
inference(avatar_component_clause,[],[f172]) ).
thf(f2592,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_95 ),
inference(constrained_superposition,[],[f2510,f27]) ).
thf(f2593,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_95 ),
inference(trivial_inequality_removal,[],[f2592]) ).
thf(f2594,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_95 ),
inference(forward_subsumption_resolution,[],[f2593,f48]) ).
thf(f2595,plain,
( spl2_103
| spl2_95 ),
inference(avatar_split_clause,[],[f2594,f2509,f2537]) ).
thf(f2596,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_98 ),
inference(constrained_superposition,[],[f2521,f50]) ).
thf(f2598,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_98 ),
inference(trivial_inequality_removal,[],[f2596]) ).
thf(f2600,plain,
( spl2_107
| spl2_98 ),
inference(avatar_split_clause,[],[f2598,f2520,f2551]) ).
thf(f2612,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f2509]) ).
thf(f2614,definition,
( spl2_116
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_116])],[avatar_definition]) ).
thf(f2615,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_116 ),
inference(avatar_component_clause,[],[f2614]) ).
thf(f2618,definition,
( spl2_117
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f2619,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_117 ),
inference(avatar_component_clause,[],[f2618]) ).
thf(f2624,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2206,f2612]) ).
thf(f2633,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_47
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2027,f2612]) ).
thf(f2634,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_25
| ~ spl2_95 ),
inference(constrained_superposition,[],[f669,f2612]) ).
thf(f2655,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_47
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f2633]) ).
thf(f2657,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_25
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f2634]) ).
thf(f2658,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f2624]) ).
thf(f2666,definition,
( spl2_118
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f2667,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f2666]) ).
thf(f2670,definition,
( spl2_119
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f2671,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f2670]) ).
thf(f2674,definition,
( spl2_120
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f2675,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f2674]) ).
thf(f2676,plain,
( spl2_118
| spl2_120
| spl2_106
| spl2_109
| ~ spl2_47
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f2655,f2509,f692,f2558,f2547,f2674,f2666]) ).
thf(f2678,definition,
( spl2_121
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f2679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f2678]) ).
thf(f2680,plain,
( spl2_109
| spl2_112
| spl2_121
| ~ spl2_25
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f2657,f2509,f227,f2678,f2569,f2558]) ).
thf(f2681,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_37
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f2658,f48]) ).
thf(f2687,definition,
( spl2_123
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f2688,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f2687]) ).
thf(f2690,plain,
( spl2_112
| spl2_106
| ~ spl2_37
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f2681,f2509,f367,f2547,f2569]) ).
thf(f2691,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_95
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2612,f2667]) ).
thf(f2732,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_50
| ~ spl2_118 ),
inference(constrained_superposition,[],[f798,f2667]) ).
thf(f2774,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_118 ),
inference(constrained_superposition,[],[f399,f2667]) ).
thf(f2775,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_9
| ~ spl2_118 ),
inference(constrained_superposition,[],[f406,f2667]) ).
thf(f2789,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_50
| ~ spl2_118 ),
inference(constrained_superposition,[],[f849,f2667]) ).
thf(f2807,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_71
| ~ spl2_118 ),
inference(constrained_superposition,[],[f1634,f2667]) ).
thf(f2808,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2018,f2667]) ).
thf(f2812,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_37
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2214,f2667]) ).
thf(f2818,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8
| ~ spl2_32
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2774,f106]) ).
thf(f2832,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_37
| spl2_45
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2812,f619]) ).
thf(f2833,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| spl2_45
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2808,f619]) ).
thf(f2838,plain,
( $false
| spl2_4
| ~ spl2_95
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2691,f93]) ).
thf(f2839,plain,
( spl2_4
| ~ spl2_95
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f2838]) ).
thf(f2847,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2732,f619]) ).
thf(f2850,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f2852,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_4
| ~ spl2_9
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2775,f382]) ).
thf(f2853,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2789,f619]) ).
thf(f2855,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_45
| ~ spl2_71
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2807,f619]) ).
thf(f2856,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8
| ~ spl2_32
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2818,f48]) ).
thf(f2870,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_37
| spl2_45
| spl2_77
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2832,f1954]) ).
thf(f2871,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_37
| spl2_45
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2833,f48]) ).
thf(f2879,definition,
( spl2_124
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f2880,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f2879]) ).
thf(f2885,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f2847,f2666,f786,f618,f179]) ).
thf(f2888,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2852,f106]) ).
thf(f2889,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2853,f48]) ).
thf(f2891,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2855,f1016]) ).
thf(f2892,plain,
( $false
| ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2856,f76]) ).
thf(f2893,plain,
( ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f2892]) ).
thf(f2899,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_37
| spl2_45
| spl2_77
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2870,f48]) ).
thf(f2900,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_25
| ~ spl2_37
| spl2_45
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2871,f228]) ).
thf(f2905,plain,
( $false
| spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2888,f48]) ).
thf(f2906,plain,
( spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
thf(f2907,plain,
( $false
| spl2_12
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2889,f615]) ).
thf(f2908,plain,
( spl2_12
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f2907]) ).
thf(f2910,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2891,f48]) ).
thf(f2916,plain,
( spl2_15
| ~ spl2_37
| spl2_45
| spl2_77
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f2899,f2666,f1953,f618,f367,f172]) ).
thf(f2917,plain,
( ~ spl2_18
| ~ spl2_25
| ~ spl2_37
| spl2_45
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f2900,f2666,f618,f367,f227,f182]) ).
thf(f2920,plain,
( $false
| spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2910,f615]) ).
thf(f2921,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
thf(f2937,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| spl2_13
| ~ spl2_18 ),
inference(constrained_superposition,[],[f1052,f2850]) ).
thf(f2941,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f24,f2850]) ).
thf(f2957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f2941]) ).
thf(f2962,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_13
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f2937]) ).
thf(f2965,plain,
( spl2_81
| spl2_13
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f2962,f182,f165,f1971]) ).
thf(f2966,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_102 ),
inference(constrained_superposition,[],[f2572,f62]) ).
thf(f2971,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_102 ),
inference(trivial_inequality_removal,[],[f2966]) ).
thf(f2973,plain,
( spl2_106
| spl2_102 ),
inference(avatar_split_clause,[],[f2971,f2533,f2547]) ).
thf(f3015,definition,
( spl2_127
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f3016,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f3015]) ).
thf(f3020,definition,
( spl2_128
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f3021,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f3020]) ).
thf(f3024,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_37
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2018,f2534]) ).
thf(f3050,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_37
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f3024]) ).
thf(f3056,definition,
( spl2_129
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f3057,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f3056]) ).
thf(f3060,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_37
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f3050,f48]) ).
thf(f3063,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_37
| ~ spl2_95
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f3060,f2612]) ).
thf(f3064,plain,
( spl2_112
| ~ spl2_37
| ~ spl2_95
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f3063,f2533,f2509,f367,f2569]) ).
thf(f3088,definition,
( spl2_130
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f3089,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f3088]) ).
thf(f3091,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_114 ),
inference(constrained_superposition,[],[f2578,f133]) ).
thf(f3094,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_114 ),
inference(trivial_inequality_removal,[],[f3091]) ).
thf(f3108,definition,
( spl2_131
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f3109,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f3108]) ).
thf(f3111,definition,
( spl2_132
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f3112,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f3111]) ).
thf(f3115,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f2619,f51]) ).
thf(f3134,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f3115]) ).
thf(f3183,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_119 ),
inference(constrained_superposition,[],[f2671,f1523]) ).
thf(f3189,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f3183]) ).
thf(f3196,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1946,f133]) ).
thf(f3202,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f3196]) ).
thf(f3211,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3016,f1523]) ).
thf(f3221,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f3211]) ).
thf(f3259,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f2957,f133]) ).
thf(f3268,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f3259]) ).
thf(f3309,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_102 ),
inference(constrained_superposition,[],[f3268,f2534]) ).
thf(f3314,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f3309]) ).
thf(f3319,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_105 ),
inference(constrained_superposition,[],[f2545,f1523]) ).
thf(f3332,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_105 ),
inference(duplicate_literal_removal,[],[f3319]) ).
thf(f3333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f3332]) ).
thf(f3336,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_102
| ~ spl2_105 ),
inference(forward_subsumption_resolution,[],[f3333,f2534]) ).
thf(f3338,definition,
( spl2_133
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f3339,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_133 ),
inference(avatar_component_clause,[],[f3338]) ).
thf(f3342,definition,
( spl2_134
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f3343,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_134 ),
inference(avatar_component_clause,[],[f3342]) ).
thf(f3345,definition,
( spl2_135
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f3346,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f3345]) ).
thf(f3347,plain,
( ~ spl2_134
| spl2_135
| ~ spl2_102
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f3336,f2544,f2533,f3345,f3342]) ).
thf(f3348,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_133 ),
inference(constrained_superposition,[],[f3339,f64]) ).
thf(f3351,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_133 ),
inference(trivial_inequality_removal,[],[f3348]) ).
thf(f3352,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f2679,f27]) ).
thf(f3360,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f3352]) ).
thf(f3419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f604,f3360]) ).
thf(f3443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f3419]) ).
thf(f3473,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_121
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f3443,f3339]) ).
thf(f3484,definition,
( spl2_137
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f3485,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f3484]) ).
thf(f3486,plain,
( spl2_132
| spl2_137
| ~ spl2_121
| spl2_133 ),
inference(avatar_split_clause,[],[f3473,f3338,f2678,f3484,f3111]) ).
thf(f3493,definition,
( spl2_139
<=> ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f3494,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f3493]) ).
thf(f3503,plain,
( ( $true != $true )
| ~ spl2_112
| ~ spl2_139 ),
inference(constrained_superposition,[],[f3494,f2570]) ).
thf(f3505,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_139 ),
inference(constrained_superposition,[],[f3494,f2214]) ).
thf(f3511,plain,
( ( $true != $true )
| ~ spl2_107
| ~ spl2_139 ),
inference(constrained_superposition,[],[f3494,f2552]) ).
thf(f3512,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_37
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f3505]) ).
thf(f3514,plain,
( $false
| ~ spl2_107
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f3511]) ).
thf(f3515,plain,
( ~ spl2_107
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f3514]) ).
thf(f3519,plain,
( $false
| ~ spl2_112
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f3503]) ).
thf(f3520,plain,
( ~ spl2_112
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f3519]) ).
thf(f3525,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_37
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f3512,f3494]) ).
thf(f3527,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_37
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f3525,f48]) ).
thf(f3528,plain,
( spl2_103
| ~ spl2_37
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f3527,f3493,f367,f2537]) ).
thf(f3747,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_109 ),
inference(avatar_component_clause,[],[f2558]) ).
thf(f3787,definition,
( spl2_144
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f3788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f3787]) ).
thf(f4159,definition,
( spl2_146
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f4160,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_146 ),
inference(avatar_component_clause,[],[f4159]) ).
thf(f4162,definition,
( spl2_147
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f4163,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f4162]) ).
thf(f4168,definition,
( spl2_149
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f4169,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f4168]) ).
thf(f4178,definition,
( spl2_152
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4179,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4178]) ).
thf(f4182,definition,
( spl2_153
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f4183,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f4182]) ).
thf(f4185,definition,
( spl2_154
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f4186,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f4185]) ).
thf(f4189,definition,
( spl2_155
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_155])],[avatar_definition]) ).
thf(f4190,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155 ),
inference(avatar_component_clause,[],[f4189]) ).
thf(f4192,definition,
( spl2_156
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f4193,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f4192]) ).
thf(f4195,definition,
( spl2_157
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f4196,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f4195]) ).
thf(f4202,definition,
( spl2_158
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_158])],[avatar_definition]) ).
thf(f4203,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl2_158 ),
inference(avatar_component_clause,[],[f4202]) ).
thf(f4207,definition,
( spl2_159
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f4208,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f4207]) ).
thf(f4211,definition,
( spl2_160
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f4212,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f4211]) ).
thf(f4214,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_153 ),
inference(avatar_component_clause,[],[f4182]) ).
thf(f4229,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_103
| ~ spl2_131 ),
inference(constrained_superposition,[],[f3109,f2538]) ).
thf(f4238,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_103
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f4229]) ).
thf(f4247,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f2615,f51]) ).
thf(f4262,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f4247]) ).
thf(f4572,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f4262,f49]) ).
thf(f4577,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f4572]) ).
thf(f4583,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_116 ),
inference(constrained_superposition,[],[f3202,f4577]) ).
thf(f4629,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f4583]) ).
thf(f4659,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_18
| ~ spl2_129 ),
inference(constrained_superposition,[],[f3057,f2850]) ).
thf(f4663,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_18
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f4659]) ).
thf(f5203,definition,
( spl2_171
<=> ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f5204,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f5203]) ).
thf(f5205,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_118 ),
inference(avatar_component_clause,[],[f2666]) ).
thf(f5245,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| spl2_118 ),
inference(extensionality_resolution,[],[f1052,f5205]) ).
thf(f5260,definition,
( spl2_173
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f5261,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f5260]) ).
thf(f5263,definition,
( spl2_174
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f5264,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f5263]) ).
thf(f5267,definition,
( spl2_175
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5268,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5267]) ).
thf(f5270,definition,
( spl2_176
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5271,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f5270]) ).
thf(f5274,definition,
( spl2_177
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f5275,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f5274]) ).
thf(f5277,definition,
( spl2_178
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f5278,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f5277]) ).
thf(f5305,definition,
( spl2_179
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f5306,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f5305]) ).
thf(f5308,definition,
( spl2_180
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f5309,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f5308]) ).
thf(f5313,definition,
( spl2_181
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f5314,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f5313]) ).
thf(f5316,definition,
( spl2_182
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f5317,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_182 ),
inference(avatar_component_clause,[],[f5316]) ).
thf(f5322,definition,
( spl2_183
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5323,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f5322]) ).
thf(f5325,definition,
( spl2_184
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f5326,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f5325]) ).
thf(f5329,definition,
( spl2_185
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f5330,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f5329]) ).
thf(f5334,definition,
( spl2_186
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f5335,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f5334]) ).
thf(f5337,definition,
( spl2_187
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
thf(f5338,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f5337]) ).
thf(f5379,definition,
( spl2_188
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f5380,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f5379]) ).
thf(f5382,definition,
( spl2_189
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f5383,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f5382]) ).
thf(f5393,definition,
( spl2_192
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f5394,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f5393]) ).
thf(f5397,definition,
( spl2_193
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f5398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f5397]) ).
thf(f5401,definition,
( spl2_194
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f5402,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f5401]) ).
thf(f5404,definition,
( spl2_195
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f5405,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f5404]) ).
thf(f5409,definition,
( spl2_196
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).
thf(f5410,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f5409]) ).
thf(f5426,definition,
( spl2_197
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f5427,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f5426]) ).
thf(f5430,definition,
( spl2_198
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f5431,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f5430]) ).
thf(f5434,definition,
( spl2_199
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_199])],[avatar_definition]) ).
thf(f5435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_199 ),
inference(avatar_component_clause,[],[f5434]) ).
thf(f5460,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f1523,f5427]) ).
thf(f5463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f2486,f5427]) ).
thf(f5464,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_96
| ~ spl2_197 ),
inference(constrained_superposition,[],[f2514,f5427]) ).
thf(f5469,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_75
| ~ spl2_197 ),
inference(constrained_superposition,[],[f3202,f5427]) ).
thf(f5472,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_144
| ~ spl2_197 ),
inference(constrained_superposition,[],[f3788,f5427]) ).
thf(f5577,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_197 ),
inference(duplicate_literal_removal,[],[f5463]) ).
thf(f5581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_102
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f5464,f2534]) ).
thf(f5582,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_134
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f5460,f3343]) ).
thf(f5585,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45
| ~ spl2_144
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f5472,f619]) ).
thf(f5600,plain,
( spl2_152
| spl2_158
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f5577,f5426,f4202,f4178]) ).
thf(f5605,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_13
| ~ spl2_75
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f5469,f1029]) ).
thf(f5610,plain,
( spl2_128
| spl2_152
| ~ spl2_96
| ~ spl2_102
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f5581,f5426,f2533,f2513,f4178,f3020]) ).
thf(f5611,plain,
( spl2_152
| spl2_134
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f5582,f5426,f3342,f4178]) ).
thf(f5615,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_144
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f5585,f5426,f3787,f618,f179]) ).
thf(f5632,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_13
| ~ spl2_18
| ~ spl2_75
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f5605,f2850]) ).
thf(f5647,plain,
( $false
| spl2_13
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f5632,f619]) ).
thf(f5648,plain,
( spl2_13
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_197 ),
inference(avatar_contradiction_clause,[],[f5647]) ).
thf(f5673,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f133,f5335]) ).
thf(f5681,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_36
| ~ spl2_186 ),
inference(constrained_superposition,[],[f347,f5335]) ).
thf(f5682,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_186 ),
inference(constrained_superposition,[],[f434,f5335]) ).
thf(f5683,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| ~ spl2_186 ),
inference(constrained_superposition,[],[f454,f5335]) ).
thf(f5690,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_96
| ~ spl2_186 ),
inference(constrained_superposition,[],[f2514,f5335]) ).
thf(f5695,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_75
| ~ spl2_186 ),
inference(constrained_superposition,[],[f3202,f5335]) ).
thf(f5698,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_144
| ~ spl2_186 ),
inference(constrained_superposition,[],[f3788,f5335]) ).
thf(f5807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_102
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5690,f2534]) ).
thf(f5810,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| spl2_45
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5682,f619]) ).
thf(f5814,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| ~ spl2_36
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5681,f615]) ).
thf(f5815,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45
| ~ spl2_144
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5698,f619]) ).
thf(f5819,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| spl2_45
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5683,f619]) ).
thf(f5821,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5673,f619]) ).
thf(f5826,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| ~ spl2_75
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5695,f2850]) ).
thf(f5837,plain,
( spl2_128
| spl2_152
| ~ spl2_96
| ~ spl2_102
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f5807,f5334,f2533,f2513,f4178,f3020]) ).
thf(f5839,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5810,f228]) ).
thf(f5843,plain,
( $false
| spl2_12
| ~ spl2_36
| spl2_45
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5814,f619]) ).
thf(f5844,plain,
( spl2_12
| ~ spl2_36
| spl2_45
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f5843]) ).
thf(f5845,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_144
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f5815,f5334,f3787,f618,f179]) ).
thf(f5849,plain,
( ~ spl2_17
| spl2_50
| ~ spl2_25
| spl2_45
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f5819,f5334,f618,f227,f786,f179]) ).
thf(f5850,plain,
( $false
| spl2_35
| spl2_45
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5821,f326]) ).
thf(f5851,plain,
( spl2_35
| spl2_45
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f5850]) ).
thf(f5855,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5826,f619]) ).
thf(f5862,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f5839,f5334,f618,f371,f227,f179]) ).
thf(f5871,plain,
( $false
| spl2_13
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5855,f1029]) ).
thf(f5872,plain,
( spl2_13
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f5871]) ).
thf(f5890,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_130
| ~ spl2_173 ),
inference(constrained_superposition,[],[f3089,f5261]) ).
thf(f5891,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_173 ),
inference(constrained_superposition,[],[f2619,f5261]) ).
thf(f5903,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_130
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f5890]) ).
thf(f5904,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f5891]) ).
thf(f5922,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_130
| ~ spl2_173 ),
inference(constrained_superposition,[],[f5903,f51]) ).
thf(f5929,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_130
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f5922]) ).
thf(f5937,definition,
( spl2_202
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f5938,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_202 ),
inference(avatar_component_clause,[],[f5937]) ).
thf(f5939,plain,
( spl2_202
| spl2_184
| ~ spl2_130
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f5929,f5260,f3088,f5325,f5937]) ).
thf(f5948,definition,
( spl2_205
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f5949,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f5948]) ).
thf(f5959,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_120 ),
inference(constrained_superposition,[],[f199,f2675]) ).
thf(f5966,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_21
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5959]) ).
thf(f5972,plain,
( spl2_139
| ~ spl2_21
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5966,f2674,f198,f3493]) ).
thf(f5974,definition,
( spl2_206
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).
thf(f5975,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f5974]) ).
thf(f5976,plain,
( spl2_112
| spl2_206
| ~ spl2_18
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f3314,f2533,f182,f5974,f2569]) ).
thf(f5984,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f4629,f48]) ).
thf(f5985,plain,
( spl2_112
| spl2_114 ),
inference(avatar_split_clause,[],[f3094,f2577,f2569]) ).
thf(f5987,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_102
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f5984,f2534]) ).
thf(f5988,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_4
| ~ spl2_75
| ~ spl2_102
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f5987,f93]) ).
thf(f5989,plain,
( spl2_112
| spl2_4
| ~ spl2_75
| ~ spl2_102
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f5988,f2614,f2533,f1945,f92,f2569]) ).
thf(f5991,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_120 ),
inference(avatar_component_clause,[],[f2674]) ).
thf(f5993,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f3351,f48]) ).
thf(f5994,plain,
( spl2_109
| spl2_120
| ~ spl2_18
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f4663,f3056,f182,f2674,f2558]) ).
thf(f5995,plain,
( spl2_120
| spl2_133 ),
inference(avatar_split_clause,[],[f5993,f3338,f2674]) ).
thf(f6000,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_106 ),
inference(constrained_superposition,[],[f115,f2548]) ).
thf(f6001,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_106
| ~ spl2_117 ),
inference(constrained_superposition,[],[f2619,f2548]) ).
thf(f6007,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_106
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f6001]) ).
thf(f6009,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f6000]) ).
thf(f6014,plain,
( $false
| ~ spl2_1
| ~ spl2_106
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f6007,f76]) ).
thf(f6015,plain,
( ~ spl2_1
| ~ spl2_106
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f6014]) ).
thf(f6016,plain,
( $false
| ~ spl2_9
| ~ spl2_103
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f6009,f2538]) ).
thf(f6017,plain,
( ~ spl2_9
| ~ spl2_103
| ~ spl2_106 ),
inference(avatar_contradiction_clause,[],[f6016]) ).
thf(f6019,definition,
( spl2_208
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f6020,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f6019]) ).
thf(f6033,definition,
( spl2_211
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f6034,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_211 ),
inference(avatar_component_clause,[],[f6033]) ).
thf(f6042,definition,
( spl2_212
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f6043,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_212 ),
inference(avatar_component_clause,[],[f6042]) ).
thf(f6054,plain,
( ~ spl2_212
| ~ spl2_18
| spl2_106
| ~ spl2_133
| spl2_13
| spl2_118 ),
inference(avatar_split_clause,[],[f5245,f2666,f165,f3338,f2547,f182,f6042]) ).
thf(f6084,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_107 ),
inference(constrained_superposition,[],[f399,f2552]) ).
thf(f6093,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_32
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f6084]) ).
thf(f6095,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_32
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f6093,f48]) ).
thf(f6102,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_107 ),
inference(constrained_superposition,[],[f152,f6095]) ).
thf(f6118,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_32
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f6102]) ).
thf(f6139,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_13
| ~ spl2_32
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f6118,f1029]) ).
thf(f6141,plain,
( spl2_128
| spl2_112
| spl2_13
| ~ spl2_32
| ~ spl2_107 ),
inference(avatar_split_clause,[],[f6139,f2551,f271,f165,f2569,f3020]) ).
thf(f6237,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f3338]) ).
thf(f6249,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_95
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2510,f2559]) ).
thf(f6250,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_98
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2521,f2559]) ).
thf(f6251,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_102
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2534,f2559]) ).
thf(f6252,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2538,f2559]) ).
thf(f6253,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_107
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2552,f2559]) ).
thf(f6254,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_109
| ~ spl2_116 ),
inference(constrained_superposition,[],[f2615,f2559]) ).
thf(f6255,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_109
| ~ spl2_117 ),
inference(constrained_superposition,[],[f2619,f2559]) ).
thf(f6257,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3016,f2559]) ).
thf(f6259,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| ~ spl2_131 ),
inference(constrained_superposition,[],[f3109,f2559]) ).
thf(f6275,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_36
| ~ spl2_109 ),
inference(constrained_superposition,[],[f347,f2559]) ).
thf(f6290,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_109
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3788,f2559]) ).
thf(f6314,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_71
| ~ spl2_109 ),
inference(constrained_superposition,[],[f1634,f2559]) ).
thf(f6380,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_109
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3221,f2559]) ).
thf(f6387,plain,
( $false
| spl2_12
| ~ spl2_107
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6253,f615]) ).
thf(f6388,plain,
( spl2_12
| ~ spl2_107
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6387]) ).
thf(f6390,definition,
( spl2_216
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f6391,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f6390]) ).
thf(f6393,plain,
( spl2_30
| ~ spl2_109
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f6255,f2618,f2558,f260]) ).
thf(f6394,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45
| ~ spl2_109
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f6290,f619]) ).
thf(f6396,plain,
( $false
| spl2_77
| ~ spl2_103
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6252,f1954]) ).
thf(f6397,plain,
( spl2_77
| ~ spl2_103
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6396]) ).
thf(f6403,plain,
( $false
| spl2_18
| ~ spl2_102
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6251,f183]) ).
thf(f6404,plain,
( spl2_18
| ~ spl2_102
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6403]) ).
thf(f6405,plain,
( spl2_124
| ~ spl2_109
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f6259,f3108,f2558,f2879]) ).
thf(f6407,definition,
( spl2_217
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).
thf(f6408,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_217 ),
inference(avatar_component_clause,[],[f6407]) ).
thf(f6412,definition,
( spl2_218
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).
thf(f6413,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_218 ),
inference(avatar_component_clause,[],[f6412]) ).
thf(f6418,plain,
( spl2_75
| ~ spl2_109
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f6257,f3015,f2558,f1945]) ).
thf(f6420,definition,
( spl2_219
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f6421,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_219 ),
inference(avatar_component_clause,[],[f6420]) ).
thf(f6422,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f6033]) ).
thf(f6424,definition,
( spl2_220
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f6425,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_220 ),
inference(avatar_component_clause,[],[f6424]) ).
thf(f6426,plain,
( ~ spl2_219
| spl2_211
| ~ spl2_220
| ~ spl2_109
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f6380,f3015,f2558,f6424,f6033,f6420]) ).
thf(f6428,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| ~ spl2_71
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6314,f1016]) ).
thf(f6430,plain,
( spl2_27
| ~ spl2_109
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f6254,f2614,f2558,f233]) ).
thf(f6433,definition,
( spl2_221
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f6434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f6433]) ).
thf(f6436,plain,
( ~ spl2_17
| spl2_98
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f6250,f2558,f2520,f179]) ).
thf(f6437,plain,
( $false
| ~ spl2_25
| spl2_95
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6249,f228]) ).
thf(f6438,plain,
( ~ spl2_25
| spl2_95
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6437]) ).
thf(f6442,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_36
| spl2_45
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6275,f619]) ).
thf(f6445,definition,
( spl2_222
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f6446,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f6445]) ).
thf(f6448,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_109
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f6394,f3787,f2558,f618,f179]) ).
thf(f6458,definition,
( spl2_223
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f6459,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f6458]) ).
thf(f6463,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6428,f619]) ).
thf(f6468,plain,
( $false
| spl2_12
| ~ spl2_36
| spl2_45
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6442,f615]) ).
thf(f6469,plain,
( spl2_12
| ~ spl2_36
| spl2_45
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6468]) ).
thf(f6474,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6463,f48]) ).
thf(f6483,plain,
( $false
| spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6474,f615]) ).
thf(f6484,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6483]) ).
thf(f6492,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| spl2_109 ),
inference(extensionality_resolution,[],[f641,f3747]) ).
thf(f6504,definition,
( spl2_224
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f6505,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_224 ),
inference(avatar_component_clause,[],[f6504]) ).
thf(f6507,definition,
( spl2_225
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f6508,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f6507]) ).
thf(f6511,definition,
( spl2_226
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f6512,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f6511]) ).
thf(f6514,definition,
( spl2_227
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f6515,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f6514]) ).
thf(f6519,definition,
( spl2_228
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f6520,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f6519]) ).
thf(f6522,definition,
( spl2_229
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f6523,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f6522]) ).
thf(f6526,definition,
( spl2_230
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f6527,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f6526]) ).
thf(f6529,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(f6530,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f6529]) ).
thf(f6533,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_97
| ~ spl2_116 ),
inference(constrained_superposition,[],[f2615,f2517]) ).
thf(f6534,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_131 ),
inference(constrained_superposition,[],[f3109,f2517]) ).
thf(f6536,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_97 ),
inference(constrained_superposition,[],[f272,f2517]) ).
thf(f6539,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f6533]) ).
thf(f6543,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f6536]) ).
thf(f6544,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f6534]) ).
thf(f6545,plain,
( $false
| spl2_4
| ~ spl2_97
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f6539,f382]) ).
thf(f6546,plain,
( spl2_4
| ~ spl2_97
| ~ spl2_116 ),
inference(avatar_contradiction_clause,[],[f6545]) ).
thf(f6548,definition,
( spl2_232
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f6549,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f6548]) ).
thf(f6552,plain,
( $false
| ~ spl2_32
| ~ spl2_97
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f6543,f2552]) ).
thf(f6553,plain,
( ~ spl2_32
| ~ spl2_97
| ~ spl2_107 ),
inference(avatar_contradiction_clause,[],[f6552]) ).
thf(f6554,plain,
( $false
| ~ spl2_15
| ~ spl2_97
| ~ spl2_131 ),
inference(forward_subsumption_resolution,[],[f6544,f173]) ).
thf(f6555,plain,
( ~ spl2_15
| ~ spl2_97
| ~ spl2_131 ),
inference(avatar_contradiction_clause,[],[f6554]) ).
thf(f6577,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_13
| ~ spl2_28 ),
inference(constrained_superposition,[],[f1029,f243]) ).
thf(f6608,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_28
| spl2_109 ),
inference(constrained_superposition,[],[f3747,f243]) ).
thf(f6612,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_28
| spl2_118 ),
inference(constrained_superposition,[],[f5205,f243]) ).
thf(f6673,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_28 ),
inference(constrained_superposition,[],[f500,f243]) ).
thf(f6724,plain,
( $false
| spl2_8
| spl2_13
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f6577,f106]) ).
thf(f6725,plain,
( spl2_8
| spl2_13
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f6724]) ).
thf(f6726,plain,
( $false
| ~ spl2_28
| spl2_118 ),
inference(forward_subsumption_resolution,[],[f6612,f243]) ).
thf(f6727,plain,
( ~ spl2_28
| spl2_118 ),
inference(avatar_contradiction_clause,[],[f6726]) ).
thf(f6728,plain,
( $false
| ~ spl2_28
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f6608,f243]) ).
thf(f6729,plain,
( ~ spl2_28
| spl2_109 ),
inference(avatar_contradiction_clause,[],[f6728]) ).
thf(f6742,definition,
( spl2_233
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f6743,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f6742]) ).
thf(f6772,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f6673,f106]) ).
thf(f6789,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f6772,f48]) ).
thf(f6801,plain,
( $false
| spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f6789,f93]) ).
thf(f6802,plain,
( spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f6801]) ).
thf(f6810,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_71
| ~ spl2_133 ),
inference(constrained_superposition,[],[f1385,f6237]) ).
thf(f6813,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_127
| ~ spl2_133 ),
inference(constrained_superposition,[],[f3016,f6237]) ).
thf(f6815,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f152,f6237]) ).
thf(f6817,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f72,f6237]) ).
thf(f6820,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_81
| ~ spl2_133 ),
inference(constrained_superposition,[],[f1972,f6237]) ).
thf(f6835,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_127
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f6813]) ).
thf(f6840,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_71
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f6810]) ).
thf(f6841,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f6817]) ).
thf(f6853,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_81
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f6820]) ).
thf(f6857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f6815]) ).
thf(f6863,definition,
( spl2_235
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_235])],[avatar_definition]) ).
thf(f6864,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_235 ),
inference(avatar_component_clause,[],[f6863]) ).
thf(f6865,plain,
( spl2_235
| spl2_106
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f6841,f3338,f2547,f6863]) ).
thf(f6866,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_32
| ~ spl2_81
| ~ spl2_107
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f6853,f6095]) ).
thf(f6867,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_81
| ~ spl2_107
| spl2_118
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f6866,f5205]) ).
thf(f6868,plain,
( spl2_106
| ~ spl2_32
| ~ spl2_81
| ~ spl2_107
| spl2_118
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f6867,f3338,f2666,f2551,f1971,f271,f2547]) ).
thf(f6921,definition,
( spl2_236
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f6922,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f6921]) ).
thf(f6924,definition,
( spl2_237
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f6925,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f6924]) ).
thf(f6928,definition,
( spl2_238
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).
thf(f6929,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_238 ),
inference(avatar_component_clause,[],[f6928]) ).
thf(f6932,definition,
( spl2_239
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f6933,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_239 ),
inference(avatar_component_clause,[],[f6932]) ).
thf(f6935,definition,
( spl2_240
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f6936,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_240 ),
inference(avatar_component_clause,[],[f6935]) ).
thf(f6939,definition,
( spl2_241
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f6940,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_241 ),
inference(avatar_component_clause,[],[f6939]) ).
thf(f6943,definition,
( spl2_242
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_242])],[avatar_definition]) ).
thf(f6944,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_242 ),
inference(avatar_component_clause,[],[f6943]) ).
thf(f6957,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_32
| ~ spl2_147 ),
inference(constrained_superposition,[],[f399,f4163]) ).
thf(f6964,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_32
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f6957]) ).
thf(f6967,definition,
( spl2_245
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f6968,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f6967]) ).
thf(f6971,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_32
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f6964,f48]) ).
thf(f6976,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_147 ),
inference(constrained_superposition,[],[f152,f6971]) ).
thf(f6978,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_147 ),
inference(constrained_superposition,[],[f72,f6971]) ).
thf(f6994,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f6976]) ).
thf(f7002,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_32
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f6978]) ).
thf(f7010,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13
| ~ spl2_32
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f6994,f1029]) ).
thf(f7012,definition,
( spl2_246
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f7013,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f7012]) ).
thf(f7016,definition,
( spl2_247
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f7017,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_247 ),
inference(avatar_component_clause,[],[f7016]) ).
thf(f7018,plain,
( spl2_157
| spl2_247
| ~ spl2_32
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7002,f4162,f271,f7016,f4195]) ).
thf(f7027,definition,
( spl2_250
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).
thf(f7028,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_250 ),
inference(avatar_component_clause,[],[f7027]) ).
thf(f7029,plain,
( spl2_155
| spl2_250
| spl2_13
| ~ spl2_32
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7010,f4162,f271,f165,f7027,f4189]) ).
thf(f7051,definition,
( spl2_251
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f7052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f7051]) ).
thf(f7055,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_240 ),
inference(constrained_superposition,[],[f6936,f133]) ).
thf(f7057,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_240 ),
inference(constrained_superposition,[],[f6936,f27]) ).
thf(f7058,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_240 ),
inference(trivial_inequality_removal,[],[f7055]) ).
thf(f7060,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_240 ),
inference(trivial_inequality_removal,[],[f7057]) ).
thf(f7061,plain,
( spl2_155
| spl2_240 ),
inference(avatar_split_clause,[],[f7058,f6935,f4189]) ).
thf(f7063,plain,
( spl2_197
| spl2_155
| spl2_240 ),
inference(avatar_split_clause,[],[f7060,f6935,f4189,f5426]) ).
thf(f7065,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_239 ),
inference(constrained_superposition,[],[f6933,f50]) ).
thf(f7067,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_239 ),
inference(trivial_inequality_removal,[],[f7065]) ).
thf(f7069,plain,
( spl2_147
| spl2_239 ),
inference(avatar_split_clause,[],[f7067,f6932,f4162]) ).
thf(f7072,definition,
( spl2_252
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f7073,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f7072]) ).
thf(f7083,plain,
( spl2_1
| spl2_6 ),
inference(avatar_split_clause,[],[f330,f99,f75]) ).
thf(f7090,plain,
( ~ spl2_12
| ~ spl2_103
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f4238,f3108,f2537,f161]) ).
thf(f7142,definition,
( spl2_264
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f7143,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f7142]) ).
thf(f7144,plain,
( spl2_264
| ~ spl2_17
| ~ spl2_6
| spl2_13 ),
inference(avatar_split_clause,[],[f1366,f165,f99,f179,f7142]) ).
thf(f7146,definition,
( spl2_265
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f7147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_265 ),
inference(avatar_component_clause,[],[f7146]) ).
thf(f7206,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_183 ),
inference(constrained_superposition,[],[f2619,f5323]) ).
thf(f7217,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f7206]) ).
thf(f7220,definition,
( spl2_267
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_267])],[avatar_definition]) ).
thf(f7221,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_267 ),
inference(avatar_component_clause,[],[f7220]) ).
thf(f7223,definition,
( spl2_268
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f7224,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f7223]) ).
thf(f7252,definition,
( spl2_271
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_271])],[avatar_definition]) ).
thf(f7253,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_271 ),
inference(avatar_component_clause,[],[f7252]) ).
thf(f7257,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_112 ),
inference(avatar_component_clause,[],[f2569]) ).
thf(f7275,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f2577]) ).
thf(f7317,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_128 ),
inference(constrained_superposition,[],[f3021,f27]) ).
thf(f7331,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f7317]) ).
thf(f7333,plain,
( spl2_129
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f7331,f3020,f3056]) ).
thf(f7336,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_154
| ~ spl2_183 ),
inference(constrained_superposition,[],[f4186,f5323]) ).
thf(f7351,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_154
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f7336]) ).
thf(f7353,plain,
( $false
| ~ spl2_103
| ~ spl2_154
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f7351,f2538]) ).
thf(f7354,plain,
( ~ spl2_103
| ~ spl2_154
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f7353]) ).
thf(f7369,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_36
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5317,f347]) ).
thf(f7370,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5317,f2214]) ).
thf(f7373,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_37
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f7370]) ).
thf(f7376,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_36
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f7369]) ).
thf(f7379,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_37
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f7373,f48]) ).
thf(f7380,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_36
| ~ spl2_117
| ~ spl2_173
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f7376,f5904]) ).
thf(f7382,plain,
( spl2_205
| spl2_188
| spl2_20
| ~ spl2_37
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f7379,f5316,f367,f193,f5379,f5948]) ).
thf(f7383,plain,
( spl2_20
| ~ spl2_36
| ~ spl2_117
| ~ spl2_173
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f7380,f5316,f5260,f2618,f346,f193]) ).
thf(f7391,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5431,f5261]) ).
thf(f7404,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f7391]) ).
thf(f7408,plain,
( $false
| ~ spl2_103
| ~ spl2_173
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f7404,f2538]) ).
thf(f7409,plain,
( ~ spl2_103
| ~ spl2_173
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f7408]) ).
thf(f7432,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_25
| ~ spl2_224 ),
inference(constrained_superposition,[],[f1327,f6505]) ).
thf(f7438,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f7432]) ).
thf(f7450,definition,
( spl2_273
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_273])],[avatar_definition]) ).
thf(f7451,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_273 ),
inference(avatar_component_clause,[],[f7450]) ).
thf(f7453,definition,
( spl2_274
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f7454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f7453]) ).
thf(f7457,definition,
( spl2_275
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f7458,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f7457]) ).
thf(f7459,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202 ),
inference(avatar_component_clause,[],[f5937]) ).
thf(f7472,definition,
( spl2_278
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f7473,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f7472]) ).
thf(f7502,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_25
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f7438,f48]) ).
thf(f7503,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f7502,f48]) ).
thf(f7504,plain,
( spl2_156
| spl2_187
| spl2_155
| spl2_197
| ~ spl2_25
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f7503,f6504,f227,f5426,f4189,f5337,f4192]) ).
thf(f7505,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_153 ),
inference(constrained_superposition,[],[f4214,f27]) ).
thf(f7506,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_153 ),
inference(trivial_inequality_removal,[],[f7505]) ).
thf(f7507,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_153 ),
inference(forward_subsumption_resolution,[],[f7506,f48]) ).
thf(f7508,plain,
( spl2_156
| spl2_153 ),
inference(avatar_split_clause,[],[f7507,f4182,f4192]) ).
thf(f7509,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_153 ),
inference(constrained_superposition,[],[f434,f4183]) ).
thf(f7510,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_48
| ~ spl2_153 ),
inference(constrained_superposition,[],[f740,f4183]) ).
thf(f7518,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_47
| ~ spl2_153 ),
inference(constrained_superposition,[],[f2027,f4183]) ).
thf(f7520,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_38
| ~ spl2_153 ),
inference(constrained_superposition,[],[f432,f4183]) ).
thf(f7531,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_38
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f7520]) ).
thf(f7533,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_38
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f7509]) ).
thf(f7540,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_48
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f7510]) ).
thf(f7541,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_47
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f7518]) ).
thf(f7550,definition,
( spl2_283
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f7551,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f7550]) ).
thf(f7557,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_48
| ~ spl2_117
| ~ spl2_153
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f7540,f7217]) ).
thf(f7558,plain,
( spl2_149
| spl2_197
| spl2_157
| spl2_184
| ~ spl2_47
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f7541,f4182,f692,f5325,f4195,f5426,f4168]) ).
thf(f7560,definition,
( spl2_285
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f7561,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f7560]) ).
thf(f7566,definition,
( spl2_286
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).
thf(f7567,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f7566]) ).
thf(f7569,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_48
| ~ spl2_117
| ~ spl2_153
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f7557,f48]) ).
thf(f7570,plain,
( spl2_149
| ~ spl2_48
| ~ spl2_117
| ~ spl2_153
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f7569,f5322,f4182,f2618,f697,f4168]) ).
thf(f7572,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_157
| ~ spl2_245 ),
inference(constrained_superposition,[],[f6968,f4196]) ).
thf(f7580,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_157
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f7572]) ).
thf(f7585,plain,
( $false
| ~ spl2_1
| ~ spl2_157
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f7580,f76]) ).
thf(f7586,plain,
( ~ spl2_1
| ~ spl2_157
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f7585]) ).
thf(f7588,definition,
( spl2_287
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f7589,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f7588]) ).
thf(f7592,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_48
| ~ spl2_179 ),
inference(constrained_superposition,[],[f740,f5306]) ).
thf(f7616,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_48
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f7592]) ).
thf(f7630,definition,
( spl2_288
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f7631,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f7630]) ).
thf(f7637,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_48
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f7616,f48]) ).
thf(f7639,definition,
( spl2_290
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f7640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f7639]) ).
thf(f7645,definition,
( spl2_291
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_291])],[avatar_definition]) ).
thf(f7646,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f7645]) ).
thf(f7649,definition,
( spl2_292
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f7650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f7649]) ).
thf(f7653,plain,
( spl2_187
| spl2_288
| ~ spl2_48
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f7637,f5305,f697,f7630,f5337]) ).
thf(f7668,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_273 ),
inference(constrained_superposition,[],[f7451,f50]) ).
thf(f7670,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_273 ),
inference(trivial_inequality_removal,[],[f7668]) ).
thf(f7707,definition,
( spl2_293
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f7708,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f7707]) ).
thf(f7718,definition,
( spl2_296
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).
thf(f7719,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f7718]) ).
thf(f7722,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_219 ),
inference(constrained_superposition,[],[f6421,f62]) ).
thf(f7725,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_219 ),
inference(trivial_inequality_removal,[],[f7722]) ).
thf(f7727,plain,
( spl2_188
| spl2_219 ),
inference(avatar_split_clause,[],[f7725,f6420,f5379]) ).
thf(f7728,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f604,f4169]) ).
thf(f7729,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f224,f4169]) ).
thf(f7730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f57,f4169]) ).
thf(f7732,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7729]) ).
thf(f7733,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7730]) ).
thf(f7735,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7728]) ).
thf(f7737,definition,
( spl2_297
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_297])],[avatar_definition]) ).
thf(f7738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_297 ),
inference(avatar_component_clause,[],[f7737]) ).
thf(f7740,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f7732,f51]) ).
thf(f7743,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7740]) ).
thf(f7748,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f7743,f48]) ).
thf(f7750,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_24
| ~ spl2_127
| ~ spl2_149 ),
inference(constrained_superposition,[],[f3221,f7748]) ).
thf(f7751,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_24
| ~ spl2_119
| ~ spl2_149 ),
inference(constrained_superposition,[],[f3189,f7748]) ).
thf(f7772,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_24
| ~ spl2_127
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7750]) ).
thf(f7776,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_119
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7751]) ).
thf(f7786,plain,
( spl2_237
| ~ spl2_146
| ~ spl2_24
| ~ spl2_127
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f7772,f4168,f3015,f223,f4159,f6924]) ).
thf(f7788,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_119
| ~ spl2_149
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f7776,f4183]) ).
thf(f7789,plain,
( spl2_237
| ~ spl2_24
| ~ spl2_119
| ~ spl2_149
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f7788,f4182,f4168,f2670,f223,f6924]) ).
thf(f7790,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_116
| ~ spl2_237 ),
inference(constrained_superposition,[],[f2615,f6925]) ).
thf(f7792,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_237
| ~ spl2_245 ),
inference(constrained_superposition,[],[f6968,f6925]) ).
thf(f7804,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_237
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f7792]) ).
thf(f7805,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_116
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f7790]) ).
thf(f7807,plain,
( $false
| ~ spl2_107
| ~ spl2_237
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f7804,f2552]) ).
thf(f7808,plain,
( ~ spl2_107
| ~ spl2_237
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f7807]) ).
thf(f7821,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(constrained_superposition,[],[f224,f7631]) ).
thf(f7825,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f7821]) ).
thf(f7829,definition,
( spl2_300
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f7830,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f7829]) ).
thf(f7832,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(constrained_superposition,[],[f7825,f51]) ).
thf(f7835,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f7832]) ).
thf(f7840,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f7835,f48]) ).
thf(f7843,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_119
| ~ spl2_288 ),
inference(constrained_superposition,[],[f3189,f7840]) ).
thf(f7862,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_119
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f7843]) ).
thf(f7874,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_119
| ~ spl2_179
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f7862,f5306]) ).
thf(f7881,plain,
( spl2_194
| ~ spl2_24
| ~ spl2_119
| ~ spl2_179
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f7874,f7630,f5305,f2670,f223,f5401]) ).
thf(f7917,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f62,f5309]) ).
thf(f7924,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f134,f5309]) ).
thf(f7929,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| ~ spl2_180 ),
inference(constrained_superposition,[],[f434,f5309]) ).
thf(f7930,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_180 ),
inference(constrained_superposition,[],[f454,f5309]) ).
thf(f7931,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f604,f5309]) ).
thf(f7937,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f1523,f5309]) ).
thf(f7940,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f2486,f5309]) ).
thf(f7944,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_180 ),
inference(constrained_superposition,[],[f2567,f5309]) ).
thf(f7947,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_144
| ~ spl2_180 ),
inference(constrained_superposition,[],[f3788,f5309]) ).
thf(f7969,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_32
| ~ spl2_180 ),
inference(constrained_superposition,[],[f399,f5309]) ).
thf(f7977,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_48
| ~ spl2_180 ),
inference(constrained_superposition,[],[f740,f5309]) ).
thf(f7984,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_71
| ~ spl2_180 ),
inference(constrained_superposition,[],[f1398,f5309]) ).
thf(f8001,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_180 ),
inference(duplicate_literal_removal,[],[f7944]) ).
thf(f8006,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_180 ),
inference(duplicate_literal_removal,[],[f7940]) ).
thf(f8010,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45
| ~ spl2_144
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7947,f619]) ).
thf(f8012,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_25
| spl2_45
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7930,f619]) ).
thf(f8014,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| ~ spl2_48
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7977,f615]) ).
thf(f8016,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_35
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7931,f326]) ).
thf(f8019,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_114
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8001,f7275]) ).
thf(f8022,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| spl2_45
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7929,f619]) ).
thf(f8023,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_134
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7937,f3343]) ).
thf(f8027,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7917,f106]) ).
thf(f8031,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_8
| ~ spl2_32
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7969,f106]) ).
thf(f8033,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_35
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7924,f326]) ).
thf(f8034,plain,
( spl2_158
| spl2_152
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8006,f5308,f4178,f4202]) ).
thf(f8035,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_71
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f7984,f48]) ).
thf(f8038,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_144
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8010,f5308,f3787,f618,f179]) ).
thf(f8039,plain,
( ~ spl2_17
| spl2_50
| ~ spl2_25
| spl2_45
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8012,f5308,f618,f227,f786,f179]) ).
thf(f8042,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| ~ spl2_48
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8014,f48]) ).
thf(f8044,plain,
( spl2_124
| spl2_21
| spl2_35
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8016,f5308,f325,f198,f2879]) ).
thf(f8047,definition,
( spl2_303
<=> ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f8048,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f8047]) ).
thf(f8049,plain,
( spl2_152
| spl2_303
| ~ spl2_111
| ~ spl2_114
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8019,f5308,f2577,f2566,f8047,f4178]) ).
thf(f8050,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8022,f228]) ).
thf(f8051,plain,
( spl2_152
| spl2_134
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8023,f5308,f3342,f4178]) ).
thf(f8056,plain,
( $false
| spl2_8
| spl2_79
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8027,f1965]) ).
thf(f8057,plain,
( spl2_8
| spl2_79
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f8056]) ).
thf(f8059,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8031,f76]) ).
thf(f8060,plain,
( $false
| spl2_35
| spl2_45
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8033,f619]) ).
thf(f8061,plain,
( spl2_35
| spl2_45
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f8060]) ).
thf(f8062,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| ~ spl2_71
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8035,f1029]) ).
thf(f8064,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| ~ spl2_25
| ~ spl2_48
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8042,f228]) ).
thf(f8067,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f8050,f5308,f618,f371,f227,f179]) ).
thf(f8069,plain,
( $false
| ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8059,f48]) ).
thf(f8070,plain,
( ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f8069]) ).
thf(f8071,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8062,f619]) ).
thf(f8074,plain,
( $false
| spl2_12
| ~ spl2_25
| spl2_45
| ~ spl2_48
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8064,f619]) ).
thf(f8075,plain,
( spl2_12
| ~ spl2_25
| spl2_45
| ~ spl2_48
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f8074]) ).
thf(f8078,plain,
( $false
| spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f8071,f615]) ).
thf(f8079,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f8078]) ).
thf(f8101,definition,
( spl2_304
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_304])],[avatar_definition]) ).
thf(f8102,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f8101]) ).
thf(f8104,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_202 ),
inference(constrained_superposition,[],[f7459,f133]) ).
thf(f8109,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f8104]) ).
thf(f8114,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_286 ),
inference(constrained_superposition,[],[f7567,f63]) ).
thf(f8117,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f8114]) ).
thf(f8155,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_182
| ~ spl2_211 ),
inference(constrained_superposition,[],[f5317,f6422]) ).
thf(f8158,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_182
| ~ spl2_187 ),
inference(constrained_superposition,[],[f5317,f5338]) ).
thf(f8161,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_182
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f8158]) ).
thf(f8163,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_182
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f8155]) ).
thf(f8165,plain,
( spl2_29
| ~ spl2_182
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f8161,f5337,f5316,f256]) ).
thf(f8167,plain,
( spl2_20
| ~ spl2_182
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f8163,f6033,f5316,f193]) ).
thf(f8172,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7028,f6505]) ).
thf(f8180,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f8172]) ).
thf(f8182,plain,
( ~ spl2_219
| ~ spl2_224
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f8180,f7027,f6504,f6420]) ).
thf(f8184,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_199
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5435,f6508]) ).
thf(f8193,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_199
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f8184]) ).
thf(f8197,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_155 ),
inference(avatar_component_clause,[],[f4189]) ).
thf(f8200,definition,
( spl2_305
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f8201,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f8200]) ).
thf(f8203,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_288 ),
inference(avatar_component_clause,[],[f7630]) ).
thf(f8205,definition,
( spl2_306
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f8206,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f8205]) ).
thf(f8232,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_25
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f6492,f134]) ).
thf(f8233,plain,
( spl2_268
| spl2_306
| ~ spl2_45
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f7735,f4168,f618,f8205,f7223]) ).
thf(f8240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_112
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f6857,f7257]) ).
thf(f8245,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_25
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f8232,f228]) ).
thf(f8258,plain,
( spl2_206
| ~ spl2_35
| spl2_112
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f8240,f3338,f2569,f325,f5974]) ).
thf(f8259,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25
| spl2_109
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f8245,f5991]) ).
thf(f8262,plain,
( ~ spl2_35
| ~ spl2_25
| spl2_109
| spl2_120 ),
inference(avatar_split_clause,[],[f8259,f2674,f2558,f227,f325]) ).
thf(f8265,plain,
( ~ spl2_239
| spl2_197
| spl2_155
| ~ spl2_38
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f7531,f4182,f371,f4189,f5426,f6932]) ).
thf(f8266,plain,
( ~ spl2_239
| spl2_155
| ~ spl2_38
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f7533,f4182,f371,f4189,f6932]) ).
thf(f8267,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_149
| ~ spl2_197 ),
inference(constrained_superposition,[],[f4169,f5427]) ).
thf(f8269,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_174
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5264,f5427]) ).
thf(f8271,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5323,f5427]) ).
thf(f8283,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149
| ~ spl2_197 ),
inference(constrained_superposition,[],[f7732,f5427]) ).
thf(f8295,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f134,f5427]) ).
thf(f8298,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f152,f5427]) ).
thf(f8300,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_38
| ~ spl2_197 ),
inference(constrained_superposition,[],[f434,f5427]) ).
thf(f8301,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_197 ),
inference(constrained_superposition,[],[f454,f5427]) ).
thf(f8302,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f604,f5427]) ).
thf(f8308,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_197 ),
inference(constrained_superposition,[],[f2567,f5427]) ).
thf(f8328,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_71
| ~ spl2_197 ),
inference(constrained_superposition,[],[f1398,f5427]) ).
thf(f8382,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_197 ),
inference(duplicate_literal_removal,[],[f8308]) ).
thf(f8383,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_197 ),
inference(duplicate_literal_removal,[],[f8298]) ).
thf(f8385,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f618]) ).
thf(f8386,plain,
( spl2_50
| spl2_45
| ~ spl2_17
| ~ spl2_25
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8301,f5426,f227,f179,f618,f786]) ).
thf(f8387,plain,
( spl2_45
| ~ spl2_149
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8267,f5426,f4168,f618]) ).
thf(f8390,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f325]) ).
thf(f8392,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_114
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8382,f7275]) ).
thf(f8397,plain,
( $false
| spl2_112
| ~ spl2_183
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8271,f7257]) ).
thf(f8398,plain,
( spl2_112
| ~ spl2_183
| ~ spl2_197 ),
inference(avatar_contradiction_clause,[],[f8397]) ).
thf(f8405,plain,
( $false
| spl2_134
| ~ spl2_174
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8269,f3343]) ).
thf(f8406,plain,
( spl2_134
| ~ spl2_174
| ~ spl2_197 ),
inference(avatar_contradiction_clause,[],[f8405]) ).
thf(f8408,plain,
( spl2_35
| spl2_21
| spl2_124
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8302,f5426,f2879,f198,f325]) ).
thf(f8409,plain,
( $false
| ~ spl2_15
| ~ spl2_24
| ~ spl2_149
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8283,f173]) ).
thf(f8410,plain,
( ~ spl2_15
| ~ spl2_24
| ~ spl2_149
| ~ spl2_197 ),
inference(avatar_contradiction_clause,[],[f8409]) ).
thf(f8411,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_38
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8300,f228]) ).
thf(f8413,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_13
| ~ spl2_71
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8328,f1029]) ).
thf(f8415,plain,
( spl2_35
| spl2_45
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8295,f5426,f618,f325]) ).
thf(f8417,definition,
( spl2_312
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f8418,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f8417]) ).
thf(f8419,plain,
( spl2_312
| spl2_45
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8383,f5426,f618,f8417]) ).
thf(f8428,plain,
( spl2_152
| spl2_303
| ~ spl2_111
| ~ spl2_114
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8392,f5426,f2577,f2566,f8047,f4178]) ).
thf(f8430,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_25
| ~ spl2_38
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8411,f5426,f371,f227,f618,f179]) ).
thf(f8432,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_13
| ~ spl2_71
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8413,f48]) ).
thf(f8437,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| spl2_13
| ~ spl2_71
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f8432,f615]) ).
thf(f8441,plain,
( spl2_45
| spl2_12
| spl2_13
| ~ spl2_71
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8437,f5426,f1384,f165,f161,f618]) ).
thf(f8447,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_45 ),
inference(constrained_superposition,[],[f224,f8385]) ).
thf(f8451,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f8447]) ).
thf(f8456,plain,
( $false
| ~ spl2_15
| ~ spl2_24
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f8451,f173]) ).
thf(f8457,plain,
( ~ spl2_15
| ~ spl2_24
| ~ spl2_45 ),
inference(avatar_contradiction_clause,[],[f8456]) ).
thf(f8464,plain,
( ( $true != $true )
| ~ spl2_34
| spl2_112 ),
inference(constrained_superposition,[],[f7257,f323]) ).
thf(f8473,plain,
( $false
| ~ spl2_34
| spl2_112 ),
inference(trivial_inequality_removal,[],[f8464]) ).
thf(f8474,plain,
( ~ spl2_34
| spl2_112 ),
inference(avatar_contradiction_clause,[],[f8473]) ).
thf(f8489,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_116
| ~ spl2_152 ),
inference(constrained_superposition,[],[f2615,f4179]) ).
thf(f8491,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_152 ),
inference(constrained_superposition,[],[f2619,f4179]) ).
thf(f8493,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_152 ),
inference(constrained_superposition,[],[f29,f4179]) ).
thf(f8494,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f8491]) ).
thf(f8495,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_116
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f8489]) ).
thf(f8497,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f8493]) ).
thf(f8499,plain,
( $false
| ~ spl2_107
| ~ spl2_117
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f8494,f2552]) ).
thf(f8500,plain,
( ~ spl2_107
| ~ spl2_117
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f8499]) ).
thf(f8501,plain,
( $false
| ~ spl2_103
| ~ spl2_116
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f8495,f2538]) ).
thf(f8502,plain,
( ~ spl2_103
| ~ spl2_116
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f8501]) ).
thf(f8504,definition,
( spl2_315
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).
thf(f8505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_315 ),
inference(avatar_component_clause,[],[f8504]) ).
thf(f8506,plain,
( spl2_315
| spl2_132
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f8497,f4178,f3111,f8504]) ).
thf(f8518,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_288 ),
inference(constrained_superposition,[],[f8203,f134]) ).
thf(f8522,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_64
| spl2_288 ),
inference(constrained_superposition,[],[f8203,f1189]) ).
thf(f8525,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_288 ),
inference(trivial_inequality_removal,[],[f8518]) ).
thf(f8528,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_64
| spl2_288 ),
inference(trivial_inequality_removal,[],[f8522]) ).
thf(f8530,plain,
( spl2_185
| spl2_288 ),
inference(avatar_split_clause,[],[f8525,f7630,f5329]) ).
thf(f8532,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_64
| spl2_288 ),
inference(forward_subsumption_resolution,[],[f8528,f48]) ).
thf(f8534,plain,
( spl2_186
| spl2_205
| ~ spl2_64
| spl2_288 ),
inference(avatar_split_clause,[],[f8532,f7630,f1188,f5948,f5334]) ).
thf(f8590,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_149 ),
inference(constrained_superposition,[],[f2880,f4169]) ).
thf(f8591,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_288 ),
inference(constrained_superposition,[],[f2880,f7631]) ).
thf(f8598,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f8590]) ).
thf(f8599,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_124
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f8591]) ).
thf(f8605,plain,
( $false
| ~ spl2_124
| ~ spl2_149
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f8598,f4190]) ).
thf(f8606,plain,
( ~ spl2_124
| ~ spl2_149
| ~ spl2_155 ),
inference(avatar_contradiction_clause,[],[f8605]) ).
thf(f8607,plain,
( $false
| ~ spl2_124
| ~ spl2_211
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f8599,f6422]) ).
thf(f8608,plain,
( ~ spl2_124
| ~ spl2_211
| ~ spl2_288 ),
inference(avatar_contradiction_clause,[],[f8607]) ).
thf(f8611,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_237
| ~ spl2_268 ),
inference(constrained_superposition,[],[f7224,f6925]) ).
thf(f8612,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_155
| ~ spl2_268 ),
inference(constrained_superposition,[],[f7224,f4190]) ).
thf(f8618,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_237
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f8611]) ).
thf(f8619,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_155
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f8612]) ).
thf(f8623,plain,
( spl2_139
| ~ spl2_237
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f8618,f7223,f6924,f3493]) ).
thf(f8624,plain,
( spl2_20
| ~ spl2_155
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f8619,f7223,f4189,f193]) ).
thf(f8630,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_71
| ~ spl2_306 ),
inference(constrained_superposition,[],[f1385,f8206]) ).
thf(f8631,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_48
| ~ spl2_306 ),
inference(constrained_superposition,[],[f698,f8206]) ).
thf(f8633,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_286
| ~ spl2_306 ),
inference(constrained_superposition,[],[f7567,f8206]) ).
thf(f8638,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f625,f8206]) ).
thf(f8655,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_48
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f8631]) ).
thf(f8661,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_286
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f8633]) ).
thf(f8666,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f8638]) ).
thf(f8668,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_71
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f8630]) ).
thf(f8671,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_48
| ~ spl2_153
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f8655,f4183]) ).
thf(f8677,plain,
( ~ spl2_17
| ~ spl2_286
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f8661,f8205,f7566,f179]) ).
thf(f8678,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_237
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f8666,f7805]) ).
thf(f8679,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_71
| ~ spl2_117
| ~ spl2_183
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f8668,f7217]) ).
thf(f8681,plain,
( $false
| ~ spl2_48
| ~ spl2_117
| ~ spl2_153
| ~ spl2_183
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f8671,f7217]) ).
thf(f8682,plain,
( ~ spl2_48
| ~ spl2_117
| ~ spl2_153
| ~ spl2_183
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f8681]) ).
thf(f8683,plain,
( spl2_50
| ~ spl2_17
| ~ spl2_116
| ~ spl2_237
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f8678,f8205,f6924,f2614,f179,f786]) ).
thf(f8684,plain,
( ~ spl2_146
| ~ spl2_71
| ~ spl2_117
| ~ spl2_183
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f8679,f8205,f5322,f2618,f1384,f4159]) ).
thf(f8694,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_71
| ~ spl2_185 ),
inference(constrained_superposition,[],[f1385,f5330]) ).
thf(f8695,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_48
| ~ spl2_185 ),
inference(constrained_superposition,[],[f698,f5330]) ).
thf(f8723,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_48
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f8695]) ).
thf(f8727,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_71
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f8694]) ).
thf(f8736,definition,
( spl2_319
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_319])],[avatar_definition]) ).
thf(f8737,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_319 ),
inference(avatar_component_clause,[],[f8736]) ).
thf(f8741,definition,
( spl2_320
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f8742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f8741]) ).
thf(f8745,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_205 ),
inference(constrained_superposition,[],[f4262,f5949]) ).
thf(f8748,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f8745]) ).
thf(f8752,definition,
( spl2_321
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f8753,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f8752]) ).
thf(f8754,plain,
( spl2_321
| spl2_197
| ~ spl2_116
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f8748,f5948,f2614,f5426,f8752]) ).
thf(f8757,plain,
( spl2_187
| ~ spl2_220
| ~ spl2_71
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f8727,f5329,f1384,f6424,f5337]) ).
thf(f8759,definition,
( spl2_322
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f8760,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f8759]) ).
thf(f8765,plain,
( spl2_211
| spl2_202 ),
inference(avatar_split_clause,[],[f8109,f5937,f6033]) ).
thf(f8767,definition,
( spl2_323
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f8768,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f8767]) ).
thf(f8770,plain,
( spl2_187
| spl2_273 ),
inference(avatar_split_clause,[],[f7670,f7450,f5337]) ).
thf(f8771,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_179 ),
inference(avatar_component_clause,[],[f5305]) ).
thf(f8772,plain,
( ~ spl2_179
| spl2_187
| ~ spl2_48
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f8723,f5329,f697,f5337,f5305]) ).
thf(f8783,plain,
( ( $true != $true )
| ~ spl2_237
| ~ spl2_322 ),
inference(constrained_superposition,[],[f8760,f6925]) ).
thf(f8784,plain,
( ( $true != $true )
| ~ spl2_155
| ~ spl2_322 ),
inference(constrained_superposition,[],[f8760,f4190]) ).
thf(f8787,plain,
( $false
| ~ spl2_155
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f8784]) ).
thf(f8788,plain,
( ~ spl2_155
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f8787]) ).
thf(f8791,plain,
( $false
| ~ spl2_237
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f8783]) ).
thf(f8792,plain,
( ~ spl2_237
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f8791]) ).
thf(f8803,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_117
| ~ spl2_187 ),
inference(constrained_superposition,[],[f3134,f5338]) ).
thf(f8804,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_32
| ~ spl2_187 ),
inference(constrained_superposition,[],[f399,f5338]) ).
thf(f8808,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_117
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f8803]) ).
thf(f8812,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_32
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f8804]) ).
thf(f8813,plain,
( spl2_174
| spl2_197
| ~ spl2_117
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f8808,f5337,f2618,f5426,f5263]) ).
thf(f8815,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_32
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f8812,f48]) ).
thf(f8816,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_188 ),
inference(constrained_superposition,[],[f115,f5380]) ).
thf(f8817,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_188
| ~ spl2_199 ),
inference(constrained_superposition,[],[f5435,f5380]) ).
thf(f8821,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f8816]) ).
thf(f8823,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_188
| ~ spl2_199 ),
inference(trivial_inequality_removal,[],[f8817]) ).
thf(f8825,definition,
( spl2_326
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_326])],[avatar_definition]) ).
thf(f8826,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f8825]) ).
thf(f8828,plain,
( $false
| ~ spl2_9
| ~ spl2_188
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f8821,f5949]) ).
thf(f8829,plain,
( ~ spl2_9
| ~ spl2_188
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f8828]) ).
thf(f8831,plain,
( $false
| ~ spl2_1
| ~ spl2_188
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f8823,f76]) ).
thf(f8832,plain,
( ~ spl2_1
| ~ spl2_188
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f8831]) ).
thf(f8836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_187 ),
inference(constrained_superposition,[],[f152,f8815]) ).
thf(f8838,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_187 ),
inference(constrained_superposition,[],[f72,f8815]) ).
thf(f8853,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_32
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f8838]) ).
thf(f8856,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f8836]) ).
thf(f8866,plain,
( spl2_188
| spl2_296
| ~ spl2_32
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f8853,f5337,f271,f7718,f5379]) ).
thf(f8868,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_13
| ~ spl2_32
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f8856,f1029]) ).
thf(f8870,plain,
( spl2_211
| spl2_278
| spl2_13
| ~ spl2_32
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f8868,f5337,f271,f165,f7472,f6033]) ).
thf(f8871,plain,
( $false
| ~ spl2_32
| ~ spl2_187
| spl2_220 ),
inference(forward_subsumption_resolution,[],[f6425,f8815]) ).
thf(f8872,plain,
( ~ spl2_32
| ~ spl2_187
| spl2_220 ),
inference(avatar_contradiction_clause,[],[f8871]) ).
thf(f8885,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_202 ),
inference(constrained_superposition,[],[f372,f5938]) ).
thf(f8891,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_105
| ~ spl2_202 ),
inference(constrained_superposition,[],[f2545,f5938]) ).
thf(f8900,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f8885]) ).
thf(f8901,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_105
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f8891]) ).
thf(f8916,plain,
( ~ spl2_273
| ~ spl2_179
| ~ spl2_38
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f8900,f5937,f371,f5305,f7450]) ).
thf(f8924,definition,
( spl2_328
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_328])],[avatar_definition]) ).
thf(f8925,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_328 ),
inference(avatar_component_clause,[],[f8924]) ).
thf(f8981,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_116
| ~ spl2_194 ),
inference(constrained_superposition,[],[f2615,f5402]) ).
thf(f8983,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_194
| ~ spl2_199 ),
inference(constrained_superposition,[],[f5435,f5402]) ).
thf(f8987,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_194
| ~ spl2_199 ),
inference(trivial_inequality_removal,[],[f8983]) ).
thf(f8988,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_116
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f8981]) ).
thf(f8991,plain,
( $false
| ~ spl2_107
| ~ spl2_194
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f8987,f2552]) ).
thf(f8992,plain,
( ~ spl2_107
| ~ spl2_194
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f8991]) ).
thf(f8993,plain,
( $false
| ~ spl2_116
| ~ spl2_194
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f8988,f5949]) ).
thf(f8994,plain,
( ~ spl2_116
| ~ spl2_194
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f8993]) ).
thf(f8996,definition,
( spl2_329
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_329])],[avatar_definition]) ).
thf(f8997,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_329 ),
inference(avatar_component_clause,[],[f8996]) ).
thf(f9000,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_321 ),
inference(constrained_superposition,[],[f2671,f8753]) ).
thf(f9001,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_127
| ~ spl2_321 ),
inference(constrained_superposition,[],[f3016,f8753]) ).
thf(f9002,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_128
| ~ spl2_321 ),
inference(constrained_superposition,[],[f3021,f8753]) ).
thf(f9024,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_127
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f9001]) ).
thf(f9026,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_128
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f9002]) ).
thf(f9033,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_119
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f9000]) ).
thf(f9036,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_32
| ~ spl2_127
| ~ spl2_187
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f9024,f8815]) ).
thf(f9037,plain,
( ~ spl2_219
| ~ spl2_128
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f9026,f8752,f3020,f6420]) ).
thf(f9043,plain,
( ~ spl2_179
| ~ spl2_219
| ~ spl2_119
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f9033,f8752,f2670,f6420,f5305]) ).
thf(f9045,plain,
( ~ spl2_219
| ~ spl2_32
| ~ spl2_127
| ~ spl2_187
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f9036,f8752,f5337,f3015,f271,f6420]) ).
thf(f9054,plain,
( spl2_159
| ~ spl2_6
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f8117,f7566,f99,f4207]) ).
thf(f9064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f376,f62]) ).
thf(f9065,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_24
| ~ spl2_39
| ~ spl2_149 ),
inference(constrained_superposition,[],[f376,f7748]) ).
thf(f9069,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_24
| ~ spl2_39
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f9065]) ).
thf(f9070,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f9064]) ).
thf(f9071,plain,
( ~ spl2_239
| ~ spl2_24
| ~ spl2_39
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f9069,f4168,f375,f223,f6932]) ).
thf(f9072,plain,
( spl2_265
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f9070,f375,f7146]) ).
thf(f9079,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f1953]) ).
thf(f9094,plain,
( spl2_322
| spl2_25
| spl2_27
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f7733,f4168,f233,f227,f8759]) ).
thf(f9101,definition,
( spl2_337
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_337])],[avatar_definition]) ).
thf(f9102,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_337 ),
inference(avatar_component_clause,[],[f9101]) ).
thf(f9103,plain,
( spl2_337
| spl2_25
| spl2_27 ),
inference(avatar_split_clause,[],[f603,f233,f227,f9101]) ).
thf(f9108,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(constrained_superposition,[],[f344,f27]) ).
thf(f9109,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f9108]) ).
thf(f9110,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f9109,f48]) ).
thf(f9111,plain,
( spl2_77
| spl2_25 ),
inference(avatar_split_clause,[],[f9110,f227,f1953]) ).
thf(f9122,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_10
| ~ spl2_159 ),
inference(constrained_superposition,[],[f118,f4208]) ).
thf(f9128,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_10
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f9122]) ).
thf(f9132,plain,
( spl2_322
| ~ spl2_10
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f9128,f4207,f117,f8759]) ).
thf(f9158,definition,
( spl2_339
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_339])],[avatar_definition]) ).
thf(f9159,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_339 ),
inference(avatar_component_clause,[],[f9158]) ).
thf(f9161,definition,
( spl2_340
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_340])],[avatar_definition]) ).
thf(f9162,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_340 ),
inference(avatar_component_clause,[],[f9161]) ).
thf(f9189,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5431,f134]) ).
thf(f9196,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f9189]) ).
thf(f9205,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_185
| ~ spl2_274 ),
inference(constrained_superposition,[],[f7454,f5330]) ).
thf(f9210,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_185
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f9205]) ).
thf(f9215,plain,
( ~ spl2_17
| ~ spl2_185
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f9210,f7453,f5329,f179]) ).
thf(f9258,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5431,f6530]) ).
thf(f9259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f604,f6530]) ).
thf(f9260,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f57,f6530]) ).
thf(f9262,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f9259]) ).
thf(f9263,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f9258]) ).
thf(f9264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f9260]) ).
thf(f9267,definition,
( spl2_343
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_343])],[avatar_definition]) ).
thf(f9268,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_343 ),
inference(avatar_component_clause,[],[f9267]) ).
thf(f9272,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7052,f6530]) ).
thf(f9276,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_231
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f9272]) ).
thf(f9285,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_278 ),
inference(constrained_superposition,[],[f7473,f5264]) ).
thf(f9294,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f9285]) ).
thf(f9297,plain,
( $false
| ~ spl2_102
| ~ spl2_174
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f9294,f2534]) ).
thf(f9298,plain,
( ~ spl2_102
| ~ spl2_174
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f9297]) ).
thf(f9299,plain,
( ~ spl2_211
| ~ spl2_231
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f9276,f7051,f6529,f6033]) ).
thf(f9301,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_155 ),
inference(constrained_superposition,[],[f8197,f51]) ).
thf(f9304,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_155 ),
inference(trivial_inequality_removal,[],[f9301]) ).
thf(f9306,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_118
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f9304,f5205]) ).
thf(f9341,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_211 ),
inference(constrained_superposition,[],[f234,f6422]) ).
thf(f9350,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f9341]) ).
thf(f9354,plain,
( $false
| ~ spl2_27
| ~ spl2_205
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f9350,f5949]) ).
thf(f9355,plain,
( ~ spl2_27
| ~ spl2_205
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f9354]) ).
thf(f9371,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_42
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f556,f9306]) ).
thf(f9380,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_42
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f9371]) ).
thf(f9383,plain,
( $false
| ~ spl2_24
| ~ spl2_42
| spl2_118
| ~ spl2_149
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f9380,f7748]) ).
thf(f9384,plain,
( ~ spl2_24
| ~ spl2_42
| spl2_118
| ~ spl2_149
| spl2_155 ),
inference(avatar_contradiction_clause,[],[f9383]) ).
thf(f9385,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_155 ),
inference(constrained_superposition,[],[f234,f4190]) ).
thf(f9392,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f9385]) ).
thf(f9415,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_185
| ~ spl2_278 ),
inference(constrained_superposition,[],[f7473,f5330]) ).
thf(f9418,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_185
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f9415]) ).
thf(f9428,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_297 ),
inference(constrained_superposition,[],[f7738,f5323]) ).
thf(f9436,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f9428]) ).
thf(f9486,definition,
( spl2_345
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
thf(f9487,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f9486]) ).
thf(f9489,definition,
( spl2_346
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).
thf(f9490,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_346 ),
inference(avatar_component_clause,[],[f9489]) ).
thf(f9493,definition,
( spl2_347
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f9494,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f9493]) ).
thf(f9500,definition,
( spl2_349
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_349])],[avatar_definition]) ).
thf(f9501,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_349 ),
inference(avatar_component_clause,[],[f9500]) ).
thf(f9504,definition,
( spl2_350
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_350])],[avatar_definition]) ).
thf(f9505,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_350 ),
inference(avatar_component_clause,[],[f9504]) ).
thf(f9511,definition,
( spl2_352
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
thf(f9512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f9511]) ).
thf(f9514,definition,
( spl2_353
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f9515,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f9514]) ).
thf(f9518,definition,
( spl2_354
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_354])],[avatar_definition]) ).
thf(f9519,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_354 ),
inference(avatar_component_clause,[],[f9518]) ).
thf(f9533,definition,
( spl2_358
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_358])],[avatar_definition]) ).
thf(f9534,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_358 ),
inference(avatar_component_clause,[],[f9533]) ).
thf(f9540,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7052,f5271]) ).
thf(f9545,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f9540]) ).
thf(f9549,definition,
( spl2_360
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_360])],[avatar_definition]) ).
thf(f9550,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_360 ),
inference(avatar_component_clause,[],[f9549]) ).
thf(f9552,definition,
( spl2_361
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f9553,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f9552]) ).
thf(f9556,definition,
( spl2_362
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).
thf(f9557,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_362 ),
inference(avatar_component_clause,[],[f9556]) ).
thf(f9559,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_176
| ~ spl2_251 ),
inference(constrained_superposition,[],[f9545,f51]) ).
thf(f9562,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_176
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f9559]) ).
thf(f9574,definition,
( spl2_366
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_366])],[avatar_definition]) ).
thf(f9575,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_366 ),
inference(avatar_component_clause,[],[f9574]) ).
thf(f9576,plain,
( spl2_180
| spl2_366
| ~ spl2_176
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f9562,f7051,f5270,f9574,f5308]) ).
thf(f9702,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_42
| ~ spl2_366 ),
inference(constrained_superposition,[],[f556,f9575]) ).
thf(f9704,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_252
| ~ spl2_366 ),
inference(constrained_superposition,[],[f7073,f9575]) ).
thf(f9718,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_252
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f9704]) ).
thf(f9719,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f9702]) ).
thf(f9734,definition,
( spl2_367
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f9735,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_367 ),
inference(avatar_component_clause,[],[f9734]) ).
thf(f9736,plain,
( ~ spl2_367
| ~ spl2_350
| ~ spl2_252
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f9718,f9574,f7072,f9504,f9734]) ).
thf(f9739,definition,
( spl2_368
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_368])],[avatar_definition]) ).
thf(f9740,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_368 ),
inference(avatar_component_clause,[],[f9739]) ).
thf(f9742,definition,
( spl2_369
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).
thf(f9743,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_369 ),
inference(avatar_component_clause,[],[f9742]) ).
thf(f9746,definition,
( spl2_370
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f9747,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_370 ),
inference(avatar_component_clause,[],[f9746]) ).
thf(f9756,plain,
( ~ spl2_368
| ~ spl2_42
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f9719,f9574,f555,f9739]) ).
thf(f9757,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| spl2_367 ),
inference(constrained_superposition,[],[f9735,f63]) ).
thf(f9759,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_367 ),
inference(trivial_inequality_removal,[],[f9757]) ).
thf(f9762,definition,
( spl2_372
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_372])],[avatar_definition]) ).
thf(f9763,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_372 ),
inference(avatar_component_clause,[],[f9762]) ).
thf(f9765,definition,
( spl2_373
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_373])],[avatar_definition]) ).
thf(f9766,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_373 ),
inference(avatar_component_clause,[],[f9765]) ).
thf(f9801,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_372 ),
inference(constrained_superposition,[],[f133,f9763]) ).
thf(f9805,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_372 ),
inference(constrained_superposition,[],[f152,f9763]) ).
thf(f9807,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_372 ),
inference(constrained_superposition,[],[f604,f9763]) ).
thf(f9811,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_372 ),
inference(constrained_superposition,[],[f1523,f9763]) ).
thf(f9813,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_372 ),
inference(constrained_superposition,[],[f2486,f9763]) ).
thf(f9817,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_372 ),
inference(constrained_superposition,[],[f2567,f9763]) ).
thf(f9851,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_71
| ~ spl2_372 ),
inference(constrained_superposition,[],[f1398,f9763]) ).
thf(f9866,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_372 ),
inference(duplicate_literal_removal,[],[f9805]) ).
thf(f9867,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_372 ),
inference(duplicate_literal_removal,[],[f9813]) ).
thf(f9871,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_111
| ~ spl2_372 ),
inference(duplicate_literal_removal,[],[f9817]) ).
thf(f9873,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_45
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9866,f619]) ).
thf(f9875,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| spl2_35
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9807,f326]) ).
thf(f9877,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9801,f619]) ).
thf(f9879,plain,
( spl2_158
| spl2_152
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f9867,f9762,f4178,f4202]) ).
thf(f9881,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_134
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9811,f3343]) ).
thf(f9886,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_114
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9871,f7275]) ).
thf(f9889,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_13
| ~ spl2_71
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9851,f1029]) ).
thf(f9891,plain,
( spl2_312
| spl2_45
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f9873,f9762,f618,f8417]) ).
thf(f9894,plain,
( spl2_21
| spl2_124
| spl2_35
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f9875,f9762,f325,f2879,f198]) ).
thf(f9897,plain,
( $false
| spl2_35
| spl2_45
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9877,f326]) ).
thf(f9898,plain,
( spl2_35
| spl2_45
| ~ spl2_372 ),
inference(avatar_contradiction_clause,[],[f9897]) ).
thf(f9900,plain,
( spl2_152
| spl2_134
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f9881,f9762,f3342,f4178]) ).
thf(f9904,plain,
( spl2_303
| spl2_152
| ~ spl2_111
| ~ spl2_114
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f9886,f9762,f2577,f2566,f4178,f8047]) ).
thf(f9905,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| spl2_13
| ~ spl2_71
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9889,f615]) ).
thf(f9907,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_12
| spl2_13
| ~ spl2_71
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9905,f48]) ).
thf(f9910,plain,
( $false
| spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f9907,f619]) ).
thf(f9911,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_372 ),
inference(avatar_contradiction_clause,[],[f9910]) ).
thf(f9912,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_368 ),
inference(constrained_superposition,[],[f9740,f62]) ).
thf(f9913,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_368 ),
inference(constrained_superposition,[],[f9740,f27]) ).
thf(f9914,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_368 ),
inference(trivial_inequality_removal,[],[f9912]) ).
thf(f9915,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_368 ),
inference(trivial_inequality_removal,[],[f9913]) ).
thf(f9916,plain,
( spl2_349
| spl2_368 ),
inference(avatar_split_clause,[],[f9914,f9739,f9500]) ).
thf(f9917,plain,
( spl2_372
| spl2_349
| spl2_368 ),
inference(avatar_split_clause,[],[f9915,f9739,f9500,f9762]) ).
thf(f9922,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(avatar_component_clause,[],[f9533]) ).
thf(f9924,definition,
( spl2_374
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_374])],[avatar_definition]) ).
thf(f9925,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_374 ),
inference(avatar_component_clause,[],[f9924]) ).
thf(f9931,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_49
| spl2_219 ),
inference(constrained_superposition,[],[f6421,f784]) ).
thf(f9932,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_49
| spl2_368 ),
inference(constrained_superposition,[],[f9740,f784]) ).
thf(f9933,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_49
| spl2_102 ),
inference(constrained_superposition,[],[f2572,f784]) ).
thf(f9947,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_49
| spl2_102 ),
inference(trivial_inequality_removal,[],[f9933]) ).
thf(f9958,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_49
| spl2_219 ),
inference(trivial_inequality_removal,[],[f9931]) ).
thf(f9959,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_49
| spl2_368 ),
inference(trivial_inequality_removal,[],[f9932]) ).
thf(f9964,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_49
| spl2_102 ),
inference(forward_subsumption_resolution,[],[f9947,f48]) ).
thf(f9969,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_49
| spl2_219 ),
inference(forward_subsumption_resolution,[],[f9958,f48]) ).
thf(f9970,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_49
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f9959,f48]) ).
thf(f9975,plain,
( spl2_28
| ~ spl2_49
| spl2_102 ),
inference(avatar_split_clause,[],[f9964,f2533,f783,f242]) ).
thf(f9976,plain,
( spl2_184
| ~ spl2_49
| spl2_219 ),
inference(avatar_split_clause,[],[f9969,f6420,f783,f5325]) ).
thf(f9977,plain,
( spl2_180
| ~ spl2_49
| spl2_368 ),
inference(avatar_split_clause,[],[f9970,f9739,f783,f5308]) ).
thf(f9978,plain,
( spl2_373
| spl2_367 ),
inference(avatar_split_clause,[],[f9759,f9734,f9765]) ).
thf(f9982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_373 ),
inference(constrained_superposition,[],[f57,f9766]) ).
thf(f9984,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f9982]) ).
thf(f9989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_4
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f9984,f93]) ).
thf(f9992,definition,
( spl2_376
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_376])],[avatar_definition]) ).
thf(f9993,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_376 ),
inference(avatar_component_clause,[],[f9992]) ).
thf(f9994,plain,
( spl2_376
| spl2_9
| spl2_4
| ~ spl2_373 ),
inference(avatar_split_clause,[],[f9989,f9765,f92,f114,f9992]) ).
thf(f9996,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_350 ),
inference(constrained_superposition,[],[f9505,f50]) ).
thf(f9998,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| spl2_350 ),
inference(trivial_inequality_removal,[],[f9996]) ).
thf(f10000,plain,
( spl2_353
| spl2_350 ),
inference(avatar_split_clause,[],[f9998,f9504,f9514]) ).
thf(f10002,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_117
| ~ spl2_353 ),
inference(constrained_superposition,[],[f3134,f9515]) ).
thf(f10003,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_353 ),
inference(constrained_superposition,[],[f399,f9515]) ).
thf(f10006,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f10003]) ).
thf(f10007,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_117
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f10002]) ).
thf(f10010,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f10006,f48]) ).
thf(f10012,definition,
( spl2_377
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_377])],[avatar_definition]) ).
thf(f10013,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_377 ),
inference(avatar_component_clause,[],[f10012]) ).
thf(f10014,plain,
( spl2_377
| spl2_186
| ~ spl2_117
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f10007,f9514,f2618,f5334,f10012]) ).
thf(f10016,definition,
( spl2_378
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_378])],[avatar_definition]) ).
thf(f10017,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_378 ),
inference(avatar_component_clause,[],[f10016]) ).
thf(f10023,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_353 ),
inference(constrained_superposition,[],[f152,f10010]) ).
thf(f10049,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f10023]) ).
thf(f10064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_32
| ~ spl2_176
| ~ spl2_251
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f10049,f9545]) ).
thf(f10066,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_13
| ~ spl2_32
| ~ spl2_176
| ~ spl2_251
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f10064,f1029]) ).
thf(f10067,plain,
( spl2_369
| spl2_13
| ~ spl2_32
| ~ spl2_176
| ~ spl2_251
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f10066,f9514,f7051,f5270,f271,f165,f9742]) ).
thf(f10070,plain,
( ( $true != $true )
| ~ spl2_349
| ~ spl2_376 ),
inference(constrained_superposition,[],[f9993,f9501]) ).
thf(f10072,plain,
( $false
| ~ spl2_349
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f10070]) ).
thf(f10073,plain,
( ~ spl2_349
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f10072]) ).
thf(f10080,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_347 ),
inference(constrained_superposition,[],[f4262,f9494]) ).
thf(f10084,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f10080]) ).
thf(f10087,definition,
( spl2_382
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_382])],[avatar_definition]) ).
thf(f10088,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_382 ),
inference(avatar_component_clause,[],[f10087]) ).
thf(f10089,plain,
( spl2_186
| spl2_382
| ~ spl2_116
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f10084,f9493,f2614,f10087,f5334]) ).
thf(f10107,plain,
( $false
| ~ spl2_354
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f9519,f9993]) ).
thf(f10108,plain,
( ~ spl2_354
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f10107]) ).
thf(f10152,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_128
| ~ spl2_382 ),
inference(constrained_superposition,[],[f3021,f10088]) ).
thf(f10154,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f125,f10088]) ).
thf(f10169,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f10154]) ).
thf(f10175,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_128
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f10152]) ).
thf(f10183,plain,
( spl2_369
| spl2_97
| ~ spl2_368
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f10169,f10087,f9739,f2516,f9742]) ).
thf(f10184,plain,
( ~ spl2_368
| ~ spl2_128
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f10175,f10087,f3020,f9739]) ).
thf(f10191,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_366 ),
inference(avatar_component_clause,[],[f9574]) ).
thf(f10234,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_27
| ~ spl2_155 ),
inference(constrained_superposition,[],[f9392,f49]) ).
thf(f10236,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_27
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f10234]) ).
thf(f10242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_132
| ~ spl2_183 ),
inference(constrained_superposition,[],[f3112,f5323]) ).
thf(f10243,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_106
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3112,f2548]) ).
thf(f10244,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_107
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3112,f2552]) ).
thf(f10245,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_106
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f10243]) ).
thf(f10246,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_132
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f10242]) ).
thf(f10249,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_107
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f10244]) ).
thf(f10250,plain,
( spl2_26
| ~ spl2_106
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f10245,f3111,f2547,f230]) ).
thf(f10251,plain,
( spl2_322
| ~ spl2_132
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f10246,f5322,f3111,f8759]) ).
thf(f10252,plain,
( spl2_29
| ~ spl2_107
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f10249,f3111,f2551,f256]) ).
thf(f10257,definition,
( spl2_386
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).
thf(f10258,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_386 ),
inference(avatar_component_clause,[],[f10257]) ).
thf(f10268,definition,
( spl2_387
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_387])],[avatar_definition]) ).
thf(f10269,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_387 ),
inference(avatar_component_clause,[],[f10268]) ).
thf(f10272,definition,
( spl2_388
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_388])],[avatar_definition]) ).
thf(f10273,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_388 ),
inference(avatar_component_clause,[],[f10272]) ).
thf(f10275,plain,
( spl2_107
| ~ spl2_212
| ~ spl2_71
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f6840,f3338,f1384,f6042,f2551]) ).
thf(f10278,definition,
( spl2_389
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_389])],[avatar_definition]) ).
thf(f10279,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_389 ),
inference(avatar_component_clause,[],[f10278]) ).
thf(f10281,plain,
( ~ spl2_120
| ~ spl2_183
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f9436,f7737,f5322,f2674]) ).
thf(f10286,definition,
( spl2_390
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_390])],[avatar_definition]) ).
thf(f10287,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_390 ),
inference(avatar_component_clause,[],[f10286]) ).
thf(f10301,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_212 ),
inference(constrained_superposition,[],[f6043,f63]) ).
thf(f10303,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_212 ),
inference(trivial_inequality_removal,[],[f10301]) ).
thf(f10305,plain,
( spl2_97
| spl2_212 ),
inference(avatar_split_clause,[],[f10303,f6042,f2516]) ).
thf(f10309,definition,
( spl2_391
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_391])],[avatar_definition]) ).
thf(f10310,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_391 ),
inference(avatar_component_clause,[],[f10309]) ).
thf(f10313,definition,
( spl2_392
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_392])],[avatar_definition]) ).
thf(f10314,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_392 ),
inference(avatar_component_clause,[],[f10313]) ).
thf(f10329,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7052,f4163]) ).
thf(f10335,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f10329]) ).
thf(f10338,plain,
( $false
| ~ spl2_77
| ~ spl2_147
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f10335,f9079]) ).
thf(f10339,plain,
( ~ spl2_77
| ~ spl2_147
| ~ spl2_251 ),
inference(avatar_contradiction_clause,[],[f10338]) ).
thf(f10342,definition,
( spl2_393
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f10343,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f10342]) ).
thf(f10344,plain,
( spl2_154
| spl2_153
| spl2_393
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f9264,f6529,f10342,f4182,f4185]) ).
thf(f10346,plain,
( spl2_153
| ~ spl2_27
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f10236,f4189,f233,f4182]) ).
thf(f10347,plain,
( $false
| ~ spl2_27
| ~ spl2_155
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f4193,f9392]) ).
thf(f10348,plain,
( ~ spl2_27
| ~ spl2_155
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f10347]) ).
thf(f10349,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_13
| ~ spl2_127
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f6835,f1029]) ).
thf(f10350,plain,
( ~ spl2_18
| ~ spl2_185
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f9418,f7472,f5329,f182]) ).
thf(f10351,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_105
| ~ spl2_133
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f8901,f6237]) ).
thf(f10352,plain,
( ~ spl2_18
| spl2_13
| ~ spl2_127
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f10349,f3338,f3015,f165,f182]) ).
thf(f10353,plain,
( ~ spl2_18
| spl2_194
| ~ spl2_105
| ~ spl2_133
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f10351,f5937,f3338,f2544,f5401,f182]) ).
thf(f10354,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_77
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f9196,f9079]) ).
thf(f10356,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_149 ),
inference(avatar_component_clause,[],[f4168]) ).
thf(f10357,plain,
( ~ spl2_149
| spl2_182
| spl2_185
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f9262,f6529,f5329,f5316,f4168]) ).
thf(f10358,plain,
( spl2_185
| ~ spl2_77
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f10354,f5430,f1953,f5329]) ).
thf(f10441,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_32
| ~ spl2_147 ),
inference(constrained_superposition,[],[f399,f4163]) ).
thf(f10445,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_32
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f10441]) ).
thf(f10448,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_32
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f10445,f48]) ).
thf(f10449,plain,
( $false
| ~ spl2_147
| ~ spl2_199
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f8193,f4163]) ).
thf(f10450,plain,
( ~ spl2_147
| ~ spl2_199
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f10449]) ).
thf(f10452,definition,
( spl2_395
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_395])],[avatar_definition]) ).
thf(f10453,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_395 ),
inference(avatar_component_clause,[],[f10452]) ).
thf(f10476,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_147 ),
inference(constrained_superposition,[],[f2486,f10448]) ).
thf(f10490,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f10476]) ).
thf(f10518,plain,
( $false
| ~ spl2_156
| ~ spl2_198
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f9263,f4193]) ).
thf(f10519,plain,
( ~ spl2_156
| ~ spl2_198
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f10518]) ).
thf(f10522,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f199,f134]) ).
thf(f10524,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_12
| ~ spl2_21 ),
inference(constrained_superposition,[],[f199,f162]) ).
thf(f10528,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_12
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f10524]) ).
thf(f10529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f10522]) ).
thf(f10531,plain,
( spl2_29
| ~ spl2_12
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f10528,f198,f161,f256]) ).
thf(f10532,plain,
( spl2_337
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f10529,f198,f9101]) ).
thf(f10544,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f787,f133]) ).
thf(f10545,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_50
| ~ spl2_202 ),
inference(constrained_superposition,[],[f787,f5938]) ).
thf(f10546,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_50
| ~ spl2_114 ),
inference(constrained_superposition,[],[f787,f7275]) ).
thf(f10547,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_13
| ~ spl2_50 ),
inference(constrained_superposition,[],[f787,f1029]) ).
thf(f10551,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_50
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f10545]) ).
thf(f10552,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f10544]) ).
thf(f10553,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_13
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f10547]) ).
thf(f10555,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_50
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f10546]) ).
thf(f10557,plain,
( ~ spl2_273
| ~ spl2_50
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f10551,f5937,f786,f7450]) ).
thf(f10558,plain,
( spl2_144
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f10552,f786,f3787]) ).
thf(f10559,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f10553,f786,f165,f99]) ).
thf(f10560,plain,
( ~ spl2_98
| ~ spl2_50
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f10555,f2577,f786,f2520]) ).
thf(f10561,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_155 ),
inference(constrained_superposition,[],[f8197,f51]) ).
thf(f10563,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_155 ),
inference(trivial_inequality_removal,[],[f10561]) ).
thf(f10565,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_118
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f10563,f5205]) ).
thf(f10569,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_250
| ~ spl2_306 ),
inference(constrained_superposition,[],[f7028,f8206]) ).
thf(f10586,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_250
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f10569]) ).
thf(f10601,plain,
( $false
| ~ spl2_18
| ~ spl2_250
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f10586,f2850]) ).
thf(f10602,plain,
( ~ spl2_18
| ~ spl2_250
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f10601]) ).
thf(f10606,plain,
( ( $true != $true )
| ~ spl2_106
| ~ spl2_139 ),
inference(constrained_superposition,[],[f3494,f2548]) ).
thf(f10609,plain,
( $false
| ~ spl2_106
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f10606]) ).
thf(f10610,plain,
( ~ spl2_106
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f10609]) ).
thf(f10612,plain,
( spl2_246
| spl2_237
| ~ spl2_32
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f10490,f4162,f271,f6924,f7012]) ).
thf(f10614,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_149 ),
inference(constrained_superposition,[],[f10356,f134]) ).
thf(f10621,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_149 ),
inference(trivial_inequality_removal,[],[f10614]) ).
thf(f10624,plain,
( spl2_306
| spl2_149 ),
inference(avatar_split_clause,[],[f10621,f4168,f8205]) ).
thf(f10626,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_30 ),
inference(constrained_superposition,[],[f261,f173]) ).
thf(f10631,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_15
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f10626]) ).
thf(f10675,definition,
( spl2_396
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_396])],[avatar_definition]) ).
thf(f10676,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_396 ),
inference(avatar_component_clause,[],[f10675]) ).
thf(f10679,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f2567,f10565]) ).
thf(f10680,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_42
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f556,f10565]) ).
thf(f10705,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_111
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f10679]) ).
thf(f10706,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_42
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f10680]) ).
thf(f10708,plain,
( spl2_241
| spl2_237
| ~ spl2_111
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f10705,f4189,f2666,f2566,f6924,f6939]) ).
thf(f10709,plain,
( ~ spl2_217
| ~ spl2_42
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f10706,f4189,f2666,f555,f6407]) ).
thf(f10710,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_217 ),
inference(constrained_superposition,[],[f6408,f62]) ).
thf(f10712,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_217 ),
inference(trivial_inequality_removal,[],[f10710]) ).
thf(f10714,plain,
( spl2_157
| spl2_217 ),
inference(avatar_split_clause,[],[f10712,f6407,f4195]) ).
thf(f10736,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f125,f5330]) ).
thf(f10750,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f10736]) ).
thf(f10833,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_154
| ~ spl2_225 ),
inference(constrained_superposition,[],[f4186,f6508]) ).
thf(f10843,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_154
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f10833]) ).
thf(f10844,plain,
( $false
| ~ spl2_154
| ~ spl2_205
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f10843,f5949]) ).
thf(f10845,plain,
( ~ spl2_154
| ~ spl2_205
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f10844]) ).
thf(f10848,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_157
| ~ spl2_268 ),
inference(constrained_superposition,[],[f7224,f4196]) ).
thf(f10849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_147
| ~ spl2_268 ),
inference(constrained_superposition,[],[f7224,f4163]) ).
thf(f10851,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_147
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f10849]) ).
thf(f10852,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_157
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f10848]) ).
thf(f10854,plain,
( spl2_29
| ~ spl2_147
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f10851,f7223,f4162,f256]) ).
thf(f10855,plain,
( spl2_26
| ~ spl2_157
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f10852,f7223,f4195,f230]) ).
thf(f10877,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_366 ),
inference(constrained_superposition,[],[f10191,f64]) ).
thf(f10881,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_366 ),
inference(trivial_inequality_removal,[],[f10877]) ).
thf(f10885,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_366 ),
inference(forward_subsumption_resolution,[],[f10881,f48]) ).
thf(f10887,plain,
( $false
| spl2_366
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f10885,f9993]) ).
thf(f10888,plain,
( spl2_366
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f10887]) ).
thf(f10892,plain,
( spl2_345
| spl2_366 ),
inference(avatar_split_clause,[],[f10885,f9574,f9486]) ).
thf(f10894,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_345 ),
inference(constrained_superposition,[],[f234,f9487]) ).
thf(f10903,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f10894]) ).
thf(f10906,definition,
( spl2_397
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_397])],[avatar_definition]) ).
thf(f10907,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_397 ),
inference(avatar_component_clause,[],[f10906]) ).
thf(f10909,plain,
( $false
| ~ spl2_27
| ~ spl2_345
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f10903,f9494]) ).
thf(f10910,plain,
( ~ spl2_27
| ~ spl2_345
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f10909]) ).
thf(f10977,definition,
( spl2_399
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_399])],[avatar_definition]) ).
thf(f10978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_399 ),
inference(avatar_component_clause,[],[f10977]) ).
thf(f11045,definition,
( spl2_400
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_400])],[avatar_definition]) ).
thf(f11046,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_400 ),
inference(avatar_component_clause,[],[f11045]) ).
thf(f11057,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_65
| ~ spl2_202 ),
inference(constrained_superposition,[],[f1192,f5938]) ).
thf(f11060,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_65
| ~ spl2_114 ),
inference(constrained_superposition,[],[f1192,f7275]) ).
thf(f11062,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f1192,f63]) ).
thf(f11067,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f11062]) ).
thf(f11069,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_65
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f11060]) ).
thf(f11070,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_65
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f11057]) ).
thf(f11075,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_15
| ~ spl2_30
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f11067,f10631]) ).
thf(f11077,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_65
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f11069,f48]) ).
thf(f11078,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_65
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f11070,f48]) ).
thf(f11083,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| spl2_13
| ~ spl2_15
| ~ spl2_30
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f11075,f1016]) ).
thf(f11084,plain,
( spl2_107
| ~ spl2_65
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f11077,f2577,f1191,f2551]) ).
thf(f11085,plain,
( spl2_187
| ~ spl2_65
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f11078,f5937,f1191,f5337]) ).
thf(f11087,plain,
( $false
| spl2_13
| ~ spl2_15
| ~ spl2_30
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f11083,f48]) ).
thf(f11088,plain,
( spl2_13
| ~ spl2_15
| ~ spl2_30
| ~ spl2_65 ),
inference(avatar_contradiction_clause,[],[f11087]) ).
thf(f11109,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_306
| ~ spl2_395 ),
inference(constrained_superposition,[],[f10453,f8206]) ).
thf(f11119,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_306
| ~ spl2_395 ),
inference(trivial_inequality_removal,[],[f11109]) ).
thf(f11154,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7028,f5278]) ).
thf(f11169,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_178
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f11154]) ).
thf(f11182,plain,
( ~ spl2_368
| ~ spl2_178
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f11169,f7027,f5277,f9739]) ).
thf(f11198,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_154
| ~ spl2_177 ),
inference(constrained_superposition,[],[f4186,f5275]) ).
thf(f11200,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_177
| ~ spl2_360 ),
inference(constrained_superposition,[],[f9550,f5275]) ).
thf(f11203,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_154
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f11198]) ).
thf(f11204,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_177
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f11200]) ).
thf(f11208,plain,
( $false
| ~ spl2_154
| ~ spl2_177
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f11203,f9494]) ).
thf(f11209,plain,
( ~ spl2_154
| ~ spl2_177
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f11208]) ).
thf(f11210,plain,
( spl2_322
| ~ spl2_177
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f11204,f9549,f5274,f8759]) ).
thf(f11214,definition,
( spl2_403
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_403])],[avatar_definition]) ).
thf(f11215,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_403 ),
inference(avatar_component_clause,[],[f11214]) ).
thf(f11219,definition,
( spl2_404
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_404])],[avatar_definition]) ).
thf(f11220,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_404 ),
inference(avatar_component_clause,[],[f11219]) ).
thf(f11258,definition,
( spl2_405
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_405])],[avatar_definition]) ).
thf(f11259,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_405 ),
inference(avatar_component_clause,[],[f11258]) ).
thf(f11267,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_241 ),
inference(constrained_superposition,[],[f6940,f5278]) ).
thf(f11269,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_241
| ~ spl2_306 ),
inference(constrained_superposition,[],[f6940,f8206]) ).
thf(f11271,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_241
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f11269]) ).
thf(f11276,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f11267]) ).
thf(f11279,plain,
( $false
| ~ spl2_133
| ~ spl2_241
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f11271,f6237]) ).
thf(f11280,plain,
( ~ spl2_133
| ~ spl2_241
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f11279]) ).
thf(f11284,plain,
( $false
| ~ spl2_178
| ~ spl2_241
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f11276,f10088]) ).
thf(f11285,plain,
( ~ spl2_178
| ~ spl2_241
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f11284]) ).
thf(f11295,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109
| spl2_134 ),
inference(constrained_superposition,[],[f3343,f2559]) ).
thf(f11309,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_109
| spl2_120 ),
inference(constrained_superposition,[],[f5991,f2559]) ).
thf(f11311,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109
| ~ spl2_133 ),
inference(constrained_superposition,[],[f6237,f2559]) ).
thf(f11316,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_109
| ~ spl2_245 ),
inference(constrained_superposition,[],[f6968,f2559]) ).
thf(f11317,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_109
| spl2_112 ),
inference(constrained_superposition,[],[f7257,f2559]) ).
thf(f11318,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109
| ~ spl2_114 ),
inference(constrained_superposition,[],[f7275,f2559]) ).
thf(f11332,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f134,f2559]) ).
thf(f11342,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| ~ spl2_111 ),
inference(constrained_superposition,[],[f2567,f2559]) ).
thf(f11396,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_109
| ~ spl2_110 ),
inference(constrained_superposition,[],[f2563,f2559]) ).
thf(f11403,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f11342,f133]) ).
thf(f11407,plain,
( ~ spl2_45
| ~ spl2_109
| spl2_112 ),
inference(avatar_split_clause,[],[f11317,f2569,f2558,f618]) ).
thf(f11410,plain,
( spl2_117
| ~ spl2_109
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f11316,f6967,f2558,f2618]) ).
thf(f11414,plain,
( ~ spl2_45
| ~ spl2_109
| spl2_120 ),
inference(avatar_split_clause,[],[f11309,f2674,f2558,f618]) ).
thf(f11416,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_109
| ~ spl2_110
| spl2_211 ),
inference(forward_subsumption_resolution,[],[f11396,f6034]) ).
thf(f11423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| ~ spl2_111
| spl2_112 ),
inference(forward_subsumption_resolution,[],[f11403,f7257]) ).
thf(f11427,plain,
( spl2_274
| ~ spl2_273
| ~ spl2_109
| ~ spl2_110
| spl2_211 ),
inference(avatar_split_clause,[],[f11416,f6033,f2562,f2558,f7450,f7453]) ).
thf(f11429,plain,
( spl2_206
| ~ spl2_109
| ~ spl2_111
| spl2_112 ),
inference(avatar_split_clause,[],[f11423,f2569,f2566,f2558,f5974]) ).
thf(f11432,plain,
( spl2_35
| ~ spl2_109
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f11318,f2577,f2558,f325]) ).
thf(f11435,plain,
( ~ spl2_35
| ~ spl2_109
| spl2_134 ),
inference(avatar_split_clause,[],[f11295,f3342,f2558,f325]) ).
thf(f11436,plain,
( spl2_35
| ~ spl2_109
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f11311,f3338,f2558,f325]) ).
thf(f11438,plain,
( spl2_45
| spl2_35
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f11332,f2558,f325,f618]) ).
thf(f11461,definition,
( spl2_406
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).
thf(f11462,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_406 ),
inference(avatar_component_clause,[],[f11461]) ).
thf(f11470,plain,
( ~ spl2_217
| ~ spl2_239
| ~ spl2_306
| ~ spl2_395 ),
inference(avatar_split_clause,[],[f11119,f10452,f8205,f6932,f6407]) ).
thf(f11472,definition,
( spl2_407
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_407])],[avatar_definition]) ).
thf(f11473,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_407 ),
inference(avatar_component_clause,[],[f11472]) ).
thf(f11476,definition,
( spl2_408
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_408])],[avatar_definition]) ).
thf(f11477,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_408 ),
inference(avatar_component_clause,[],[f11476]) ).
thf(f11562,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_45 ),
inference(constrained_superposition,[],[f234,f8385]) ).
thf(f11565,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_45 ),
inference(constrained_superposition,[],[f261,f8385]) ).
thf(f11569,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_27
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f11562]) ).
thf(f11572,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_30
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f11565]) ).
thf(f11575,plain,
( $false
| ~ spl2_27
| ~ spl2_45
| ~ spl2_77 ),
inference(forward_subsumption_resolution,[],[f11569,f9079]) ).
thf(f11576,plain,
( ~ spl2_27
| ~ spl2_45
| ~ spl2_77 ),
inference(avatar_contradiction_clause,[],[f11575]) ).
thf(f11578,plain,
( $false
| ~ spl2_12
| ~ spl2_30
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f11572,f162]) ).
thf(f11579,plain,
( ~ spl2_12
| ~ spl2_30
| ~ spl2_45 ),
inference(avatar_contradiction_clause,[],[f11578]) ).
thf(f11624,plain,
( $false
| ~ spl2_26
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f4208,f231]) ).
thf(f11625,plain,
( ~ spl2_26
| ~ spl2_159 ),
inference(avatar_contradiction_clause,[],[f11624]) ).
thf(f11626,plain,
( $false
| ~ spl2_26
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f2517,f231]) ).
thf(f11627,plain,
( ~ spl2_26
| ~ spl2_97 ),
inference(avatar_contradiction_clause,[],[f11626]) ).
thf(f11629,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_10
| ~ spl2_97 ),
inference(constrained_superposition,[],[f118,f2517]) ).
thf(f11636,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_10
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f11629]) ).
thf(f11639,plain,
( spl2_139
| ~ spl2_10
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f11636,f2516,f117,f3493]) ).
thf(f11682,plain,
( ( $true != $true )
| ~ spl2_135
| ~ spl2_322 ),
inference(constrained_superposition,[],[f8760,f3346]) ).
thf(f11687,plain,
( $false
| ~ spl2_135
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f11682]) ).
thf(f11688,plain,
( ~ spl2_135
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f11687]) ).
thf(f11690,plain,
( $false
| ~ spl2_139
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f5323,f3494]) ).
thf(f11691,plain,
( ~ spl2_139
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f11690]) ).
thf(f11731,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_124 ),
inference(constrained_superposition,[],[f2880,f162]) ).
thf(f11734,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f11731]) ).
thf(f11740,plain,
( $false
| ~ spl2_12
| ~ spl2_77
| ~ spl2_124 ),
inference(forward_subsumption_resolution,[],[f11734,f9079]) ).
thf(f11741,plain,
( ~ spl2_12
| ~ spl2_77
| ~ spl2_124 ),
inference(avatar_contradiction_clause,[],[f11740]) ).
thf(f11776,definition,
( spl2_412
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_412])],[avatar_definition]) ).
thf(f11777,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_412 ),
inference(avatar_component_clause,[],[f11776]) ).
thf(f11788,definition,
( spl2_415
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_415])],[avatar_definition]) ).
thf(f11789,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_415 ),
inference(avatar_component_clause,[],[f11788]) ).
thf(f11795,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f5975,f63]) ).
thf(f11797,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f11795]) ).
thf(f11801,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f11797,f1029]) ).
thf(f11803,plain,
( spl2_97
| spl2_13
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f11801,f5974,f165,f2516]) ).
thf(f11872,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_222
| ~ spl2_224 ),
inference(constrained_superposition,[],[f6446,f6505]) ).
thf(f11880,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_222
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f11872]) ).
thf(f11882,plain,
( $false
| ~ spl2_202
| ~ spl2_222
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f11880,f5938]) ).
thf(f11883,plain,
( ~ spl2_202
| ~ spl2_222
| ~ spl2_224 ),
inference(avatar_contradiction_clause,[],[f11882]) ).
thf(f11923,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_241 ),
inference(constrained_superposition,[],[f6940,f6505]) ).
thf(f11925,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_241 ),
inference(constrained_superposition,[],[f6940,f63]) ).
thf(f11928,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f11925]) ).
thf(f11929,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f11923]) ).
thf(f11932,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_224
| ~ spl2_241 ),
inference(constrained_superposition,[],[f11929,f1523]) ).
thf(f11939,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_224
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f11932]) ).
thf(f11942,definition,
( spl2_417
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_417])],[avatar_definition]) ).
thf(f11943,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_417 ),
inference(avatar_component_clause,[],[f11942]) ).
thf(f11946,plain,
( spl2_194
| ~ spl2_224
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f11939,f6939,f6504,f5401]) ).
thf(f11960,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_223 ),
inference(constrained_superposition,[],[f6459,f63]) ).
thf(f11966,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f11960]) ).
thf(f11971,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_13
| ~ spl2_223 ),
inference(forward_subsumption_resolution,[],[f11966,f1029]) ).
thf(f11974,plain,
( spl2_196
| spl2_13
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f11971,f6458,f165,f5409]) ).
thf(f12003,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_175
| ~ spl2_369 ),
inference(constrained_superposition,[],[f9743,f5268]) ).
thf(f12008,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_175
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f12003]) ).
thf(f12012,plain,
( ~ spl2_217
| ~ spl2_175
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f12008,f9742,f5267,f6407]) ).
thf(f12013,plain,
( $false
| ~ spl2_176
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f5271,f8760]) ).
thf(f12014,plain,
( ~ spl2_176
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f12013]) ).
thf(f12015,plain,
( $false
| ~ spl2_157
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f4196,f8760]) ).
thf(f12016,plain,
( ~ spl2_157
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f12015]) ).
thf(f12023,definition,
( spl2_418
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_418])],[avatar_definition]) ).
thf(f12024,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_418 ),
inference(avatar_component_clause,[],[f12023]) ).
thf(f12027,plain,
( $false
| ~ spl2_231
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f6530,f8760]) ).
thf(f12028,plain,
( ~ spl2_231
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f12027]) ).
thf(f12030,definition,
( spl2_419
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_419])],[avatar_definition]) ).
thf(f12031,plain,
( ! [X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_419 ),
inference(avatar_component_clause,[],[f12030]) ).
thf(f12039,definition,
( spl2_421
<=> ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_421])],[avatar_definition]) ).
thf(f12040,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_421 ),
inference(avatar_component_clause,[],[f12039]) ).
thf(f12045,plain,
( spl2_42
| ~ spl2_18
| spl2_196
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f10750,f5329,f5409,f182,f555]) ).
thf(f12050,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_347 ),
inference(constrained_superposition,[],[f257,f9494]) ).
thf(f12051,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_205 ),
inference(constrained_superposition,[],[f257,f5949]) ).
thf(f12052,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_156 ),
inference(constrained_superposition,[],[f257,f4193]) ).
thf(f12053,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_77 ),
inference(constrained_superposition,[],[f257,f9079]) ).
thf(f12054,plain,
( $false
| ~ spl2_29
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f12050]) ).
thf(f12055,plain,
( ~ spl2_29
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f12054]) ).
thf(f12057,plain,
( $false
| ~ spl2_29
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f12052]) ).
thf(f12058,plain,
( ~ spl2_29
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f12057]) ).
thf(f12060,plain,
( $false
| ~ spl2_29
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f12053]) ).
thf(f12061,plain,
( ~ spl2_29
| ~ spl2_77 ),
inference(avatar_contradiction_clause,[],[f12060]) ).
thf(f12062,plain,
( $false
| ~ spl2_29
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f12051]) ).
thf(f12063,plain,
( ~ spl2_29
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f12062]) ).
thf(f12069,definition,
( spl2_422
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_422])],[avatar_definition]) ).
thf(f12070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_422 ),
inference(avatar_component_clause,[],[f12069]) ).
thf(f12113,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| ~ spl2_159 ),
inference(constrained_superposition,[],[f4208,f2559]) ).
thf(f12114,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_109
| spl2_118 ),
inference(constrained_superposition,[],[f5205,f2559]) ).
thf(f12115,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_109
| ~ spl2_183 ),
inference(constrained_superposition,[],[f5323,f2559]) ).
thf(f12118,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109
| ~ spl2_194 ),
inference(constrained_superposition,[],[f5402,f2559]) ).
thf(f12121,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_109
| spl2_219 ),
inference(constrained_superposition,[],[f6421,f2559]) ).
thf(f12133,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_109
| ~ spl2_386 ),
inference(constrained_superposition,[],[f10258,f2559]) ).
thf(f12139,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f152,f2559]) ).
thf(f12140,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_109 ),
inference(constrained_superposition,[],[f169,f2559]) ).
thf(f12146,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109
| ~ spl2_119 ),
inference(constrained_superposition,[],[f3189,f2559]) ).
thf(f12195,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_109 ),
inference(duplicate_literal_removal,[],[f12139]) ).
thf(f12198,plain,
( spl2_120
| ~ spl2_109
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f12115,f5322,f2558,f2674]) ).
thf(f12199,plain,
( ~ spl2_217
| ~ spl2_109
| spl2_219 ),
inference(avatar_split_clause,[],[f12121,f6420,f2558,f6407]) ).
thf(f12200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| spl2_45
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f12195,f619]) ).
thf(f12203,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_109
| spl2_112
| ~ spl2_119 ),
inference(forward_subsumption_resolution,[],[f12146,f7257]) ).
thf(f12204,plain,
( spl2_38
| ~ spl2_109
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f12133,f10257,f2558,f371]) ).
thf(f12210,plain,
( spl2_97
| ~ spl2_109
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f12113,f4207,f2558,f2516]) ).
thf(f12213,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_14
| spl2_45
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f12140,f619]) ).
thf(f12216,plain,
( $false
| ~ spl2_109
| spl2_155
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f12118,f8197]) ).
thf(f12217,plain,
( ~ spl2_109
| spl2_155
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f12216]) ).
thf(f12222,plain,
( spl2_312
| spl2_45
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f12200,f2558,f618,f8417]) ).
thf(f12223,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_109
| spl2_112
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f12203,f2670,f2569,f2558,f2533,f2509]) ).
thf(f12226,plain,
( spl2_42
| ~ spl2_18
| ~ spl2_14
| spl2_45
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f12213,f2558,f618,f168,f182,f555]) ).
thf(f12237,definition,
( spl2_425
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_425])],[avatar_definition]) ).
thf(f12238,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_425 ),
inference(avatar_component_clause,[],[f12237]) ).
thf(f12250,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13
| ~ spl2_109
| spl2_118 ),
inference(extensionality_resolution,[],[f1052,f12114]) ).
thf(f12255,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_109
| spl2_118 ),
inference(extensionality_resolution,[],[f64,f12114]) ).
thf(f12260,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_13
| ~ spl2_109
| spl2_118 ),
inference(forward_subsumption_resolution,[],[f12250,f62]) ).
thf(f12263,definition,
( spl2_426
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_426])],[avatar_definition]) ).
thf(f12264,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_426 ),
inference(avatar_component_clause,[],[f12263]) ).
thf(f12268,plain,
( spl2_192
| spl2_183
| ~ spl2_109
| spl2_118 ),
inference(avatar_split_clause,[],[f12255,f2666,f2558,f5322,f5393]) ).
thf(f12269,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13
| ~ spl2_109
| spl2_118 ),
inference(forward_subsumption_resolution,[],[f12260,f1029]) ).
thf(f12271,plain,
( spl2_15
| ~ spl2_35
| spl2_13
| ~ spl2_109
| spl2_118 ),
inference(avatar_split_clause,[],[f12269,f2666,f2558,f165,f325,f172]) ).
thf(f12273,plain,
( ~ spl2_212
| spl2_159
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f11928,f6939,f4207,f6042]) ).
thf(f12299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f125,f228]) ).
thf(f12302,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f59,f228]) ).
thf(f12303,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_25
| ~ spl2_419 ),
inference(constrained_superposition,[],[f12031,f228]) ).
thf(f12304,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f24,f228]) ).
thf(f12311,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f12302]) ).
thf(f12320,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_25
| ~ spl2_419 ),
inference(trivial_inequality_removal,[],[f12303]) ).
thf(f12321,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f12304]) ).
thf(f12322,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f12299]) ).
thf(f12326,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_13
| ~ spl2_25
| ~ spl2_419 ),
inference(forward_subsumption_resolution,[],[f12320,f1016]) ).
thf(f12329,plain,
( spl2_28
| spl2_13
| ~ spl2_25
| ~ spl2_419 ),
inference(avatar_split_clause,[],[f12326,f12030,f227,f165,f242]) ).
thf(f12337,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_109 ),
inference(extensionality_resolution,[],[f135,f3747]) ).
thf(f12338,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_109 ),
inference(extensionality_resolution,[],[f135,f3747]) ).
thf(f12340,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_109 ),
inference(extensionality_resolution,[],[f637,f3747]) ).
thf(f12341,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_13
| spl2_109 ),
inference(extensionality_resolution,[],[f1052,f3747]) ).
thf(f12342,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13
| spl2_109 ),
inference(extensionality_resolution,[],[f1052,f3747]) ).
thf(f12344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_109 ),
inference(extensionality_resolution,[],[f55,f3747]) ).
thf(f12345,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_109 ),
inference(extensionality_resolution,[],[f64,f3747]) ).
thf(f12346,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_109 ),
inference(extensionality_resolution,[],[f64,f3747]) ).
thf(f12348,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_109 ),
inference(extensionality_resolution,[],[f51,f3747]) ).
thf(f12351,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| spl2_109
| spl2_112 ),
inference(forward_subsumption_resolution,[],[f12341,f7257]) ).
thf(f12352,plain,
( spl2_225
| spl2_224
| spl2_109 ),
inference(avatar_split_clause,[],[f12345,f2558,f6504,f6507]) ).
thf(f12353,plain,
( spl2_231
| spl2_230
| spl2_109 ),
inference(avatar_split_clause,[],[f12346,f2558,f6526,f6529]) ).
thf(f12355,plain,
( spl2_229
| spl2_228
| spl2_109 ),
inference(avatar_split_clause,[],[f12337,f2558,f6519,f6522]) ).
thf(f12356,plain,
( spl2_192
| spl2_183
| spl2_109 ),
inference(avatar_split_clause,[],[f12348,f2558,f5322,f5393]) ).
thf(f12358,plain,
( spl2_120
| spl2_388
| spl2_109 ),
inference(avatar_split_clause,[],[f12344,f2558,f10272,f2674]) ).
thf(f12359,plain,
( spl2_226
| spl2_227
| spl2_109 ),
inference(avatar_split_clause,[],[f12338,f2558,f6514,f6511]) ).
thf(f12360,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f12342,f134]) ).
thf(f12361,plain,
( ~ spl2_133
| ~ spl2_35
| ~ spl2_212
| spl2_13
| spl2_109
| spl2_112 ),
inference(avatar_split_clause,[],[f12351,f2569,f2558,f165,f6042,f325,f3338]) ).
thf(f12364,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_13
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f12360,f1029]) ).
thf(f12366,plain,
( spl2_120
| ~ spl2_35
| spl2_13
| spl2_109 ),
inference(avatar_split_clause,[],[f12364,f2558,f165,f325,f2674]) ).
thf(f12423,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_347 ),
inference(constrained_superposition,[],[f264,f9494]) ).
thf(f12424,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_31
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f12423]) ).
thf(f12427,plain,
( spl2_376
| ~ spl2_31
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f12424,f9493,f263,f9992]) ).
thf(f12461,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153
| ~ spl2_241 ),
inference(constrained_superposition,[],[f6940,f4183]) ).
thf(f12485,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f12461]) ).
thf(f12493,plain,
( $false
| ~ spl2_95
| ~ spl2_153
| ~ spl2_241 ),
inference(forward_subsumption_resolution,[],[f12485,f2612]) ).
thf(f12494,plain,
( ~ spl2_95
| ~ spl2_153
| ~ spl2_241 ),
inference(avatar_contradiction_clause,[],[f12493]) ).
thf(f12508,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_4 ),
inference(constrained_superposition,[],[f93,f27]) ).
thf(f12509,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f12508]) ).
thf(f12510,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f12509,f48]) ).
thf(f12511,plain,
( spl2_421
| spl2_4 ),
inference(avatar_split_clause,[],[f12510,f92,f12039]) ).
thf(f12541,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_15 ),
inference(constrained_superposition,[],[f115,f173]) ).
thf(f12548,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f12541]) ).
thf(f12549,plain,
( $false
| ~ spl2_9
| ~ spl2_15
| ~ spl2_77 ),
inference(forward_subsumption_resolution,[],[f12548,f9079]) ).
thf(f12550,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_77 ),
inference(avatar_contradiction_clause,[],[f12549]) ).
thf(f12557,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f376,f27]) ).
thf(f12559,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_102 ),
inference(constrained_superposition,[],[f376,f2534]) ).
thf(f12560,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f12559]) ).
thf(f12561,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f12557]) ).
thf(f12563,plain,
( ~ spl2_98
| ~ spl2_39
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f12560,f2533,f375,f2520]) ).
thf(f12565,definition,
( spl2_427
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_427])],[avatar_definition]) ).
thf(f12566,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_427 ),
inference(avatar_component_clause,[],[f12565]) ).
thf(f12570,plain,
( spl2_12
| spl2_38
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f12311,f227,f371,f161]) ).
thf(f12622,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_103 ),
inference(constrained_superposition,[],[f264,f2538]) ).
thf(f12623,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_31
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f12622]) ).
thf(f12627,plain,
( spl2_139
| ~ spl2_31
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f12623,f2537,f263,f3493]) ).
thf(f12693,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_97 ),
inference(constrained_superposition,[],[f272,f2517]) ).
thf(f12695,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f12693]) ).
thf(f12718,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_386 ),
inference(constrained_superposition,[],[f10258,f6237]) ).
thf(f12723,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f59,f6237]) ).
thf(f12726,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f24,f6237]) ).
thf(f12740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f12726]) ).
thf(f12742,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f12723]) ).
thf(f12743,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f12718]) ).
thf(f12750,plain,
( spl2_388
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f12740,f3338,f10272]) ).
thf(f12751,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_97
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f12742,f12695]) ).
thf(f12752,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_133
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f12743,f228]) ).
thf(f12753,plain,
( spl2_389
| ~ spl2_32
| ~ spl2_97
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f12751,f3338,f2516,f271,f10278]) ).
thf(f12754,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_133
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f12752,f10257,f3338,f227,f179]) ).
thf(f12762,plain,
( $false
| ~ spl2_188
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f5380,f10343]) ).
thf(f12763,plain,
( ~ spl2_188
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f12762]) ).
thf(f12780,definition,
( spl2_428
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_428])],[avatar_definition]) ).
thf(f12781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_428 ),
inference(avatar_component_clause,[],[f12780]) ).
thf(f12829,definition,
( spl2_431
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_431])],[avatar_definition]) ).
thf(f12830,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_431 ),
inference(avatar_component_clause,[],[f12829]) ).
thf(f12834,definition,
( spl2_432
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_432])],[avatar_definition]) ).
thf(f12835,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_432 ),
inference(avatar_component_clause,[],[f12834]) ).
thf(f12838,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_358 ),
inference(constrained_superposition,[],[f9534,f27]) ).
thf(f12839,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_358 ),
inference(trivial_inequality_removal,[],[f12838]) ).
thf(f12844,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_220 ),
inference(constrained_superposition,[],[f6425,f63]) ).
thf(f12846,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_220 ),
inference(trivial_inequality_removal,[],[f12844]) ).
thf(f12848,plain,
( spl2_196
| spl2_220 ),
inference(avatar_split_clause,[],[f12846,f6424,f5409]) ).
thf(f12865,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f604,f4169]) ).
thf(f12868,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f12865]) ).
thf(f12874,plain,
( ( $true != $true )
| ~ spl2_353
| ~ spl2_376 ),
inference(constrained_superposition,[],[f9993,f9515]) ).
thf(f12876,plain,
( $false
| ~ spl2_353
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f12874]) ).
thf(f12877,plain,
( ~ spl2_353
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f12876]) ).
thf(f12883,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f224,f4169]) ).
thf(f12886,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f12883]) ).
thf(f12890,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f12886,f51]) ).
thf(f12893,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f12890]) ).
thf(f12895,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f12893,f48]) ).
thf(f12896,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f12561,f27]) ).
thf(f12899,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f12896]) ).
thf(f12900,plain,
( spl2_339
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f12899,f375,f9158]) ).
thf(f12903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f169,f12895]) ).
thf(f12920,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_14
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f12903]) ).
thf(f12931,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_24
| ~ spl2_149
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f12920,f8197]) ).
thf(f12933,plain,
( spl2_250
| ~ spl2_14
| ~ spl2_24
| ~ spl2_149
| spl2_155 ),
inference(avatar_split_clause,[],[f12931,f4189,f4168,f223,f168,f7027]) ).
thf(f12956,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_133 ),
inference(constrained_superposition,[],[f2688,f6237]) ).
thf(f12961,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_123
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f12956]) ).
thf(f12965,plain,
( ~ spl2_17
| ~ spl2_123
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f12961,f3338,f2687,f179]) ).
thf(f12966,plain,
( ~ spl2_45
| spl2_306
| spl2_268
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f12868,f4168,f7223,f8205,f618]) ).
thf(f12987,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f29,f8385]) ).
thf(f12990,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f12987]) ).
thf(f12992,plain,
( spl2_21
| spl2_124
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f12990,f618,f2879,f198]) ).
thf(f13000,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_10
| ~ spl2_196 ),
inference(constrained_superposition,[],[f118,f5410]) ).
thf(f13003,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_10
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f13000]) ).
thf(f13004,plain,
( spl2_393
| ~ spl2_10
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f13003,f5409,f117,f10342]) ).
thf(f13006,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_186
| ~ spl2_205 ),
inference(constrained_superposition,[],[f5949,f5335]) ).
thf(f13023,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f604,f5335]) ).
thf(f13024,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f1523,f5335]) ).
thf(f13025,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f2486,f5335]) ).
thf(f13027,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_186 ),
inference(constrained_superposition,[],[f2567,f5335]) ).
thf(f13073,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_186 ),
inference(duplicate_literal_removal,[],[f13025]) ).
thf(f13075,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_111
| ~ spl2_186 ),
inference(duplicate_literal_removal,[],[f13027]) ).
thf(f13082,plain,
( $false
| spl2_77
| ~ spl2_186
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f13006,f1954]) ).
thf(f13083,plain,
( spl2_77
| ~ spl2_186
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f13082]) ).
thf(f13084,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_35
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f13023,f326]) ).
thf(f13087,plain,
( spl2_152
| spl2_158
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f13073,f5334,f4202,f4178]) ).
thf(f13088,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f3342]) ).
thf(f13089,plain,
( spl2_134
| spl2_152
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f13024,f5334,f4178,f3342]) ).
thf(f13090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_114
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f13075,f7275]) ).
thf(f13091,plain,
( spl2_21
| spl2_124
| spl2_35
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f13084,f5334,f325,f2879,f198]) ).
thf(f13092,plain,
( spl2_303
| spl2_152
| ~ spl2_111
| ~ spl2_114
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f13090,f5334,f2577,f2566,f4178,f8047]) ).
thf(f13211,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_149 ),
inference(constrained_superposition,[],[f261,f4169]) ).
thf(f13212,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_30
| ~ spl2_120 ),
inference(constrained_superposition,[],[f261,f2675]) ).
thf(f13216,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_30
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f13211]) ).
thf(f13219,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_30
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f13212]) ).
thf(f13222,plain,
( $false
| ~ spl2_30
| ~ spl2_107
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f13219,f2552]) ).
thf(f13223,plain,
( ~ spl2_30
| ~ spl2_107
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f13222]) ).
thf(f13241,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_106 ),
inference(constrained_superposition,[],[f115,f2548]) ).
thf(f13249,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f13241]) ).
thf(f13256,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f152,f13088]) ).
thf(f13259,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f625,f13088]) ).
thf(f13262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f24,f13088]) ).
thf(f13266,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f671,f13088]) ).
thf(f13268,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_134 ),
inference(duplicate_literal_removal,[],[f13266]) ).
thf(f13269,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f13268]) ).
thf(f13270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_134 ),
inference(duplicate_literal_removal,[],[f13262]) ).
thf(f13271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f13270]) ).
thf(f13275,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f13259]) ).
thf(f13283,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_134 ),
inference(duplicate_literal_removal,[],[f13256]) ).
thf(f13284,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f13283]) ).
thf(f13286,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f13269,f27]) ).
thf(f13287,plain,
( spl2_158
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f13271,f3342,f4202]) ).
thf(f13290,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_106
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f13275,f13249]) ).
thf(f13292,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f13284,f133]) ).
thf(f13294,definition,
( spl2_433
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_433])],[avatar_definition]) ).
thf(f13295,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_433 ),
inference(avatar_component_clause,[],[f13294]) ).
thf(f13297,definition,
( spl2_434
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_434])],[avatar_definition]) ).
thf(f13298,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_434 ),
inference(avatar_component_clause,[],[f13297]) ).
thf(f13299,plain,
( spl2_433
| spl2_434
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f13286,f3342,f13297,f13294]) ).
thf(f13301,plain,
( ~ spl2_98
| spl2_123
| ~ spl2_9
| ~ spl2_106
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f13290,f3342,f2547,f114,f2687,f2520]) ).
thf(f13302,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_112
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f13292,f7257]) ).
thf(f13304,plain,
( spl2_303
| spl2_112
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f13302,f3342,f2569,f8047]) ).
thf(f13309,plain,
( ( $true != $true )
| ~ spl2_134
| ~ spl2_303 ),
inference(constrained_superposition,[],[f8048,f13088]) ).
thf(f13310,plain,
( ( $true != $true )
| ~ spl2_133
| ~ spl2_303 ),
inference(constrained_superposition,[],[f8048,f6237]) ).
thf(f13311,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_303 ),
inference(constrained_superposition,[],[f8048,f63]) ).
thf(f13313,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f13311]) ).
thf(f13316,plain,
( $false
| ~ spl2_133
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f13310]) ).
thf(f13317,plain,
( ~ spl2_133
| ~ spl2_303 ),
inference(avatar_contradiction_clause,[],[f13316]) ).
thf(f13318,plain,
( $false
| ~ spl2_134
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f13309]) ).
thf(f13319,plain,
( ~ spl2_134
| ~ spl2_303 ),
inference(avatar_contradiction_clause,[],[f13318]) ).
thf(f13324,plain,
( spl2_97
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f13313,f8047,f2516]) ).
thf(f13429,plain,
( $false
| ~ spl2_30
| ~ spl2_147
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f13216,f4163]) ).
thf(f13430,plain,
( ~ spl2_30
| ~ spl2_147
| ~ spl2_149 ),
inference(avatar_contradiction_clause,[],[f13429]) ).
thf(f13463,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f264,f49]) ).
thf(f13465,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_77 ),
inference(constrained_superposition,[],[f264,f9079]) ).
thf(f13466,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f13463]) ).
thf(f13467,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_31
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f13465]) ).
thf(f13470,plain,
( spl2_20
| ~ spl2_31
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f13467,f1953,f263,f193]) ).
thf(f13474,plain,
( ( $true != $true )
| ~ spl2_20
| ~ spl2_149 ),
inference(constrained_superposition,[],[f194,f4169]) ).
thf(f13475,plain,
( ( $true != $true )
| ~ spl2_15
| ~ spl2_20 ),
inference(constrained_superposition,[],[f194,f173]) ).
thf(f13476,plain,
( ( $true != $true )
| ~ spl2_12
| ~ spl2_20 ),
inference(constrained_superposition,[],[f194,f162]) ).
thf(f13478,plain,
( $false
| ~ spl2_15
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f13475]) ).
thf(f13479,plain,
( ~ spl2_15
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f13478]) ).
thf(f13480,plain,
( $false
| ~ spl2_12
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f13476]) ).
thf(f13481,plain,
( ~ spl2_12
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f13480]) ).
thf(f13482,plain,
( $false
| ~ spl2_20
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f13474]) ).
thf(f13483,plain,
( ~ spl2_20
| ~ spl2_149 ),
inference(avatar_contradiction_clause,[],[f13482]) ).
thf(f13526,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_31
| ~ spl2_147 ),
inference(constrained_superposition,[],[f13466,f4163]) ).
thf(f13536,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_31
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f13526]) ).
thf(f13577,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f224,f134]) ).
thf(f13578,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f224,f4169]) ).
thf(f13580,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| ~ spl2_24 ),
inference(constrained_superposition,[],[f224,f162]) ).
thf(f13583,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f13578]) ).
thf(f13585,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f13577]) ).
thf(f13586,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f13580]) ).
thf(f13596,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f13583,f51]) ).
thf(f13599,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f13596]) ).
thf(f13601,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f13599,f48]) ).
thf(f13602,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_24
| ~ spl2_96
| ~ spl2_149 ),
inference(constrained_superposition,[],[f2514,f13601]) ).
thf(f13615,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_96
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f13602]) ).
thf(f13628,plain,
( spl2_237
| spl2_250
| ~ spl2_24
| ~ spl2_96
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f13615,f4168,f2513,f223,f7027,f6924]) ).
thf(f13653,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_183 ),
inference(constrained_superposition,[],[f2619,f5323]) ).
thf(f13658,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f13653]) ).
thf(f13662,plain,
( $false
| ~ spl2_117
| ~ spl2_147
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f13658,f4163]) ).
thf(f13663,plain,
( ~ spl2_117
| ~ spl2_147
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f13662]) ).
thf(f13666,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_31
| ~ spl2_237 ),
inference(constrained_superposition,[],[f13466,f6925]) ).
thf(f13669,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_31
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13666]) ).
thf(f13675,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(constrained_superposition,[],[f224,f7631]) ).
thf(f13681,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f13675]) ).
thf(f13684,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_120
| ~ spl2_434 ),
inference(constrained_superposition,[],[f5991,f13298]) ).
thf(f13695,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_120
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f13684]) ).
thf(f13703,plain,
( $false
| spl2_109
| spl2_120
| ~ spl2_434 ),
inference(forward_subsumption_resolution,[],[f13695,f3747]) ).
thf(f13704,plain,
( spl2_109
| spl2_120
| ~ spl2_434 ),
inference(avatar_contradiction_clause,[],[f13703]) ).
thf(f13714,plain,
( $false
| ~ spl2_211
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f6422,f10343]) ).
thf(f13715,plain,
( ~ spl2_211
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f13714]) ).
thf(f13717,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(constrained_superposition,[],[f13681,f51]) ).
thf(f13720,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f13717]) ).
thf(f13722,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f13720,f48]) ).
thf(f13723,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_96
| ~ spl2_288 ),
inference(constrained_superposition,[],[f2514,f13722]) ).
thf(f13724,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_24
| ~ spl2_288 ),
inference(constrained_superposition,[],[f169,f13722]) ).
thf(f13726,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_39
| ~ spl2_288 ),
inference(constrained_superposition,[],[f376,f13722]) ).
thf(f13738,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_96
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f13723]) ).
thf(f13744,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_24
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f13724]) ).
thf(f13749,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_24
| ~ spl2_39
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f13726]) ).
thf(f13751,plain,
( spl2_278
| spl2_194
| ~ spl2_24
| ~ spl2_96
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f13738,f7630,f2513,f223,f5401,f7472]) ).
thf(f13754,plain,
( spl2_211
| spl2_278
| ~ spl2_14
| ~ spl2_24
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f13744,f7630,f223,f168,f7472,f6033]) ).
thf(f13757,plain,
( ~ spl2_273
| ~ spl2_24
| ~ spl2_39
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f13749,f7630,f375,f223,f7450]) ).
thf(f13799,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f5323]) ).
thf(f13802,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f13799]) ).
thf(f13807,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_232
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6549,f6925]) ).
thf(f13813,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_232
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13807]) ).
thf(f13817,plain,
( $false
| ~ spl2_159
| ~ spl2_232
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f13813,f4208]) ).
thf(f13818,plain,
( ~ spl2_159
| ~ spl2_232
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f13817]) ).
thf(f13819,plain,
( spl2_153
| ~ spl2_31
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f13536,f4162,f263,f4182]) ).
thf(f13820,plain,
( spl2_153
| ~ spl2_31
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f13669,f6924,f263,f4182]) ).
thf(f13838,plain,
( $false
| ~ spl2_157
| ~ spl2_183
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f13802,f4196]) ).
thf(f13839,plain,
( ~ spl2_157
| ~ spl2_183
| ~ spl2_208 ),
inference(avatar_contradiction_clause,[],[f13838]) ).
thf(f13898,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_232
| ~ spl2_237 ),
inference(constrained_superposition,[],[f13813,f51]) ).
thf(f13901,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_232
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13898]) ).
thf(f13903,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_232
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f13901,f48]) ).
thf(f13905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_232
| ~ spl2_237 ),
inference(constrained_superposition,[],[f152,f13903]) ).
thf(f13927,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_232
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13905]) ).
thf(f13933,definition,
( spl2_436
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_436])],[avatar_definition]) ).
thf(f13934,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_436 ),
inference(avatar_component_clause,[],[f13933]) ).
thf(f13937,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_155
| ~ spl2_232
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f13927,f8197]) ).
thf(f13938,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_13
| spl2_155
| ~ spl2_232
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f13937,f1029]) ).
thf(f13939,plain,
( spl2_250
| spl2_13
| spl2_155
| ~ spl2_232
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f13938,f6924,f6548,f4189,f165,f7027]) ).
thf(f13946,definition,
( spl2_437
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_437])],[avatar_definition]) ).
thf(f13947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_437 ),
inference(avatar_component_clause,[],[f13946]) ).
thf(f14121,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_202 ),
inference(constrained_superposition,[],[f2567,f5938]) ).
thf(f14135,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f14121]) ).
thf(f14148,plain,
( spl2_194
| spl2_328
| ~ spl2_111
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f14135,f5937,f2566,f8924,f5401]) ).
thf(f14158,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f5323]) ).
thf(f14165,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f14158]) ).
thf(f14166,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f14165,f51]) ).
thf(f14168,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f14166]) ).
thf(f14170,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f14168,f48]) ).
thf(f14173,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f169,f14170]) ).
thf(f14175,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f376,f14170]) ).
thf(f14177,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f625,f14170]) ).
thf(f14188,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f14177]) ).
thf(f14194,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f14175]) ).
thf(f14198,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f14173]) ).
thf(f14200,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_12
| ~ spl2_24
| ~ spl2_183
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f14188,f13586]) ).
thf(f14203,plain,
( ~ spl2_239
| ~ spl2_39
| ~ spl2_183
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f14194,f6019,f5322,f375,f6932]) ).
thf(f14206,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| spl2_155
| ~ spl2_183
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f14198,f8197]) ).
thf(f14208,plain,
( ~ spl2_239
| spl2_286
| ~ spl2_12
| ~ spl2_24
| ~ spl2_183
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f14200,f6019,f5322,f223,f161,f7566,f6932]) ).
thf(f14210,plain,
( spl2_250
| ~ spl2_14
| spl2_155
| ~ spl2_183
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f14206,f6019,f5322,f4189,f168,f7027]) ).
thf(f14240,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_114
| ~ spl2_426 ),
inference(constrained_superposition,[],[f12264,f7275]) ).
thf(f14251,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_114
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f14240]) ).
thf(f14256,plain,
( spl2_107
| ~ spl2_114
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f14251,f12263,f2577,f2551]) ).
thf(f14365,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_366 ),
inference(constrained_superposition,[],[f2567,f9575]) ).
thf(f14380,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_111
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f14365]) ).
thf(f14391,plain,
( spl2_370
| spl2_354
| ~ spl2_111
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f14380,f9574,f2566,f9518,f9746]) ).
thf(f14442,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_237
| ~ spl2_287 ),
inference(constrained_superposition,[],[f7589,f6925]) ).
thf(f14446,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_237
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f14442]) ).
thf(f14448,plain,
( $false
| ~ spl2_106
| ~ spl2_237
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f14446,f2548]) ).
thf(f14449,plain,
( ~ spl2_106
| ~ spl2_237
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f14448]) ).
thf(f14453,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_174
| ~ spl2_274 ),
inference(constrained_superposition,[],[f7454,f5264]) ).
thf(f14457,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_174
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f14453]) ).
thf(f14464,plain,
( ~ spl2_98
| ~ spl2_174
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f14457,f7453,f5263,f2520]) ).
thf(f14499,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_153
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7028,f4183]) ).
thf(f14502,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_153
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f14499]) ).
thf(f14506,plain,
( $false
| ~ spl2_4
| ~ spl2_153
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f14502,f195]) ).
thf(f14507,plain,
( ~ spl2_4
| ~ spl2_153
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f14506]) ).
thf(f14514,definition,
( spl2_440
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_440])],[avatar_definition]) ).
thf(f14515,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_440 ),
inference(avatar_component_clause,[],[f14514]) ).
thf(f14548,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_112 ),
inference(constrained_superposition,[],[f234,f2570]) ).
thf(f14551,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f2570]) ).
thf(f14554,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_112
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f14551]) ).
thf(f14556,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_27
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f14548]) ).
thf(f14560,plain,
( $false
| ~ spl2_15
| ~ spl2_112
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f14554,f173]) ).
thf(f14561,plain,
( ~ spl2_15
| ~ spl2_112
| ~ spl2_208 ),
inference(avatar_contradiction_clause,[],[f14560]) ).
thf(f14563,plain,
( $false
| ~ spl2_27
| ~ spl2_103
| ~ spl2_112 ),
inference(forward_subsumption_resolution,[],[f14556,f2538]) ).
thf(f14564,plain,
( ~ spl2_27
| ~ spl2_103
| ~ spl2_112 ),
inference(avatar_contradiction_clause,[],[f14563]) ).
thf(f14652,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_120 ),
inference(constrained_superposition,[],[f224,f2675]) ).
thf(f14656,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f14652]) ).
thf(f14660,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_120 ),
inference(constrained_superposition,[],[f14656,f51]) ).
thf(f14664,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f14660]) ).
thf(f14671,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_157
| ~ spl2_245 ),
inference(constrained_superposition,[],[f6968,f4196]) ).
thf(f14676,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_157
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f14671]) ).
thf(f14684,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_146 ),
inference(constrained_superposition,[],[f4160,f63]) ).
thf(f14687,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_146 ),
inference(trivial_inequality_removal,[],[f14684]) ).
thf(f14689,plain,
( spl2_159
| spl2_146 ),
inference(avatar_split_clause,[],[f14687,f4159,f4207]) ).
thf(f14690,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f14664,f48]) ).
thf(f14691,plain,
( $false
| ~ spl2_24
| ~ spl2_106
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f2548,f14656]) ).
thf(f14692,plain,
( ~ spl2_24
| ~ spl2_106
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f14691]) ).
thf(f14699,plain,
( spl2_102
| ~ spl2_24
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f14690,f2674,f223,f2533]) ).
thf(f14701,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f14704,plain,
( ~ spl2_1
| ~ spl2_157
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f14676,f6967,f4195,f75]) ).
thf(f14736,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_10
| ~ spl2_373 ),
inference(constrained_superposition,[],[f118,f9766]) ).
thf(f14737,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_10
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f14736]) ).
thf(f14740,plain,
( spl2_376
| ~ spl2_10
| ~ spl2_373 ),
inference(avatar_split_clause,[],[f14737,f9765,f117,f9992]) ).
thf(f14753,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_339
| ~ spl2_376 ),
inference(constrained_superposition,[],[f9993,f9159]) ).
thf(f14756,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_339
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f14753]) ).
thf(f14758,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_339
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f14756,f48]) ).
thf(f14759,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_339
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f14758,f9993]) ).
thf(f14760,plain,
( spl2_372
| ~ spl2_339
| ~ spl2_376 ),
inference(avatar_split_clause,[],[f14759,f9992,f9158,f9762]) ).
thf(f14775,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_117 ),
inference(constrained_superposition,[],[f2619,f2570]) ).
thf(f14780,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_112
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f14775]) ).
thf(f14785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f125,f5394]) ).
thf(f14787,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f625,f5394]) ).
thf(f14796,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f14785]) ).
thf(f14805,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f14787]) ).
thf(f14820,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_95
| ~ spl2_128 ),
inference(constrained_superposition,[],[f3021,f2612]) ).
thf(f14826,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_95
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f14820]) ).
thf(f14830,plain,
( ~ spl2_4
| ~ spl2_95
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f14826,f3020,f2509,f92]) ).
thf(f14845,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_264
| ~ spl2_306 ),
inference(constrained_superposition,[],[f7143,f8206]) ).
thf(f14853,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_264
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f14845]) ).
thf(f14861,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_107
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3089,f2552]) ).
thf(f14863,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_107
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f14861]) ).
thf(f14869,plain,
( ~ spl2_77
| ~ spl2_107
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f14863,f3088,f2551,f1953]) ).
thf(f14915,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_287 ),
inference(constrained_superposition,[],[f7589,f4163]) ).
thf(f14917,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_147
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f14915]) ).
thf(f14921,plain,
( $false
| ~ spl2_147
| ~ spl2_287
| ~ spl2_421 ),
inference(forward_subsumption_resolution,[],[f14917,f12040]) ).
thf(f14922,plain,
( ~ spl2_147
| ~ spl2_287
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f14921]) ).
thf(f14929,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_13
| ~ spl2_38 ),
inference(constrained_superposition,[],[f372,f1029]) ).
thf(f14930,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f372,f63]) ).
thf(f14932,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f14929]) ).
thf(f14936,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f14930]) ).
thf(f15041,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_187
| ~ spl2_326 ),
inference(constrained_superposition,[],[f8826,f5338]) ).
thf(f15043,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_187
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f15041]) ).
thf(f15047,plain,
( $false
| ~ spl2_187
| ~ spl2_326
| ~ spl2_421 ),
inference(forward_subsumption_resolution,[],[f15043,f12040]) ).
thf(f15048,plain,
( ~ spl2_187
| ~ spl2_326
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f15047]) ).
thf(f15071,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_362
| ~ spl2_406 ),
inference(constrained_superposition,[],[f11462,f9557]) ).
thf(f15076,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_362
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f15071]) ).
thf(f15080,plain,
( ~ spl2_17
| ~ spl2_362
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f15076,f11461,f9556,f179]) ).
thf(f15084,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| spl2_118
| spl2_155
| ~ spl2_252 ),
inference(constrained_superposition,[],[f7073,f10565]) ).
thf(f15090,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_118
| spl2_155
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f15084]) ).
thf(f15099,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_176
| ~ spl2_374 ),
inference(constrained_superposition,[],[f9925,f5271]) ).
thf(f15101,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_176
| ~ spl2_245 ),
inference(constrained_superposition,[],[f6968,f5271]) ).
thf(f15106,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_176
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f15101]) ).
thf(f15108,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f15099]) ).
thf(f15110,plain,
( $false
| ~ spl2_176
| ~ spl2_245
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f15106,f9515]) ).
thf(f15111,plain,
( ~ spl2_176
| ~ spl2_245
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f15110]) ).
thf(f15112,plain,
( $false
| ~ spl2_156
| ~ spl2_176
| ~ spl2_374 ),
inference(forward_subsumption_resolution,[],[f15108,f4193]) ).
thf(f15113,plain,
( ~ spl2_156
| ~ spl2_176
| ~ spl2_374 ),
inference(avatar_contradiction_clause,[],[f15112]) ).
thf(f15118,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f625,f5268]) ).
thf(f15132,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f15118]) ).
thf(f15176,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_267 ),
inference(constrained_superposition,[],[f7221,f4193]) ).
thf(f15185,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f15176]) ).
thf(f15187,plain,
( $false
| ~ spl2_107
| ~ spl2_156
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f15185,f2552]) ).
thf(f15188,plain,
( ~ spl2_107
| ~ spl2_156
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f15187]) ).
thf(f15193,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_271 ),
inference(constrained_superposition,[],[f7253,f4196]) ).
thf(f15199,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f15193]) ).
thf(f15201,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_157
| ~ spl2_271 ),
inference(constrained_superposition,[],[f15199,f51]) ).
thf(f15203,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_157
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f15201]) ).
thf(f15205,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_157
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f15203,f48]) ).
thf(f15253,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_369
| ~ spl2_377 ),
inference(constrained_superposition,[],[f9743,f10013]) ).
thf(f15258,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_369
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f15253]) ).
thf(f15263,plain,
( $false
| ~ spl2_102
| ~ spl2_369
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f15258,f2534]) ).
thf(f15264,plain,
( ~ spl2_102
| ~ spl2_369
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f15263]) ).
thf(f15268,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f57,f9162]) ).
thf(f15270,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_13
| ~ spl2_340 ),
inference(constrained_superposition,[],[f1016,f9162]) ).
thf(f15278,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_131
| ~ spl2_340 ),
inference(constrained_superposition,[],[f3109,f9162]) ).
thf(f15281,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f15268]) ).
thf(f15282,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_131
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f15278]) ).
thf(f15286,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_13
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f15270]) ).
thf(f15292,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_4
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f15281,f93]) ).
thf(f15293,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_118
| ~ spl2_131
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f15282,f5205]) ).
thf(f15295,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_13
| spl2_77
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f15286,f1954]) ).
thf(f15300,definition,
( spl2_444
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_444])],[avatar_definition]) ).
thf(f15301,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_444 ),
inference(avatar_component_clause,[],[f15300]) ).
thf(f15302,plain,
( spl2_9
| spl2_444
| spl2_4
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f15292,f9161,f92,f15300,f114]) ).
thf(f15303,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_118
| ~ spl2_131
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f15293,f48]) ).
thf(f15305,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_13
| spl2_77
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f15295,f48]) ).
thf(f15309,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_15
| spl2_118
| ~ spl2_131
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f15303,f173]) ).
thf(f15314,plain,
( spl2_28
| spl2_13
| spl2_77
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f15305,f9161,f1953,f165,f242]) ).
thf(f15320,plain,
( spl2_103
| ~ spl2_15
| spl2_118
| ~ spl2_131
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f15309,f9161,f3108,f2666,f172,f2537]) ).
thf(f15329,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_345
| ~ spl2_378 ),
inference(constrained_superposition,[],[f10017,f9487]) ).
thf(f15332,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_345
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f15329]) ).
thf(f15352,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1946,f228]) ).
thf(f15355,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f15352]) ).
thf(f15369,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_306
| ~ spl2_390 ),
inference(constrained_superposition,[],[f10287,f8206]) ).
thf(f15375,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_306
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f15369]) ).
thf(f15379,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_306
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f15375,f228]) ).
thf(f15380,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_306
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f15379,f10286,f8205,f227,f179]) ).
thf(f15385,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_312 ),
inference(constrained_superposition,[],[f8418,f5938]) ).
thf(f15386,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| spl2_13
| ~ spl2_312 ),
inference(constrained_superposition,[],[f8418,f1029]) ).
thf(f15388,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_25
| ~ spl2_312 ),
inference(constrained_superposition,[],[f8418,f228]) ).
thf(f15390,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f15388]) ).
thf(f15391,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f15386]) ).
thf(f15394,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_202
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f15385]) ).
thf(f15398,plain,
( spl2_50
| ~ spl2_25
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f15390,f8417,f227,f786]) ).
thf(f15399,plain,
( spl2_42
| spl2_13
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f15391,f8417,f165,f555]) ).
thf(f15401,plain,
( spl2_223
| ~ spl2_202
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f15394,f8417,f5937,f6458]) ).
thf(f15402,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_227
| ~ spl2_374 ),
inference(constrained_superposition,[],[f9925,f6515]) ).
thf(f15404,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_227
| ~ spl2_304 ),
inference(constrained_superposition,[],[f8102,f6515]) ).
thf(f15411,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_227
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f15404]) ).
thf(f15412,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_227
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f15402]) ).
thf(f15415,definition,
( spl2_447
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_447])],[avatar_definition]) ).
thf(f15416,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_447 ),
inference(avatar_component_clause,[],[f15415]) ).
thf(f15418,plain,
( $false
| ~ spl2_227
| ~ spl2_304
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f15411,f9487]) ).
thf(f15419,plain,
( ~ spl2_227
| ~ spl2_304
| ~ spl2_345 ),
inference(avatar_contradiction_clause,[],[f15418]) ).
thf(f15420,plain,
( $false
| ~ spl2_205
| ~ spl2_227
| ~ spl2_374 ),
inference(forward_subsumption_resolution,[],[f15412,f5949]) ).
thf(f15421,plain,
( ~ spl2_205
| ~ spl2_227
| ~ spl2_374 ),
inference(avatar_contradiction_clause,[],[f15420]) ).
thf(f15427,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f625,f6512]) ).
thf(f15440,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f15427]) ).
thf(f15467,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_354
| ~ spl2_378 ),
inference(constrained_superposition,[],[f10017,f9519]) ).
thf(f15470,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_354
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f15467]) ).
thf(f15475,plain,
( $false
| ~ spl2_107
| ~ spl2_354
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f15470,f2552]) ).
thf(f15476,plain,
( ~ spl2_107
| ~ spl2_354
| ~ spl2_378 ),
inference(avatar_contradiction_clause,[],[f15475]) ).
thf(f15479,definition,
( spl2_452
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_452])],[avatar_definition]) ).
thf(f15480,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_452 ),
inference(avatar_component_clause,[],[f15479]) ).
thf(f15483,definition,
( spl2_453
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_453])],[avatar_definition]) ).
thf(f15520,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5431,f6523]) ).
thf(f15522,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_229
| ~ spl2_378 ),
inference(constrained_superposition,[],[f10017,f6523]) ).
thf(f15528,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f15520]) ).
thf(f15529,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_229
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f15522]) ).
thf(f15531,definition,
( spl2_456
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_456])],[avatar_definition]) ).
thf(f15532,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(avatar_component_clause,[],[f15531]) ).
thf(f15534,plain,
( $false
| ~ spl2_198
| ~ spl2_229
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f15528,f9494]) ).
thf(f15535,plain,
( ~ spl2_198
| ~ spl2_229
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f15534]) ).
thf(f15536,plain,
( $false
| ~ spl2_187
| ~ spl2_229
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f15529,f5338]) ).
thf(f15537,plain,
( ~ spl2_187
| ~ spl2_229
| ~ spl2_378 ),
inference(avatar_contradiction_clause,[],[f15536]) ).
thf(f15568,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_337 ),
inference(constrained_superposition,[],[f9102,f2570]) ).
thf(f15575,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_107
| ~ spl2_337 ),
inference(constrained_superposition,[],[f9102,f2552]) ).
thf(f15578,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f15568]) ).
thf(f15583,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_107
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f15575]) ).
thf(f15587,plain,
( $false
| ~ spl2_112
| spl2_133
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f15578,f3339]) ).
thf(f15588,plain,
( ~ spl2_112
| spl2_133
| ~ spl2_337 ),
inference(avatar_contradiction_clause,[],[f15587]) ).
thf(f15590,plain,
( $false
| ~ spl2_107
| spl2_133
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f15583,f3339]) ).
thf(f15591,plain,
( ~ spl2_107
| spl2_133
| ~ spl2_337 ),
inference(avatar_contradiction_clause,[],[f15590]) ).
thf(f15593,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_181
| ~ spl2_205 ),
inference(constrained_superposition,[],[f5314,f5949]) ).
thf(f15594,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f5314,f49]) ).
thf(f15600,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f15594]) ).
thf(f15602,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_181
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f15593]) ).
thf(f15603,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f15600,f2552]) ).
thf(f15604,plain,
( $false
| ~ spl2_107
| ~ spl2_181
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f15602,f2552]) ).
thf(f15605,plain,
( ~ spl2_107
| ~ spl2_181
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f15604]) ).
thf(f15606,plain,
( $false
| ~ spl2_107
| spl2_179
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f15603,f8771]) ).
thf(f15607,plain,
( ~ spl2_107
| spl2_179
| ~ spl2_181 ),
inference(avatar_contradiction_clause,[],[f15606]) ).
thf(f15629,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_418 ),
inference(constrained_superposition,[],[f12024,f6512]) ).
thf(f15637,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f15629]) ).
thf(f15644,plain,
( $false
| ~ spl2_202
| ~ spl2_226
| ~ spl2_418 ),
inference(forward_subsumption_resolution,[],[f15637,f5938]) ).
thf(f15645,plain,
( ~ spl2_202
| ~ spl2_226
| ~ spl2_418 ),
inference(avatar_contradiction_clause,[],[f15644]) ).
thf(f15654,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_328 ),
inference(constrained_superposition,[],[f8925,f63]) ).
thf(f15662,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f15654]) ).
thf(f15664,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_157
| ~ spl2_271
| ~ spl2_328 ),
inference(forward_subsumption_resolution,[],[f15662,f15205]) ).
thf(f15665,plain,
( spl2_196
| ~ spl2_157
| ~ spl2_271
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f15664,f8924,f7252,f4195,f5409]) ).
thf(f15666,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_48
| ~ spl2_306 ),
inference(constrained_superposition,[],[f698,f8206]) ).
thf(f15677,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_48
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f15666]) ).
thf(f15683,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_283 ),
inference(constrained_superposition,[],[f7551,f5394]) ).
thf(f15688,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f15683]) ).
thf(f15694,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_192
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f15688,f2534]) ).
thf(f15695,plain,
( $false
| ~ spl2_95
| ~ spl2_102
| ~ spl2_192
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f15694,f2612]) ).
thf(f15696,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_192
| ~ spl2_283 ),
inference(avatar_contradiction_clause,[],[f15695]) ).
thf(f15703,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_291 ),
inference(constrained_superposition,[],[f7646,f5330]) ).
thf(f15705,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f15703]) ).
thf(f15713,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_185
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f15705,f228]) ).
thf(f15714,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_185
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f15713,f7645,f5329,f227,f179]) ).
thf(f15734,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_102
| ~ spl2_391 ),
inference(constrained_superposition,[],[f10310,f2534]) ).
thf(f15737,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_391 ),
inference(constrained_superposition,[],[f10310,f62]) ).
thf(f15743,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_102
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f15734]) ).
thf(f15745,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f15737]) ).
thf(f15749,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_13
| ~ spl2_102
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f15743,f1029]) ).
thf(f15750,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_13
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f15745,f1029]) ).
thf(f15751,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_102
| ~ spl2_391 ),
inference(avatar_split_clause,[],[f15749,f10309,f2533,f165,f99]) ).
thf(f15752,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_13
| ~ spl2_24
| ~ spl2_120
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f15750,f14656]) ).
thf(f15753,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_24
| ~ spl2_120
| ~ spl2_391 ),
inference(avatar_split_clause,[],[f15752,f10309,f2674,f223,f165,f99]) ).
thf(f15787,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_228
| ~ spl2_275 ),
inference(constrained_superposition,[],[f7458,f6520]) ).
thf(f15789,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_174
| ~ spl2_275 ),
inference(constrained_superposition,[],[f7458,f5264]) ).
thf(f15790,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_185
| ~ spl2_275 ),
inference(constrained_superposition,[],[f7458,f5330]) ).
thf(f15791,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f7458,f63]) ).
thf(f15792,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_228
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f15787]) ).
thf(f15793,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_185
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f15790]) ).
thf(f15795,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f15791]) ).
thf(f15797,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f15789]) ).
thf(f15800,plain,
( $false
| ~ spl2_178
| ~ spl2_228
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f15792,f5278]) ).
thf(f15801,plain,
( ~ spl2_178
| ~ spl2_228
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f15800]) ).
thf(f15802,plain,
( $false
| ~ spl2_185
| ~ spl2_275
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f15793,f8206]) ).
thf(f15803,plain,
( ~ spl2_185
| ~ spl2_275
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f15802]) ).
thf(f15805,plain,
( ~ spl2_146
| spl2_196
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f15795,f7457,f5409,f4159]) ).
thf(f15806,plain,
( $false
| ~ spl2_174
| ~ spl2_192
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f15797,f5394]) ).
thf(f15807,plain,
( ~ spl2_174
| ~ spl2_192
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f15806]) ).
thf(f15814,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_329 ),
inference(constrained_superposition,[],[f8997,f6422]) ).
thf(f15816,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_199
| ~ spl2_211 ),
inference(constrained_superposition,[],[f5435,f6422]) ).
thf(f15819,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_199
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f15816]) ).
thf(f15821,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f15814]) ).
thf(f15826,plain,
( $false
| ~ spl2_120
| ~ spl2_211
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f15821,f2675]) ).
thf(f15827,plain,
( ~ spl2_120
| ~ spl2_211
| ~ spl2_329 ),
inference(avatar_contradiction_clause,[],[f15826]) ).
thf(f15840,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_187
| ~ spl2_305 ),
inference(constrained_superposition,[],[f8201,f5338]) ).
thf(f15843,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_187
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f15840]) ).
thf(f15847,plain,
( $false
| ~ spl2_156
| ~ spl2_187
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f15843,f4193]) ).
thf(f15848,plain,
( ~ spl2_156
| ~ spl2_187
| ~ spl2_305 ),
inference(avatar_contradiction_clause,[],[f15847]) ).
thf(f15849,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_205
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9268,f5949]) ).
thf(f15857,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_205
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f15849]) ).
thf(f15859,plain,
( $false
| ~ spl2_147
| ~ spl2_205
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f15857,f4163]) ).
thf(f15860,plain,
( ~ spl2_147
| ~ spl2_205
| ~ spl2_343 ),
inference(avatar_contradiction_clause,[],[f15859]) ).
thf(f15867,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_370 ),
inference(constrained_superposition,[],[f9747,f6512]) ).
thf(f15870,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f9747,f63]) ).
thf(f15873,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f15870]) ).
thf(f15874,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f15867]) ).
thf(f15879,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_157
| ~ spl2_271
| ~ spl2_370 ),
inference(forward_subsumption_resolution,[],[f15873,f15205]) ).
thf(f15880,plain,
( $false
| ~ spl2_226
| ~ spl2_321
| ~ spl2_370 ),
inference(forward_subsumption_resolution,[],[f15874,f8753]) ).
thf(f15881,plain,
( ~ spl2_226
| ~ spl2_321
| ~ spl2_370 ),
inference(avatar_contradiction_clause,[],[f15880]) ).
thf(f15882,plain,
( spl2_373
| ~ spl2_157
| ~ spl2_271
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f15879,f9746,f7252,f4195,f9765]) ).
thf(f15883,plain,
( spl2_373
| ~ spl2_212
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f15873,f9746,f6042,f9765]) ).
thf(f15888,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_158 ),
inference(constrained_superposition,[],[f4203,f63]) ).
thf(f15890,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f15888]) ).
thf(f15897,definition,
( spl2_457
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_457])],[avatar_definition]) ).
thf(f15898,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_457 ),
inference(avatar_component_clause,[],[f15897]) ).
thf(f15899,plain,
( spl2_97
| spl2_457
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f15890,f4202,f15897,f2516]) ).
thf(f15917,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_95
| ~ spl2_457 ),
inference(constrained_superposition,[],[f15898,f2612]) ).
thf(f15920,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_95
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f15917]) ).
thf(f15924,plain,
( ~ spl2_6
| ~ spl2_95
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f15920,f15897,f2509,f99]) ).
thf(f15927,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_71
| ~ spl2_362 ),
inference(constrained_superposition,[],[f1385,f9557]) ).
thf(f15932,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_71
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f15927]) ).
thf(f15937,plain,
( spl2_353
| ~ spl2_367
| ~ spl2_71
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f15932,f9556,f1384,f9734,f9514]) ).
thf(f15943,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_174
| ~ spl2_290 ),
inference(constrained_superposition,[],[f7640,f5264]) ).
thf(f15946,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_174
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f15943]) ).
thf(f15954,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_174
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f15946,f2534]) ).
thf(f15955,plain,
( $false
| ~ spl2_95
| ~ spl2_102
| ~ spl2_174
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f15954,f2612]) ).
thf(f15956,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_174
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f15955]) ).
thf(f15957,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_218 ),
inference(constrained_superposition,[],[f6413,f50]) ).
thf(f15959,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_218 ),
inference(constrained_superposition,[],[f6413,f5394]) ).
thf(f15968,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f15959]) ).
thf(f15972,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f15957]) ).
thf(f15979,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_404 ),
inference(constrained_superposition,[],[f11220,f5278]) ).
thf(f15980,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_404 ),
inference(constrained_superposition,[],[f11220,f5394]) ).
thf(f15983,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f15979]) ).
thf(f15989,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f15980]) ).
thf(f15991,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_362 ),
inference(avatar_component_clause,[],[f9556]) ).
thf(f15992,plain,
( ~ spl2_362
| ~ spl2_350
| ~ spl2_178
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f15983,f11219,f5277,f9504,f9556]) ).
thf(f15993,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_362 ),
inference(constrained_superposition,[],[f15991,f64]) ).
thf(f15996,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_362 ),
inference(trivial_inequality_removal,[],[f15993]) ).
thf(f15997,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_453 ),
inference(avatar_component_clause,[],[f15483]) ).
thf(f15999,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_362 ),
inference(forward_subsumption_resolution,[],[f15996,f48]) ).
thf(f16000,plain,
( spl2_453
| spl2_362 ),
inference(avatar_split_clause,[],[f15999,f9556,f15483]) ).
thf(f16003,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f224,f15997]) ).
thf(f16006,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f16003]) ).
thf(f16016,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_339
| ~ spl2_453 ),
inference(constrained_superposition,[],[f16006,f9159]) ).
thf(f16018,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_339
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f16016]) ).
thf(f16021,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_339
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f16018,f48]) ).
thf(f16027,plain,
( spl2_353
| spl2_372
| ~ spl2_24
| ~ spl2_339
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f16021,f15483,f9158,f223,f9762,f9514]) ).
thf(f16028,plain,
( ~ spl2_12
| ~ spl2_112
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f14780,f2618,f2569,f161]) ).
thf(f16031,plain,
( ~ spl2_12
| ~ spl2_345
| ~ spl2_378 ),
inference(avatar_split_clause,[],[f15332,f10016,f9486,f161]) ).
thf(f16032,plain,
( spl2_156
| ~ spl2_264
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14853,f8205,f7142,f4192]) ).
thf(f16033,plain,
( ~ spl2_12
| ~ spl2_199
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f15819,f6033,f5434,f161]) ).
thf(f16034,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_13
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f14932,f371,f165,f99,f92]) ).
thf(f16035,plain,
( ~ spl2_4
| ~ spl2_6
| ~ spl2_25
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f15355,f1945,f227,f99,f92]) ).
thf(f16036,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_13
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f14936,f1016]) ).
thf(f16038,plain,
( ~ spl2_6
| ~ spl2_4
| spl2_13
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f16036,f371,f165,f92,f99]) ).
thf(f16048,plain,
( ~ spl2_98
| ~ spl2_133
| ~ spl2_192
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f15989,f11219,f5393,f3338,f2520]) ).
thf(f16055,plain,
( spl2_128
| spl2_159
| ~ spl2_102
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f14796,f5393,f2533,f4207,f3020]) ).
thf(f16061,plain,
( ~ spl2_146
| ~ spl2_239
| spl2_118
| spl2_155
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f15090,f7072,f4189,f2666,f6932,f4159]) ).
thf(f16062,plain,
( spl2_156
| ~ spl2_98
| spl2_123
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f14805,f5393,f2687,f2520,f4192]) ).
thf(f16063,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_118
| spl2_155
| ~ spl2_192
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f15968,f10565]) ).
thf(f16064,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_358 ),
inference(forward_subsumption_resolution,[],[f12839,f48]) ).
thf(f16065,plain,
( ~ spl2_239
| spl2_347
| spl2_286
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f15132,f5267,f7566,f9493,f6932]) ).
thf(f16072,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f15972,f228]) ).
thf(f16074,plain,
( ~ spl2_273
| spl2_347
| spl2_274
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f15440,f6511,f7453,f9493,f7450]) ).
thf(f16076,plain,
( ~ spl2_153
| spl2_147
| ~ spl2_48
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f15677,f8205,f697,f4162,f4182]) ).
thf(f16080,plain,
( ~ spl2_217
| spl2_118
| spl2_155
| ~ spl2_192
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f16063,f6412,f5393,f4189,f2666,f6407]) ).
thf(f16081,plain,
( spl2_347
| spl2_358 ),
inference(avatar_split_clause,[],[f16064,f9533,f9493]) ).
thf(f16082,plain,
( ~ spl2_4
| spl2_107
| ~ spl2_25
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f16072,f6412,f227,f2551,f92]) ).
thf(f16148,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_102 ),
inference(constrained_superposition,[],[f169,f2534]) ).
thf(f16166,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f16148]) ).
thf(f16174,plain,
( spl2_128
| spl2_112
| ~ spl2_14
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f16166,f2533,f168,f2569,f3020]) ).
thf(f16234,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f125,f6237]) ).
thf(f16249,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f16234]) ).
thf(f16376,definition,
( spl2_462
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_462])],[avatar_definition]) ).
thf(f16377,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_462 ),
inference(avatar_component_clause,[],[f16376]) ).
thf(f16529,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_321
| ~ spl2_389 ),
inference(constrained_superposition,[],[f10279,f8753]) ).
thf(f16549,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_321
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f16529]) ).
thf(f16636,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_225
| ~ spl2_422 ),
inference(constrained_superposition,[],[f12070,f6508]) ).
thf(f16645,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_225
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f16636]) ).
thf(f16648,plain,
( $false
| ~ spl2_196
| ~ spl2_225
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f16645,f5410]) ).
thf(f16649,plain,
( ~ spl2_196
| ~ spl2_225
| ~ spl2_422 ),
inference(avatar_contradiction_clause,[],[f16648]) ).
thf(f16653,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_185
| ~ spl2_321
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f16549,f5330]) ).
thf(f16655,plain,
( ~ spl2_273
| ~ spl2_185
| ~ spl2_321
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f16653,f10278,f8752,f5329,f7450]) ).
thf(f16779,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_287 ),
inference(constrained_superposition,[],[f7589,f6530]) ).
thf(f16785,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_231
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f16779]) ).
thf(f16788,plain,
( $false
| ~ spl2_188
| ~ spl2_231
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f16785,f5380]) ).
thf(f16789,plain,
( ~ spl2_188
| ~ spl2_231
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f16788]) ).
thf(f16822,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_326 ),
inference(constrained_superposition,[],[f8826,f6508]) ).
thf(f16823,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_211
| ~ spl2_326 ),
inference(constrained_superposition,[],[f8826,f6422]) ).
thf(f16827,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_225
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f16822]) ).
thf(f16830,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_211
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f16823]) ).
thf(f16832,plain,
( $false
| ~ spl2_157
| ~ spl2_225
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f16827,f4196]) ).
thf(f16833,plain,
( ~ spl2_157
| ~ spl2_225
| ~ spl2_326 ),
inference(avatar_contradiction_clause,[],[f16832]) ).
thf(f16834,plain,
( $false
| ~ spl2_15
| ~ spl2_211
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f16830,f173]) ).
thf(f16835,plain,
( ~ spl2_15
| ~ spl2_211
| ~ spl2_326 ),
inference(avatar_contradiction_clause,[],[f16834]) ).
thf(f16845,definition,
( spl2_465
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_465])],[avatar_definition]) ).
thf(f16846,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_465 ),
inference(avatar_component_clause,[],[f16845]) ).
thf(f16867,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_106
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3089,f2548]) ).
thf(f16871,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_106
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f16867]) ).
thf(f16875,plain,
( $false
| ~ spl2_13
| ~ spl2_106
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f16871,f166]) ).
thf(f16876,plain,
( ~ spl2_13
| ~ spl2_106
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f16875]) ).
thf(f16929,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_10
| ~ spl2_13 ),
inference(constrained_superposition,[],[f118,f166]) ).
thf(f16933,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_10
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f16929]) ).
thf(f16934,plain,
( spl2_20
| ~ spl2_10
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f16933,f165,f117,f193]) ).
thf(f16981,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f125,f7275]) ).
thf(f16994,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f16981]) ).
thf(f17007,plain,
( ( $true != $true )
| ~ spl2_225
| ~ spl2_393 ),
inference(constrained_superposition,[],[f10343,f6508]) ).
thf(f17008,plain,
( ( $true != $true )
| ~ spl2_187
| ~ spl2_393 ),
inference(constrained_superposition,[],[f10343,f5338]) ).
thf(f17010,plain,
( $false
| ~ spl2_187
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f17008]) ).
thf(f17011,plain,
( ~ spl2_187
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f17010]) ).
thf(f17013,plain,
( $false
| ~ spl2_225
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f17007]) ).
thf(f17014,plain,
( ~ spl2_225
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f17013]) ).
thf(f17032,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f224,f4169]) ).
thf(f17038,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f17032]) ).
thf(f17055,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_183 ),
inference(constrained_superposition,[],[f2619,f5323]) ).
thf(f17059,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_117
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f17055]) ).
thf(f17071,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_349
| ~ spl2_397 ),
inference(constrained_superposition,[],[f10907,f9501]) ).
thf(f17077,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_349
| ~ spl2_397 ),
inference(trivial_inequality_removal,[],[f17071]) ).
thf(f17079,definition,
( spl2_466
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_466])],[avatar_definition]) ).
thf(f17080,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_466 ),
inference(avatar_component_clause,[],[f17079]) ).
thf(f17083,plain,
( $false
| ~ spl2_13
| ~ spl2_349
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f17077,f166]) ).
thf(f17084,plain,
( ~ spl2_13
| ~ spl2_349
| ~ spl2_397 ),
inference(avatar_contradiction_clause,[],[f17083]) ).
thf(f17140,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_65
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f1192,f10565]) ).
thf(f17147,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_65
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f17140]) ).
thf(f17156,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_65
| spl2_118
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f17147,f48]) ).
thf(f17159,plain,
( spl2_147
| ~ spl2_65
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f17156,f4189,f2666,f1191,f4162]) ).
thf(f17227,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f125,f5264]) ).
thf(f17244,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f17227]) ).
thf(f17257,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f125,f8753]) ).
thf(f17272,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f17257]) ).
thf(f17334,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_230
| ~ spl2_274 ),
inference(constrained_superposition,[],[f7454,f6527]) ).
thf(f17345,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_230
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f17334]) ).
thf(f17347,plain,
( ~ spl2_239
| ~ spl2_230
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f17345,f7453,f6526,f6932]) ).
thf(f17423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_349
| ~ spl2_360 ),
inference(constrained_superposition,[],[f9550,f9501]) ).
thf(f17424,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_353
| ~ spl2_360 ),
inference(constrained_superposition,[],[f9550,f9515]) ).
thf(f17425,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_353
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f17424]) ).
thf(f17428,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_349
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f17423]) ).
thf(f17429,plain,
( spl2_29
| ~ spl2_353
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f17425,f9549,f9514,f256]) ).
thf(f17430,plain,
( spl2_26
| ~ spl2_349
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f17428,f9549,f9500,f230]) ).
thf(f17435,definition,
( spl2_467
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_467])],[avatar_definition]) ).
thf(f17436,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_467 ),
inference(avatar_component_clause,[],[f17435]) ).
thf(f17450,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f17038,f51]) ).
thf(f17452,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f17450]) ).
thf(f17454,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f17452,f48]) ).
thf(f17458,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_23
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f210,f17454]) ).
thf(f17461,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f637,f17454]) ).
thf(f17468,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f17461]) ).
thf(f17469,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_23
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f17458]) ).
thf(f17480,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f17468,f195]) ).
thf(f17486,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4
| ~ spl2_24
| ~ spl2_117
| ~ spl2_149
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f17480,f17059]) ).
thf(f17488,plain,
( spl2_419
| ~ spl2_4
| ~ spl2_24
| ~ spl2_117
| ~ spl2_149
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f17486,f5322,f4168,f2618,f223,f92,f12030]) ).
thf(f17491,plain,
( ~ spl2_153
| ~ spl2_239
| ~ spl2_23
| ~ spl2_24
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f17469,f4168,f223,f209,f6932,f4182]) ).
thf(f17492,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_102
| ~ spl2_174 ),
inference(forward_subsumption_resolution,[],[f17244,f2534]) ).
thf(f17493,plain,
( spl2_196
| spl2_128
| ~ spl2_102
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f17492,f5263,f2533,f3020,f5409]) ).
thf(f17583,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_349 ),
inference(constrained_superposition,[],[f13585,f9501]) ).
thf(f17586,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_24
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f17583]) ).
thf(f17657,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(constrained_superposition,[],[f12070,f5323]) ).
thf(f17663,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f17657]) ).
thf(f17668,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_422 ),
inference(constrained_superposition,[],[f17663,f51]) ).
thf(f17671,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_183
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f17668]) ).
thf(f17673,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_183
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f17671,f48]) ).
thf(f17676,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(constrained_superposition,[],[f152,f17673]) ).
thf(f17678,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(constrained_superposition,[],[f72,f17673]) ).
thf(f17679,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(constrained_superposition,[],[f625,f17673]) ).
thf(f17692,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f17676]) ).
thf(f17694,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f17679]) ).
thf(f17695,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_183
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f17678]) ).
thf(f17755,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_326 ),
inference(constrained_superposition,[],[f8826,f6508]) ).
thf(f17761,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_225
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f17755]) ).
thf(f17763,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_225
| ~ spl2_326 ),
inference(constrained_superposition,[],[f17761,f51]) ).
thf(f17766,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_225
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f17763]) ).
thf(f17768,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_225
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f17766,f48]) ).
thf(f17770,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_23
| ~ spl2_225
| ~ spl2_326 ),
inference(constrained_superposition,[],[f210,f17768]) ).
thf(f17780,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_23
| ~ spl2_225
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f17770]) ).
thf(f17791,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_23
| ~ spl2_153
| ~ spl2_225
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f17780,f4183]) ).
thf(f17798,plain,
( ~ spl2_239
| ~ spl2_23
| ~ spl2_153
| ~ spl2_225
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f17791,f8825,f6507,f4182,f209,f6932]) ).
thf(f17803,plain,
( spl2_13
| ~ spl2_102
| spl2_128
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f16994,f2577,f3020,f2533,f165]) ).
thf(f17804,plain,
( spl2_128
| ~ spl2_33
| spl2_112
| ~ spl2_183
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f17692,f12069,f5322,f2569,f318,f3020]) ).
thf(f17807,plain,
( spl2_127
| spl2_106
| ~ spl2_183
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f17695,f12069,f5322,f2547,f3015]) ).
thf(f17813,plain,
( spl2_39
| spl2_103
| ~ spl2_6
| ~ spl2_183
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f17694,f12069,f5322,f99,f2537,f375]) ).
thf(f17824,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f125,f2612]) ).
thf(f17839,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f17824]) ).
thf(f17848,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f17839,f195]) ).
thf(f17851,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_95
| ~ spl2_183
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f17848,f17663]) ).
thf(f17852,plain,
( spl2_39
| ~ spl2_4
| ~ spl2_95
| ~ spl2_183
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f17851,f12069,f5322,f2509,f92,f375]) ).
thf(f17853,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_13 ),
inference(constrained_superposition,[],[f1016,f51]) ).
thf(f17855,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f17853]) ).
thf(f17857,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f17855,f48]) ).
thf(f17865,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f24,f17857]) ).
thf(f17883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f17865]) ).
thf(f17892,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f264,f49]) ).
thf(f17893,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_205 ),
inference(constrained_superposition,[],[f264,f5949]) ).
thf(f17894,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_31
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f17893]) ).
thf(f17895,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f17892]) ).
thf(f17897,plain,
( spl2_393
| ~ spl2_31
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f17894,f5948,f263,f10342]) ).
thf(f17911,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_156 ),
inference(constrained_superposition,[],[f264,f4193]) ).
thf(f17913,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_31
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f17911]) ).
thf(f17917,plain,
( spl2_322
| ~ spl2_31
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f17913,f4192,f263,f8759]) ).
thf(f17985,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_31
| ~ spl2_187 ),
inference(constrained_superposition,[],[f17895,f5338]) ).
thf(f17994,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_31
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f17985]) ).
thf(f18018,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(constrained_superposition,[],[f224,f7631]) ).
thf(f18023,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f18018]) ).
thf(f18028,plain,
( $false
| ~ spl2_24
| ~ spl2_188
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f18023,f5380]) ).
thf(f18029,plain,
( ~ spl2_24
| ~ spl2_188
| ~ spl2_288 ),
inference(avatar_contradiction_clause,[],[f18028]) ).
thf(f18031,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_183
| ~ spl2_321
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f17272,f17663]) ).
thf(f18034,plain,
( ~ spl2_219
| spl2_278
| ~ spl2_183
| ~ spl2_321
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f18031,f12069,f8752,f5322,f7472,f6420]) ).
thf(f18068,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_22
| ~ spl2_211 ),
inference(constrained_superposition,[],[f202,f6422]) ).
thf(f18069,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_211 ),
inference(constrained_superposition,[],[f17895,f6422]) ).
thf(f18073,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_31
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f18069]) ).
thf(f18075,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_22
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f18068]) ).
thf(f18077,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_22
| ~ spl2_211 ),
inference(constrained_superposition,[],[f18075,f51]) ).
thf(f18079,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_22
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f18077]) ).
thf(f18081,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_22
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f18079,f48]) ).
thf(f18086,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_211 ),
inference(constrained_superposition,[],[f72,f18081]) ).
thf(f18096,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f18086]) ).
thf(f18125,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_118
| spl2_155
| ~ spl2_426 ),
inference(constrained_superposition,[],[f12264,f10565]) ).
thf(f18129,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_426 ),
inference(constrained_superposition,[],[f12264,f63]) ).
thf(f18131,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_118
| spl2_155
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f18125]) ).
thf(f18137,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f18129]) ).
thf(f18139,plain,
( $false
| spl2_118
| spl2_155
| ~ spl2_322
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f18131,f8760]) ).
thf(f18140,plain,
( spl2_118
| spl2_155
| ~ spl2_322
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f18139]) ).
thf(f18143,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f18137,f14701]) ).
thf(f18144,plain,
( $false
| spl2_1
| spl2_13
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f18143,f1016]) ).
thf(f18145,plain,
( spl2_1
| spl2_13
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f18144]) ).
thf(f18146,plain,
( spl2_296
| spl2_188
| ~ spl2_22
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f18096,f6033,f201,f5379,f7718]) ).
thf(f18172,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_184
| ~ spl2_306 ),
inference(constrained_superposition,[],[f8206,f5326]) ).
thf(f18177,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_184
| ~ spl2_366 ),
inference(constrained_superposition,[],[f9575,f5326]) ).
thf(f18199,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f63,f5326]) ).
thf(f18205,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f134,f5326]) ).
thf(f18208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f152,f5326]) ).
thf(f18209,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f604,f5326]) ).
thf(f18210,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f1523,f5326]) ).
thf(f18213,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_184 ),
inference(constrained_superposition,[],[f13585,f5326]) ).
thf(f18244,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_184 ),
inference(duplicate_literal_removal,[],[f18208]) ).
thf(f18257,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18199,f106]) ).
thf(f18259,plain,
( spl2_114
| ~ spl2_184
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f18177,f9574,f5325,f2577]) ).
thf(f18265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_45
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18244,f619]) ).
thf(f18266,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_134
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18210,f3343]) ).
thf(f18267,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18209,f326]) ).
thf(f18268,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| spl2_35
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18213,f326]) ).
thf(f18269,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_35
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18205,f326]) ).
thf(f18274,plain,
( $false
| spl2_18
| ~ spl2_184
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f18172,f183]) ).
thf(f18275,plain,
( spl2_18
| ~ spl2_184
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f18274]) ).
thf(f18280,plain,
( $false
| spl2_8
| spl2_79
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18257,f1965]) ).
thf(f18281,plain,
( spl2_8
| spl2_79
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f18280]) ).
thf(f18284,plain,
( spl2_312
| spl2_45
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f18265,f5325,f618,f8417]) ).
thf(f18285,plain,
( spl2_152
| spl2_134
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f18266,f5325,f3342,f4178]) ).
thf(f18286,plain,
( spl2_21
| spl2_124
| spl2_35
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f18267,f5325,f325,f2879,f198]) ).
thf(f18287,plain,
( $false
| ~ spl2_15
| ~ spl2_24
| spl2_35
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18268,f173]) ).
thf(f18288,plain,
( ~ spl2_15
| ~ spl2_24
| spl2_35
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f18287]) ).
thf(f18289,plain,
( $false
| spl2_35
| spl2_45
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18269,f619]) ).
thf(f18290,plain,
( spl2_35
| spl2_45
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f18289]) ).
thf(f18461,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_130
| ~ spl2_173 ),
inference(constrained_superposition,[],[f3089,f5261]) ).
thf(f18469,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_130
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f18461]) ).
thf(f18470,plain,
( $false
| ~ spl2_130
| ~ spl2_173
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f18469,f6422]) ).
thf(f18471,plain,
( ~ spl2_130
| ~ spl2_173
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f18470]) ).
thf(f18472,plain,
( spl2_179
| ~ spl2_31
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f17994,f5337,f263,f5305]) ).
thf(f18473,plain,
( spl2_179
| ~ spl2_31
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f18073,f6033,f263,f5305]) ).
thf(f18628,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_422 ),
inference(constrained_superposition,[],[f12070,f6508]) ).
thf(f18635,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_225
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f18628]) ).
thf(f18639,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_225
| ~ spl2_422 ),
inference(constrained_superposition,[],[f18635,f51]) ).
thf(f18641,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_225
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f18639]) ).
thf(f18643,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_225
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f18641,f48]) ).
thf(f18647,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_225
| ~ spl2_422 ),
inference(constrained_superposition,[],[f152,f18643]) ).
thf(f18668,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_225
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f18647]) ).
thf(f18676,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_13
| ~ spl2_225
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f18668,f17857]) ).
thf(f18678,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13
| spl2_211
| ~ spl2_225
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f18676,f6034]) ).
thf(f18679,plain,
( spl2_278
| spl2_13
| spl2_211
| ~ spl2_225
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f18678,f12069,f6507,f6033,f165,f7472]) ).
thf(f18735,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_428 ),
inference(constrained_superposition,[],[f12781,f6530]) ).
thf(f18738,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_231
| ~ spl2_428 ),
inference(trivial_inequality_removal,[],[f18735]) ).
thf(f18744,plain,
( $false
| ~ spl2_159
| ~ spl2_231
| ~ spl2_428 ),
inference(forward_subsumption_resolution,[],[f18738,f4208]) ).
thf(f18745,plain,
( ~ spl2_159
| ~ spl2_231
| ~ spl2_428 ),
inference(avatar_contradiction_clause,[],[f18744]) ).
thf(f18752,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_278 ),
inference(constrained_superposition,[],[f7473,f5306]) ).
thf(f18758,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_179
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f18752]) ).
thf(f18760,plain,
( $false
| ~ spl2_4
| ~ spl2_179
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f18758,f195]) ).
thf(f18761,plain,
( ~ spl2_4
| ~ spl2_179
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f18760]) ).
thf(f18763,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f257,f49]) ).
thf(f18764,plain,
( ! [X0: $i] :
( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f18763]) ).
thf(f18946,definition,
( spl2_468
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_468])],[avatar_definition]) ).
thf(f18947,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_468 ),
inference(avatar_component_clause,[],[f18946]) ).
thf(f18952,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_177
| ~ spl2_267 ),
inference(constrained_superposition,[],[f7221,f5275]) ).
thf(f18957,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_177
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f18952]) ).
thf(f18981,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345
| ~ spl2_417 ),
inference(constrained_superposition,[],[f9487,f11943]) ).
thf(f18992,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_417 ),
inference(constrained_superposition,[],[f1523,f11943]) ).
thf(f19053,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_134
| ~ spl2_417 ),
inference(forward_subsumption_resolution,[],[f18992,f3343]) ).
thf(f19058,plain,
( $false
| spl2_155
| ~ spl2_345
| ~ spl2_417 ),
inference(forward_subsumption_resolution,[],[f18981,f8197]) ).
thf(f19059,plain,
( spl2_155
| ~ spl2_345
| ~ spl2_417 ),
inference(avatar_contradiction_clause,[],[f19058]) ).
thf(f19060,plain,
( spl2_152
| spl2_134
| ~ spl2_417 ),
inference(avatar_split_clause,[],[f19053,f11942,f3342,f4178]) ).
thf(f19061,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_177
| ~ spl2_267 ),
inference(constrained_superposition,[],[f18957,f51]) ).
thf(f19064,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_177
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f19061]) ).
thf(f19066,definition,
( spl2_470
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_470])],[avatar_definition]) ).
thf(f19067,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_470 ),
inference(avatar_component_clause,[],[f19066]) ).
thf(f19072,plain,
( spl2_377
| spl2_186
| ~ spl2_177
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f19064,f7220,f5274,f5334,f10012]) ).
thf(f19119,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_177
| ~ spl2_466 ),
inference(constrained_superposition,[],[f17080,f5275]) ).
thf(f19120,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_345
| ~ spl2_466 ),
inference(constrained_superposition,[],[f17080,f9487]) ).
thf(f19126,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_177
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f19119]) ).
thf(f19128,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_345
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f19120]) ).
thf(f19129,plain,
( $false
| ~ spl2_157
| ~ spl2_177
| ~ spl2_466 ),
inference(forward_subsumption_resolution,[],[f19126,f4196]) ).
thf(f19130,plain,
( ~ spl2_157
| ~ spl2_177
| ~ spl2_466 ),
inference(avatar_contradiction_clause,[],[f19129]) ).
thf(f19131,plain,
( $false
| ~ spl2_15
| ~ spl2_345
| ~ spl2_466 ),
inference(forward_subsumption_resolution,[],[f19128,f173]) ).
thf(f19132,plain,
( ~ spl2_15
| ~ spl2_345
| ~ spl2_466 ),
inference(avatar_contradiction_clause,[],[f19131]) ).
thf(f19135,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_157
| ~ spl2_271 ),
inference(constrained_superposition,[],[f7253,f4196]) ).
thf(f19137,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f19135]) ).
thf(f19141,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_157
| ~ spl2_271 ),
inference(constrained_superposition,[],[f19137,f51]) ).
thf(f19144,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_157
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f19141]) ).
thf(f19146,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_157
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f19144,f48]) ).
thf(f19149,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_157
| ~ spl2_271 ),
inference(constrained_superposition,[],[f152,f19146]) ).
thf(f19174,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f19149]) ).
thf(f19189,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_133 ),
inference(constrained_superposition,[],[f2671,f6237]) ).
thf(f19203,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_119
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f19189]) ).
thf(f19311,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f11462,f63]) ).
thf(f19318,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f19311]) ).
thf(f19399,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_229
| ~ spl2_397 ),
inference(constrained_superposition,[],[f10907,f6523]) ).
thf(f19405,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_229
| ~ spl2_397 ),
inference(trivial_inequality_removal,[],[f19399]) ).
thf(f19408,plain,
( $false
| ~ spl2_211
| ~ spl2_229
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f19405,f6422]) ).
thf(f19409,plain,
( ~ spl2_211
| ~ spl2_229
| ~ spl2_397 ),
inference(avatar_contradiction_clause,[],[f19408]) ).
thf(f19410,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_228
| ~ spl2_274 ),
inference(constrained_superposition,[],[f7454,f6520]) ).
thf(f19427,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_228
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f19410]) ).
thf(f19479,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_283
| ~ spl2_306 ),
inference(constrained_superposition,[],[f7551,f8206]) ).
thf(f19484,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_283
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f19479]) ).
thf(f19582,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_227
| ~ spl2_305 ),
inference(constrained_superposition,[],[f8201,f6515]) ).
thf(f19586,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_227
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f19582]) ).
thf(f19589,plain,
( $false
| ~ spl2_177
| ~ spl2_227
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f19586,f5275]) ).
thf(f19590,plain,
( ~ spl2_177
| ~ spl2_227
| ~ spl2_305 ),
inference(avatar_contradiction_clause,[],[f19589]) ).
thf(f19592,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_286 ),
inference(constrained_superposition,[],[f7567,f5278]) ).
thf(f19616,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f19592]) ).
thf(f19678,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_95
| ~ spl2_235 ),
inference(constrained_superposition,[],[f6864,f2612]) ).
thf(f19681,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_95
| ~ spl2_235 ),
inference(trivial_inequality_removal,[],[f19678]) ).
thf(f19695,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_247
| ~ spl2_306 ),
inference(constrained_superposition,[],[f7017,f8206]) ).
thf(f19706,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_247
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f19695]) ).
thf(f19733,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_346
| ~ spl2_377 ),
inference(constrained_superposition,[],[f9490,f10013]) ).
thf(f19734,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_346
| ~ spl2_362 ),
inference(constrained_superposition,[],[f9490,f9557]) ).
thf(f19735,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f9490,f63]) ).
thf(f19736,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_346
| ~ spl2_358 ),
inference(constrained_superposition,[],[f9490,f9922]) ).
thf(f19737,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_346 ),
inference(constrained_superposition,[],[f9490,f18764]) ).
thf(f19738,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_346
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f19734]) ).
thf(f19739,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_346
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f19736]) ).
thf(f19741,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_346
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f19733]) ).
thf(f19743,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f19735]) ).
thf(f19744,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_29
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f19737]) ).
thf(f19747,plain,
( $false
| ~ spl2_306
| ~ spl2_346
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f19738,f8206]) ).
thf(f19748,plain,
( ~ spl2_306
| ~ spl2_346
| ~ spl2_362 ),
inference(avatar_contradiction_clause,[],[f19747]) ).
thf(f19749,plain,
( $false
| ~ spl2_153
| ~ spl2_346
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f19739,f4183]) ).
thf(f19750,plain,
( ~ spl2_153
| ~ spl2_346
| ~ spl2_358 ),
inference(avatar_contradiction_clause,[],[f19749]) ).
thf(f19752,plain,
( $false
| ~ spl2_192
| ~ spl2_346
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f19741,f5394]) ).
thf(f19753,plain,
( ~ spl2_192
| ~ spl2_346
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f19752]) ).
thf(f19754,plain,
( ~ spl2_146
| spl2_373
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f19743,f9489,f9765,f4159]) ).
thf(f19755,plain,
( $false
| ~ spl2_29
| ~ spl2_153
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f19744,f4183]) ).
thf(f19756,plain,
( ~ spl2_29
| ~ spl2_153
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f19755]) ).
thf(f19759,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_188
| ~ spl2_305 ),
inference(constrained_superposition,[],[f8201,f5380]) ).
thf(f19764,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_188
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f19759]) ).
thf(f19770,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_188
| ~ spl2_305 ),
inference(constrained_superposition,[],[f19764,f51]) ).
thf(f19772,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_188
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f19770]) ).
thf(f19774,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_188
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f19772,f48]) ).
thf(f19779,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_188
| ~ spl2_305 ),
inference(constrained_superposition,[],[f2486,f19774]) ).
thf(f19780,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_188
| ~ spl2_305 ),
inference(constrained_superposition,[],[f152,f19774]) ).
thf(f19795,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_188
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f19780]) ).
thf(f19808,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_188
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f19779]) ).
thf(f19814,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| ~ spl2_188
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f19795,f17857]) ).
thf(f19815,plain,
( spl2_246
| spl2_237
| ~ spl2_188
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f19808,f8200,f5379,f6924,f7012]) ).
thf(f19817,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13
| spl2_155
| ~ spl2_188
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f19814,f8197]) ).
thf(f19818,plain,
( spl2_250
| spl2_13
| spl2_155
| ~ spl2_188
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f19817,f8200,f5379,f4189,f165,f7027]) ).
thf(f19847,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_224
| ~ spl2_286 ),
inference(constrained_superposition,[],[f7567,f6505]) ).
thf(f19868,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_224
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f19847]) ).
thf(f19881,plain,
( ~ spl2_273
| ~ spl2_224
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f19868,f7566,f6504,f7450]) ).
thf(f19891,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_176
| ~ spl2_287 ),
inference(constrained_superposition,[],[f7589,f5271]) ).
thf(f19897,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_176
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f19891]) ).
thf(f19902,plain,
( $false
| ~ spl2_176
| ~ spl2_287
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f19897,f9501]) ).
thf(f19903,plain,
( ~ spl2_176
| ~ spl2_287
| ~ spl2_349 ),
inference(avatar_contradiction_clause,[],[f19902]) ).
thf(f19986,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(constrained_superposition,[],[f18947,f9501]) ).
thf(f19991,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_349
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f19986]) ).
thf(f19993,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(constrained_superposition,[],[f19991,f51]) ).
thf(f19995,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f19993]) ).
thf(f19997,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f19995,f48]) ).
thf(f20003,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_349
| ~ spl2_468 ),
inference(constrained_superposition,[],[f152,f19997]) ).
thf(f20027,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_349
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f20003]) ).
thf(f20039,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| ~ spl2_349
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f20027,f17857]) ).
thf(f20040,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_13
| spl2_155
| ~ spl2_349
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f20039,f8197]) ).
thf(f20041,plain,
( spl2_250
| spl2_13
| spl2_155
| ~ spl2_349
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f20040,f18946,f9500,f4189,f165,f7027]) ).
thf(f20065,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_285 ),
inference(constrained_superposition,[],[f7561,f5278]) ).
thf(f20074,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f20065]) ).
thf(f20084,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_285
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f20074,f9922]) ).
thf(f20090,plain,
( $false
| ~ spl2_178
| ~ spl2_285
| ~ spl2_358
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f20084,f10088]) ).
thf(f20091,plain,
( ~ spl2_178
| ~ spl2_285
| ~ spl2_358
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f20090]) ).
thf(f20096,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_237
| ~ spl2_271 ),
inference(constrained_superposition,[],[f7253,f6925]) ).
thf(f20100,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_237
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f20096]) ).
thf(f20106,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f6391,f50]) ).
thf(f20107,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f6391,f1523]) ).
thf(f20117,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f20106]) ).
thf(f20122,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f20107]) ).
thf(f20131,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_296 ),
inference(constrained_superposition,[],[f7719,f5264]) ).
thf(f20145,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f20131]) ).
thf(f20157,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_392 ),
inference(constrained_superposition,[],[f10314,f62]) ).
thf(f20167,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f20157]) ).
thf(f20174,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_377
| ~ spl2_432 ),
inference(constrained_superposition,[],[f12835,f10013]) ).
thf(f20185,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_377
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f20174]) ).
thf(f20213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_13 ),
inference(constrained_superposition,[],[f17883,f133]) ).
thf(f20225,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f20213]) ).
thf(f20229,plain,
( spl2_14
| spl2_13 ),
inference(avatar_split_clause,[],[f20225,f165,f168]) ).
thf(f20237,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_447 ),
inference(constrained_superposition,[],[f15416,f134]) ).
thf(f20241,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_447 ),
inference(trivial_inequality_removal,[],[f20237]) ).
thf(f20247,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(constrained_superposition,[],[f15532,f9501]) ).
thf(f20249,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f20247]) ).
thf(f20254,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_349
| ~ spl2_456 ),
inference(constrained_superposition,[],[f20249,f51]) ).
thf(f20256,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f20254]) ).
thf(f20258,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f20256,f48]) ).
thf(f20263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_349
| ~ spl2_456 ),
inference(constrained_superposition,[],[f2486,f20258]) ).
thf(f20292,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_349
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f20263]) ).
thf(f20299,plain,
( spl2_293
| spl2_194
| ~ spl2_349
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f20292,f15531,f9500,f5401,f7707]) ).
thf(f20305,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_46
| ~ spl2_345 ),
inference(constrained_superposition,[],[f622,f9487]) ).
thf(f20306,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_46
| ~ spl2_349 ),
inference(constrained_superposition,[],[f622,f9501]) ).
thf(f20320,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_46
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f20306]) ).
thf(f20326,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_46
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f20305]) ).
thf(f20406,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_238
| ~ spl2_306 ),
inference(constrained_superposition,[],[f6929,f8206]) ).
thf(f20413,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_238
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f20406]) ).
thf(f20426,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_185
| ~ spl2_292 ),
inference(constrained_superposition,[],[f7650,f5330]) ).
thf(f20428,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f7650,f63]) ).
thf(f20434,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f20428]) ).
thf(f20441,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f20426]) ).
thf(f20445,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_4
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f20434,f195]) ).
thf(f20448,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_185
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f20441,f6237]) ).
thf(f20453,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_4
| ~ spl2_157
| ~ spl2_271
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f20445,f19146]) ).
thf(f20454,plain,
( $false
| ~ spl2_25
| ~ spl2_133
| ~ spl2_185
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f20448,f228]) ).
thf(f20455,plain,
( ~ spl2_25
| ~ spl2_133
| ~ spl2_185
| ~ spl2_292 ),
inference(avatar_contradiction_clause,[],[f20454]) ).
thf(f20456,plain,
( $false
| ~ spl2_4
| ~ spl2_157
| ~ spl2_271
| ~ spl2_292
| ~ spl2_349
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f20453,f20249]) ).
thf(f20457,plain,
( ~ spl2_4
| ~ spl2_157
| ~ spl2_271
| ~ spl2_292
| ~ spl2_349
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f20456]) ).
thf(f20460,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_304 ),
inference(constrained_superposition,[],[f8102,f5402]) ).
thf(f20462,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_46
| ~ spl2_194 ),
inference(constrained_superposition,[],[f622,f5402]) ).
thf(f20471,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f20460]) ).
thf(f20472,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_46
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f20462]) ).
thf(f20477,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| ~ spl2_157
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f19174,f17857]) ).
thf(f20478,plain,
( ~ spl2_112
| ~ spl2_194
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f20471,f8101,f5401,f2569]) ).
thf(f20479,plain,
( spl2_128
| spl2_112
| spl2_13
| ~ spl2_157
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f20477,f7252,f4195,f165,f2569,f3020]) ).
thf(f20480,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_133
| ~ spl2_157
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f16249,f19137]) ).
thf(f20481,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_25
| ~ spl2_283
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f19484,f228]) ).
thf(f20485,plain,
( spl2_362
| spl2_20
| ~ spl2_46
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f20326,f9486,f621,f193,f9556]) ).
thf(f20487,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_211
| ~ spl2_447 ),
inference(forward_subsumption_resolution,[],[f20241,f6422]) ).
thf(f20488,plain,
( spl2_362
| ~ spl2_24
| ~ spl2_349 ),
inference(avatar_split_clause,[],[f17586,f9500,f223,f9556]) ).
thf(f20489,plain,
( ~ spl2_18
| ~ spl2_114
| ~ spl2_238
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f20413,f8205,f6928,f2577,f182]) ).
thf(f20490,plain,
( spl2_26
| spl2_362
| ~ spl2_46
| ~ spl2_349 ),
inference(avatar_split_clause,[],[f20320,f9500,f621,f9556,f230]) ).
thf(f20491,plain,
( spl2_139
| spl2_185
| ~ spl2_46
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f20472,f5401,f621,f5329,f3493]) ).
thf(f20493,plain,
( ~ spl2_350
| ~ spl2_178
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f19616,f7566,f5277,f9504]) ).
thf(f20496,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_13
| ~ spl2_247
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f19706,f17857]) ).
thf(f20501,plain,
( ~ spl2_350
| ~ spl2_228
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f19427,f7453,f6519,f9504]) ).
thf(f20502,plain,
( $false
| ~ spl2_152
| ~ spl2_237
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f4179,f20100]) ).
thf(f20503,plain,
( ~ spl2_152
| ~ spl2_237
| ~ spl2_271 ),
inference(avatar_contradiction_clause,[],[f20502]) ).
thf(f20504,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_25
| ~ spl2_119
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f19203,f228]) ).
thf(f20505,plain,
( ~ spl2_18
| spl2_42
| ~ spl2_133
| ~ spl2_157
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f20480,f7252,f4195,f3338,f555,f182]) ).
thf(f20506,plain,
( ~ spl2_18
| ~ spl2_25
| ~ spl2_283
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f20481,f8205,f7550,f227,f182]) ).
thf(f20508,plain,
( spl2_362
| ~ spl2_211
| ~ spl2_447 ),
inference(avatar_split_clause,[],[f20487,f15415,f6033,f9556]) ).
thf(f20510,plain,
( ~ spl2_18
| spl2_13
| ~ spl2_247
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f20496,f8205,f7016,f165,f182]) ).
thf(f20512,plain,
( ~ spl2_18
| ~ spl2_25
| ~ spl2_119
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f20504,f3338,f2670,f227,f182]) ).
thf(f20551,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_56
| ~ spl2_112 ),
inference(constrained_superposition,[],[f881,f2570]) ).
thf(f20557,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_56
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f20551]) ).
thf(f20643,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_42 ),
inference(constrained_superposition,[],[f556,f228]) ).
thf(f20644,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_42 ),
inference(constrained_superposition,[],[f556,f18764]) ).
thf(f20645,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f20644]) ).
thf(f20653,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f20643]) ).
thf(f20654,plain,
( $false
| ~ spl2_4
| ~ spl2_29
| ~ spl2_42 ),
inference(forward_subsumption_resolution,[],[f20645,f195]) ).
thf(f20655,plain,
( ~ spl2_4
| ~ spl2_29
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f20654]) ).
thf(f20657,plain,
( $false
| ~ spl2_4
| ~ spl2_25
| ~ spl2_42 ),
inference(forward_subsumption_resolution,[],[f20653,f195]) ).
thf(f20658,plain,
( ~ spl2_4
| ~ spl2_25
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f20657]) ).
thf(f20659,plain,
( ~ spl2_114
| spl2_237
| ~ spl2_102
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f20122,f6390,f2533,f6924,f2577]) ).
thf(f20661,plain,
( ~ spl2_212
| ~ spl2_102
| ~ spl2_174
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f20145,f7718,f5263,f2533,f6042]) ).
thf(f20662,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_95
| ~ spl2_377
| ~ spl2_432 ),
inference(forward_subsumption_resolution,[],[f20185,f2612]) ).
thf(f20665,plain,
( ~ spl2_102
| ~ spl2_95
| ~ spl2_377
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f20662,f12834,f10012,f2509,f2533]) ).
thf(f20739,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_24
| ~ spl2_188 ),
inference(constrained_superposition,[],[f13585,f5380]) ).
thf(f20744,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_24
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f20739]) ).
thf(f20749,plain,
( spl2_185
| ~ spl2_24
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f20744,f5379,f223,f5329]) ).
thf(f20751,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_196
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9268,f5410]) ).
thf(f20752,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_196
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5431,f5410]) ).
thf(f20759,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_196
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f20751]) ).
thf(f20762,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_196
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f20752]) ).
thf(f20764,plain,
( $false
| ~ spl2_157
| ~ spl2_196
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f20759,f4196]) ).
thf(f20765,plain,
( ~ spl2_157
| ~ spl2_196
| ~ spl2_343 ),
inference(avatar_contradiction_clause,[],[f20764]) ).
thf(f20768,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_135
| ~ spl2_397 ),
inference(constrained_superposition,[],[f10907,f3346]) ).
thf(f20772,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f29,f3346]) ).
thf(f20778,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_135
| ~ spl2_397 ),
inference(trivial_inequality_removal,[],[f20768]) ).
thf(f20779,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f20772]) ).
thf(f20782,plain,
( $false
| ~ spl2_112
| ~ spl2_135
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f20778,f2570]) ).
thf(f20783,plain,
( ~ spl2_112
| ~ spl2_135
| ~ spl2_397 ),
inference(avatar_contradiction_clause,[],[f20782]) ).
thf(f20785,definition,
( spl2_476
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_476])],[avatar_definition]) ).
thf(f20786,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_476 ),
inference(avatar_component_clause,[],[f20785]) ).
thf(f20787,plain,
( spl2_132
| spl2_476
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f20779,f3345,f20785,f3111]) ).
thf(f20874,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_373
| ~ spl2_447 ),
inference(constrained_superposition,[],[f15416,f9766]) ).
thf(f20875,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_361
| ~ spl2_373 ),
inference(constrained_superposition,[],[f9553,f9766]) ).
thf(f20885,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_361
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f20875]) ).
thf(f20887,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_373
| ~ spl2_447 ),
inference(trivial_inequality_removal,[],[f20874]) ).
thf(f20888,plain,
( $false
| ~ spl2_157
| ~ spl2_361
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f20885,f4196]) ).
thf(f20889,plain,
( ~ spl2_157
| ~ spl2_361
| ~ spl2_373 ),
inference(avatar_contradiction_clause,[],[f20888]) ).
thf(f20891,plain,
( $false
| ~ spl2_188
| ~ spl2_373
| ~ spl2_447 ),
inference(forward_subsumption_resolution,[],[f20887,f5380]) ).
thf(f20892,plain,
( ~ spl2_188
| ~ spl2_373
| ~ spl2_447 ),
inference(avatar_contradiction_clause,[],[f20891]) ).
thf(f20966,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f3109,f134]) ).
thf(f20971,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f20966]) ).
thf(f20976,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_157
| ~ spl2_287 ),
inference(constrained_superposition,[],[f7589,f4196]) ).
thf(f20980,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_157
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f20976]) ).
thf(f20982,plain,
( ~ spl2_79
| ~ spl2_157
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f20980,f7588,f4195,f1964]) ).
thf(f20984,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_422 ),
inference(constrained_superposition,[],[f12070,f134]) ).
thf(f20988,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f20984]) ).
thf(f20993,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_407 ),
inference(constrained_superposition,[],[f11473,f6505]) ).
thf(f21004,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_392 ),
inference(constrained_superposition,[],[f10314,f6505]) ).
thf(f21014,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f21004]) ).
thf(f21026,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f20993]) ).
thf(f21033,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_185
| ~ spl2_224
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f21026,f5330]) ).
thf(f21034,plain,
( ~ spl2_219
| ~ spl2_185
| ~ spl2_224
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f21033,f11472,f6504,f5329,f6420]) ).
thf(f21036,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_315 ),
inference(constrained_superposition,[],[f8505,f2675]) ).
thf(f21037,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_315 ),
inference(constrained_superposition,[],[f8505,f134]) ).
thf(f21040,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f21036]) ).
thf(f21044,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f21037]) ).
thf(f21045,plain,
( $false
| ~ spl2_112
| ~ spl2_120
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f21040,f2570]) ).
thf(f21046,plain,
( ~ spl2_112
| ~ spl2_120
| ~ spl2_315 ),
inference(avatar_contradiction_clause,[],[f21045]) ).
thf(f21048,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_133
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f21044,f3339]) ).
thf(f21049,plain,
( $false
| ~ spl2_112
| spl2_133
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f21048,f2570]) ).
thf(f21050,plain,
( ~ spl2_112
| spl2_133
| ~ spl2_315 ),
inference(avatar_contradiction_clause,[],[f21049]) ).
thf(f21061,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_428 ),
inference(constrained_superposition,[],[f12781,f49]) ).
thf(f21062,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_428 ),
inference(constrained_superposition,[],[f12781,f134]) ).
thf(f21066,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_428 ),
inference(trivial_inequality_removal,[],[f21062]) ).
thf(f21070,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_428 ),
inference(trivial_inequality_removal,[],[f21061]) ).
thf(f21074,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f368,f10565]) ).
thf(f21082,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_37
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f21074]) ).
thf(f21140,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f7830,f134]) ).
thf(f21145,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f21140]) ).
thf(f21160,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_437 ),
inference(constrained_superposition,[],[f13947,f134]) ).
thf(f21165,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_437 ),
inference(trivial_inequality_removal,[],[f21160]) ).
thf(f21189,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f1946,f10565]) ).
thf(f21195,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f21189]) ).
thf(f21214,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_226
| ~ spl2_392 ),
inference(constrained_superposition,[],[f10314,f6512]) ).
thf(f21239,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f21214]) ).
thf(f21254,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95
| ~ spl2_158 ),
inference(constrained_superposition,[],[f4203,f2612]) ).
thf(f21257,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_95
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f21254]) ).
thf(f21272,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_428
| ~ spl2_433 ),
inference(constrained_superposition,[],[f12781,f13295]) ).
thf(f21283,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_428
| ~ spl2_433 ),
inference(trivial_inequality_removal,[],[f21272]) ).
thf(f21294,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_152 ),
inference(avatar_component_clause,[],[f4178]) ).
thf(f21296,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_97 ),
inference(avatar_component_clause,[],[f2516]) ).
thf(f21297,plain,
( spl2_417
| ~ spl2_97
| ~ spl2_428
| ~ spl2_433 ),
inference(avatar_split_clause,[],[f21283,f13294,f12780,f2516,f11942]) ).
thf(f21363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95
| ~ spl2_158 ),
inference(constrained_superposition,[],[f21257,f1523]) ).
thf(f21365,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_95
| ~ spl2_158 ),
inference(constrained_superposition,[],[f21257,f63]) ).
thf(f21373,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f21363]) ).
thf(f21374,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f21365]) ).
thf(f21380,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_29
| ~ spl2_95
| ~ spl2_158 ),
inference(forward_subsumption_resolution,[],[f21373,f18764]) ).
thf(f21381,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_95
| ~ spl2_158 ),
inference(forward_subsumption_resolution,[],[f21374,f195]) ).
thf(f21382,plain,
( spl2_135
| ~ spl2_29
| ~ spl2_95
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f21380,f4202,f2509,f256,f3345]) ).
thf(f21383,plain,
( $false
| ~ spl2_4
| ~ spl2_95
| spl2_97
| ~ spl2_158 ),
inference(forward_subsumption_resolution,[],[f21381,f21296]) ).
thf(f21384,plain,
( ~ spl2_4
| ~ spl2_95
| spl2_97
| ~ spl2_158 ),
inference(avatar_contradiction_clause,[],[f21383]) ).
thf(f21411,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_80
| ~ spl2_188 ),
inference(constrained_superposition,[],[f1968,f5380]) ).
thf(f21426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_80
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f21411]) ).
thf(f21432,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f6420]) ).
thf(f21434,plain,
( spl2_26
| spl2_219
| ~ spl2_80
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f21426,f5379,f1967,f6420,f230]) ).
thf(f21477,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_224
| ~ spl2_285 ),
inference(constrained_superposition,[],[f7561,f6505]) ).
thf(f21491,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f21477]) ).
thf(f21495,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f21491,f5306]) ).
thf(f21497,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(constrained_superposition,[],[f21495,f1523]) ).
thf(f21499,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(constrained_superposition,[],[f21495,f64]) ).
thf(f21501,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f21499]) ).
thf(f21504,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f21497]) ).
thf(f21505,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_118
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f21501,f5205]) ).
thf(f21508,plain,
( spl2_194
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f21504,f7560,f6504,f5305,f5401]) ).
thf(f21509,plain,
( spl2_194
| spl2_118
| ~ spl2_179
| ~ spl2_224
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f21505,f7560,f6504,f5305,f2666,f5401]) ).
thf(f21510,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_237 ),
inference(constrained_superposition,[],[f3109,f6925]) ).
thf(f21522,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f21510]) ).
thf(f21540,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_292 ),
inference(constrained_superposition,[],[f7650,f6527]) ).
thf(f21541,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_228
| ~ spl2_292 ),
inference(constrained_superposition,[],[f7650,f6520]) ).
thf(f21548,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f21540]) ).
thf(f21555,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_228
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f21541]) ).
thf(f21560,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_228
| ~ spl2_292
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f21555,f9922]) ).
thf(f21569,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_228
| ~ spl2_292
| ~ spl2_358 ),
inference(constrained_superposition,[],[f21560,f1523]) ).
thf(f21573,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_228
| ~ spl2_292
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f21569]) ).
thf(f21577,plain,
( spl2_354
| ~ spl2_228
| ~ spl2_292
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f21573,f9533,f7649,f6519,f9518]) ).
thf(f21586,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_354
| ~ spl2_397 ),
inference(constrained_superposition,[],[f10907,f9519]) ).
thf(f21591,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_354
| ~ spl2_397 ),
inference(trivial_inequality_removal,[],[f21586]) ).
thf(f21600,plain,
( $false
| ~ spl2_112
| ~ spl2_354
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f21591,f2570]) ).
thf(f21601,plain,
( ~ spl2_112
| ~ spl2_354
| ~ spl2_397 ),
inference(avatar_contradiction_clause,[],[f21600]) ).
thf(f21610,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_366 ),
inference(constrained_superposition,[],[f368,f9575]) ).
thf(f21612,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_75
| ~ spl2_366 ),
inference(constrained_superposition,[],[f1946,f9575]) ).
thf(f21640,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f21612]) ).
thf(f21644,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_37
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f21610]) ).
thf(f21649,plain,
( ~ spl2_367
| ~ spl2_368
| ~ spl2_75
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f21640,f9574,f1945,f9739,f9734]) ).
thf(f21655,plain,
( ~ spl2_149
| ~ spl2_131
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f21522,f6924,f3108,f4168]) ).
thf(f21656,plain,
( ~ spl2_13
| spl2_185
| ~ spl2_428 ),
inference(avatar_split_clause,[],[f21066,f12780,f5329,f165]) ).
thf(f21659,plain,
( ~ spl2_217
| ~ spl2_146
| ~ spl2_75
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f21195,f4189,f2666,f1945,f4159,f6407]) ).
thf(f21662,plain,
( ~ spl2_13
| spl2_306
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f20988,f12069,f8205,f165]) ).
thf(f21664,plain,
( spl2_362
| ~ spl2_13
| ~ spl2_437 ),
inference(avatar_split_clause,[],[f21165,f13946,f165,f9556]) ).
thf(f21672,plain,
( spl2_185
| ~ spl2_45
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f21145,f7829,f618,f5329]) ).
thf(f21673,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_118
| spl2_155
| ~ spl2_224
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f21014,f10565]) ).
thf(f21674,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f20117,f195]) ).
thf(f21675,plain,
( ~ spl2_45
| spl2_107
| ~ spl2_56
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f20557,f2569,f880,f2551,f618]) ).
thf(f21676,plain,
( ~ spl2_45
| spl2_133
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f20971,f3108,f3338,f618]) ).
thf(f21679,plain,
( ~ spl2_153
| ~ spl2_217
| ~ spl2_37
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f21082,f4189,f2666,f367,f6407,f4182]) ).
thf(f21682,definition,
( spl2_478
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_478])],[avatar_definition]) ).
thf(f21683,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_478 ),
inference(avatar_component_clause,[],[f21682]) ).
thf(f21684,plain,
( ~ spl2_478
| ~ spl2_153
| ~ spl2_230
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f21548,f7649,f6526,f4182,f21682]) ).
thf(f21685,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_226
| ~ spl2_366
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f21239,f9575]) ).
thf(f21691,plain,
( ~ spl2_239
| spl2_118
| spl2_155
| ~ spl2_224
| ~ spl2_392 ),
inference(avatar_split_clause,[],[f21673,f10313,f6504,f4189,f2666,f6932]) ).
thf(f21692,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_25
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f21674,f228]) ).
thf(f21693,plain,
( ~ spl2_350
| ~ spl2_226
| ~ spl2_366
| ~ spl2_392 ),
inference(avatar_split_clause,[],[f21685,f10313,f9574,f6511,f9504]) ).
thf(f21697,plain,
( spl2_147
| ~ spl2_4
| ~ spl2_25
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f21692,f6390,f227,f92,f4162]) ).
thf(f21708,plain,
( ~ spl2_33
| spl2_188
| ~ spl2_6
| ~ spl2_392 ),
inference(avatar_split_clause,[],[f20167,f10313,f99,f5379,f318]) ).
thf(f21710,plain,
( ~ spl2_6
| spl2_373
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f19318,f11461,f9765,f99]) ).
thf(f21717,plain,
( spl2_179
| ~ spl2_1
| ~ spl2_428 ),
inference(avatar_split_clause,[],[f21070,f12780,f75,f5305]) ).
thf(f21776,plain,
( ~ spl2_368
| ~ spl2_358
| ~ spl2_37
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f21644,f9574,f367,f9533,f9739]) ).
thf(f21784,plain,
( ~ spl2_4
| ~ spl2_17
| ~ spl2_95
| ~ spl2_235 ),
inference(avatar_split_clause,[],[f19681,f6863,f2509,f179,f92]) ).
thf(f21795,plain,
( $false
| ~ spl2_196
| ~ spl2_198
| ~ spl2_421 ),
inference(forward_subsumption_resolution,[],[f20762,f12040]) ).
thf(f21796,plain,
( ~ spl2_196
| ~ spl2_198
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f21795]) ).
thf(f21844,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_120 ),
inference(constrained_superposition,[],[f224,f2675]) ).
thf(f21850,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f21844]) ).
thf(f21858,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_179 ),
inference(constrained_superposition,[],[f8771,f27]) ).
thf(f21859,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_179 ),
inference(trivial_inequality_removal,[],[f21858]) ).
thf(f21860,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_179 ),
inference(forward_subsumption_resolution,[],[f21859,f48]) ).
thf(f21861,plain,
( spl2_205
| spl2_179 ),
inference(avatar_split_clause,[],[f21860,f5305,f5948]) ).
thf(f21886,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_50
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f787,f10565]) ).
thf(f21887,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_50
| ~ spl2_366 ),
inference(constrained_superposition,[],[f787,f9575]) ).
thf(f21890,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_50
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f21887]) ).
thf(f21891,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_50
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f21886]) ).
thf(f21897,plain,
( ~ spl2_350
| ~ spl2_50
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f21890,f9574,f786,f9504]) ).
thf(f21898,plain,
( ~ spl2_239
| ~ spl2_50
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f21891,f4189,f2666,f786,f6932]) ).
thf(f22005,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_112 ),
inference(constrained_superposition,[],[f202,f2570]) ).
thf(f22010,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_22
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f22005]) ).
thf(f22015,plain,
( $false
| ~ spl2_22
| ~ spl2_97
| ~ spl2_112 ),
inference(forward_subsumption_resolution,[],[f22010,f2517]) ).
thf(f22016,plain,
( ~ spl2_22
| ~ spl2_97
| ~ spl2_112 ),
inference(avatar_contradiction_clause,[],[f22015]) ).
thf(f22020,definition,
( spl2_480
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_480])],[avatar_definition]) ).
thf(f22021,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_480 ),
inference(avatar_component_clause,[],[f22020]) ).
thf(f22110,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3112,f2570]) ).
thf(f22113,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_112
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f22110]) ).
thf(f22114,plain,
( spl2_20
| ~ spl2_112
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f22113,f3111,f2569,f193]) ).
thf(f22126,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_120
| ~ spl2_339 ),
inference(constrained_superposition,[],[f21850,f9159]) ).
thf(f22139,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_120
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f22126]) ).
thf(f22143,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_24
| spl2_118
| ~ spl2_120
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f22139,f5205]) ).
thf(f22145,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_24
| spl2_118
| ~ spl2_120
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f22143,f48]) ).
thf(f22146,plain,
( spl2_107
| ~ spl2_24
| spl2_118
| ~ spl2_120
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f22145,f9158,f2674,f2666,f223,f2551]) ).
thf(f22170,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f22172,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f22170]) ).
thf(f22174,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f22172,f48]) ).
thf(f22179,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| spl2_97 ),
inference(constrained_superposition,[],[f72,f22174]) ).
thf(f22193,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f22179]) ).
thf(f22202,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_24
| spl2_97
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f22193,f21850]) ).
thf(f22206,plain,
( spl2_127
| ~ spl2_24
| spl2_97
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f22202,f2674,f2516,f223,f3015]) ).
thf(f22219,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_157 ),
inference(constrained_superposition,[],[f13585,f4196]) ).
thf(f22225,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f22219]) ).
thf(f22228,plain,
( spl2_306
| ~ spl2_24
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f22225,f4195,f223,f8205]) ).
thf(f22386,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_185
| ~ spl2_264 ),
inference(constrained_superposition,[],[f7143,f5330]) ).
thf(f22391,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_185
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f22386]) ).
thf(f22513,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7028,f5394]) ).
thf(f22516,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f22513]) ).
thf(f22522,plain,
( $false
| ~ spl2_102
| ~ spl2_192
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f22516,f2534]) ).
thf(f22523,plain,
( ~ spl2_102
| ~ spl2_192
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f22522]) ).
thf(f22730,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f125,f6512]) ).
thf(f22742,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f22730]) ).
thf(f22758,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f125,f6520]) ).
thf(f22760,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f625,f6520]) ).
thf(f22772,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f22760]) ).
thf(f22774,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f22758]) ).
thf(f22815,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_345
| ~ spl2_452 ),
inference(constrained_superposition,[],[f15480,f9487]) ).
thf(f22822,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_345
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f22815]) ).
thf(f22825,plain,
( $false
| ~ spl2_120
| ~ spl2_345
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f22822,f2675]) ).
thf(f22826,plain,
( ~ spl2_120
| ~ spl2_345
| ~ spl2_452 ),
inference(avatar_contradiction_clause,[],[f22825]) ).
thf(f22861,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_427 ),
inference(constrained_superposition,[],[f12566,f1523]) ).
thf(f22865,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_427 ),
inference(constrained_superposition,[],[f12566,f133]) ).
thf(f22867,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_427 ),
inference(constrained_superposition,[],[f12566,f62]) ).
thf(f22870,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f22867]) ).
thf(f22873,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f22861]) ).
thf(f22875,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f22865]) ).
thf(f22914,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_347
| ~ spl2_361 ),
inference(constrained_superposition,[],[f9553,f9494]) ).
thf(f22919,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_347
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f22914]) ).
thf(f22924,plain,
( $false
| ~ spl2_147
| ~ spl2_347
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f22919,f4163]) ).
thf(f22925,plain,
( ~ spl2_147
| ~ spl2_347
| ~ spl2_361 ),
inference(avatar_contradiction_clause,[],[f22924]) ).
thf(f22930,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_242 ),
inference(constrained_superposition,[],[f6944,f5278]) ).
thf(f22933,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_242 ),
inference(constrained_superposition,[],[f6944,f63]) ).
thf(f22936,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f22930]) ).
thf(f22941,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f22933]) ).
thf(f22942,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_242
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f22936,f10013]) ).
thf(f22943,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_102
| ~ spl2_242 ),
inference(forward_subsumption_resolution,[],[f22941,f2534]) ).
thf(f22944,plain,
( ~ spl2_350
| ~ spl2_178
| ~ spl2_242
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f22942,f10012,f6943,f5277,f9504]) ).
thf(f22945,plain,
( ~ spl2_6
| spl2_159
| ~ spl2_102
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f22943,f6943,f2533,f4207,f99]) ).
thf(f22954,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_228
| ~ spl2_323 ),
inference(constrained_superposition,[],[f8768,f6520]) ).
thf(f22964,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_228
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f22954]) ).
thf(f22966,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_228
| ~ spl2_323
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f22964,f9557]) ).
thf(f22967,plain,
( ~ spl2_350
| ~ spl2_228
| ~ spl2_323
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f22966,f9556,f8767,f6519,f9504]) ).
thf(f22989,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_353
| ~ spl2_456 ),
inference(constrained_superposition,[],[f15532,f9515]) ).
thf(f22991,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f22989]) ).
thf(f22996,plain,
( $false
| ~ spl2_205
| ~ spl2_353
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f22991,f5949]) ).
thf(f22997,plain,
( ~ spl2_205
| ~ spl2_353
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f22996]) ).
thf(f23031,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5398,f63]) ).
thf(f23038,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f23031]) ).
thf(f23041,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_102
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f23038,f2534]) ).
thf(f23043,plain,
( ~ spl2_6
| spl2_196
| ~ spl2_102
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f23041,f5397,f2533,f5409,f99]) ).
thf(f23047,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_238 ),
inference(constrained_superposition,[],[f6929,f6505]) ).
thf(f23053,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f23047]) ).
thf(f23064,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_228
| ~ spl2_319 ),
inference(constrained_superposition,[],[f8737,f6520]) ).
thf(f23069,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_228
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f23064]) ).
thf(f23080,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_412 ),
inference(constrained_superposition,[],[f11777,f6512]) ).
thf(f23083,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_412 ),
inference(constrained_superposition,[],[f11777,f63]) ).
thf(f23090,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_226
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f23080]) ).
thf(f23091,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f23083]) ).
thf(f23097,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_221
| ~ spl2_224 ),
inference(constrained_superposition,[],[f6434,f6505]) ).
thf(f23105,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_221
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f23097]) ).
thf(f23114,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_226
| ~ spl2_387 ),
inference(constrained_superposition,[],[f10269,f6512]) ).
thf(f23118,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_387 ),
inference(constrained_superposition,[],[f10269,f62]) ).
thf(f23121,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f23114]) ).
thf(f23124,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f23118]) ).
thf(f23130,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_382 ),
inference(avatar_component_clause,[],[f10087]) ).
thf(f23131,plain,
( ~ spl2_382
| ~ spl2_350
| ~ spl2_226
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f23121,f10268,f6511,f9504,f10087]) ).
thf(f23132,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_382 ),
inference(constrained_superposition,[],[f23130,f1523]) ).
thf(f23135,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_382 ),
inference(constrained_superposition,[],[f23130,f27]) ).
thf(f23137,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_382 ),
inference(trivial_inequality_removal,[],[f23132]) ).
thf(f23139,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_382 ),
inference(trivial_inequality_removal,[],[f23135]) ).
thf(f23141,plain,
( spl2_354
| spl2_382 ),
inference(avatar_split_clause,[],[f23137,f10087,f9518]) ).
thf(f23143,plain,
( spl2_354
| spl2_470
| spl2_382 ),
inference(avatar_split_clause,[],[f23139,f10087,f19066,f9518]) ).
thf(f23203,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_246 ),
inference(constrained_superposition,[],[f7013,f5278]) ).
thf(f23209,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f23203]) ).
thf(f23215,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_321 ),
inference(avatar_component_clause,[],[f8752]) ).
thf(f23217,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_246
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f23209,f10088]) ).
thf(f23218,plain,
( ~ spl2_367
| ~ spl2_178
| ~ spl2_246
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f23217,f10087,f7012,f5277,f9734]) ).
thf(f23219,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_321 ),
inference(constrained_superposition,[],[f23215,f1523]) ).
thf(f23222,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_321 ),
inference(constrained_superposition,[],[f23215,f27]) ).
thf(f23223,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_321 ),
inference(trivial_inequality_removal,[],[f23219]) ).
thf(f23225,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_321 ),
inference(trivial_inequality_removal,[],[f23222]) ).
thf(f23227,plain,
( spl2_194
| spl2_321 ),
inference(avatar_split_clause,[],[f23223,f8752,f5401]) ).
thf(f23229,plain,
( spl2_417
| spl2_194
| spl2_321 ),
inference(avatar_split_clause,[],[f23225,f8752,f5401,f11942]) ).
thf(f23275,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_189
| ~ spl2_228 ),
inference(constrained_superposition,[],[f5383,f6520]) ).
thf(f23285,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_189
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f23275]) ).
thf(f23290,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_175
| ~ spl2_415 ),
inference(constrained_superposition,[],[f11789,f5268]) ).
thf(f23291,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_226
| ~ spl2_415 ),
inference(constrained_superposition,[],[f11789,f6512]) ).
thf(f23297,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_415 ),
inference(trivial_inequality_removal,[],[f23291]) ).
thf(f23300,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_415 ),
inference(trivial_inequality_removal,[],[f23290]) ).
thf(f23308,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_230
| ~ spl2_293 ),
inference(constrained_superposition,[],[f7708,f6527]) ).
thf(f23315,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f23308]) ).
thf(f23321,plain,
( ~ spl2_146
| ~ spl2_478
| ~ spl2_230
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f23315,f7707,f6526,f21682,f4159]) ).
thf(f23327,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_228
| ~ spl2_399 ),
inference(constrained_superposition,[],[f10978,f6520]) ).
thf(f23329,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_399 ),
inference(constrained_superposition,[],[f10978,f133]) ).
thf(f23335,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f23329]) ).
thf(f23339,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_228
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f23327]) ).
thf(f23348,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_431 ),
inference(constrained_superposition,[],[f12830,f6512]) ).
thf(f23350,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_362
| ~ spl2_431 ),
inference(constrained_superposition,[],[f12830,f9557]) ).
thf(f23358,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_226
| ~ spl2_431 ),
inference(trivial_inequality_removal,[],[f23348]) ).
thf(f23359,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_362
| ~ spl2_431 ),
inference(trivial_inequality_removal,[],[f23350]) ).
thf(f23368,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_185
| ~ spl2_400 ),
inference(constrained_superposition,[],[f11046,f5330]) ).
thf(f23373,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_185
| ~ spl2_400 ),
inference(trivial_inequality_removal,[],[f23368]) ).
thf(f23378,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_118
| spl2_155
| ~ spl2_185
| ~ spl2_400 ),
inference(forward_subsumption_resolution,[],[f23373,f10565]) ).
thf(f23379,plain,
( ~ spl2_17
| spl2_118
| spl2_155
| ~ spl2_185
| ~ spl2_400 ),
inference(avatar_split_clause,[],[f23378,f11045,f5329,f4189,f2666,f179]) ).
thf(f23382,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_403 ),
inference(constrained_superposition,[],[f11215,f1523]) ).
thf(f23387,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_403 ),
inference(constrained_superposition,[],[f11215,f62]) ).
thf(f23391,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_403 ),
inference(trivial_inequality_removal,[],[f23382]) ).
thf(f23395,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_403 ),
inference(trivial_inequality_removal,[],[f23387]) ).
thf(f23403,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_396 ),
inference(constrained_superposition,[],[f10676,f6505]) ).
thf(f23404,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_396 ),
inference(constrained_superposition,[],[f10676,f5278]) ).
thf(f23408,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f23403]) ).
thf(f23410,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f23404]) ).
thf(f23416,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_321
| ~ spl2_396 ),
inference(forward_subsumption_resolution,[],[f23408,f8753]) ).
thf(f23417,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_382
| ~ spl2_396 ),
inference(forward_subsumption_resolution,[],[f23410,f10088]) ).
thf(f23418,plain,
( $false
| ~ spl2_185
| ~ spl2_224
| ~ spl2_321
| ~ spl2_396 ),
inference(forward_subsumption_resolution,[],[f23416,f5330]) ).
thf(f23419,plain,
( ~ spl2_185
| ~ spl2_224
| ~ spl2_321
| ~ spl2_396 ),
inference(avatar_contradiction_clause,[],[f23418]) ).
thf(f23420,plain,
( $false
| ~ spl2_178
| ~ spl2_362
| ~ spl2_382
| ~ spl2_396 ),
inference(forward_subsumption_resolution,[],[f23417,f9557]) ).
thf(f23421,plain,
( ~ spl2_178
| ~ spl2_362
| ~ spl2_382
| ~ spl2_396 ),
inference(avatar_contradiction_clause,[],[f23420]) ).
thf(f23422,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| ~ spl2_362
| ~ spl2_431 ),
inference(forward_subsumption_resolution,[],[f23359,f228]) ).
thf(f23423,plain,
( ~ spl2_179
| ~ spl2_321
| ~ spl2_226
| ~ spl2_431 ),
inference(avatar_split_clause,[],[f23358,f12829,f6511,f8752,f5305]) ).
thf(f23428,plain,
( ~ spl2_219
| ~ spl2_174
| ~ spl2_224
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f23053,f6928,f6504,f5263,f6420]) ).
thf(f23431,plain,
( ~ spl2_219
| spl2_373
| spl2_278
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f22742,f6511,f7472,f9765,f6420]) ).
thf(f23433,plain,
( ~ spl2_273
| ~ spl2_321
| ~ spl2_228
| ~ spl2_399 ),
inference(avatar_split_clause,[],[f23339,f10977,f6519,f8752,f7450]) ).
thf(f23434,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_185
| ~ spl2_226
| ~ spl2_415 ),
inference(forward_subsumption_resolution,[],[f23297,f5330]) ).
thf(f23437,definition,
( spl2_481
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_481])],[avatar_definition]) ).
thf(f23438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_481 ),
inference(avatar_component_clause,[],[f23437]) ).
thf(f23440,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_306 ),
inference(avatar_component_clause,[],[f8205]) ).
thf(f23441,plain,
( ~ spl2_217
| ~ spl2_306
| ~ spl2_175
| ~ spl2_415 ),
inference(avatar_split_clause,[],[f23300,f11788,f5267,f8205,f6407]) ).
thf(f23443,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_185
| ~ spl2_226
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f23090,f5330]) ).
thf(f23444,plain,
( ~ spl2_133
| spl2_345
| ~ spl2_17
| ~ spl2_399 ),
inference(avatar_split_clause,[],[f23335,f10977,f179,f9486,f3338]) ).
thf(f23448,plain,
( ~ spl2_6
| ~ spl2_146
| spl2_188
| ~ spl2_403 ),
inference(avatar_split_clause,[],[f23395,f11214,f5379,f4159,f99]) ).
thf(f23451,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_118
| spl2_155
| ~ spl2_221
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f23105,f10565]) ).
thf(f23455,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_97
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f23124,f22174]) ).
thf(f23457,plain,
( spl2_205
| ~ spl2_185
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f22391,f7142,f5329,f5948]) ).
thf(f23458,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_192
| ~ spl2_403 ),
inference(forward_subsumption_resolution,[],[f23391,f5394]) ).
thf(f23459,plain,
( ~ spl2_6
| spl2_157
| ~ spl2_33
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f22870,f12565,f318,f4195,f99]) ).
thf(f23460,plain,
( ~ spl2_133
| ~ spl2_25
| ~ spl2_362
| ~ spl2_431 ),
inference(avatar_split_clause,[],[f23422,f12829,f9556,f227,f3338]) ).
thf(f23463,plain,
( ~ spl2_219
| ~ spl2_185
| ~ spl2_226
| ~ spl2_415 ),
inference(avatar_split_clause,[],[f23434,f11788,f6511,f5329,f6420]) ).
thf(f23468,plain,
( ~ spl2_273
| ~ spl2_185
| ~ spl2_226
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f23443,f11776,f6511,f5329,f7450]) ).
thf(f23470,plain,
( ~ spl2_217
| spl2_118
| spl2_155
| ~ spl2_221
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f23451,f6504,f6433,f4189,f2666,f6407]) ).
thf(f23471,plain,
( spl2_188
| ~ spl2_6
| spl2_97
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f23455,f10268,f2516,f99,f5379]) ).
thf(f23472,plain,
( spl2_194
| ~ spl2_98
| ~ spl2_192
| ~ spl2_403 ),
inference(avatar_split_clause,[],[f23458,f11214,f5393,f2520,f5401]) ).
thf(f23474,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_377 ),
inference(avatar_component_clause,[],[f10012]) ).
thf(f23477,plain,
( ~ spl2_377
| ~ spl2_368
| ~ spl2_189
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f23285,f6519,f5382,f9739,f10012]) ).
thf(f23479,plain,
( spl2_196
| spl2_369
| ~ spl2_368
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f22774,f6519,f9739,f9742,f5409]) ).
thf(f23481,plain,
( spl2_205
| ~ spl2_350
| spl2_406
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f22772,f6519,f11461,f9504,f5948]) ).
thf(f23482,plain,
( ~ spl2_362
| ~ spl2_368
| ~ spl2_228
| ~ spl2_319 ),
inference(avatar_split_clause,[],[f23069,f8736,f6519,f9739,f9556]) ).
thf(f23488,plain,
( $false
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f166,f231]) ).
thf(f23489,plain,
( ~ spl2_13
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f23488]) ).
thf(f23578,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_154
| ~ spl2_159 ),
inference(constrained_superposition,[],[f4186,f4208]) ).
thf(f23585,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_154
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f23578]) ).
thf(f23588,plain,
( $false
| ~ spl2_154
| ~ spl2_159
| ~ spl2_421 ),
inference(forward_subsumption_resolution,[],[f23585,f12040]) ).
thf(f23589,plain,
( ~ spl2_154
| ~ spl2_159
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f23588]) ).
thf(f23754,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f637,f21432]) ).
thf(f23762,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f23754]) ).
thf(f23907,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_120
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6549,f2675]) ).
thf(f23913,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_120
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f23907]) ).
thf(f23917,plain,
( $false
| ~ spl2_13
| ~ spl2_120
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f23913,f166]) ).
thf(f23918,plain,
( ~ spl2_13
| ~ spl2_120
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f23917]) ).
thf(f23969,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_366 ),
inference(constrained_superposition,[],[f372,f9575]) ).
thf(f23991,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f23969]) ).
thf(f24000,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_358
| ~ spl2_366 ),
inference(forward_subsumption_resolution,[],[f23991,f9922]) ).
thf(f24004,plain,
( ~ spl2_350
| ~ spl2_38
| ~ spl2_358
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f24000,f9574,f9533,f371,f9504]) ).
thf(f24007,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f202,f9487]) ).
thf(f24012,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f24007]) ).
thf(f24015,plain,
( $false
| ~ spl2_22
| ~ spl2_345
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f24012,f9766]) ).
thf(f24016,plain,
( ~ spl2_22
| ~ spl2_345
| ~ spl2_373 ),
inference(avatar_contradiction_clause,[],[f24015]) ).
thf(f24073,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f224,f15997]) ).
thf(f24078,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f24073]) ).
thf(f24081,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f24078,f51]) ).
thf(f24084,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f24081]) ).
thf(f24086,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f24084,f48]) ).
thf(f24121,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f3109,f49]) ).
thf(f24126,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f24121]) ).
thf(f24144,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f125,f10088]) ).
thf(f24159,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f24144]) ).
thf(f24172,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_382
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f24159,f24086]) ).
thf(f24177,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_24
| spl2_97
| ~ spl2_382
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f24172,f21296]) ).
thf(f24180,plain,
( spl2_369
| ~ spl2_24
| spl2_97
| ~ spl2_382
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f24177,f15483,f10087,f2516,f223,f9742]) ).
thf(f24184,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_230
| ~ spl2_319 ),
inference(constrained_superposition,[],[f8737,f6527]) ).
thf(f24191,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_230
| ~ spl2_427 ),
inference(constrained_superposition,[],[f12566,f6527]) ).
thf(f24201,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_230
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f24184]) ).
thf(f24210,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_230
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f24191]) ).
thf(f24216,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_230
| ~ spl2_306
| ~ spl2_319 ),
inference(forward_subsumption_resolution,[],[f24201,f8206]) ).
thf(f24222,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_202
| ~ spl2_230
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f24210,f5938]) ).
thf(f24224,plain,
( ~ spl2_217
| ~ spl2_230
| ~ spl2_306
| ~ spl2_319 ),
inference(avatar_split_clause,[],[f24216,f8736,f8205,f6526,f6407]) ).
thf(f24227,plain,
( ~ spl2_273
| ~ spl2_202
| ~ spl2_230
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f24222,f12565,f6526,f5937,f7450]) ).
thf(f24244,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| spl2_377 ),
inference(constrained_superposition,[],[f23474,f135]) ).
thf(f24249,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_377 ),
inference(trivial_inequality_removal,[],[f24244]) ).
thf(f24251,definition,
( spl2_484
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_484])],[avatar_definition]) ).
thf(f24252,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_484 ),
inference(avatar_component_clause,[],[f24251]) ).
thf(f24255,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_377 ),
inference(forward_subsumption_resolution,[],[f24249,f48]) ).
thf(f24256,plain,
( spl2_484
| spl2_377 ),
inference(avatar_split_clause,[],[f24255,f10012,f24251]) ).
thf(f24258,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_130
| ~ spl2_484 ),
inference(constrained_superposition,[],[f3089,f24252]) ).
thf(f24262,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_130
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f24258]) ).
thf(f24269,definition,
( spl2_485
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_485])],[avatar_definition]) ).
thf(f24270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_485 ),
inference(avatar_component_clause,[],[f24269]) ).
thf(f24275,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_130
| ~ spl2_484 ),
inference(constrained_superposition,[],[f24262,f51]) ).
thf(f24277,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_130
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f24275]) ).
thf(f24387,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_233 ),
inference(constrained_superposition,[],[f6743,f133]) ).
thf(f24389,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_233 ),
inference(constrained_superposition,[],[f6743,f62]) ).
thf(f24393,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f24387]) ).
thf(f24397,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f24389]) ).
thf(f24406,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_382 ),
inference(constrained_superposition,[],[f2671,f10088]) ).
thf(f24411,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_119
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f24406]) ).
thf(f24423,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_321
| ~ spl2_481 ),
inference(constrained_superposition,[],[f23438,f8753]) ).
thf(f24424,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_382
| ~ spl2_481 ),
inference(constrained_superposition,[],[f23438,f10088]) ).
thf(f24434,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_321
| ~ spl2_481 ),
inference(trivial_inequality_removal,[],[f24423]) ).
thf(f24436,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_382
| ~ spl2_481 ),
inference(trivial_inequality_removal,[],[f24424]) ).
thf(f24438,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_182
| ~ spl2_227 ),
inference(constrained_superposition,[],[f5317,f6515]) ).
thf(f24441,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_227 ),
inference(constrained_superposition,[],[f57,f6515]) ).
thf(f24443,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f24441]) ).
thf(f24445,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_182
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f24438]) ).
thf(f24449,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_179
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f24443,f8771]) ).
thf(f24450,plain,
( spl2_376
| ~ spl2_182
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f24445,f6514,f5316,f9992]) ).
thf(f24451,plain,
( spl2_376
| spl2_198
| spl2_179
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f24449,f6514,f5305,f5430,f9992]) ).
thf(f24457,plain,
( $false
| ~ spl2_229
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f6523,f9993]) ).
thf(f24458,plain,
( ~ spl2_229
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f24457]) ).
thf(f24472,plain,
( spl2_366
| spl2_180
| ~ spl2_130
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f24277,f24251,f3088,f5308,f9574]) ).
thf(f24473,plain,
( ~ spl2_367
| ~ spl2_350
| ~ spl2_382
| ~ spl2_481 ),
inference(avatar_split_clause,[],[f24436,f23437,f10087,f9504,f9734]) ).
thf(f24475,plain,
( spl2_187
| ~ spl2_4
| spl2_419
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f23762,f6420,f12030,f92,f5337]) ).
thf(f24480,plain,
( $false
| ~ spl2_130
| ~ spl2_345
| ~ spl2_484 ),
inference(forward_subsumption_resolution,[],[f9487,f24262]) ).
thf(f24481,plain,
( ~ spl2_130
| ~ spl2_345
| ~ spl2_484 ),
inference(avatar_contradiction_clause,[],[f24480]) ).
thf(f24495,plain,
( spl2_373
| ~ spl2_18
| ~ spl2_6
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f23091,f11776,f99,f182,f9765]) ).
thf(f24496,plain,
( ~ spl2_220
| ~ spl2_273
| ~ spl2_321
| ~ spl2_481 ),
inference(avatar_split_clause,[],[f24434,f23437,f8752,f7450,f6424]) ).
thf(f24502,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f24,f195]) ).
thf(f24508,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f24502]) ).
thf(f24614,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f224,f4169]) ).
thf(f24620,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f24614]) ).
thf(f24622,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f24620,f51]) ).
thf(f24624,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f24622]) ).
thf(f24626,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f24624,f48]) ).
thf(f24628,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f625,f24626]) ).
thf(f24631,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f637,f24626]) ).
thf(f24640,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f24631]) ).
thf(f24644,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f24628]) ).
thf(f24649,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f24640,f195]) ).
thf(f24652,plain,
( spl2_421
| ~ spl2_239
| spl2_286
| ~ spl2_24
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f24644,f4168,f223,f7566,f6932,f12039]) ).
thf(f24653,plain,
( spl2_147
| spl2_419
| ~ spl2_4
| ~ spl2_24
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f24649,f4168,f223,f92,f12030,f4162]) ).
thf(f24666,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f604,f5323]) ).
thf(f24672,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f24666]) ).
thf(f24678,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_183
| spl2_306 ),
inference(forward_subsumption_resolution,[],[f24672,f23440]) ).
thf(f24680,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_120
| ~ spl2_183
| spl2_306 ),
inference(forward_subsumption_resolution,[],[f24678,f2675]) ).
thf(f24681,plain,
( spl2_268
| ~ spl2_120
| ~ spl2_183
| spl2_306 ),
inference(avatar_split_clause,[],[f24680,f8205,f5322,f2674,f7223]) ).
thf(f24690,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f152,f5330]) ).
thf(f24694,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f59,f5330]) ).
thf(f24708,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f24694]) ).
thf(f24709,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f24690]) ).
thf(f24779,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_23
| ~ spl2_102 ),
inference(constrained_superposition,[],[f210,f2534]) ).
thf(f24786,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_23
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f24779]) ).
thf(f24821,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_48
| ~ spl2_362 ),
inference(constrained_superposition,[],[f698,f9557]) ).
thf(f24822,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_362
| ~ spl2_412 ),
inference(constrained_superposition,[],[f11777,f9557]) ).
thf(f24824,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_362 ),
inference(constrained_superposition,[],[f152,f9557]) ).
thf(f24829,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_362
| ~ spl2_395 ),
inference(constrained_superposition,[],[f10453,f9557]) ).
thf(f24838,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f24824]) ).
thf(f24844,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_362
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f24822]) ).
thf(f24848,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_362
| ~ spl2_395 ),
inference(trivial_inequality_removal,[],[f24829]) ).
thf(f24852,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_48
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f24821]) ).
thf(f24868,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_366
| ~ spl2_440 ),
inference(constrained_superposition,[],[f14515,f9575]) ).
thf(f24876,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_366
| ~ spl2_440 ),
inference(trivial_inequality_removal,[],[f24868]) ).
thf(f25039,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f152,f5268]) ).
thf(f25058,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f25039]) ).
thf(f25067,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_118
| spl2_155
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f25058,f10565]) ).
thf(f25070,plain,
( spl2_346
| spl2_345
| spl2_118
| spl2_155
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f25067,f5267,f4189,f2666,f9486,f9489]) ).
thf(f25074,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f57,f5275]) ).
thf(f25079,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f25074]) ).
thf(f25106,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_102 ),
inference(constrained_superposition,[],[f24508,f2534]) ).
thf(f25109,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f25106]) ).
thf(f25116,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f152,f6512]) ).
thf(f25131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f25116]) ).
thf(f25142,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_202
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f25131,f5938]) ).
thf(f25146,definition,
( spl2_490
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_490])],[avatar_definition]) ).
thf(f25147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_490 ),
inference(avatar_component_clause,[],[f25146]) ).
thf(f25148,plain,
( spl2_490
| spl2_345
| ~ spl2_202
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f25142,f6511,f5937,f9486,f25146]) ).
thf(f25190,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_187
| ~ spl2_329 ),
inference(constrained_superposition,[],[f8997,f5338]) ).
thf(f25195,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_187
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f25190]) ).
thf(f25196,plain,
( $false
| ~ spl2_103
| ~ spl2_187
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f25195,f2538]) ).
thf(f25197,plain,
( ~ spl2_103
| ~ spl2_187
| ~ spl2_329 ),
inference(avatar_contradiction_clause,[],[f25196]) ).
thf(f25307,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_235
| ~ spl2_382 ),
inference(constrained_superposition,[],[f6864,f10088]) ).
thf(f25312,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_235
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f25307]) ).
thf(f25320,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_480 ),
inference(constrained_superposition,[],[f22021,f1523]) ).
thf(f25329,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_480 ),
inference(trivial_inequality_removal,[],[f25320]) ).
thf(f25362,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_392 ),
inference(constrained_superposition,[],[f10314,f1523]) ).
thf(f25373,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f25362]) ).
thf(f25399,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_490 ),
inference(constrained_superposition,[],[f25147,f5268]) ).
thf(f25401,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_377
| ~ spl2_490 ),
inference(constrained_superposition,[],[f25147,f10013]) ).
thf(f25402,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_362
| ~ spl2_490 ),
inference(constrained_superposition,[],[f25147,f9557]) ).
thf(f25405,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_362
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f25402]) ).
thf(f25409,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f25399]) ).
thf(f25411,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_377
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f25401]) ).
thf(f25412,plain,
( $false
| ~ spl2_185
| ~ spl2_362
| ~ spl2_490 ),
inference(forward_subsumption_resolution,[],[f25405,f5330]) ).
thf(f25413,plain,
( ~ spl2_185
| ~ spl2_362
| ~ spl2_490 ),
inference(avatar_contradiction_clause,[],[f25412]) ).
thf(f25415,plain,
( $false
| ~ spl2_175
| ~ spl2_230
| ~ spl2_490 ),
inference(forward_subsumption_resolution,[],[f25409,f6527]) ).
thf(f25416,plain,
( ~ spl2_175
| ~ spl2_230
| ~ spl2_490 ),
inference(avatar_contradiction_clause,[],[f25415]) ).
thf(f25417,plain,
( $false
| ~ spl2_174
| ~ spl2_377
| ~ spl2_490 ),
inference(forward_subsumption_resolution,[],[f25411,f5264]) ).
thf(f25418,plain,
( ~ spl2_174
| ~ spl2_377
| ~ spl2_490 ),
inference(avatar_contradiction_clause,[],[f25417]) ).
thf(f25419,plain,
( ~ spl2_35
| spl2_345
| spl2_418
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f24838,f9556,f12023,f9486,f325]) ).
thf(f25423,plain,
( ~ spl2_358
| ~ spl2_368
| ~ spl2_119
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f24411,f10087,f2670,f9739,f9533]) ).
thf(f25425,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_235
| ~ spl2_362
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f25312,f9557]) ).
thf(f25427,plain,
( ~ spl2_17
| ~ spl2_35
| ~ spl2_362
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f24844,f11776,f9556,f325,f179]) ).
thf(f25430,plain,
( spl2_358
| spl2_322
| spl2_374
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f25079,f5274,f9924,f8759,f9533]) ).
thf(f25432,plain,
( ~ spl2_35
| ~ spl2_17
| ~ spl2_366
| ~ spl2_440 ),
inference(avatar_split_clause,[],[f24876,f14514,f9574,f179,f325]) ).
thf(f25435,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_155
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f22875,f8197]) ).
thf(f25441,plain,
( spl2_95
| ~ spl2_12
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f24126,f3108,f161,f2509]) ).
thf(f25443,plain,
( ~ spl2_368
| ~ spl2_235
| ~ spl2_362
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f25425,f10087,f9556,f6863,f9739]) ).
thf(f25445,plain,
( ~ spl2_17
| ~ spl2_35
| spl2_155
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f25435,f12565,f4189,f325,f179]) ).
thf(f25448,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f257,f49]) ).
thf(f25449,plain,
( ! [X0: $i] :
( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f25448]) ).
thf(f25462,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f125,f25449]) ).
thf(f25475,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_235 ),
inference(constrained_superposition,[],[f6864,f25449]) ).
thf(f25515,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f25462]) ).
thf(f25518,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_235 ),
inference(trivial_inequality_removal,[],[f25475]) ).
thf(f25522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f25515,f195]) ).
thf(f25524,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_29
| ~ spl2_235 ),
inference(forward_subsumption_resolution,[],[f25518,f195]) ).
thf(f25527,definition,
( spl2_491
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_491])],[avatar_definition]) ).
thf(f25528,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_491 ),
inference(avatar_component_clause,[],[f25527]) ).
thf(f25529,plain,
( spl2_491
| spl2_39
| ~ spl2_4
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f25522,f256,f92,f375,f25527]) ).
thf(f25530,plain,
( ~ spl2_17
| ~ spl2_4
| ~ spl2_29
| ~ spl2_235 ),
inference(avatar_split_clause,[],[f25524,f6863,f256,f92,f179]) ).
thf(f25531,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| ~ spl2_24 ),
inference(constrained_superposition,[],[f224,f162]) ).
thf(f25535,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f25531]) ).
thf(f25742,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_231
| ~ spl2_268 ),
inference(constrained_superposition,[],[f7224,f6530]) ).
thf(f25743,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231
| ~ spl2_271 ),
inference(constrained_superposition,[],[f7253,f6530]) ).
thf(f25746,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_231
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f25742]) ).
thf(f25748,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f25743]) ).
thf(f25751,plain,
( spl2_393
| ~ spl2_231
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f25746,f7223,f6529,f10342]) ).
thf(f25752,plain,
( $false
| ~ spl2_194
| ~ spl2_231
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f25748,f5402]) ).
thf(f25753,plain,
( ~ spl2_194
| ~ spl2_231
| ~ spl2_271 ),
inference(avatar_contradiction_clause,[],[f25752]) ).
thf(f25755,plain,
( spl2_353
| ~ spl2_358
| ~ spl2_48
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f24852,f9556,f697,f9533,f9514]) ).
thf(f25757,plain,
( ~ spl2_98
| ~ spl2_95
| ~ spl2_23
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f24786,f2533,f209,f2509,f2520]) ).
thf(f25758,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_480 ),
inference(forward_subsumption_resolution,[],[f25329,f2534]) ).
thf(f25759,plain,
( ~ spl2_368
| ~ spl2_350
| ~ spl2_362
| ~ spl2_395 ),
inference(avatar_split_clause,[],[f24848,f10452,f9556,f9504,f9739]) ).
thf(f25760,plain,
( ~ spl2_98
| ~ spl2_114
| spl2_237
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f22873,f12565,f6924,f2577,f2520]) ).
thf(f25761,plain,
( spl2_123
| ~ spl2_98
| ~ spl2_4
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f25109,f2533,f92,f2520,f2687]) ).
thf(f25764,plain,
( ~ spl2_114
| ~ spl2_98
| spl2_194
| ~ spl2_392 ),
inference(avatar_split_clause,[],[f25373,f10313,f5401,f2520,f2577]) ).
thf(f25765,plain,
( ~ spl2_98
| spl2_194
| ~ spl2_102
| ~ spl2_480 ),
inference(avatar_split_clause,[],[f25758,f22020,f2533,f5401,f2520]) ).
thf(f25870,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_114 ),
inference(constrained_superposition,[],[f12321,f7275]) ).
thf(f25873,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f625,f7275]) ).
thf(f25886,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f25870]) ).
thf(f25893,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f25873]) ).
thf(f25898,plain,
( ~ spl2_98
| spl2_123
| ~ spl2_25
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f25886,f2577,f227,f2687,f2520]) ).
thf(f25900,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| spl2_77
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f25893,f1954]) ).
thf(f25902,plain,
( ~ spl2_98
| spl2_123
| spl2_77
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f25900,f2577,f1953,f2687,f2520]) ).
thf(f25982,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_174
| ~ spl2_233 ),
inference(constrained_superposition,[],[f6743,f5264]) ).
thf(f26003,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_174
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f25982]) ).
thf(f26055,definition,
( spl2_492
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_492])],[avatar_definition]) ).
thf(f26056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_492 ),
inference(avatar_component_clause,[],[f26055]) ).
thf(f26148,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_189
| ~ spl2_230 ),
inference(constrained_superposition,[],[f5383,f6527]) ).
thf(f26165,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_189
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f26148]) ).
thf(f26193,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_132
| ~ spl2_484 ),
inference(constrained_superposition,[],[f3112,f24252]) ).
thf(f26198,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_132
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f26193]) ).
thf(f26201,plain,
( spl2_376
| ~ spl2_132
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f26198,f24251,f3111,f9992]) ).
thf(f26280,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_208
| ~ spl2_484 ),
inference(constrained_superposition,[],[f6020,f24252]) ).
thf(f26283,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_208
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f26280]) ).
thf(f26287,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_208
| ~ spl2_484 ),
inference(constrained_superposition,[],[f26283,f51]) ).
thf(f26290,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_208
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f26287]) ).
thf(f26292,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_208
| ~ spl2_484 ),
inference(forward_subsumption_resolution,[],[f26290,f48]) ).
thf(f26299,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_208
| ~ spl2_484 ),
inference(constrained_superposition,[],[f24508,f26292]) ).
thf(f26300,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_208
| ~ spl2_484 ),
inference(constrained_superposition,[],[f210,f26292]) ).
thf(f26313,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_208
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f26300]) ).
thf(f26317,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_208
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f26299]) ).
thf(f26325,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_208
| ~ spl2_358
| ~ spl2_484 ),
inference(forward_subsumption_resolution,[],[f26313,f9922]) ).
thf(f26327,plain,
( ~ spl2_350
| spl2_406
| ~ spl2_4
| ~ spl2_208
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f26317,f24251,f6019,f92,f11461,f9504]) ).
thf(f26330,plain,
( ~ spl2_350
| ~ spl2_23
| ~ spl2_208
| ~ spl2_358
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f26325,f24251,f9533,f6019,f209,f9504]) ).
thf(f26335,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_232
| ~ spl2_354 ),
inference(constrained_superposition,[],[f6549,f9519]) ).
thf(f26343,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_232
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f26335]) ).
thf(f26346,plain,
( $false
| ~ spl2_232
| ~ spl2_354
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f26343,f9766]) ).
thf(f26347,plain,
( ~ spl2_232
| ~ spl2_354
| ~ spl2_373 ),
inference(avatar_contradiction_clause,[],[f26346]) ).
thf(f26389,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f224,f15997]) ).
thf(f26392,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f26389]) ).
thf(f26402,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f26392,f51]) ).
thf(f26404,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f26402]) ).
thf(f26406,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f26404,f48]) ).
thf(f26409,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f210,f26406]) ).
thf(f26410,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f625,f26406]) ).
thf(f26422,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f26409]) ).
thf(f26423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f26410]) ).
thf(f26431,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_24
| ~ spl2_358
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f26422,f9922]) ).
thf(f26432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_12
| ~ spl2_24
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f26423,f25535]) ).
thf(f26437,plain,
( ~ spl2_350
| ~ spl2_23
| ~ spl2_24
| ~ spl2_358
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f26431,f15483,f9533,f223,f209,f9504]) ).
thf(f26438,plain,
( spl2_406
| ~ spl2_350
| ~ spl2_12
| ~ spl2_24
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f26432,f15483,f223,f161,f9504,f11461]) ).
thf(f26497,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_377
| ~ spl2_412 ),
inference(constrained_superposition,[],[f11777,f10013]) ).
thf(f26504,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_233
| ~ spl2_377 ),
inference(constrained_superposition,[],[f6743,f10013]) ).
thf(f26516,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_377
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f26497]) ).
thf(f26525,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_233
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f26504]) ).
thf(f26528,definition,
( spl2_494
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_494])],[avatar_definition]) ).
thf(f26529,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_494 ),
inference(avatar_component_clause,[],[f26528]) ).
thf(f26537,plain,
( ~ spl2_368
| ~ spl2_350
| ~ spl2_233
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f26525,f10012,f6742,f9504,f9739]) ).
thf(f26542,plain,
( ~ spl2_98
| ~ spl2_133
| ~ spl2_377
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f26516,f11776,f10012,f3338,f2520]) ).
thf(f26646,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_377
| ~ spl2_406 ),
inference(constrained_superposition,[],[f11462,f10013]) ).
thf(f26651,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_377
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f26646]) ).
thf(f26657,plain,
( ~ spl2_98
| ~ spl2_377
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f26651,f11461,f10012,f2520]) ).
thf(f26793,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f57,f24252]) ).
thf(f26796,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f26793]) ).
thf(f26807,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_354
| ~ spl2_360 ),
inference(constrained_superposition,[],[f9550,f9519]) ).
thf(f26809,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_354
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f26807]) ).
thf(f26812,plain,
( spl2_139
| ~ spl2_354
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f26809,f9549,f9518,f3493]) ).
thf(f26816,plain,
( spl2_116
| spl2_95
| spl2_376
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f26796,f24251,f9992,f2509,f2614]) ).
thf(f26822,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| ~ spl2_419 ),
inference(constrained_superposition,[],[f12031,f2612]) ).
thf(f26834,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_95
| ~ spl2_419 ),
inference(trivial_inequality_removal,[],[f26822]) ).
thf(f26844,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| spl2_118
| ~ spl2_419 ),
inference(forward_subsumption_resolution,[],[f26834,f5205]) ).
thf(f26848,plain,
( spl2_97
| ~ spl2_95
| spl2_118
| ~ spl2_419 ),
inference(avatar_split_clause,[],[f26844,f12030,f2666,f2509,f2516]) ).
thf(f26983,plain,
( ~ spl2_217
| ~ spl2_192
| ~ spl2_189
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f26165,f6526,f5382,f5393,f6407]) ).
thf(f27090,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f202,f4190]) ).
thf(f27095,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f27090]) ).
thf(f27097,plain,
( $false
| ~ spl2_22
| ~ spl2_155
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f27095,f4208]) ).
thf(f27098,plain,
( ~ spl2_22
| ~ spl2_155
| ~ spl2_159 ),
inference(avatar_contradiction_clause,[],[f27097]) ).
thf(f27099,plain,
( ~ spl2_219
| ~ spl2_273
| ~ spl2_174
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f26003,f6742,f5263,f7450,f6420]) ).
thf(f27103,plain,
( ~ spl2_35
| spl2_211
| spl2_223
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f24709,f5329,f6458,f6033,f325]) ).
thf(f27108,plain,
( spl2_323
| spl2_187
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f24708,f5329,f5337,f8767]) ).
thf(f27135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f24,f8390]) ).
thf(f27154,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_35 ),
inference(duplicate_literal_removal,[],[f27135]) ).
thf(f27155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f27154]) ).
thf(f27158,plain,
( spl2_312
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f27155,f325,f8417]) ).
thf(f27170,plain,
( spl2_106
| ~ spl2_6
| ~ spl2_8
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f24397,f6742,f105,f99,f2547]) ).
thf(f27178,definition,
( spl2_497
<=> ! [X1: $i] :
( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_497])],[avatar_definition]) ).
thf(f27179,plain,
( ! [X1: $i] :
( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_497 ),
inference(avatar_component_clause,[],[f27178]) ).
thf(f27181,plain,
( ~ spl2_18
| spl2_112
| ~ spl2_17
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f24393,f6742,f179,f2569,f182]) ).
thf(f27196,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_118
| spl2_134 ),
inference(constrained_superposition,[],[f3343,f2667]) ).
thf(f27199,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_118
| spl2_153 ),
inference(constrained_superposition,[],[f4214,f2667]) ).
thf(f27200,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_118
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5410,f2667]) ).
thf(f27201,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_118
| ~ spl2_230 ),
inference(constrained_superposition,[],[f6527,f2667]) ).
thf(f27202,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_114
| ~ spl2_118 ),
inference(constrained_superposition,[],[f7275,f2667]) ).
thf(f27262,plain,
( ~ spl2_8
| ~ spl2_118
| spl2_134 ),
inference(avatar_split_clause,[],[f27196,f3342,f2666,f105]) ).
thf(f27265,plain,
( spl2_133
| ~ spl2_118
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f27201,f6526,f2666,f3338]) ).
thf(f27266,plain,
( $false
| spl2_33
| ~ spl2_114
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f27202,f319]) ).
thf(f27267,plain,
( spl2_33
| ~ spl2_114
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f27266]) ).
thf(f27268,plain,
( $false
| ~ spl2_25
| ~ spl2_118
| spl2_153 ),
inference(forward_subsumption_resolution,[],[f27199,f228]) ).
thf(f27269,plain,
( ~ spl2_25
| ~ spl2_118
| spl2_153 ),
inference(avatar_contradiction_clause,[],[f27268]) ).
thf(f27277,plain,
( spl2_97
| ~ spl2_118
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f27200,f5409,f2666,f2516]) ).
thf(f27318,definition,
( spl2_500
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_500])],[avatar_definition]) ).
thf(f27319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_500 ),
inference(avatar_component_clause,[],[f27318]) ).
thf(f27365,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f604,f25528]) ).
thf(f27369,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f27365]) ).
thf(f27371,plain,
( ~ spl2_15
| spl2_46
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f27369,f25527,f621,f172]) ).
thf(f27378,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_18 ),
inference(constrained_superposition,[],[f24508,f2850]) ).
thf(f27379,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| ~ spl2_23 ),
inference(constrained_superposition,[],[f210,f2850]) ).
thf(f27390,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f27378]) ).
thf(f27398,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f27379]) ).
thf(f27400,plain,
( ~ spl2_17
| spl2_50
| ~ spl2_4
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f27390,f182,f92,f786,f179]) ).
thf(f27405,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_18
| ~ spl2_23
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f27398,f228]) ).
thf(f27407,plain,
( ~ spl2_17
| ~ spl2_18
| ~ spl2_23
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f27405,f227,f209,f182,f179]) ).
thf(f27541,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f625,f21432]) ).
thf(f27555,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f27541]) ).
thf(f27562,plain,
( spl2_274
| spl2_421
| ~ spl2_273
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f27555,f6420,f7450,f12039,f7453]) ).
thf(f27593,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_97
| ~ spl2_116 ),
inference(constrained_superposition,[],[f2615,f2517]) ).
thf(f27602,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f27593]) ).
thf(f27645,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_211 ),
inference(constrained_superposition,[],[f202,f6422]) ).
thf(f27650,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_22
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f27645]) ).
thf(f27653,plain,
( $false
| ~ spl2_22
| ~ spl2_196
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f27650,f5410]) ).
thf(f27654,plain,
( ~ spl2_22
| ~ spl2_196
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f27653]) ).
thf(f27674,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f202,f4190]) ).
thf(f27678,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f27674]) ).
thf(f27683,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f27678,f51]) ).
thf(f27687,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f27683]) ).
thf(f27690,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_22
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f27687,f48]) ).
thf(f27696,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f59,f27690]) ).
thf(f27705,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f27696]) ).
thf(f27756,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_121
| ~ spl2_133 ),
inference(constrained_superposition,[],[f2679,f6237]) ).
thf(f27759,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_121
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f27756]) ).
thf(f27764,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_12
| ~ spl2_121
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f27759,f615]) ).
thf(f27769,plain,
( $false
| spl2_12
| ~ spl2_121
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f27764,f48]) ).
thf(f27770,plain,
( spl2_12
| ~ spl2_121
| ~ spl2_133 ),
inference(avatar_contradiction_clause,[],[f27769]) ).
thf(f27782,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f224,f4169]) ).
thf(f27785,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f27782]) ).
thf(f27790,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(constrained_superposition,[],[f27785,f51]) ).
thf(f27792,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f27790]) ).
thf(f27794,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_24
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f27792,f48]) ).
thf(f27849,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f152,f5394]) ).
thf(f27868,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f27849]) ).
thf(f27884,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_202 ),
inference(constrained_superposition,[],[f12321,f5938]) ).
thf(f27907,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_25
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f27884]) ).
thf(f27917,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_478 ),
inference(constrained_superposition,[],[f21683,f1523]) ).
thf(f27919,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_478 ),
inference(constrained_superposition,[],[f21683,f64]) ).
thf(f27922,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_478 ),
inference(trivial_inequality_removal,[],[f27917]) ).
thf(f27924,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_478 ),
inference(trivial_inequality_removal,[],[f27919]) ).
thf(f27926,plain,
( spl2_237
| spl2_478 ),
inference(avatar_split_clause,[],[f27922,f21682,f6924]) ).
thf(f27928,plain,
( spl2_237
| spl2_28
| spl2_478 ),
inference(avatar_split_clause,[],[f27924,f21682,f242,f6924]) ).
thf(f27934,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_373 ),
inference(constrained_superposition,[],[f604,f9766]) ).
thf(f27939,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f27934]) ).
thf(f27941,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_15
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f27939,f173]) ).
thf(f27942,plain,
( spl2_362
| spl2_360
| ~ spl2_15
| ~ spl2_373 ),
inference(avatar_split_clause,[],[f27941,f9765,f172,f9549,f9556]) ).
thf(f27981,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_155
| ~ spl2_245 ),
inference(constrained_superposition,[],[f6968,f4190]) ).
thf(f27984,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_155
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f27981]) ).
thf(f28044,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_25
| ~ spl2_366 ),
inference(constrained_superposition,[],[f12321,f9575]) ).
thf(f28047,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_366 ),
inference(constrained_superposition,[],[f625,f9575]) ).
thf(f28048,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_366 ),
inference(constrained_superposition,[],[f59,f9575]) ).
thf(f28060,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f28047]) ).
thf(f28065,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f28048]) ).
thf(f28066,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f28044]) ).
thf(f28070,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_77
| ~ spl2_366 ),
inference(forward_subsumption_resolution,[],[f28060,f1954]) ).
thf(f28073,plain,
( ~ spl2_350
| spl2_406
| ~ spl2_25
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f28066,f9574,f227,f11461,f9504]) ).
thf(f28075,plain,
( ~ spl2_350
| spl2_406
| spl2_77
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f28070,f9574,f1953,f11461,f9504]) ).
thf(f28084,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f224,f15997]) ).
thf(f28089,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f28084]) ).
thf(f28092,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f28089,f51]) ).
thf(f28094,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f28092]) ).
thf(f28096,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f28094,f48]) ).
thf(f28098,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_24
| ~ spl2_453 ),
inference(constrained_superposition,[],[f24508,f28096]) ).
thf(f28110,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_24
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f28098]) ).
thf(f28121,plain,
( ~ spl2_350
| spl2_406
| ~ spl2_4
| ~ spl2_24
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f28110,f15483,f223,f92,f11461,f9504]) ).
thf(f28291,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_230
| ~ spl2_278 ),
inference(constrained_superposition,[],[f7473,f6527]) ).
thf(f28298,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_230
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f28291]) ).
thf(f28302,plain,
( $false
| ~ spl2_24
| ~ spl2_149
| ~ spl2_230
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f28298,f27794]) ).
thf(f28303,plain,
( ~ spl2_24
| ~ spl2_149
| ~ spl2_230
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f28302]) ).
thf(f28305,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_297 ),
inference(constrained_superposition,[],[f7738,f49]) ).
thf(f28313,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f28305]) ).
thf(f28350,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f152,f5278]) ).
thf(f28351,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f125,f5278]) ).
thf(f28353,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f625,f5278]) ).
thf(f28354,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f59,f5278]) ).
thf(f28363,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f28354]) ).
thf(f28364,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f28350]) ).
thf(f28365,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f28351]) ).
thf(f28371,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f28353]) ).
thf(f28376,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_24
| ~ spl2_178
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f28365,f28096]) ).
thf(f28380,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_24
| ~ spl2_155
| ~ spl2_178
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f28376,f27678]) ).
thf(f28381,plain,
( spl2_369
| ~ spl2_22
| ~ spl2_24
| ~ spl2_155
| ~ spl2_178
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f28380,f15483,f5277,f4189,f223,f201,f9742]) ).
thf(f28384,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_188
| ~ spl2_304 ),
inference(constrained_superposition,[],[f8102,f5380]) ).
thf(f28387,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_188
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f28384]) ).
thf(f28390,plain,
( $false
| ~ spl2_13
| ~ spl2_188
| ~ spl2_304 ),
inference(forward_subsumption_resolution,[],[f28387,f166]) ).
thf(f28391,plain,
( ~ spl2_13
| ~ spl2_188
| ~ spl2_304 ),
inference(avatar_contradiction_clause,[],[f28390]) ).
thf(f28450,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_155
| ~ spl2_337 ),
inference(constrained_superposition,[],[f9102,f4190]) ).
thf(f28455,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_337 ),
inference(constrained_superposition,[],[f9102,f4163]) ).
thf(f28459,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_147
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f28455]) ).
thf(f28461,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_155
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f28450]) ).
thf(f28467,plain,
( $false
| ~ spl2_147
| spl2_306
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f28459,f23440]) ).
thf(f28468,plain,
( ~ spl2_147
| spl2_306
| ~ spl2_337 ),
inference(avatar_contradiction_clause,[],[f28467]) ).
thf(f28469,plain,
( $false
| ~ spl2_155
| spl2_306
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f28461,f23440]) ).
thf(f28470,plain,
( ~ spl2_155
| spl2_306
| ~ spl2_337 ),
inference(avatar_contradiction_clause,[],[f28469]) ).
thf(f28477,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_230
| ~ spl2_328 ),
inference(constrained_superposition,[],[f8925,f6527]) ).
thf(f28478,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_228
| ~ spl2_328 ),
inference(constrained_superposition,[],[f8925,f6520]) ).
thf(f28480,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_185
| ~ spl2_328 ),
inference(constrained_superposition,[],[f8925,f5330]) ).
thf(f28483,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f28477]) ).
thf(f28485,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_185
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f28480]) ).
thf(f28489,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_228
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f28478]) ).
thf(f28490,plain,
( ~ spl2_478
| ~ spl2_230
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f28483,f8924,f6526,f21682]) ).
thf(f28491,plain,
( $false
| ~ spl2_133
| ~ spl2_185
| ~ spl2_328 ),
inference(forward_subsumption_resolution,[],[f28485,f6237]) ).
thf(f28492,plain,
( ~ spl2_133
| ~ spl2_185
| ~ spl2_328 ),
inference(avatar_contradiction_clause,[],[f28491]) ).
thf(f28493,plain,
( $false
| ~ spl2_228
| ~ spl2_328
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f28489,f10088]) ).
thf(f28494,plain,
( ~ spl2_228
| ~ spl2_328
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f28493]) ).
thf(f28496,plain,
( ~ spl2_12
| ~ spl2_155
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f27984,f6967,f4189,f161]) ).
thf(f28501,plain,
( ~ spl2_273
| spl2_274
| ~ spl2_25
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f27907,f5937,f227,f7453,f7450]) ).
thf(f28503,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_153
| ~ spl2_297 ),
inference(forward_subsumption_resolution,[],[f28313,f4214]) ).
thf(f28504,plain,
( spl2_440
| spl2_12
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f28065,f9574,f161,f14514]) ).
thf(f28507,plain,
( ~ spl2_12
| spl2_153
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f28503,f7737,f4182,f161]) ).
thf(f28510,plain,
( spl2_147
| spl2_405
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f28363,f5277,f11258,f4162]) ).
thf(f28512,plain,
( spl2_436
| spl2_147
| ~ spl2_22
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f27705,f4189,f201,f4162,f13933]) ).
thf(f28605,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_219 ),
inference(constrained_superposition,[],[f24508,f21432]) ).
thf(f28606,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_23
| ~ spl2_219 ),
inference(constrained_superposition,[],[f210,f21432]) ).
thf(f28607,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f625,f21432]) ).
thf(f28617,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f28606]) ).
thf(f28622,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f28607]) ).
thf(f28625,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f28605]) ).
thf(f28627,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_23
| ~ spl2_179
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f28617,f5306]) ).
thf(f28629,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_116
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f28622,f27602]) ).
thf(f28632,plain,
( spl2_274
| ~ spl2_273
| ~ spl2_4
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f28625,f6420,f92,f7450,f7453]) ).
thf(f28633,plain,
( ~ spl2_273
| ~ spl2_23
| ~ spl2_179
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f28627,f6420,f5305,f209,f7450]) ).
thf(f28634,plain,
( ~ spl2_273
| spl2_274
| ~ spl2_97
| ~ spl2_116
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f28629,f6420,f2614,f2516,f7453,f7450]) ).
thf(f28638,plain,
( spl2_241
| spl2_155
| ~ spl2_114
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f27868,f5393,f2577,f4189,f6939]) ).
thf(f28639,plain,
( spl2_13
| ~ spl2_4
| spl2_39
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f12322,f227,f375,f92,f165]) ).
thf(f28645,plain,
( spl2_346
| spl2_155
| ~ spl2_366
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f28364,f5277,f9574,f4189,f9489]) ).
thf(f28658,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(constrained_superposition,[],[f1016,f51]) ).
thf(f28661,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f28658]) ).
thf(f28663,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f28661,f48]) ).
thf(f28742,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f28745,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f28742]) ).
thf(f28747,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f28745,f48]) ).
thf(f28801,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_157
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7052,f4196]) ).
thf(f28805,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_157
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f28801]) ).
thf(f28908,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_457 ),
inference(constrained_superposition,[],[f15898,f6237]) ).
thf(f28912,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f28908]) ).
thf(f28919,plain,
( $false
| spl2_13
| ~ spl2_133
| ~ spl2_457 ),
inference(forward_subsumption_resolution,[],[f28912,f28663]) ).
thf(f28920,plain,
( spl2_13
| ~ spl2_133
| ~ spl2_457 ),
inference(avatar_contradiction_clause,[],[f28919]) ).
thf(f29197,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f125,f5268]) ).
thf(f29218,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f29197]) ).
thf(f29339,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f7646,f63]) ).
thf(f29347,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f29339]) ).
thf(f29354,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_436 ),
inference(constrained_superposition,[],[f13934,f6505]) ).
thf(f29357,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_436 ),
inference(trivial_inequality_removal,[],[f29354]) ).
thf(f29364,plain,
( ~ spl2_273
| ~ spl2_220
| ~ spl2_224
| ~ spl2_436 ),
inference(avatar_split_clause,[],[f29357,f13933,f6504,f6424,f7450]) ).
thf(f29374,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_353
| ~ spl2_452 ),
inference(constrained_superposition,[],[f15480,f9515]) ).
thf(f29378,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_353
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f29374]) ).
thf(f29381,plain,
( $false
| ~ spl2_103
| ~ spl2_353
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f29378,f2538]) ).
thf(f29382,plain,
( ~ spl2_103
| ~ spl2_353
| ~ spl2_452 ),
inference(avatar_contradiction_clause,[],[f29381]) ).
thf(f29383,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_347
| ~ spl2_485 ),
inference(constrained_superposition,[],[f24270,f9494]) ).
thf(f29384,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_485 ),
inference(constrained_superposition,[],[f24270,f49]) ).
thf(f29389,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f29384]) ).
thf(f29391,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_347
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f29383]) ).
thf(f29393,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_358
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f29389,f9534]) ).
thf(f29394,plain,
( $false
| ~ spl2_107
| ~ spl2_347
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f29391,f2552]) ).
thf(f29395,plain,
( ~ spl2_107
| ~ spl2_347
| ~ spl2_485 ),
inference(avatar_contradiction_clause,[],[f29394]) ).
thf(f29396,plain,
( $false
| ~ spl2_107
| spl2_358
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f29393,f2552]) ).
thf(f29397,plain,
( ~ spl2_107
| spl2_358
| ~ spl2_485 ),
inference(avatar_contradiction_clause,[],[f29396]) ).
thf(f29427,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_404 ),
inference(constrained_superposition,[],[f11220,f5278]) ).
thf(f29428,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_224
| ~ spl2_404 ),
inference(constrained_superposition,[],[f11220,f6505]) ).
thf(f29431,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_224
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f29428]) ).
thf(f29436,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f29427]) ).
thf(f29443,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_247 ),
inference(constrained_superposition,[],[f7017,f5394]) ).
thf(f29450,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_247 ),
inference(trivial_inequality_removal,[],[f29443]) ).
thf(f29453,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_102
| ~ spl2_192
| ~ spl2_247 ),
inference(forward_subsumption_resolution,[],[f29450,f2534]) ).
thf(f29454,plain,
( $false
| spl2_97
| ~ spl2_102
| ~ spl2_192
| ~ spl2_247 ),
inference(forward_subsumption_resolution,[],[f29453,f28747]) ).
thf(f29455,plain,
( spl2_97
| ~ spl2_102
| ~ spl2_192
| ~ spl2_247 ),
inference(avatar_contradiction_clause,[],[f29454]) ).
thf(f29533,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_407 ),
inference(constrained_superposition,[],[f11473,f5394]) ).
thf(f29540,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f29533]) ).
thf(f29542,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_192
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f29540,f2534]) ).
thf(f29543,plain,
( $false
| ~ spl2_102
| ~ spl2_133
| ~ spl2_192
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f29542,f6237]) ).
thf(f29544,plain,
( ~ spl2_102
| ~ spl2_133
| ~ spl2_192
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f29543]) ).
thf(f29581,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_178
| ~ spl2_238 ),
inference(constrained_superposition,[],[f6929,f5278]) ).
thf(f29585,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f29581]) ).
thf(f29613,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_377
| ~ spl2_492 ),
inference(constrained_superposition,[],[f26056,f10013]) ).
thf(f29620,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_377
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f29613]) ).
thf(f29625,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_97
| ~ spl2_377
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f29620,f28747]) ).
thf(f29626,plain,
( $false
| spl2_97
| ~ spl2_102
| ~ spl2_377
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f29625,f2534]) ).
thf(f29627,plain,
( spl2_97
| ~ spl2_102
| ~ spl2_377
| ~ spl2_492 ),
inference(avatar_contradiction_clause,[],[f29626]) ).
thf(f29630,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_440 ),
inference(constrained_superposition,[],[f14515,f1523]) ).
thf(f29635,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_440 ),
inference(constrained_superposition,[],[f14515,f62]) ).
thf(f29638,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_440 ),
inference(trivial_inequality_removal,[],[f29630]) ).
thf(f29647,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_440 ),
inference(trivial_inequality_removal,[],[f29635]) ).
thf(f29674,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_377
| ~ spl2_415 ),
inference(constrained_superposition,[],[f11789,f10013]) ).
thf(f29679,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_377
| ~ spl2_415 ),
inference(trivial_inequality_removal,[],[f29674]) ).
thf(f29685,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_377
| ~ spl2_415 ),
inference(forward_subsumption_resolution,[],[f29679,f2534]) ).
thf(f29686,plain,
( $false
| ~ spl2_102
| ~ spl2_133
| ~ spl2_377
| ~ spl2_415 ),
inference(forward_subsumption_resolution,[],[f29685,f6237]) ).
thf(f29687,plain,
( ~ spl2_102
| ~ spl2_133
| ~ spl2_377
| ~ spl2_415 ),
inference(avatar_contradiction_clause,[],[f29686]) ).
thf(f29695,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f26529,f63]) ).
thf(f29697,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f29695]) ).
thf(f29704,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_102
| ~ spl2_494 ),
inference(forward_subsumption_resolution,[],[f29697,f2534]) ).
thf(f29705,plain,
( spl2_373
| ~ spl2_6
| ~ spl2_102
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f29704,f26528,f2533,f99,f9765]) ).
thf(f29712,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_352
| ~ spl2_362 ),
inference(constrained_superposition,[],[f9512,f9557]) ).
thf(f29721,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_352
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f29712]) ).
thf(f29722,plain,
( ~ spl2_240
| ~ spl2_17
| ~ spl2_352
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f29721,f9556,f9511,f179,f6935]) ).
thf(f29725,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_405 ),
inference(constrained_superposition,[],[f11259,f1523]) ).
thf(f29730,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_405 ),
inference(constrained_superposition,[],[f11259,f62]) ).
thf(f29737,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_405 ),
inference(trivial_inequality_removal,[],[f29725]) ).
thf(f29741,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_405 ),
inference(trivial_inequality_removal,[],[f29730]) ).
thf(f29746,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_236 ),
inference(constrained_superposition,[],[f6922,f5278]) ).
thf(f29747,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_236 ),
inference(constrained_superposition,[],[f6922,f6505]) ).
thf(f29749,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_236 ),
inference(constrained_superposition,[],[f6922,f63]) ).
thf(f29750,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f29749]) ).
thf(f29753,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f29746]) ).
thf(f29757,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f29747]) ).
thf(f29758,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_97
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f29750,f28747]) ).
thf(f29759,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_236
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f29753,f10013]) ).
thf(f29762,plain,
( $false
| ~ spl2_178
| ~ spl2_236
| ~ spl2_377
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f29759,f10088]) ).
thf(f29763,plain,
( ~ spl2_178
| ~ spl2_236
| ~ spl2_377
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f29762]) ).
thf(f29767,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_174
| ~ spl2_224
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f29757,f5264]) ).
thf(f29768,plain,
( ~ spl2_362
| ~ spl2_350
| ~ spl2_178
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f29436,f11219,f5277,f9504,f9556]) ).
thf(f29770,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_185 ),
inference(avatar_component_clause,[],[f5329]) ).
thf(f29771,plain,
( ~ spl2_273
| ~ spl2_185
| ~ spl2_224
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f29431,f11219,f6504,f5329,f7450]) ).
thf(f29774,plain,
( ~ spl2_102
| spl2_159
| spl2_97
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f29758,f6921,f2516,f4207,f2533]) ).
thf(f29775,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_236
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f29753,f10088]) ).
thf(f29776,plain,
( ~ spl2_321
| ~ spl2_174
| ~ spl2_224
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f29767,f6921,f6504,f5263,f8752]) ).
thf(f29777,plain,
( ~ spl2_377
| ~ spl2_178
| ~ spl2_236
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f29775,f10087,f6921,f5277,f10012]) ).
thf(f29798,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_21
| ~ spl2_149 ),
inference(constrained_superposition,[],[f199,f4169]) ).
thf(f29799,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_21
| ~ spl2_288 ),
inference(constrained_superposition,[],[f199,f7631]) ).
thf(f29804,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_21
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f29799]) ).
thf(f29807,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_21
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f29798]) ).
thf(f29809,plain,
( spl2_393
| ~ spl2_21
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f29804,f7630,f198,f10342]) ).
thf(f29810,plain,
( spl2_322
| ~ spl2_21
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f29807,f4168,f198,f8759]) ).
thf(f29811,plain,
( ~ spl2_13
| ~ spl2_157
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f28805,f7051,f4195,f165]) ).
thf(f29812,plain,
( ~ spl2_377
| ~ spl2_368
| ~ spl2_178
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f29585,f6928,f5277,f9739,f10012]) ).
thf(f29817,plain,
( spl2_196
| ~ spl2_6
| ~ spl2_4
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f29347,f7645,f92,f99,f5409]) ).
thf(f29823,plain,
( ~ spl2_6
| ~ spl2_146
| spl2_349
| ~ spl2_405 ),
inference(avatar_split_clause,[],[f29741,f11258,f9500,f4159,f99]) ).
thf(f29827,plain,
( ~ spl2_33
| spl2_349
| ~ spl2_6
| ~ spl2_440 ),
inference(avatar_split_clause,[],[f29647,f14514,f99,f9500,f318]) ).
thf(f29828,plain,
( spl2_156
| ~ spl2_350
| spl2_406
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f28371,f5277,f11461,f9504,f4192]) ).
thf(f29912,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f264,f49]) ).
thf(f29914,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f29912]) ).
thf(f29985,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_114
| ~ spl2_252 ),
inference(constrained_superposition,[],[f7073,f7275]) ).
thf(f29990,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f59,f7275]) ).
thf(f30006,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f29990]) ).
thf(f30009,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_114
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f29985]) ).
thf(f30035,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_345 ),
inference(constrained_superposition,[],[f29914,f9487]) ).
thf(f30040,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_339 ),
inference(constrained_superposition,[],[f29914,f9159]) ).
thf(f30048,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_31
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f30035]) ).
thf(f30051,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f30040]) ).
thf(f30062,plain,
( spl2_358
| ~ spl2_31
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f30048,f9486,f263,f9533]) ).
thf(f30063,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f30051,f29914]) ).
thf(f30064,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f30063,f48]) ).
thf(f30065,plain,
( spl2_171
| ~ spl2_31
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f30064,f9158,f263,f5203]) ).
thf(f30107,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_155 ),
inference(constrained_superposition,[],[f8197,f51]) ).
thf(f30109,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_155 ),
inference(trivial_inequality_removal,[],[f30107]) ).
thf(f30111,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_118
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f30109,f5205]) ).
thf(f30159,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f637,f21432]) ).
thf(f30173,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f30159]) ).
thf(f30178,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f12321,f30111]) ).
thf(f30181,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f625,f30111]) ).
thf(f30196,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f30178]) ).
thf(f30201,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f30181]) ).
thf(f30205,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f202,f9487]) ).
thf(f30209,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f30205]) ).
thf(f30284,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_202
| ~ spl2_252 ),
inference(constrained_superposition,[],[f7073,f5938]) ).
thf(f30289,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f59,f5938]) ).
thf(f30302,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_202
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f30284]) ).
thf(f30304,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f30289]) ).
thf(f30330,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f30209,f51]) ).
thf(f30332,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f30330]) ).
thf(f30334,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f30332,f48]) ).
thf(f30341,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f625,f30334]) ).
thf(f30357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f30341]) ).
thf(f30541,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f12238,f63]) ).
thf(f30546,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f30541]) ).
thf(f30574,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f7454,f63]) ).
thf(f30578,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f30574]) ).
thf(f30584,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_422 ),
inference(constrained_superposition,[],[f12070,f49]) ).
thf(f30592,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f30584]) ).
thf(f30709,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_225
| ~ spl2_267 ),
inference(constrained_superposition,[],[f7221,f6508]) ).
thf(f30718,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_225
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f30709]) ).
thf(f30720,plain,
( $false
| ~ spl2_173
| ~ spl2_225
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f30718,f5261]) ).
thf(f30721,plain,
( ~ spl2_173
| ~ spl2_225
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f30720]) ).
thf(f30724,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_404 ),
inference(constrained_superposition,[],[f11220,f6505]) ).
thf(f30726,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f152,f6505]) ).
thf(f30727,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f125,f6505]) ).
thf(f30729,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f625,f6505]) ).
thf(f30741,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f30726]) ).
thf(f30745,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_224
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f30724]) ).
thf(f30748,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f30727]) ).
thf(f30750,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f30729]) ).
thf(f30754,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_155
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f30741,f8197]) ).
thf(f30828,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_181
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5314,f6523]) ).
thf(f30833,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f30828]) ).
thf(f30838,plain,
( $false
| ~ spl2_181
| ~ spl2_229
| ~ spl2_484 ),
inference(forward_subsumption_resolution,[],[f30833,f24252]) ).
thf(f30839,plain,
( ~ spl2_181
| ~ spl2_229
| ~ spl2_484 ),
inference(avatar_contradiction_clause,[],[f30838]) ).
thf(f30841,plain,
( spl2_153
| ~ spl2_1
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f30592,f12069,f75,f4182]) ).
thf(f30842,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f30173,f195]) ).
thf(f30843,plain,
( ~ spl2_98
| ~ spl2_212
| ~ spl2_114
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f30009,f7072,f2577,f6042,f2520]) ).
thf(f30849,plain,
( ~ spl2_6
| spl2_39
| spl2_347
| ~ spl2_22
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f30357,f9486,f201,f9493,f375,f99]) ).
thf(f30853,plain,
( spl2_1
| spl2_97
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f30546,f12237,f2516,f75]) ).
thf(f30854,plain,
( spl2_196
| ~ spl2_6
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f30578,f7453,f99,f5409]) ).
thf(f30865,plain,
( spl2_391
| spl2_12
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f30006,f2577,f161,f10309]) ).
thf(f30867,plain,
( ~ spl2_273
| ~ spl2_220
| ~ spl2_202
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f30302,f7072,f5937,f6424,f7450]) ).
thf(f30868,plain,
( spl2_12
| spl2_392
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f30304,f5937,f10313,f161]) ).
thf(f30876,plain,
( spl2_419
| spl2_187
| ~ spl2_4
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f30842,f6420,f92,f5337,f12030]) ).
thf(f30895,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_95
| ~ spl2_171 ),
inference(constrained_superposition,[],[f2510,f5204]) ).
thf(f30898,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_95
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f30895]) ).
thf(f30900,plain,
( $false
| spl2_95
| spl2_118
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f30898,f5205]) ).
thf(f30901,plain,
( spl2_95
| spl2_118
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f30900]) ).
thf(f30904,plain,
( ( $true != $true )
| ~ spl2_139
| ~ spl2_173 ),
inference(constrained_superposition,[],[f3494,f5261]) ).
thf(f30906,plain,
( $false
| ~ spl2_139
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f30904]) ).
thf(f30907,plain,
( ~ spl2_139
| ~ spl2_173 ),
inference(avatar_contradiction_clause,[],[f30906]) ).
thf(f30910,plain,
( ~ spl2_98
| ~ spl2_192
| spl2_354
| ~ spl2_405 ),
inference(avatar_split_clause,[],[f29737,f11258,f9518,f5393,f2520]) ).
thf(f30913,plain,
( ~ spl2_273
| ~ spl2_185
| ~ spl2_224
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f30745,f11219,f6504,f5329,f7450]) ).
thf(f30915,plain,
( ~ spl2_217
| spl2_250
| spl2_373
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f29218,f5267,f9765,f7027,f6407]) ).
thf(f30916,plain,
( ~ spl2_202
| spl2_275
| spl2_155
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f30754,f6504,f4189,f7457,f5937]) ).
thf(f30917,plain,
( spl2_156
| spl2_274
| ~ spl2_273
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f30750,f6504,f7450,f7453,f4192]) ).
thf(f30918,plain,
( spl2_278
| ~ spl2_219
| spl2_159
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f30748,f6504,f4207,f6420,f7472]) ).
thf(f30920,plain,
( ~ spl2_98
| ~ spl2_114
| spl2_354
| ~ spl2_440 ),
inference(avatar_split_clause,[],[f29638,f14514,f9518,f2577,f2520]) ).
thf(f30956,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(constrained_superposition,[],[f1016,f51]) ).
thf(f30958,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f30956]) ).
thf(f30960,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f30958,f48]) ).
thf(f30963,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_13
| ~ spl2_25 ),
inference(constrained_superposition,[],[f12321,f30960]) ).
thf(f30966,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f625,f30960]) ).
thf(f30980,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f30966]) ).
thf(f30984,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_13
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f30963]) ).
thf(f30990,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_13
| spl2_77 ),
inference(forward_subsumption_resolution,[],[f30980,f1954]) ).
thf(f30992,plain,
( ~ spl2_6
| spl2_39
| spl2_13
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f30984,f227,f165,f375,f99]) ).
thf(f30994,plain,
( spl2_39
| ~ spl2_6
| spl2_13
| spl2_77 ),
inference(avatar_split_clause,[],[f30990,f1953,f165,f99,f375]) ).
thf(f30996,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_56
| ~ spl2_106 ),
inference(constrained_superposition,[],[f881,f2548]) ).
thf(f31001,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_56
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f30996]) ).
thf(f31015,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f31017,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f31015]) ).
thf(f31019,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f31017,f48]) ).
thf(f31029,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_97 ),
inference(constrained_superposition,[],[f24,f31019]) ).
thf(f31048,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f31029]) ).
thf(f31123,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f24,f9922]) ).
thf(f31142,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f31123]) ).
thf(f31150,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f604,f5323]) ).
thf(f31156,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f31150]) ).
thf(f31539,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_230
| ~ spl2_278 ),
inference(constrained_superposition,[],[f7473,f6527]) ).
thf(f31547,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_230
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f31539]) ).
thf(f31550,plain,
( ~ spl2_217
| ~ spl2_230
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f31547,f7472,f6526,f6407]) ).
thf(f31574,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f125,f5278]) ).
thf(f31600,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f31574]) ).
thf(f31606,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_267 ),
inference(constrained_superposition,[],[f7221,f49]) ).
thf(f31615,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f31606]) ).
thf(f31745,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_127
| ~ spl2_321 ),
inference(constrained_superposition,[],[f3016,f8753]) ).
thf(f31749,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_95
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3016,f2612]) ).
thf(f31750,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_127
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f31745]) ).
thf(f31759,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_95
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f31749]) ).
thf(f31780,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_485 ),
inference(constrained_superposition,[],[f24270,f134]) ).
thf(f31785,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f31780]) ).
thf(f31789,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_112
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f31785,f2570]) ).
thf(f31792,plain,
( $false
| ~ spl2_112
| spl2_362
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f31789,f15991]) ).
thf(f31793,plain,
( ~ spl2_112
| spl2_362
| ~ spl2_485 ),
inference(avatar_contradiction_clause,[],[f31792]) ).
thf(f31837,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_468 ),
inference(constrained_superposition,[],[f18947,f9515]) ).
thf(f31839,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f31837]) ).
thf(f31843,plain,
( $false
| ~ spl2_156
| ~ spl2_353
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f31839,f4193]) ).
thf(f31844,plain,
( ~ spl2_156
| ~ spl2_353
| ~ spl2_468 ),
inference(avatar_contradiction_clause,[],[f31843]) ).
thf(f31900,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_387 ),
inference(constrained_superposition,[],[f10269,f133]) ).
thf(f31908,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f31900]) ).
thf(f31936,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_97 ),
inference(constrained_superposition,[],[f31048,f1523]) ).
thf(f31951,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f31936]) ).
thf(f31953,plain,
( spl2_96
| spl2_97 ),
inference(avatar_split_clause,[],[f31951,f2516,f2513]) ).
thf(f31961,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_399 ),
inference(constrained_superposition,[],[f10978,f62]) ).
thf(f31970,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f31961]) ).
thf(f31993,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_408 ),
inference(constrained_superposition,[],[f11477,f6505]) ).
thf(f32007,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_408 ),
inference(trivial_inequality_removal,[],[f31993]) ).
thf(f32010,plain,
( ~ spl2_478
| ~ spl2_217
| ~ spl2_224
| ~ spl2_408 ),
inference(avatar_split_clause,[],[f32007,f11476,f6504,f6407,f21682]) ).
thf(f32016,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_358
| ~ spl2_377 ),
inference(constrained_superposition,[],[f31142,f10013]) ).
thf(f32026,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_358
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f32016]) ).
thf(f32028,plain,
( ~ spl2_98
| spl2_123
| ~ spl2_358
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f32026,f10012,f9533,f2687,f2520]) ).
thf(f32036,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_320 ),
inference(constrained_superposition,[],[f8742,f6527]) ).
thf(f32039,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_320 ),
inference(constrained_superposition,[],[f8742,f63]) ).
thf(f32040,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_230
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f32036]) ).
thf(f32042,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f32039]) ).
thf(f32048,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_306
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f32040,f8206]) ).
thf(f32049,plain,
( ~ spl2_478
| ~ spl2_230
| ~ spl2_306
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f32048,f8741,f8205,f6526,f21682]) ).
thf(f32091,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_178
| ~ spl2_467 ),
inference(constrained_superposition,[],[f17436,f5278]) ).
thf(f32103,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f32091]) ).
thf(f32176,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_97
| ~ spl2_388 ),
inference(constrained_superposition,[],[f10273,f31019]) ).
thf(f32178,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| ~ spl2_388 ),
inference(constrained_superposition,[],[f10273,f2612]) ).
thf(f32183,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f32178]) ).
thf(f32187,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_97
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f32176]) ).
thf(f32190,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| ~ spl2_95
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f32183,f228]) ).
thf(f32191,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13
| spl2_97
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f32187,f30960]) ).
thf(f32193,plain,
( spl2_50
| ~ spl2_25
| ~ spl2_95
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f32190,f10272,f2509,f227,f786]) ).
thf(f32194,plain,
( spl2_42
| spl2_13
| spl2_97
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f32191,f10272,f2516,f165,f555]) ).
thf(f32203,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_195
| ~ spl2_228 ),
inference(constrained_superposition,[],[f5405,f6520]) ).
thf(f32207,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f5405,f63]) ).
thf(f32210,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f32207]) ).
thf(f32213,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_195
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f32203]) ).
thf(f32217,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_195
| ~ spl2_228
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f32213,f10013]) ).
thf(f32218,plain,
( $false
| ~ spl2_195
| ~ spl2_228
| ~ spl2_377
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f32217,f10088]) ).
thf(f32219,plain,
( ~ spl2_195
| ~ spl2_228
| ~ spl2_377
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f32218]) ).
thf(f32221,plain,
( ~ spl2_6
| spl2_349
| ~ spl2_212
| ~ spl2_399 ),
inference(avatar_split_clause,[],[f31970,f10977,f6042,f9500,f99]) ).
thf(f32223,plain,
( ~ spl2_13
| spl2_107
| ~ spl2_56
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f31001,f2547,f880,f2551,f165]) ).
thf(f32224,plain,
( ~ spl2_17
| spl2_211
| ~ spl2_133
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f31908,f10268,f3338,f6033,f179]) ).
thf(f32225,plain,
( ~ spl2_478
| ~ spl2_217
| ~ spl2_178
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f32103,f17435,f5277,f6407,f21682]) ).
thf(f32227,plain,
( spl2_159
| spl2_369
| ~ spl2_368
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f31600,f5277,f9739,f9742,f4207]) ).
thf(f32231,plain,
( ~ spl2_219
| ~ spl2_220
| ~ spl2_127
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f31750,f8752,f3015,f6424,f6420]) ).
thf(f32235,plain,
( ~ spl2_4
| ~ spl2_6
| ~ spl2_95
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f31759,f3015,f2509,f99,f92]) ).
thf(f32238,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_107 ),
inference(avatar_component_clause,[],[f2551]) ).
thf(f32239,plain,
( spl2_153
| ~ spl2_107
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f31615,f7220,f2551,f4182]) ).
thf(f32296,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_421 ),
inference(constrained_superposition,[],[f264,f12040]) ).
thf(f32298,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_31
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f32296]) ).
thf(f32300,plain,
( spl2_26
| ~ spl2_31
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f32298,f12039,f263,f230]) ).
thf(f32346,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_179
| ~ spl2_465 ),
inference(constrained_superposition,[],[f16846,f5306]) ).
thf(f32347,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179
| ~ spl2_320 ),
inference(constrained_superposition,[],[f8742,f5306]) ).
thf(f32369,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_179
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f32347]) ).
thf(f32376,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_179
| ~ spl2_465 ),
inference(trivial_inequality_removal,[],[f32346]) ).
thf(f32564,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f202,f9487]) ).
thf(f32568,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f32564]) ).
thf(f32658,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f32568,f51]) ).
thf(f32660,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f32658]) ).
thf(f32662,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f32660,f48]) ).
thf(f32669,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(constrained_superposition,[],[f72,f32662]) ).
thf(f32680,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_22
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f32669]) ).
thf(f32695,plain,
( spl2_349
| spl2_492
| ~ spl2_22
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f32680,f9486,f201,f26055,f9500]) ).
thf(f32704,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f5323]) ).
thf(f32710,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_183
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f32704]) ).
thf(f32971,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f604,f5271]) ).
thf(f32972,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_271 ),
inference(constrained_superposition,[],[f7253,f5271]) ).
thf(f32980,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f32971]) ).
thf(f32981,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f32972]) ).
thf(f32984,plain,
( $false
| ~ spl2_176
| ~ spl2_271
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f32981,f9519]) ).
thf(f32985,plain,
( ~ spl2_176
| ~ spl2_271
| ~ spl2_354 ),
inference(avatar_contradiction_clause,[],[f32984]) ).
thf(f32987,plain,
( spl2_360
| spl2_362
| ~ spl2_149
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f32980,f5270,f4168,f9556,f9549]) ).
thf(f32988,plain,
( ~ spl2_212
| spl2_196
| ~ spl2_102
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f32210,f5404,f2533,f5409,f6042]) ).
thf(f33158,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_185
| ~ spl2_195 ),
inference(constrained_superposition,[],[f5405,f5330]) ).
thf(f33185,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_185
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f33158]) ).
thf(f33197,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_114
| ~ spl2_185
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f33185,f7275]) ).
thf(f33199,plain,
( $false
| ~ spl2_114
| ~ spl2_133
| ~ spl2_185
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f33197,f6237]) ).
thf(f33200,plain,
( ~ spl2_114
| ~ spl2_133
| ~ spl2_185
| ~ spl2_195 ),
inference(avatar_contradiction_clause,[],[f33199]) ).
thf(f33210,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f5261]) ).
thf(f33220,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_173
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f33210]) ).
thf(f33223,plain,
( $false
| ~ spl2_173
| ~ spl2_188
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f33220,f5380]) ).
thf(f33224,plain,
( ~ spl2_173
| ~ spl2_188
| ~ spl2_208 ),
inference(avatar_contradiction_clause,[],[f33223]) ).
thf(f33239,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_71
| ~ spl2_306 ),
inference(constrained_superposition,[],[f1385,f8206]) ).
thf(f33246,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f72,f8206]) ).
thf(f33257,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_71
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f33239]) ).
thf(f33267,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f33246]) ).
thf(f33273,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_183
| ~ spl2_208
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f33267,f32710]) ).
thf(f33275,plain,
( spl2_407
| ~ spl2_183
| ~ spl2_208
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f33273,f8205,f6019,f5322,f11472]) ).
thf(f33430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f152,f8753]) ).
thf(f33431,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f125,f8753]) ).
thf(f33446,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f33430]) ).
thf(f33456,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f33431]) ).
thf(f33560,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f625,f10088]) ).
thf(f33576,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f33560]) ).
thf(f33640,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_345
| ~ spl2_360 ),
inference(constrained_superposition,[],[f9550,f9487]) ).
thf(f33642,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_345
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f33640]) ).
thf(f33646,plain,
( spl2_20
| ~ spl2_345
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f33642,f9549,f9486,f193]) ).
thf(f33647,plain,
( spl2_112
| ~ spl2_202
| spl2_328
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f33446,f8752,f8924,f5937,f2569]) ).
thf(f33649,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_179
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f32376,f195]) ).
thf(f33650,plain,
( spl2_278
| ~ spl2_219
| spl2_97
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f33456,f8752,f2516,f6420,f7472]) ).
thf(f33655,plain,
( spl2_147
| ~ spl2_146
| ~ spl2_71
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f33257,f8205,f1384,f4159,f4162]) ).
thf(f33662,plain,
( ~ spl2_239
| ~ spl2_4
| ~ spl2_179
| ~ spl2_465 ),
inference(avatar_split_clause,[],[f33649,f16845,f5305,f92,f6932]) ).
thf(f33760,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f57,f2570]) ).
thf(f33763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f33760]) ).
thf(f34074,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_358
| ~ spl2_369 ),
inference(constrained_superposition,[],[f9743,f9922]) ).
thf(f34079,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_358
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f34074]) ).
thf(f34086,plain,
( $false
| ~ spl2_4
| ~ spl2_358
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f34079,f195]) ).
thf(f34087,plain,
( ~ spl2_4
| ~ spl2_358
| ~ spl2_369 ),
inference(avatar_contradiction_clause,[],[f34086]) ).
thf(f34093,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_95
| ~ spl2_179
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f32369,f2612]) ).
thf(f34110,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f31156,f2675]) ).
thf(f34111,plain,
( ~ spl2_18
| spl2_196
| ~ spl2_212
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f32042,f8741,f6042,f5409,f182]) ).
thf(f34120,plain,
( ~ spl2_17
| ~ spl2_95
| ~ spl2_179
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f34093,f8741,f5305,f2509,f179]) ).
thf(f34123,plain,
( spl2_268
| spl2_306
| ~ spl2_120
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f34110,f5322,f2674,f8205,f7223]) ).
thf(f34291,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_349 ),
inference(constrained_superposition,[],[f115,f9501]) ).
thf(f34296,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f34291]) ).
thf(f34298,plain,
( $false
| ~ spl2_9
| ~ spl2_347
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f34296,f9494]) ).
thf(f34299,plain,
( ~ spl2_9
| ~ spl2_347
| ~ spl2_349 ),
inference(avatar_contradiction_clause,[],[f34298]) ).
thf(f34305,plain,
( ~ spl2_350
| spl2_406
| spl2_103
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f33576,f10087,f2537,f11461,f9504]) ).
thf(f34312,plain,
( spl2_286
| ~ spl2_239
| ~ spl2_25
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f30196,f4189,f2666,f227,f6932,f7566]) ).
thf(f34313,plain,
( spl2_95
| spl2_116
| spl2_20
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f33763,f2569,f193,f2614,f2509]) ).
thf(f34325,plain,
( ( $true != $true )
| ~ spl2_20
| ~ spl2_288 ),
inference(constrained_superposition,[],[f194,f7631]) ).
thf(f34326,plain,
( $false
| ~ spl2_20
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f34325]) ).
thf(f34327,plain,
( ~ spl2_20
| ~ spl2_288 ),
inference(avatar_contradiction_clause,[],[f34326]) ).
thf(f34332,plain,
( spl2_286
| ~ spl2_239
| spl2_77
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f30201,f4189,f2666,f1953,f6932,f7566]) ).
thf(f34336,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_20
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f12340,f194]) ).
thf(f34342,plain,
( spl2_426
| ~ spl2_95
| ~ spl2_25
| ~ spl2_20
| spl2_109 ),
inference(avatar_split_clause,[],[f34336,f2558,f193,f227,f2509,f12263]) ).
thf(f34413,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(constrained_superposition,[],[f1016,f51]) ).
thf(f34416,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f34413]) ).
thf(f34418,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f34416,f48]) ).
thf(f34423,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_13 ),
inference(constrained_superposition,[],[f125,f34418]) ).
thf(f34426,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f59,f34418]) ).
thf(f34441,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| spl2_13 ),
inference(duplicate_literal_removal,[],[f34423]) ).
thf(f34442,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f34441]) ).
thf(f34445,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f34426]) ).
thf(f34509,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_18
| ~ spl2_39 ),
inference(constrained_superposition,[],[f376,f2850]) ).
thf(f34513,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_18
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f34509]) ).
thf(f34515,plain,
( ~ spl2_17
| ~ spl2_18
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f34513,f375,f182,f179]) ).
thf(f34523,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_2
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f79,f30111]) ).
thf(f34536,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_2
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f34523]) ).
thf(f34538,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_18
| spl2_118
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f34536,f2850]) ).
thf(f34540,plain,
( ~ spl2_17
| spl2_157
| ~ spl2_2
| ~ spl2_18
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f34538,f4189,f2666,f182,f78,f4195,f179]) ).
thf(f34833,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_107
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f2552]) ).
thf(f34836,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_107
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f34833]) ).
thf(f34840,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_107
| ~ spl2_208 ),
inference(constrained_superposition,[],[f34836,f1579]) ).
thf(f34842,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_107
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f34840]) ).
thf(f34843,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_107
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f34842,f48]) ).
thf(f34844,plain,
( spl2_340
| spl2_339
| ~ spl2_107
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f34843,f6019,f2551,f9158,f9161]) ).
thf(f34917,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6549,f5402]) ).
thf(f34918,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_131
| ~ spl2_194 ),
inference(constrained_superposition,[],[f3109,f5402]) ).
thf(f34923,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f34917]) ).
thf(f34926,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_131
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f34918]) ).
thf(f34954,plain,
( $false
| ~ spl2_194
| ~ spl2_196
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f34923,f5410]) ).
thf(f34955,plain,
( ~ spl2_194
| ~ spl2_196
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f34954]) ).
thf(f34962,plain,
( spl2_12
| spl2_252
| spl2_13 ),
inference(avatar_split_clause,[],[f34445,f165,f7072,f161]) ).
thf(f34965,plain,
( ~ spl2_288
| ~ spl2_131
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f34926,f5401,f3108,f7630]) ).
thf(f34994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f57,f173]) ).
thf(f34996,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f34994]) ).
thf(f34998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f34996,f344]) ).
thf(f35000,plain,
( spl2_26
| spl2_27
| ~ spl2_15
| spl2_25 ),
inference(avatar_split_clause,[],[f34998,f227,f172,f233,f230]) ).
thf(f35016,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f35018,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f35016]) ).
thf(f35020,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f35018,f48]) ).
thf(f35027,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_97 ),
inference(constrained_superposition,[],[f59,f35020]) ).
thf(f35040,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f35027]) ).
thf(f35050,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_97
| spl2_107 ),
inference(forward_subsumption_resolution,[],[f35040,f32238]) ).
thf(f35055,plain,
( spl2_481
| spl2_97
| spl2_107 ),
inference(avatar_split_clause,[],[f35050,f2551,f2516,f23437]) ).
thf(f35141,plain,
( ( $true != $true )
| ~ spl2_194
| ~ spl2_393 ),
inference(constrained_superposition,[],[f10343,f5402]) ).
thf(f35142,plain,
( $false
| ~ spl2_194
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f35141]) ).
thf(f35143,plain,
( ~ spl2_194
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f35142]) ).
thf(f35147,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f34442,f1016]) ).
thf(f35149,plain,
( spl2_497
| ~ spl2_8
| spl2_13 ),
inference(avatar_split_clause,[],[f35147,f165,f105,f27178]) ).
thf(f35162,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_497 ),
inference(constrained_superposition,[],[f27179,f62]) ).
thf(f35164,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_497 ),
inference(trivial_inequality_removal,[],[f35162]) ).
thf(f35165,plain,
( spl2_7
| ~ spl2_497 ),
inference(avatar_split_clause,[],[f35164,f27178,f102]) ).
thf(f35249,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_159 ),
inference(constrained_superposition,[],[f272,f4208]) ).
thf(f35254,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f35249]) ).
thf(f35273,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f261,f134]) ).
thf(f35275,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f35273]) ).
thf(f35295,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_149 ),
inference(constrained_superposition,[],[f261,f4169]) ).
thf(f35299,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_30
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f35295]) ).
thf(f35327,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f2688,f63]) ).
thf(f35335,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f35327]) ).
thf(f35341,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f59,f5394]) ).
thf(f35342,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_391 ),
inference(constrained_superposition,[],[f10310,f5394]) ).
thf(f35352,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f35341]) ).
thf(f35361,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_192
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f35342]) ).
thf(f35364,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_159
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f35352,f35254]) ).
thf(f35369,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_118
| spl2_155
| ~ spl2_192
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f35361,f30111]) ).
thf(f35370,plain,
( spl2_242
| ~ spl2_32
| ~ spl2_159
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f35364,f5393,f4207,f271,f6943]) ).
thf(f35372,plain,
( ~ spl2_239
| spl2_118
| spl2_155
| ~ spl2_192
| ~ spl2_391 ),
inference(avatar_split_clause,[],[f35369,f10309,f5393,f4189,f2666,f6932]) ).
thf(f35427,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_373 ),
inference(constrained_superposition,[],[f272,f9766]) ).
thf(f35431,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f35427]) ).
thf(f35464,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6549,f5402]) ).
thf(f35469,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f35464]) ).
thf(f35477,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f35469,f51]) ).
thf(f35481,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f35477]) ).
thf(f35484,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f35481,f48]) ).
thf(f35488,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f152,f35484]) ).
thf(f35507,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f35488]) ).
thf(f35517,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_194
| spl2_211
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f35507,f6034]) ).
thf(f35520,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_13
| ~ spl2_194
| spl2_211
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f35517,f34418]) ).
thf(f35522,plain,
( spl2_278
| spl2_13
| ~ spl2_194
| spl2_211
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f35520,f6548,f6033,f5401,f165,f7472]) ).
thf(f35543,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_362 ),
inference(constrained_superposition,[],[f59,f9557]) ).
thf(f35561,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f35543]) ).
thf(f35568,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_362
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f35561,f35431]) ).
thf(f35569,plain,
( spl2_412
| ~ spl2_32
| ~ spl2_362
| ~ spl2_373 ),
inference(avatar_split_clause,[],[f35568,f9765,f9556,f271,f11776]) ).
thf(f35577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_366 ),
inference(constrained_superposition,[],[f125,f9575]) ).
thf(f35589,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f35577]) ).
thf(f35632,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_182
| ~ spl2_194 ),
inference(constrained_superposition,[],[f5317,f5402]) ).
thf(f35633,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_182
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f35632]) ).
thf(f35636,plain,
( spl2_139
| ~ spl2_182
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f35633,f5401,f5316,f3493]) ).
thf(f35647,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f59,f2534]) ).
thf(f35648,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f637,f2534]) ).
thf(f35657,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f35648]) ).
thf(f35658,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f35647]) ).
thf(f35739,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f604,f5410]) ).
thf(f35743,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f35739]) ).
thf(f35801,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f57,f5323]) ).
thf(f35805,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f35801]) ).
thf(f35906,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_453 ),
inference(constrained_superposition,[],[f261,f15997]) ).
thf(f35910,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_30
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f35906]) ).
thf(f35913,plain,
( $false
| ~ spl2_30
| ~ spl2_353
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f35910,f9515]) ).
thf(f35914,plain,
( ~ spl2_30
| ~ spl2_353
| ~ spl2_453 ),
inference(avatar_contradiction_clause,[],[f35913]) ).
thf(f35916,plain,
( spl2_322
| spl2_116
| spl2_95
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f35805,f5322,f2509,f2614,f8759]) ).
thf(f35917,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_102
| spl2_107 ),
inference(forward_subsumption_resolution,[],[f35657,f32238]) ).
thf(f35922,plain,
( spl2_233
| spl2_1
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f35658,f2533,f75,f6742]) ).
thf(f35924,plain,
( ~ spl2_6
| spl2_97
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f35335,f2687,f2516,f99]) ).
thf(f35927,plain,
( spl2_419
| ~ spl2_4
| ~ spl2_102
| spl2_107 ),
inference(avatar_split_clause,[],[f35917,f2551,f2533,f92,f12030]) ).
thf(f35965,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_103 ),
inference(constrained_superposition,[],[f604,f2538]) ).
thf(f35967,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f35965]) ).
thf(f35969,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_12
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f35967,f162]) ).
thf(f35971,plain,
( spl2_133
| spl2_132
| ~ spl2_12
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f35969,f2537,f161,f3111,f3338]) ).
thf(f35972,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f604,f2517]) ).
thf(f35977,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f35972]) ).
thf(f35980,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_15
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f35977,f173]) ).
thf(f35982,plain,
( spl2_132
| spl2_133
| ~ spl2_15
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f35980,f2516,f172,f3338,f3111]) ).
thf(f36029,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f72,f7275]) ).
thf(f36039,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f36029]) ).
thf(f36051,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f604,f9494]) ).
thf(f36054,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f36051]) ).
thf(f36056,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_12
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f36054,f162]) ).
thf(f36057,plain,
( spl2_362
| spl2_360
| ~ spl2_12
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f36056,f9493,f161,f9549,f9556]) ).
thf(f36100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_132
| ~ spl2_173 ),
inference(constrained_superposition,[],[f3112,f5261]) ).
thf(f36102,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_132
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f36100]) ).
thf(f36106,plain,
( spl2_393
| ~ spl2_132
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f36102,f5260,f3111,f10342]) ).
thf(f36108,plain,
( spl2_218
| spl2_15
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f36039,f2577,f172,f6412]) ).
thf(f36109,plain,
( spl2_182
| spl2_185
| ~ spl2_15
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f35743,f5409,f172,f5329,f5316]) ).
thf(f36121,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_194
| ~ spl2_444 ),
inference(constrained_superposition,[],[f15301,f5402]) ).
thf(f36130,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_194
| ~ spl2_444 ),
inference(trivial_inequality_removal,[],[f36121]) ).
thf(f36136,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_194
| ~ spl2_444 ),
inference(forward_subsumption_resolution,[],[f36130,f48]) ).
thf(f36139,plain,
( spl2_180
| spl2_205
| ~ spl2_194
| ~ spl2_444 ),
inference(avatar_split_clause,[],[f36136,f15300,f5401,f5948,f5308]) ).
thf(f36167,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f59,f4183]) ).
thf(f36187,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f36167]) ).
thf(f36218,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_155 ),
inference(constrained_superposition,[],[f234,f4190]) ).
thf(f36221,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f36218]) ).
thf(f36267,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_192
| ~ spl2_286 ),
inference(constrained_superposition,[],[f7567,f5394]) ).
thf(f36273,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f59,f5394]) ).
thf(f36281,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f36273]) ).
thf(f36284,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_192
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f36267]) ).
thf(f36296,plain,
( ~ spl2_98
| ~ spl2_192
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f36284,f7566,f5393,f2520]) ).
thf(f36306,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_149
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f36281,f35299]) ).
thf(f36308,plain,
( spl2_242
| ~ spl2_30
| ~ spl2_149
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f36306,f5393,f4168,f260,f6943]) ).
thf(f36309,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f604,f5949]) ).
thf(f36312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f36309]) ).
thf(f36314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_12
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f36312,f162]) ).
thf(f36315,plain,
( spl2_182
| spl2_185
| ~ spl2_12
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f36314,f5948,f161,f5329,f5316]) ).
thf(f36323,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_42
| ~ spl2_114 ),
inference(constrained_superposition,[],[f556,f7275]) ).
thf(f36327,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f36323]) ).
thf(f36334,plain,
( $false
| ~ spl2_42
| ~ spl2_102
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f36327,f2534]) ).
thf(f36335,plain,
( ~ spl2_42
| ~ spl2_102
| ~ spl2_114 ),
inference(avatar_contradiction_clause,[],[f36334]) ).
thf(f36370,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f604,f6925]) ).
thf(f36373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f36370]) ).
thf(f36459,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_362 ),
inference(constrained_superposition,[],[f72,f9557]) ).
thf(f36461,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_362 ),
inference(constrained_superposition,[],[f59,f9557]) ).
thf(f36471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f36461]) ).
thf(f36477,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f36459]) ).
thf(f36483,plain,
( spl2_412
| spl2_353
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f36471,f9556,f9514,f11776]) ).
thf(f36568,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_206
| ~ spl2_382 ),
inference(constrained_superposition,[],[f5975,f10088]) ).
thf(f36570,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_382 ),
inference(constrained_superposition,[],[f2688,f10088]) ).
thf(f36588,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_206
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f36568]) ).
thf(f36593,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_123
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f36570]) ).
thf(f36599,plain,
( $false
| ~ spl2_206
| ~ spl2_366
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f36588,f9575]) ).
thf(f36600,plain,
( ~ spl2_206
| ~ spl2_366
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f36599]) ).
thf(f36602,plain,
( ~ spl2_350
| ~ spl2_123
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f36593,f10087,f2687,f9504]) ).
thf(f36605,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f604,f9519]) ).
thf(f36610,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f36605]) ).
thf(f36616,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f59,f6505]) ).
thf(f36624,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f36616]) ).
thf(f36637,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_30
| ~ spl2_149
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f36624,f35299]) ).
thf(f36640,plain,
( spl2_403
| ~ spl2_30
| ~ spl2_149
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f36637,f6504,f4168,f260,f11214]) ).
thf(f36739,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7052,f5271]) ).
thf(f36743,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f36739]) ).
thf(f36746,plain,
( $false
| ~ spl2_176
| ~ spl2_251
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f36743,f9487]) ).
thf(f36747,plain,
( ~ spl2_176
| ~ spl2_251
| ~ spl2_345 ),
inference(avatar_contradiction_clause,[],[f36746]) ).
thf(f36750,plain,
( spl2_390
| spl2_147
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f36187,f4182,f4162,f10286]) ).
thf(f36753,plain,
( spl2_147
| spl2_403
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f36624,f6504,f11214,f4162]) ).
thf(f36754,plain,
( ~ spl2_453
| spl2_132
| spl2_133
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f36610,f9518,f3338,f3111,f15483]) ).
thf(f36756,plain,
( spl2_133
| spl2_132
| ~ spl2_149
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f36373,f6924,f4168,f3111,f3338]) ).
thf(f36772,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f29,f103]) ).
thf(f36777,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f36772]) ).
thf(f36783,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f152,f2612]) ).
thf(f36788,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f24,f2612]) ).
thf(f36800,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f36783]) ).
thf(f36803,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f36788]) ).
thf(f36856,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f125,f6237]) ).
thf(f36857,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f72,f6237]) ).
thf(f36859,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f59,f6237]) ).
thf(f36867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f36856]) ).
thf(f36869,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f36859]) ).
thf(f36878,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f36857]) ).
thf(f37000,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_288 ),
inference(constrained_superposition,[],[f261,f7631]) ).
thf(f37007,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_30
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f37000]) ).
thf(f37012,plain,
( ~ spl2_18
| spl2_97
| spl2_42
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f36867,f3338,f555,f2516,f182]) ).
thf(f37013,plain,
( $false
| ~ spl2_7
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f2580,f103]) ).
thf(f37014,plain,
( ~ spl2_7
| spl2_15 ),
inference(avatar_contradiction_clause,[],[f37013]) ).
thf(f37017,plain,
( spl2_107
| spl2_389
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f36869,f3338,f10278,f2551]) ).
thf(f37018,plain,
( spl2_10
| spl2_500
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f36777,f102,f27318,f117]) ).
thf(f37025,plain,
( spl2_349
| spl2_415
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f36477,f9556,f11788,f9500]) ).
thf(f37026,plain,
( spl2_106
| spl2_235
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f36878,f3338,f6863,f2547]) ).
thf(f37096,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155
| ~ spl2_160 ),
inference(constrained_superposition,[],[f4190,f4212]) ).
thf(f37171,plain,
( $false
| spl2_112
| ~ spl2_155
| ~ spl2_160 ),
inference(forward_subsumption_resolution,[],[f37096,f7257]) ).
thf(f37172,plain,
( spl2_112
| ~ spl2_155
| ~ spl2_160 ),
inference(avatar_contradiction_clause,[],[f37171]) ).
thf(f37245,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_107
| ~ spl2_500 ),
inference(constrained_superposition,[],[f27319,f2552]) ).
thf(f37254,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_107
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f37245]) ).
thf(f37260,plain,
( $false
| ~ spl2_107
| ~ spl2_421
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f37254,f12040]) ).
thf(f37261,plain,
( ~ spl2_107
| ~ spl2_421
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f37260]) ).
thf(f37276,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_470 ),
inference(constrained_superposition,[],[f1523,f19067]) ).
thf(f37332,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_152
| ~ spl2_470 ),
inference(forward_subsumption_resolution,[],[f37276,f21294]) ).
thf(f37336,plain,
( $false
| spl2_134
| spl2_152
| ~ spl2_470 ),
inference(forward_subsumption_resolution,[],[f37332,f3343]) ).
thf(f37337,plain,
( spl2_134
| spl2_152
| ~ spl2_470 ),
inference(avatar_contradiction_clause,[],[f37336]) ).
thf(f37343,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f625,f5394]) ).
thf(f37360,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f37343]) ).
thf(f37387,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_107
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6020,f2552]) ).
thf(f37391,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_107
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f37387]) ).
thf(f37392,plain,
( $false
| ~ spl2_107
| ~ spl2_208
| ~ spl2_421 ),
inference(forward_subsumption_resolution,[],[f37391,f12040]) ).
thf(f37393,plain,
( ~ spl2_107
| ~ spl2_208
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f37392]) ).
thf(f37396,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_155
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f37360,f36221]) ).
thf(f37399,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_30
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f3485,f261]) ).
thf(f37402,plain,
( spl2_123
| ~ spl2_98
| ~ spl2_27
| ~ spl2_155
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f37396,f5393,f4189,f233,f2520,f2687]) ).
thf(f37426,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_219 ),
inference(constrained_superposition,[],[f376,f21432]) ).
thf(f37430,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_39
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f37426]) ).
thf(f37432,plain,
( ~ spl2_273
| ~ spl2_39
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f37430,f6420,f375,f7450]) ).
thf(f37437,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f604,f4193]) ).
thf(f37440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f37437]) ).
thf(f37489,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_146 ),
inference(constrained_superposition,[],[f4160,f27]) ).
thf(f37490,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_146 ),
inference(trivial_inequality_removal,[],[f37489]) ).
thf(f37492,plain,
( spl2_159
| spl2_184
| spl2_146 ),
inference(avatar_split_clause,[],[f37490,f4159,f5325,f4207]) ).
thf(f37517,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_159 ),
inference(constrained_superposition,[],[f604,f4208]) ).
thf(f37518,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_159 ),
inference(constrained_superposition,[],[f57,f4208]) ).
thf(f37521,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f37517]) ).
thf(f37522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f37518]) ).
thf(f37529,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_306 ),
inference(constrained_superposition,[],[f23440,f27]) ).
thf(f37531,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_306 ),
inference(trivial_inequality_removal,[],[f37529]) ).
thf(f37533,plain,
( spl2_149
| spl2_197
| spl2_306 ),
inference(avatar_split_clause,[],[f37531,f8205,f5426,f4168]) ).
thf(f37537,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f29,f4169]) ).
thf(f37538,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f37537]) ).
thf(f37542,plain,
( spl2_268
| spl2_297
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f37538,f4168,f7737,f7223]) ).
thf(f37547,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_155 ),
inference(constrained_superposition,[],[f8197,f51]) ).
thf(f37549,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_155 ),
inference(trivial_inequality_removal,[],[f37547]) ).
thf(f37551,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_118
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f37549,f5205]) ).
thf(f37553,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f125,f37551]) ).
thf(f37554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f72,f37551]) ).
thf(f37556,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_118
| spl2_155 ),
inference(constrained_superposition,[],[f59,f37551]) ).
thf(f37570,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f37556]) ).
thf(f37573,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f37553]) ).
thf(f37574,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_118
| spl2_155 ),
inference(trivial_inequality_removal,[],[f37554]) ).
thf(f37631,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_211 ),
inference(constrained_superposition,[],[f234,f6422]) ).
thf(f37633,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f29,f6422]) ).
thf(f37635,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f37631]) ).
thf(f37636,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f37633]) ).
thf(f37637,plain,
( spl2_21
| spl2_304
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f37636,f6033,f8101,f198]) ).
thf(f37695,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f59,f5264]) ).
thf(f37710,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f37695]) ).
thf(f37720,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_30
| ~ spl2_174
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f37710,f37007]) ).
thf(f37723,plain,
( spl2_193
| ~ spl2_30
| ~ spl2_174
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f37720,f7630,f5263,f260,f5397]) ).
thf(f37725,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6549,f5402]) ).
thf(f37730,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f37725]) ).
thf(f37734,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f37730,f51]) ).
thf(f37736,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f37734]) ).
thf(f37738,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_194
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f37736,f48]) ).
thf(f37744,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_137
| ~ spl2_149 ),
inference(constrained_superposition,[],[f37399,f4169]) ).
thf(f37747,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_30
| ~ spl2_137
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f37744]) ).
thf(f37752,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_30
| ~ spl2_137
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f37747,f48]) ).
thf(f37755,plain,
( spl2_160
| ~ spl2_30
| ~ spl2_137
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f37752,f4168,f3484,f260,f4211]) ).
thf(f37759,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f72,f37738]) ).
thf(f37760,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_194
| ~ spl2_232 ),
inference(constrained_superposition,[],[f625,f37738]) ).
thf(f37778,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f37759]) ).
thf(f37782,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_194
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f37760]) ).
thf(f37785,plain,
( spl2_188
| spl2_296
| ~ spl2_194
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f37778,f6548,f5401,f7718,f5379]) ).
thf(f37788,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_194
| ~ spl2_211
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f37782,f37635]) ).
thf(f37790,plain,
( spl2_39
| ~ spl2_6
| ~ spl2_27
| ~ spl2_194
| ~ spl2_211
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f37788,f6548,f6033,f5401,f233,f99,f375]) ).
thf(f37808,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_373 ),
inference(constrained_superposition,[],[f272,f9766]) ).
thf(f37814,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f37808]) ).
thf(f37816,plain,
( $false
| ~ spl2_32
| ~ spl2_353
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f37814,f9515]) ).
thf(f37817,plain,
( ~ spl2_32
| ~ spl2_353
| ~ spl2_373 ),
inference(avatar_contradiction_clause,[],[f37816]) ).
thf(f37906,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f152,f6527]) ).
thf(f37907,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f125,f6527]) ).
thf(f37908,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f72,f6527]) ).
thf(f37909,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f625,f6527]) ).
thf(f37910,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f59,f6527]) ).
thf(f37918,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f37909]) ).
thf(f37919,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f37908]) ).
thf(f37920,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f37906]) ).
thf(f37921,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f37907]) ).
thf(f37925,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f37910]) ).
thf(f38003,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_382
| ~ spl2_386 ),
inference(constrained_superposition,[],[f10258,f10088]) ).
thf(f38005,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f10258,f63]) ).
thf(f38013,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_382
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f38003]) ).
thf(f38015,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f38005]) ).
thf(f38016,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_358
| ~ spl2_382
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f38013,f9922]) ).
thf(f38017,plain,
( ~ spl2_350
| ~ spl2_358
| ~ spl2_382
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f38016,f10257,f10087,f9533,f9504]) ).
thf(f38018,plain,
( spl2_15
| spl2_216
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f37574,f4189,f2666,f6390,f172]) ).
thf(f38020,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_118
| spl2_155
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f37920,f37551]) ).
thf(f38022,plain,
( spl2_400
| spl2_187
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f37925,f6526,f5337,f11045]) ).
thf(f38023,plain,
( spl2_465
| spl2_188
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f37919,f6526,f5379,f16845]) ).
thf(f38025,plain,
( spl2_275
| spl2_211
| spl2_118
| spl2_155
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f38020,f6526,f4189,f2666,f6033,f7457]) ).
thf(f38047,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f38050,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f38047]) ).
thf(f38052,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f38050,f48]) ).
thf(f38055,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_97 ),
inference(constrained_superposition,[],[f152,f38052]) ).
thf(f38076,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f38055]) ).
thf(f38084,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_13
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f38076,f34418]) ).
thf(f38088,plain,
( spl2_112
| spl2_128
| spl2_13
| spl2_97 ),
inference(avatar_split_clause,[],[f38084,f2516,f165,f3020,f2569]) ).
thf(f38199,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f125,f5938]) ).
thf(f38216,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f38199]) ).
thf(f38238,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f59,f8753]) ).
thf(f38250,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f38238]) ).
thf(f38260,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_107
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f38250,f32238]) ).
thf(f38261,plain,
( spl2_387
| spl2_107
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f38260,f8752,f2551,f10268]) ).
thf(f38298,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f29,f9519]) ).
thf(f38299,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f38298]) ).
thf(f38304,plain,
( spl2_132
| spl2_452
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f38299,f9518,f15479,f3111]) ).
thf(f38350,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f59,f10013]) ).
thf(f38366,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f38350]) ).
thf(f38373,plain,
( spl2_494
| spl2_353
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f38366,f10012,f9514,f26528]) ).
thf(f38393,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f152,f5268]) ).
thf(f38397,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f59,f5268]) ).
thf(f38412,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f38397]) ).
thf(f38414,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f38393]) ).
thf(f38418,plain,
( spl2_352
| spl2_353
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f38412,f5267,f9514,f9511]) ).
thf(f38419,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_118
| spl2_155
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f38414,f37551]) ).
thf(f38423,plain,
( spl2_345
| spl2_346
| spl2_118
| spl2_155
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f38419,f5267,f4189,f2666,f9489,f9486]) ).
thf(f38437,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_354
| ~ spl2_466 ),
inference(constrained_superposition,[],[f17080,f9519]) ).
thf(f38439,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_354
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f38437]) ).
thf(f38444,plain,
( $false
| ~ spl2_106
| ~ spl2_354
| ~ spl2_466 ),
inference(forward_subsumption_resolution,[],[f38439,f2548]) ).
thf(f38445,plain,
( ~ spl2_106
| ~ spl2_354
| ~ spl2_466 ),
inference(avatar_contradiction_clause,[],[f38444]) ).
thf(f38450,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_187
| ~ spl2_304 ),
inference(constrained_superposition,[],[f8102,f5338]) ).
thf(f38454,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_187
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f38450]) ).
thf(f38456,plain,
( $false
| ~ spl2_77
| ~ spl2_187
| ~ spl2_304 ),
inference(forward_subsumption_resolution,[],[f38454,f9079]) ).
thf(f38457,plain,
( ~ spl2_77
| ~ spl2_187
| ~ spl2_304 ),
inference(avatar_contradiction_clause,[],[f38456]) ).
thf(f38562,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f57,f6523]) ).
thf(f38563,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f29,f6523]) ).
thf(f38565,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f38563]) ).
thf(f38566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f38562]) ).
thf(f38567,plain,
( spl2_182
| spl2_456
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f38565,f6522,f15531,f5316]) ).
thf(f38593,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_227
| ~ spl2_329 ),
inference(constrained_superposition,[],[f8997,f6515]) ).
thf(f38601,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_227
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f38593]) ).
thf(f38602,plain,
( $false
| ~ spl2_227
| ~ spl2_329
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f38601,f9519]) ).
thf(f38603,plain,
( ~ spl2_227
| ~ spl2_329
| ~ spl2_354 ),
inference(avatar_contradiction_clause,[],[f38602]) ).
thf(f38625,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_389 ),
inference(constrained_superposition,[],[f10279,f63]) ).
thf(f38630,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f38625]) ).
thf(f38669,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_227
| ~ spl2_485 ),
inference(constrained_superposition,[],[f24270,f6515]) ).
thf(f38677,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_227
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f38669]) ).
thf(f38678,plain,
( $false
| ~ spl2_173
| ~ spl2_227
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f38677,f5261]) ).
thf(f38679,plain,
( ~ spl2_173
| ~ spl2_227
| ~ spl2_485 ),
inference(avatar_contradiction_clause,[],[f38678]) ).
thf(f38680,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_218 ),
inference(constrained_superposition,[],[f6413,f50]) ).
thf(f38689,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f38680]) ).
thf(f38698,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_377
| ~ spl2_462 ),
inference(constrained_superposition,[],[f16377,f10013]) ).
thf(f38703,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_377
| ~ spl2_462 ),
inference(trivial_inequality_removal,[],[f38698]) ).
thf(f38708,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_95
| ~ spl2_377
| ~ spl2_462 ),
inference(forward_subsumption_resolution,[],[f38703,f2612]) ).
thf(f38709,plain,
( ~ spl2_98
| ~ spl2_95
| ~ spl2_377
| ~ spl2_462 ),
inference(avatar_split_clause,[],[f38708,f16376,f10012,f2509,f2520]) ).
thf(f38716,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f36803,f63]) ).
thf(f38720,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f38716]) ).
thf(f38743,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_216
| ~ spl2_230 ),
inference(constrained_superposition,[],[f6391,f6527]) ).
thf(f38752,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_216
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f38743]) ).
thf(f38791,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_296 ),
inference(constrained_superposition,[],[f7719,f6527]) ).
thf(f38802,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_230
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f38791]) ).
thf(f38846,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_347
| ~ spl2_447 ),
inference(constrained_superposition,[],[f15416,f9494]) ).
thf(f38847,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_447 ),
inference(constrained_superposition,[],[f15416,f49]) ).
thf(f38853,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_347
| ~ spl2_447 ),
inference(trivial_inequality_removal,[],[f38846]) ).
thf(f38855,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_447 ),
inference(trivial_inequality_removal,[],[f38847]) ).
thf(f38858,plain,
( $false
| ~ spl2_187
| ~ spl2_347
| ~ spl2_447 ),
inference(forward_subsumption_resolution,[],[f38853,f5338]) ).
thf(f38859,plain,
( ~ spl2_187
| ~ spl2_347
| ~ spl2_447 ),
inference(avatar_contradiction_clause,[],[f38858]) ).
thf(f38860,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_187
| ~ spl2_447 ),
inference(forward_subsumption_resolution,[],[f38855,f5338]) ).
thf(f38863,plain,
( spl2_393
| spl2_358
| spl2_374
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f38566,f6522,f9924,f9533,f10342]) ).
thf(f38865,plain,
( spl2_358
| ~ spl2_187
| ~ spl2_447 ),
inference(avatar_split_clause,[],[f38860,f15415,f5337,f9533]) ).
thf(f38881,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f59,f9922]) ).
thf(f38890,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f38881]) ).
thf(f38908,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_174
| ~ spl2_291 ),
inference(constrained_superposition,[],[f7646,f5264]) ).
thf(f38938,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_174
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f38908]) ).
thf(f38943,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_95
| ~ spl2_174
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f38938,f2612]) ).
thf(f38946,plain,
( ~ spl2_98
| ~ spl2_95
| ~ spl2_174
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f38943,f7645,f5263,f2509,f2520]) ).
thf(f39027,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(constrained_superposition,[],[f15532,f9501]) ).
thf(f39028,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f39027]) ).
thf(f39034,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(constrained_superposition,[],[f39028,f51]) ).
thf(f39036,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f39034]) ).
thf(f39038,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f39036,f48]) ).
thf(f39043,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_349
| ~ spl2_456 ),
inference(constrained_superposition,[],[f152,f39038]) ).
thf(f39063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_349
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f39043]) ).
thf(f39074,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_211
| ~ spl2_349
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f39063,f6034]) ).
thf(f39078,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_13
| spl2_211
| ~ spl2_349
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f39074,f34418]) ).
thf(f39080,plain,
( spl2_278
| spl2_13
| spl2_211
| ~ spl2_349
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f39078,f15531,f9500,f6033,f165,f7472]) ).
thf(f39082,plain,
( spl2_462
| spl2_353
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f38890,f9533,f9514,f16376]) ).
thf(f39083,plain,
( ~ spl2_18
| spl2_97
| ~ spl2_6
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f38630,f10278,f99,f2516,f182]) ).
thf(f39084,plain,
( spl2_39
| spl2_97
| ~ spl2_6
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f38720,f2509,f99,f2516,f375]) ).
thf(f39086,plain,
( spl2_13
| ~ spl2_368
| spl2_369
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f35589,f9574,f9742,f9739,f165]) ).
thf(f39087,plain,
( ~ spl2_219
| spl2_13
| spl2_278
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f38216,f5937,f7472,f165,f6420]) ).
thf(f39091,plain,
( spl2_306
| ~ spl2_12
| spl2_268
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f37440,f4192,f7223,f161,f8205]) ).
thf(f39092,plain,
( spl2_306
| spl2_268
| ~ spl2_15
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f37521,f4207,f172,f7223,f8205]) ).
thf(f39093,plain,
( ~ spl2_6
| spl2_97
| ~ spl2_4
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f38015,f10257,f92,f2516,f99]) ).
thf(f39095,plain,
( ~ spl2_146
| ~ spl2_217
| ~ spl2_230
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f38802,f7718,f6526,f6407,f4159]) ).
thf(f39098,plain,
( ~ spl2_219
| ~ spl2_202
| ~ spl2_216
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f38752,f6526,f6390,f5937,f6420]) ).
thf(f39100,plain,
( spl2_250
| spl2_196
| ~ spl2_217
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f37921,f6526,f6407,f5409,f7027]) ).
thf(f39101,plain,
( ~ spl2_217
| spl2_13
| spl2_250
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f37573,f4189,f2666,f7027,f165,f6407]) ).
thf(f39103,plain,
( spl2_427
| spl2_12
| spl2_118
| spl2_155 ),
inference(avatar_split_clause,[],[f37570,f4189,f2666,f161,f12565]) ).
thf(f39104,plain,
( spl2_286
| spl2_205
| ~ spl2_239
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f37918,f6526,f6932,f5948,f7566]) ).
thf(f39105,plain,
( spl2_9
| spl2_4
| spl2_322
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f37522,f4207,f8759,f92,f114]) ).
thf(f39146,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f637,f2850]) ).
thf(f39161,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f39146]) ).
thf(f39166,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f39161,f195]) ).
thf(f39167,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4
| spl2_12
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f39166,f615]) ).
thf(f39168,plain,
( spl2_419
| ~ spl2_4
| spl2_12
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f39167,f182,f161,f92,f12030]) ).
thf(f39185,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_147 ),
inference(constrained_superposition,[],[f35275,f4163]) ).
thf(f39188,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_30
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f39185]) ).
thf(f39191,plain,
( spl2_306
| ~ spl2_30
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f39188,f4162,f260,f8205]) ).
thf(f39205,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_157 ),
inference(constrained_superposition,[],[f57,f4196]) ).
thf(f39207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f39205]) ).
thf(f39209,plain,
( spl2_153
| spl2_26
| spl2_154
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f39207,f4195,f4185,f230,f4182]) ).
thf(f39211,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_187 ),
inference(constrained_superposition,[],[f35275,f5338]) ).
thf(f39216,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_30
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f39211]) ).
thf(f39219,plain,
( spl2_185
| ~ spl2_30
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f39216,f5337,f260,f5329]) ).
thf(f39238,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| ~ spl2_133 ),
inference(constrained_superposition,[],[f36803,f6237]) ).
thf(f39244,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f625,f6237]) ).
thf(f39254,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f39244]) ).
thf(f39255,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_95
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f39238]) ).
thf(f39268,plain,
( ~ spl2_17
| spl2_50
| spl2_103
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f39254,f3338,f2537,f786,f179]) ).
thf(f39269,plain,
( spl2_50
| ~ spl2_17
| ~ spl2_95
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f39255,f3338,f2509,f179,f786]) ).
thf(f39341,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f152,f8206]) ).
thf(f39344,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f625,f8206]) ).
thf(f39363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f39344]) ).
thf(f39364,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f39341]) ).
thf(f39390,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f125,f5330]) ).
thf(f39391,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f72,f5330]) ).
thf(f39392,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f625,f5330]) ).
thf(f39402,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f39392]) ).
thf(f39406,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f39390]) ).
thf(f39407,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f39391]) ).
thf(f39489,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_154
| ~ spl2_159 ),
inference(constrained_superposition,[],[f4186,f4208]) ).
thf(f39497,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_154
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f39489]) ).
thf(f39499,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_154
| ~ spl2_159 ),
inference(constrained_superposition,[],[f39497,f1579]) ).
thf(f39501,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_154
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f39499]) ).
thf(f39502,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_154
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f39501,f48]) ).
thf(f39503,plain,
( spl2_339
| spl2_340
| ~ spl2_154
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f39502,f4207,f4185,f9161,f9158]) ).
thf(f39523,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f152,f5264]) ).
thf(f39524,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f125,f5264]) ).
thf(f39525,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f72,f5264]) ).
thf(f39526,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f625,f5264]) ).
thf(f39528,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174
| ~ spl2_218 ),
inference(constrained_superposition,[],[f6413,f5264]) ).
thf(f39538,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f39524]) ).
thf(f39539,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f39525]) ).
thf(f39541,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f39526]) ).
thf(f39546,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f39528]) ).
thf(f39548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f39523]) ).
thf(f39555,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f57,f5402]) ).
thf(f39557,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f39555]) ).
thf(f39602,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f57,f9487]) ).
thf(f39604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f39602]) ).
thf(f39607,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_345
| spl2_358 ),
inference(forward_subsumption_resolution,[],[f39604,f9534]) ).
thf(f39608,plain,
( spl2_374
| spl2_20
| ~ spl2_345
| spl2_358 ),
inference(avatar_split_clause,[],[f39607,f9533,f9486,f193,f9924]) ).
thf(f39668,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f57,f9519]) ).
thf(f39670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f39668]) ).
thf(f39675,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_354
| spl2_358 ),
inference(forward_subsumption_resolution,[],[f39670,f9534]) ).
thf(f39676,plain,
( spl2_374
| spl2_139
| ~ spl2_354
| spl2_358 ),
inference(avatar_split_clause,[],[f39675,f9533,f9518,f3493,f9924]) ).
thf(f39751,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f604,f24252]) ).
thf(f39757,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f39751]) ).
thf(f39798,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_194
| ~ spl2_326 ),
inference(constrained_superposition,[],[f8826,f5402]) ).
thf(f39804,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f39798]) ).
thf(f39808,plain,
( $false
| ~ spl2_106
| ~ spl2_194
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f39804,f2548]) ).
thf(f39809,plain,
( ~ spl2_106
| ~ spl2_194
| ~ spl2_326 ),
inference(avatar_contradiction_clause,[],[f39808]) ).
thf(f39811,plain,
( spl2_188
| spl2_189
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f39539,f5263,f5382,f5379]) ).
thf(f39812,plain,
( spl2_319
| spl2_188
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f39407,f5329,f5379,f8736]) ).
thf(f39817,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f194,f134]) ).
thf(f39818,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f39817]) ).
thf(f39864,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f59,f21432]) ).
thf(f39881,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f39864]) ).
thf(f39891,plain,
( $false
| ~ spl2_20
| spl2_362 ),
inference(forward_subsumption_resolution,[],[f15991,f39818]) ).
thf(f39892,plain,
( ~ spl2_20
| spl2_362 ),
inference(avatar_contradiction_clause,[],[f39891]) ).
thf(f39897,plain,
( spl2_360
| spl2_362
| ~ spl2_120
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f39757,f24251,f2674,f9556,f9549]) ).
thf(f39898,plain,
( spl2_211
| ~ spl2_114
| spl2_328
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f39548,f5263,f8924,f2577,f6033]) ).
thf(f39899,plain,
( ~ spl2_17
| spl2_156
| spl2_50
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f39363,f8205,f786,f4192,f179]) ).
thf(f39900,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174
| ~ spl2_218
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f39546,f21432]) ).
thf(f39901,plain,
( spl2_205
| spl2_123
| ~ spl2_98
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f39541,f5263,f2520,f2687,f5948]) ).
thf(f39902,plain,
( spl2_196
| spl2_42
| ~ spl2_18
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f39406,f5329,f182,f555,f5409]) ).
thf(f39904,plain,
( ~ spl2_17
| spl2_50
| spl2_205
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f39402,f5329,f5948,f786,f179]) ).
thf(f39905,plain,
( ~ spl2_240
| spl2_275
| spl2_211
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f37920,f6526,f6033,f7457,f6935]) ).
thf(f39906,plain,
( ~ spl2_102
| spl2_128
| spl2_196
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f39538,f5263,f5409,f3020,f2533]) ).
thf(f39907,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f38689,f195]) ).
thf(f39908,plain,
( spl2_1
| spl2_480
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f39881,f6420,f22020,f75]) ).
thf(f39911,plain,
( spl2_198
| spl2_139
| spl2_179
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f39557,f5401,f5305,f3493,f5430]) ).
thf(f39913,plain,
( ~ spl2_202
| ~ spl2_174
| ~ spl2_218
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f39900,f6420,f6412,f5263,f5937]) ).
thf(f39914,plain,
( ~ spl2_25
| spl2_107
| ~ spl2_4
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f39907,f6412,f92,f2551,f227]) ).
thf(f39935,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f72,f228]) ).
thf(f39944,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f39935]) ).
thf(f39955,plain,
( spl2_37
| spl2_15
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f39944,f227,f172,f367]) ).
thf(f40041,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f2486,f4183]) ).
thf(f40042,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f152,f4183]) ).
thf(f40043,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f125,f4183]) ).
thf(f40044,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f72,f4183]) ).
thf(f40053,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f40044]) ).
thf(f40058,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f40042]) ).
thf(f40059,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f40043]) ).
thf(f40062,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f40041]) ).
thf(f40066,plain,
( spl2_283
| spl2_157
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f40053,f4182,f4195,f7550]) ).
thf(f40067,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_25
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f40058,f228]) ).
thf(f40068,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f40059,f195]) ).
thf(f40069,plain,
( spl2_237
| spl2_285
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f40062,f4182,f7560,f6924]) ).
thf(f40071,plain,
( spl2_286
| spl2_155
| ~ spl2_25
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f40067,f4182,f227,f4189,f7566]) ).
thf(f40072,plain,
( spl2_159
| spl2_39
| ~ spl2_4
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f40068,f4182,f92,f375,f4207]) ).
thf(f40073,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f40075,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f40073]) ).
thf(f40077,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f40075,f48]) ).
thf(f40135,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f152,f5306]) ).
thf(f40136,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f125,f5306]) ).
thf(f40137,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f72,f5306]) ).
thf(f40148,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f40135]) ).
thf(f40156,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f40137]) ).
thf(f40157,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f40136]) ).
thf(f40160,plain,
( spl2_290
| spl2_188
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f40156,f5305,f5379,f7639]) ).
thf(f40222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_353 ),
inference(constrained_superposition,[],[f57,f9515]) ).
thf(f40223,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_353 ),
inference(constrained_superposition,[],[f29,f9515]) ).
thf(f40225,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f40222]) ).
thf(f40226,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f40223]) ).
thf(f40243,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f125,f9922]) ).
thf(f40244,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f72,f9922]) ).
thf(f40255,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f40243]) ).
thf(f40266,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f40244]) ).
thf(f40274,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f202,f4190]) ).
thf(f40277,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f40274]) ).
thf(f40283,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f40277,f51]) ).
thf(f40285,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f40283]) ).
thf(f40287,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_22
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f40285,f48]) ).
thf(f40289,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f2486,f40287]) ).
thf(f40292,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(constrained_superposition,[],[f72,f40287]) ).
thf(f40306,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f40292]) ).
thf(f40307,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_22
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f40289]) ).
thf(f40316,plain,
( spl2_247
| spl2_157
| ~ spl2_22
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f40306,f4189,f201,f4195,f7016]) ).
thf(f40317,plain,
( spl2_246
| spl2_237
| ~ spl2_22
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f40307,f4189,f201,f6924,f7012]) ).
thf(f40375,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f125,f5938]) ).
thf(f40376,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f72,f5938]) ).
thf(f40386,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f40375]) ).
thf(f40394,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f40376]) ).
thf(f40428,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_362 ),
inference(constrained_superposition,[],[f125,f9557]) ).
thf(f40446,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f40428]) ).
thf(f40488,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_130
| ~ spl2_183 ),
inference(constrained_superposition,[],[f3089,f5323]) ).
thf(f40496,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_130
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f40488]) ).
thf(f40497,plain,
( $false
| ~ spl2_130
| ~ spl2_155
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f40496,f4190]) ).
thf(f40498,plain,
( ~ spl2_130
| ~ spl2_155
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f40497]) ).
thf(f40500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f36800,f228]) ).
thf(f40503,plain,
( spl2_123
| spl2_112
| ~ spl2_25
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f40500,f2509,f227,f2569,f2687]) ).
thf(f40746,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f29,f5271]) ).
thf(f40749,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f40746]) ).
thf(f40752,plain,
( spl2_361
| spl2_360
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f40749,f5270,f9549,f9552]) ).
thf(f40839,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_390 ),
inference(constrained_superposition,[],[f10287,f63]) ).
thf(f40850,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f40839]) ).
thf(f40863,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_227
| ~ spl2_326 ),
inference(constrained_superposition,[],[f8826,f6515]) ).
thf(f40866,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_227 ),
inference(constrained_superposition,[],[f29,f6515]) ).
thf(f40867,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f40866]) ).
thf(f40870,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_227
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f40863]) ).
thf(f40872,plain,
( spl2_447
| spl2_360
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f40867,f6514,f9549,f15415]) ).
thf(f40873,plain,
( $false
| ~ spl2_227
| ~ spl2_326
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f40870,f9501]) ).
thf(f40874,plain,
( ~ spl2_227
| ~ spl2_326
| ~ spl2_349 ),
inference(avatar_contradiction_clause,[],[f40873]) ).
thf(f40875,plain,
( spl2_42
| spl2_373
| ~ spl2_18
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f40446,f9556,f182,f9765,f555]) ).
thf(f40878,plain,
( spl2_15
| spl2_221
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f40394,f5937,f6433,f172]) ).
thf(f40916,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f1016,f51]) ).
thf(f40919,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f40916]) ).
thf(f40921,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f40919,f48]) ).
thf(f40923,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f72,f40921]) ).
thf(f40942,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f40923]) ).
thf(f41008,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_157 ),
inference(constrained_superposition,[],[f29,f4196]) ).
thf(f41011,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f41008]) ).
thf(f41013,plain,
( spl2_10
| spl2_287
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f41011,f4195,f7588,f117]) ).
thf(f41018,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_159 ),
inference(constrained_superposition,[],[f29,f4208]) ).
thf(f41022,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f41018]) ).
thf(f41024,plain,
( spl2_268
| spl2_422
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f41022,f4207,f12069,f7223]) ).
thf(f41034,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f125,f5394]) ).
thf(f41051,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f41034]) ).
thf(f41063,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_237
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7052,f6925]) ).
thf(f41070,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_237
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f41063]) ).
thf(f41074,plain,
( $false
| ~ spl2_112
| ~ spl2_237
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f41070,f2570]) ).
thf(f41075,plain,
( ~ spl2_112
| ~ spl2_237
| ~ spl2_251 ),
inference(avatar_contradiction_clause,[],[f41074]) ).
thf(f41076,plain,
( spl2_75
| spl2_15
| spl2_13 ),
inference(avatar_split_clause,[],[f40942,f165,f172,f1945]) ).
thf(f41077,plain,
( ~ spl2_102
| spl2_128
| spl2_159
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f41051,f5393,f4207,f3020,f2533]) ).
thf(f41130,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f29,f173]) ).
thf(f41133,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f41130]) ).
thf(f41134,plain,
( spl2_10
| spl2_24
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f41133,f172,f223,f117]) ).
thf(f41140,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f57,f2548]) ).
thf(f41143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f41140]) ).
thf(f41163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f57,f5261]) ).
thf(f41166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f41163]) ).
thf(f41172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f604,f5402]) ).
thf(f41175,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f29,f5402]) ).
thf(f41177,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f41175]) ).
thf(f41178,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f41172]) ).
thf(f41181,plain,
( spl2_132
| spl2_329
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f41177,f5401,f8996,f3111]) ).
thf(f41184,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f29,f9487]) ).
thf(f41187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f41184]) ).
thf(f41188,plain,
( spl2_21
| spl2_397
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f41187,f9486,f10906,f198]) ).
thf(f41223,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f152,f10013]) ).
thf(f41224,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f125,f10013]) ).
thf(f41226,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f625,f10013]) ).
thf(f41236,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f41223]) ).
thf(f41237,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f41226]) ).
thf(f41248,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f41224]) ).
thf(f41255,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f152,f10088]) ).
thf(f41256,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f125,f10088]) ).
thf(f41257,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f72,f10088]) ).
thf(f41259,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_382 ),
inference(constrained_superposition,[],[f59,f10088]) ).
thf(f41272,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f41257]) ).
thf(f41278,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f41255]) ).
thf(f41280,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f41259]) ).
thf(f41282,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f41256]) ).
thf(f41298,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f29,f6530]) ).
thf(f41304,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f41298]) ).
thf(f41305,plain,
( spl2_182
| spl2_343
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f41304,f6529,f9267,f5316]) ).
thf(f41346,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_202 ),
inference(constrained_superposition,[],[f368,f5938]) ).
thf(f41354,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f41346]) ).
thf(f41396,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f29,f5275]) ).
thf(f41399,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f41396]) ).
thf(f41401,plain,
( spl2_468
| spl2_268
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f41399,f5274,f7223,f18946]) ).
thf(f41405,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_202 ),
inference(constrained_superposition,[],[f1946,f5938]) ).
thf(f41416,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f41405]) ).
thf(f41487,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f152,f6512]) ).
thf(f41500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f41487]) ).
thf(f41519,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f152,f6520]) ).
thf(f41534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f41519]) ).
thf(f41554,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f5314,f134]) ).
thf(f41556,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_181
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5314,f6530]) ).
thf(f41562,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_181
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f41556]) ).
thf(f41564,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f41554]) ).
thf(f41565,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_181
| ~ spl2_231 ),
inference(constrained_superposition,[],[f41562,f51]) ).
thf(f41567,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_181
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f41565]) ).
thf(f41630,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_177
| ~ spl2_397 ),
inference(constrained_superposition,[],[f10907,f5275]) ).
thf(f41636,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_177
| ~ spl2_397 ),
inference(trivial_inequality_removal,[],[f41630]) ).
thf(f41642,plain,
( $false
| ~ spl2_155
| ~ spl2_177
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f41636,f4190]) ).
thf(f41643,plain,
( ~ spl2_155
| ~ spl2_177
| ~ spl2_397 ),
inference(avatar_contradiction_clause,[],[f41642]) ).
thf(f41644,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f41500,f5938]) ).
thf(f41645,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_211
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f41534,f6034]) ).
thf(f41646,plain,
( ~ spl2_114
| spl2_345
| spl2_370
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f41236,f10012,f9746,f9486,f2577]) ).
thf(f41647,plain,
( spl2_490
| spl2_345
| ~ spl2_202
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f41644,f6511,f5937,f9486,f25146]) ).
thf(f41648,plain,
( spl2_490
| ~ spl2_366
| spl2_211
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f41645,f6519,f6033,f9574,f25146]) ).
thf(f41836,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9268,f49]) ).
thf(f41837,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9268,f134]) ).
thf(f41838,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9268,f5261]) ).
thf(f41842,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f41836]) ).
thf(f41843,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f41838]) ).
thf(f41844,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f41837]) ).
thf(f41851,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(constrained_superposition,[],[f18947,f9501]) ).
thf(f41852,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_468 ),
inference(constrained_superposition,[],[f18947,f9515]) ).
thf(f41856,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f41852]) ).
thf(f41857,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_349
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f41851]) ).
thf(f41866,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_242
| ~ spl2_306 ),
inference(constrained_superposition,[],[f6944,f8206]) ).
thf(f41877,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_242
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f41866]) ).
thf(f41890,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f7561,f63]) ).
thf(f41897,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f41890]) ).
thf(f41906,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_97
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f41897,f40077]) ).
thf(f41915,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| spl2_97
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f41906,f195]) ).
thf(f41916,plain,
( spl2_159
| ~ spl2_4
| spl2_97
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f41915,f7560,f2516,f92,f4207]) ).
thf(f41917,plain,
( ~ spl2_219
| ~ spl2_220
| ~ spl2_75
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f41416,f5937,f1945,f6424,f6420]) ).
thf(f41919,plain,
( spl2_133
| spl2_132
| ~ spl2_288
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f41178,f5401,f7630,f3111,f3338]) ).
thf(f41921,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_13
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f40386,f1016]) ).
thf(f41923,plain,
( spl2_373
| spl2_39
| ~ spl2_4
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f40255,f9533,f92,f375,f9765]) ).
thf(f41924,plain,
( ~ spl2_112
| spl2_185
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f41564,f5313,f5329,f2569]) ).
thf(f41925,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| ~ spl2_179
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f41354,f5306]) ).
thf(f41926,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_109
| ~ spl2_181
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f41567,f3747]) ).
thf(f41929,plain,
( spl2_31
| spl2_378
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f40226,f9514,f10016,f263]) ).
thf(f41937,plain,
( spl2_159
| spl2_39
| ~ spl2_4
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f40059,f4182,f92,f375,f4207]) ).
thf(f41938,plain,
( ~ spl2_4
| spl2_39
| spl2_196
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f40157,f5305,f5409,f375,f92]) ).
thf(f41940,plain,
( spl2_278
| ~ spl2_219
| spl2_13
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f41921,f5937,f165,f6420,f7472]) ).
thf(f41941,plain,
( ~ spl2_219
| ~ spl2_37
| ~ spl2_179
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f41925,f5937,f5305,f367,f6420]) ).
thf(f41942,plain,
( spl2_192
| spl2_109
| ~ spl2_181
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f41926,f6529,f5313,f2558,f5393]) ).
thf(f41946,plain,
( spl2_399
| spl2_107
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f41280,f10087,f2551,f10977]) ).
thf(f41948,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_159
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f40850,f10286,f4207,f99,f92]) ).
thf(f41949,plain,
( ~ spl2_95
| ~ spl2_25
| spl2_120
| spl2_426
| spl2_109 ),
inference(avatar_split_clause,[],[f12340,f2558,f12263,f2674,f227,f2509]) ).
thf(f41950,plain,
( spl2_112
| spl2_370
| ~ spl2_366
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f41278,f10087,f9574,f9746,f2569]) ).
thf(f41953,plain,
( ~ spl2_25
| spl2_274
| spl2_211
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f40148,f5305,f6033,f7453,f227]) ).
thf(f41955,plain,
( spl2_95
| spl2_26
| spl2_116
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f41143,f2547,f2614,f230,f2509]) ).
thf(f41956,plain,
( spl2_123
| ~ spl2_98
| spl2_347
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f41237,f10012,f9493,f2520,f2687]) ).
thf(f41957,plain,
( spl2_393
| spl2_116
| spl2_95
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f41166,f5260,f2509,f2614,f10342]) ).
thf(f41958,plain,
( ~ spl2_17
| ~ spl2_114
| ~ spl2_242
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f41877,f8205,f6943,f2577,f179]) ).
thf(f41970,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f194,f134]) ).
thf(f41973,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f41970]) ).
thf(f41980,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f57,f166]) ).
thf(f41981,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f29,f166]) ).
thf(f41982,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f41981]) ).
thf(f41983,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f41980]) ).
thf(f41996,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107 ),
inference(constrained_superposition,[],[f57,f2552]) ).
thf(f41997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_107 ),
inference(constrained_superposition,[],[f29,f2552]) ).
thf(f41998,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f41997]) ).
thf(f41999,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f41996]) ).
thf(f42000,plain,
( spl2_117
| spl2_31
| ~ spl2_107 ),
inference(avatar_split_clause,[],[f41998,f2551,f263,f2618]) ).
thf(f42001,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| spl2_95
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f41999,f2510]) ).
thf(f42002,plain,
( spl2_116
| spl2_29
| spl2_95
| ~ spl2_107 ),
inference(avatar_split_clause,[],[f42001,f2551,f2509,f256,f2614]) ).
thf(f42032,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_103 ),
inference(constrained_superposition,[],[f29,f2538]) ).
thf(f42034,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f42032]) ).
thf(f42035,plain,
( spl2_132
| spl2_116
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f42034,f2537,f2614,f3111]) ).
thf(f42052,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_97 ),
inference(constrained_superposition,[],[f21296,f51]) ).
thf(f42055,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f42052]) ).
thf(f42057,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f42055,f48]) ).
thf(f42060,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_97 ),
inference(constrained_superposition,[],[f152,f42057]) ).
thf(f42062,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_97 ),
inference(constrained_superposition,[],[f72,f42057]) ).
thf(f42063,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| spl2_97 ),
inference(constrained_superposition,[],[f625,f42057]) ).
thf(f42072,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f42063]) ).
thf(f42082,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f42060]) ).
thf(f42084,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f42062]) ).
thf(f42136,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_349
| ~ spl2_468 ),
inference(constrained_superposition,[],[f41857,f51]) ).
thf(f42139,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f42136]) ).
thf(f42141,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_349
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f42139,f48]) ).
thf(f42163,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_349
| ~ spl2_468 ),
inference(constrained_superposition,[],[f625,f42141]) ).
thf(f42174,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_349
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f42163]) ).
thf(f42188,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_349
| ~ spl2_353
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f42174,f41856]) ).
thf(f42192,plain,
( ~ spl2_6
| spl2_39
| ~ spl2_349
| ~ spl2_353
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f42188,f18946,f9514,f9500,f375,f99]) ).
thf(f42197,plain,
( spl2_432
| spl2_349
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f40266,f9533,f9500,f12834]) ).
thf(f42245,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f29,f9494]) ).
thf(f42246,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f42245]) ).
thf(f42248,plain,
( spl2_360
| spl2_374
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f42246,f9493,f9924,f9549]) ).
thf(f42255,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f2615,f134]) ).
thf(f42262,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f42255]) ).
thf(f42339,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_343 ),
inference(constrained_superposition,[],[f41843,f51]) ).
thf(f42342,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_173
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f42339]) ).
thf(f42344,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_109
| ~ spl2_173
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f42342,f3747]) ).
thf(f42346,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_109
| ~ spl2_173
| ~ spl2_343 ),
inference(constrained_superposition,[],[f152,f42344]) ).
thf(f42365,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_109
| ~ spl2_173
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f42346]) ).
thf(f42371,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_109
| spl2_112
| ~ spl2_173
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f42365,f7257]) ).
thf(f42373,plain,
( ~ spl2_240
| spl2_241
| spl2_109
| spl2_112
| ~ spl2_173
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f42371,f9267,f5260,f2569,f2558,f6939,f6935]) ).
thf(f42402,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f604,f6508]) ).
thf(f42403,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_225
| ~ spl2_329 ),
inference(constrained_superposition,[],[f8997,f6508]) ).
thf(f42404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f57,f6508]) ).
thf(f42405,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f29,f6508]) ).
thf(f42406,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f42405]) ).
thf(f42407,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_225
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f42403]) ).
thf(f42408,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f42404]) ).
thf(f42409,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f42402]) ).
thf(f42410,plain,
( spl2_268
| spl2_305
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f42406,f6507,f8200,f7223]) ).
thf(f42474,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_374 ),
inference(constrained_superposition,[],[f9925,f134]) ).
thf(f42479,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f42474]) ).
thf(f42484,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_177
| ~ spl2_378 ),
inference(constrained_superposition,[],[f10017,f5275]) ).
thf(f42487,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_177
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f42484]) ).
thf(f42492,plain,
( $false
| ~ spl2_147
| ~ spl2_177
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f42487,f4163]) ).
thf(f42493,plain,
( ~ spl2_147
| ~ spl2_177
| ~ spl2_378 ),
inference(avatar_contradiction_clause,[],[f42492]) ).
thf(f42513,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_225
| ~ spl2_329 ),
inference(constrained_superposition,[],[f42407,f51]) ).
thf(f42515,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_225
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f42513]) ).
thf(f42517,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f42515,f3747]) ).
thf(f42519,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| spl2_109
| ~ spl2_225
| ~ spl2_329
| ~ spl2_386 ),
inference(constrained_superposition,[],[f10258,f42517]) ).
thf(f42520,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(constrained_superposition,[],[f152,f42517]) ).
thf(f42521,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(constrained_superposition,[],[f125,f42517]) ).
thf(f42523,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(constrained_superposition,[],[f625,f42517]) ).
thf(f42533,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_109
| ~ spl2_225
| ~ spl2_329
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f42519]) ).
thf(f42534,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f42520]) ).
thf(f42537,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f42523]) ).
thf(f42540,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f42521]) ).
thf(f42545,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_109
| ~ spl2_153
| ~ spl2_225
| ~ spl2_329
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f42533,f4183]) ).
thf(f42547,plain,
( ~ spl2_239
| spl2_109
| ~ spl2_153
| ~ spl2_225
| ~ spl2_329
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f42545,f10257,f8996,f6507,f4182,f2558,f6932]) ).
thf(f42553,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f59,f5264]) ).
thf(f42561,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f42553]) ).
thf(f42574,plain,
( spl2_187
| spl2_193
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f42561,f5263,f5397,f5337]) ).
thf(f42650,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231
| ~ spl2_476 ),
inference(constrained_superposition,[],[f20786,f6530]) ).
thf(f42657,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_353
| ~ spl2_476 ),
inference(constrained_superposition,[],[f20786,f9515]) ).
thf(f42668,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_353
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f42657]) ).
thf(f42669,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f42650]) ).
thf(f42670,plain,
( $false
| ~ spl2_103
| ~ spl2_353
| ~ spl2_476 ),
inference(forward_subsumption_resolution,[],[f42668,f2538]) ).
thf(f42671,plain,
( ~ spl2_103
| ~ spl2_353
| ~ spl2_476 ),
inference(avatar_contradiction_clause,[],[f42670]) ).
thf(f42672,plain,
( $false
| ~ spl2_194
| ~ spl2_231
| ~ spl2_476 ),
inference(forward_subsumption_resolution,[],[f42669,f5402]) ).
thf(f42673,plain,
( ~ spl2_194
| ~ spl2_231
| ~ spl2_476 ),
inference(avatar_contradiction_clause,[],[f42672]) ).
thf(f42681,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_225
| ~ spl2_267 ),
inference(constrained_superposition,[],[f7221,f6508]) ).
thf(f42691,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_225
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f42681]) ).
thf(f42692,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_267 ),
inference(constrained_superposition,[],[f42691,f51]) ).
thf(f42694,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_225
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f42692]) ).
thf(f42707,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_369 ),
inference(constrained_superposition,[],[f9743,f41973]) ).
thf(f42710,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f42707]) ).
thf(f42718,plain,
( $false
| ~ spl2_18
| ~ spl2_20
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f42710,f2850]) ).
thf(f42719,plain,
( ~ spl2_18
| ~ spl2_20
| ~ spl2_369 ),
inference(avatar_contradiction_clause,[],[f42718]) ).
thf(f42720,plain,
( spl2_128
| spl2_112
| ~ spl2_33
| spl2_97 ),
inference(avatar_split_clause,[],[f42082,f2516,f318,f2569,f3020]) ).
thf(f42722,plain,
( $false
| ~ spl2_20
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f8385,f194]) ).
thf(f42723,plain,
( ~ spl2_20
| ~ spl2_45 ),
inference(avatar_contradiction_clause,[],[f42722]) ).
thf(f42726,plain,
( spl2_128
| ~ spl2_102
| spl2_373
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f41248,f10012,f9765,f2533,f3020]) ).
thf(f42727,plain,
( spl2_222
| ~ spl2_35
| spl2_155
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f39364,f8205,f4189,f325,f6445]) ).
thf(f42728,plain,
( spl2_20
| spl2_9
| spl2_4
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f41983,f165,f92,f114,f193]) ).
thf(f42729,plain,
( spl2_467
| spl2_106
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f41272,f10087,f2547,f17435]) ).
thf(f42734,plain,
( spl2_103
| spl2_286
| ~ spl2_239
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f42537,f8996,f6507,f2558,f6932,f7566,f2537]) ).
thf(f42735,plain,
( ~ spl2_77
| spl2_133
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f42262,f2614,f3338,f1953]) ).
thf(f42736,plain,
( spl2_362
| ~ spl2_77
| ~ spl2_374 ),
inference(avatar_split_clause,[],[f42479,f9924,f1953,f9556]) ).
thf(f42738,plain,
( spl2_21
| spl2_22
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f41982,f165,f201,f198]) ).
thf(f42739,plain,
( spl2_103
| ~ spl2_6
| spl2_39
| spl2_97 ),
inference(avatar_split_clause,[],[f42072,f2516,f375,f99,f2537]) ).
thf(f42740,plain,
( spl2_185
| ~ spl2_155
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f41844,f9267,f4189,f5329]) ).
thf(f42741,plain,
( ~ spl2_240
| spl2_241
| spl2_112
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f42534,f8996,f6507,f2558,f2569,f6939,f6935]) ).
thf(f42742,plain,
( spl2_106
| spl2_127
| spl2_97 ),
inference(avatar_split_clause,[],[f42084,f2516,f3015,f2547]) ).
thf(f42743,plain,
( spl2_174
| spl2_197
| ~ spl2_225
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f42694,f7220,f6507,f5426,f5263]) ).
thf(f42744,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_97
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f42540,f21296]) ).
thf(f42745,plain,
( spl2_286
| spl2_155
| ~ spl2_25
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f40058,f4182,f227,f4189,f7566]) ).
thf(f42747,plain,
( ~ spl2_217
| spl2_250
| spl2_97
| spl2_109
| ~ spl2_225
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f42744,f8996,f6507,f2558,f2516,f7027,f6407]) ).
thf(f42748,plain,
( spl2_306
| spl2_268
| ~ spl2_288
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f42409,f6507,f7630,f7223,f8205]) ).
thf(f42750,plain,
( ~ spl2_368
| spl2_369
| spl2_97
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f41282,f10087,f2516,f9742,f9739]) ).
thf(f42751,plain,
( spl2_179
| spl2_198
| spl2_322
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f42408,f6507,f8759,f5430,f5305]) ).
thf(f42752,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_147 ),
inference(avatar_component_clause,[],[f4162]) ).
thf(f42753,plain,
( spl2_179
| ~ spl2_147
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f41842,f9267,f4162,f5305]) ).
thf(f42755,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f59,f195]) ).
thf(f42763,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f42755]) ).
thf(f42771,plain,
( spl2_23
| spl2_1
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f42763,f92,f75,f209]) ).
thf(f42773,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| spl2_1 ),
inference(constrained_superposition,[],[f14701,f1579]) ).
thf(f42774,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X1 ) ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f42773]) ).
thf(f42775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f42774,f48]) ).
thf(f42776,plain,
( spl2_340
| spl2_339
| spl2_1 ),
inference(avatar_split_clause,[],[f42775,f75,f9158,f9161]) ).
thf(f42778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_116
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2615,f2667]) ).
thf(f42780,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_118
| ~ spl2_225 ),
inference(constrained_superposition,[],[f6508,f2667]) ).
thf(f42781,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_118
| ~ spl2_285 ),
inference(constrained_superposition,[],[f7561,f2667]) ).
thf(f42782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_118
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9268,f2667]) ).
thf(f42783,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_118
| spl2_350 ),
inference(constrained_superposition,[],[f9505,f2667]) ).
thf(f42784,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_118
| ~ spl2_353 ),
inference(constrained_superposition,[],[f9515,f2667]) ).
thf(f42789,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118
| spl2_152 ),
inference(constrained_superposition,[],[f21294,f2667]) ).
thf(f42795,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f604,f2667]) ).
thf(f42800,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f62,f2667]) ).
thf(f42807,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f134,f2667]) ).
thf(f42810,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f152,f2667]) ).
thf(f42811,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f604,f2667]) ).
thf(f42815,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_118
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3788,f2667]) ).
thf(f42816,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118
| ~ spl2_265 ),
inference(constrained_superposition,[],[f7147,f2667]) ).
thf(f42847,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_118 ),
inference(duplicate_literal_removal,[],[f42810]) ).
thf(f42848,plain,
( spl2_131
| ~ spl2_118
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f42782,f9267,f2666,f3108]) ).
thf(f42855,plain,
( spl2_21
| spl2_35
| spl2_124
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f42811,f2666,f2879,f325,f198]) ).
thf(f42857,plain,
( spl2_9
| ~ spl2_116
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f42778,f2666,f2614,f114]) ).
thf(f42858,plain,
( spl2_312
| spl2_45
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f42847,f2666,f618,f8417]) ).
thf(f42859,plain,
( spl2_37
| ~ spl2_118
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f42781,f7560,f2666,f367]) ).
thf(f42860,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_118
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f42815,f3787,f2666,f618,f179]) ).
thf(f42861,plain,
( ~ spl2_79
| ~ spl2_118
| spl2_152 ),
inference(avatar_split_clause,[],[f42789,f4178,f2666,f1964]) ).
thf(f42863,plain,
( spl2_45
| spl2_35
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f42807,f2666,f325,f618]) ).
thf(f42864,plain,
( spl2_147
| ~ spl2_118
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f42784,f9514,f2666,f4162]) ).
thf(f42865,plain,
( spl2_112
| ~ spl2_118
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f42780,f6507,f2666,f2569]) ).
thf(f42866,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f42800,f106]) ).
thf(f42868,plain,
( ~ spl2_6
| spl2_79
| ~ spl2_118
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f42816,f7146,f2666,f1964,f99]) ).
thf(f42869,plain,
( ~ spl2_239
| ~ spl2_118
| spl2_350 ),
inference(avatar_split_clause,[],[f42783,f9504,f2666,f6932]) ).
thf(f42870,plain,
( spl2_10
| spl2_18
| spl2_24
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f42795,f2666,f223,f182,f117]) ).
thf(f42871,plain,
( spl2_79
| spl2_8
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f42866,f2666,f105,f1964]) ).
thf(f42872,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_118 ),
inference(extensionality_resolution,[],[f135,f5205]) ).
thf(f42873,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_118 ),
inference(extensionality_resolution,[],[f135,f5205]) ).
thf(f42874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_118 ),
inference(extensionality_resolution,[],[f637,f5205]) ).
thf(f42879,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_118 ),
inference(extensionality_resolution,[],[f64,f5205]) ).
thf(f42884,plain,
( spl2_175
| spl2_176
| spl2_118 ),
inference(avatar_split_clause,[],[f42873,f2666,f5270,f5267]) ).
thf(f42886,plain,
( spl2_174
| spl2_173
| spl2_118 ),
inference(avatar_split_clause,[],[f42879,f2666,f5260,f5263]) ).
thf(f42888,plain,
( spl2_177
| spl2_178
| spl2_118 ),
inference(avatar_split_clause,[],[f42872,f2666,f5277,f5274]) ).
thf(f42898,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f29,f9079]) ).
thf(f42899,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f42898]) ).
thf(f42900,plain,
( spl2_27
| spl2_21
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f42899,f1953,f198,f233]) ).
thf(f42902,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f125,f2612]) ).
thf(f42903,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f72,f2612]) ).
thf(f42905,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f59,f2612]) ).
thf(f42912,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f42905]) ).
thf(f42913,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f42902]) ).
thf(f42919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f42903]) ).
thf(f42924,plain,
( spl2_107
| spl2_386
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f42912,f2509,f10257,f2551]) ).
thf(f42925,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f42913,f195]) ).
thf(f42927,plain,
( spl2_106
| spl2_119
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f42919,f2509,f2670,f2547]) ).
thf(f42928,plain,
( spl2_97
| spl2_39
| ~ spl2_4
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f42925,f2509,f92,f375,f2516]) ).
thf(f42935,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f625,f2850]) ).
thf(f42936,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f59,f2850]) ).
thf(f42937,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f637,f2850]) ).
thf(f42945,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f42935]) ).
thf(f42946,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f42936]) ).
thf(f42951,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f42937]) ).
thf(f42964,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f57,f2517]) ).
thf(f42965,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f29,f2517]) ).
thf(f42968,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f42965]) ).
thf(f42969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f42964]) ).
thf(f42970,plain,
( spl2_132
| spl2_232
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f42968,f2516,f6548,f3111]) ).
thf(f42978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f29,f2548]) ).
thf(f42980,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f42978]) ).
thf(f42981,plain,
( spl2_10
| spl2_208
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f42980,f2547,f6019,f117]) ).
thf(f42987,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f29,f4193]) ).
thf(f42989,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f42987]) ).
thf(f42990,plain,
( spl2_154
| spl2_268
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f42989,f4192,f7223,f4185]) ).
thf(f43002,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f57,f4163]) ).
thf(f43003,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f29,f4163]) ).
thf(f43004,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f43002]) ).
thf(f43005,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f43003]) ).
thf(f43006,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_147
| spl2_153 ),
inference(forward_subsumption_resolution,[],[f43004,f4214]) ).
thf(f43007,plain,
( spl2_31
| spl2_245
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f43005,f4162,f6967,f263]) ).
thf(f43008,plain,
( spl2_29
| spl2_154
| ~ spl2_147
| spl2_153 ),
inference(avatar_split_clause,[],[f43006,f4182,f4162,f4185,f256]) ).
thf(f43010,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 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f29,f2570]) ).
thf(f43011,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f43010]) ).
thf(f43013,plain,
( spl2_21
| spl2_130
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f43011,f2569,f3088,f198]) ).
thf(f43020,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f57,f5338]) ).
thf(f43021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f29,f5338]) ).
thf(f43022,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f43021]) ).
thf(f43023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f43020]) ).
thf(f43024,plain,
( spl2_31
| spl2_199
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f43022,f5337,f5434,f263]) ).
thf(f43025,plain,
( spl2_198
| spl2_179
| spl2_29
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f43023,f5337,f256,f5305,f5430]) ).
thf(f43036,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f29,f5949]) ).
thf(f43038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f43036]) ).
thf(f43039,plain,
( spl2_198
| spl2_182
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f43038,f5948,f5316,f5430]) ).
thf(f43081,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_155 ),
inference(constrained_superposition,[],[f57,f4190]) ).
thf(f43082,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_155 ),
inference(constrained_superposition,[],[f29,f4190]) ).
thf(f43083,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f43081]) ).
thf(f43084,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f43082]) ).
thf(f43085,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_153
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f43083,f4214]) ).
thf(f43086,plain,
( spl2_20
| spl2_154
| spl2_153
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f43085,f4189,f4182,f4185,f193]) ).
thf(f43087,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f57,f5380]) ).
thf(f43088,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f29,f5380]) ).
thf(f43089,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f43087]) ).
thf(f43090,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f43088]) ).
thf(f43092,plain,
( spl2_326
| spl2_10
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f43090,f5379,f117,f8825]) ).
thf(f43095,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f57,f5410]) ).
thf(f43096,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f29,f5410]) ).
thf(f43098,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f43096]) ).
thf(f43099,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f43095]) ).
thf(f43100,plain,
( spl2_428
| spl2_182
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f43098,f5409,f5316,f12780]) ).
thf(f43113,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_285
| ~ spl2_306 ),
inference(constrained_superposition,[],[f7561,f8206]) ).
thf(f43114,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f2486,f8206]) ).
thf(f43116,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f125,f8206]) ).
thf(f43117,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f72,f8206]) ).
thf(f43119,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f59,f8206]) ).
thf(f43129,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f43116]) ).
thf(f43133,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_285
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f43113]) ).
thf(f43134,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f43117]) ).
thf(f43138,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f43114]) ).
thf(f43140,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f43119]) ).
thf(f43141,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f43129,f2850]) ).
thf(f43142,plain,
( spl2_407
| spl2_157
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f43134,f8205,f4195,f11472]) ).
thf(f43144,plain,
( spl2_396
| spl2_237
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f43138,f8205,f6924,f10675]) ).
thf(f43145,plain,
( spl2_159
| spl2_42
| ~ spl2_18
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f43141,f8205,f182,f555,f4207]) ).
thf(f43163,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f29,f5323]) ).
thf(f43166,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f43163]) ).
thf(f43167,plain,
( spl2_268
| spl2_267
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f43166,f5322,f7220,f7223]) ).
thf(f43168,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f2486,f5330]) ).
thf(f43187,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f43168]) ).
thf(f43195,plain,
( spl2_194
| spl2_320
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f43187,f5329,f8741,f5401]) ).
thf(f43233,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_349 ),
inference(constrained_superposition,[],[f29,f9501]) ).
thf(f43234,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f43233]) ).
thf(f43236,plain,
( spl2_466
| spl2_10
| ~ spl2_349 ),
inference(avatar_split_clause,[],[f43234,f9500,f117,f17079]) ).
thf(f43237,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_116
| ~ spl2_237 ),
inference(constrained_superposition,[],[f2615,f6925]) ).
thf(f43239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f57,f6925]) ).
thf(f43240,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f29,f6925]) ).
thf(f43242,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f43240]) ).
thf(f43243,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_116
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f43237]) ).
thf(f43244,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f43239]) ).
thf(f43245,plain,
( spl2_271
| spl2_132
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f43242,f6924,f3111,f7252]) ).
thf(f43246,plain,
( $false
| ~ spl2_116
| ~ spl2_156
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f43243,f4193]) ).
thf(f43247,plain,
( ~ spl2_116
| ~ spl2_156
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f43246]) ).
thf(f43248,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_153
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f43244,f4214]) ).
thf(f43249,plain,
( spl2_139
| spl2_154
| spl2_153
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f43248,f6924,f4182,f4185,f3493]) ).
thf(f43250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f57,f6422]) ).
thf(f43253,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f43250]) ).
thf(f43254,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_179
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f43253,f8771]) ).
thf(f43255,plain,
( spl2_198
| spl2_20
| spl2_179
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f43254,f6033,f5305,f193,f5430]) ).
thf(f43295,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_373 ),
inference(constrained_superposition,[],[f29,f9766]) ).
thf(f43297,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f43295]) ).
thf(f43300,plain,
( spl2_360
| spl2_437
| ~ spl2_373 ),
inference(avatar_split_clause,[],[f43297,f9765,f13946,f9549]) ).
thf(f43344,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6549,f134]) ).
thf(f43354,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f43344]) ).
thf(f43431,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f2486,f5264]) ).
thf(f43455,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f43431]) ).
thf(f43458,plain,
( spl2_194
| spl2_195
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f43455,f5263,f5404,f5401]) ).
thf(f43467,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_362 ),
inference(constrained_superposition,[],[f625,f9557]) ).
thf(f43483,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f43467]) ).
thf(f43500,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f72,f8753]) ).
thf(f43501,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f625,f8753]) ).
thf(f43511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f43500]) ).
thf(f43514,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f43501]) ).
thf(f43607,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_377 ),
inference(constrained_superposition,[],[f23474,f27]) ).
thf(f43609,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_377 ),
inference(trivial_inequality_removal,[],[f43607]) ).
thf(f43612,plain,
( spl2_484
| spl2_470
| spl2_377 ),
inference(avatar_split_clause,[],[f43609,f10012,f19066,f24251]) ).
thf(f43616,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_208
| ~ spl2_484 ),
inference(constrained_superposition,[],[f6020,f24252]) ).
thf(f43618,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f29,f24252]) ).
thf(f43619,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_208
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f43616]) ).
thf(f43620,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f43618]) ).
thf(f43624,plain,
( $false
| ~ spl2_208
| ~ spl2_349
| ~ spl2_484 ),
inference(forward_subsumption_resolution,[],[f43619,f9501]) ).
thf(f43625,plain,
( ~ spl2_208
| ~ spl2_349
| ~ spl2_484 ),
inference(avatar_contradiction_clause,[],[f43624]) ).
thf(f43626,plain,
( spl2_485
| spl2_360
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f43620,f24251,f9549,f24269]) ).
thf(f43627,plain,
( ~ spl2_25
| ~ spl2_133
| ~ spl2_285
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f43133,f8205,f7560,f3338,f227]) ).
thf(f43629,plain,
( ~ spl2_13
| spl2_133
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f43354,f6548,f3338,f165]) ).
thf(f43630,plain,
( spl2_139
| spl2_9
| spl2_4
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f42969,f2516,f92,f114,f3493]) ).
thf(f43631,plain,
( spl2_274
| spl2_103
| ~ spl2_273
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f43514,f8752,f7450,f2537,f7453]) ).
thf(f43633,plain,
( spl2_21
| spl2_251
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f43084,f4189,f7051,f198]) ).
thf(f43634,plain,
( spl2_404
| spl2_147
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f43140,f8205,f4162,f11219]) ).
thf(f43637,plain,
( spl2_29
| spl2_374
| spl2_358
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f40225,f9514,f9533,f9924,f256]) ).
thf(f43638,plain,
( ~ spl2_17
| spl2_50
| spl2_421
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f42945,f182,f12039,f786,f179]) ).
thf(f43639,plain,
( spl2_50
| ~ spl2_17
| spl2_347
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f43483,f9556,f9493,f179,f786]) ).
thf(f43640,plain,
( spl2_408
| spl2_106
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f43511,f8752,f2547,f11476]) ).
thf(f43641,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_95
| spl2_118 ),
inference(forward_subsumption_resolution,[],[f42874,f2612]) ).
thf(f43643,plain,
( ~ spl2_4
| spl2_12
| spl2_419
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f42951,f182,f12030,f161,f92]) ).
thf(f43644,plain,
( spl2_395
| spl2_1
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f42946,f182,f75,f10452]) ).
thf(f43645,plain,
( spl2_9
| spl2_4
| spl2_393
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f43099,f5409,f10342,f92,f114]) ).
thf(f43646,plain,
( spl2_179
| spl2_26
| spl2_198
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f43089,f5379,f5430,f230,f5305]) ).
thf(f43648,plain,
( ~ spl2_4
| spl2_106
| spl2_425
| ~ spl2_95
| spl2_118 ),
inference(avatar_split_clause,[],[f43641,f2666,f2509,f12237,f2547,f92]) ).
thf(f43649,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f57,f76]) ).
thf(f43650,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f29,f76]) ).
thf(f43651,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f43650]) ).
thf(f43652,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f43649]) ).
thf(f43653,plain,
( spl2_31
| spl2_32
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f43651,f75,f271,f263]) ).
thf(f43654,plain,
( spl2_4
| spl2_29
| spl2_9
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f43652,f75,f114,f256,f92]) ).
thf(f43655,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_421 ),
inference(constrained_superposition,[],[f29,f12040]) ).
thf(f43656,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f43655]) ).
thf(f43657,plain,
( spl2_9
| spl2_10
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f43656,f12039,f117,f114]) ).
thf(f43664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f57,f162]) ).
thf(f43665,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f29,f162]) ).
thf(f43666,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f43665]) ).
thf(f43667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f43664]) ).
thf(f43668,plain,
( spl2_30
| spl2_31
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f43666,f161,f263,f260]) ).
thf(f43669,plain,
( spl2_29
| spl2_25
| spl2_27
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f43667,f161,f233,f227,f256]) ).
thf(f43683,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f671,f228]) ).
thf(f43690,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f43683]) ).
thf(f43697,plain,
( spl2_65
| spl2_64
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f43690,f227,f1188,f1191]) ).
thf(f43790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f29,f2675]) ).
thf(f43792,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f43790]) ).
thf(f43795,plain,
( spl2_131
| spl2_132
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f43792,f2674,f3111,f3108]) ).
thf(f43796,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f2486,f5306]) ).
thf(f43797,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f152,f5306]) ).
thf(f43801,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f59,f5306]) ).
thf(f43810,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f43801]) ).
thf(f43812,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f43797]) ).
thf(f43814,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f43796]) ).
thf(f43822,plain,
( spl2_291
| spl2_187
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f43810,f5305,f5337,f7645]) ).
thf(f43823,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_25
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f43812,f228]) ).
thf(f43824,plain,
( spl2_292
| spl2_194
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f43814,f5305,f5401,f7649]) ).
thf(f43825,plain,
( spl2_211
| spl2_274
| ~ spl2_25
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f43823,f5305,f227,f7453,f6033]) ).
thf(f43846,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f2486,f9922]) ).
thf(f43847,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f152,f9922]) ).
thf(f43862,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f43846]) ).
thf(f43869,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f43847]) ).
thf(f43871,plain,
( spl2_354
| spl2_431
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f43862,f9533,f12829,f9518]) ).
thf(f43873,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_25
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f43869,f228]) ).
thf(f43874,plain,
( spl2_345
| spl2_406
| ~ spl2_25
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f43873,f9533,f227,f11461,f9486]) ).
thf(f43886,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f2486,f5394]) ).
thf(f43889,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f72,f5394]) ).
thf(f43891,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f59,f5394]) ).
thf(f43901,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f43889]) ).
thf(f43907,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f43886]) ).
thf(f43911,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f43891]) ).
thf(f43914,plain,
( spl2_238
| spl2_157
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f43901,f5393,f4195,f6928]) ).
thf(f43915,plain,
( spl2_237
| spl2_236
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f43907,f5393,f6921,f6924]) ).
thf(f43917,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_147
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f43911,f42752]) ).
thf(f43920,plain,
( spl2_242
| spl2_147
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f43917,f5393,f4162,f6943]) ).
thf(f43930,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f625,f5938]) ).
thf(f43950,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f43930]) ).
thf(f43953,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_77
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f43950,f1954]) ).
thf(f43955,plain,
( ~ spl2_273
| spl2_274
| spl2_77
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f43953,f5937,f1953,f7453,f7450]) ).
thf(f43959,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_288 ),
inference(constrained_superposition,[],[f29,f7631]) ).
thf(f43962,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f43959]) ).
thf(f43964,plain,
( spl2_300
| spl2_182
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f43962,f7630,f5316,f7829]) ).
thf(f43983,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f604,f5261]) ).
thf(f43985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f29,f5261]) ).
thf(f43986,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f43985]) ).
thf(f43987,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f43983]) ).
thf(f43989,plain,
( spl2_181
| spl2_182
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f43986,f5260,f5316,f5313]) ).
thf(f43990,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_120
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f43987,f2675]) ).
thf(f43991,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_120
| ~ spl2_173
| spl2_185 ),
inference(forward_subsumption_resolution,[],[f43990,f29770]) ).
thf(f43992,plain,
( spl2_182
| ~ spl2_120
| ~ spl2_173
| spl2_185 ),
inference(avatar_split_clause,[],[f43991,f5329,f5260,f2674,f5316]) ).
thf(f44061,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_182
| ~ spl2_188 ),
inference(constrained_superposition,[],[f5317,f5380]) ).
thf(f44063,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_182
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f44061]) ).
thf(f44065,plain,
( spl2_26
| ~ spl2_182
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f44063,f5379,f5316,f230]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f80]) ).
cnf(s3,plain,
( ~ spl2_2
| ~ spl2_6
| spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f107]) ).
cnf(s5,plain,
( spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f163]) ).
cnf(s7,plain,
( spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s15,plain,
( spl2_15
| spl2_18 ),
inference(sat_conversion,[],[f240]) ).
cnf(s16,plain,
( spl2_15
| spl2_18
| spl2_28 ),
inference(sat_conversion,[],[f244]) ).
cnf(s17,plain,
( spl2_12
| spl2_17 ),
inference(sat_conversion,[],[f250]) ).
cnf(s23,plain,
( spl2_4
| spl2_26
| ~ spl2_31 ),
inference(sat_conversion,[],[f280]) ).
cnf(s24,plain,
( ~ spl2_1
| ~ spl2_26 ),
inference(sat_conversion,[],[f285]) ).
cnf(s26,plain,
( ~ spl2_11
| ~ spl2_17
| spl2_34
| ~ spl2_35 ),
inference(sat_conversion,[],[f327]) ).
cnf(s27,plain,
( ~ spl2_4
| ~ spl2_16
| ~ spl2_25
| spl2_36 ),
inference(sat_conversion,[],[f348]) ).
cnf(s28,plain,
( spl2_20
| spl2_25
| ~ spl2_31 ),
inference(sat_conversion,[],[f356]) ).
cnf(s34,plain,
( spl2_4
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f385]) ).
cnf(s37,plain,
( ~ spl2_1
| ~ spl2_15
| ~ spl2_30 ),
inference(sat_conversion,[],[f417]) ).
cnf(s38,plain,
( spl2_4
| ~ spl2_12
| ~ spl2_24 ),
inference(sat_conversion,[],[f423]) ).
cnf(s41,plain,
( spl2_13
| spl2_33 ),
inference(sat_conversion,[],[f498]) ).
cnf(s47,plain,
( ~ spl2_45
| spl2_46 ),
inference(sat_conversion,[],[f623]) ).
cnf(s48,plain,
( spl2_15
| ~ spl2_25
| spl2_47 ),
inference(sat_conversion,[],[f694]) ).
cnf(s49,plain,
( ~ spl2_17
| ~ spl2_25
| spl2_48 ),
inference(sat_conversion,[],[f699]) ).
cnf(s51,plain,
( ~ spl2_1
| ~ spl2_10
| spl2_29 ),
inference(sat_conversion,[],[f715]) ).
cnf(s52,plain,
( spl2_4
| ~ spl2_29 ),
inference(sat_conversion,[],[f720]) ).
cnf(s53,plain,
( ~ spl2_9
| ~ spl2_17
| ~ spl2_24
| spl2_49
| spl2_50 ),
inference(sat_conversion,[],[f788]) ).
cnf(s54,plain,
( spl2_36
| ~ spl2_50 ),
inference(sat_conversion,[],[f804]) ).
cnf(s62,plain,
( spl2_21
| ~ spl2_36
| spl2_56 ),
inference(sat_conversion,[],[f882]) ).
cnf(s64,plain,
( ~ spl2_24
| ~ spl2_33
| spl2_42
| spl2_58 ),
inference(sat_conversion,[],[f993]) ).
cnf(s67,plain,
( ~ spl2_15
| ~ spl2_21
| spl2_26 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s76,plain,
( spl2_13
| ~ spl2_17
| spl2_71 ),
inference(sat_conversion,[],[f1386]) ).
cnf(s83,plain,
( ~ spl2_58
| ~ spl2_79
| spl2_80 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s84,plain,
( spl2_13
| spl2_15
| spl2_81 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s103,plain,
( spl2_105
| spl2_106 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s106,plain,
( spl2_103
| spl2_110 ),
inference(sat_conversion,[],[f2564]) ).
cnf(s107,plain,
( spl2_111
| spl2_112 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s111,plain,
( spl2_95
| spl2_103 ),
inference(sat_conversion,[],[f2595]) ).
cnf(s112,plain,
( spl2_98
| spl2_107 ),
inference(sat_conversion,[],[f2600]) ).
cnf(s119,plain,
( ~ spl2_47
| ~ spl2_95
| spl2_106
| spl2_109
| spl2_118
| spl2_120 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s120,plain,
( ~ spl2_25
| ~ spl2_95
| spl2_109
| spl2_112
| spl2_121 ),
inference(sat_conversion,[],[f2680]) ).
cnf(s123,plain,
( ~ spl2_37
| ~ spl2_95
| spl2_106
| spl2_112 ),
inference(sat_conversion,[],[f2690]) ).
cnf(s124,plain,
( spl2_4
| ~ spl2_95
| ~ spl2_118 ),
inference(sat_conversion,[],[f2839]) ).
cnf(s134,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(sat_conversion,[],[f2885]) ).
cnf(s135,plain,
( ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_118 ),
inference(sat_conversion,[],[f2893]) ).
cnf(s140,plain,
( spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_118 ),
inference(sat_conversion,[],[f2906]) ).
cnf(s141,plain,
( spl2_12
| spl2_45
| ~ spl2_50
| ~ spl2_118 ),
inference(sat_conversion,[],[f2908]) ).
cnf(s145,plain,
( spl2_15
| ~ spl2_37
| spl2_45
| spl2_77
| ~ spl2_118 ),
inference(sat_conversion,[],[f2916]) ).
cnf(s146,plain,
( ~ spl2_18
| ~ spl2_25
| ~ spl2_37
| spl2_45
| ~ spl2_118 ),
inference(sat_conversion,[],[f2917]) ).
cnf(s148,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_118 ),
inference(sat_conversion,[],[f2921]) ).
cnf(s150,plain,
( spl2_13
| ~ spl2_18
| spl2_81 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s152,plain,
( spl2_102
| spl2_106 ),
inference(sat_conversion,[],[f2973]) ).
cnf(s159,plain,
( ~ spl2_37
| ~ spl2_95
| ~ spl2_102
| spl2_112 ),
inference(sat_conversion,[],[f3064]) ).
cnf(s166,plain,
( ~ spl2_102
| ~ spl2_105
| ~ spl2_134
| spl2_135 ),
inference(sat_conversion,[],[f3347]) ).
cnf(s170,plain,
( ~ spl2_121
| spl2_132
| spl2_133
| spl2_137 ),
inference(sat_conversion,[],[f3486]) ).
cnf(s173,plain,
( ~ spl2_107
| ~ spl2_139 ),
inference(sat_conversion,[],[f3515]) ).
cnf(s174,plain,
( ~ spl2_112
| ~ spl2_139 ),
inference(sat_conversion,[],[f3520]) ).
cnf(s175,plain,
( ~ spl2_37
| spl2_103
| ~ spl2_139 ),
inference(sat_conversion,[],[f3528]) ).
cnf(s250,plain,
( spl2_152
| spl2_158
| ~ spl2_197 ),
inference(sat_conversion,[],[f5600]) ).
cnf(s253,plain,
( ~ spl2_96
| ~ spl2_102
| spl2_128
| spl2_152
| ~ spl2_197 ),
inference(sat_conversion,[],[f5610]) ).
cnf(s254,plain,
( spl2_134
| spl2_152
| ~ spl2_197 ),
inference(sat_conversion,[],[f5611]) ).
cnf(s256,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_144
| ~ spl2_197 ),
inference(sat_conversion,[],[f5615]) ).
cnf(s267,plain,
( spl2_13
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_197 ),
inference(sat_conversion,[],[f5648]) ).
cnf(s279,plain,
( ~ spl2_96
| ~ spl2_102
| spl2_128
| spl2_152
| ~ spl2_186 ),
inference(sat_conversion,[],[f5837]) ).
cnf(s280,plain,
( spl2_12
| ~ spl2_36
| spl2_45
| ~ spl2_186 ),
inference(sat_conversion,[],[f5844]) ).
cnf(s281,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_144
| ~ spl2_186 ),
inference(sat_conversion,[],[f5845]) ).
cnf(s282,plain,
( ~ spl2_17
| ~ spl2_25
| spl2_45
| spl2_50
| ~ spl2_186 ),
inference(sat_conversion,[],[f5849]) ).
cnf(s283,plain,
( spl2_35
| spl2_45
| ~ spl2_186 ),
inference(sat_conversion,[],[f5851]) ).
cnf(s288,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_186 ),
inference(sat_conversion,[],[f5862]) ).
cnf(s292,plain,
( spl2_13
| ~ spl2_18
| spl2_45
| ~ spl2_75
| ~ spl2_186 ),
inference(sat_conversion,[],[f5872]) ).
cnf(s304,plain,
( ~ spl2_130
| ~ spl2_173
| spl2_184
| spl2_202 ),
inference(sat_conversion,[],[f5939]) ).
cnf(s308,plain,
( ~ spl2_21
| ~ spl2_120
| spl2_139 ),
inference(sat_conversion,[],[f5972]) ).
cnf(s309,plain,
( ~ spl2_18
| ~ spl2_102
| spl2_112
| spl2_206 ),
inference(sat_conversion,[],[f5976]) ).
cnf(s312,plain,
( spl2_112
| spl2_114 ),
inference(sat_conversion,[],[f5985]) ).
cnf(s315,plain,
( spl2_4
| ~ spl2_75
| ~ spl2_102
| spl2_112
| ~ spl2_116 ),
inference(sat_conversion,[],[f5989]) ).
cnf(s318,plain,
( ~ spl2_18
| spl2_109
| spl2_120
| ~ spl2_129 ),
inference(sat_conversion,[],[f5994]) ).
cnf(s319,plain,
( spl2_120
| spl2_133 ),
inference(sat_conversion,[],[f5995]) ).
cnf(s321,plain,
( ~ spl2_1
| ~ spl2_106
| ~ spl2_117 ),
inference(sat_conversion,[],[f6015]) ).
cnf(s322,plain,
( ~ spl2_9
| ~ spl2_103
| ~ spl2_106 ),
inference(sat_conversion,[],[f6017]) ).
cnf(s332,plain,
( spl2_13
| ~ spl2_18
| spl2_106
| spl2_118
| ~ spl2_133
| ~ spl2_212 ),
inference(sat_conversion,[],[f6054]) ).
cnf(s341,plain,
( spl2_13
| ~ spl2_32
| ~ spl2_107
| spl2_112
| spl2_128 ),
inference(sat_conversion,[],[f6141]) ).
cnf(s347,plain,
( spl2_12
| ~ spl2_107
| ~ spl2_109 ),
inference(sat_conversion,[],[f6388]) ).
cnf(s349,plain,
( spl2_30
| ~ spl2_109
| ~ spl2_117 ),
inference(sat_conversion,[],[f6393]) ).
cnf(s350,plain,
( spl2_77
| ~ spl2_103
| ~ spl2_109 ),
inference(sat_conversion,[],[f6397]) ).
cnf(s352,plain,
( spl2_18
| ~ spl2_102
| ~ spl2_109 ),
inference(sat_conversion,[],[f6404]) ).
cnf(s353,plain,
( ~ spl2_109
| spl2_124
| ~ spl2_131 ),
inference(sat_conversion,[],[f6405]) ).
cnf(s356,plain,
( spl2_75
| ~ spl2_109
| ~ spl2_127 ),
inference(sat_conversion,[],[f6418]) ).
cnf(s357,plain,
( ~ spl2_109
| ~ spl2_127
| spl2_211
| ~ spl2_219
| ~ spl2_220 ),
inference(sat_conversion,[],[f6426]) ).
cnf(s358,plain,
( spl2_27
| ~ spl2_109
| ~ spl2_116 ),
inference(sat_conversion,[],[f6430]) ).
cnf(s360,plain,
( ~ spl2_17
| spl2_98
| ~ spl2_109 ),
inference(sat_conversion,[],[f6436]) ).
cnf(s361,plain,
( ~ spl2_25
| spl2_95
| ~ spl2_109 ),
inference(sat_conversion,[],[f6438]) ).
cnf(s363,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_109
| ~ spl2_144 ),
inference(sat_conversion,[],[f6448]) ).
cnf(s372,plain,
( spl2_12
| ~ spl2_36
| spl2_45
| ~ spl2_109 ),
inference(sat_conversion,[],[f6469]) ).
cnf(s379,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_109 ),
inference(sat_conversion,[],[f6484]) ).
cnf(s385,plain,
( spl2_4
| ~ spl2_97
| ~ spl2_116 ),
inference(sat_conversion,[],[f6546]) ).
cnf(s387,plain,
( ~ spl2_32
| ~ spl2_97
| ~ spl2_107 ),
inference(sat_conversion,[],[f6553]) ).
cnf(s388,plain,
( ~ spl2_15
| ~ spl2_97
| ~ spl2_131 ),
inference(sat_conversion,[],[f6555]) ).
cnf(s396,plain,
( spl2_8
| spl2_13
| ~ spl2_28 ),
inference(sat_conversion,[],[f6725]) ).
cnf(s397,plain,
( ~ spl2_28
| spl2_118 ),
inference(sat_conversion,[],[f6727]) ).
cnf(s398,plain,
( ~ spl2_28
| spl2_109 ),
inference(sat_conversion,[],[f6729]) ).
cnf(s424,plain,
( spl2_4
| spl2_8
| ~ spl2_9
| ~ spl2_28 ),
inference(sat_conversion,[],[f6802]) ).
cnf(s429,plain,
( spl2_106
| ~ spl2_133
| spl2_235 ),
inference(sat_conversion,[],[f6865]) ).
cnf(s430,plain,
( ~ spl2_32
| ~ spl2_81
| spl2_106
| ~ spl2_107
| spl2_118
| ~ spl2_133 ),
inference(sat_conversion,[],[f6868]) ).
cnf(s441,plain,
( ~ spl2_32
| ~ spl2_147
| spl2_157
| spl2_247 ),
inference(sat_conversion,[],[f7018]) ).
cnf(s443,plain,
( spl2_13
| ~ spl2_32
| ~ spl2_147
| spl2_155
| spl2_250 ),
inference(sat_conversion,[],[f7029]) ).
cnf(s446,plain,
( spl2_155
| spl2_240 ),
inference(sat_conversion,[],[f7061]) ).
cnf(s447,plain,
( spl2_155
| spl2_197
| spl2_240 ),
inference(sat_conversion,[],[f7063]) ).
cnf(s449,plain,
( spl2_147
| spl2_239 ),
inference(sat_conversion,[],[f7069]) ).
cnf(s453,plain,
( spl2_1
| spl2_6 ),
inference(sat_conversion,[],[f7083]) ).
cnf(s456,plain,
( ~ spl2_12
| ~ spl2_103
| ~ spl2_131 ),
inference(sat_conversion,[],[f7090]) ).
cnf(s471,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_17
| spl2_264 ),
inference(sat_conversion,[],[f7144]) ).
cnf(s492,plain,
( ~ spl2_128
| spl2_129 ),
inference(sat_conversion,[],[f7333]) ).
cnf(s493,plain,
( ~ spl2_103
| ~ spl2_154
| ~ spl2_183 ),
inference(sat_conversion,[],[f7354]) ).
cnf(s494,plain,
( spl2_20
| ~ spl2_37
| ~ spl2_182
| spl2_188
| spl2_205 ),
inference(sat_conversion,[],[f7382]) ).
cnf(s495,plain,
( spl2_20
| ~ spl2_36
| ~ spl2_117
| ~ spl2_173
| ~ spl2_182 ),
inference(sat_conversion,[],[f7383]) ).
cnf(s500,plain,
( ~ spl2_103
| ~ spl2_173
| ~ spl2_198 ),
inference(sat_conversion,[],[f7409]) ).
cnf(s512,plain,
( ~ spl2_25
| spl2_155
| spl2_156
| spl2_187
| spl2_197
| ~ spl2_224 ),
inference(sat_conversion,[],[f7504]) ).
cnf(s513,plain,
( spl2_153
| spl2_156 ),
inference(sat_conversion,[],[f7508]) ).
cnf(s516,plain,
( ~ spl2_47
| spl2_149
| ~ spl2_153
| spl2_157
| spl2_184
| spl2_197 ),
inference(sat_conversion,[],[f7558]) ).
cnf(s521,plain,
( ~ spl2_48
| ~ spl2_117
| spl2_149
| ~ spl2_153
| ~ spl2_183 ),
inference(sat_conversion,[],[f7570]) ).
cnf(s522,plain,
( ~ spl2_1
| ~ spl2_157
| ~ spl2_245 ),
inference(sat_conversion,[],[f7586]) ).
cnf(s532,plain,
( ~ spl2_48
| ~ spl2_179
| spl2_187
| spl2_288 ),
inference(sat_conversion,[],[f7653]) ).
cnf(s539,plain,
( spl2_188
| spl2_219 ),
inference(sat_conversion,[],[f7727]) ).
cnf(s544,plain,
( ~ spl2_24
| ~ spl2_127
| ~ spl2_146
| ~ spl2_149
| spl2_237 ),
inference(sat_conversion,[],[f7786]) ).
cnf(s546,plain,
( ~ spl2_24
| ~ spl2_119
| ~ spl2_149
| ~ spl2_153
| spl2_237 ),
inference(sat_conversion,[],[f7789]) ).
cnf(s548,plain,
( ~ spl2_107
| ~ spl2_237
| ~ spl2_245 ),
inference(sat_conversion,[],[f7808]) ).
cnf(s556,plain,
( ~ spl2_24
| ~ spl2_119
| ~ spl2_179
| spl2_194
| ~ spl2_288 ),
inference(sat_conversion,[],[f7881]) ).
cnf(s560,plain,
( spl2_152
| spl2_158
| ~ spl2_180 ),
inference(sat_conversion,[],[f8034]) ).
cnf(s562,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_144
| ~ spl2_180 ),
inference(sat_conversion,[],[f8038]) ).
cnf(s563,plain,
( ~ spl2_17
| ~ spl2_25
| spl2_45
| spl2_50
| ~ spl2_180 ),
inference(sat_conversion,[],[f8039]) ).
cnf(s565,plain,
( spl2_21
| spl2_35
| spl2_124
| ~ spl2_180 ),
inference(sat_conversion,[],[f8044]) ).
cnf(s566,plain,
( ~ spl2_111
| ~ spl2_114
| spl2_152
| ~ spl2_180
| spl2_303 ),
inference(sat_conversion,[],[f8049]) ).
cnf(s567,plain,
( spl2_134
| spl2_152
| ~ spl2_180 ),
inference(sat_conversion,[],[f8051]) ).
cnf(s570,plain,
( spl2_8
| spl2_79
| ~ spl2_180 ),
inference(sat_conversion,[],[f8057]) ).
cnf(s572,plain,
( spl2_35
| spl2_45
| ~ spl2_180 ),
inference(sat_conversion,[],[f8061]) ).
cnf(s574,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_180 ),
inference(sat_conversion,[],[f8067]) ).
cnf(s576,plain,
( ~ spl2_1
| spl2_8
| ~ spl2_32
| ~ spl2_180 ),
inference(sat_conversion,[],[f8070]) ).
cnf(s578,plain,
( spl2_12
| ~ spl2_25
| spl2_45
| ~ spl2_48
| ~ spl2_180 ),
inference(sat_conversion,[],[f8075]) ).
cnf(s580,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_180 ),
inference(sat_conversion,[],[f8079]) ).
cnf(s585,plain,
( spl2_29
| ~ spl2_182
| ~ spl2_187 ),
inference(sat_conversion,[],[f8165]) ).
cnf(s586,plain,
( spl2_20
| ~ spl2_182
| ~ spl2_211 ),
inference(sat_conversion,[],[f8167]) ).
cnf(s589,plain,
( ~ spl2_219
| ~ spl2_224
| ~ spl2_250 ),
inference(sat_conversion,[],[f8182]) ).
cnf(s596,plain,
( ~ spl2_45
| ~ spl2_149
| spl2_268
| spl2_306 ),
inference(sat_conversion,[],[f8233]) ).
cnf(s602,plain,
( ~ spl2_35
| spl2_112
| ~ spl2_133
| spl2_206 ),
inference(sat_conversion,[],[f8258]) ).
cnf(s603,plain,
( ~ spl2_25
| ~ spl2_35
| spl2_109
| spl2_120 ),
inference(sat_conversion,[],[f8262]) ).
cnf(s606,plain,
( ~ spl2_38
| ~ spl2_153
| spl2_155
| spl2_197
| ~ spl2_239 ),
inference(sat_conversion,[],[f8265]) ).
cnf(s607,plain,
( ~ spl2_38
| ~ spl2_153
| spl2_155
| ~ spl2_239 ),
inference(sat_conversion,[],[f8266]) ).
cnf(s608,plain,
( ~ spl2_17
| ~ spl2_25
| spl2_45
| spl2_50
| ~ spl2_197 ),
inference(sat_conversion,[],[f8386]) ).
cnf(s609,plain,
( spl2_45
| ~ spl2_149
| ~ spl2_197 ),
inference(sat_conversion,[],[f8387]) ).
cnf(s614,plain,
( spl2_112
| ~ spl2_183
| ~ spl2_197 ),
inference(sat_conversion,[],[f8398]) ).
cnf(s617,plain,
( spl2_134
| ~ spl2_174
| ~ spl2_197 ),
inference(sat_conversion,[],[f8406]) ).
cnf(s619,plain,
( spl2_21
| spl2_35
| spl2_124
| ~ spl2_197 ),
inference(sat_conversion,[],[f8408]) ).
cnf(s620,plain,
( ~ spl2_15
| ~ spl2_24
| ~ spl2_149
| ~ spl2_197 ),
inference(sat_conversion,[],[f8410]) ).
cnf(s621,plain,
( spl2_35
| spl2_45
| ~ spl2_197 ),
inference(sat_conversion,[],[f8415]) ).
cnf(s622,plain,
( spl2_45
| ~ spl2_197
| spl2_312 ),
inference(sat_conversion,[],[f8419]) ).
cnf(s627,plain,
( ~ spl2_111
| ~ spl2_114
| spl2_152
| ~ spl2_197
| spl2_303 ),
inference(sat_conversion,[],[f8428]) ).
cnf(s628,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_38
| spl2_45
| ~ spl2_197 ),
inference(sat_conversion,[],[f8430]) ).
cnf(s632,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_197 ),
inference(sat_conversion,[],[f8441]) ).
cnf(s636,plain,
( ~ spl2_15
| ~ spl2_24
| ~ spl2_45 ),
inference(sat_conversion,[],[f8457]) ).
cnf(s638,plain,
( ~ spl2_34
| spl2_112 ),
inference(sat_conversion,[],[f8474]) ).
cnf(s641,plain,
( ~ spl2_107
| ~ spl2_117
| ~ spl2_152 ),
inference(sat_conversion,[],[f8500]) ).
cnf(s642,plain,
( ~ spl2_103
| ~ spl2_116
| ~ spl2_152 ),
inference(sat_conversion,[],[f8502]) ).
cnf(s643,plain,
( spl2_132
| ~ spl2_152
| spl2_315 ),
inference(sat_conversion,[],[f8506]) ).
cnf(s645,plain,
( spl2_185
| spl2_288 ),
inference(sat_conversion,[],[f8530]) ).
cnf(s648,plain,
( ~ spl2_64
| spl2_186
| spl2_205
| spl2_288 ),
inference(sat_conversion,[],[f8534]) ).
cnf(s655,plain,
( ~ spl2_124
| ~ spl2_149
| ~ spl2_155 ),
inference(sat_conversion,[],[f8606]) ).
cnf(s656,plain,
( ~ spl2_124
| ~ spl2_211
| ~ spl2_288 ),
inference(sat_conversion,[],[f8608]) ).
cnf(s657,plain,
( spl2_139
| ~ spl2_237
| ~ spl2_268 ),
inference(sat_conversion,[],[f8623]) ).
cnf(s658,plain,
( spl2_20
| ~ spl2_155
| ~ spl2_268 ),
inference(sat_conversion,[],[f8624]) ).
cnf(s663,plain,
( ~ spl2_17
| ~ spl2_286
| ~ spl2_306 ),
inference(sat_conversion,[],[f8677]) ).
cnf(s664,plain,
( ~ spl2_48
| ~ spl2_117
| ~ spl2_153
| ~ spl2_183
| ~ spl2_306 ),
inference(sat_conversion,[],[f8682]) ).
cnf(s665,plain,
( ~ spl2_17
| spl2_50
| ~ spl2_116
| ~ spl2_237
| ~ spl2_306 ),
inference(sat_conversion,[],[f8683]) ).
cnf(s666,plain,
( ~ spl2_71
| ~ spl2_117
| ~ spl2_146
| ~ spl2_183
| ~ spl2_306 ),
inference(sat_conversion,[],[f8684]) ).
cnf(s674,plain,
( ~ spl2_116
| spl2_197
| ~ spl2_205
| spl2_321 ),
inference(sat_conversion,[],[f8754]) ).
cnf(s676,plain,
( ~ spl2_71
| ~ spl2_185
| spl2_187
| ~ spl2_220 ),
inference(sat_conversion,[],[f8757]) ).
cnf(s679,plain,
( spl2_202
| spl2_211 ),
inference(sat_conversion,[],[f8765]) ).
cnf(s681,plain,
( spl2_187
| spl2_273 ),
inference(sat_conversion,[],[f8770]) ).
cnf(s682,plain,
( ~ spl2_48
| ~ spl2_179
| ~ spl2_185
| spl2_187 ),
inference(sat_conversion,[],[f8772]) ).
cnf(s687,plain,
( ~ spl2_155
| ~ spl2_322 ),
inference(sat_conversion,[],[f8788]) ).
cnf(s688,plain,
( ~ spl2_237
| ~ spl2_322 ),
inference(sat_conversion,[],[f8792]) ).
cnf(s691,plain,
( ~ spl2_117
| spl2_174
| ~ spl2_187
| spl2_197 ),
inference(sat_conversion,[],[f8813]) ).
cnf(s694,plain,
( ~ spl2_9
| ~ spl2_188
| ~ spl2_205 ),
inference(sat_conversion,[],[f8829]) ).
cnf(s696,plain,
( ~ spl2_1
| ~ spl2_188
| ~ spl2_199 ),
inference(sat_conversion,[],[f8832]) ).
cnf(s697,plain,
( ~ spl2_32
| ~ spl2_187
| spl2_188
| spl2_296 ),
inference(sat_conversion,[],[f8866]) ).
cnf(s700,plain,
( spl2_13
| ~ spl2_32
| ~ spl2_187
| spl2_211
| spl2_278 ),
inference(sat_conversion,[],[f8870]) ).
cnf(s701,plain,
( ~ spl2_32
| ~ spl2_187
| spl2_220 ),
inference(sat_conversion,[],[f8872]) ).
cnf(s704,plain,
( ~ spl2_38
| ~ spl2_179
| ~ spl2_202
| ~ spl2_273 ),
inference(sat_conversion,[],[f8916]) ).
cnf(s717,plain,
( ~ spl2_107
| ~ spl2_194
| ~ spl2_199 ),
inference(sat_conversion,[],[f8992]) ).
cnf(s718,plain,
( ~ spl2_116
| ~ spl2_194
| ~ spl2_205 ),
inference(sat_conversion,[],[f8994]) ).
cnf(s721,plain,
( ~ spl2_128
| ~ spl2_219
| ~ spl2_321 ),
inference(sat_conversion,[],[f9037]) ).
cnf(s723,plain,
( ~ spl2_119
| ~ spl2_179
| ~ spl2_219
| ~ spl2_321 ),
inference(sat_conversion,[],[f9043]) ).
cnf(s725,plain,
( ~ spl2_32
| ~ spl2_127
| ~ spl2_187
| ~ spl2_219
| ~ spl2_321 ),
inference(sat_conversion,[],[f9045]) ).
cnf(s730,plain,
( ~ spl2_6
| spl2_159
| ~ spl2_286 ),
inference(sat_conversion,[],[f9054]) ).
cnf(s731,plain,
( ~ spl2_24
| ~ spl2_39
| ~ spl2_149
| ~ spl2_239 ),
inference(sat_conversion,[],[f9071]) ).
cnf(s732,plain,
( ~ spl2_39
| spl2_265 ),
inference(sat_conversion,[],[f9072]) ).
cnf(s741,plain,
( spl2_25
| spl2_27
| ~ spl2_149
| spl2_322 ),
inference(sat_conversion,[],[f9094]) ).
cnf(s743,plain,
( spl2_25
| spl2_27
| spl2_337 ),
inference(sat_conversion,[],[f9103]) ).
cnf(s745,plain,
( spl2_25
| spl2_77 ),
inference(sat_conversion,[],[f9111]) ).
cnf(s748,plain,
( ~ spl2_10
| ~ spl2_159
| spl2_322 ),
inference(sat_conversion,[],[f9132]) ).
cnf(s756,plain,
( ~ spl2_17
| ~ spl2_185
| ~ spl2_274 ),
inference(sat_conversion,[],[f9215]) ).
cnf(s765,plain,
( ~ spl2_102
| ~ spl2_174
| ~ spl2_278 ),
inference(sat_conversion,[],[f9298]) ).
cnf(s766,plain,
( ~ spl2_211
| ~ spl2_231
| ~ spl2_251 ),
inference(sat_conversion,[],[f9299]) ).
cnf(s772,plain,
( ~ spl2_27
| ~ spl2_205
| ~ spl2_211 ),
inference(sat_conversion,[],[f9355]) ).
cnf(s773,plain,
( ~ spl2_24
| ~ spl2_42
| spl2_118
| ~ spl2_149
| spl2_155 ),
inference(sat_conversion,[],[f9384]) ).
cnf(s788,plain,
( ~ spl2_176
| spl2_180
| ~ spl2_251
| spl2_366 ),
inference(sat_conversion,[],[f9576]) ).
cnf(s799,plain,
( ~ spl2_252
| ~ spl2_350
| ~ spl2_366
| ~ spl2_367 ),
inference(sat_conversion,[],[f9736]) ).
cnf(s805,plain,
( ~ spl2_42
| ~ spl2_366
| ~ spl2_368 ),
inference(sat_conversion,[],[f9756]) ).
cnf(s807,plain,
( spl2_152
| spl2_158
| ~ spl2_372 ),
inference(sat_conversion,[],[f9879]) ).
cnf(s810,plain,
( spl2_45
| spl2_312
| ~ spl2_372 ),
inference(sat_conversion,[],[f9891]) ).
cnf(s812,plain,
( spl2_21
| spl2_35
| spl2_124
| ~ spl2_372 ),
inference(sat_conversion,[],[f9894]) ).
cnf(s814,plain,
( spl2_35
| spl2_45
| ~ spl2_372 ),
inference(sat_conversion,[],[f9898]) ).
cnf(s815,plain,
( spl2_134
| spl2_152
| ~ spl2_372 ),
inference(sat_conversion,[],[f9900]) ).
cnf(s818,plain,
( ~ spl2_111
| ~ spl2_114
| spl2_152
| spl2_303
| ~ spl2_372 ),
inference(sat_conversion,[],[f9904]) ).
cnf(s820,plain,
( spl2_12
| spl2_13
| spl2_45
| ~ spl2_71
| ~ spl2_372 ),
inference(sat_conversion,[],[f9911]) ).
cnf(s821,plain,
( spl2_349
| spl2_368 ),
inference(sat_conversion,[],[f9916]) ).
cnf(s822,plain,
( spl2_349
| spl2_368
| spl2_372 ),
inference(sat_conversion,[],[f9917]) ).
cnf(s825,plain,
( spl2_28
| ~ spl2_49
| spl2_102 ),
inference(sat_conversion,[],[f9975]) ).
cnf(s826,plain,
( ~ spl2_49
| spl2_184
| spl2_219 ),
inference(sat_conversion,[],[f9976]) ).
cnf(s827,plain,
( ~ spl2_49
| spl2_180
| spl2_368 ),
inference(sat_conversion,[],[f9977]) ).
cnf(s828,plain,
( spl2_367
| spl2_373 ),
inference(sat_conversion,[],[f9978]) ).
cnf(s829,plain,
( spl2_4
| spl2_9
| ~ spl2_373
| spl2_376 ),
inference(sat_conversion,[],[f9994]) ).
cnf(s831,plain,
( spl2_350
| spl2_353 ),
inference(sat_conversion,[],[f10000]) ).
cnf(s833,plain,
( ~ spl2_117
| spl2_186
| ~ spl2_353
| spl2_377 ),
inference(sat_conversion,[],[f10014]) ).
cnf(s840,plain,
( spl2_13
| ~ spl2_32
| ~ spl2_176
| ~ spl2_251
| ~ spl2_353
| spl2_369 ),
inference(sat_conversion,[],[f10067]) ).
cnf(s841,plain,
( ~ spl2_349
| ~ spl2_376 ),
inference(sat_conversion,[],[f10073]) ).
cnf(s843,plain,
( ~ spl2_116
| spl2_186
| ~ spl2_347
| spl2_382 ),
inference(sat_conversion,[],[f10089]) ).
cnf(s846,plain,
( ~ spl2_354
| ~ spl2_376 ),
inference(sat_conversion,[],[f10108]) ).
cnf(s849,plain,
( spl2_97
| ~ spl2_368
| spl2_369
| ~ spl2_382 ),
inference(sat_conversion,[],[f10183]) ).
cnf(s850,plain,
( ~ spl2_128
| ~ spl2_368
| ~ spl2_382 ),
inference(sat_conversion,[],[f10184]) ).
cnf(s860,plain,
( spl2_26
| ~ spl2_106
| ~ spl2_132 ),
inference(sat_conversion,[],[f10250]) ).
cnf(s861,plain,
( ~ spl2_132
| ~ spl2_183
| spl2_322 ),
inference(sat_conversion,[],[f10251]) ).
cnf(s862,plain,
( spl2_29
| ~ spl2_107
| ~ spl2_132 ),
inference(sat_conversion,[],[f10252]) ).
cnf(s874,plain,
( ~ spl2_71
| spl2_107
| ~ spl2_133
| ~ spl2_212 ),
inference(sat_conversion,[],[f10275]) ).
cnf(s876,plain,
( ~ spl2_120
| ~ spl2_183
| ~ spl2_297 ),
inference(sat_conversion,[],[f10281]) ).
cnf(s886,plain,
( spl2_97
| spl2_212 ),
inference(sat_conversion,[],[f10305]) ).
cnf(s893,plain,
( ~ spl2_77
| ~ spl2_147
| ~ spl2_251 ),
inference(sat_conversion,[],[f10339]) ).
cnf(s895,plain,
( spl2_153
| spl2_154
| ~ spl2_231
| spl2_393 ),
inference(sat_conversion,[],[f10344]) ).
cnf(s897,plain,
( ~ spl2_27
| spl2_153
| ~ spl2_155 ),
inference(sat_conversion,[],[f10346]) ).
cnf(s898,plain,
( ~ spl2_27
| ~ spl2_155
| ~ spl2_156 ),
inference(sat_conversion,[],[f10348]) ).
cnf(s899,plain,
( ~ spl2_18
| ~ spl2_185
| ~ spl2_278 ),
inference(sat_conversion,[],[f10350]) ).
cnf(s900,plain,
( spl2_13
| ~ spl2_18
| ~ spl2_127
| ~ spl2_133 ),
inference(sat_conversion,[],[f10352]) ).
cnf(s901,plain,
( ~ spl2_18
| ~ spl2_105
| ~ spl2_133
| spl2_194
| ~ spl2_202 ),
inference(sat_conversion,[],[f10353]) ).
cnf(s902,plain,
( ~ spl2_149
| spl2_182
| spl2_185
| ~ spl2_231 ),
inference(sat_conversion,[],[f10357]) ).
cnf(s903,plain,
( ~ spl2_77
| spl2_185
| ~ spl2_198 ),
inference(sat_conversion,[],[f10358]) ).
cnf(s920,plain,
( ~ spl2_147
| ~ spl2_199
| ~ spl2_225 ),
inference(sat_conversion,[],[f10450]) ).
cnf(s931,plain,
( ~ spl2_156
| ~ spl2_198
| ~ spl2_231 ),
inference(sat_conversion,[],[f10519]) ).
cnf(s933,plain,
( ~ spl2_12
| ~ spl2_21
| spl2_29 ),
inference(sat_conversion,[],[f10531]) ).
cnf(s934,plain,
( ~ spl2_21
| spl2_337 ),
inference(sat_conversion,[],[f10532]) ).
cnf(s935,plain,
( ~ spl2_50
| ~ spl2_202
| ~ spl2_273 ),
inference(sat_conversion,[],[f10557]) ).
cnf(s936,plain,
( ~ spl2_50
| spl2_144 ),
inference(sat_conversion,[],[f10558]) ).
cnf(s937,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_50 ),
inference(sat_conversion,[],[f10559]) ).
cnf(s938,plain,
( ~ spl2_50
| ~ spl2_98
| ~ spl2_114 ),
inference(sat_conversion,[],[f10560]) ).
cnf(s941,plain,
( ~ spl2_18
| ~ spl2_250
| ~ spl2_306 ),
inference(sat_conversion,[],[f10602]) ).
cnf(s943,plain,
( ~ spl2_106
| ~ spl2_139 ),
inference(sat_conversion,[],[f10610]) ).
cnf(s944,plain,
( ~ spl2_32
| ~ spl2_147
| spl2_237
| spl2_246 ),
inference(sat_conversion,[],[f10612]) ).
cnf(s947,plain,
( spl2_149
| spl2_306 ),
inference(sat_conversion,[],[f10624]) ).
cnf(s953,plain,
( ~ spl2_111
| spl2_118
| spl2_155
| spl2_237
| spl2_241 ),
inference(sat_conversion,[],[f10708]) ).
cnf(s954,plain,
( ~ spl2_42
| spl2_118
| spl2_155
| ~ spl2_217 ),
inference(sat_conversion,[],[f10709]) ).
cnf(s955,plain,
( spl2_157
| spl2_217 ),
inference(sat_conversion,[],[f10714]) ).
cnf(s969,plain,
( ~ spl2_154
| ~ spl2_205
| ~ spl2_225 ),
inference(sat_conversion,[],[f10845]) ).
cnf(s970,plain,
( spl2_29
| ~ spl2_147
| ~ spl2_268 ),
inference(sat_conversion,[],[f10854]) ).
cnf(s971,plain,
( spl2_26
| ~ spl2_157
| ~ spl2_268 ),
inference(sat_conversion,[],[f10855]) ).
cnf(s974,plain,
( spl2_366
| ~ spl2_376 ),
inference(sat_conversion,[],[f10888]) ).
cnf(s977,plain,
( spl2_345
| spl2_366 ),
inference(sat_conversion,[],[f10892]) ).
cnf(s981,plain,
( ~ spl2_27
| ~ spl2_345
| ~ spl2_347 ),
inference(sat_conversion,[],[f10910]) ).
cnf(s1005,plain,
( ~ spl2_65
| spl2_107
| ~ spl2_114 ),
inference(sat_conversion,[],[f11084]) ).
cnf(s1006,plain,
( ~ spl2_65
| spl2_187
| ~ spl2_202 ),
inference(sat_conversion,[],[f11085]) ).
cnf(s1008,plain,
( spl2_13
| ~ spl2_15
| ~ spl2_30
| ~ spl2_65 ),
inference(sat_conversion,[],[f11088]) ).
cnf(s1016,plain,
( ~ spl2_178
| ~ spl2_250
| ~ spl2_368 ),
inference(sat_conversion,[],[f11182]) ).
cnf(s1023,plain,
( ~ spl2_154
| ~ spl2_177
| ~ spl2_347 ),
inference(sat_conversion,[],[f11209]) ).
cnf(s1024,plain,
( ~ spl2_177
| spl2_322
| ~ spl2_360 ),
inference(sat_conversion,[],[f11210]) ).
cnf(s1038,plain,
( ~ spl2_133
| ~ spl2_241
| ~ spl2_306 ),
inference(sat_conversion,[],[f11280]) ).
cnf(s1041,plain,
( ~ spl2_178
| ~ spl2_241
| ~ spl2_382 ),
inference(sat_conversion,[],[f11285]) ).
cnf(s1045,plain,
( ~ spl2_45
| ~ spl2_109
| spl2_112 ),
inference(sat_conversion,[],[f11407]) ).
cnf(s1047,plain,
( ~ spl2_109
| spl2_117
| ~ spl2_245 ),
inference(sat_conversion,[],[f11410]) ).
cnf(s1049,plain,
( ~ spl2_45
| ~ spl2_109
| spl2_120 ),
inference(sat_conversion,[],[f11414]) ).
cnf(s1058,plain,
( ~ spl2_109
| ~ spl2_110
| spl2_211
| ~ spl2_273
| spl2_274 ),
inference(sat_conversion,[],[f11427]) ).
cnf(s1059,plain,
( ~ spl2_109
| ~ spl2_111
| spl2_112
| spl2_206 ),
inference(sat_conversion,[],[f11429]) ).
cnf(s1062,plain,
( spl2_35
| ~ spl2_109
| ~ spl2_114 ),
inference(sat_conversion,[],[f11432]) ).
cnf(s1065,plain,
( ~ spl2_35
| ~ spl2_109
| spl2_134 ),
inference(sat_conversion,[],[f11435]) ).
cnf(s1066,plain,
( spl2_35
| ~ spl2_109
| ~ spl2_133 ),
inference(sat_conversion,[],[f11436]) ).
cnf(s1067,plain,
( spl2_35
| spl2_45
| ~ spl2_109 ),
inference(sat_conversion,[],[f11438]) ).
cnf(s1078,plain,
( ~ spl2_217
| ~ spl2_239
| ~ spl2_306
| ~ spl2_395 ),
inference(sat_conversion,[],[f11470]) ).
cnf(s1102,plain,
( ~ spl2_27
| ~ spl2_45
| ~ spl2_77 ),
inference(sat_conversion,[],[f11576]) ).
cnf(s1103,plain,
( ~ spl2_12
| ~ spl2_30
| ~ spl2_45 ),
inference(sat_conversion,[],[f11579]) ).
cnf(s1110,plain,
( ~ spl2_26
| ~ spl2_159 ),
inference(sat_conversion,[],[f11625]) ).
cnf(s1111,plain,
( ~ spl2_26
| ~ spl2_97 ),
inference(sat_conversion,[],[f11627]) ).
cnf(s1112,plain,
( ~ spl2_10
| ~ spl2_97
| spl2_139 ),
inference(sat_conversion,[],[f11639]) ).
cnf(s1119,plain,
( ~ spl2_135
| ~ spl2_322 ),
inference(sat_conversion,[],[f11688]) ).
cnf(s1120,plain,
( ~ spl2_139
| ~ spl2_183 ),
inference(sat_conversion,[],[f11691]) ).
cnf(s1123,plain,
( ~ spl2_12
| ~ spl2_77
| ~ spl2_124 ),
inference(sat_conversion,[],[f11741]) ).
cnf(s1129,plain,
( spl2_13
| spl2_97
| ~ spl2_206 ),
inference(sat_conversion,[],[f11803]) ).
cnf(s1137,plain,
( ~ spl2_202
| ~ spl2_222
| ~ spl2_224 ),
inference(sat_conversion,[],[f11883]) ).
cnf(s1139,plain,
( spl2_194
| ~ spl2_224
| ~ spl2_241 ),
inference(sat_conversion,[],[f11946]) ).
cnf(s1145,plain,
( spl2_13
| spl2_196
| ~ spl2_223 ),
inference(sat_conversion,[],[f11974]) ).
cnf(s1148,plain,
( ~ spl2_175
| ~ spl2_217
| ~ spl2_369 ),
inference(sat_conversion,[],[f12012]) ).
cnf(s1149,plain,
( ~ spl2_176
| ~ spl2_322 ),
inference(sat_conversion,[],[f12014]) ).
cnf(s1150,plain,
( ~ spl2_157
| ~ spl2_322 ),
inference(sat_conversion,[],[f12016]) ).
cnf(s1157,plain,
( ~ spl2_231
| ~ spl2_322 ),
inference(sat_conversion,[],[f12028]) ).
cnf(s1165,plain,
( ~ spl2_18
| spl2_42
| ~ spl2_185
| spl2_196 ),
inference(sat_conversion,[],[f12045]) ).
cnf(s1168,plain,
( ~ spl2_29
| ~ spl2_347 ),
inference(sat_conversion,[],[f12055]) ).
cnf(s1169,plain,
( ~ spl2_29
| ~ spl2_156 ),
inference(sat_conversion,[],[f12058]) ).
cnf(s1170,plain,
( ~ spl2_29
| ~ spl2_77 ),
inference(sat_conversion,[],[f12061]) ).
cnf(s1171,plain,
( ~ spl2_29
| ~ spl2_205 ),
inference(sat_conversion,[],[f12063]) ).
cnf(s1182,plain,
( ~ spl2_109
| spl2_120
| ~ spl2_183 ),
inference(sat_conversion,[],[f12198]) ).
cnf(s1184,plain,
( ~ spl2_109
| ~ spl2_217
| spl2_219 ),
inference(sat_conversion,[],[f12199]) ).
cnf(s1188,plain,
( spl2_38
| ~ spl2_109
| ~ spl2_386 ),
inference(sat_conversion,[],[f12204]) ).
cnf(s1192,plain,
( spl2_97
| ~ spl2_109
| ~ spl2_159 ),
inference(sat_conversion,[],[f12210]) ).
cnf(s1196,plain,
( ~ spl2_109
| spl2_155
| ~ spl2_194 ),
inference(sat_conversion,[],[f12217]) ).
cnf(s1202,plain,
( spl2_45
| ~ spl2_109
| spl2_312 ),
inference(sat_conversion,[],[f12222]) ).
cnf(s1203,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_109
| spl2_112
| ~ spl2_119 ),
inference(sat_conversion,[],[f12223]) ).
cnf(s1205,plain,
( ~ spl2_14
| ~ spl2_18
| spl2_42
| spl2_45
| ~ spl2_109 ),
inference(sat_conversion,[],[f12226]) ).
cnf(s1223,plain,
( ~ spl2_109
| spl2_118
| spl2_183
| spl2_192 ),
inference(sat_conversion,[],[f12268]) ).
cnf(s1225,plain,
( spl2_13
| spl2_15
| ~ spl2_35
| ~ spl2_109
| spl2_118 ),
inference(sat_conversion,[],[f12271]) ).
cnf(s1227,plain,
( spl2_159
| ~ spl2_212
| ~ spl2_241 ),
inference(sat_conversion,[],[f12273]) ).
cnf(s1232,plain,
( spl2_13
| ~ spl2_25
| spl2_28
| ~ spl2_419 ),
inference(sat_conversion,[],[f12329]) ).
cnf(s1235,plain,
( spl2_109
| spl2_224
| spl2_225 ),
inference(sat_conversion,[],[f12352]) ).
cnf(s1236,plain,
( spl2_109
| spl2_230
| spl2_231 ),
inference(sat_conversion,[],[f12353]) ).
cnf(s1237,plain,
( spl2_109
| spl2_228
| spl2_229 ),
inference(sat_conversion,[],[f12355]) ).
cnf(s1238,plain,
( spl2_109
| spl2_183
| spl2_192 ),
inference(sat_conversion,[],[f12356]) ).
cnf(s1239,plain,
( spl2_109
| spl2_120
| spl2_388 ),
inference(sat_conversion,[],[f12358]) ).
cnf(s1240,plain,
( spl2_109
| spl2_226
| spl2_227 ),
inference(sat_conversion,[],[f12359]) ).
cnf(s1241,plain,
( spl2_13
| ~ spl2_35
| spl2_109
| spl2_112
| ~ spl2_133
| ~ spl2_212 ),
inference(sat_conversion,[],[f12361]) ).
cnf(s1244,plain,
( spl2_13
| ~ spl2_35
| spl2_109
| spl2_120 ),
inference(sat_conversion,[],[f12366]) ).
cnf(s1253,plain,
( ~ spl2_31
| ~ spl2_347
| spl2_376 ),
inference(sat_conversion,[],[f12427]) ).
cnf(s1261,plain,
( ~ spl2_95
| ~ spl2_153
| ~ spl2_241 ),
inference(sat_conversion,[],[f12494]) ).
cnf(s1273,plain,
( spl2_4
| spl2_421 ),
inference(sat_conversion,[],[f12511]) ).
cnf(s1279,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_77 ),
inference(sat_conversion,[],[f12550]) ).
cnf(s1280,plain,
( ~ spl2_39
| ~ spl2_98
| ~ spl2_102 ),
inference(sat_conversion,[],[f12563]) ).
cnf(s1285,plain,
( spl2_12
| ~ spl2_25
| spl2_38 ),
inference(sat_conversion,[],[f12570]) ).
cnf(s1294,plain,
( ~ spl2_31
| ~ spl2_103
| spl2_139 ),
inference(sat_conversion,[],[f12627]) ).
cnf(s1315,plain,
( ~ spl2_133
| spl2_388 ),
inference(sat_conversion,[],[f12750]) ).
cnf(s1316,plain,
( ~ spl2_32
| ~ spl2_97
| ~ spl2_133
| spl2_389 ),
inference(sat_conversion,[],[f12753]) ).
cnf(s1317,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_133
| ~ spl2_386 ),
inference(sat_conversion,[],[f12754]) ).
cnf(s1318,plain,
( ~ spl2_188
| ~ spl2_393 ),
inference(sat_conversion,[],[f12763]) ).
cnf(s1331,plain,
( spl2_196
| spl2_220 ),
inference(sat_conversion,[],[f12848]) ).
cnf(s1337,plain,
( ~ spl2_353
| ~ spl2_376 ),
inference(sat_conversion,[],[f12877]) ).
cnf(s1339,plain,
( ~ spl2_39
| spl2_339 ),
inference(sat_conversion,[],[f12900]) ).
cnf(s1343,plain,
( ~ spl2_14
| ~ spl2_24
| ~ spl2_149
| spl2_155
| spl2_250 ),
inference(sat_conversion,[],[f12933]) ).
cnf(s1346,plain,
( ~ spl2_17
| ~ spl2_123
| ~ spl2_133 ),
inference(sat_conversion,[],[f12965]) ).
cnf(s1347,plain,
( ~ spl2_45
| ~ spl2_149
| spl2_268
| spl2_306 ),
inference(sat_conversion,[],[f12966]) ).
cnf(s1352,plain,
( spl2_21
| ~ spl2_45
| spl2_124 ),
inference(sat_conversion,[],[f12992]) ).
cnf(s1353,plain,
( ~ spl2_10
| ~ spl2_196
| spl2_393 ),
inference(sat_conversion,[],[f13004]) ).
cnf(s1357,plain,
( spl2_77
| ~ spl2_186
| ~ spl2_205 ),
inference(sat_conversion,[],[f13083]) ).
cnf(s1359,plain,
( spl2_152
| spl2_158
| ~ spl2_186 ),
inference(sat_conversion,[],[f13087]) ).
cnf(s1360,plain,
( spl2_134
| spl2_152
| ~ spl2_186 ),
inference(sat_conversion,[],[f13089]) ).
cnf(s1361,plain,
( spl2_21
| spl2_35
| spl2_124
| ~ spl2_186 ),
inference(sat_conversion,[],[f13091]) ).
cnf(s1362,plain,
( ~ spl2_111
| ~ spl2_114
| spl2_152
| ~ spl2_186
| spl2_303 ),
inference(sat_conversion,[],[f13092]) ).
cnf(s1377,plain,
( ~ spl2_30
| ~ spl2_107
| ~ spl2_120 ),
inference(sat_conversion,[],[f13223]) ).
cnf(s1383,plain,
( ~ spl2_134
| spl2_158 ),
inference(sat_conversion,[],[f13287]) ).
cnf(s1385,plain,
( ~ spl2_134
| spl2_433
| spl2_434 ),
inference(sat_conversion,[],[f13299]) ).
cnf(s1386,plain,
( ~ spl2_9
| ~ spl2_98
| ~ spl2_106
| spl2_123
| ~ spl2_134 ),
inference(sat_conversion,[],[f13301]) ).
cnf(s1388,plain,
( spl2_112
| ~ spl2_134
| spl2_303 ),
inference(sat_conversion,[],[f13304]) ).
cnf(s1390,plain,
( ~ spl2_133
| ~ spl2_303 ),
inference(sat_conversion,[],[f13317]) ).
cnf(s1391,plain,
( ~ spl2_134
| ~ spl2_303 ),
inference(sat_conversion,[],[f13319]) ).
cnf(s1392,plain,
( spl2_97
| ~ spl2_303 ),
inference(sat_conversion,[],[f13324]) ).
cnf(s1413,plain,
( ~ spl2_30
| ~ spl2_147
| ~ spl2_149 ),
inference(sat_conversion,[],[f13430]) ).
cnf(s1418,plain,
( spl2_20
| ~ spl2_31
| ~ spl2_77 ),
inference(sat_conversion,[],[f13470]) ).
cnf(s1420,plain,
( ~ spl2_15
| ~ spl2_20 ),
inference(sat_conversion,[],[f13479]) ).
cnf(s1421,plain,
( ~ spl2_12
| ~ spl2_20 ),
inference(sat_conversion,[],[f13481]) ).
cnf(s1422,plain,
( ~ spl2_20
| ~ spl2_149 ),
inference(sat_conversion,[],[f13483]) ).
cnf(s1433,plain,
( ~ spl2_24
| ~ spl2_96
| ~ spl2_149
| spl2_237
| spl2_250 ),
inference(sat_conversion,[],[f13628]) ).
cnf(s1438,plain,
( ~ spl2_117
| ~ spl2_147
| ~ spl2_183 ),
inference(sat_conversion,[],[f13663]) ).
cnf(s1442,plain,
( spl2_109
| spl2_120
| ~ spl2_434 ),
inference(sat_conversion,[],[f13704]) ).
cnf(s1446,plain,
( ~ spl2_211
| ~ spl2_393 ),
inference(sat_conversion,[],[f13715]) ).
cnf(s1449,plain,
( ~ spl2_24
| ~ spl2_96
| spl2_194
| spl2_278
| ~ spl2_288 ),
inference(sat_conversion,[],[f13751]) ).
cnf(s1451,plain,
( ~ spl2_14
| ~ spl2_24
| spl2_211
| spl2_278
| ~ spl2_288 ),
inference(sat_conversion,[],[f13754]) ).
cnf(s1454,plain,
( ~ spl2_24
| ~ spl2_39
| ~ spl2_273
| ~ spl2_288 ),
inference(sat_conversion,[],[f13757]) ).
cnf(s1458,plain,
( ~ spl2_159
| ~ spl2_232
| ~ spl2_237 ),
inference(sat_conversion,[],[f13818]) ).
cnf(s1459,plain,
( ~ spl2_31
| ~ spl2_147
| spl2_153 ),
inference(sat_conversion,[],[f13819]) ).
cnf(s1460,plain,
( ~ spl2_31
| spl2_153
| ~ spl2_237 ),
inference(sat_conversion,[],[f13820]) ).
cnf(s1467,plain,
( ~ spl2_157
| ~ spl2_183
| ~ spl2_208 ),
inference(sat_conversion,[],[f13839]) ).
cnf(s1484,plain,
( spl2_13
| spl2_155
| ~ spl2_232
| ~ spl2_237
| spl2_250 ),
inference(sat_conversion,[],[f13939]) ).
cnf(s1511,plain,
( ~ spl2_111
| spl2_194
| ~ spl2_202
| spl2_328 ),
inference(sat_conversion,[],[f14148]) ).
cnf(s1515,plain,
( ~ spl2_39
| ~ spl2_183
| ~ spl2_208
| ~ spl2_239 ),
inference(sat_conversion,[],[f14203]) ).
cnf(s1518,plain,
( ~ spl2_12
| ~ spl2_24
| ~ spl2_183
| ~ spl2_208
| ~ spl2_239
| spl2_286 ),
inference(sat_conversion,[],[f14208]) ).
cnf(s1519,plain,
( ~ spl2_14
| spl2_155
| ~ spl2_183
| ~ spl2_208
| spl2_250 ),
inference(sat_conversion,[],[f14210]) ).
cnf(s1528,plain,
( spl2_107
| ~ spl2_114
| ~ spl2_426 ),
inference(sat_conversion,[],[f14256]) ).
cnf(s1542,plain,
( ~ spl2_111
| spl2_354
| ~ spl2_366
| spl2_370 ),
inference(sat_conversion,[],[f14391]) ).
cnf(s1551,plain,
( ~ spl2_106
| ~ spl2_237
| ~ spl2_287 ),
inference(sat_conversion,[],[f14449]) ).
cnf(s1552,plain,
( ~ spl2_98
| ~ spl2_174
| ~ spl2_274 ),
inference(sat_conversion,[],[f14464]) ).
cnf(s1556,plain,
( ~ spl2_4
| ~ spl2_153
| ~ spl2_250 ),
inference(sat_conversion,[],[f14507]) ).
cnf(s1573,plain,
( ~ spl2_15
| ~ spl2_112
| ~ spl2_208 ),
inference(sat_conversion,[],[f14561]) ).
cnf(s1574,plain,
( ~ spl2_27
| ~ spl2_103
| ~ spl2_112 ),
inference(sat_conversion,[],[f14564]) ).
cnf(s1592,plain,
( spl2_146
| spl2_159 ),
inference(sat_conversion,[],[f14689]) ).
cnf(s1593,plain,
( ~ spl2_24
| ~ spl2_106
| ~ spl2_120 ),
inference(sat_conversion,[],[f14692]) ).
cnf(s1598,plain,
( ~ spl2_24
| spl2_102
| ~ spl2_120 ),
inference(sat_conversion,[],[f14699]) ).
cnf(s1602,plain,
( ~ spl2_1
| ~ spl2_157
| ~ spl2_245 ),
inference(sat_conversion,[],[f14704]) ).
cnf(s1604,plain,
( ~ spl2_10
| ~ spl2_373
| spl2_376 ),
inference(sat_conversion,[],[f14740]) ).
cnf(s1605,plain,
( ~ spl2_339
| spl2_372
| ~ spl2_376 ),
inference(sat_conversion,[],[f14760]) ).
cnf(s1616,plain,
( ~ spl2_4
| ~ spl2_95
| ~ spl2_128 ),
inference(sat_conversion,[],[f14830]) ).
cnf(s1619,plain,
( ~ spl2_77
| ~ spl2_107
| ~ spl2_130 ),
inference(sat_conversion,[],[f14869]) ).
cnf(s1625,plain,
( ~ spl2_147
| ~ spl2_287
| ~ spl2_421 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s1635,plain,
( ~ spl2_187
| ~ spl2_326
| ~ spl2_421 ),
inference(sat_conversion,[],[f15048]) ).
cnf(s1637,plain,
( ~ spl2_17
| ~ spl2_362
| ~ spl2_406 ),
inference(sat_conversion,[],[f15080]) ).
cnf(s1639,plain,
( ~ spl2_176
| ~ spl2_245
| ~ spl2_353 ),
inference(sat_conversion,[],[f15111]) ).
cnf(s1640,plain,
( ~ spl2_156
| ~ spl2_176
| ~ spl2_374 ),
inference(sat_conversion,[],[f15113]) ).
cnf(s1649,plain,
( ~ spl2_107
| ~ spl2_156
| ~ spl2_267 ),
inference(sat_conversion,[],[f15188]) ).
cnf(s1654,plain,
( ~ spl2_102
| ~ spl2_369
| ~ spl2_377 ),
inference(sat_conversion,[],[f15264]) ).
cnf(s1657,plain,
( spl2_4
| spl2_9
| ~ spl2_340
| spl2_444 ),
inference(sat_conversion,[],[f15302]) ).
cnf(s1660,plain,
( spl2_13
| spl2_28
| spl2_77
| ~ spl2_340 ),
inference(sat_conversion,[],[f15314]) ).
cnf(s1662,plain,
( ~ spl2_15
| spl2_103
| spl2_118
| ~ spl2_131
| ~ spl2_340 ),
inference(sat_conversion,[],[f15320]) ).
cnf(s1665,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_306
| ~ spl2_390 ),
inference(sat_conversion,[],[f15380]) ).
cnf(s1666,plain,
( ~ spl2_25
| spl2_50
| ~ spl2_312 ),
inference(sat_conversion,[],[f15398]) ).
cnf(s1667,plain,
( spl2_13
| spl2_42
| ~ spl2_312 ),
inference(sat_conversion,[],[f15399]) ).
cnf(s1669,plain,
( ~ spl2_202
| spl2_223
| ~ spl2_312 ),
inference(sat_conversion,[],[f15401]) ).
cnf(s1672,plain,
( ~ spl2_227
| ~ spl2_304
| ~ spl2_345 ),
inference(sat_conversion,[],[f15419]) ).
cnf(s1673,plain,
( ~ spl2_205
| ~ spl2_227
| ~ spl2_374 ),
inference(sat_conversion,[],[f15421]) ).
cnf(s1677,plain,
( ~ spl2_107
| ~ spl2_354
| ~ spl2_378 ),
inference(sat_conversion,[],[f15476]) ).
cnf(s1683,plain,
( ~ spl2_198
| ~ spl2_229
| ~ spl2_347 ),
inference(sat_conversion,[],[f15535]) ).
cnf(s1684,plain,
( ~ spl2_187
| ~ spl2_229
| ~ spl2_378 ),
inference(sat_conversion,[],[f15537]) ).
cnf(s1687,plain,
( ~ spl2_112
| spl2_133
| ~ spl2_337 ),
inference(sat_conversion,[],[f15588]) ).
cnf(s1688,plain,
( ~ spl2_107
| spl2_133
| ~ spl2_337 ),
inference(sat_conversion,[],[f15591]) ).
cnf(s1689,plain,
( ~ spl2_107
| ~ spl2_181
| ~ spl2_205 ),
inference(sat_conversion,[],[f15605]) ).
cnf(s1690,plain,
( ~ spl2_107
| spl2_179
| ~ spl2_181 ),
inference(sat_conversion,[],[f15607]) ).
cnf(s1693,plain,
( ~ spl2_202
| ~ spl2_226
| ~ spl2_418 ),
inference(sat_conversion,[],[f15645]) ).
cnf(s1696,plain,
( ~ spl2_157
| spl2_196
| ~ spl2_271
| ~ spl2_328 ),
inference(sat_conversion,[],[f15665]) ).
cnf(s1697,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_192
| ~ spl2_283 ),
inference(sat_conversion,[],[f15696]) ).
cnf(s1698,plain,
( ~ spl2_17
| ~ spl2_25
| ~ spl2_185
| ~ spl2_291 ),
inference(sat_conversion,[],[f15714]) ).
cnf(s1699,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_102
| ~ spl2_391 ),
inference(sat_conversion,[],[f15751]) ).
cnf(s1700,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_24
| ~ spl2_120
| ~ spl2_391 ),
inference(sat_conversion,[],[f15753]) ).
cnf(s1702,plain,
( ~ spl2_178
| ~ spl2_228
| ~ spl2_275 ),
inference(sat_conversion,[],[f15801]) ).
cnf(s1703,plain,
( ~ spl2_185
| ~ spl2_275
| ~ spl2_306 ),
inference(sat_conversion,[],[f15803]) ).
cnf(s1705,plain,
( ~ spl2_146
| spl2_196
| ~ spl2_275 ),
inference(sat_conversion,[],[f15805]) ).
cnf(s1706,plain,
( ~ spl2_174
| ~ spl2_192
| ~ spl2_275 ),
inference(sat_conversion,[],[f15807]) ).
cnf(s1709,plain,
( ~ spl2_120
| ~ spl2_211
| ~ spl2_329 ),
inference(sat_conversion,[],[f15827]) ).
cnf(s1710,plain,
( ~ spl2_156
| ~ spl2_187
| ~ spl2_305 ),
inference(sat_conversion,[],[f15848]) ).
cnf(s1711,plain,
( ~ spl2_147
| ~ spl2_205
| ~ spl2_343 ),
inference(sat_conversion,[],[f15860]) ).
cnf(s1714,plain,
( ~ spl2_226
| ~ spl2_321
| ~ spl2_370 ),
inference(sat_conversion,[],[f15881]) ).
cnf(s1715,plain,
( ~ spl2_157
| ~ spl2_271
| ~ spl2_370
| spl2_373 ),
inference(sat_conversion,[],[f15882]) ).
cnf(s1716,plain,
( ~ spl2_212
| ~ spl2_370
| spl2_373 ),
inference(sat_conversion,[],[f15883]) ).
cnf(s1717,plain,
( spl2_97
| ~ spl2_158
| spl2_457 ),
inference(sat_conversion,[],[f15899]) ).
cnf(s1718,plain,
( ~ spl2_6
| ~ spl2_95
| ~ spl2_457 ),
inference(sat_conversion,[],[f15924]) ).
cnf(s1719,plain,
( ~ spl2_71
| spl2_353
| ~ spl2_362
| ~ spl2_367 ),
inference(sat_conversion,[],[f15937]) ).
cnf(s1720,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_174
| ~ spl2_290 ),
inference(sat_conversion,[],[f15956]) ).
cnf(s1721,plain,
( ~ spl2_178
| ~ spl2_350
| ~ spl2_362
| ~ spl2_404 ),
inference(sat_conversion,[],[f15992]) ).
cnf(s1723,plain,
( spl2_362
| spl2_453 ),
inference(sat_conversion,[],[f16000]) ).
cnf(s1726,plain,
( ~ spl2_24
| ~ spl2_339
| spl2_353
| spl2_372
| ~ spl2_453 ),
inference(sat_conversion,[],[f16027]) ).
cnf(s1727,plain,
( ~ spl2_12
| ~ spl2_112
| ~ spl2_117 ),
inference(sat_conversion,[],[f16028]) ).
cnf(s1730,plain,
( ~ spl2_12
| ~ spl2_345
| ~ spl2_378 ),
inference(sat_conversion,[],[f16031]) ).
cnf(s1731,plain,
( spl2_156
| ~ spl2_264
| ~ spl2_306 ),
inference(sat_conversion,[],[f16032]) ).
cnf(s1732,plain,
( ~ spl2_12
| ~ spl2_199
| ~ spl2_211 ),
inference(sat_conversion,[],[f16033]) ).
cnf(s1733,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_13
| ~ spl2_38 ),
inference(sat_conversion,[],[f16034]) ).
cnf(s1734,plain,
( ~ spl2_4
| ~ spl2_6
| ~ spl2_25
| ~ spl2_75 ),
inference(sat_conversion,[],[f16035]) ).
cnf(s1736,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_13
| ~ spl2_38 ),
inference(sat_conversion,[],[f16038]) ).
cnf(s1743,plain,
( ~ spl2_98
| ~ spl2_133
| ~ spl2_192
| ~ spl2_404 ),
inference(sat_conversion,[],[f16048]) ).
cnf(s1750,plain,
( ~ spl2_102
| spl2_128
| spl2_159
| ~ spl2_192 ),
inference(sat_conversion,[],[f16055]) ).
cnf(s1755,plain,
( spl2_118
| ~ spl2_146
| spl2_155
| ~ spl2_239
| ~ spl2_252 ),
inference(sat_conversion,[],[f16061]) ).
cnf(s1756,plain,
( ~ spl2_98
| spl2_123
| spl2_156
| ~ spl2_192 ),
inference(sat_conversion,[],[f16062]) ).
cnf(s1757,plain,
( ~ spl2_175
| ~ spl2_239
| spl2_286
| spl2_347 ),
inference(sat_conversion,[],[f16065]) ).
cnf(s1762,plain,
( ~ spl2_226
| ~ spl2_273
| spl2_274
| spl2_347 ),
inference(sat_conversion,[],[f16074]) ).
cnf(s1764,plain,
( ~ spl2_48
| spl2_147
| ~ spl2_153
| ~ spl2_306 ),
inference(sat_conversion,[],[f16076]) ).
cnf(s1768,plain,
( spl2_118
| spl2_155
| ~ spl2_192
| ~ spl2_217
| ~ spl2_218 ),
inference(sat_conversion,[],[f16080]) ).
cnf(s1769,plain,
( spl2_347
| spl2_358 ),
inference(sat_conversion,[],[f16081]) ).
cnf(s1770,plain,
( ~ spl2_4
| ~ spl2_25
| spl2_107
| ~ spl2_218 ),
inference(sat_conversion,[],[f16082]) ).
cnf(s1784,plain,
( ~ spl2_14
| ~ spl2_102
| spl2_112
| spl2_128 ),
inference(sat_conversion,[],[f16174]) ).
cnf(s1832,plain,
( ~ spl2_196
| ~ spl2_225
| ~ spl2_422 ),
inference(sat_conversion,[],[f16649]) ).
cnf(s1836,plain,
( ~ spl2_185
| ~ spl2_273
| ~ spl2_321
| ~ spl2_389 ),
inference(sat_conversion,[],[f16655]) ).
cnf(s1853,plain,
( ~ spl2_188
| ~ spl2_231
| ~ spl2_287 ),
inference(sat_conversion,[],[f16789]) ).
cnf(s1858,plain,
( ~ spl2_157
| ~ spl2_225
| ~ spl2_326 ),
inference(sat_conversion,[],[f16833]) ).
cnf(s1859,plain,
( ~ spl2_15
| ~ spl2_211
| ~ spl2_326 ),
inference(sat_conversion,[],[f16835]) ).
cnf(s1877,plain,
( ~ spl2_13
| ~ spl2_106
| ~ spl2_130 ),
inference(sat_conversion,[],[f16876]) ).
cnf(s1885,plain,
( ~ spl2_10
| ~ spl2_13
| spl2_20 ),
inference(sat_conversion,[],[f16934]) ).
cnf(s1896,plain,
( ~ spl2_187
| ~ spl2_393 ),
inference(sat_conversion,[],[f17011]) ).
cnf(s1897,plain,
( ~ spl2_225
| ~ spl2_393 ),
inference(sat_conversion,[],[f17014]) ).
cnf(s1903,plain,
( ~ spl2_13
| ~ spl2_349
| ~ spl2_397 ),
inference(sat_conversion,[],[f17084]) ).
cnf(s1918,plain,
( ~ spl2_65
| spl2_118
| spl2_147
| spl2_155 ),
inference(sat_conversion,[],[f17159]) ).
cnf(s1933,plain,
( ~ spl2_230
| ~ spl2_239
| ~ spl2_274 ),
inference(sat_conversion,[],[f17347]) ).
cnf(s1940,plain,
( spl2_29
| ~ spl2_353
| ~ spl2_360 ),
inference(sat_conversion,[],[f17429]) ).
cnf(s1941,plain,
( spl2_26
| ~ spl2_349
| ~ spl2_360 ),
inference(sat_conversion,[],[f17430]) ).
cnf(s1954,plain,
( ~ spl2_4
| ~ spl2_24
| ~ spl2_117
| ~ spl2_149
| ~ spl2_183
| spl2_419 ),
inference(sat_conversion,[],[f17488]) ).
cnf(s1957,plain,
( ~ spl2_23
| ~ spl2_24
| ~ spl2_149
| ~ spl2_153
| ~ spl2_239 ),
inference(sat_conversion,[],[f17491]) ).
cnf(s1958,plain,
( ~ spl2_102
| spl2_128
| ~ spl2_174
| spl2_196 ),
inference(sat_conversion,[],[f17493]) ).
cnf(s1987,plain,
( ~ spl2_23
| ~ spl2_153
| ~ spl2_225
| ~ spl2_239
| ~ spl2_326 ),
inference(sat_conversion,[],[f17798]) ).
cnf(s1990,plain,
( spl2_13
| ~ spl2_102
| ~ spl2_114
| spl2_128 ),
inference(sat_conversion,[],[f17803]) ).
cnf(s1991,plain,
( ~ spl2_33
| spl2_112
| spl2_128
| ~ spl2_183
| ~ spl2_422 ),
inference(sat_conversion,[],[f17804]) ).
cnf(s1992,plain,
( spl2_106
| spl2_127
| ~ spl2_183
| ~ spl2_422 ),
inference(sat_conversion,[],[f17807]) ).
cnf(s1998,plain,
( ~ spl2_6
| spl2_39
| spl2_103
| ~ spl2_183
| ~ spl2_422 ),
inference(sat_conversion,[],[f17813]) ).
cnf(s2006,plain,
( ~ spl2_4
| spl2_39
| ~ spl2_95
| ~ spl2_183
| ~ spl2_422 ),
inference(sat_conversion,[],[f17852]) ).
cnf(s2012,plain,
( ~ spl2_31
| ~ spl2_205
| spl2_393 ),
inference(sat_conversion,[],[f17897]) ).
cnf(s2014,plain,
( ~ spl2_31
| ~ spl2_156
| spl2_322 ),
inference(sat_conversion,[],[f17917]) ).
cnf(s2023,plain,
( ~ spl2_24
| ~ spl2_188
| ~ spl2_288 ),
inference(sat_conversion,[],[f18029]) ).
cnf(s2027,plain,
( ~ spl2_183
| ~ spl2_219
| spl2_278
| ~ spl2_321
| ~ spl2_422 ),
inference(sat_conversion,[],[f18034]) ).
cnf(s2036,plain,
( spl2_118
| spl2_155
| ~ spl2_322
| ~ spl2_426 ),
inference(sat_conversion,[],[f18140]) ).
cnf(s2039,plain,
( spl2_1
| spl2_13
| ~ spl2_426 ),
inference(sat_conversion,[],[f18145]) ).
cnf(s2040,plain,
( ~ spl2_22
| spl2_188
| ~ spl2_211
| spl2_296 ),
inference(sat_conversion,[],[f18146]) ).
cnf(s2051,plain,
( spl2_114
| ~ spl2_184
| ~ spl2_366 ),
inference(sat_conversion,[],[f18259]) ).
cnf(s2056,plain,
( spl2_18
| ~ spl2_184
| ~ spl2_306 ),
inference(sat_conversion,[],[f18275]) ).
cnf(s2060,plain,
( spl2_8
| spl2_79
| ~ spl2_184 ),
inference(sat_conversion,[],[f18281]) ).
cnf(s2062,plain,
( spl2_45
| ~ spl2_184
| spl2_312 ),
inference(sat_conversion,[],[f18284]) ).
cnf(s2063,plain,
( spl2_134
| spl2_152
| ~ spl2_184 ),
inference(sat_conversion,[],[f18285]) ).
cnf(s2064,plain,
( spl2_21
| spl2_35
| spl2_124
| ~ spl2_184 ),
inference(sat_conversion,[],[f18286]) ).
cnf(s2065,plain,
( ~ spl2_15
| ~ spl2_24
| spl2_35
| ~ spl2_184 ),
inference(sat_conversion,[],[f18288]) ).
cnf(s2066,plain,
( spl2_35
| spl2_45
| ~ spl2_184 ),
inference(sat_conversion,[],[f18290]) ).
cnf(s2081,plain,
( ~ spl2_130
| ~ spl2_173
| ~ spl2_211 ),
inference(sat_conversion,[],[f18471]) ).
cnf(s2082,plain,
( ~ spl2_31
| spl2_179
| ~ spl2_187 ),
inference(sat_conversion,[],[f18472]) ).
cnf(s2083,plain,
( ~ spl2_31
| spl2_179
| ~ spl2_211 ),
inference(sat_conversion,[],[f18473]) ).
cnf(s2102,plain,
( spl2_13
| spl2_211
| ~ spl2_225
| spl2_278
| ~ spl2_422 ),
inference(sat_conversion,[],[f18679]) ).
cnf(s2107,plain,
( ~ spl2_159
| ~ spl2_231
| ~ spl2_428 ),
inference(sat_conversion,[],[f18745]) ).
cnf(s2109,plain,
( ~ spl2_4
| ~ spl2_179
| ~ spl2_278 ),
inference(sat_conversion,[],[f18761]) ).
cnf(s2126,plain,
( spl2_155
| ~ spl2_345
| ~ spl2_417 ),
inference(sat_conversion,[],[f19059]) ).
cnf(s2127,plain,
( spl2_134
| spl2_152
| ~ spl2_417 ),
inference(sat_conversion,[],[f19060]) ).
cnf(s2129,plain,
( ~ spl2_177
| spl2_186
| ~ spl2_267
| spl2_377 ),
inference(sat_conversion,[],[f19072]) ).
cnf(s2134,plain,
( ~ spl2_157
| ~ spl2_177
| ~ spl2_466 ),
inference(sat_conversion,[],[f19130]) ).
cnf(s2135,plain,
( ~ spl2_15
| ~ spl2_345
| ~ spl2_466 ),
inference(sat_conversion,[],[f19132]) ).
cnf(s2150,plain,
( ~ spl2_211
| ~ spl2_229
| ~ spl2_397 ),
inference(sat_conversion,[],[f19409]) ).
cnf(s2155,plain,
( ~ spl2_177
| ~ spl2_227
| ~ spl2_305 ),
inference(sat_conversion,[],[f19590]) ).
cnf(s2160,plain,
( ~ spl2_306
| ~ spl2_346
| ~ spl2_362 ),
inference(sat_conversion,[],[f19748]) ).
cnf(s2161,plain,
( ~ spl2_153
| ~ spl2_346
| ~ spl2_358 ),
inference(sat_conversion,[],[f19750]) ).
cnf(s2163,plain,
( ~ spl2_192
| ~ spl2_346
| ~ spl2_377 ),
inference(sat_conversion,[],[f19753]) ).
cnf(s2164,plain,
( ~ spl2_146
| ~ spl2_346
| spl2_373 ),
inference(sat_conversion,[],[f19754]) ).
cnf(s2165,plain,
( ~ spl2_29
| ~ spl2_153
| ~ spl2_346 ),
inference(sat_conversion,[],[f19756]) ).
cnf(s2168,plain,
( ~ spl2_188
| spl2_237
| spl2_246
| ~ spl2_305 ),
inference(sat_conversion,[],[f19815]) ).
cnf(s2170,plain,
( spl2_13
| spl2_155
| ~ spl2_188
| spl2_250
| ~ spl2_305 ),
inference(sat_conversion,[],[f19818]) ).
cnf(s2171,plain,
( ~ spl2_224
| ~ spl2_273
| ~ spl2_286 ),
inference(sat_conversion,[],[f19881]) ).
cnf(s2174,plain,
( ~ spl2_176
| ~ spl2_287
| ~ spl2_349 ),
inference(sat_conversion,[],[f19903]) ).
cnf(s2183,plain,
( spl2_13
| spl2_155
| spl2_250
| ~ spl2_349
| ~ spl2_468 ),
inference(sat_conversion,[],[f20041]) ).
cnf(s2185,plain,
( ~ spl2_178
| ~ spl2_285
| ~ spl2_358
| ~ spl2_382 ),
inference(sat_conversion,[],[f20091]) ).
cnf(s2188,plain,
( spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f20229]) ).
cnf(s2193,plain,
( spl2_194
| spl2_293
| ~ spl2_349
| ~ spl2_456 ),
inference(sat_conversion,[],[f20299]) ).
cnf(s2196,plain,
( ~ spl2_25
| ~ spl2_133
| ~ spl2_185
| ~ spl2_292 ),
inference(sat_conversion,[],[f20455]) ).
cnf(s2197,plain,
( ~ spl2_4
| ~ spl2_157
| ~ spl2_271
| ~ spl2_292
| ~ spl2_349
| ~ spl2_456 ),
inference(sat_conversion,[],[f20457]) ).
cnf(s2200,plain,
( ~ spl2_112
| ~ spl2_194
| ~ spl2_304 ),
inference(sat_conversion,[],[f20478]) ).
cnf(s2201,plain,
( spl2_13
| spl2_112
| spl2_128
| ~ spl2_157
| ~ spl2_271 ),
inference(sat_conversion,[],[f20479]) ).
cnf(s2204,plain,
( spl2_20
| ~ spl2_46
| ~ spl2_345
| spl2_362 ),
inference(sat_conversion,[],[f20485]) ).
cnf(s2206,plain,
( ~ spl2_24
| ~ spl2_349
| spl2_362 ),
inference(sat_conversion,[],[f20488]) ).
cnf(s2207,plain,
( ~ spl2_18
| ~ spl2_114
| ~ spl2_238
| ~ spl2_306 ),
inference(sat_conversion,[],[f20489]) ).
cnf(s2208,plain,
( spl2_26
| ~ spl2_46
| ~ spl2_349
| spl2_362 ),
inference(sat_conversion,[],[f20490]) ).
cnf(s2209,plain,
( ~ spl2_46
| spl2_139
| spl2_185
| ~ spl2_194 ),
inference(sat_conversion,[],[f20491]) ).
cnf(s2210,plain,
( ~ spl2_178
| ~ spl2_286
| ~ spl2_350 ),
inference(sat_conversion,[],[f20493]) ).
cnf(s2216,plain,
( ~ spl2_228
| ~ spl2_274
| ~ spl2_350 ),
inference(sat_conversion,[],[f20501]) ).
cnf(s2217,plain,
( ~ spl2_152
| ~ spl2_237
| ~ spl2_271 ),
inference(sat_conversion,[],[f20503]) ).
cnf(s2218,plain,
( ~ spl2_18
| spl2_42
| ~ spl2_133
| ~ spl2_157
| ~ spl2_271 ),
inference(sat_conversion,[],[f20505]) ).
cnf(s2219,plain,
( ~ spl2_18
| ~ spl2_25
| ~ spl2_283
| ~ spl2_306 ),
inference(sat_conversion,[],[f20506]) ).
cnf(s2221,plain,
( ~ spl2_211
| spl2_362
| ~ spl2_447 ),
inference(sat_conversion,[],[f20508]) ).
cnf(s2223,plain,
( spl2_13
| ~ spl2_18
| ~ spl2_247
| ~ spl2_306 ),
inference(sat_conversion,[],[f20510]) ).
cnf(s2225,plain,
( ~ spl2_18
| ~ spl2_25
| ~ spl2_119
| ~ spl2_133 ),
inference(sat_conversion,[],[f20512]) ).
cnf(s2234,plain,
( ~ spl2_4
| ~ spl2_29
| ~ spl2_42 ),
inference(sat_conversion,[],[f20655]) ).
cnf(s2236,plain,
( ~ spl2_4
| ~ spl2_25
| ~ spl2_42 ),
inference(sat_conversion,[],[f20658]) ).
cnf(s2237,plain,
( ~ spl2_102
| ~ spl2_114
| ~ spl2_216
| spl2_237 ),
inference(sat_conversion,[],[f20659]) ).
cnf(s2239,plain,
( ~ spl2_102
| ~ spl2_174
| ~ spl2_212
| ~ spl2_296 ),
inference(sat_conversion,[],[f20661]) ).
cnf(s2241,plain,
( ~ spl2_95
| ~ spl2_102
| ~ spl2_377
| ~ spl2_432 ),
inference(sat_conversion,[],[f20665]) ).
cnf(s2248,plain,
( ~ spl2_24
| spl2_185
| ~ spl2_188 ),
inference(sat_conversion,[],[f20749]) ).
cnf(s2251,plain,
( ~ spl2_157
| ~ spl2_196
| ~ spl2_343 ),
inference(sat_conversion,[],[f20765]) ).
cnf(s2252,plain,
( ~ spl2_112
| ~ spl2_135
| ~ spl2_397 ),
inference(sat_conversion,[],[f20783]) ).
cnf(s2253,plain,
( spl2_132
| ~ spl2_135
| spl2_476 ),
inference(sat_conversion,[],[f20787]) ).
cnf(s2261,plain,
( ~ spl2_157
| ~ spl2_361
| ~ spl2_373 ),
inference(sat_conversion,[],[f20889]) ).
cnf(s2263,plain,
( ~ spl2_188
| ~ spl2_373
| ~ spl2_447 ),
inference(sat_conversion,[],[f20892]) ).
cnf(s2268,plain,
( ~ spl2_79
| ~ spl2_157
| ~ spl2_287 ),
inference(sat_conversion,[],[f20982]) ).
cnf(s2271,plain,
( ~ spl2_185
| ~ spl2_219
| ~ spl2_224
| ~ spl2_407 ),
inference(sat_conversion,[],[f21034]) ).
cnf(s2272,plain,
( ~ spl2_112
| ~ spl2_120
| ~ spl2_315 ),
inference(sat_conversion,[],[f21046]) ).
cnf(s2273,plain,
( ~ spl2_112
| spl2_133
| ~ spl2_315 ),
inference(sat_conversion,[],[f21050]) ).
cnf(s2280,plain,
( ~ spl2_97
| spl2_417
| ~ spl2_428
| ~ spl2_433 ),
inference(sat_conversion,[],[f21297]) ).
cnf(s2290,plain,
( ~ spl2_29
| ~ spl2_95
| spl2_135
| ~ spl2_158 ),
inference(sat_conversion,[],[f21382]) ).
cnf(s2291,plain,
( ~ spl2_4
| ~ spl2_95
| spl2_97
| ~ spl2_158 ),
inference(sat_conversion,[],[f21384]) ).
cnf(s2293,plain,
( spl2_26
| ~ spl2_80
| ~ spl2_188
| spl2_219 ),
inference(sat_conversion,[],[f21434]) ).
cnf(s2299,plain,
( ~ spl2_179
| spl2_194
| ~ spl2_224
| ~ spl2_285 ),
inference(sat_conversion,[],[f21508]) ).
cnf(s2300,plain,
( spl2_118
| ~ spl2_179
| spl2_194
| ~ spl2_224
| ~ spl2_285 ),
inference(sat_conversion,[],[f21509]) ).
cnf(s2303,plain,
( ~ spl2_228
| ~ spl2_292
| spl2_354
| ~ spl2_358 ),
inference(sat_conversion,[],[f21577]) ).
cnf(s2307,plain,
( ~ spl2_112
| ~ spl2_354
| ~ spl2_397 ),
inference(sat_conversion,[],[f21601]) ).
cnf(s2312,plain,
( ~ spl2_75
| ~ spl2_366
| ~ spl2_367
| ~ spl2_368 ),
inference(sat_conversion,[],[f21649]) ).
cnf(s2316,plain,
( ~ spl2_131
| ~ spl2_149
| ~ spl2_237 ),
inference(sat_conversion,[],[f21655]) ).
cnf(s2317,plain,
( ~ spl2_13
| spl2_185
| ~ spl2_428 ),
inference(sat_conversion,[],[f21656]) ).
cnf(s2320,plain,
( ~ spl2_75
| spl2_118
| ~ spl2_146
| spl2_155
| ~ spl2_217 ),
inference(sat_conversion,[],[f21659]) ).
cnf(s2322,plain,
( ~ spl2_13
| spl2_306
| ~ spl2_422 ),
inference(sat_conversion,[],[f21662]) ).
cnf(s2324,plain,
( ~ spl2_13
| spl2_362
| ~ spl2_437 ),
inference(sat_conversion,[],[f21664]) ).
cnf(s2328,plain,
( ~ spl2_45
| spl2_185
| ~ spl2_300 ),
inference(sat_conversion,[],[f21672]) ).
cnf(s2329,plain,
( ~ spl2_45
| ~ spl2_56
| spl2_107
| ~ spl2_112 ),
inference(sat_conversion,[],[f21675]) ).
cnf(s2330,plain,
( ~ spl2_45
| ~ spl2_131
| spl2_133 ),
inference(sat_conversion,[],[f21676]) ).
cnf(s2332,plain,
( ~ spl2_37
| spl2_118
| ~ spl2_153
| spl2_155
| ~ spl2_217 ),
inference(sat_conversion,[],[f21679]) ).
cnf(s2333,plain,
( ~ spl2_153
| ~ spl2_230
| ~ spl2_292
| ~ spl2_478 ),
inference(sat_conversion,[],[f21684]) ).
cnf(s2335,plain,
( spl2_118
| spl2_155
| ~ spl2_224
| ~ spl2_239
| ~ spl2_392 ),
inference(sat_conversion,[],[f21691]) ).
cnf(s2336,plain,
( ~ spl2_226
| ~ spl2_350
| ~ spl2_366
| ~ spl2_392 ),
inference(sat_conversion,[],[f21693]) ).
cnf(s2340,plain,
( ~ spl2_4
| ~ spl2_25
| spl2_147
| ~ spl2_216 ),
inference(sat_conversion,[],[f21697]) ).
cnf(s2351,plain,
( ~ spl2_6
| ~ spl2_33
| spl2_188
| ~ spl2_392 ),
inference(sat_conversion,[],[f21708]) ).
cnf(s2353,plain,
( ~ spl2_6
| spl2_373
| ~ spl2_406 ),
inference(sat_conversion,[],[f21710]) ).
cnf(s2357,plain,
( ~ spl2_1
| spl2_179
| ~ spl2_428 ),
inference(sat_conversion,[],[f21717]) ).
cnf(s2370,plain,
( ~ spl2_37
| ~ spl2_358
| ~ spl2_366
| ~ spl2_368 ),
inference(sat_conversion,[],[f21776]) ).
cnf(s2377,plain,
( ~ spl2_4
| ~ spl2_17
| ~ spl2_95
| ~ spl2_235 ),
inference(sat_conversion,[],[f21784]) ).
cnf(s2384,plain,
( ~ spl2_196
| ~ spl2_198
| ~ spl2_421 ),
inference(sat_conversion,[],[f21796]) ).
cnf(s2393,plain,
( spl2_179
| spl2_205 ),
inference(sat_conversion,[],[f21861]) ).
cnf(s2396,plain,
( ~ spl2_50
| ~ spl2_350
| ~ spl2_366 ),
inference(sat_conversion,[],[f21897]) ).
cnf(s2397,plain,
( ~ spl2_50
| spl2_118
| spl2_155
| ~ spl2_239 ),
inference(sat_conversion,[],[f21898]) ).
cnf(s2413,plain,
( ~ spl2_22
| ~ spl2_97
| ~ spl2_112 ),
inference(sat_conversion,[],[f22016]) ).
cnf(s2423,plain,
( spl2_20
| ~ spl2_112
| ~ spl2_132 ),
inference(sat_conversion,[],[f22114]) ).
cnf(s2431,plain,
( ~ spl2_24
| spl2_107
| spl2_118
| ~ spl2_120
| ~ spl2_339 ),
inference(sat_conversion,[],[f22146]) ).
cnf(s2441,plain,
( ~ spl2_24
| spl2_97
| ~ spl2_120
| spl2_127 ),
inference(sat_conversion,[],[f22206]) ).
cnf(s2443,plain,
( ~ spl2_24
| ~ spl2_157
| spl2_306 ),
inference(sat_conversion,[],[f22228]) ).
cnf(s2469,plain,
( ~ spl2_102
| ~ spl2_192
| ~ spl2_250 ),
inference(sat_conversion,[],[f22523]) ).
cnf(s2485,plain,
( ~ spl2_120
| ~ spl2_345
| ~ spl2_452 ),
inference(sat_conversion,[],[f22826]) ).
cnf(s2489,plain,
( ~ spl2_147
| ~ spl2_347
| ~ spl2_361 ),
inference(sat_conversion,[],[f22925]) ).
cnf(s2490,plain,
( ~ spl2_178
| ~ spl2_242
| ~ spl2_350
| ~ spl2_377 ),
inference(sat_conversion,[],[f22944]) ).
cnf(s2491,plain,
( ~ spl2_6
| ~ spl2_102
| spl2_159
| ~ spl2_242 ),
inference(sat_conversion,[],[f22945]) ).
cnf(s2492,plain,
( ~ spl2_228
| ~ spl2_323
| ~ spl2_350
| ~ spl2_362 ),
inference(sat_conversion,[],[f22967]) ).
cnf(s2494,plain,
( ~ spl2_205
| ~ spl2_353
| ~ spl2_456 ),
inference(sat_conversion,[],[f22997]) ).
cnf(s2496,plain,
( ~ spl2_6
| ~ spl2_102
| ~ spl2_193
| spl2_196 ),
inference(sat_conversion,[],[f23043]) ).
cnf(s2497,plain,
( ~ spl2_226
| ~ spl2_350
| ~ spl2_382
| ~ spl2_387 ),
inference(sat_conversion,[],[f23131]) ).
cnf(s2499,plain,
( spl2_354
| spl2_382 ),
inference(sat_conversion,[],[f23141]) ).
cnf(s2500,plain,
( spl2_354
| spl2_382
| spl2_470 ),
inference(sat_conversion,[],[f23143]) ).
cnf(s2504,plain,
( ~ spl2_178
| ~ spl2_246
| ~ spl2_367
| ~ spl2_382 ),
inference(sat_conversion,[],[f23218]) ).
cnf(s2505,plain,
( spl2_194
| spl2_321 ),
inference(sat_conversion,[],[f23227]) ).
cnf(s2506,plain,
( spl2_194
| spl2_321
| spl2_417 ),
inference(sat_conversion,[],[f23229]) ).
cnf(s2510,plain,
( ~ spl2_146
| ~ spl2_230
| ~ spl2_293
| ~ spl2_478 ),
inference(sat_conversion,[],[f23321]) ).
cnf(s2512,plain,
( ~ spl2_17
| spl2_118
| spl2_155
| ~ spl2_185
| ~ spl2_400 ),
inference(sat_conversion,[],[f23379]) ).
cnf(s2513,plain,
( ~ spl2_185
| ~ spl2_224
| ~ spl2_321
| ~ spl2_396 ),
inference(sat_conversion,[],[f23419]) ).
cnf(s2514,plain,
( ~ spl2_178
| ~ spl2_362
| ~ spl2_382
| ~ spl2_396 ),
inference(sat_conversion,[],[f23421]) ).
cnf(s2515,plain,
( ~ spl2_179
| ~ spl2_226
| ~ spl2_321
| ~ spl2_431 ),
inference(sat_conversion,[],[f23423]) ).
cnf(s2519,plain,
( ~ spl2_174
| ~ spl2_219
| ~ spl2_224
| ~ spl2_238 ),
inference(sat_conversion,[],[f23428]) ).
cnf(s2521,plain,
( ~ spl2_219
| ~ spl2_226
| spl2_278
| spl2_373 ),
inference(sat_conversion,[],[f23431]) ).
cnf(s2522,plain,
( ~ spl2_228
| ~ spl2_273
| ~ spl2_321
| ~ spl2_399 ),
inference(sat_conversion,[],[f23433]) ).
cnf(s2524,plain,
( ~ spl2_175
| ~ spl2_217
| ~ spl2_306
| ~ spl2_415 ),
inference(sat_conversion,[],[f23441]) ).
cnf(s2526,plain,
( ~ spl2_17
| ~ spl2_133
| spl2_345
| ~ spl2_399 ),
inference(sat_conversion,[],[f23444]) ).
cnf(s2529,plain,
( ~ spl2_6
| ~ spl2_146
| spl2_188
| ~ spl2_403 ),
inference(sat_conversion,[],[f23448]) ).
cnf(s2536,plain,
( ~ spl2_185
| spl2_205
| ~ spl2_264 ),
inference(sat_conversion,[],[f23457]) ).
cnf(s2537,plain,
( ~ spl2_6
| ~ spl2_33
| spl2_157
| ~ spl2_427 ),
inference(sat_conversion,[],[f23459]) ).
cnf(s2538,plain,
( ~ spl2_25
| ~ spl2_133
| ~ spl2_362
| ~ spl2_431 ),
inference(sat_conversion,[],[f23460]) ).
cnf(s2541,plain,
( ~ spl2_185
| ~ spl2_219
| ~ spl2_226
| ~ spl2_415 ),
inference(sat_conversion,[],[f23463]) ).
cnf(s2543,plain,
( ~ spl2_185
| ~ spl2_226
| ~ spl2_273
| ~ spl2_412 ),
inference(sat_conversion,[],[f23468]) ).
cnf(s2545,plain,
( spl2_118
| spl2_155
| ~ spl2_217
| ~ spl2_221
| ~ spl2_224 ),
inference(sat_conversion,[],[f23470]) ).
cnf(s2546,plain,
( ~ spl2_6
| spl2_97
| spl2_188
| ~ spl2_387 ),
inference(sat_conversion,[],[f23471]) ).
cnf(s2547,plain,
( ~ spl2_98
| ~ spl2_192
| spl2_194
| ~ spl2_403 ),
inference(sat_conversion,[],[f23472]) ).
cnf(s2551,plain,
( ~ spl2_189
| ~ spl2_228
| ~ spl2_368
| ~ spl2_377 ),
inference(sat_conversion,[],[f23477]) ).
cnf(s2553,plain,
( spl2_196
| ~ spl2_228
| ~ spl2_368
| spl2_369 ),
inference(sat_conversion,[],[f23479]) ).
cnf(s2555,plain,
( spl2_205
| ~ spl2_228
| ~ spl2_350
| spl2_406 ),
inference(sat_conversion,[],[f23481]) ).
cnf(s2556,plain,
( ~ spl2_228
| ~ spl2_319
| ~ spl2_362
| ~ spl2_368 ),
inference(sat_conversion,[],[f23482]) ).
cnf(s2557,plain,
( ~ spl2_13
| ~ spl2_26 ),
inference(sat_conversion,[],[f23489]) ).
cnf(s2575,plain,
( ~ spl2_154
| ~ spl2_159
| ~ spl2_421 ),
inference(sat_conversion,[],[f23589]) ).
cnf(s2617,plain,
( ~ spl2_13
| ~ spl2_120
| ~ spl2_232 ),
inference(sat_conversion,[],[f23918]) ).
cnf(s2632,plain,
( ~ spl2_38
| ~ spl2_350
| ~ spl2_358
| ~ spl2_366 ),
inference(sat_conversion,[],[f24004]) ).
cnf(s2634,plain,
( ~ spl2_22
| ~ spl2_345
| ~ spl2_373 ),
inference(sat_conversion,[],[f24016]) ).
cnf(s2652,plain,
( ~ spl2_24
| spl2_97
| spl2_369
| ~ spl2_382
| ~ spl2_453 ),
inference(sat_conversion,[],[f24180]) ).
cnf(s2657,plain,
( ~ spl2_217
| ~ spl2_230
| ~ spl2_306
| ~ spl2_319 ),
inference(sat_conversion,[],[f24224]) ).
cnf(s2659,plain,
( ~ spl2_202
| ~ spl2_230
| ~ spl2_273
| ~ spl2_427 ),
inference(sat_conversion,[],[f24227]) ).
cnf(s2663,plain,
( spl2_377
| spl2_484 ),
inference(sat_conversion,[],[f24256]) ).
cnf(s2672,plain,
( ~ spl2_182
| ~ spl2_227
| spl2_376 ),
inference(sat_conversion,[],[f24450]) ).
cnf(s2673,plain,
( spl2_179
| spl2_198
| ~ spl2_227
| spl2_376 ),
inference(sat_conversion,[],[f24451]) ).
cnf(s2674,plain,
( ~ spl2_229
| ~ spl2_376 ),
inference(sat_conversion,[],[f24458]) ).
cnf(s2681,plain,
( ~ spl2_130
| spl2_180
| spl2_366
| ~ spl2_484 ),
inference(sat_conversion,[],[f24472]) ).
cnf(s2682,plain,
( ~ spl2_350
| ~ spl2_367
| ~ spl2_382
| ~ spl2_481 ),
inference(sat_conversion,[],[f24473]) ).
cnf(s2684,plain,
( ~ spl2_4
| spl2_187
| ~ spl2_219
| spl2_419 ),
inference(sat_conversion,[],[f24475]) ).
cnf(s2689,plain,
( ~ spl2_130
| ~ spl2_345
| ~ spl2_484 ),
inference(sat_conversion,[],[f24481]) ).
cnf(s2696,plain,
( ~ spl2_6
| ~ spl2_18
| spl2_373
| ~ spl2_412 ),
inference(sat_conversion,[],[f24495]) ).
cnf(s2697,plain,
( ~ spl2_220
| ~ spl2_273
| ~ spl2_321
| ~ spl2_481 ),
inference(sat_conversion,[],[f24496]) ).
cnf(s2725,plain,
( ~ spl2_24
| ~ spl2_149
| ~ spl2_239
| spl2_286
| spl2_421 ),
inference(sat_conversion,[],[f24652]) ).
cnf(s2726,plain,
( ~ spl2_4
| ~ spl2_24
| spl2_147
| ~ spl2_149
| spl2_419 ),
inference(sat_conversion,[],[f24653]) ).
cnf(s2730,plain,
( ~ spl2_120
| ~ spl2_183
| spl2_268
| spl2_306 ),
inference(sat_conversion,[],[f24681]) ).
cnf(s2757,plain,
( spl2_118
| spl2_155
| ~ spl2_175
| spl2_345
| spl2_346 ),
inference(sat_conversion,[],[f25070]) ).
cnf(s2760,plain,
( ~ spl2_202
| ~ spl2_226
| spl2_345
| spl2_490 ),
inference(sat_conversion,[],[f25148]) ).
cnf(s2764,plain,
( ~ spl2_103
| ~ spl2_187
| ~ spl2_329 ),
inference(sat_conversion,[],[f25197]) ).
cnf(s2771,plain,
( ~ spl2_185
| ~ spl2_362
| ~ spl2_490 ),
inference(sat_conversion,[],[f25413]) ).
cnf(s2773,plain,
( ~ spl2_175
| ~ spl2_230
| ~ spl2_490 ),
inference(sat_conversion,[],[f25416]) ).
cnf(s2774,plain,
( ~ spl2_174
| ~ spl2_377
| ~ spl2_490 ),
inference(sat_conversion,[],[f25418]) ).
cnf(s2775,plain,
( ~ spl2_35
| spl2_345
| ~ spl2_362
| spl2_418 ),
inference(sat_conversion,[],[f25419]) ).
cnf(s2779,plain,
( ~ spl2_119
| ~ spl2_358
| ~ spl2_368
| ~ spl2_382 ),
inference(sat_conversion,[],[f25423]) ).
cnf(s2782,plain,
( ~ spl2_17
| ~ spl2_35
| ~ spl2_362
| ~ spl2_412 ),
inference(sat_conversion,[],[f25427]) ).
cnf(s2784,plain,
( ~ spl2_177
| spl2_322
| spl2_358
| spl2_374 ),
inference(sat_conversion,[],[f25430]) ).
cnf(s2786,plain,
( ~ spl2_17
| ~ spl2_35
| ~ spl2_366
| ~ spl2_440 ),
inference(sat_conversion,[],[f25432]) ).
cnf(s2793,plain,
( ~ spl2_12
| spl2_95
| ~ spl2_131 ),
inference(sat_conversion,[],[f25441]) ).
cnf(s2795,plain,
( ~ spl2_235
| ~ spl2_362
| ~ spl2_368
| ~ spl2_382 ),
inference(sat_conversion,[],[f25443]) ).
cnf(s2797,plain,
( ~ spl2_17
| ~ spl2_35
| spl2_155
| ~ spl2_427 ),
inference(sat_conversion,[],[f25445]) ).
cnf(s2800,plain,
( ~ spl2_4
| ~ spl2_29
| spl2_39
| spl2_491 ),
inference(sat_conversion,[],[f25529]) ).
cnf(s2801,plain,
( ~ spl2_4
| ~ spl2_17
| ~ spl2_29
| ~ spl2_235 ),
inference(sat_conversion,[],[f25530]) ).
cnf(s2819,plain,
( ~ spl2_231
| ~ spl2_268
| spl2_393 ),
inference(sat_conversion,[],[f25751]) ).
cnf(s2820,plain,
( ~ spl2_194
| ~ spl2_231
| ~ spl2_271 ),
inference(sat_conversion,[],[f25753]) ).
cnf(s2822,plain,
( ~ spl2_48
| spl2_353
| ~ spl2_358
| ~ spl2_362 ),
inference(sat_conversion,[],[f25755]) ).
cnf(s2824,plain,
( ~ spl2_23
| ~ spl2_95
| ~ spl2_98
| ~ spl2_102 ),
inference(sat_conversion,[],[f25757]) ).
cnf(s2825,plain,
( ~ spl2_350
| ~ spl2_362
| ~ spl2_368
| ~ spl2_395 ),
inference(sat_conversion,[],[f25759]) ).
cnf(s2826,plain,
( ~ spl2_98
| ~ spl2_114
| spl2_237
| ~ spl2_427 ),
inference(sat_conversion,[],[f25760]) ).
cnf(s2827,plain,
( ~ spl2_4
| ~ spl2_98
| ~ spl2_102
| spl2_123 ),
inference(sat_conversion,[],[f25761]) ).
cnf(s2830,plain,
( ~ spl2_98
| ~ spl2_114
| spl2_194
| ~ spl2_392 ),
inference(sat_conversion,[],[f25764]) ).
cnf(s2831,plain,
( ~ spl2_98
| ~ spl2_102
| spl2_194
| ~ spl2_480 ),
inference(sat_conversion,[],[f25765]) ).
cnf(s2849,plain,
( ~ spl2_25
| ~ spl2_98
| ~ spl2_114
| spl2_123 ),
inference(sat_conversion,[],[f25898]) ).
cnf(s2851,plain,
( spl2_77
| ~ spl2_98
| ~ spl2_114
| spl2_123 ),
inference(sat_conversion,[],[f25902]) ).
cnf(s2880,plain,
( ~ spl2_132
| spl2_376
| ~ spl2_484 ),
inference(sat_conversion,[],[f26201]) ).
cnf(s2898,plain,
( ~ spl2_4
| ~ spl2_208
| ~ spl2_350
| spl2_406
| ~ spl2_484 ),
inference(sat_conversion,[],[f26327]) ).
cnf(s2901,plain,
( ~ spl2_23
| ~ spl2_208
| ~ spl2_350
| ~ spl2_358
| ~ spl2_484 ),
inference(sat_conversion,[],[f26330]) ).
cnf(s2903,plain,
( ~ spl2_232
| ~ spl2_354
| ~ spl2_373 ),
inference(sat_conversion,[],[f26347]) ).
cnf(s2919,plain,
( ~ spl2_23
| ~ spl2_24
| ~ spl2_350
| ~ spl2_358
| ~ spl2_453 ),
inference(sat_conversion,[],[f26437]) ).
cnf(s2920,plain,
( ~ spl2_12
| ~ spl2_24
| ~ spl2_350
| spl2_406
| ~ spl2_453 ),
inference(sat_conversion,[],[f26438]) ).
cnf(s2930,plain,
( ~ spl2_233
| ~ spl2_350
| ~ spl2_368
| ~ spl2_377 ),
inference(sat_conversion,[],[f26537]) ).
cnf(s2935,plain,
( ~ spl2_98
| ~ spl2_133
| ~ spl2_377
| ~ spl2_412 ),
inference(sat_conversion,[],[f26542]) ).
cnf(s2943,plain,
( ~ spl2_98
| ~ spl2_377
| ~ spl2_406 ),
inference(sat_conversion,[],[f26657]) ).
cnf(s2966,plain,
( spl2_139
| ~ spl2_354
| ~ spl2_360 ),
inference(sat_conversion,[],[f26812]) ).
cnf(s2970,plain,
( spl2_95
| spl2_116
| spl2_376
| ~ spl2_484 ),
inference(sat_conversion,[],[f26816]) ).
cnf(s2973,plain,
( ~ spl2_95
| spl2_97
| spl2_118
| ~ spl2_419 ),
inference(sat_conversion,[],[f26848]) ).
cnf(s2990,plain,
( ~ spl2_189
| ~ spl2_192
| ~ spl2_217
| ~ spl2_230 ),
inference(sat_conversion,[],[f26983]) ).
cnf(s3011,plain,
( ~ spl2_22
| ~ spl2_155
| ~ spl2_159 ),
inference(sat_conversion,[],[f27098]) ).
cnf(s3012,plain,
( ~ spl2_174
| ~ spl2_219
| ~ spl2_233
| ~ spl2_273 ),
inference(sat_conversion,[],[f27099]) ).
cnf(s3015,plain,
( ~ spl2_35
| ~ spl2_185
| spl2_211
| spl2_223 ),
inference(sat_conversion,[],[f27103]) ).
cnf(s3020,plain,
( ~ spl2_185
| spl2_187
| spl2_323 ),
inference(sat_conversion,[],[f27108]) ).
cnf(s3030,plain,
( ~ spl2_35
| spl2_312 ),
inference(sat_conversion,[],[f27158]) ).
cnf(s3035,plain,
( ~ spl2_6
| ~ spl2_8
| spl2_106
| ~ spl2_233 ),
inference(sat_conversion,[],[f27170]) ).
cnf(s3042,plain,
( ~ spl2_17
| ~ spl2_18
| spl2_112
| ~ spl2_233 ),
inference(sat_conversion,[],[f27181]) ).
cnf(s3048,plain,
( ~ spl2_8
| ~ spl2_118
| spl2_134 ),
inference(sat_conversion,[],[f27262]) ).
cnf(s3050,plain,
( ~ spl2_118
| spl2_133
| ~ spl2_230 ),
inference(sat_conversion,[],[f27265]) ).
cnf(s3051,plain,
( spl2_33
| ~ spl2_114
| ~ spl2_118 ),
inference(sat_conversion,[],[f27267]) ).
cnf(s3052,plain,
( ~ spl2_25
| ~ spl2_118
| spl2_153 ),
inference(sat_conversion,[],[f27269]) ).
cnf(s3058,plain,
( spl2_97
| ~ spl2_118
| ~ spl2_196 ),
inference(sat_conversion,[],[f27277]) ).
cnf(s3077,plain,
( ~ spl2_15
| spl2_46
| ~ spl2_491 ),
inference(sat_conversion,[],[f27371]) ).
cnf(s3080,plain,
( ~ spl2_4
| ~ spl2_17
| ~ spl2_18
| spl2_50 ),
inference(sat_conversion,[],[f27400]) ).
cnf(s3085,plain,
( ~ spl2_17
| ~ spl2_18
| ~ spl2_23
| ~ spl2_25 ),
inference(sat_conversion,[],[f27407]) ).
cnf(s3108,plain,
( ~ spl2_219
| ~ spl2_273
| spl2_274
| spl2_421 ),
inference(sat_conversion,[],[f27562]) ).
cnf(s3117,plain,
( ~ spl2_22
| ~ spl2_196
| ~ spl2_211 ),
inference(sat_conversion,[],[f27654]) ).
cnf(s3135,plain,
( spl2_12
| ~ spl2_121
| ~ spl2_133 ),
inference(sat_conversion,[],[f27770]) ).
cnf(s3154,plain,
( spl2_237
| spl2_478 ),
inference(sat_conversion,[],[f27926]) ).
cnf(s3155,plain,
( spl2_28
| spl2_237
| spl2_478 ),
inference(sat_conversion,[],[f27928]) ).
cnf(s3160,plain,
( ~ spl2_15
| spl2_360
| spl2_362
| ~ spl2_373 ),
inference(sat_conversion,[],[f27942]) ).
cnf(s3168,plain,
( ~ spl2_25
| ~ spl2_350
| ~ spl2_366
| spl2_406 ),
inference(sat_conversion,[],[f28073]) ).
cnf(s3170,plain,
( spl2_77
| ~ spl2_350
| ~ spl2_366
| spl2_406 ),
inference(sat_conversion,[],[f28075]) ).
cnf(s3176,plain,
( ~ spl2_4
| ~ spl2_24
| ~ spl2_350
| spl2_406
| ~ spl2_453 ),
inference(sat_conversion,[],[f28121]) ).
cnf(s3192,plain,
( ~ spl2_24
| ~ spl2_149
| ~ spl2_230
| ~ spl2_278 ),
inference(sat_conversion,[],[f28303]) ).
cnf(s3197,plain,
( ~ spl2_22
| ~ spl2_24
| ~ spl2_155
| ~ spl2_178
| spl2_369
| ~ spl2_453 ),
inference(sat_conversion,[],[f28381]) ).
cnf(s3198,plain,
( ~ spl2_13
| ~ spl2_188
| ~ spl2_304 ),
inference(sat_conversion,[],[f28391]) ).
cnf(s3205,plain,
( ~ spl2_147
| spl2_306
| ~ spl2_337 ),
inference(sat_conversion,[],[f28468]) ).
cnf(s3206,plain,
( ~ spl2_155
| spl2_306
| ~ spl2_337 ),
inference(sat_conversion,[],[f28470]) ).
cnf(s3208,plain,
( ~ spl2_230
| ~ spl2_328
| ~ spl2_478 ),
inference(sat_conversion,[],[f28490]) ).
cnf(s3209,plain,
( ~ spl2_133
| ~ spl2_185
| ~ spl2_328 ),
inference(sat_conversion,[],[f28492]) ).
cnf(s3211,plain,
( ~ spl2_228
| ~ spl2_328
| ~ spl2_382 ),
inference(sat_conversion,[],[f28494]) ).
cnf(s3213,plain,
( ~ spl2_12
| ~ spl2_155
| ~ spl2_245 ),
inference(sat_conversion,[],[f28496]) ).
cnf(s3218,plain,
( ~ spl2_25
| ~ spl2_202
| ~ spl2_273
| spl2_274 ),
inference(sat_conversion,[],[f28501]) ).
cnf(s3219,plain,
( spl2_12
| ~ spl2_366
| spl2_440 ),
inference(sat_conversion,[],[f28504]) ).
cnf(s3221,plain,
( ~ spl2_12
| spl2_153
| ~ spl2_297 ),
inference(sat_conversion,[],[f28507]) ).
cnf(s3224,plain,
( spl2_147
| ~ spl2_178
| spl2_405 ),
inference(sat_conversion,[],[f28510]) ).
cnf(s3226,plain,
( ~ spl2_22
| spl2_147
| ~ spl2_155
| spl2_436 ),
inference(sat_conversion,[],[f28512]) ).
cnf(s3240,plain,
( ~ spl2_4
| ~ spl2_219
| ~ spl2_273
| spl2_274 ),
inference(sat_conversion,[],[f28632]) ).
cnf(s3241,plain,
( ~ spl2_23
| ~ spl2_179
| ~ spl2_219
| ~ spl2_273 ),
inference(sat_conversion,[],[f28633]) ).
cnf(s3242,plain,
( ~ spl2_97
| ~ spl2_116
| ~ spl2_219
| ~ spl2_273
| spl2_274 ),
inference(sat_conversion,[],[f28634]) ).
cnf(s3247,plain,
( ~ spl2_114
| spl2_155
| ~ spl2_192
| spl2_241 ),
inference(sat_conversion,[],[f28638]) ).
cnf(s3248,plain,
( ~ spl2_4
| spl2_13
| ~ spl2_25
| spl2_39 ),
inference(sat_conversion,[],[f28639]) ).
cnf(s3254,plain,
( spl2_155
| ~ spl2_178
| spl2_346
| ~ spl2_366 ),
inference(sat_conversion,[],[f28645]) ).
cnf(s3291,plain,
( spl2_13
| ~ spl2_133
| ~ spl2_457 ),
inference(sat_conversion,[],[f28920]) ).
cnf(s3312,plain,
( ~ spl2_220
| ~ spl2_224
| ~ spl2_273
| ~ spl2_436 ),
inference(sat_conversion,[],[f29364]) ).
cnf(s3313,plain,
( ~ spl2_103
| ~ spl2_353
| ~ spl2_452 ),
inference(sat_conversion,[],[f29382]) ).
cnf(s3314,plain,
( ~ spl2_107
| ~ spl2_347
| ~ spl2_485 ),
inference(sat_conversion,[],[f29395]) ).
cnf(s3315,plain,
( ~ spl2_107
| spl2_358
| ~ spl2_485 ),
inference(sat_conversion,[],[f29397]) ).
cnf(s3316,plain,
( spl2_97
| ~ spl2_102
| ~ spl2_192
| ~ spl2_247 ),
inference(sat_conversion,[],[f29455]) ).
cnf(s3318,plain,
( ~ spl2_102
| ~ spl2_133
| ~ spl2_192
| ~ spl2_407 ),
inference(sat_conversion,[],[f29544]) ).
cnf(s3320,plain,
( spl2_97
| ~ spl2_102
| ~ spl2_377
| ~ spl2_492 ),
inference(sat_conversion,[],[f29627]) ).
cnf(s3321,plain,
( ~ spl2_102
| ~ spl2_133
| ~ spl2_377
| ~ spl2_415 ),
inference(sat_conversion,[],[f29687]) ).
cnf(s3322,plain,
( ~ spl2_6
| ~ spl2_102
| spl2_373
| ~ spl2_494 ),
inference(sat_conversion,[],[f29705]) ).
cnf(s3323,plain,
( ~ spl2_17
| ~ spl2_240
| ~ spl2_352
| ~ spl2_362 ),
inference(sat_conversion,[],[f29722]) ).
cnf(s3324,plain,
( ~ spl2_178
| ~ spl2_236
| ~ spl2_377
| ~ spl2_382 ),
inference(sat_conversion,[],[f29763]) ).
cnf(s3327,plain,
( ~ spl2_178
| ~ spl2_350
| ~ spl2_362
| ~ spl2_404 ),
inference(sat_conversion,[],[f29768]) ).
cnf(s3329,plain,
( ~ spl2_185
| ~ spl2_224
| ~ spl2_273
| ~ spl2_404 ),
inference(sat_conversion,[],[f29771]) ).
cnf(s3332,plain,
( spl2_97
| ~ spl2_102
| spl2_159
| ~ spl2_236 ),
inference(sat_conversion,[],[f29774]) ).
cnf(s3333,plain,
( ~ spl2_174
| ~ spl2_224
| ~ spl2_236
| ~ spl2_321 ),
inference(sat_conversion,[],[f29776]) ).
cnf(s3334,plain,
( ~ spl2_178
| ~ spl2_236
| ~ spl2_377
| ~ spl2_382 ),
inference(sat_conversion,[],[f29777]) ).
cnf(s3336,plain,
( ~ spl2_21
| ~ spl2_288
| spl2_393 ),
inference(sat_conversion,[],[f29809]) ).
cnf(s3337,plain,
( ~ spl2_21
| ~ spl2_149
| spl2_322 ),
inference(sat_conversion,[],[f29810]) ).
cnf(s3338,plain,
( ~ spl2_13
| ~ spl2_157
| ~ spl2_251 ),
inference(sat_conversion,[],[f29811]) ).
cnf(s3339,plain,
( ~ spl2_178
| ~ spl2_238
| ~ spl2_368
| ~ spl2_377 ),
inference(sat_conversion,[],[f29812]) ).
cnf(s3343,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_196
| ~ spl2_291 ),
inference(sat_conversion,[],[f29817]) ).
cnf(s3348,plain,
( ~ spl2_6
| ~ spl2_146
| spl2_349
| ~ spl2_405 ),
inference(sat_conversion,[],[f29823]) ).
cnf(s3352,plain,
( ~ spl2_6
| ~ spl2_33
| spl2_349
| ~ spl2_440 ),
inference(sat_conversion,[],[f29827]) ).
cnf(s3353,plain,
( spl2_156
| ~ spl2_178
| ~ spl2_350
| spl2_406 ),
inference(sat_conversion,[],[f29828]) ).
cnf(s3377,plain,
( ~ spl2_31
| ~ spl2_345
| spl2_358 ),
inference(sat_conversion,[],[f30062]) ).
cnf(s3378,plain,
( ~ spl2_31
| spl2_171
| ~ spl2_339 ),
inference(sat_conversion,[],[f30065]) ).
cnf(s3422,plain,
( ~ spl2_173
| ~ spl2_225
| ~ spl2_267 ),
inference(sat_conversion,[],[f30721]) ).
cnf(s3429,plain,
( ~ spl2_181
| ~ spl2_229
| ~ spl2_484 ),
inference(sat_conversion,[],[f30839]) ).
cnf(s3430,plain,
( ~ spl2_1
| spl2_153
| ~ spl2_422 ),
inference(sat_conversion,[],[f30841]) ).
cnf(s3431,plain,
( ~ spl2_98
| ~ spl2_114
| ~ spl2_212
| ~ spl2_252 ),
inference(sat_conversion,[],[f30843]) ).
cnf(s3435,plain,
( ~ spl2_6
| ~ spl2_22
| spl2_39
| ~ spl2_345
| spl2_347 ),
inference(sat_conversion,[],[f30849]) ).
cnf(s3438,plain,
( spl2_1
| spl2_97
| ~ spl2_425 ),
inference(sat_conversion,[],[f30853]) ).
cnf(s3439,plain,
( ~ spl2_6
| spl2_196
| ~ spl2_274 ),
inference(sat_conversion,[],[f30854]) ).
cnf(s3446,plain,
( spl2_12
| ~ spl2_114
| spl2_391 ),
inference(sat_conversion,[],[f30865]) ).
cnf(s3448,plain,
( ~ spl2_202
| ~ spl2_220
| ~ spl2_252
| ~ spl2_273 ),
inference(sat_conversion,[],[f30867]) ).
cnf(s3449,plain,
( spl2_12
| ~ spl2_202
| spl2_392 ),
inference(sat_conversion,[],[f30868]) ).
cnf(s3457,plain,
( ~ spl2_4
| spl2_187
| ~ spl2_219
| spl2_419 ),
inference(sat_conversion,[],[f30876]) ).
cnf(s3467,plain,
( spl2_95
| spl2_118
| ~ spl2_171 ),
inference(sat_conversion,[],[f30901]) ).
cnf(s3469,plain,
( ~ spl2_139
| ~ spl2_173 ),
inference(sat_conversion,[],[f30907]) ).
cnf(s3470,plain,
( ~ spl2_98
| ~ spl2_192
| spl2_354
| ~ spl2_405 ),
inference(sat_conversion,[],[f30910]) ).
cnf(s3473,plain,
( ~ spl2_185
| ~ spl2_224
| ~ spl2_273
| ~ spl2_404 ),
inference(sat_conversion,[],[f30913]) ).
cnf(s3475,plain,
( ~ spl2_175
| ~ spl2_217
| spl2_250
| spl2_373 ),
inference(sat_conversion,[],[f30915]) ).
cnf(s3476,plain,
( spl2_155
| ~ spl2_202
| ~ spl2_224
| spl2_275 ),
inference(sat_conversion,[],[f30916]) ).
cnf(s3477,plain,
( spl2_156
| ~ spl2_224
| ~ spl2_273
| spl2_274 ),
inference(sat_conversion,[],[f30917]) ).
cnf(s3478,plain,
( spl2_159
| ~ spl2_219
| ~ spl2_224
| spl2_278 ),
inference(sat_conversion,[],[f30918]) ).
cnf(s3480,plain,
( ~ spl2_98
| ~ spl2_114
| spl2_354
| ~ spl2_440 ),
inference(sat_conversion,[],[f30920]) ).
cnf(s3489,plain,
( ~ spl2_6
| spl2_13
| ~ spl2_25
| spl2_39 ),
inference(sat_conversion,[],[f30992]) ).
cnf(s3490,plain,
( ~ spl2_6
| spl2_13
| spl2_39
| spl2_77 ),
inference(sat_conversion,[],[f30994]) ).
cnf(s3537,plain,
( ~ spl2_217
| ~ spl2_230
| ~ spl2_278 ),
inference(sat_conversion,[],[f31550]) ).
cnf(s3545,plain,
( ~ spl2_112
| spl2_362
| ~ spl2_485 ),
inference(sat_conversion,[],[f31793]) ).
cnf(s3546,plain,
( ~ spl2_156
| ~ spl2_353
| ~ spl2_468 ),
inference(sat_conversion,[],[f31844]) ).
cnf(s3550,plain,
( spl2_96
| spl2_97 ),
inference(sat_conversion,[],[f31953]) ).
cnf(s3551,plain,
( ~ spl2_217
| ~ spl2_224
| ~ spl2_408
| ~ spl2_478 ),
inference(sat_conversion,[],[f32010]) ).
cnf(s3552,plain,
( ~ spl2_98
| spl2_123
| ~ spl2_358
| ~ spl2_377 ),
inference(sat_conversion,[],[f32028]) ).
cnf(s3554,plain,
( ~ spl2_230
| ~ spl2_306
| ~ spl2_320
| ~ spl2_478 ),
inference(sat_conversion,[],[f32049]) ).
cnf(s3566,plain,
( ~ spl2_25
| spl2_50
| ~ spl2_95
| ~ spl2_388 ),
inference(sat_conversion,[],[f32193]) ).
cnf(s3567,plain,
( spl2_13
| spl2_42
| spl2_97
| ~ spl2_388 ),
inference(sat_conversion,[],[f32194]) ).
cnf(s3569,plain,
( ~ spl2_195
| ~ spl2_228
| ~ spl2_377
| ~ spl2_382 ),
inference(sat_conversion,[],[f32219]) ).
cnf(s3571,plain,
( ~ spl2_6
| ~ spl2_212
| spl2_349
| ~ spl2_399 ),
inference(sat_conversion,[],[f32221]) ).
cnf(s3573,plain,
( ~ spl2_13
| ~ spl2_56
| ~ spl2_106
| spl2_107 ),
inference(sat_conversion,[],[f32223]) ).
cnf(s3574,plain,
( ~ spl2_17
| ~ spl2_133
| spl2_211
| ~ spl2_387 ),
inference(sat_conversion,[],[f32224]) ).
cnf(s3575,plain,
( ~ spl2_178
| ~ spl2_217
| ~ spl2_467
| ~ spl2_478 ),
inference(sat_conversion,[],[f32225]) ).
cnf(s3577,plain,
( spl2_159
| ~ spl2_178
| ~ spl2_368
| spl2_369 ),
inference(sat_conversion,[],[f32227]) ).
cnf(s3581,plain,
( ~ spl2_127
| ~ spl2_219
| ~ spl2_220
| ~ spl2_321 ),
inference(sat_conversion,[],[f32231]) ).
cnf(s3585,plain,
( ~ spl2_4
| ~ spl2_6
| ~ spl2_95
| ~ spl2_127 ),
inference(sat_conversion,[],[f32235]) ).
cnf(s3588,plain,
( ~ spl2_107
| spl2_153
| ~ spl2_267 ),
inference(sat_conversion,[],[f32239]) ).
cnf(s3597,plain,
( spl2_26
| ~ spl2_31
| ~ spl2_421 ),
inference(sat_conversion,[],[f32300]) ).
cnf(s3627,plain,
( ~ spl2_22
| ~ spl2_345
| spl2_349
| spl2_492 ),
inference(sat_conversion,[],[f32695]) ).
cnf(s3649,plain,
( ~ spl2_176
| ~ spl2_271
| ~ spl2_354 ),
inference(sat_conversion,[],[f32985]) ).
cnf(s3651,plain,
( ~ spl2_149
| ~ spl2_176
| spl2_360
| spl2_362 ),
inference(sat_conversion,[],[f32987]) ).
cnf(s3652,plain,
( ~ spl2_102
| ~ spl2_195
| spl2_196
| ~ spl2_212 ),
inference(sat_conversion,[],[f32988]) ).
cnf(s3663,plain,
( ~ spl2_114
| ~ spl2_133
| ~ spl2_185
| ~ spl2_195 ),
inference(sat_conversion,[],[f33200]) ).
cnf(s3666,plain,
( ~ spl2_173
| ~ spl2_188
| ~ spl2_208 ),
inference(sat_conversion,[],[f33224]) ).
cnf(s3669,plain,
( ~ spl2_183
| ~ spl2_208
| ~ spl2_306
| spl2_407 ),
inference(sat_conversion,[],[f33275]) ).
cnf(s3696,plain,
( spl2_20
| ~ spl2_345
| ~ spl2_360 ),
inference(sat_conversion,[],[f33646]) ).
cnf(s3697,plain,
( spl2_112
| ~ spl2_202
| ~ spl2_321
| spl2_328 ),
inference(sat_conversion,[],[f33647]) ).
cnf(s3698,plain,
( spl2_97
| ~ spl2_219
| spl2_278
| ~ spl2_321 ),
inference(sat_conversion,[],[f33650]) ).
cnf(s3701,plain,
( ~ spl2_71
| ~ spl2_146
| spl2_147
| ~ spl2_306 ),
inference(sat_conversion,[],[f33655]) ).
cnf(s3706,plain,
( ~ spl2_4
| ~ spl2_179
| ~ spl2_239
| ~ spl2_465 ),
inference(sat_conversion,[],[f33662]) ).
cnf(s3734,plain,
( ~ spl2_4
| ~ spl2_358
| ~ spl2_369 ),
inference(sat_conversion,[],[f34087]) ).
cnf(s3749,plain,
( ~ spl2_18
| spl2_196
| ~ spl2_212
| ~ spl2_320 ),
inference(sat_conversion,[],[f34111]) ).
cnf(s3752,plain,
( ~ spl2_17
| ~ spl2_95
| ~ spl2_179
| ~ spl2_320 ),
inference(sat_conversion,[],[f34120]) ).
cnf(s3755,plain,
( ~ spl2_120
| ~ spl2_183
| spl2_268
| spl2_306 ),
inference(sat_conversion,[],[f34123]) ).
cnf(s3778,plain,
( ~ spl2_9
| ~ spl2_347
| ~ spl2_349 ),
inference(sat_conversion,[],[f34299]) ).
cnf(s3784,plain,
( spl2_103
| ~ spl2_350
| ~ spl2_382
| spl2_406 ),
inference(sat_conversion,[],[f34305]) ).
cnf(s3791,plain,
( ~ spl2_25
| spl2_118
| spl2_155
| ~ spl2_239
| spl2_286 ),
inference(sat_conversion,[],[f34312]) ).
cnf(s3792,plain,
( spl2_20
| spl2_95
| ~ spl2_112
| spl2_116 ),
inference(sat_conversion,[],[f34313]) ).
cnf(s3797,plain,
( ~ spl2_20
| ~ spl2_288 ),
inference(sat_conversion,[],[f34327]) ).
cnf(s3798,plain,
( spl2_77
| spl2_118
| spl2_155
| ~ spl2_239
| spl2_286 ),
inference(sat_conversion,[],[f34332]) ).
cnf(s3802,plain,
( ~ spl2_20
| ~ spl2_25
| ~ spl2_95
| spl2_109
| spl2_426 ),
inference(sat_conversion,[],[f34342]) ).
cnf(s3825,plain,
( ~ spl2_17
| ~ spl2_18
| ~ spl2_39 ),
inference(sat_conversion,[],[f34515]) ).
cnf(s3827,plain,
( ~ spl2_2
| ~ spl2_17
| ~ spl2_18
| spl2_118
| spl2_155
| spl2_157 ),
inference(sat_conversion,[],[f34540]) ).
cnf(s3847,plain,
( ~ spl2_107
| ~ spl2_208
| spl2_339
| spl2_340 ),
inference(sat_conversion,[],[f34844]) ).
cnf(s3858,plain,
( ~ spl2_194
| ~ spl2_196
| ~ spl2_232 ),
inference(sat_conversion,[],[f34955]) ).
cnf(s3865,plain,
( spl2_12
| spl2_13
| spl2_252 ),
inference(sat_conversion,[],[f34962]) ).
cnf(s3868,plain,
( ~ spl2_131
| ~ spl2_194
| ~ spl2_288 ),
inference(sat_conversion,[],[f34965]) ).
cnf(s3882,plain,
( ~ spl2_15
| spl2_25
| spl2_26
| spl2_27 ),
inference(sat_conversion,[],[f35000]) ).
cnf(s3891,plain,
( spl2_97
| spl2_107
| spl2_481 ),
inference(sat_conversion,[],[f35055]) ).
cnf(s3903,plain,
( ~ spl2_194
| ~ spl2_393 ),
inference(sat_conversion,[],[f35143]) ).
cnf(s3905,plain,
( ~ spl2_8
| spl2_13
| spl2_497 ),
inference(sat_conversion,[],[f35149]) ).
cnf(s3908,plain,
( spl2_7
| ~ spl2_497 ),
inference(sat_conversion,[],[f35165]) ).
cnf(s3930,plain,
( ~ spl2_32
| ~ spl2_159
| ~ spl2_192
| spl2_242 ),
inference(sat_conversion,[],[f35370]) ).
cnf(s3931,plain,
( spl2_118
| spl2_155
| ~ spl2_192
| ~ spl2_239
| ~ spl2_391 ),
inference(sat_conversion,[],[f35372]) ).
cnf(s3949,plain,
( spl2_13
| ~ spl2_194
| spl2_211
| ~ spl2_232
| spl2_278 ),
inference(sat_conversion,[],[f35522]) ).
cnf(s3955,plain,
( ~ spl2_32
| ~ spl2_362
| ~ spl2_373
| spl2_412 ),
inference(sat_conversion,[],[f35569]) ).
cnf(s3960,plain,
( spl2_139
| ~ spl2_182
| ~ spl2_194 ),
inference(sat_conversion,[],[f35636]) ).
cnf(s3995,plain,
( ~ spl2_30
| ~ spl2_353
| ~ spl2_453 ),
inference(sat_conversion,[],[f35914]) ).
cnf(s3997,plain,
( spl2_95
| spl2_116
| ~ spl2_183
| spl2_322 ),
inference(sat_conversion,[],[f35916]) ).
cnf(s4002,plain,
( spl2_1
| ~ spl2_102
| spl2_233 ),
inference(sat_conversion,[],[f35922]) ).
cnf(s4004,plain,
( ~ spl2_6
| spl2_97
| ~ spl2_123 ),
inference(sat_conversion,[],[f35924]) ).
cnf(s4007,plain,
( ~ spl2_4
| ~ spl2_102
| spl2_107
| spl2_419 ),
inference(sat_conversion,[],[f35927]) ).
cnf(s4014,plain,
( ~ spl2_12
| ~ spl2_103
| spl2_132
| spl2_133 ),
inference(sat_conversion,[],[f35971]) ).
cnf(s4016,plain,
( ~ spl2_15
| ~ spl2_97
| spl2_132
| spl2_133 ),
inference(sat_conversion,[],[f35982]) ).
cnf(s4023,plain,
( ~ spl2_12
| ~ spl2_347
| spl2_360
| spl2_362 ),
inference(sat_conversion,[],[f36057]) ).
cnf(s4026,plain,
( ~ spl2_132
| ~ spl2_173
| spl2_393 ),
inference(sat_conversion,[],[f36106]) ).
cnf(s4027,plain,
( spl2_15
| ~ spl2_114
| spl2_218 ),
inference(sat_conversion,[],[f36108]) ).
cnf(s4028,plain,
( ~ spl2_15
| spl2_182
| spl2_185
| ~ spl2_196 ),
inference(sat_conversion,[],[f36109]) ).
cnf(s4033,plain,
( spl2_180
| ~ spl2_194
| spl2_205
| ~ spl2_444 ),
inference(sat_conversion,[],[f36139]) ).
cnf(s4051,plain,
( ~ spl2_98
| ~ spl2_192
| ~ spl2_286 ),
inference(sat_conversion,[],[f36296]) ).
cnf(s4060,plain,
( ~ spl2_30
| ~ spl2_149
| ~ spl2_192
| spl2_242 ),
inference(sat_conversion,[],[f36308]) ).
cnf(s4062,plain,
( ~ spl2_12
| spl2_182
| spl2_185
| ~ spl2_205 ),
inference(sat_conversion,[],[f36315]) ).
cnf(s4063,plain,
( ~ spl2_42
| ~ spl2_102
| ~ spl2_114 ),
inference(sat_conversion,[],[f36335]) ).
cnf(s4076,plain,
( spl2_353
| ~ spl2_362
| spl2_412 ),
inference(sat_conversion,[],[f36483]) ).
cnf(s4086,plain,
( ~ spl2_206
| ~ spl2_366
| ~ spl2_382 ),
inference(sat_conversion,[],[f36600]) ).
cnf(s4087,plain,
( ~ spl2_123
| ~ spl2_350
| ~ spl2_382 ),
inference(sat_conversion,[],[f36602]) ).
cnf(s4092,plain,
( ~ spl2_30
| ~ spl2_149
| ~ spl2_224
| spl2_403 ),
inference(sat_conversion,[],[f36640]) ).
cnf(s4095,plain,
( ~ spl2_176
| ~ spl2_251
| ~ spl2_345 ),
inference(sat_conversion,[],[f36747]) ).
cnf(s4098,plain,
( spl2_147
| ~ spl2_153
| spl2_390 ),
inference(sat_conversion,[],[f36750]) ).
cnf(s4101,plain,
( spl2_147
| ~ spl2_224
| spl2_403 ),
inference(sat_conversion,[],[f36753]) ).
cnf(s4102,plain,
( spl2_132
| spl2_133
| ~ spl2_354
| ~ spl2_453 ),
inference(sat_conversion,[],[f36754]) ).
cnf(s4104,plain,
( spl2_132
| spl2_133
| ~ spl2_149
| ~ spl2_237 ),
inference(sat_conversion,[],[f36756]) ).
cnf(s4130,plain,
( ~ spl2_18
| spl2_42
| spl2_97
| ~ spl2_133 ),
inference(sat_conversion,[],[f37012]) ).
cnf(s4131,plain,
( ~ spl2_7
| spl2_15 ),
inference(sat_conversion,[],[f37014]) ).
cnf(s4134,plain,
( spl2_107
| ~ spl2_133
| spl2_389 ),
inference(sat_conversion,[],[f37017]) ).
cnf(s4135,plain,
( ~ spl2_7
| spl2_10
| spl2_500 ),
inference(sat_conversion,[],[f37018]) ).
cnf(s4142,plain,
( spl2_349
| ~ spl2_362
| spl2_415 ),
inference(sat_conversion,[],[f37025]) ).
cnf(s4143,plain,
( spl2_106
| ~ spl2_133
| spl2_235 ),
inference(sat_conversion,[],[f37026]) ).
cnf(s4159,plain,
( spl2_112
| ~ spl2_155
| ~ spl2_160 ),
inference(sat_conversion,[],[f37172]) ).
cnf(s4177,plain,
( ~ spl2_107
| ~ spl2_421
| ~ spl2_500 ),
inference(sat_conversion,[],[f37261]) ).
cnf(s4179,plain,
( spl2_134
| spl2_152
| ~ spl2_470 ),
inference(sat_conversion,[],[f37337]) ).
cnf(s4187,plain,
( ~ spl2_107
| ~ spl2_208
| ~ spl2_421 ),
inference(sat_conversion,[],[f37393]) ).
cnf(s4193,plain,
( ~ spl2_27
| ~ spl2_98
| spl2_123
| ~ spl2_155
| ~ spl2_192 ),
inference(sat_conversion,[],[f37402]) ).
cnf(s4196,plain,
( ~ spl2_39
| ~ spl2_219
| ~ spl2_273 ),
inference(sat_conversion,[],[f37432]) ).
cnf(s4208,plain,
( spl2_146
| spl2_159
| spl2_184 ),
inference(sat_conversion,[],[f37492]) ).
cnf(s4213,plain,
( spl2_149
| spl2_197
| spl2_306 ),
inference(sat_conversion,[],[f37533]) ).
cnf(s4215,plain,
( ~ spl2_149
| spl2_268
| spl2_297 ),
inference(sat_conversion,[],[f37542]) ).
cnf(s4226,plain,
( spl2_21
| ~ spl2_211
| spl2_304 ),
inference(sat_conversion,[],[f37637]) ).
cnf(s4235,plain,
( ~ spl2_30
| ~ spl2_174
| spl2_193
| ~ spl2_288 ),
inference(sat_conversion,[],[f37723]) ).
cnf(s4240,plain,
( ~ spl2_30
| ~ spl2_137
| ~ spl2_149
| spl2_160 ),
inference(sat_conversion,[],[f37755]) ).
cnf(s4242,plain,
( spl2_188
| ~ spl2_194
| ~ spl2_232
| spl2_296 ),
inference(sat_conversion,[],[f37785]) ).
cnf(s4245,plain,
( ~ spl2_6
| ~ spl2_27
| spl2_39
| ~ spl2_194
| ~ spl2_211
| ~ spl2_232 ),
inference(sat_conversion,[],[f37790]) ).
cnf(s4250,plain,
( ~ spl2_32
| ~ spl2_353
| ~ spl2_373 ),
inference(sat_conversion,[],[f37817]) ).
cnf(s4273,plain,
( ~ spl2_350
| ~ spl2_358
| ~ spl2_382
| ~ spl2_386 ),
inference(sat_conversion,[],[f38017]) ).
cnf(s4274,plain,
( spl2_15
| spl2_118
| spl2_155
| spl2_216 ),
inference(sat_conversion,[],[f38018]) ).
cnf(s4277,plain,
( spl2_187
| ~ spl2_230
| spl2_400 ),
inference(sat_conversion,[],[f38022]) ).
cnf(s4278,plain,
( spl2_188
| ~ spl2_230
| spl2_465 ),
inference(sat_conversion,[],[f38023]) ).
cnf(s4279,plain,
( spl2_118
| spl2_155
| spl2_211
| ~ spl2_230
| spl2_275 ),
inference(sat_conversion,[],[f38025]) ).
cnf(s4288,plain,
( spl2_13
| spl2_97
| spl2_112
| spl2_128 ),
inference(sat_conversion,[],[f38088]) ).
cnf(s4305,plain,
( spl2_107
| ~ spl2_321
| spl2_387 ),
inference(sat_conversion,[],[f38261]) ).
cnf(s4306,plain,
( spl2_132
| ~ spl2_354
| spl2_452 ),
inference(sat_conversion,[],[f38304]) ).
cnf(s4315,plain,
( spl2_353
| ~ spl2_377
| spl2_494 ),
inference(sat_conversion,[],[f38373]) ).
cnf(s4316,plain,
( ~ spl2_175
| spl2_352
| spl2_353 ),
inference(sat_conversion,[],[f38418]) ).
cnf(s4318,plain,
( spl2_118
| spl2_155
| ~ spl2_175
| spl2_345
| spl2_346 ),
inference(sat_conversion,[],[f38423]) ).
cnf(s4320,plain,
( ~ spl2_106
| ~ spl2_354
| ~ spl2_466 ),
inference(sat_conversion,[],[f38445]) ).
cnf(s4321,plain,
( ~ spl2_77
| ~ spl2_187
| ~ spl2_304 ),
inference(sat_conversion,[],[f38457]) ).
cnf(s4329,plain,
( spl2_182
| ~ spl2_229
| spl2_456 ),
inference(sat_conversion,[],[f38567]) ).
cnf(s4331,plain,
( ~ spl2_227
| ~ spl2_329
| ~ spl2_354 ),
inference(sat_conversion,[],[f38603]) ).
cnf(s4334,plain,
( ~ spl2_173
| ~ spl2_227
| ~ spl2_485 ),
inference(sat_conversion,[],[f38679]) ).
cnf(s4335,plain,
( ~ spl2_95
| ~ spl2_98
| ~ spl2_377
| ~ spl2_462 ),
inference(sat_conversion,[],[f38709]) ).
cnf(s4338,plain,
( ~ spl2_187
| ~ spl2_347
| ~ spl2_447 ),
inference(sat_conversion,[],[f38859]) ).
cnf(s4340,plain,
( ~ spl2_229
| spl2_358
| spl2_374
| spl2_393 ),
inference(sat_conversion,[],[f38863]) ).
cnf(s4342,plain,
( ~ spl2_187
| spl2_358
| ~ spl2_447 ),
inference(sat_conversion,[],[f38865]) ).
cnf(s4350,plain,
( ~ spl2_95
| ~ spl2_98
| ~ spl2_174
| ~ spl2_291 ),
inference(sat_conversion,[],[f38946]) ).
cnf(s4363,plain,
( spl2_13
| spl2_211
| spl2_278
| ~ spl2_349
| ~ spl2_456 ),
inference(sat_conversion,[],[f39080]) ).
cnf(s4365,plain,
( spl2_353
| ~ spl2_358
| spl2_462 ),
inference(sat_conversion,[],[f39082]) ).
cnf(s4366,plain,
( ~ spl2_6
| ~ spl2_18
| spl2_97
| ~ spl2_389 ),
inference(sat_conversion,[],[f39083]) ).
cnf(s4367,plain,
( ~ spl2_6
| spl2_39
| ~ spl2_95
| spl2_97 ),
inference(sat_conversion,[],[f39084]) ).
cnf(s4369,plain,
( spl2_13
| ~ spl2_366
| ~ spl2_368
| spl2_369 ),
inference(sat_conversion,[],[f39086]) ).
cnf(s4370,plain,
( spl2_13
| ~ spl2_202
| ~ spl2_219
| spl2_278 ),
inference(sat_conversion,[],[f39087]) ).
cnf(s4373,plain,
( ~ spl2_12
| ~ spl2_156
| spl2_268
| spl2_306 ),
inference(sat_conversion,[],[f39091]) ).
cnf(s4374,plain,
( ~ spl2_15
| ~ spl2_159
| spl2_268
| spl2_306 ),
inference(sat_conversion,[],[f39092]) ).
cnf(s4375,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_97
| ~ spl2_386 ),
inference(sat_conversion,[],[f39093]) ).
cnf(s4377,plain,
( ~ spl2_146
| ~ spl2_217
| ~ spl2_230
| ~ spl2_296 ),
inference(sat_conversion,[],[f39095]) ).
cnf(s4380,plain,
( ~ spl2_202
| ~ spl2_216
| ~ spl2_219
| ~ spl2_230 ),
inference(sat_conversion,[],[f39098]) ).
cnf(s4382,plain,
( spl2_196
| ~ spl2_217
| ~ spl2_230
| spl2_250 ),
inference(sat_conversion,[],[f39100]) ).
cnf(s4383,plain,
( spl2_13
| spl2_118
| spl2_155
| ~ spl2_217
| spl2_250 ),
inference(sat_conversion,[],[f39101]) ).
cnf(s4385,plain,
( spl2_12
| spl2_118
| spl2_155
| spl2_427 ),
inference(sat_conversion,[],[f39103]) ).
cnf(s4386,plain,
( spl2_205
| ~ spl2_230
| ~ spl2_239
| spl2_286 ),
inference(sat_conversion,[],[f39104]) ).
cnf(s4387,plain,
( spl2_4
| spl2_9
| ~ spl2_159
| spl2_322 ),
inference(sat_conversion,[],[f39105]) ).
cnf(s4398,plain,
( ~ spl2_4
| spl2_12
| ~ spl2_18
| spl2_419 ),
inference(sat_conversion,[],[f39168]) ).
cnf(s4402,plain,
( ~ spl2_30
| ~ spl2_147
| spl2_306 ),
inference(sat_conversion,[],[f39191]) ).
cnf(s4406,plain,
( spl2_26
| spl2_153
| spl2_154
| ~ spl2_157 ),
inference(sat_conversion,[],[f39209]) ).
cnf(s4410,plain,
( ~ spl2_30
| spl2_185
| ~ spl2_187 ),
inference(sat_conversion,[],[f39219]) ).
cnf(s4416,plain,
( ~ spl2_17
| spl2_50
| spl2_103
| ~ spl2_133 ),
inference(sat_conversion,[],[f39268]) ).
cnf(s4417,plain,
( ~ spl2_17
| spl2_50
| ~ spl2_95
| ~ spl2_133 ),
inference(sat_conversion,[],[f39269]) ).
cnf(s4444,plain,
( ~ spl2_154
| ~ spl2_159
| spl2_339
| spl2_340 ),
inference(sat_conversion,[],[f39503]) ).
cnf(s4451,plain,
( spl2_20
| ~ spl2_345
| spl2_358
| spl2_374 ),
inference(sat_conversion,[],[f39608]) ).
cnf(s4452,plain,
( spl2_139
| ~ spl2_354
| spl2_358
| spl2_374 ),
inference(sat_conversion,[],[f39676]) ).
cnf(s4465,plain,
( ~ spl2_106
| ~ spl2_194
| ~ spl2_326 ),
inference(sat_conversion,[],[f39809]) ).
cnf(s4467,plain,
( ~ spl2_174
| spl2_188
| spl2_189 ),
inference(sat_conversion,[],[f39811]) ).
cnf(s4468,plain,
( ~ spl2_185
| spl2_188
| spl2_319 ),
inference(sat_conversion,[],[f39812]) ).
cnf(s4474,plain,
( ~ spl2_20
| spl2_362 ),
inference(sat_conversion,[],[f39892]) ).
cnf(s4478,plain,
( ~ spl2_120
| spl2_360
| spl2_362
| ~ spl2_484 ),
inference(sat_conversion,[],[f39897]) ).
cnf(s4479,plain,
( ~ spl2_114
| ~ spl2_174
| spl2_211
| spl2_328 ),
inference(sat_conversion,[],[f39898]) ).
cnf(s4480,plain,
( ~ spl2_17
| spl2_50
| spl2_156
| ~ spl2_306 ),
inference(sat_conversion,[],[f39899]) ).
cnf(s4481,plain,
( ~ spl2_98
| spl2_123
| ~ spl2_174
| spl2_205 ),
inference(sat_conversion,[],[f39901]) ).
cnf(s4482,plain,
( ~ spl2_18
| spl2_42
| ~ spl2_185
| spl2_196 ),
inference(sat_conversion,[],[f39902]) ).
cnf(s4484,plain,
( ~ spl2_17
| spl2_50
| ~ spl2_185
| spl2_205 ),
inference(sat_conversion,[],[f39904]) ).
cnf(s4485,plain,
( spl2_211
| ~ spl2_230
| ~ spl2_240
| spl2_275 ),
inference(sat_conversion,[],[f39905]) ).
cnf(s4486,plain,
( ~ spl2_102
| spl2_128
| ~ spl2_174
| spl2_196 ),
inference(sat_conversion,[],[f39906]) ).
cnf(s4487,plain,
( spl2_1
| ~ spl2_219
| spl2_480 ),
inference(sat_conversion,[],[f39908]) ).
cnf(s4490,plain,
( spl2_139
| spl2_179
| ~ spl2_194
| spl2_198 ),
inference(sat_conversion,[],[f39911]) ).
cnf(s4492,plain,
( ~ spl2_174
| ~ spl2_202
| ~ spl2_218
| ~ spl2_219 ),
inference(sat_conversion,[],[f39913]) ).
cnf(s4493,plain,
( ~ spl2_4
| ~ spl2_25
| spl2_107
| ~ spl2_218 ),
inference(sat_conversion,[],[f39914]) ).
cnf(s4497,plain,
( spl2_15
| ~ spl2_25
| spl2_37 ),
inference(sat_conversion,[],[f39955]) ).
cnf(s4506,plain,
( ~ spl2_153
| spl2_157
| spl2_283 ),
inference(sat_conversion,[],[f40066]) ).
cnf(s4507,plain,
( ~ spl2_153
| spl2_237
| spl2_285 ),
inference(sat_conversion,[],[f40069]) ).
cnf(s4509,plain,
( ~ spl2_25
| ~ spl2_153
| spl2_155
| spl2_286 ),
inference(sat_conversion,[],[f40071]) ).
cnf(s4510,plain,
( ~ spl2_4
| spl2_39
| ~ spl2_153
| spl2_159 ),
inference(sat_conversion,[],[f40072]) ).
cnf(s4517,plain,
( ~ spl2_179
| spl2_188
| spl2_290 ),
inference(sat_conversion,[],[f40160]) ).
cnf(s4531,plain,
( ~ spl2_22
| ~ spl2_155
| spl2_157
| spl2_247 ),
inference(sat_conversion,[],[f40316]) ).
cnf(s4532,plain,
( ~ spl2_22
| ~ spl2_155
| spl2_237
| spl2_246 ),
inference(sat_conversion,[],[f40317]) ).
cnf(s4547,plain,
( ~ spl2_130
| ~ spl2_155
| ~ spl2_183 ),
inference(sat_conversion,[],[f40498]) ).
cnf(s4549,plain,
( ~ spl2_25
| ~ spl2_95
| spl2_112
| spl2_123 ),
inference(sat_conversion,[],[f40503]) ).
cnf(s4562,plain,
( ~ spl2_176
| spl2_360
| spl2_361 ),
inference(sat_conversion,[],[f40752]) ).
cnf(s4570,plain,
( ~ spl2_227
| spl2_360
| spl2_447 ),
inference(sat_conversion,[],[f40872]) ).
cnf(s4571,plain,
( ~ spl2_227
| ~ spl2_326
| ~ spl2_349 ),
inference(sat_conversion,[],[f40874]) ).
cnf(s4572,plain,
( ~ spl2_18
| spl2_42
| ~ spl2_362
| spl2_373 ),
inference(sat_conversion,[],[f40875]) ).
cnf(s4575,plain,
( spl2_15
| ~ spl2_202
| spl2_221 ),
inference(sat_conversion,[],[f40878]) ).
cnf(s4584,plain,
( spl2_10
| ~ spl2_157
| spl2_287 ),
inference(sat_conversion,[],[f41013]) ).
cnf(s4585,plain,
( ~ spl2_159
| spl2_268
| spl2_422 ),
inference(sat_conversion,[],[f41024]) ).
cnf(s4590,plain,
( ~ spl2_112
| ~ spl2_237
| ~ spl2_251 ),
inference(sat_conversion,[],[f41075]) ).
cnf(s4591,plain,
( spl2_13
| spl2_15
| spl2_75 ),
inference(sat_conversion,[],[f41076]) ).
cnf(s4592,plain,
( ~ spl2_102
| spl2_128
| spl2_159
| ~ spl2_192 ),
inference(sat_conversion,[],[f41077]) ).
cnf(s4593,plain,
( spl2_10
| ~ spl2_15
| spl2_24 ),
inference(sat_conversion,[],[f41134]) ).
cnf(s4596,plain,
( spl2_132
| ~ spl2_194
| spl2_329 ),
inference(sat_conversion,[],[f41181]) ).
cnf(s4597,plain,
( spl2_21
| ~ spl2_345
| spl2_397 ),
inference(sat_conversion,[],[f41188]) ).
cnf(s4602,plain,
( spl2_182
| ~ spl2_231
| spl2_343 ),
inference(sat_conversion,[],[f41305]) ).
cnf(s4608,plain,
( ~ spl2_177
| spl2_268
| spl2_468 ),
inference(sat_conversion,[],[f41401]) ).
cnf(s4618,plain,
( ~ spl2_155
| ~ spl2_177
| ~ spl2_397 ),
inference(sat_conversion,[],[f41643]) ).
cnf(s4619,plain,
( ~ spl2_114
| spl2_345
| spl2_370
| ~ spl2_377 ),
inference(sat_conversion,[],[f41646]) ).
cnf(s4620,plain,
( ~ spl2_202
| ~ spl2_226
| spl2_345
| spl2_490 ),
inference(sat_conversion,[],[f41647]) ).
cnf(s4621,plain,
( spl2_211
| ~ spl2_228
| ~ spl2_366
| spl2_490 ),
inference(sat_conversion,[],[f41648]) ).
cnf(s4629,plain,
( ~ spl2_4
| spl2_97
| spl2_159
| ~ spl2_285 ),
inference(sat_conversion,[],[f41916]) ).
cnf(s4630,plain,
( ~ spl2_75
| ~ spl2_202
| ~ spl2_219
| ~ spl2_220 ),
inference(sat_conversion,[],[f41917]) ).
cnf(s4632,plain,
( spl2_132
| spl2_133
| ~ spl2_194
| ~ spl2_288 ),
inference(sat_conversion,[],[f41919]) ).
cnf(s4635,plain,
( ~ spl2_4
| spl2_39
| ~ spl2_358
| spl2_373 ),
inference(sat_conversion,[],[f41923]) ).
cnf(s4636,plain,
( ~ spl2_112
| ~ spl2_181
| spl2_185 ),
inference(sat_conversion,[],[f41924]) ).
cnf(s4639,plain,
( spl2_31
| ~ spl2_353
| spl2_378 ),
inference(sat_conversion,[],[f41929]) ).
cnf(s4644,plain,
( ~ spl2_4
| spl2_39
| ~ spl2_153
| spl2_159 ),
inference(sat_conversion,[],[f41937]) ).
cnf(s4645,plain,
( ~ spl2_4
| spl2_39
| ~ spl2_179
| spl2_196 ),
inference(sat_conversion,[],[f41938]) ).
cnf(s4646,plain,
( spl2_13
| ~ spl2_202
| ~ spl2_219
| spl2_278 ),
inference(sat_conversion,[],[f41940]) ).
cnf(s4647,plain,
( ~ spl2_37
| ~ spl2_179
| ~ spl2_202
| ~ spl2_219 ),
inference(sat_conversion,[],[f41941]) ).
cnf(s4648,plain,
( spl2_109
| ~ spl2_181
| spl2_192
| ~ spl2_231 ),
inference(sat_conversion,[],[f41942]) ).
cnf(s4652,plain,
( spl2_107
| ~ spl2_382
| spl2_399 ),
inference(sat_conversion,[],[f41946]) ).
cnf(s4654,plain,
( ~ spl2_4
| ~ spl2_6
| spl2_159
| ~ spl2_390 ),
inference(sat_conversion,[],[f41948]) ).
cnf(s4655,plain,
( ~ spl2_25
| ~ spl2_95
| spl2_109
| spl2_120
| spl2_426 ),
inference(sat_conversion,[],[f41949]) ).
cnf(s4656,plain,
( spl2_112
| ~ spl2_366
| spl2_370
| ~ spl2_382 ),
inference(sat_conversion,[],[f41950]) ).
cnf(s4659,plain,
( ~ spl2_25
| ~ spl2_179
| spl2_211
| spl2_274 ),
inference(sat_conversion,[],[f41953]) ).
cnf(s4661,plain,
( spl2_26
| spl2_95
| ~ spl2_106
| spl2_116 ),
inference(sat_conversion,[],[f41955]) ).
cnf(s4662,plain,
( ~ spl2_98
| spl2_123
| spl2_347
| ~ spl2_377 ),
inference(sat_conversion,[],[f41956]) ).
cnf(s4663,plain,
( spl2_95
| spl2_116
| ~ spl2_173
| spl2_393 ),
inference(sat_conversion,[],[f41957]) ).
cnf(s4664,plain,
( ~ spl2_17
| ~ spl2_114
| ~ spl2_242
| ~ spl2_306 ),
inference(sat_conversion,[],[f41958]) ).
cnf(s4671,plain,
( spl2_31
| ~ spl2_107
| spl2_117 ),
inference(sat_conversion,[],[f42000]) ).
cnf(s4672,plain,
( spl2_29
| spl2_95
| ~ spl2_107
| spl2_116 ),
inference(sat_conversion,[],[f42002]) ).
cnf(s4677,plain,
( ~ spl2_103
| spl2_116
| spl2_132 ),
inference(sat_conversion,[],[f42035]) ).
cnf(s4692,plain,
( ~ spl2_6
| spl2_39
| ~ spl2_349
| ~ spl2_353
| ~ spl2_468 ),
inference(sat_conversion,[],[f42192]) ).
cnf(s4695,plain,
( spl2_349
| ~ spl2_358
| spl2_432 ),
inference(sat_conversion,[],[f42197]) ).
cnf(s4700,plain,
( ~ spl2_347
| spl2_360
| spl2_374 ),
inference(sat_conversion,[],[f42248]) ).
cnf(s4708,plain,
( spl2_109
| spl2_112
| ~ spl2_173
| ~ spl2_240
| spl2_241
| ~ spl2_343 ),
inference(sat_conversion,[],[f42373]) ).
cnf(s4709,plain,
( ~ spl2_225
| spl2_268
| spl2_305 ),
inference(sat_conversion,[],[f42410]) ).
cnf(s4718,plain,
( ~ spl2_147
| ~ spl2_177
| ~ spl2_378 ),
inference(sat_conversion,[],[f42493]) ).
cnf(s4723,plain,
( spl2_109
| ~ spl2_153
| ~ spl2_225
| ~ spl2_239
| ~ spl2_329
| ~ spl2_386 ),
inference(sat_conversion,[],[f42547]) ).
cnf(s4724,plain,
( ~ spl2_174
| spl2_187
| spl2_193 ),
inference(sat_conversion,[],[f42574]) ).
cnf(s4731,plain,
( ~ spl2_103
| ~ spl2_353
| ~ spl2_476 ),
inference(sat_conversion,[],[f42671]) ).
cnf(s4732,plain,
( ~ spl2_194
| ~ spl2_231
| ~ spl2_476 ),
inference(sat_conversion,[],[f42673]) ).
cnf(s4735,plain,
( ~ spl2_18
| ~ spl2_20
| ~ spl2_369 ),
inference(sat_conversion,[],[f42719]) ).
cnf(s4737,plain,
( ~ spl2_33
| spl2_97
| spl2_112
| spl2_128 ),
inference(sat_conversion,[],[f42720]) ).
cnf(s4738,plain,
( ~ spl2_20
| ~ spl2_45 ),
inference(sat_conversion,[],[f42723]) ).
cnf(s4741,plain,
( ~ spl2_102
| spl2_128
| spl2_373
| ~ spl2_377 ),
inference(sat_conversion,[],[f42726]) ).
cnf(s4742,plain,
( ~ spl2_35
| spl2_155
| spl2_222
| ~ spl2_306 ),
inference(sat_conversion,[],[f42727]) ).
cnf(s4743,plain,
( spl2_4
| spl2_9
| ~ spl2_13
| spl2_20 ),
inference(sat_conversion,[],[f42728]) ).
cnf(s4744,plain,
( spl2_106
| ~ spl2_382
| spl2_467 ),
inference(sat_conversion,[],[f42729]) ).
cnf(s4746,plain,
( spl2_103
| spl2_109
| ~ spl2_225
| ~ spl2_239
| spl2_286
| ~ spl2_329 ),
inference(sat_conversion,[],[f42734]) ).
cnf(s4747,plain,
( ~ spl2_77
| ~ spl2_116
| spl2_133 ),
inference(sat_conversion,[],[f42735]) ).
cnf(s4748,plain,
( ~ spl2_77
| spl2_362
| ~ spl2_374 ),
inference(sat_conversion,[],[f42736]) ).
cnf(s4750,plain,
( ~ spl2_13
| spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f42738]) ).
cnf(s4751,plain,
( ~ spl2_6
| spl2_39
| spl2_97
| spl2_103 ),
inference(sat_conversion,[],[f42739]) ).
cnf(s4752,plain,
( ~ spl2_155
| spl2_185
| ~ spl2_343 ),
inference(sat_conversion,[],[f42740]) ).
cnf(s4753,plain,
( spl2_109
| spl2_112
| ~ spl2_225
| ~ spl2_240
| spl2_241
| ~ spl2_329 ),
inference(sat_conversion,[],[f42741]) ).
cnf(s4754,plain,
( spl2_97
| spl2_106
| spl2_127 ),
inference(sat_conversion,[],[f42742]) ).
cnf(s4755,plain,
( spl2_174
| spl2_197
| ~ spl2_225
| ~ spl2_267 ),
inference(sat_conversion,[],[f42743]) ).
cnf(s4756,plain,
( ~ spl2_25
| ~ spl2_153
| spl2_155
| spl2_286 ),
inference(sat_conversion,[],[f42745]) ).
cnf(s4758,plain,
( spl2_97
| spl2_109
| ~ spl2_217
| ~ spl2_225
| spl2_250
| ~ spl2_329 ),
inference(sat_conversion,[],[f42747]) ).
cnf(s4759,plain,
( ~ spl2_225
| spl2_268
| ~ spl2_288
| spl2_306 ),
inference(sat_conversion,[],[f42748]) ).
cnf(s4761,plain,
( spl2_97
| ~ spl2_368
| spl2_369
| ~ spl2_382 ),
inference(sat_conversion,[],[f42750]) ).
cnf(s4762,plain,
( spl2_179
| spl2_198
| ~ spl2_225
| spl2_322 ),
inference(sat_conversion,[],[f42751]) ).
cnf(s4763,plain,
( ~ spl2_147
| spl2_179
| ~ spl2_343 ),
inference(sat_conversion,[],[f42753]) ).
cnf(s4764,plain,
( spl2_1
| ~ spl2_4
| spl2_23 ),
inference(sat_conversion,[],[f42771]) ).
cnf(s4766,plain,
( spl2_1
| spl2_339
| spl2_340 ),
inference(sat_conversion,[],[f42776]) ).
cnf(s4767,plain,
( ~ spl2_118
| spl2_131
| ~ spl2_343 ),
inference(sat_conversion,[],[f42848]) ).
cnf(s4770,plain,
( spl2_21
| spl2_35
| ~ spl2_118
| spl2_124 ),
inference(sat_conversion,[],[f42855]) ).
cnf(s4772,plain,
( spl2_9
| ~ spl2_116
| ~ spl2_118 ),
inference(sat_conversion,[],[f42857]) ).
cnf(s4773,plain,
( spl2_45
| ~ spl2_118
| spl2_312 ),
inference(sat_conversion,[],[f42858]) ).
cnf(s4774,plain,
( spl2_37
| ~ spl2_118
| ~ spl2_285 ),
inference(sat_conversion,[],[f42859]) ).
cnf(s4775,plain,
( ~ spl2_17
| spl2_45
| ~ spl2_118
| ~ spl2_144 ),
inference(sat_conversion,[],[f42860]) ).
cnf(s4776,plain,
( ~ spl2_79
| ~ spl2_118
| spl2_152 ),
inference(sat_conversion,[],[f42861]) ).
cnf(s4778,plain,
( spl2_35
| spl2_45
| ~ spl2_118 ),
inference(sat_conversion,[],[f42863]) ).
cnf(s4779,plain,
( ~ spl2_118
| spl2_147
| ~ spl2_353 ),
inference(sat_conversion,[],[f42864]) ).
cnf(s4780,plain,
( spl2_112
| ~ spl2_118
| ~ spl2_225 ),
inference(sat_conversion,[],[f42865]) ).
cnf(s4781,plain,
( ~ spl2_6
| spl2_79
| ~ spl2_118
| ~ spl2_265 ),
inference(sat_conversion,[],[f42868]) ).
cnf(s4782,plain,
( ~ spl2_118
| ~ spl2_239
| spl2_350 ),
inference(sat_conversion,[],[f42869]) ).
cnf(s4783,plain,
( spl2_10
| spl2_18
| spl2_24
| ~ spl2_118 ),
inference(sat_conversion,[],[f42870]) ).
cnf(s4784,plain,
( spl2_8
| spl2_79
| ~ spl2_118 ),
inference(sat_conversion,[],[f42871]) ).
cnf(s4786,plain,
( spl2_118
| spl2_175
| spl2_176 ),
inference(sat_conversion,[],[f42884]) ).
cnf(s4787,plain,
( spl2_118
| spl2_173
| spl2_174 ),
inference(sat_conversion,[],[f42886]) ).
cnf(s4788,plain,
( spl2_118
| spl2_177
| spl2_178 ),
inference(sat_conversion,[],[f42888]) ).
cnf(s4793,plain,
( spl2_21
| spl2_27
| ~ spl2_77 ),
inference(sat_conversion,[],[f42900]) ).
cnf(s4794,plain,
( ~ spl2_95
| spl2_107
| spl2_386 ),
inference(sat_conversion,[],[f42924]) ).
cnf(s4796,plain,
( ~ spl2_95
| spl2_106
| spl2_119 ),
inference(sat_conversion,[],[f42927]) ).
cnf(s4797,plain,
( ~ spl2_4
| spl2_39
| ~ spl2_95
| spl2_97 ),
inference(sat_conversion,[],[f42928]) ).
cnf(s4805,plain,
( ~ spl2_97
| spl2_132
| spl2_232 ),
inference(sat_conversion,[],[f42970]) ).
cnf(s4807,plain,
( spl2_10
| ~ spl2_106
| spl2_208 ),
inference(sat_conversion,[],[f42981]) ).
cnf(s4808,plain,
( spl2_154
| ~ spl2_156
| spl2_268 ),
inference(sat_conversion,[],[f42990]) ).
cnf(s4811,plain,
( spl2_31
| ~ spl2_147
| spl2_245 ),
inference(sat_conversion,[],[f43007]) ).
cnf(s4812,plain,
( spl2_29
| ~ spl2_147
| spl2_153
| spl2_154 ),
inference(sat_conversion,[],[f43008]) ).
cnf(s4813,plain,
( spl2_21
| ~ spl2_112
| spl2_130 ),
inference(sat_conversion,[],[f43013]) ).
cnf(s4814,plain,
( spl2_31
| ~ spl2_187
| spl2_199 ),
inference(sat_conversion,[],[f43024]) ).
cnf(s4815,plain,
( spl2_29
| spl2_179
| ~ spl2_187
| spl2_198 ),
inference(sat_conversion,[],[f43025]) ).
cnf(s4819,plain,
( spl2_182
| spl2_198
| ~ spl2_205 ),
inference(sat_conversion,[],[f43039]) ).
cnf(s4826,plain,
( spl2_20
| spl2_153
| spl2_154
| ~ spl2_155 ),
inference(sat_conversion,[],[f43086]) ).
cnf(s4827,plain,
( spl2_10
| ~ spl2_188
| spl2_326 ),
inference(sat_conversion,[],[f43092]) ).
cnf(s4829,plain,
( spl2_182
| ~ spl2_196
| spl2_428 ),
inference(sat_conversion,[],[f43100]) ).
cnf(s4830,plain,
( spl2_157
| ~ spl2_306
| spl2_407 ),
inference(sat_conversion,[],[f43142]) ).
cnf(s4832,plain,
( spl2_237
| ~ spl2_306
| spl2_396 ),
inference(sat_conversion,[],[f43144]) ).
cnf(s4833,plain,
( ~ spl2_18
| spl2_42
| spl2_159
| ~ spl2_306 ),
inference(sat_conversion,[],[f43145]) ).
cnf(s4836,plain,
( ~ spl2_183
| spl2_267
| spl2_268 ),
inference(sat_conversion,[],[f43167]) ).
cnf(s4838,plain,
( ~ spl2_185
| spl2_194
| spl2_320 ),
inference(sat_conversion,[],[f43195]) ).
cnf(s4846,plain,
( spl2_10
| ~ spl2_349
| spl2_466 ),
inference(sat_conversion,[],[f43236]) ).
cnf(s4847,plain,
( spl2_132
| ~ spl2_237
| spl2_271 ),
inference(sat_conversion,[],[f43245]) ).
cnf(s4848,plain,
( ~ spl2_116
| ~ spl2_156
| ~ spl2_237 ),
inference(sat_conversion,[],[f43247]) ).
cnf(s4849,plain,
( spl2_139
| spl2_153
| spl2_154
| ~ spl2_237 ),
inference(sat_conversion,[],[f43249]) ).
cnf(s4850,plain,
( spl2_20
| spl2_179
| spl2_198
| ~ spl2_211 ),
inference(sat_conversion,[],[f43255]) ).
cnf(s4854,plain,
( spl2_360
| ~ spl2_373
| spl2_437 ),
inference(sat_conversion,[],[f43300]) ).
cnf(s4864,plain,
( ~ spl2_174
| spl2_194
| spl2_195 ),
inference(sat_conversion,[],[f43458]) ).
cnf(s4875,plain,
( spl2_377
| spl2_470
| spl2_484 ),
inference(sat_conversion,[],[f43612]) ).
cnf(s4877,plain,
( ~ spl2_208
| ~ spl2_349
| ~ spl2_484 ),
inference(sat_conversion,[],[f43625]) ).
cnf(s4878,plain,
( spl2_360
| ~ spl2_484
| spl2_485 ),
inference(sat_conversion,[],[f43626]) ).
cnf(s4879,plain,
( ~ spl2_25
| ~ spl2_133
| ~ spl2_285
| ~ spl2_306 ),
inference(sat_conversion,[],[f43627]) ).
cnf(s4881,plain,
( ~ spl2_13
| spl2_133
| ~ spl2_232 ),
inference(sat_conversion,[],[f43629]) ).
cnf(s4882,plain,
( spl2_4
| spl2_9
| ~ spl2_97
| spl2_139 ),
inference(sat_conversion,[],[f43630]) ).
cnf(s4883,plain,
( spl2_103
| ~ spl2_273
| spl2_274
| ~ spl2_321 ),
inference(sat_conversion,[],[f43631]) ).
cnf(s4884,plain,
( spl2_21
| ~ spl2_155
| spl2_251 ),
inference(sat_conversion,[],[f43633]) ).
cnf(s4885,plain,
( spl2_147
| ~ spl2_306
| spl2_404 ),
inference(sat_conversion,[],[f43634]) ).
cnf(s4888,plain,
( spl2_29
| ~ spl2_353
| spl2_358
| spl2_374 ),
inference(sat_conversion,[],[f43637]) ).
cnf(s4889,plain,
( ~ spl2_17
| ~ spl2_18
| spl2_50
| spl2_421 ),
inference(sat_conversion,[],[f43638]) ).
cnf(s4890,plain,
( ~ spl2_17
| spl2_50
| spl2_347
| ~ spl2_362 ),
inference(sat_conversion,[],[f43639]) ).
cnf(s4891,plain,
( spl2_106
| ~ spl2_321
| spl2_408 ),
inference(sat_conversion,[],[f43640]) ).
cnf(s4893,plain,
( ~ spl2_4
| spl2_12
| ~ spl2_18
| spl2_419 ),
inference(sat_conversion,[],[f43643]) ).
cnf(s4894,plain,
( spl2_1
| ~ spl2_18
| spl2_395 ),
inference(sat_conversion,[],[f43644]) ).
cnf(s4895,plain,
( spl2_4
| spl2_9
| ~ spl2_196
| spl2_393 ),
inference(sat_conversion,[],[f43645]) ).
cnf(s4896,plain,
( spl2_26
| spl2_179
| ~ spl2_188
| spl2_198 ),
inference(sat_conversion,[],[f43646]) ).
cnf(s4898,plain,
( ~ spl2_4
| ~ spl2_95
| spl2_106
| spl2_118
| spl2_425 ),
inference(sat_conversion,[],[f43648]) ).
cnf(s4899,plain,
( ~ spl2_1
| spl2_31
| spl2_32 ),
inference(sat_conversion,[],[f43653]) ).
cnf(s4900,plain,
( ~ spl2_1
| spl2_4
| spl2_9
| spl2_29 ),
inference(sat_conversion,[],[f43654]) ).
cnf(s4901,plain,
( spl2_9
| spl2_10
| ~ spl2_421 ),
inference(sat_conversion,[],[f43657]) ).
cnf(s4902,plain,
( ~ spl2_12
| spl2_30
| spl2_31 ),
inference(sat_conversion,[],[f43668]) ).
cnf(s4903,plain,
( ~ spl2_12
| spl2_25
| spl2_27
| spl2_29 ),
inference(sat_conversion,[],[f43669]) ).
cnf(s4904,plain,
( ~ spl2_25
| spl2_64
| spl2_65 ),
inference(sat_conversion,[],[f43697]) ).
cnf(s4912,plain,
( ~ spl2_120
| spl2_131
| spl2_132 ),
inference(sat_conversion,[],[f43795]) ).
cnf(s4914,plain,
( ~ spl2_179
| spl2_187
| spl2_291 ),
inference(sat_conversion,[],[f43822]) ).
cnf(s4915,plain,
( ~ spl2_179
| spl2_194
| spl2_292 ),
inference(sat_conversion,[],[f43824]) ).
cnf(s4916,plain,
( ~ spl2_25
| ~ spl2_179
| spl2_211
| spl2_274 ),
inference(sat_conversion,[],[f43825]) ).
cnf(s4919,plain,
( spl2_354
| ~ spl2_358
| spl2_431 ),
inference(sat_conversion,[],[f43871]) ).
cnf(s4921,plain,
( ~ spl2_25
| spl2_345
| ~ spl2_358
| spl2_406 ),
inference(sat_conversion,[],[f43874]) ).
cnf(s4923,plain,
( spl2_157
| ~ spl2_192
| spl2_238 ),
inference(sat_conversion,[],[f43914]) ).
cnf(s4924,plain,
( ~ spl2_192
| spl2_236
| spl2_237 ),
inference(sat_conversion,[],[f43915]) ).
cnf(s4928,plain,
( spl2_147
| ~ spl2_192
| spl2_242 ),
inference(sat_conversion,[],[f43920]) ).
cnf(s4932,plain,
( spl2_77
| ~ spl2_202
| ~ spl2_273
| spl2_274 ),
inference(sat_conversion,[],[f43955]) ).
cnf(s4934,plain,
( spl2_182
| ~ spl2_288
| spl2_300 ),
inference(sat_conversion,[],[f43964]) ).
cnf(s4936,plain,
( ~ spl2_173
| spl2_181
| spl2_182 ),
inference(sat_conversion,[],[f43989]) ).
cnf(s4937,plain,
( ~ spl2_120
| ~ spl2_173
| spl2_182
| spl2_185 ),
inference(sat_conversion,[],[f43992]) ).
cnf(s4940,plain,
( spl2_26
| ~ spl2_182
| ~ spl2_188 ),
inference(sat_conversion,[],[f44065]) ).
cnf(s4941,plain,
( ~ spl2_139
| ~ spl2_218
| spl2_123
| spl2_26
| spl2_118
| spl2_109
| spl2_197
| ~ spl2_27 ),
inference(rat,[],[s4940,s4819,s539,s931,s4492,s1236,s679,s4485,s447,s772,s1756,s4193,s1706,s4481,s112,s1238,s4787,s173,s1120,s3469]) ).
cnf(s4943,plain,
( spl2_159
| ~ spl2_102
| ~ spl2_192
| spl2_42
| ~ spl2_18
| ~ spl2_30
| ~ spl2_6 ),
inference(rat,[],[s4928,s4402,s2491,s4833]) ).
cnf(s4944,plain,
( ~ spl2_139
| spl2_118
| spl2_109
| spl2_42
| spl2_15
| ~ spl2_30
| ~ spl2_10
| ~ spl2_6 ),
inference(rat,[],[s1768,s955,s687,s1150,s748,s4943,s4027,s312,s152,s1238,s174,s943,s1120,s15]) ).
cnf(s4945,plain,
( ~ spl2_192
| spl2_241
| ~ spl2_98
| ~ spl2_114
| spl2_123
| ~ spl2_27 ),
inference(rat,[],[s3247,s4193]) ).
cnf(s4947,plain,
( ~ spl2_139
| ~ spl2_42 ),
inference(rat,[],[s4063,s312,s152,s174,s943]) ).
cnf(s4949,plain,
( ~ spl2_322
| spl2_250
| spl2_118
| spl2_13 ),
inference(rat,[],[s4383,s955,s687,s1150]) ).
cnf(s4950,plain,
( ~ spl2_182
| ~ spl2_233
| ~ spl2_174
| spl2_26
| spl2_29 ),
inference(rat,[],[s3012,s681,s539,s585,s4940]) ).
cnf(s4951,plain,
( ~ spl2_188
| spl2_155
| spl2_268
| spl2_250
| spl2_275
| ~ spl2_102
| ~ spl2_174
| spl2_109
| spl2_31
| ~ spl2_12
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s1732,s679,s4814,s3476,s4724,s1235,s2496,s4709,s4895,s2170,s1318,s4743,s1421]) ).
cnf(s4952,plain,
( ~ spl2_139
| spl2_312
| ~ spl2_77
| ~ spl2_12
| spl2_9
| spl2_4
| spl2_1 ),
inference(rat,[],[s4814,s920,s681,s1235,s3012,s3478,s539,s4951,s4884,s893,s970,s4928,s2491,s4387,s4949,s765,s2469,s4002,s1706,s152,s1238,s4787,s943,s1120,s3469,s453,s4743,s1418,s1421,s4773,s1202,s1352,s1123,s933,s52]) ).
cnf(s4954,plain,
( ~ spl2_174
| spl2_328
| ~ spl2_98
| ~ spl2_114
| spl2_123
| ~ spl2_27 ),
inference(rat,[],[s772,s4479,s4481]) ).
cnf(s4955,plain,
( ~ spl2_322
| ~ spl2_98
| ~ spl2_111
| ~ spl2_114
| ~ spl2_132
| spl2_123
| spl2_109
| spl2_118
| ~ spl2_27
| spl2_28 ),
inference(rat,[],[s1235,s1139,s1897,s3903,s4026,s4787,s4954,s3208,s953,s3155,s1236,s687,s688,s1157]) ).
cnf(s4956,plain,
( spl2_42
| spl2_28
| ~ spl2_12
| spl2_9
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s4945,s1238,s1227,s861,s4387,s4955,s112,s107,s312,s1377,s4014,s1574,s1239,s1315,s4751,s4004,s3567,s886,s4882,s4952,s1202,s4773,s1667,s4793,s1352,s1123,s933,s52,s4902,s1418,s3490,s4743,s453,s1421]) ).
cnf(s4960,plain,
( ~ spl2_176
| ~ spl2_271
| ~ spl2_251
| spl2_180
| spl2_372
| ~ spl2_111
| ~ spl2_212
| ~ spl2_42
| ~ spl2_10 ),
inference(rat,[],[s841,s1604,s822,s1716,s805,s1542,s788,s3649]) ).
cnf(s4961,plain,
( ~ spl2_347
| ~ spl2_116
| spl2_186
| spl2_372
| ~ spl2_128
| spl2_112
| ~ spl2_212
| ~ spl2_27
| ~ spl2_10 ),
inference(rat,[],[s1604,s841,s1716,s822,s4656,s850,s977,s843,s981]) ).
cnf(s4962,plain,
( ~ spl2_231
| ~ spl2_174
| spl2_376
| spl2_347
| ~ spl2_133
| ~ spl2_251
| ~ spl2_155
| spl2_109
| ~ spl2_128
| ~ spl2_114
| spl2_139
| ~ spl2_30
| ~ spl2_10
| ~ spl2_6 ),
inference(rat,[],[s1353,s1318,s3439,s539,s1762,s721,s1240,s2505,s2672,s3960,s4602,s681,s4752,s4410,s3209,s4479,s766]) ).
cnf(s4963,plain,
( ~ spl2_174
| spl2_376
| ~ spl2_478
| spl2_347
| ~ spl2_239
| ~ spl2_133
| ~ spl2_251
| ~ spl2_155
| spl2_286
| spl2_109
| ~ spl2_128
| ~ spl2_114
| spl2_139
| ~ spl2_30
| ~ spl2_27
| ~ spl2_10
| ~ spl2_6 ),
inference(rat,[],[s4479,s772,s3208,s4386,s1236,s4962]) ).
cnf(s4964,plain,
( ~ spl2_393
| ~ spl2_128 ),
inference(rat,[],[s721,s539,s2505,s1318,s3903]) ).
cnf(s4965,plain,
( spl2_159
| spl2_347
| spl2_197
| spl2_180
| spl2_372
| spl2_470
| ~ spl2_133
| ~ spl2_117
| spl2_132
| ~ spl2_192
| spl2_118
| spl2_109
| ~ spl2_128
| ~ spl2_111
| ~ spl2_114
| ~ spl2_42
| ~ spl2_30
| spl2_28
| ~ spl2_77
| spl2_21
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4334,s1240,s4878,s1762,s2966,s4875,s681,s1542,s4619,s691,s4787,s1716,s4963,s829,s841,s3155,s822,s4847,s805,s4960,s788,s4095,s4786,s1757,s449,s893,s4884,s3247,s1227,s730,s34,s4793,s886,s4882,s4947,s3439,s4895,s4964]) ).
cnf(s4966,plain,
( ~ spl2_322
| spl2_118
| ~ spl2_42 ),
inference(rat,[],[s954,s955,s687,s1150]) ).
cnf(s4967,plain,
( ~ spl2_192
| spl2_118
| spl2_95
| ~ spl2_103
| ~ spl2_42
| spl2_28
| ~ spl2_77
| ~ spl2_12
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4965,s4961,s254,s567,s815,s1360,s4179,s641,s4014,s4672,s4671,s862,s112,s4945,s34,s4902,s1418,s4004,s312,s4737,s41,s1388,s1392,s1059,s107,s1574,s4793,s933,s52,s1129,s4743,s1421,s1227,s4387,s4966,s886,s4882,s4947]) ).
cnf(s4968,plain,
( ~ spl2_155
| ~ spl2_176
| ~ spl2_117
| spl2_347
| spl2_180
| spl2_372
| ~ spl2_133
| spl2_197
| spl2_132
| ~ spl2_183
| spl2_286
| spl2_274
| spl2_109
| ~ spl2_128
| ~ spl2_111
| ~ spl2_114
| ~ spl2_212
| ~ spl2_42
| ~ spl2_30
| ~ spl2_27
| spl2_28
| spl2_21
| spl2_20
| ~ spl2_10
| ~ spl2_6 ),
inference(rat,[],[s3477,s1235,s681,s4755,s691,s4963,s841,s3155,s822,s4847,s805,s4836,s4960,s788,s658,s898,s4884,s4947,s449,s1438]) ).
cnf(s4969,plain,
( ~ spl2_211
| ~ spl2_350
| ~ spl2_397
| spl2_406
| spl2_109
| ~ spl2_27 ),
inference(rat,[],[s1237,s2555,s2150,s772]) ).
cnf(s4970,plain,
( ~ spl2_117
| spl2_347
| spl2_180
| spl2_372
| spl2_470
| ~ spl2_133
| ~ spl2_183
| spl2_118
| spl2_112
| ~ spl2_42
| ~ spl2_27
| spl2_31
| spl2_28
| ~ spl2_12
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s2820,s1511,s1236,s679,s4485,s4969,s831,s4639,s4597,s1730,s977,s4656,s1716,s2353,s829,s841,s822,s850,s2500,s1696,s3649,s955,s4847,s954,s953,s447,s4968,s4786,s1757,s449,s1438,s34,s933,s52,s4902,s312,s1059,s107,s1129,s3439,s730,s1227,s886,s1705,s1592,s4387,s4895,s4964,s4737,s41,s4743,s1421,s4882,s4947,s861,s4966,s614]) ).
cnf(s4971,plain,
( ~ spl2_155
| spl2_377
| spl2_347
| spl2_180
| spl2_372
| spl2_186
| spl2_470
| ~ spl2_183
| spl2_118
| ~ spl2_103
| ~ spl2_42
| ~ spl2_77
| spl2_21
| spl2_20
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s3313,s831,s4306,s3353,s2500,s2353,s2185,s829,s4507,s841,s4847,s3348,s4960,s3224,s4786,s4788,s1757,s2129,s449,s4836,s893,s897,s658,s898,s4884,s34,s886,s4882,s4947,s107,s1574,s4793,s1592,s730,s4387,s861,s4966,s1769]) ).
cnf(s4972,plain,
( spl2_118
| spl2_95
| ~ spl2_103
| ~ spl2_42
| spl2_28
| ~ spl2_77
| ~ spl2_12
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4814,s1732,s681,s679,s3477,s3476,s1235,s4755,s4954,s1696,s4836,s955,s4848,s4847,s657,s954,s953,s4971,s4662,s112,s4671,s4970,s4961,s567,s815,s1360,s4179,s642,s4014,s3997,s614,s861,s1238,s4967,s1705,s1227,s1592,s4387,s4966,s34,s1418,s886,s4004,s312,s1388,s1392,s1059,s107,s1129,s3439,s4895,s4964,s4737,s1574,s4793,s933,s52,s41,s4743,s1421,s4882,s4947]) ).
cnf(s4973,plain,
( ~ spl2_12
| spl2_9
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s4602,s1236,s586,s3050,s679,s1241,s1669,s4770,s4767,s4773,s4972,s1145,s4895,s4964,s1059,s4737,s107,s456,s1574,s4367,s4751,s886,s1129,s4882,s4947,s4956,s1352,s4793,s1123,s396,s3490,s41,s4743,s933,s1421,s453,s52]) ).
cnf(s4974,plain,
( ~ spl2_155
| spl2_347
| spl2_21
| spl2_286
| ~ spl2_42
| spl2_180
| spl2_372
| spl2_470
| spl2_132
| spl2_139
| ~ spl2_111
| spl2_118
| ~ spl2_212
| ~ spl2_77
| spl2_50
| ~ spl2_17
| ~ spl2_10 ),
inference(rat,[],[s2185,s2500,s4788,s4507,s2966,s1024,s4847,s3651,s4960,s4786,s1757,s947,s449,s4480,s893,s897,s898,s4884,s4966,s4793,s1769,s4890]) ).
cnf(s4975,plain,
( spl2_155
| spl2_241
| ~ spl2_146
| ~ spl2_117
| spl2_109
| ~ spl2_114
| spl2_118
| ~ spl2_252 ),
inference(rat,[],[s1438,s449,s1238,s1755,s3247]) ).
cnf(s4976,plain,
( spl2_21
| ~ spl2_155
| spl2_286
| ~ spl2_42
| spl2_180
| spl2_372
| spl2_186
| spl2_470
| ~ spl2_116
| spl2_132
| spl2_139
| ~ spl2_128
| spl2_112
| spl2_118
| ~ spl2_212
| ~ spl2_77
| spl2_50
| ~ spl2_17
| ~ spl2_10 ),
inference(rat,[],[s4961,s4974,s4793,s107]) ).
cnf(s4977,plain,
( spl2_112
| spl2_118
| spl2_95
| ~ spl2_103
| spl2_97
| ~ spl2_77
| ~ spl2_252
| spl2_13
| ~ spl2_17
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s718,s4864,s691,s2536,s3663,s676,s645,s3336,s4976,s4975,s1227,s730,s1592,s4387,s4966,s3567,s254,s567,s815,s1360,s4179,s1315,s4671,s642,s4747,s1294,s1331,s4672,s862,s173,s4895,s112,s4964,s1059,s3431,s1388,s4737,s107,s312,s52,s34,s41,s937,s76,s471,s1392,s1129,s886]) ).
cnf(s4978,plain,
( spl2_393
| ~ spl2_114
| spl2_197
| ~ spl2_117
| ~ spl2_116
| ~ spl2_133
| ~ spl2_21
| ~ spl2_264
| ~ spl2_71
| spl2_9
| spl2_4 ),
inference(rat,[],[s718,s4864,s691,s2536,s3663,s676,s645,s1331,s3336,s4895]) ).
cnf(s4979,plain,
( ~ spl2_393
| ~ spl2_33
| spl2_12
| ~ spl2_6 ),
inference(rat,[],[s3449,s2351,s679,s1318,s1446]) ).
cnf(s4980,plain,
( spl2_118
| spl2_95
| ~ spl2_103
| spl2_97
| spl2_25
| ~ spl2_77
| spl2_13
| spl2_12
| spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s1235,s3333,s969,s674,s691,s2536,s676,s645,s3336,s4924,s4808,s1238,s970,s666,s665,s3701,s1731,s4213,s1592,s254,s741,s4387,s642,s1383,s4966,s4671,s4672,s347,s1717,s3567,s874,s3291,s1315,s1687,s743,s4793,s1294,s1574,s174,s4977,s52,s3865,s937,s76,s471,s17,s1331,s4895,s4979,s41,s886]) ).
cnf(s4981,plain,
( spl2_97
| spl2_13
| spl2_12
| spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s312,s3431,s2423,s112,s4738,s4677,s4672,s148,s4772,s4980,s4367,s4751,s886,s52,s3865,s3490,s3489,s76,s17]) ).
cnf(s4982,plain,
( spl2_13
| spl2_12
| spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3446,s1699,s312,s152,s174,s943,s1112,s4981,s34]) ).
cnf(s4984,plain,
( ~ spl2_192
| spl2_21
| spl2_241
| ~ spl2_77
| spl2_242
| ~ spl2_114 ),
inference(rat,[],[s893,s4884,s4928,s3247]) ).
cnf(s4986,plain,
( ~ spl2_329
| spl2_347
| ~ spl2_396
| spl2_268
| spl2_156
| spl2_470
| ~ spl2_103
| spl2_118
| spl2_109
| spl2_274
| ~ spl2_362 ),
inference(rat,[],[s2514,s4788,s2500,s2155,s4331,s4709,s1240,s1235,s1762,s3477,s681,s2764]) ).
cnf(s4987,plain,
( spl2_194
| spl2_328
| ~ spl2_212
| ~ spl2_111
| ~ spl2_18
| ~ spl2_185
| ~ spl2_10 ),
inference(rat,[],[s1446,s1353,s679,s3749,s1511,s4838]) ).
cnf(s4990,plain,
( ~ spl2_192
| ~ spl2_382
| ~ spl2_377
| ~ spl2_378
| ~ spl2_107
| spl2_118
| spl2_242
| spl2_31 ),
inference(rat,[],[s3334,s4924,s4788,s548,s4718,s4811,s4928]) ).
cnf(s4991,plain,
( ~ spl2_133
| spl2_470
| spl2_97
| spl2_132
| spl2_186
| spl2_180
| spl2_372
| spl2_118
| spl2_109
| spl2_242
| ~ spl2_111
| spl2_369
| spl2_286
| ~ spl2_18
| ~ spl2_306
| ~ spl2_185
| ~ spl2_362
| spl2_26
| spl2_9
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s2514,s4832,s4788,s4847,s4608,s2820,s971,s1236,s955,s4386,s1078,s449,s1438,s1238,s4990,s4692,s822,s4761,s2500,s4306,s833,s4639,s3313,s4076,s2696,s829,s1605,s4766,s1657,s4033,s718,s4987,s4671,s3209,s4134,s34,s23,s4894,s886,s4366,s4677,s4751,s453]) ).
cnf(s4992,plain,
( ~ spl2_192
| spl2_21
| ~ spl2_212
| ~ spl2_114
| ~ spl2_13
| spl2_9
| spl2_4 ),
inference(rat,[],[s3247,s1227,s4884,s4387,s3338,s1150,s4923,s2207,s947,s1422,s15,s1420,s1885,s34]) ).
cnf(s4993,plain,
( spl2_112
| ~ spl2_13
| ~ spl2_11
| ~ spl2_17
| spl2_9
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s955,s1078,s4406,s449,s521,s1438,s493,s1238,s4992,s4671,s112,s49,s2851,s745,s308,s4747,s319,s4991,s4179,s642,s4677,s1388,s4751,s4004,s886,s1392,s4882,s860,s943,s152,s283,s572,s814,s4778,s1062,s4002,s4664,s26,s3042,s107,s312,s638,s453,s23,s2557,s4738,s4474,s645,s3797,s663,s947,s1422,s4894,s4735,s15,s1420,s1885,s34]) ).
cnf(s4996,plain,
( ~ spl2_353
| spl2_470
| spl2_186
| ~ spl2_192
| ~ spl2_107
| spl2_118
| spl2_132
| spl2_242
| ~ spl2_103
| spl2_31 ),
inference(rat,[],[s2500,s4990,s4306,s833,s4639,s3313,s4671]) ).
cnf(s4997,plain,
( spl2_353
| ~ spl2_50
| ~ spl2_18
| ~ spl2_362
| ~ spl2_10
| ~ spl2_6 ),
inference(rat,[],[s1604,s974,s2696,s2396,s4076,s831]) ).
cnf(s4999,plain,
( spl2_194
| spl2_97
| ~ spl2_18
| ~ spl2_185
| ~ spl2_10 ),
inference(rat,[],[s1318,s1353,s539,s3749,s3698,s4838,s2505,s899,s886]) ).
cnf(s5001,plain,
( ~ spl2_239
| ~ spl2_192
| spl2_468
| ~ spl2_382
| ~ spl2_377
| spl2_132
| spl2_205
| spl2_109
| spl2_118
| ~ spl2_194
| ~ spl2_395
| spl2_286
| ~ spl2_306
| spl2_26 ),
inference(rat,[],[s3334,s4924,s4788,s4847,s4608,s2820,s971,s1236,s955,s4386,s1078]) ).
cnf(s5002,plain,
( ~ spl2_192
| spl2_468
| ~ spl2_377
| spl2_132
| ~ spl2_107
| ~ spl2_378
| spl2_205
| spl2_109
| spl2_118
| ~ spl2_194
| ~ spl2_395
| spl2_286
| ~ spl2_306
| spl2_31
| spl2_26 ),
inference(rat,[],[s3334,s4924,s4788,s548,s4718,s4811,s449,s5001,s2499,s1677]) ).
cnf(s5003,plain,
( ~ spl2_107
| spl2_186
| ~ spl2_353
| spl2_205
| spl2_109
| spl2_118
| ~ spl2_194
| spl2_97
| spl2_369
| ~ spl2_395
| spl2_286
| ~ spl2_306
| ~ spl2_362
| spl2_31
| spl2_26
| spl2_29
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2514,s4832,s4788,s4847,s4608,s2820,s971,s1236,s955,s4386,s1078,s449,s1438,s1238,s5002,s4692,s821,s4761,s2499,s833,s1677,s4671,s862,s4639]) ).
cnf(s5004,plain,
( ~ spl2_116
| spl2_118
| spl2_304
| spl2_27
| spl2_97
| spl2_139
| spl2_369
| ~ spl2_395
| ~ spl2_18
| ~ spl2_306
| ~ spl2_185
| ~ spl2_362
| spl2_45
| spl2_31
| spl2_26
| ~ spl2_17
| ~ spl2_10
| spl2_29
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4916,s4226,s745,s308,s4747,s319,s4134,s5003,s281,s4997,s936,s4484,s2393,s718,s358,s756,s663,s4366,s4999]) ).
cnf(s5005,plain,
( spl2_118
| ~ spl2_112
| spl2_369
| ~ spl2_395
| ~ spl2_18
| ~ spl2_306
| ~ spl2_185
| ~ spl2_362
| spl2_45
| spl2_26
| ~ spl2_17
| spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4279,s4884,s1236,s4590,s931,s4924,s1756,s1238,s361,s4226,s4819,s743,s308,s3332,s4481,s1687,s319,s152,s4787,s4134,s112,s3997,s4661,s4663,s4672,s5004,s4387,s4966,s52,s23,s1703,s4004,s4367,s4366,s1574,s4751,s2200,s3960,s4482,s4895,s3903,s4999,s4882,s174,s34]) ).
cnf(s5006,plain,
( spl2_9
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1687,s743,s4134,s1666,s4672,s4773,s141,s4772,s5005,s1574,s4366,s4367,s4751,s4882,s174,s4993,s4735,s4894,s15,s947,s645,s1420,s1422,s3797,s4474,s4738,s1885,s2557,s4982,s5,s17,s4973,s34,s453,s52]) ).
cnf(s5007,plain,
( ~ spl2_12
| spl2_132
| spl2_42
| ~ spl2_103
| spl2_97
| spl2_28
| spl2_4 ),
inference(rat,[],[s4593,s1885,s16,s3567,s4130,s1315,s4014,s38,s1421]) ).
cnf(s5008,plain,
( ~ spl2_192
| spl2_241
| spl2_21
| ~ spl2_13
| ~ spl2_114
| ~ spl2_102
| spl2_97 ),
inference(rat,[],[s3338,s4531,s4884,s3247,s3316,s4750]) ).
cnf(s5009,plain,
( ~ spl2_306
| ~ spl2_133
| spl2_21
| spl2_77
| spl2_20
| ~ spl2_13
| ~ spl2_17
| ~ spl2_117
| spl2_109
| ~ spl2_114
| ~ spl2_102
| ~ spl2_103
| spl2_97
| spl2_118 ),
inference(rat,[],[s3798,s4826,s449,s664,s1438,s493,s1238,s5008,s1038,s663,s49,s745]) ).
cnf(s5010,plain,
( ~ spl2_192
| spl2_306
| ~ spl2_24
| spl2_21
| ~ spl2_13
| spl2_139
| ~ spl2_114
| ~ spl2_102
| spl2_97 ),
inference(rat,[],[s4585,s657,s1227,s1433,s5008,s2469,s3550,s886,s2322,s947]) ).
cnf(s5011,plain,
( spl2_194
| spl2_185
| spl2_147
| ~ spl2_217
| ~ spl2_38
| ~ spl2_24
| ~ spl2_22
| spl2_12
| ~ spl2_117
| spl2_109
| spl2_184
| spl2_197
| ~ spl2_102
| ~ spl2_127
| ~ spl2_96
| spl2_118
| ~ spl2_421
| ~ spl2_6 ),
inference(rat,[],[s4208,s3011,s2529,s2335,s4101,s1235,s4762,s704,s3449,s679,s1157,s681,s3117,s2384,s1236,s691,s1331,s3537,s765,s3581,s1449,s2505,s449,s645,s539,s2248]) ).
cnf(s5012,plain,
( ~ spl2_350
| ~ spl2_177
| ~ spl2_368
| spl2_362
| ~ spl2_181
| spl2_196
| spl2_205
| ~ spl2_217
| ~ spl2_15
| spl2_109
| spl2_470
| ~ spl2_233
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s1149,s1024,s4786,s3160,s1148,s2353,s2553,s2555,s1237,s3429,s4875,s2930]) ).
cnf(s5013,plain,
( spl2_362
| ~ spl2_181
| ~ spl2_250
| spl2_278
| ~ spl2_211
| spl2_196
| spl2_205
| ~ spl2_219
| ~ spl2_217
| ~ spl2_15
| ~ spl2_13
| spl2_109
| spl2_470
| ~ spl2_233
| spl2_118
| spl2_29
| ~ spl2_6 ),
inference(rat,[],[s1240,s2521,s4570,s4854,s1940,s831,s5012,s4788,s1016,s2221,s821,s2206,s2324,s4593,s1885,s1420]) ).
cnf(s5014,plain,
( spl2_185
| spl2_147
| ~ spl2_217
| ~ spl2_149
| ~ spl2_235
| ~ spl2_15
| ~ spl2_13
| spl2_12
| spl2_31
| ~ spl2_107
| spl2_109
| spl2_184
| spl2_470
| spl2_186
| spl2_180
| spl2_197
| ~ spl2_116
| ~ spl2_233
| ~ spl2_102
| ~ spl2_127
| ~ spl2_96
| spl2_118
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s2795,s843,s827,s4890,s5013,s53,s2397,s3011,s4936,s730,s4787,s4382,s4386,s3192,s4724,s4916,s1236,s2496,s3439,s4814,s2393,s902,s4028,s717,s718,s3960,s5011,s539,s2248,s1273,s52,s173,s4671,s17,s4750,s67,s2557,s4593,s1885,s1420,s1285,s745,s1279,s449]) ).
cnf(s5016,plain,
( ~ spl2_194
| ~ spl2_185
| ~ spl2_48
| spl2_31
| ~ spl2_107
| ~ spl2_116 ),
inference(rat,[],[s682,s4814,s2393,s717,s718]) ).
cnf(s5017,plain,
( ~ spl2_133
| ~ spl2_15
| spl2_12
| ~ spl2_107
| ~ spl2_116
| spl2_112
| ~ spl2_233
| ~ spl2_103
| spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s500,s4850,s4787,s679,s4915,s4864,s1511,s5016,s2196,s3663,s3209,s5014,s1438,s1238,s5010,s955,s2443,s947,s5009,s429,s3550,s627,s566,s1362,s107,s4179,s2063,s642,s1388,s1392,s356,s315,s4754,s4671,s1294,s173,s67,s2557,s4593,s1885,s1420,s1699,s3446,s312,s152,s322,s49,s745,s1279,s17]) ).
cnf(s5019,plain,
( ~ spl2_192
| spl2_242
| spl2_286
| ~ spl2_25
| spl2_21
| ~ spl2_13
| ~ spl2_114
| ~ spl2_102
| spl2_97
| spl2_4 ),
inference(rat,[],[s4756,s4812,s3011,s2575,s1227,s4928,s5008,s1273,s52,s886,s4750]) ).
cnf(s5020,plain,
( ~ spl2_306
| spl2_21
| spl2_77
| spl2_20
| ~ spl2_13
| ~ spl2_17
| ~ spl2_117
| spl2_109
| ~ spl2_114
| ~ spl2_102
| ~ spl2_103
| spl2_97
| spl2_118
| spl2_4 ),
inference(rat,[],[s3798,s4826,s449,s664,s1438,s493,s1238,s5019,s4664,s663,s49,s745]) ).
cnf(s5021,plain,
( ~ spl2_107
| ~ spl2_116
| spl2_112
| ~ spl2_233
| ~ spl2_103
| spl2_97
| spl2_118
| spl2_28
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s648,s4632,s674,s2506,s3698,s3192,s1236,s895,s1897,s1235,s589,s826,s4904,s53,s1918,s607,s2397,s449,s3011,s1438,s493,s4208,s1433,s1238,s544,s4104,s5010,s947,s5020,s5017,s1285,s4593,s4750,s745,s1885,s67,s1279,s1420,s2557,s16,s1699,s3042,s3446,s17,s5007,s4671,s1294,s862,s173,s52,s3550,s4063,s627,s1362,s312,s107,s2127,s2063,s642,s1388,s1392,s356,s315,s152,s4754,s322]) ).
cnf(s5022,plain,
( ~ spl2_116
| spl2_112
| ~ spl2_233
| ~ spl2_103
| spl2_97
| spl2_118
| spl2_28
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s15,s4130,s1279,s4747,s2851,s112,s5021,s4004,s4063,s312,s152,s322]) ).
cnf(s5023,plain,
( ~ spl2_306
| spl2_26
| ~ spl2_27
| ~ spl2_18
| ~ spl2_98
| ~ spl2_132
| spl2_116
| spl2_42
| ~ spl2_111
| ~ spl2_114
| spl2_95
| spl2_123
| spl2_97
| spl2_118
| spl2_28
| ~ spl2_421 ),
inference(rat,[],[s971,s4808,s4923,s1756,s1238,s3997,s4955,s1192,s2575,s4833,s2207]) ).
cnf(s5024,plain,
( spl2_109
| spl2_197
| spl2_306
| spl2_26
| ~ spl2_27
| ~ spl2_12
| spl2_15
| ~ spl2_98
| ~ spl2_132
| spl2_116
| ~ spl2_111
| ~ spl2_114
| ~ spl2_102
| spl2_95
| spl2_123
| spl2_118
| spl2_28 ),
inference(rat,[],[s2237,s657,s4274,s4373,s4193,s1756,s1238,s3997,s4941,s4955,s4027]) ).
cnf(s5025,plain,
( spl2_112
| ~ spl2_233
| spl2_95
| ~ spl2_103
| spl2_97
| spl2_118
| spl2_28
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s1062,s1065,s5024,s609,s947,s5023,s1352,s2557,s4903,s1123,s933,s1129,s17,s309,s3042,s15,s1279,s2849,s2851,s112,s4677,s4672,s5022,s4063,s1388,s107,s312,s1273,s52,s1392,s4004,s152,s322]) ).
cnf(s5026,plain,
( ~ spl2_12
| ~ spl2_112
| spl2_97
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s15,s4366,s4593,s4134,s1885,s4014,s4671,s3489,s2423,s1727,s4903,s38,s1421,s52,s1574,s1294,s174,s4751]) ).
cnf(s5027,plain,
( spl2_13
| spl2_27
| ~ spl2_112
| spl2_106
| ~ spl2_212
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s332,s1687,s15,s743,s1279,s3489,s3490]) ).
cnf(s5029,plain,
( ~ spl2_157
| spl2_286
| spl2_10
| spl2_21
| spl2_77
| ~ spl2_13
| spl2_118
| ~ spl2_421 ),
inference(rat,[],[s3798,s449,s4884,s1625,s3338,s4584]) ).
cnf(s5030,plain,
( ~ spl2_183
| spl2_286
| ~ spl2_117
| ~ spl2_130
| spl2_77
| spl2_118 ),
inference(rat,[],[s3798,s449,s4547,s1438]) ).
cnf(s5031,plain,
( spl2_286
| ~ spl2_117
| ~ spl2_130
| spl2_109
| spl2_10
| ~ spl2_116
| ~ spl2_25
| spl2_21
| spl2_77
| ~ spl2_13
| ~ spl2_102
| spl2_97
| spl2_118
| spl2_4 ),
inference(rat,[],[s3332,s4924,s2575,s4848,s4812,s513,s449,s4756,s3798,s4531,s3316,s1238,s5030,s5029,s1273,s52,s4750]) ).
cnf(s5032,plain,
( ~ spl2_286
| ~ spl2_24
| ~ spl2_22
| spl2_109
| ~ spl2_116
| ~ spl2_25
| spl2_21
| ~ spl2_15
| spl2_12
| ~ spl2_112
| spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4916,s4226,s2393,s2200,s674,s2505,s3698,s1933,s3192,s1236,s895,s1897,s1235,s589,s826,s53,s607,s2397,s2066,s1433,s449,s2797,s657,s970,s4385,s4374,s3011,s2575,s947,s730,s663,s1273,s52,s3550,s174,s628,s636,s17,s1285]) ).
cnf(s5033,plain,
( ~ spl2_192
| ~ spl2_98
| spl2_157
| spl2_286
| ~ spl2_22
| ~ spl2_116
| ~ spl2_25
| spl2_77
| ~ spl2_102
| spl2_123
| spl2_97
| spl2_118
| spl2_4 ),
inference(rat,[],[s2575,s4812,s3332,s449,s4924,s4756,s3798,s4848,s4531,s1756,s3316,s1273,s52]) ).
cnf(s5034,plain,
( ~ spl2_15
| ~ spl2_13
| spl2_12
| ~ spl2_112
| spl2_95
| ~ spl2_103
| spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4812,s449,s4756,s3798,s4547,s493,s1238,s5033,s112,s4671,s5031,s5029,s5032,s4593,s4750,s4813,s350,s1885,s3792,s3882,s67,s1279,s1420,s1273,s52,s4004,s152,s322,s1574,s1294,s174,s2557]) ).
cnf(s5035,plain,
( ~ spl2_188
| ~ spl2_239
| ~ spl2_287
| spl2_286
| spl2_109
| ~ spl2_9 ),
inference(rat,[],[s4386,s1236,s694,s1853]) ).
cnf(s5036,plain,
( spl2_194
| spl2_20
| ~ spl2_219
| ~ spl2_133
| ~ spl2_18
| ~ spl2_13
| ~ spl2_105
| ~ spl2_127
| spl2_97 ),
inference(rat,[],[s4829,s2317,s586,s1331,s899,s679,s3581,s3698,s901,s2505]) ).
cnf(s5037,plain,
( spl2_360
| spl2_447
| spl2_437
| spl2_278
| ~ spl2_219
| spl2_109 ),
inference(rat,[],[s1240,s2521,s4570,s4854]) ).
cnf(s5038,plain,
( ~ spl2_360
| spl2_20
| ~ spl2_42
| spl2_26 ),
inference(rat,[],[s805,s821,s977,s1941,s3696]) ).
cnf(s5039,plain,
( spl2_362
| spl2_360
| ~ spl2_211
| spl2_278
| ~ spl2_219
| spl2_109
| ~ spl2_13 ),
inference(rat,[],[s5037,s2221,s2324]) ).
cnf(s5040,plain,
( spl2_20
| ~ spl2_219
| ~ spl2_239
| spl2_156
| spl2_268
| spl2_186
| ~ spl2_133
| ~ spl2_21
| ~ spl2_116
| spl2_132
| spl2_109
| ~ spl2_107
| ~ spl2_18
| ~ spl2_13
| ~ spl2_17
| spl2_31
| ~ spl2_103
| spl2_97
| spl2_118
| ~ spl2_9 ),
inference(rat,[],[s2795,s821,s843,s3778,s4986,s5039,s5038,s4179,s166,s4832,s679,s2253,s4847,s935,s4732,s2820,s899,s756,s681,s1236,s645,s4814,s4386,s3336,s4596,s717,s718,s3903,s5036,s4754,s152,s103,s2557,s642,s429,s322,s663,s4480,s947,s3337,s4966,s4130]) ).
cnf(s5041,plain,
( ~ spl2_192
| spl2_128
| ~ spl2_133
| ~ spl2_21
| spl2_109
| ~ spl2_107
| ~ spl2_395
| ~ spl2_18
| ~ spl2_13
| ~ spl2_17
| spl2_31
| spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2134,s4846,s4788,s821,s3327,s2825,s831,s5003,s674,s2505,s3698,s899,s645,s4735,s3797,s4474,s5040,s539,s5035,s4885,s449,s4808,s1625,s971,s4584,s748,s2575,s4830,s4592,s3318,s1273,s2557,s862,s279,s253,s3550,s152,s322,s642,s4672,s52,s4367,s4751,s663,s947,s3337,s4966,s4130]) ).
cnf(s5042,plain,
( spl2_20
| spl2_156
| ~ spl2_157
| ~ spl2_239
| spl2_186
| ~ spl2_133
| ~ spl2_21
| ~ spl2_116
| spl2_132
| spl2_109
| ~ spl2_107
| ~ spl2_18
| ~ spl2_13
| ~ spl2_17
| spl2_31
| ~ spl2_103
| spl2_97
| spl2_118
| ~ spl2_9 ),
inference(rat,[],[s5035,s539,s4584,s5040,s1885,s663,s947,s3337,s4966,s4130,s971,s2557]) ).
cnf(s5043,plain,
( ~ spl2_10
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_45
| ~ spl2_306
| ~ spl2_116
| ~ spl2_395
| ~ spl2_18
| spl2_26
| ~ spl2_17
| ~ spl2_112
| spl2_97
| spl2_118
| spl2_29
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2200,s4999,s5004,s1574,s1294,s174,s4751]) ).
cnf(s5044,plain,
( ~ spl2_77
| ~ spl2_107
| ~ spl2_395
| ~ spl2_112
| ~ spl2_233
| spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4787,s4936,s3012,s4648,s681,s1236,s4814,s4386,s717,s3960,s674,s2505,s3698,s539,s5035,s4584,s5043,s899,s645,s4735,s3797,s4474,s4738,s5042,s4808,s971,s955,s1078,s449,s1438,s493,s1238,s5041,s663,s947,s253,s279,s3337,s492,s4966,s318,s4130,s308,s4747,s4793,s3550,s152,s17,s2557,s15,s5034,s5027,s1574,s322,s886,s347,s5026,s862,s4671,s1294,s174,s642,s4672,s52,s4367,s4751]) ).
cnf(s5045,plain,
( spl2_21
| spl2_286
| spl2_10
| spl2_77
| ~ spl2_117
| ~ spl2_116
| spl2_109
| ~ spl2_13
| ~ spl2_112
| ~ spl2_102
| spl2_97
| spl2_118
| spl2_4 ),
inference(rat,[],[s5031,s4813,s745]) ).
cnf(s5046,plain,
( spl2_286
| spl2_20
| spl2_77
| ~ spl2_107
| ~ spl2_395
| ~ spl2_112
| spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3798,s4826,s449,s521,s1438,s493,s1238,s3337,s5041,s4966,s492,s4130,s318,s1687,s308,s934,s5045,s152,s15,s5034,s347,s4672,s52,s4367,s4671,s1294,s174,s49,s745,s17,s5026,s1885,s5027,s1574,s322,s4751,s886]) ).
cnf(s5047,plain,
( spl2_20
| ~ spl2_107
| spl2_97
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s3827,s658,s971,s4585,s2322,s730,s663,s5046,s1,s17,s2557,s5044,s4894,s15,s5034,s5027,s1574,s886,s5026,s5025,s4367,s424,s4002,s152,s322,s4751,s140,s5006,s453]) ).
cnf(s5048,plain,
( ~ spl2_107
| spl2_97
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s4915,s2196,s4896,s1687,s2384,s539,s934,s3749,s3698,s5045,s4838,s2505,s663,s5043,s899,s5016,s947,s645,s4735,s1422,s3797,s4474,s4738,s5047,s49,s745,s5044,s4671,s4672,s347,s1273,s52,s1294,s174,s17,s2557,s4894,s15,s5034,s5027,s1574,s886,s5026,s5025,s4002,s152,s322,s424,s4367,s4751,s140,s5006,s453]) ).
cnf(s5049,plain,
( spl2_286
| spl2_10
| ~ spl2_116
| spl2_109
| spl2_77
| ~ spl2_130
| ~ spl2_25
| spl2_21
| ~ spl2_98
| ~ spl2_18
| ~ spl2_13
| ~ spl2_17
| ~ spl2_102
| spl2_123
| spl2_97
| spl2_118
| spl2_4
| ~ spl2_2 ),
inference(rat,[],[s1238,s4547,s5033,s3827,s5029,s1273,s4750]) ).
cnf(s5050,plain,
( ~ spl2_286
| ~ spl2_22
| ~ spl2_18
| ~ spl2_13
| ~ spl2_17
| spl2_118
| spl2_1 ),
inference(rat,[],[s971,s3827,s4585,s3011,s2322,s730,s663,s453,s1,s2557]) ).
cnf(s5051,plain,
( spl2_20
| spl2_286
| spl2_77
| ~ spl2_25
| spl2_21
| ~ spl2_98
| ~ spl2_18
| ~ spl2_13
| ~ spl2_17
| ~ spl2_112
| ~ spl2_102
| spl2_95
| spl2_123
| spl2_97
| spl2_118
| spl2_4
| ~ spl2_2 ),
inference(rat,[],[s5049,s1885,s3792,s4813,s361]) ).
cnf(s5052,plain,
( ~ spl2_116
| ~ spl2_25
| spl2_21
| ~ spl2_98
| ~ spl2_18
| ~ spl2_13
| ~ spl2_112
| ~ spl2_102
| spl2_97
| spl2_118
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s5043,s5049,s52,s2557,s4894,s4813,s361,s4738,s4474,s4735,s645,s3797,s947,s1422,s5051,s5050,s4750,s4793,s1574,s4751,s17,s5026,s4367,s4004,s453,s1]) ).
cnf(s5053,plain,
( ~ spl2_10
| spl2_116
| ~ spl2_185
| spl2_109
| ~ spl2_98
| ~ spl2_18
| spl2_31
| ~ spl2_102
| spl2_95
| spl2_97
| spl2_118
| ~ spl2_9
| ~ spl2_6 ),
inference(rat,[],[s1235,s920,s3478,s4928,s539,s2491,s1238,s4814,s694,s748,s3997,s4724,s4481,s4966,s4787,s2496,s4482,s4663,s1353,s3903,s4999,s4004,s899]) ).
cnf(s5054,plain,
( spl2_97
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1238,s3316,s4547,s4531,s3827,s5029,s5053,s5052,s645,s3797,s5051,s5050,s361,s4750,s4793,s4813,s743,s308,s1687,s319,s4134,s112,s5048,s4366,s15,s5034,s5027,s17,s5026,s1294,s1574,s174,s5025,s4002,s152,s322,s4367,s4751,s4004,s886,s453,s1,s1273,s424,s140,s5006]) ).
cnf(s5055,plain,
( spl2_13
| spl2_109
| ~ spl2_102
| ~ spl2_107
| ~ spl2_114
| spl2_31
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1377,s318,s4902,s15,s492,s3446,s1279,s1990,s1699,s3490]) ).
cnf(s5056,plain,
( ~ spl2_306
| ~ spl2_18
| ~ spl2_22
| ~ spl2_133
| spl2_42
| ~ spl2_232
| ~ spl2_111
| spl2_118 ),
inference(rat,[],[s953,s1458,s3011,s1038,s4833]) ).
cnf(s5057,plain,
( ~ spl2_155
| ~ spl2_273
| ~ spl2_288
| spl2_428
| spl2_147
| spl2_306
| ~ spl2_27
| ~ spl2_22
| spl2_20
| spl2_109
| spl2_26
| ~ spl2_6 ),
inference(rat,[],[s4940,s4829,s2529,s3439,s4101,s3477,s1235,s1592,s4759,s3011,s898,s658]) ).
cnf(s5058,plain,
( spl2_185
| spl2_306
| ~ spl2_27
| spl2_15
| ~ spl2_22
| ~ spl2_30
| ~ spl2_12
| ~ spl2_13
| spl2_109
| ~ spl2_102
| ~ spl2_232
| spl2_139
| ~ spl2_114
| spl2_26
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s4940,s4829,s2529,s3439,s4101,s3477,s1235,s4759,s4373,s1592,s657,s1458,s2237,s4274,s5057,s681,s4410,s645,s2317,s1421,s4402]) ).
cnf(s5059,plain,
( ~ spl2_12
| ~ spl2_13
| spl2_109
| spl2_37
| ~ spl2_102
| ~ spl2_232
| spl2_10
| spl2_139
| spl2_112
| spl2_26
| spl2_118
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s679,s1511,s3117,s3858,s3209,s4482,s5058,s5056,s4903,s4497,s15,s4593,s4750,s4902,s38,s933,s52,s23,s107,s4063,s312,s4881]) ).
cnf(s5060,plain,
( ~ spl2_107
| spl2_112
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1279,s745,s16,s120,s3042,s3135,s17,s5059,s4881,s5055,s1203,s4002,s123,s4796,s152,s4807,s4805,s1112,s4672,s862,s173,s4187,s453,s1273,s52,s424,s140,s5006,s385,s23,s1111,s5054,s312]) ).
cnf(s5061,plain,
( spl2_147
| ~ spl2_306
| ~ spl2_133
| ~ spl2_208
| spl2_109
| ~ spl2_395
| ~ spl2_98 ),
inference(rat,[],[s1467,s1238,s955,s1743,s1078,s4885,s449]) ).
cnf(s5062,plain,
( ~ spl2_306
| ~ spl2_133
| ~ spl2_208
| spl2_10
| spl2_109
| spl2_21
| ~ spl2_395
| ~ spl2_18
| ~ spl2_77
| spl2_13
| ~ spl2_98
| spl2_118
| ~ spl2_421 ),
inference(rat,[],[s4383,s955,s4884,s4584,s893,s1625,s5061,s941]) ).
cnf(s5063,plain,
( spl2_185
| spl2_156
| spl2_268
| spl2_306
| ~ spl2_208
| ~ spl2_232
| spl2_103
| spl2_109
| ~ spl2_30
| ~ spl2_98
| spl2_118
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4585,s1592,s1998,s2529,s1238,s3666,s2547,s4787,s3858,s1552,s3439,s4101,s3477,s1235,s681,s4759,s4410,s645,s4402]) ).
cnf(s5066,plain,
( ~ spl2_194
| spl2_278
| ~ spl2_232
| ~ spl2_27
| spl2_13
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4245,s3949]) ).
cnf(s5067,plain,
( ~ spl2_185
| ~ spl2_389
| ~ spl2_133
| ~ spl2_232
| ~ spl2_27
| ~ spl2_12
| ~ spl2_18
| spl2_13
| ~ spl2_111
| spl2_31
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4814,s1732,s681,s679,s1836,s1511,s2505,s5066,s3209,s899]) ).
cnf(s5068,plain,
( ~ spl2_155
| spl2_185
| spl2_306
| ~ spl2_208
| ~ spl2_232
| spl2_103
| spl2_109
| ~ spl2_27
| ~ spl2_30
| spl2_20
| ~ spl2_98
| spl2_118
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5063,s898,s658]) ).
cnf(s5069,plain,
( spl2_268
| spl2_185
| spl2_306
| ~ spl2_208
| ~ spl2_232
| spl2_103
| spl2_109
| ~ spl2_30
| ~ spl2_12
| ~ spl2_98
| spl2_118
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5063,s4373]) ).
cnf(s5070,plain,
( ~ spl2_231
| ~ spl2_217
| ~ spl2_268
| spl2_155
| spl2_185
| ~ spl2_149
| spl2_109
| spl2_20
| spl2_15
| spl2_118 ),
inference(rat,[],[s1235,s2545,s1897,s2819,s4575,s679,s586,s902]) ).
cnf(s5071,plain,
( ~ spl2_133
| ~ spl2_208
| ~ spl2_232
| spl2_10
| spl2_103
| spl2_109
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_395
| spl2_15
| spl2_13
| spl2_107
| ~ spl2_111
| spl2_31
| spl2_26
| spl2_118
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2505,s5066,s4883,s3537,s1933,s1236,s5070,s955,s971,s5069,s5068,s681,s4410,s5067,s449,s4402,s947,s5062,s4134,s112,s3490,s15,s1421,s4902]) ).
cnf(s5072,plain,
( spl2_362
| ~ spl2_149
| spl2_360
| spl2_286
| ~ spl2_239
| ~ spl2_12
| spl2_118 ),
inference(rat,[],[s4786,s1757,s3651,s4023]) ).
cnf(s5073,plain,
( ~ spl2_176
| ~ spl2_42
| spl2_180
| ~ spl2_287
| ~ spl2_251 ),
inference(rat,[],[s821,s805,s2174,s788]) ).
cnf(s5074,plain,
( ~ spl2_155
| ~ spl2_196
| spl2_194
| ~ spl2_306
| ~ spl2_208
| spl2_10
| spl2_109
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_395
| ~ spl2_18
| ~ spl2_98
| spl2_31
| spl2_118
| ~ spl2_9
| spl2_8 ),
inference(rat,[],[s805,s977,s821,s981,s3778,s1757,s4786,s5073,s4833,s4585,s1832,s1235,s4101,s570,s2547,s4051,s2268,s1238,s4584,s1467,s955,s1078,s449,s4811,s4884,s658,s3213,s1421]) ).
cnf(s5075,plain,
( spl2_362
| spl2_360
| ~ spl2_120
| ~ spl2_95
| ~ spl2_30
| ~ spl2_12
| ~ spl2_98 ),
inference(rat,[],[s4335,s4365,s2663,s1769,s3995,s4478,s4023,s1723]) ).
cnf(s5076,plain,
( ~ spl2_368
| ~ spl2_362
| ~ spl2_42
| ~ spl2_12
| ~ spl2_395
| spl2_31 ),
inference(rat,[],[s4639,s1730,s831,s977,s2825,s805]) ).
cnf(s5077,plain,
( spl2_155
| ~ spl2_306
| ~ spl2_120
| ~ spl2_208
| ~ spl2_232
| spl2_10
| ~ spl2_95
| spl2_109
| ~ spl2_12
| ~ spl2_395
| ~ spl2_18
| spl2_13
| ~ spl2_98
| ~ spl2_111
| spl2_31
| spl2_26
| spl2_118
| ~ spl2_9
| ~ spl2_421 ),
inference(rat,[],[s4786,s1757,s2174,s3778,s821,s5076,s5075,s5038,s4833,s2575,s449,s4406,s1625,s4051,s1261,s4584,s1238,s953,s955,s1519,s1484,s4383,s2188,s1421,s4902,s941]) ).
cnf(s5078,plain,
( spl2_185
| ~ spl2_155
| ~ spl2_306
| spl2_133
| ~ spl2_208
| spl2_10
| spl2_103
| spl2_132
| spl2_109
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_395
| ~ spl2_18
| ~ spl2_98
| spl2_31
| spl2_118
| ~ spl2_9
| spl2_8
| ~ spl2_6 ),
inference(rat,[],[s3439,s4883,s5074,s2505,s681,s4632,s4410,s645,s4902]) ).
cnf(s5079,plain,
( ~ spl2_306
| spl2_133
| ~ spl2_232
| spl2_10
| ~ spl2_95
| ~ spl2_106
| spl2_109
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_395
| spl2_13
| ~ spl2_98
| ~ spl2_111
| spl2_31
| spl2_26
| spl2_118
| spl2_28
| ~ spl2_9
| spl2_8
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1236,s766,s3554,s679,s4838,s4646,s5066,s899,s5078,s539,s5035,s3155,s4051,s1551,s1238,s4584,s1467,s955,s1078,s449,s4811,s4884,s3213,s5077,s15,s1279,s3490,s860,s322,s4807,s319]) ).
cnf(s5080,plain,
( ~ spl2_349
| ~ spl2_236
| spl2_268
| spl2_10
| ~ spl2_95
| ~ spl2_106
| ~ spl2_98
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4608,s4788,s4692,s3334,s4365,s2499,s4335,s1769,s4320,s2663,s3778,s4846,s4877,s4807]) ).
cnf(s5081,plain,
( ~ spl2_177
| ~ spl2_368
| ~ spl2_305
| ~ spl2_321
| ~ spl2_155
| ~ spl2_120
| ~ spl2_232
| ~ spl2_95
| spl2_109
| spl2_21
| ~ spl2_12
| ~ spl2_395
| ~ spl2_18
| ~ spl2_98
| ~ spl2_111
| spl2_31 ),
inference(rat,[],[s2903,s1542,s4572,s1714,s5076,s977,s1240,s5075,s4597,s2155,s1024,s4618,s4902,s687]) ).
cnf(s5082,plain,
( ~ spl2_155
| spl2_237
| spl2_306
| ~ spl2_120
| ~ spl2_232
| spl2_10
| ~ spl2_95
| ~ spl2_106
| spl2_109
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_395
| spl2_13
| ~ spl2_98
| ~ spl2_111
| spl2_31
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5076,s4572,s5075,s2903,s2966,s3470,s3224,s4788,s5081,s821,s5080,s4709,s1235,s4101,s2547,s2505,s4924,s5066,s1238,s899,s3755,s5068,s658,s15,s1279,s3490,s1421,s943,s322,s4807,s4402,s4902]) ).
cnf(s5083,plain,
( spl2_185
| ~ spl2_217
| ~ spl2_268
| spl2_155
| ~ spl2_239
| ~ spl2_149
| spl2_133
| spl2_103
| spl2_132
| spl2_109
| ~ spl2_30
| spl2_20
| spl2_15
| spl2_118 ),
inference(rat,[],[s1933,s4883,s2505,s1236,s681,s4632,s5070,s4410,s645]) ).
cnf(s5084,plain,
( ~ spl2_106
| spl2_109
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_395
| spl2_13
| spl2_107
| ~ spl2_111
| spl2_31
| spl2_116
| ~ spl2_97
| spl2_118
| spl2_28
| ~ spl2_9
| spl2_8
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1732,s4814,s679,s681,s1511,s4883,s3208,s1933,s1236,s895,s1897,s1235,s1139,s2505,s5066,s899,s5083,s2575,s1592,s2320,s955,s971,s4215,s3221,s1261,s953,s5082,s3155,s449,s4104,s4402,s947,s5079,s319,s5071,s4807,s4805,s1112,s322,s4661,s860,s943,s1111,s112,s15,s4591,s1279,s3490,s1421,s4902]) ).
cnf(s5085,plain,
( ~ spl2_10
| spl2_42
| spl2_109
| ~ spl2_30
| spl2_15
| ~ spl2_97
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s4944,s1112]) ).
cnf(s5086,plain,
( ~ spl2_155
| ~ spl2_159
| ~ spl2_306
| spl2_127
| ~ spl2_133
| spl2_106
| spl2_109
| ~ spl2_12
| ~ spl2_98
| spl2_31 ),
inference(rat,[],[s1238,s1743,s1992,s4885,s4585,s4811,s658,s3213,s1421]) ).
cnf(s5087,plain,
( ~ spl2_306
| ~ spl2_133
| spl2_106
| spl2_109
| ~ spl2_12
| ~ spl2_18
| spl2_13
| ~ spl2_98
| ~ spl2_111
| ~ spl2_114
| spl2_31
| ~ spl2_97
| spl2_118 ),
inference(rat,[],[s861,s4805,s1238,s1458,s3247,s953,s5086,s4949,s4833,s1038,s941,s4063,s152,s900]) ).
cnf(s5088,plain,
( spl2_132
| spl2_268
| spl2_306
| ~ spl2_389
| ~ spl2_133
| ~ spl2_120
| spl2_109
| ~ spl2_27
| ~ spl2_12
| ~ spl2_18
| spl2_13
| ~ spl2_98
| ~ spl2_111
| spl2_31
| ~ spl2_97
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4101,s1235,s2547,s4759,s3868,s645,s5067,s4912,s4805,s4402,s4902,s1238,s3755]) ).
cnf(s5089,plain,
( spl2_185
| spl2_182
| spl2_286
| ~ spl2_239
| ~ spl2_149
| spl2_109
| ~ spl2_12 ),
inference(rat,[],[s1236,s4386,s902,s4062]) ).
cnf(s5090,plain,
( ~ spl2_155
| spl2_306
| ~ spl2_389
| ~ spl2_133
| ~ spl2_120
| spl2_393
| ~ spl2_233
| spl2_109
| ~ spl2_12
| ~ spl2_18
| spl2_13
| ~ spl2_98
| ~ spl2_111
| ~ spl2_114
| spl2_31
| ~ spl2_97
| spl2_118
| spl2_29
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1236,s4386,s766,s772,s4479,s3209,s5089,s4950,s4787,s4026,s5088,s4051,s1238,s3755,s4884,s658,s1111,s1421,s933,s4903,s3489,s947,s449,s4402,s4902]) ).
cnf(s5091,plain,
( ~ spl2_133
| ~ spl2_233
| spl2_106
| spl2_109
| ~ spl2_12
| spl2_15
| spl2_13
| spl2_107
| ~ spl2_111
| ~ spl2_114
| spl2_31
| ~ spl2_97
| spl2_118
| spl2_29
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4386,s1236,s772,s4602,s4479,s2251,s4482,s3209,s955,s5089,s1768,s4051,s4950,s1238,s4787,s861,s4026,s4912,s2316,s688,s2237,s4274,s5090,s449,s4402,s947,s5087,s4134,s1111,s112,s4027,s4902,s4903,s3489,s4063,s4964,s318,s492,s1990,s152,s15]) ).
cnf(s5092,plain,
( spl2_132
| ~ spl2_287
| ~ spl2_239
| ~ spl2_422
| spl2_133
| spl2_42
| ~ spl2_102
| spl2_109
| ~ spl2_18
| ~ spl2_98
| spl2_116
| ~ spl2_97
| ~ spl2_9
| spl2_39
| spl2_1 ),
inference(rat,[],[s4482,s645,s3858,s4632,s2831,s4487,s539,s5035,s4051,s1238,s1998,s4677,s4805,s453]) ).
cnf(s5093,plain,
( ~ spl2_155
| spl2_322
| ~ spl2_306
| spl2_133
| spl2_10
| spl2_393
| spl2_42
| ~ spl2_102
| spl2_109
| ~ spl2_12
| ~ spl2_218
| ~ spl2_18
| ~ spl2_98
| spl2_31
| spl2_116
| ~ spl2_97
| spl2_118
| ~ spl2_9
| spl2_39
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4492,s3012,s539,s5035,s4051,s1238,s4787,s861,s4026,s5092,s4584,s955,s1078,s449,s4585,s4811,s658,s3213,s4894,s1421,s4002,s4833]) ).
cnf(s5094,plain,
( ~ spl2_306
| spl2_133
| ~ spl2_102
| spl2_109
| ~ spl2_12
| spl2_13
| ~ spl2_98
| ~ spl2_114
| spl2_31
| spl2_116
| ~ spl2_97
| spl2_118
| ~ spl2_9
| ~ spl2_421
| spl2_39
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4492,s3012,s539,s5035,s4051,s1238,s4787,s449,s861,s4026,s1625,s4805,s4584,s1484,s955,s2237,s4383,s4274,s5093,s4949,s941,s15,s4027,s4002,s4964,s1990,s5085,s4063,s4902,s1279,s3490,s453]) ).
cnf(s5095,plain,
( spl2_132
| ~ spl2_422
| ~ spl2_192
| ~ spl2_153
| ~ spl2_239
| spl2_133
| spl2_10
| spl2_42
| ~ spl2_102
| spl2_109
| ~ spl2_18
| ~ spl2_98
| spl2_116
| ~ spl2_97
| ~ spl2_9
| spl2_39
| spl2_1 ),
inference(rat,[],[s4506,s1697,s4584,s111,s5092,s4677]) ).
cnf(s5096,plain,
( ~ spl2_155
| spl2_306
| spl2_133
| spl2_10
| ~ spl2_120
| spl2_393
| spl2_42
| ~ spl2_102
| spl2_109
| ~ spl2_27
| ~ spl2_12
| ~ spl2_18
| ~ spl2_98
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1236,s4386,s2107,s4819,s4829,s2384,s4482,s5089,s4950,s4787,s4026,s5095,s4585,s4943,s4051,s1238,s3755,s897,s658,s453,s1273,s52,s140,s5006,s385,s1421,s4002,s947,s449,s4402,s4902,s23,s1111,s5054]) ).
cnf(s5097,plain,
( spl2_109
| ~ spl2_12
| spl2_13
| spl2_112
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s4386,s1236,s4819,s4602,s2384,s2251,s4482,s955,s5089,s1768,s4051,s4950,s1238,s4787,s861,s4026,s4104,s688,s2237,s4274,s5096,s449,s4402,s947,s5094,s5091,s5085,s318,s4964,s492,s1990,s4063,s4002,s152,s5084,s1273,s424,s140,s385,s107,s112,s5060,s4027,s312,s4894,s15,s1279,s3490,s5006,s933,s4902,s23,s1111,s5054,s4903,s3489,s453,s52]) ).
cnf(s5098,plain,
( ~ spl2_109
| spl2_15
| spl2_13
| ~ spl2_114
| spl2_118 ),
inference(rat,[],[s1225,s1062]) ).
cnf(s5099,plain,
( ~ spl2_306
| ~ spl2_27
| ~ spl2_232
| spl2_12
| ~ spl2_18
| spl2_13
| ~ spl2_98
| ~ spl2_114
| spl2_118 ),
inference(rat,[],[s2826,s1484,s4385,s898,s4480,s941,s938,s17]) ).
cnf(s5100,plain,
( spl2_13
| spl2_112
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1757,s4786,s981,s788,s977,s3219,s3352,s5080,s4924,s4051,s449,s1238,s893,s3755,s4884,s658,s4385,s2826,s4104,s1422,s947,s5099,s572,s2330,s4793,s4912,s308,s319,s4417,s4805,s1112,s4661,s860,s943,s152,s1699,s26,s3446,s5,s17,s5097,s5098,s15,s1279,s3490,s41,s453,s140,s5006,s1111,s385,s5054,s638,s938,s112,s5060,s312]) ).
cnf(s5101,plain,
( ~ spl2_306
| ~ spl2_77
| ~ spl2_133
| ~ spl2_232
| ~ spl2_208
| spl2_109
| ~ spl2_395
| ~ spl2_18
| ~ spl2_22
| spl2_10
| spl2_21
| ~ spl2_98
| ~ spl2_111
| spl2_118
| ~ spl2_421 ),
inference(rat,[],[s954,s955,s4884,s4584,s893,s1625,s5061,s5056]) ).
cnf(s5102,plain,
( ~ spl2_42
| ~ spl2_192
| spl2_286
| spl2_268
| spl2_147
| ~ spl2_149
| ~ spl2_133
| ~ spl2_106
| ~ spl2_395
| spl2_10
| ~ spl2_12
| ~ spl2_98
| spl2_31
| spl2_26
| spl2_118
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4608,s4788,s4692,s3224,s4076,s3470,s2935,s4320,s2663,s4846,s4877,s821,s5076,s5072,s5038,s1421,s4807,s449]) ).
cnf(s5103,plain,
( ~ spl2_196
| spl2_328
| ~ spl2_232
| ~ spl2_22
| ~ spl2_111 ),
inference(rat,[],[s679,s1511,s3117,s3858]) ).
cnf(s5104,plain,
( spl2_194
| spl2_328
| ~ spl2_185
| ~ spl2_389
| ~ spl2_12
| ~ spl2_111
| spl2_31 ),
inference(rat,[],[s4814,s1732,s681,s679,s1836,s1511,s2505]) ).
cnf(s5105,plain,
( ~ spl2_155
| spl2_306
| ~ spl2_27
| ~ spl2_389
| ~ spl2_232
| ~ spl2_106
| spl2_109
| ~ spl2_395
| ~ spl2_18
| spl2_21
| ~ spl2_12
| ~ spl2_13
| ~ spl2_98
| ~ spl2_111
| spl2_31
| spl2_26
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4377,s4242,s1236,s4827,s2820,s4465,s5104,s4847,s4507,s2185,s4788,s4608,s4692,s4076,s2499,s2935,s1769,s4320,s2663,s3778,s4846,s4877,s821,s5076,s5072,s5038,s4482,s5103,s955,s3209,s730,s1592,s3338,s5068,s3011,s897,s4884,s658,s4750,s860,s322,s4807,s1885,s1421,s4881,s947,s449,s4402,s4902]) ).
cnf(s5106,plain,
( ~ spl2_42
| spl2_155
| spl2_147
| ~ spl2_149
| spl2_422
| ~ spl2_133
| ~ spl2_106
| spl2_109
| ~ spl2_395
| spl2_10
| ~ spl2_12
| ~ spl2_98
| spl2_31
| spl2_26
| spl2_118
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5102,s730,s1238,s4585,s1467,s971,s955,s954,s4807]) ).
cnf(s5107,plain,
( ~ spl2_192
| spl2_155
| ~ spl2_149
| ~ spl2_95
| ~ spl2_218
| ~ spl2_12
| ~ spl2_114
| spl2_26
| spl2_118 ),
inference(rat,[],[s4215,s971,s3221,s955,s1261,s1768,s3247]) ).
cnf(s5108,plain,
( ~ spl2_185
| spl2_42
| ~ spl2_133
| ~ spl2_232
| ~ spl2_18
| ~ spl2_22
| ~ spl2_111 ),
inference(rat,[],[s5103,s4482,s3209]) ).
cnf(s5109,plain,
( ~ spl2_106
| spl2_109
| ~ spl2_395
| ~ spl2_12
| ~ spl2_13
| spl2_107
| ~ spl2_111
| ~ spl2_114
| ~ spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4380,s539,s679,s4827,s4245,s4465,s2505,s4883,s1933,s1236,s681,s5070,s5069,s4410,s5108,s955,s1467,s1238,s5107,s5106,s4274,s5105,s449,s4402,s947,s2322,s5101,s4903,s745,s4655,s4134,s2617,s4881,s4805,s4807,s322,s4661,s860,s1273,s385,s112,s1528,s4902,s23,s1111,s4750,s933,s52,s15,s4027,s4593,s38,s1885,s1421]) ).
cnf(s5110,plain,
( ~ spl2_306
| ~ spl2_102
| spl2_109
| spl2_15
| ~ spl2_22
| spl2_10
| ~ spl2_12
| ~ spl2_98
| ~ spl2_114
| spl2_31
| ~ spl2_97
| spl2_118
| ~ spl2_9
| ~ spl2_421
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4492,s3012,s4787,s4026,s3903,s2831,s4487,s539,s5035,s449,s1625,s4584,s4923,s4051,s1238,s861,s4805,s1458,s688,s2237,s4274,s3011,s4833,s2207,s15,s4027,s4002,s4063]) ).
cnf(s5111,plain,
( ~ spl2_155
| spl2_106
| spl2_109
| ~ spl2_12
| ~ spl2_13
| spl2_112
| ~ spl2_97
| spl2_118
| spl2_4
| ~ spl2_6 ),
inference(rat,[],[s5059,s123,s4805,s3997,s861,s1120,s1238,s4943,s3011,s687,s385,s4902,s23,s1111,s4750,s933,s52,s15,s4593,s38,s1885,s1421,s4063,s152,s312]) ).
cnf(s5112,plain,
( ~ spl2_192
| spl2_155
| spl2_422
| spl2_42
| ~ spl2_102
| ~ spl2_218
| ~ spl2_18
| ~ spl2_30
| spl2_26
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s971,s4585,s955,s4943,s1768]) ).
cnf(s5113,plain,
( spl2_109
| ~ spl2_12
| spl2_112
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s5059,s123,s4805,s3997,s861,s1120,s1238,s5112,s688,s2237,s4274,s5111,s2322,s5110,s4063,s152,s5109,s453,s1273,s140,s5006,s385,s107,s112,s5060,s4902,s23,s1111,s5054,s4750,s933,s52,s4027,s312,s4894,s15,s4593,s38,s1885,s1421,s5100]) ).
cnf(s5114,plain,
( ~ spl2_134
| spl2_112 ),
inference(rat,[],[s1388,s1391]) ).
cnf(s5115,plain,
( ~ spl2_106
| ~ spl2_17
| ~ spl2_13
| spl2_50
| spl2_116
| ~ spl2_97 ),
inference(rat,[],[s4881,s4417,s4805,s4661,s860,s1111]) ).
cnf(s5116,plain,
( ~ spl2_155
| ~ spl2_199
| spl2_278
| ~ spl2_219
| ~ spl2_132
| ~ spl2_22
| ~ spl2_102
| spl2_109
| ~ spl2_6 ),
inference(rat,[],[s920,s4928,s1235,s1238,s3478,s2491,s861,s3011,s687]) ).
cnf(s5117,plain,
( spl2_109
| spl2_112
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1235,s2519,s920,s4923,s449,s5029,s3931,s4051,s1238,s861,s688,s2826,s4385,s5116,s4814,s681,s3012,s765,s4787,s4026,s3903,s2831,s4487,s826,s4016,s53,s2065,s1346,s4593,s4750,s2851,s1885,s67,s1279,s1420,s16,s3042,s4002,s152,s5115,s26,s3446,s5,s17,s5113,s453,s1273,s424,s140,s5006,s385,s23,s1111,s5054,s638,s938,s112,s5060,s312,s5100]) ).
cnf(s5118,plain,
( spl2_112
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s1065,s1062,s5117,s5114,s312]) ).
cnf(s5119,plain,
( ~ spl2_133
| ~ spl2_155
| ~ spl2_27
| ~ spl2_12
| ~ spl2_232
| ~ spl2_208
| spl2_103
| ~ spl2_395
| ~ spl2_18
| spl2_13
| spl2_109
| spl2_10
| spl2_31
| spl2_118
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4646,s539,s679,s4827,s1732,s1635,s4814,s681,s1836,s2505,s5066,s899,s5068,s5061,s4134,s112,s4187,s1421,s4902,s4811,s3213]) ).
cnf(s5120,plain,
( ~ spl2_42
| ~ spl2_120
| ~ spl2_368
| ~ spl2_12
| ~ spl2_98
| ~ spl2_95
| ~ spl2_395
| spl2_31
| spl2_26 ),
inference(rat,[],[s5075,s5076,s5038,s1421,s4902]) ).
cnf(s5121,plain,
( ~ spl2_306
| spl2_42
| spl2_133
| ~ spl2_155
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_98
| ~ spl2_232
| ~ spl2_208
| spl2_103
| spl2_132
| ~ spl2_395
| spl2_13
| spl2_109
| spl2_10
| spl2_31
| spl2_118
| ~ spl2_9
| spl2_8
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5074,s5066,s4482,s899,s5078,s15,s1279,s3490]) ).
cnf(s5122,plain,
( ~ spl2_155
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_232
| ~ spl2_95
| ~ spl2_106
| ~ spl2_395
| spl2_13
| spl2_109
| spl2_10
| ~ spl2_112
| spl2_31
| spl2_26
| spl2_118
| spl2_28
| ~ spl2_9
| spl2_8
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4620,s2771,s1240,s5075,s4597,s2155,s1024,s4618,s679,s4788,s766,s3224,s1236,s3348,s2333,s1592,s4915,s4585,s4762,s1832,s4709,s1235,s4101,s2547,s2384,s5066,s4482,s899,s5068,s5121,s5120,s319,s5119,s821,s5080,s4924,s3155,s1238,s4590,s4811,s4547,s897,s4884,s658,s687,s3213,s15,s1279,s3490,s860,s322,s112,s4187,s4807,s1421,s4902,s4813]) ).
cnf(s5123,plain,
( ~ spl2_42
| spl2_147
| ~ spl2_149
| ~ spl2_133
| spl2_155
| ~ spl2_12
| ~ spl2_98
| spl2_103
| ~ spl2_106
| ~ spl2_395
| spl2_109
| spl2_10
| spl2_31
| spl2_26
| spl2_118
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5102,s4051,s1238,s971,s1998,s955,s5106,s954]) ).
cnf(s5124,plain,
( ~ spl2_114
| ~ spl2_192
| ~ spl2_149
| spl2_155
| ~ spl2_12
| ~ spl2_95
| spl2_15
| spl2_26
| spl2_118 ),
inference(rat,[],[s5107,s4027]) ).
cnf(s5125,plain,
( ~ spl2_185
| ~ spl2_389
| ~ spl2_27
| ~ spl2_12
| ~ spl2_232
| ~ spl2_18
| spl2_13
| spl2_10
| spl2_31
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4646,s539,s679,s4827,s1732,s1635,s4814,s681,s1836,s2505,s5066,s899]) ).
cnf(s5126,plain,
( ~ spl2_133
| spl2_155
| ~ spl2_27
| spl2_21
| ~ spl2_12
| ~ spl2_232
| ~ spl2_208
| spl2_103
| ~ spl2_395
| spl2_15
| spl2_13
| spl2_109
| spl2_10
| spl2_31
| spl2_26
| spl2_118
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2505,s5066,s4883,s3537,s1933,s1236,s5070,s955,s971,s681,s5069,s4410,s5125,s449,s4402,s947,s5062,s4134,s3490,s15,s112,s4187,s1421,s4902]) ).
cnf(s5127,plain,
( spl2_185
| ~ spl2_422
| spl2_147
| ~ spl2_192
| spl2_133
| ~ spl2_30
| ~ spl2_98
| spl2_103
| spl2_132
| spl2_109
| ~ spl2_6 ),
inference(rat,[],[s1832,s1235,s3439,s4101,s4883,s2547,s2505,s681,s4632,s4410,s645]) ).
cnf(s5128,plain,
( ~ spl2_306
| spl2_133
| spl2_155
| ~ spl2_27
| ~ spl2_12
| ~ spl2_232
| ~ spl2_95
| ~ spl2_106
| ~ spl2_395
| spl2_13
| spl2_109
| spl2_10
| spl2_31
| spl2_26
| spl2_118
| ~ spl2_9
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2513,s1235,s2505,s1832,s5066,s4482,s899,s5127,s4585,s4833,s5120,s821,s1625,s5080,s4584,s971,s4924,s4832,s955,s1238,s1484,s4383,s1519,s941,s2188,s15,s1279,s3490,s860,s322,s112,s4187,s4807,s4902,s319]) ).
cnf(s5129,plain,
( ~ spl2_42
| ~ spl2_236
| ~ spl2_120
| spl2_155
| ~ spl2_12
| ~ spl2_98
| ~ spl2_95
| ~ spl2_106
| ~ spl2_395
| spl2_10
| spl2_31
| spl2_26
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5080,s971,s821,s955,s5120,s954]) ).
cnf(s5130,plain,
( spl2_268
| spl2_42
| ~ spl2_236
| ~ spl2_192
| spl2_306
| spl2_155
| ~ spl2_27
| ~ spl2_30
| ~ spl2_12
| ~ spl2_98
| ~ spl2_232
| ~ spl2_95
| ~ spl2_106
| spl2_13
| spl2_109
| spl2_10
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2541,s4142,s1240,s5072,s539,s2155,s1024,s5035,s4788,s4584,s1150,s3224,s955,s3348,s2320,s1592,s4585,s1832,s4709,s1235,s4101,s2547,s5066,s4482,s899,s5080,s5063,s4373,s15,s4591,s1279,s3490,s322,s4807,s947,s449,s4402,s4051]) ).
cnf(s5131,plain,
( ~ spl2_192
| spl2_155
| ~ spl2_12
| ~ spl2_232
| ~ spl2_95
| ~ spl2_106
| ~ spl2_395
| spl2_13
| spl2_109
| spl2_10
| spl2_26
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s585,s681,s4819,s4883,s4386,s1933,s1236,s2819,s1897,s1235,s4101,s2547,s2505,s2384,s5066,s4482,s899,s5083,s955,s971,s5130,s5129,s4924,s4051,s15,s112,s4187,s1421,s319,s4104,s947,s860,s449,s4402,s5128,s5126,s933,s4807,s322,s1279,s3490,s4903,s3489,s52,s1273,s4902,s23]) ).
cnf(s5132,plain,
( ~ spl2_173
| spl2_184
| spl2_278
| ~ spl2_130
| ~ spl2_208
| spl2_13 ),
inference(rat,[],[s4646,s539,s304,s3666]) ).
cnf(s5133,plain,
( ~ spl2_12
| ~ spl2_232
| ~ spl2_95
| ~ spl2_106
| ~ spl2_395
| spl2_13
| spl2_109
| spl2_10
| ~ spl2_112
| spl2_26
| ~ spl2_9
| spl2_8
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4646,s539,s679,s4827,s1732,s1635,s4814,s681,s4883,s1552,s4787,s5132,s2505,s5066,s2062,s899,s1667,s5083,s954,s955,s1467,s3755,s1238,s5131,s449,s4402,s947,s5128,s319,s5126,s5122,s1103,s4813,s4903,s4902,s933,s1421,s52,s424,s140,s23,s3489,s15,s1279,s3490,s860,s322,s112,s4187,s4807,s1273]) ).
cnf(s5134,plain,
( ~ spl2_155
| spl2_180
| spl2_12
| ~ spl2_98
| ~ spl2_95
| ~ spl2_106
| spl2_13
| spl2_109
| spl2_10
| ~ spl2_112
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1757,s4786,s981,s788,s977,s3219,s3352,s5080,s658,s1422,s4924,s4051,s947,s449,s1238,s4480,s4590,s893,s4547,s898,s4884,s41,s3490,s743,s1687,s3489,s4813,s308,s319,s4417,s17,s937,s174]) ).
cnf(s5135,plain,
( ~ spl2_106
| spl2_13
| spl2_109
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s4914,s4350,s2393,s4321,s4787,s772,s4226,s304,s679,s3449,s2351,s5035,s4051,s449,s1238,s1625,s2066,s1467,s4584,s2797,s3827,s4385,s5134,s580,s2330,s4813,s743,s4912,s308,s1687,s319,s4417,s76,s17,s5133,s112,s4187,s4805,s4807,s4661,s860,s1,s1273,s140,s1111,s385,s1112,s174,s5118,s5054,s41,s937,s3489,s4894,s15,s1279,s3490,s453,s5006]) ).
cnf(s5136,plain,
( ~ spl2_219
| ~ spl2_98
| ~ spl2_232
| ~ spl2_27
| ~ spl2_102
| ~ spl2_75
| spl2_39
| spl2_1 ),
inference(rat,[],[s4630,s679,s1331,s4245,s3858,s2831,s4487,s453]) ).
cnf(s5137,plain,
( ~ spl2_155
| ~ spl2_188
| ~ spl2_98
| ~ spl2_130
| ~ spl2_95
| ~ spl2_27
| ~ spl2_12
| ~ spl2_102
| spl2_109
| spl2_10
| spl2_31
| ~ spl2_9 ),
inference(rat,[],[s4584,s4506,s5035,s1697,s4051,s449,s1238,s4811,s4547,s897,s3213]) ).
cnf(s5138,plain,
( ~ spl2_306
| spl2_155
| ~ spl2_185
| ~ spl2_202
| ~ spl2_326
| ~ spl2_18
| spl2_13
| spl2_109
| spl2_118 ),
inference(rat,[],[s1858,s1235,s955,s3476,s4383,s1703,s941]) ).
cnf(s5139,plain,
( ~ spl2_12
| spl2_13
| spl2_109
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s2491,s4928,s2107,s4648,s1236,s1933,s449,s4402,s5138,s5137,s4829,s3439,s4883,s2505,s5066,s899,s4636,s679,s4936,s2081,s4787,s4350,s4914,s681,s1635,s2393,s4827,s694,s4940,s539,s5136,s112,s4805,s1574,s4671,s4813,s3792,s2423,s4903,s4902,s1727,s933,s1421,s1273,s52,s140,s385,s23,s1111,s1112,s174,s5118,s5054,s3489,s15,s4591,s1279,s3490,s453,s5006,s152,s5135]) ).
cnf(s5140,plain,
( ~ spl2_107
| ~ spl2_17
| ~ spl2_77
| spl2_50
| ~ spl2_112
| spl2_116
| spl2_29 ),
inference(rat,[],[s934,s1687,s4813,s4417,s1619,s4672]) ).
cnf(s5141,plain,
( ~ spl2_155
| spl2_21
| ~ spl2_98
| ~ spl2_17
| ~ spl2_102
| ~ spl2_75
| ~ spl2_77
| spl2_50
| spl2_109
| ~ spl2_112
| ~ spl2_97
| ~ spl2_9
| spl2_39
| spl2_1 ),
inference(rat,[],[s539,s5136,s5035,s4805,s4584,s2423,s4506,s1422,s1697,s4051,s947,s449,s1238,s4480,s893,s4547,s897,s898,s4884,s1112,s174,s4813,s111,s1574,s4793]) ).
cnf(s5142,plain,
( spl2_21
| ~ spl2_98
| ~ spl2_252
| ~ spl2_17
| ~ spl2_102
| ~ spl2_75
| ~ spl2_77
| spl2_50
| spl2_109
| ~ spl2_112
| ~ spl2_97
| spl2_118
| ~ spl2_9
| ~ spl2_421
| spl2_39
| spl2_1 ),
inference(rat,[],[s5136,s4805,s539,s2423,s5035,s1422,s4051,s947,s1238,s4480,s1998,s4808,s4585,s2575,s1592,s1755,s449,s1625,s4584,s971,s3827,s5141,s1574,s4793,s453,s1,s1111,s1112,s174,s15,s1279]) ).
cnf(s5143,plain,
( spl2_13
| spl2_109
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s2384,s4819,s1958,s4950,s4787,s4663,s4484,s492,s4417,s645,s318,s1687,s3336,s308,s934,s5142,s112,s5140,s4979,s3865,s17,s5139,s4002,s152,s5135,s4591,s15,s1279,s3490,s937,s41,s453,s1273,s52,s140,s5006,s1111,s385,s5054,s174,s5118]) ).
cnf(s5144,plain,
( ~ spl2_393
| ~ spl2_105
| ~ spl2_18
| ~ spl2_133 ),
inference(rat,[],[s679,s901,s1446,s3903]) ).
cnf(s5148,plain,
( spl2_194
| ~ spl2_185
| ~ spl2_102
| spl2_103
| ~ spl2_95
| ~ spl2_107
| spl2_128
| ~ spl2_17
| spl2_118
| spl2_4 ),
inference(rat,[],[s4486,s4787,s2384,s4936,s4815,s585,s1690,s681,s3752,s4883,s4838,s2505,s1273,s52,s756]) ).
cnf(s5149,plain,
( ~ spl2_192
| spl2_286
| ~ spl2_306
| ~ spl2_273
| ~ spl2_329
| spl2_274
| ~ spl2_102
| spl2_103
| spl2_128
| ~ spl2_133
| spl2_109
| spl2_10
| spl2_26
| ~ spl2_421 ),
inference(rat,[],[s4746,s1235,s449,s3477,s1625,s4808,s4584,s971,s2575,s4830,s4592,s3318]) ).
cnf(s5150,plain,
( ~ spl2_306
| spl2_205
| ~ spl2_181
| ~ spl2_273
| ~ spl2_329
| spl2_274
| ~ spl2_102
| spl2_103
| ~ spl2_117
| spl2_128
| ~ spl2_17
| ~ spl2_133
| spl2_109
| spl2_10
| spl2_26
| ~ spl2_421 ),
inference(rat,[],[s4386,s449,s1236,s1438,s4648,s1238,s5149,s663]) ).
cnf(s5151,plain,
( ~ spl2_107
| ~ spl2_133
| ~ spl2_21
| spl2_109
| spl2_139
| ~ spl2_97
| spl2_118
| spl2_4 ),
inference(rat,[],[s3337,s947,s4966,s5150,s1689,s4936,s4787,s681,s4486,s4482,s4814,s3960,s3858,s4596,s717,s5148,s756,s645,s3336,s5144,s103,s152,s4677,s4805,s4807,s4671,s4672,s862,s4187,s1273,s385,s23,s1112,s17,s933,s52,s492,s318,s15,s67,s1111,s308]) ).
cnf(s5154,plain,
( spl2_194
| ~ spl2_217
| ~ spl2_147
| spl2_250
| ~ spl2_95
| spl2_107
| ~ spl2_133
| ~ spl2_21
| spl2_109
| spl2_4 ),
inference(rat,[],[s4382,s1236,s2384,s4602,s4815,s585,s4763,s681,s3752,s1836,s4838,s645,s3336,s1446,s3574,s4305,s2505,s1273,s17,s933,s52,s4134]) ).
cnf(s5155,plain,
( ~ spl2_362
| spl2_349
| ~ spl2_217
| ~ spl2_245
| ~ spl2_306
| ~ spl2_395
| spl2_118 ),
inference(rat,[],[s1639,s4786,s831,s2524,s2825,s4142,s821]) ).
cnf(s5156,plain,
( ~ spl2_306
| ~ spl2_232
| ~ spl2_50
| ~ spl2_95
| ~ spl2_106
| spl2_107
| ~ spl2_395
| ~ spl2_133
| ~ spl2_21
| ~ spl2_13
| spl2_109
| spl2_10
| spl2_139
| spl2_26
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5038,s5039,s4474,s5155,s5080,s4924,s679,s4648,s935,s4936,s681,s4787,s4814,s4481,s920,s1711,s4847,s1235,s4602,s2820,s2271,s4482,s899,s1236,s539,s645,s4382,s4827,s3336,s3960,s3858,s4465,s3903,s5154,s4830,s955,s4584,s4811,s970,s1625,s5061,s941,s1273,s23,s15,s67,s1346,s17,s933,s52,s112,s860,s4807]) ).
cnf(s5157,plain,
( ~ spl2_106
| ~ spl2_395
| ~ spl2_133
| ~ spl2_21
| ~ spl2_13
| spl2_109
| spl2_139
| ~ spl2_97
| spl2_118
| ~ spl2_9
| spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s449,s2397,s3205,s3206,s5156,s4805,s5115,s4661,s860,s1111,s385,s1112,s934,s17,s933,s52,s5151]) ).
cnf(s5158,plain,
( ~ spl2_174
| ~ spl2_233
| ~ spl2_102
| ~ spl2_98
| spl2_128
| spl2_123
| spl2_26
| spl2_4 ),
inference(rat,[],[s2384,s4819,s1958,s4481,s4950,s1273,s52]) ).
cnf(s5159,plain,
( spl2_194
| ~ spl2_95
| ~ spl2_185
| ~ spl2_102
| ~ spl2_98
| ~ spl2_17
| ~ spl2_9
| spl2_1 ),
inference(rat,[],[s694,s2393,s539,s3752,s4487,s4838,s2831]) ).
cnf(s5160,plain,
( spl2_147
| spl2_286
| ~ spl2_306
| ~ spl2_329
| spl2_103
| ~ spl2_98
| ~ spl2_395
| ~ spl2_133
| spl2_109
| spl2_10
| spl2_26
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1592,s2529,s5035,s4585,s1998,s4101,s4584,s971,s1238,s1235,s955,s1743,s4746,s1078,s4885,s449]) ).
cnf(s5161,plain,
( ~ spl2_306
| ~ spl2_181
| spl2_196
| ~ spl2_329
| spl2_103
| ~ spl2_102
| ~ spl2_98
| ~ spl2_395
| ~ spl2_18
| ~ spl2_17
| ~ spl2_133
| spl2_109
| spl2_10
| spl2_26
| ~ spl2_9
| ~ spl2_421
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4648,s1236,s3318,s4382,s4830,s955,s4584,s1625,s5160,s663,s941]) ).
cnf(s5162,plain,
( spl2_109
| spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s3337,s947,s4966,s5161,s4936,s4482,s3960,s3858,s4596,s5159,s4677,s4805,s4663,s4026,s4787,s5158,s645,s3336,s5144,s4002,s103,s152,s5157,s112,s5151,s492,s318,s4894,s1346,s15,s17,s1687,s67,s308,s933,s934,s4750,s5143,s453,s1273,s52,s140,s5006,s1111,s385,s2413,s1112,s174,s5118,s5054]) ).
cnf(s5163,plain,
( spl2_21
| ~ spl2_109
| spl2_22
| spl2_118
| ~ spl2_9
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1067,s1102,s1225,s4793,s1279,s3490,s4750]) ).
cnf(s5164,plain,
( spl2_8
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s4584,s1625,s4830,s4885,s947,s1422,s3318,s3792,s152,s4417,s1386,s1743,s936,s1065,s1223,s360,s363,s1346,s1066,s1182,s1049,s17,s1687,s308,s933,s934,s5163,s5162,s1112,s2413,s174,s5118,s385,s5054,s140,s5006,s453,s1273,s52]) ).
cnf(s5165,plain,
( spl2_9
| spl2_28
| spl2_97
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s3048,s5114,s4972,s5026,s4956,s4982,s3490,s4743,s1420,s4131,s3,s5164,s1,s4751,s4367,s453]) ).
cnf(s5166,plain,
( spl2_106
| ~ spl2_8
| spl2_1 ),
inference(rat,[],[s4002,s3035,s152,s453]) ).
cnf(s5167,plain,
( spl2_97
| spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s5114,s3048,s5026,s397,s4982,s5165,s4743,s322,s4751,s1420,s4131,s3,s1,s453,s5166,s5164]) ).
cnf(s5168,plain,
( spl2_4
| spl2_39
| spl2_1 ),
inference(rat,[],[s938,s312,s112,s3566,s1315,s1573,s4177,s745,s4016,s4807,s4135,s1279,s4661,s860,s1112,s4882,s385,s1111,s5167,s943,s5166,s4131,s3,s5164,s1273,s453,s1]) ).
cnf(s5169,plain,
( spl2_159
| ~ spl2_27
| ~ spl2_116
| spl2_118
| ~ spl2_111
| ~ spl2_212
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s953,s4848,s897,s513,s4644,s1227]) ).
cnf(s5170,plain,
( ~ spl2_188
| ~ spl2_15
| ~ spl2_208
| spl2_10
| ~ spl2_133
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s4479,s4787,s3209,s1859,s3666,s2248,s4827,s4593]) ).
cnf(s5171,plain,
( ~ spl2_107
| ~ spl2_208
| spl2_10
| ~ spl2_133
| ~ spl2_128
| ~ spl2_30
| spl2_197
| ~ spl2_116
| spl2_118
| spl2_109
| ~ spl2_114
| spl2_31
| ~ spl2_23 ),
inference(rat,[],[s681,s3241,s4814,s2393,s717,s674,s2505,s721,s539,s5170,s16,s318,s1377,s398,s492]) ).
cnf(s5172,plain,
( spl2_13
| ~ spl2_30
| ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s681,s3241,s2764,s2393,s4596,s674,s2505,s721,s539,s5170,s16,s4366,s4134,s860,s5171,s4807,s748,s1110,s5169,s4966,s3567,s1315,s4747,s4793,s4288,s3490,s886,s1294,s943,s312,s107,s398,s254,s642,s4751,s5114]) ).
cnf(s5173,plain,
( spl2_241
| spl2_198
| ~ spl2_273
| spl2_155
| spl2_179
| ~ spl2_24
| ~ spl2_117
| ~ spl2_208
| ~ spl2_12
| spl2_118
| spl2_109
| spl2_112 ),
inference(rat,[],[s2171,s1518,s1235,s449,s4762,s1438,s688,s1238,s953,s3247,s312,s107]) ).
cnf(s5174,plain,
( ~ spl2_241
| ~ spl2_159
| ~ spl2_278
| spl2_194
| ~ spl2_24
| ~ spl2_15
| ~ spl2_133
| spl2_109 ),
inference(rat,[],[s2819,s1236,s1897,s3192,s1235,s4374,s947,s1139,s1038]) ).
cnf(s5175,plain,
( ~ spl2_27
| ~ spl2_278
| spl2_194
| ~ spl2_219
| ~ spl2_24
| ~ spl2_15
| ~ spl2_117
| ~ spl2_133
| ~ spl2_208
| spl2_421
| ~ spl2_22
| ~ spl2_30
| ~ spl2_12
| spl2_197
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| spl2_139
| ~ spl2_212
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1235,s512,s1832,s745,s4585,s903,s657,s4848,s5173,s953,s5174,s3439,s3108,s681,s4410,s3209,s3697,s679,s3011,s772,s5169,s107,s2505,s2393,s2109]) ).
cnf(s5176,plain,
( ~ spl2_155
| ~ spl2_205
| spl2_188
| ~ spl2_22
| ~ spl2_12
| spl2_109
| spl2_31
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1235,s969,s4101,s4826,s2529,s4644,s1592,s4811,s3011,s3213,s1421]) ).
cnf(s5177,plain,
( ~ spl2_237
| ~ spl2_196
| spl2_187
| spl2_155
| ~ spl2_25
| spl2_197
| ~ spl2_116
| spl2_109
| spl2_139
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1832,s4585,s1235,s4644,s512,s513,s657,s4848]) ).
cnf(s5178,plain,
( ~ spl2_241
| ~ spl2_278
| spl2_194
| ~ spl2_24
| ~ spl2_15
| ~ spl2_133
| spl2_109
| ~ spl2_212 ),
inference(rat,[],[s5174,s1227]) ).
cnf(s5179,plain,
( spl2_187
| ~ spl2_237
| spl2_155
| ~ spl2_25
| ~ spl2_219
| spl2_421
| spl2_197
| ~ spl2_116
| spl2_109
| spl2_139
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3439,s3108,s5177,s681]) ).
cnf(s5180,plain,
( ~ spl2_187
| ~ spl2_117
| ~ spl2_133
| ~ spl2_12
| spl2_197
| ~ spl2_114
| spl2_31 ),
inference(rat,[],[s4479,s3209,s1732,s691,s4410,s4814,s4902]) ).
cnf(s5181,plain,
( ~ spl2_15
| ~ spl2_117
| ~ spl2_133
| ~ spl2_208
| spl2_421
| spl2_10
| ~ spl2_22
| ~ spl2_12
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| spl2_139
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5179,s953,s4903,s5178,s5175,s3698,s5176,s718,s674,s1171,s2393,s3241,s539,s4593,s5170,s886,s107,s4902,s681,s5180,s254,s642,s5114,s312,s1294,s4751]) ).
cnf(s5182,plain,
( ~ spl2_42
| ~ spl2_133
| ~ spl2_22
| ~ spl2_13
| ~ spl2_12
| ~ spl2_116
| spl2_118
| ~ spl2_111
| ~ spl2_106
| ~ spl2_212
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1038,s953,s2322,s1551,s4585,s4584,s971,s955,s954,s3011,s5169,s4903,s2234,s2236,s2557,s1885,s1421]) ).
cnf(s5183,plain,
( ~ spl2_12
| ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s681,s3241,s2764,s2393,s4596,s674,s2505,s4305,s4671,s2546,s539,s5181,s5170,s16,s4130,s5182,s4014,s4807,s4901,s860,s1885,s4750,s2557,s5172,s4902,s1421,s886,s322,s1294,s943,s312,s107,s398,s254,s642,s4751,s5114]) ).
cnf(s5184,plain,
( spl2_13
| ~ spl2_10
| ~ spl2_388
| ~ spl2_116
| spl2_21
| spl2_118
| ~ spl2_111
| spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s748,s5169,s4966,s4793,s3567,s3490,s886]) ).
cnf(s5185,plain,
( ~ spl2_10
| ~ spl2_133
| ~ spl2_17
| spl2_186
| ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| ~ spl2_111
| spl2_31
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s5003,s4997,s2234,s4134,s718,s4735,s3080,s4130,s4366,s4894,s663,s4999,s15,s947,s645,s1420,s1422,s3797,s4474,s1885,s2557,s5184,s453,s5168,s1315]) ).
cnf(s5186,plain,
( spl2_13
| ~ spl2_208
| spl2_10
| ~ spl2_133
| ~ spl2_17
| ~ spl2_116
| spl2_118
| spl2_28
| spl2_112
| spl2_139
| spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4028,s4645,s4484,s2393,s3960,s674,s2505,s721,s539,s5170,s16,s3080,s4288,s937,s312,s254,s642,s4751,s5114]) ).
cnf(s5187,plain,
( ~ spl2_159
| spl2_241
| ~ spl2_117
| ~ spl2_15
| ~ spl2_22
| ~ spl2_17
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| spl2_139 ),
inference(rat,[],[s2397,s665,s449,s4374,s1438,s657,s1238,s953,s3247,s3011,s312,s107]) ).
cnf(s5188,plain,
( spl2_194
| ~ spl2_107
| ~ spl2_219
| ~ spl2_24
| ~ spl2_15
| spl2_132
| ~ spl2_13
| spl2_421
| ~ spl2_133
| spl2_12
| ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| spl2_112
| spl2_139
| ~ spl2_103
| spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s3475,s4786,s2634,s788,s977,s2336,s1240,s2673,s2674,s1237,s2216,s831,s4996,s3108,s3449,s4664,s681,s679,s947,s691,s766,s931,s1433,s2519,s1236,s589,s4923,s3537,s1235,s1238,s955,s969,s4836,s3338,s4826,s658,s4884,s953,s4848,s513,s3588,s4644,s5187,s2393,s5178,s2109,s3698,s2505,s3550,s886,s312,s107,s4179,s567,s1360,s254,s642,s5114,s17,s4750,s1420,s4671,s1294]) ).
cnf(s5189,plain,
( ~ spl2_194
| ~ spl2_219
| spl2_132
| ~ spl2_116
| ~ spl2_103
| ~ spl2_23 ),
inference(rat,[],[s681,s3241,s2764,s2393,s4596,s718]) ).
cnf(s5190,plain,
( ~ spl2_15
| spl2_132
| ~ spl2_208
| spl2_421
| spl2_10
| ~ spl2_133
| spl2_12
| ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| spl2_112
| spl2_139
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4305,s5188,s2505,s5189,s2546,s539,s4593,s5170,s4751,s312,s5186,s17,s398]) ).
cnf(s5191,plain,
( ~ spl2_133
| ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1038,s953,s2322,s1551,s4585,s4584,s971,s3827,s3011,s5169,s4793,s745,s3085,s15,s5190,s860,s4750,s2557,s5186,s4807,s4901,s5185,s1,s886,s322,s1294,s943,s107,s398,s1360,s642,s4751,s5114,s17,s5183,s4764,s5168,s453]) ).
cnf(s5192,plain,
( ~ spl2_116
| spl2_21
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1885,s4593,s1420,s16,s3085,s3490,s745,s1593,s4747,s319,s5191,s17,s5183,s453,s4764,s5168,s398]) ).
cnf(s5193,plain,
( spl2_21
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s861,s688,s1238,s953,s3247,s897,s4793,s4644,s1227,s3490,s1110,s2557,s4677,s4661,s5192,s5168,s886,s4751,s4367,s453,s312,s107]) ).
cnf(s5194,plain,
( spl2_13
| ~ spl2_116
| spl2_120
| ~ spl2_21
| spl2_118
| spl2_109
| spl2_112
| spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s969,s1235,s4826,s4644,s2513,s953,s674,s1110,s4832,s665,s1038,s4484,s67,s1420,s947,s645,s16,s17,s3337,s3336,s318,s933,s4966,s4964,s492,s1170,s3567,s4288,s3490,s937,s107,s398,s319,s1239,s254,s642,s4751,s5114]) ).
cnf(s5195,plain,
( ~ spl2_10
| spl2_286
| ~ spl2_50
| ~ spl2_306
| spl2_29
| ~ spl2_107
| ~ spl2_395
| ~ spl2_18
| ~ spl2_13
| spl2_186
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_31
| spl2_97
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5003,s718,s4999,s645,s4997,s4735,s3797,s4474,s1885,s2557]) ).
cnf(s5196,plain,
( ~ spl2_188
| spl2_194
| ~ spl2_208
| ~ spl2_133
| ~ spl2_21
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s3663,s4864,s645,s4787,s3336,s3666,s1318]) ).
cnf(s5197,plain,
( ~ spl2_278
| ~ spl2_50
| ~ spl2_77
| spl2_29
| ~ spl2_18
| ~ spl2_4 ),
inference(rat,[],[s935,s681,s679,s4815,s4850,s3797,s903,s645,s899,s2109]) ).
cnf(s5198,plain,
( spl2_194
| spl2_278
| ~ spl2_208
| ~ spl2_133
| ~ spl2_21
| spl2_118
| ~ spl2_114
| spl2_97 ),
inference(rat,[],[s539,s3698,s5196,s2505]) ).
cnf(s5199,plain,
( ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s539,s4827,s5189,s4465,s5198,s5197,s4807,s5195,s663,s3080,s947,s17,s3337,s933,s745,s4966,s2234,s2236,s4134,s4130,s4366,s4894,s15,s860,s67,s2557,s5194,s1360,s642,s4764,s5168,s1294,s4751,s453,s312,s5114,s319,s308,s5193,s943]) ).
cnf(s5200,plain,
( spl2_118
| spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s3431,s3865,s112,s933,s4672,s1170,s3490,s2557,s4661,s5199,s5193,s886,s4367,s453,s312]) ).
cnf(s5201,plain,
( spl2_109
| spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s3476,s679,s898,s772,s4903,s3865,s3431,s112,s513,s1705,s4672,s4644,s1592,s3489,s1171,s1110,s2557,s2393,s1235,s4661,s4645,s4780,s4772,s3058,s5200,s5168,s886,s4367,s322,s4751,s453,s312]) ).
cnf(s5202,plain,
( spl2_112
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1065,s1067,s1045,s5201,s5114]) ).
cnf(s5203,plain,
( spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_27
| spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s969,s1235,s4812,s2513,s3701,s4832,s4644,s1592,s665,s674,s1110,s947,s4484,s67,s3337,s645,s16,s250,s4966,s3336,s3080,s76,s1717,s3567,s4979,s17,s3291,s1315,s4903,s4793,s4747,s1170,s3489,s3490,s937,s41,s398,s642,s4751]) ).
cnf(s5204,plain,
( ~ spl2_10
| ~ spl2_50
| ~ spl2_306
| spl2_12
| spl2_29
| ~ spl2_107
| ~ spl2_395
| ~ spl2_18
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_31
| spl2_97
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s280,s4738,s5195,s1885,s663,s17,s54]) ).
cnf(s5205,plain,
( spl2_362
| ~ spl2_345
| spl2_360
| spl2_20
| ~ spl2_77
| ~ spl2_13
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4635,s4854,s4451,s2324,s4748]) ).
cnf(s5206,plain,
( spl2_353
| spl2_360
| spl2_20
| ~ spl2_245
| ~ spl2_273
| ~ spl2_217
| ~ spl2_185
| ~ spl2_326
| ~ spl2_50
| ~ spl2_306
| ~ spl2_77
| ~ spl2_395
| ~ spl2_13
| spl2_118
| spl2_109
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1240,s2543,s4571,s4076,s5155,s5205,s977,s2396,s831]) ).
cnf(s5207,plain,
( spl2_20
| ~ spl2_273
| ~ spl2_217
| ~ spl2_396
| ~ spl2_185
| ~ spl2_326
| spl2_250
| ~ spl2_50
| ~ spl2_306
| ~ spl2_42
| ~ spl2_395
| spl2_132
| ~ spl2_13
| spl2_118
| spl2_109
| spl2_31
| ~ spl2_103
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2324,s4854,s2514,s3475,s4788,s2499,s4786,s4718,s4306,s1639,s4639,s3313,s5206,s5038,s2557,s745,s2236,s4811,s449,s1078]) ).
cnf(s5208,plain,
( spl2_153
| ~ spl2_320
| spl2_274
| ~ spl2_185
| ~ spl2_326
| spl2_393
| ~ spl2_321
| spl2_10
| spl2_250
| ~ spl2_50
| ~ spl2_306
| ~ spl2_107
| ~ spl2_42
| ~ spl2_395
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| ~ spl2_106
| ~ spl2_103
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4788,s1023,s3334,s1762,s2499,s1240,s4320,s2663,s4571,s4846,s4877,s5155,s4474,s5207,s4811,s449,s4924,s1078,s681,s1238,s955,s1710,s4836,s1858,s4709,s895,s2819,s1235,s1236,s2513,s3554,s4832,s3155,s4848,s3588,s513,s1294,s943,s398,s860,s2557,s4807]) ).
cnf(s5209,plain,
( ~ spl2_237
| spl2_10
| ~ spl2_306
| ~ spl2_107
| ~ spl2_395
| spl2_31
| ~ spl2_106 ),
inference(rat,[],[s1078,s955,s449,s4584,s4811,s1551,s548]) ).
cnf(s5210,plain,
( ~ spl2_188
| spl2_10
| ~ spl2_17
| ~ spl2_107
| ~ spl2_42
| ~ spl2_395
| ~ spl2_21
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| ~ spl2_106
| ~ spl2_103
| ~ spl2_212
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2107,s1236,s4644,s4829,s3554,s5208,s3749,s4838,s756,s2505,s645,s4465,s3336,s4827,s4940,s1318,s3080,s941,s15,s67,s2557,s3155,s5209,s947,s3337,s4966,s1294,s943,s398]) ).
cnf(s5211,plain,
( ~ spl2_116
| spl2_118
| spl2_109
| ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s2505,s3698,s5189,s539,s5210,s5204,s5197,s3080,s947,s17,s3337,s4903,s745,s4966,s2234,s2236,s4134,s4130,s4366,s4894,s15,s1687,s67,s934,s4813,s860,s1877,s2557,s5203,s4764,s5168,s886,s1294,s943,s1574,s5202,s4751,s453]) ).
cnf(s5212,plain,
( spl2_116
| ~ spl2_112
| ~ spl2_106
| spl2_95
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s3080,s15,s17,s937,s1420,s1421,s2557,s3792,s4661]) ).
cnf(s5213,plain,
( ~ spl2_106
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s358,s5211,s4772,s5212,s1574,s5202,s322,s5168,s4751,s4367,s453]) ).
cnf(s5214,plain,
( spl2_13
| ~ spl2_116
| spl2_42
| spl2_97
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1315,s4747,s3567,s3490]) ).
cnf(s5215,plain,
( ~ spl2_188
| ~ spl2_404
| ~ spl2_239
| ~ spl2_153
| ~ spl2_273
| ~ spl2_24
| spl2_10
| spl2_109
| ~ spl2_23 ),
inference(rat,[],[s1235,s3473,s1987,s2248,s4827]) ).
cnf(s5217,plain,
( ~ spl2_350
| ~ spl2_362
| ~ spl2_274
| spl2_198
| spl2_128
| ~ spl2_321
| spl2_179
| ~ spl2_404
| ~ spl2_267
| ~ spl2_22
| spl2_118
| spl2_109
| spl2_186
| ~ spl2_114
| ~ spl2_102 ),
inference(rat,[],[s4619,s1714,s2634,s1240,s4741,s2673,s2129,s2674,s4788,s1237,s3327,s2216]) ).
cnf(s5218,plain,
( ~ spl2_353
| spl2_198
| ~ spl2_321
| spl2_179
| ~ spl2_12
| spl2_109
| spl2_186
| ~ spl2_114
| ~ spl2_117
| spl2_31 ),
inference(rat,[],[s1714,s4619,s1240,s1730,s2673,s833,s4639,s1337]) ).
cnf(s5219,plain,
( ~ spl2_77
| ~ spl2_350
| spl2_198
| ~ spl2_321
| ~ spl2_219
| ~ spl2_404
| ~ spl2_267
| ~ spl2_273
| ~ spl2_22
| spl2_10
| ~ spl2_15
| spl2_118
| spl2_109
| spl2_186
| ~ spl2_111
| ~ spl2_114
| spl2_139
| ~ spl2_102
| ~ spl2_23 ),
inference(rat,[],[s1542,s1714,s977,s1240,s4452,s4451,s2673,s2919,s2674,s1723,s4748,s1237,s5217,s2216,s3108,s4901,s1279,s1420,s4593,s3241,s721]) ).
cnf(s5220,plain,
( ~ spl2_306
| spl2_155
| spl2_132
| ~ spl2_12
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_186
| spl2_197
| ~ spl2_111
| ~ spl2_114
| ~ spl2_117
| spl2_139
| ~ spl2_233
| ~ spl2_102
| ~ spl2_103
| spl2_97
| ~ spl2_23 ),
inference(rat,[],[s3798,s5219,s831,s5218,s2171,s1235,s500,s4755,s4787,s2505,s3241,s3012,s5189,s539,s5215,s4885,s449,s513,s4836,s1438,s657,s4848,s1238,s953,s5008,s1038,s4750,s67,s2557,s4593,s1885,s1420,s16,s4130,s4063,s398,s681,s5180,s1294]) ).
cnf(s5221,plain,
( spl2_362
| ~ spl2_177
| ~ spl2_350
| ~ spl2_77
| ~ spl2_217
| ~ spl2_24
| ~ spl2_116
| spl2_118
| spl2_186
| spl2_97
| ~ spl2_23 ),
inference(rat,[],[s1148,s4786,s4761,s1149,s843,s2784,s1769,s821,s2919,s2206,s1723,s4748]) ).
cnf(s5222,plain,
( spl2_353
| ~ spl2_286
| ~ spl2_181
| ~ spl2_77
| ~ spl2_323
| ~ spl2_185
| ~ spl2_326
| ~ spl2_217
| ~ spl2_273
| ~ spl2_24
| ~ spl2_133
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_186
| ~ spl2_102
| spl2_97
| ~ spl2_23 ),
inference(rat,[],[s3321,s4142,s2663,s4571,s3429,s1240,s1237,s2543,s2492,s4076,s5221,s4788,s2210,s831]) ).
cnf(s5223,plain,
( ~ spl2_188
| ~ spl2_217
| ~ spl2_239
| ~ spl2_268
| ~ spl2_12
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_186
| spl2_197
| spl2_112
| ~ spl2_117
| spl2_31
| ~ spl2_102
| spl2_97
| ~ spl2_23 ),
inference(rat,[],[s1240,s4620,s4571,s2771,s4142,s1723,s3321,s1730,s3995,s833,s4639,s5222,s4386,s4936,s674,s4932,s4787,s3697,s1933,s4479,s679,s1236,s3020,s3209,s4226,s2819,s2248,s4827,s3198,s4940,s1318,s67,s2557,s4593,s1885,s1420,s16,s4130,s4063,s398,s4902,s681,s5180,s312]) ).
cnf(s5224,plain,
( ~ spl2_159
| spl2_132
| ~ spl2_12
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_186
| spl2_197
| spl2_112
| ~ spl2_117
| spl2_139
| ~ spl2_233
| ~ spl2_102
| ~ spl2_103
| spl2_97
| ~ spl2_23 ),
inference(rat,[],[s3698,s5174,s2505,s5189,s539,s5223,s953,s955,s449,s657,s2443,s4402,s4374,s5220,s3011,s107,s4750,s67,s2557,s4593,s1885,s1420,s16,s4130,s4063,s312,s398,s4902,s1294]) ).
cnf(s5225,plain,
( spl2_159
| ~ spl2_15
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_102
| ~ spl2_103
| spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4826,s953,s493,s4848,s1238,s513,s5008,s4644,s1227,s886,s312,s107,s1420,s67,s2557]) ).
cnf(s5226,plain,
( ~ spl2_12
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_107
| ~ spl2_233
| ~ spl2_102
| ~ spl2_103
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s947,s1038,s1433,s953,s5177,s1556,s4645,s513,s745,s2393,s1169,s1170,s1171,s862,s5224,s5180,s3550,s627,s1362,s107,s641,s4671,s1294,s173,s1392,s4593,s1885,s1420,s3011,s5225,s4750,s67,s16,s4130,s4063,s312,s398,s2557]) ).
cnf(s5227,plain,
( ~ spl2_188
| spl2_50
| ~ spl2_17
| ~ spl2_24
| spl2_21
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_197
| spl2_112 ),
inference(rat,[],[s674,s3697,s679,s4484,s3209,s4226,s2248,s3198]) ).
cnf(s5228,plain,
( ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_107
| ~ spl2_233
| spl2_106
| ~ spl2_103
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s3698,s5174,s2505,s5189,s539,s5227,s2397,s449,s970,s4374,s1038,s862,s5187,s2801,s17,s5226,s3011,s5225,s4593,s4750,s1885,s67,s1420,s16,s4130,s429,s4063,s152,s627,s107,s312,s641,s4671,s1294,s173,s1392,s398,s2557]) ).
cnf(s5229,plain,
( ~ spl2_188
| ~ spl2_154
| ~ spl2_24
| ~ spl2_241
| ~ spl2_17
| ~ spl2_25
| spl2_21
| ~ spl2_13
| ~ spl2_116
| spl2_109
| spl2_31
| ~ spl2_107 ),
inference(rat,[],[s969,s1235,s2393,s1139,s4916,s5016,s756,s4226,s2248,s3198,s49]) ).
cnf(s5230,plain,
( spl2_286
| ~ spl2_24
| ~ spl2_241
| ~ spl2_159
| ~ spl2_17
| spl2_21
| spl2_77
| ~ spl2_13
| ~ spl2_116
| spl2_118
| spl2_109
| ~ spl2_107
| ~ spl2_127
| ~ spl2_103
| ~ spl2_23 ),
inference(rat,[],[s1832,s1331,s1235,s3581,s1139,s2505,s5189,s539,s5229,s4585,s862,s4812,s970,s1169,s449,s513,s3798,s4756,s1294,s173,s745,s3011,s4750]) ).
cnf(s5231,plain,
( ~ spl2_188
| ~ spl2_268
| ~ spl2_24
| ~ spl2_48
| spl2_21
| ~ spl2_13
| ~ spl2_116
| spl2_109
| ~ spl2_111
| spl2_31
| ~ spl2_107 ),
inference(rat,[],[s1511,s3208,s679,s1236,s5016,s4226,s2819,s2248,s3198,s1318,s3155,s657,s173,s398]) ).
cnf(s5232,plain,
( ~ spl2_116
| spl2_118
| spl2_109
| spl2_112
| ~ spl2_233
| spl2_106
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1236,s2819,s3192,s1897,s3698,s1235,s2505,s589,s5189,s539,s5231,s862,s1169,s513,s1556,s1433,s657,s4374,s947,s663,s5230,s4593,s5187,s1885,s5225,s1420,s16,s49,s3042,s17,s4902,s4750,s745,s1377,s308,s4747,s319,s5228,s5214,s3550,s4754,s4671,s1294,s173,s4751,s112,s2827,s4004,s107,s4063,s312,s152,s398]) ).
cnf(s5233,plain,
( ~ spl2_12
| ~ spl2_196
| ~ spl2_13
| spl2_116
| spl2_118
| spl2_28
| spl2_197
| spl2_42
| ~ spl2_114
| spl2_31
| ~ spl2_107
| spl2_95
| spl2_97
| ~ spl2_23 ),
inference(rat,[],[s4479,s4787,s3209,s4663,s2248,s1318,s3117,s539,s4750,s3241,s4593,s67,s681,s16,s5180,s4130,s319,s1377,s1885,s4902,s1421,s4671,s2393,s1171,s4672,s2557]) ).
cnf(s5234,plain,
( spl2_118
| spl2_109
| spl2_112
| ~ spl2_233
| spl2_106
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4639,s4718,s831,s4788,s449,s2632,s3254,s606,s977,s3011,s3435,s4750,s67,s16,s3042,s1285,s17,s5233,s4644,s2165,s2557,s4645,s1769,s513,s3490,s745,s2393,s1168,s1169,s1170,s1171,s4672,s5232,s4367,s4063,s627,s107,s312,s641,s4671,s1294,s173,s4751,s112,s2827,s152,s4004,s1392,s398]) ).
cnf(s5235,plain,
( ~ spl2_118
| spl2_152
| spl2_8 ),
inference(rat,[],[s4776,s4784]) ).
cnf(s5236,plain,
( spl2_112
| spl2_118
| ~ spl2_233
| spl2_106
| spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1065,s1067,s1045,s5234,s5114]) ).
cnf(s5239,plain,
( ~ spl2_306
| ~ spl2_202
| ~ spl2_185
| ~ spl2_326
| spl2_77
| ~ spl2_130
| spl2_21
| ~ spl2_133
| ~ spl2_13
| spl2_109
| ~ spl2_17
| spl2_118
| ~ spl2_117
| ~ spl2_102 ),
inference(rat,[],[s3476,s1235,s4884,s1858,s3338,s4830,s3318,s1238,s5030,s1703,s663]) ).
cnf(s5240,plain,
( ~ spl2_155
| spl2_157
| ~ spl2_22
| ~ spl2_130
| spl2_109
| ~ spl2_102
| spl2_97 ),
inference(rat,[],[s3316,s1238,s4531,s4547]) ).
cnf(s5241,plain,
( spl2_362
| ~ spl2_177
| ~ spl2_350
| ~ spl2_217
| spl2_186
| ~ spl2_24
| ~ spl2_15
| ~ spl2_116
| spl2_118
| spl2_97
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4786,s1148,s1149,s4761,s1024,s843,s3160,s1769,s2353,s821,s2919,s3176,s2206,s1723]) ).
cnf(s5242,plain,
( spl2_353
| ~ spl2_156
| ~ spl2_286
| ~ spl2_240
| ~ spl2_217
| spl2_186
| ~ spl2_24
| ~ spl2_48
| spl2_77
| ~ spl2_15
| ~ spl2_116
| ~ spl2_17
| spl2_118
| spl2_97
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4451,s1640,s977,s4786,s3170,s4316,s1637,s2822,s3323,s5241,s4788,s2210,s831,s1420]) ).
cnf(s5243,plain,
( ~ spl2_353
| ~ spl2_195
| ~ spl2_187
| spl2_186
| spl2_132
| spl2_109
| ~ spl2_117
| spl2_31
| ~ spl2_103 ),
inference(rat,[],[s3569,s1237,s2499,s1684,s4306,s833,s4639,s3313]) ).
cnf(s5244,plain,
( ~ spl2_239
| spl2_353
| spl2_155
| ~ spl2_217
| ~ spl2_149
| spl2_186
| ~ spl2_24
| ~ spl2_48
| spl2_77
| ~ spl2_15
| ~ spl2_116
| ~ spl2_17
| spl2_118
| spl2_97
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s5242,s513,s3798,s1957,s446]) ).
cnf(s5245,plain,
( ~ spl2_188
| spl2_186
| spl2_197
| spl2_77
| ~ spl2_130
| ~ spl2_25
| ~ spl2_15
| spl2_29
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| spl2_109
| ~ spl2_17
| spl2_118
| ~ spl2_102
| ~ spl2_127
| ~ spl2_103
| spl2_97
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s544,s1592,s548,s4374,s4811,s970,s449,s5244,s5243,s5240,s955,s2443,s947,s5239,s4864,s691,s681,s3218,s679,s5016,s756,s4226,s2248,s4827,s3198,s4671,s1294,s173,s862,s112,s2827,s4004,s4750,s67,s2557,s49,s4593,s1885,s1420]) ).
cnf(s5246,plain,
( spl2_366
| spl2_128
| spl2_180
| ~ spl2_22
| ~ spl2_130
| ~ spl2_102 ),
inference(rat,[],[s4741,s2663,s2634,s2681,s977]) ).
cnf(s5247,plain,
( ~ spl2_350
| ~ spl2_366
| ~ spl2_392
| ~ spl2_274
| ~ spl2_182
| spl2_109 ),
inference(rat,[],[s2672,s2674,s1240,s1237,s2336,s2216]) ).
cnf(s5248,plain,
( spl2_286
| ~ spl2_377
| ~ spl2_378
| ~ spl2_366
| spl2_128
| spl2_77
| ~ spl2_22
| ~ spl2_130
| spl2_109
| spl2_118
| ~ spl2_117
| ~ spl2_102 ),
inference(rat,[],[s3254,s4788,s2163,s4718,s449,s3798,s3011,s4592,s1238,s5030]) ).
cnf(s5249,plain,
( ~ spl2_15
| spl2_29
| ~ spl2_133
| ~ spl2_13
| ~ spl2_116
| ~ spl2_112
| spl2_118
| ~ spl2_102
| ~ spl2_127
| ~ spl2_103
| spl2_97
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s2819,s1236,s1897,s3192,s1235,s4374,s947,s2171,s730,s663,s5248,s833,s4639,s831,s5247,s5246,s3449,s3240,s679,s681,s4936,s3117,s691,s4787,s1690,s1331,s765,s2109,s3581,s721,s3698,s2505,s5189,s539,s5245,s574,s288,s628,s636,s4593,s1285,s4793,s4750,s4813,s1885,s3882,s67,s1420,s1574,s17,s347,s1727,s4671,s1294,s173,s2557,s862,s112,s2827,s4004]) ).
cnf(s5250,plain,
( ~ spl2_362
| ~ spl2_404
| ~ spl2_157
| ~ spl2_350
| spl2_10
| ~ spl2_395
| spl2_118 ),
inference(rat,[],[s4846,s2134,s821,s4788,s2825,s3327]) ).
cnf(s5251,plain,
( spl2_362
| ~ spl2_345
| ~ spl2_77
| ~ spl2_42
| ~ spl2_13
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s5038,s5205,s4474,s2557]) ).
cnf(s5252,plain,
( ~ spl2_157
| ~ spl2_362
| ~ spl2_350
| ~ spl2_321
| ~ spl2_326
| ~ spl2_185
| spl2_10
| ~ spl2_306
| ~ spl2_395
| spl2_109
| spl2_118
| spl2_31
| ~ spl2_107 ),
inference(rat,[],[s548,s4832,s4811,s2513,s4885,s1235,s5250,s1858]) ).
cnf(s5253,plain,
( spl2_157
| ~ spl2_306
| ~ spl2_395
| ~ spl2_133
| spl2_109
| ~ spl2_117
| ~ spl2_102 ),
inference(rat,[],[s1438,s1238,s449,s3318,s1078,s4830,s955]) ).
cnf(s5254,plain,
( spl2_194
| ~ spl2_326
| ~ spl2_157
| spl2_197
| spl2_186
| spl2_274
| ~ spl2_185
| spl2_10
| ~ spl2_306
| ~ spl2_77
| ~ spl2_50
| ~ spl2_42
| ~ spl2_395
| spl2_132
| ~ spl2_13
| ~ spl2_116
| spl2_109
| spl2_118
| ~ spl2_107
| ~ spl2_103
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s5251,s977,s5252,s2396,s831,s5243,s4864,s691,s681,s3477,s4848,s4832,s2513,s2505,s4671,s1294,s173,s1235,s1858]) ).
cnf(s5255,plain,
( spl2_353
| ~ spl2_273
| ~ spl2_326
| ~ spl2_185
| ~ spl2_77
| ~ spl2_50
| ~ spl2_42
| ~ spl2_395
| ~ spl2_13
| spl2_109
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4571,s1240,s821,s2543,s2825,s4076,s5251,s977,s2396,s831]) ).
cnf(s5256,plain,
( ~ spl2_188
| ~ spl2_157
| spl2_197
| spl2_186
| spl2_274
| ~ spl2_185
| spl2_10
| spl2_286
| ~ spl2_306
| ~ spl2_77
| ~ spl2_50
| ~ spl2_42
| ~ spl2_395
| spl2_132
| ~ spl2_13
| ~ spl2_116
| spl2_109
| spl2_118
| ~ spl2_107
| ~ spl2_103
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s5002,s3546,s833,s4639,s5255,s1238,s3477,s1438,s681,s449,s2764,s4386,s4596,s718,s5254,s1236,s1235,s1853,s1858,s4827,s4671,s1294,s173,s2557,s4584]) ).
cnf(s5257,plain,
( ~ spl2_133
| ~ spl2_116
| spl2_118
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s2505,s3698,s5189,s539,s5256,s5253,s253,s279,s756,s492,s645,s318,s5204,s663,s3336,s308,s947,s5197,s4793,s741,s745,s4966,s3085,s3080,s5144,s4130,s4894,s15,s5249,s862,s2801,s429,s3550,s4754,s103,s641,s17,s5203,s347,s1727,s4671,s1294,s173,s112,s2827,s4004,s1574,s5236,s4002,s152,s5213,s4764,s4751,s5168,s453]) ).
cnf(s5258,plain,
( spl2_155
| ~ spl2_198
| spl2_275
| spl2_211
| spl2_286
| ~ spl2_25
| spl2_109
| spl2_118 ),
inference(rat,[],[s931,s1236,s513,s4279,s4756]) ).
cnf(s5259,plain,
( ~ spl2_155
| ~ spl2_130
| spl2_21
| ~ spl2_13
| spl2_109
| ~ spl2_102
| spl2_97 ),
inference(rat,[],[s3338,s5240,s4884,s4750]) ).
cnf(s5260,plain,
( ~ spl2_188
| ~ spl2_306
| spl2_155
| ~ spl2_24
| ~ spl2_25
| spl2_21
| ~ spl2_13
| spl2_109
| ~ spl2_17
| spl2_118 ),
inference(rat,[],[s4896,s5258,s4916,s1703,s756,s4226,s2248,s3198,s2557,s663]) ).
cnf(s5261,plain,
( ~ spl2_306
| spl2_132
| ~ spl2_130
| ~ spl2_25
| spl2_21
| spl2_77
| ~ spl2_13
| ~ spl2_116
| spl2_12
| spl2_118
| ~ spl2_107
| ~ spl2_102
| ~ spl2_103
| spl2_97
| ~ spl2_23
| ~ spl2_4 ),
inference(rat,[],[s5248,s833,s4639,s831,s5247,s3240,s3449,s681,s304,s4936,s691,s4787,s1690,s5246,s765,s2109,s721,s3698,s2505,s5189,s539,s5260,s663,s2056,s4671,s1294,s173,s4750,s628,s288,s574,s636,s4593,s1885,s1420,s15,s3085,s17,s1285,s5259,s347]) ).
cnf(s5262,plain,
( ~ spl2_188
| spl2_345
| ~ spl2_362
| ~ spl2_349
| ~ spl2_24
| spl2_10
| spl2_21
| ~ spl2_13
| spl2_109 ),
inference(rat,[],[s4620,s1240,s679,s2771,s4571,s4226,s2248,s4827,s3198]) ).
cnf(s5263,plain,
( ~ spl2_116
| spl2_118
| spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1236,s2819,s3192,s1897,s3698,s1235,s2505,s589,s5189,s539,s5262,s2135,s4846,s1723,s821,s2652,s849,s2499,s1654,s4306,s833,s3313,s5242,s5030,s4374,s1238,s513,s1592,s2469,s1556,s544,s1433,s955,s4104,s2443,s947,s5261,s446,s5259,s288,s636,s4593,s2423,s1885,s1420,s15,s49,s3085,s1285,s4813,s743,s308,s4747,s1687,s319,s5257,s5203,s3550,s4754,s1574,s17,s347,s1727,s5236,s4002,s4764,s4671,s1294,s173,s4751,s112,s2827,s152,s5213,s5168,s4004,s453]) ).
cnf(s5264,plain,
( spl2_97
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s3085,s745,s15,s1170,s1420,s4672,s3792,s5263,s17,s1727,s5236,s5235,s641,s4671,s1294,s173,s112,s2827,s4002,s152,s5213,s4367,s4751,s4004,s453,s4764,s5168]) ).
cnf(s5265,plain,
( spl2_362
| spl2_360
| ~ spl2_350
| ~ spl2_24
| ~ spl2_15
| ~ spl2_12
| ~ spl2_6 ),
inference(rat,[],[s2353,s2920,s3160,s1723]) ).
cnf(s5267,plain,
( ~ spl2_360
| spl2_370
| ~ spl2_111
| spl2_139
| spl2_20 ),
inference(rat,[],[s1542,s977,s2966,s3696]) ).
cnf(s5268,plain,
( spl2_345
| spl2_370
| ~ spl2_350
| ~ spl2_208
| ~ spl2_116
| spl2_186
| spl2_112
| ~ spl2_23 ),
inference(rat,[],[s1769,s2901,s843,s2663,s4656,s4619,s977,s312]) ).
cnf(s5269,plain,
( ~ spl2_306
| ~ spl2_397
| ~ spl2_362
| ~ spl2_350
| spl2_198
| spl2_179
| ~ spl2_24
| ~ spl2_208
| ~ spl2_273
| ~ spl2_133
| ~ spl2_117
| spl2_31
| spl2_112
| spl2_109
| ~ spl2_12
| spl2_118 ),
inference(rat,[],[s1721,s4885,s4788,s4811,s4618,s3213,s5173,s1038]) ).
cnf(s5270,plain,
( ~ spl2_15
| ~ spl2_106
| ~ spl2_103
| ~ spl2_116
| ~ spl2_273
| ~ spl2_133
| spl2_186
| ~ spl2_117
| spl2_132
| ~ spl2_27
| ~ spl2_77
| spl2_13
| spl2_112
| spl2_109
| spl2_139
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_6 ),
inference(rat,[],[s5174,s5173,s730,s897,s2725,s1957,s449,s4402,s947,s5269,s4597,s5268,s5265,s5267,s1714,s1240,s2672,s2674,s1237,s2216,s831,s5218,s903,s4062,s3209,s1511,s4646,s679,s772,s2393,s2505,s3241,s5189,s3242,s539,s5170,s4593,s312,s107,s933,s1170,s4902,s1418,s1421,s4807,s4901,s322,s1112]) ).
cnf(s5271,plain,
( ~ spl2_188
| ~ spl2_236
| ~ spl2_239
| ~ spl2_153
| ~ spl2_106
| spl2_109
| spl2_10
| spl2_118
| ~ spl2_23 ),
inference(rat,[],[s3333,s1235,s2505,s4787,s1987,s4465,s3666,s4827,s4807]) ).
cnf(s5272,plain,
( ~ spl2_350
| spl2_286
| ~ spl2_182
| ~ spl2_321
| ~ spl2_274
| ~ spl2_157
| ~ spl2_404
| ~ spl2_239
| ~ spl2_251
| ~ spl2_395
| ~ spl2_208
| ~ spl2_116
| spl2_186
| spl2_112
| spl2_109
| spl2_10
| spl2_139
| ~ spl2_12
| spl2_118
| ~ spl2_23 ),
inference(rat,[],[s4786,s1757,s4095,s4023,s5268,s5267,s1714,s1240,s2672,s2674,s1237,s2216,s5250,s1421,s107]) ).
cnf(s5273,plain,
( ~ spl2_306
| ~ spl2_395
| ~ spl2_106
| ~ spl2_103
| ~ spl2_116
| spl2_13
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s831,s5218,s5272,s903,s2513,s2171,s4602,s1235,s1236,s2251,s1832,s2505,s1933,s3439,s3241,s5189,s3242,s539,s5271,s4924,s1238,s955,s1991,s1078,s4585,s4885,s449,s4644,s4811,s658,s897,s4884,s3213,s953,s4832,s5209,s1038,s107,s41,s4903,s3489,s933,s862,s1170,s1360,s681,s5180,s5171,s4807,s1112,s173,s319,s1377,s4902,s254,s641,s4671,s5114,s312,s1418,s3490,s1421]) ).
cnf(s5274,plain,
( spl2_345
| ~ spl2_217
| ~ spl2_177
| ~ spl2_326
| ~ spl2_321
| ~ spl2_350
| ~ spl2_395
| ~ spl2_208
| ~ spl2_116
| spl2_186
| ~ spl2_77
| spl2_13
| spl2_112
| spl2_109
| spl2_118
| ~ spl2_23
| ~ spl2_4 ),
inference(rat,[],[s1149,s4786,s2784,s1148,s3734,s4748,s4369,s2825,s821,s4571,s1240,s1714,s5268,s977]) ).
cnf(s5275,plain,
( ~ spl2_188
| ~ spl2_321
| ~ spl2_350
| ~ spl2_239
| ~ spl2_149
| ~ spl2_395
| ~ spl2_106
| ~ spl2_116
| ~ spl2_273
| ~ spl2_133
| spl2_186
| ~ spl2_232
| ~ spl2_27
| ~ spl2_77
| spl2_13
| spl2_112
| spl2_109
| spl2_10
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s1240,s1762,s1672,s981,s5274,s4226,s4479,s955,s3208,s1858,s3154,s1933,s4788,s1235,s1458,s1236,s2210,s2171,s730,s902,s5089,s3663,s4864,s4787,s4465,s3666,s4827,s4940,s312,s933,s1170,s4807]) ).
cnf(s5276,plain,
( ~ spl2_321
| ~ spl2_350
| spl2_147
| ~ spl2_149
| ~ spl2_395
| ~ spl2_18
| ~ spl2_106
| ~ spl2_103
| ~ spl2_116
| ~ spl2_273
| ~ spl2_133
| spl2_186
| spl2_132
| ~ spl2_27
| ~ spl2_77
| spl2_13
| spl2_112
| spl2_109
| spl2_10
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s4884,s4095,s953,s4786,s1458,s1757,s1592,s981,s2529,s5268,s4101,s1139,s2171,s1714,s1235,s1240,s4762,s2672,s903,s4062,s899,s4646,s679,s2674,s1157,s772,s1237,s1236,s2393,s2216,s1933,s3241,s5189,s3242,s539,s5275,s1111,s107,s933,s1170,s4805,s4807,s449]) ).
cnf(s5277,plain,
( ~ spl2_194
| ~ spl2_106
| ~ spl2_103
| ~ spl2_116
| spl2_132
| spl2_10
| ~ spl2_23 ),
inference(rat,[],[s539,s4827,s5189,s4465]) ).
cnf(s5278,plain,
( ~ spl2_188
| ~ spl2_447
| ~ spl2_227
| ~ spl2_366
| ~ spl2_75
| spl2_10 ),
inference(rat,[],[s2312,s821,s828,s4571,s2263,s4827]) ).
cnf(s5279,plain,
( ~ spl2_106
| ~ spl2_103
| ~ spl2_116
| spl2_13
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s4644,s513,s2107,s931,s1236,s4829,s5218,s1933,s3439,s3241,s3242,s539,s5278,s4570,s2672,s1240,s1714,s977,s4619,s1730,s833,s1940,s4639,s1337,s831,s5276,s2505,s5277,s449,s4402,s947,s5273,s4894,s4591,s15,s5270,s4764,s5168,s1112,s173,s4903,s3489,s862,s1170,s1360,s681,s5180,s319,s1377,s4902,s254,s641,s4671,s5114,s312,s1418,s3490,s453,s1421]) ).
cnf(s5280,plain,
( ~ spl2_321
| ~ spl2_15
| ~ spl2_128
| ~ spl2_133
| spl2_112
| spl2_10 ),
inference(rat,[],[s3697,s679,s3209,s1859,s2248,s4827,s539,s721,s4593]) ).
cnf(s5281,plain,
( spl2_321
| ~ spl2_116
| spl2_197
| ~ spl2_232
| ~ spl2_27
| spl2_13
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2109,s2393,s5066,s674,s2505]) ).
cnf(s5282,plain,
( ~ spl2_15
| spl2_194
| ~ spl2_274
| spl2_421
| ~ spl2_208
| ~ spl2_321
| ~ spl2_116
| ~ spl2_273
| ~ spl2_133
| spl2_186
| ~ spl2_117
| ~ spl2_27
| ~ spl2_77
| spl2_13
| spl2_112
| spl2_109
| spl2_10
| spl2_139
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_6 ),
inference(rat,[],[s5174,s5173,s730,s897,s2725,s1957,s449,s4402,s947,s5269,s4597,s5265,s5268,s5267,s1714,s1240,s2672,s2674,s1237,s2216,s831,s5218,s903,s4062,s3209,s1511,s4646,s679,s772,s2393,s3241,s539,s5170,s4593,s312,s107,s933,s1170,s4902,s1418,s1421]) ).
cnf(s5283,plain,
( ~ spl2_306
| ~ spl2_292
| spl2_185
| spl2_182
| ~ spl2_395
| ~ spl2_106
| ~ spl2_133
| ~ spl2_27
| spl2_31
| ~ spl2_111
| spl2_109
| spl2_10
| ~ spl2_107
| spl2_118 ),
inference(rat,[],[s1236,s4602,s2333,s4752,s897,s953,s3154,s5209,s1038]) ).
cnf(s5284,plain,
( ~ spl2_188
| ~ spl2_395
| spl2_194
| ~ spl2_274
| ~ spl2_106
| ~ spl2_27
| spl2_31
| spl2_112
| spl2_109
| spl2_10
| ~ spl2_107
| ~ spl2_12
| spl2_118
| spl2_26 ),
inference(rat,[],[s1933,s1236,s449,s902,s4402,s947,s5283,s4915,s2393,s4062,s3663,s4864,s4787,s3666,s4940,s312,s107,s319,s1377,s4902,s4807]) ).
cnf(s5285,plain,
( ~ spl2_306
| ~ spl2_382
| ~ spl2_358
| ~ spl2_397
| ~ spl2_395
| ~ spl2_106
| ~ spl2_133
| ~ spl2_27
| spl2_31
| ~ spl2_111
| spl2_10
| ~ spl2_107
| spl2_118 ),
inference(rat,[],[s2185,s4788,s4507,s4618,s897,s953,s5209,s1038]) ).
cnf(s5286,plain,
( ~ spl2_106
| ~ spl2_116
| spl2_13
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s953,s4884,s1458,s4095,s1592,s4786,s2529,s1757,s4101,s1139,s2171,s1235,s4762,s1157,s1236,s1933,s449,s4402,s5285,s2499,s2903,s4635,s1769,s981,s4597,s5268,s1714,s1240,s2672,s2674,s1237,s2216,s831,s5218,s903,s4062,s899,s4646,s679,s772,s2393,s3241,s539,s5284,s4894,s15,s5282,s3858,s3439,s4883,s4187,s5279,s4807,s4764,s1111,s1112,s173,s107,s933,s1360,s681,s5180,s319,s1377,s4902,s312,s5281,s254,s641,s4671,s1418,s1421,s5114,s4805,s862,s4903,s3489,s1170,s3490,s5168,s453]) ).
cnf(s5287,plain,
( ~ spl2_116
| spl2_13
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s15,s318,s5280,s492,s1990,s152,s5286,s5281,s5168,s1112,s173,s312,s4903,s3489,s4805,s862,s1170,s254,s641,s4671,s5114,s319,s1377,s4902,s1418,s3490,s453,s1421]) ).
cnf(s5288,plain,
( spl2_345
| spl2_370
| ~ spl2_350
| ~ spl2_208
| ~ spl2_232
| spl2_112
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s2353,s2898,s2903,s2663,s1542,s4619,s977,s312,s107]) ).
cnf(s5289,plain,
( ~ spl2_15
| spl2_421
| ~ spl2_208
| ~ spl2_273
| ~ spl2_133
| spl2_186
| ~ spl2_232
| ~ spl2_117
| ~ spl2_27
| ~ spl2_77
| spl2_13
| spl2_112
| spl2_109
| spl2_10
| spl2_139
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s5174,s5173,s730,s897,s2725,s1957,s449,s4402,s947,s5269,s4597,s5288,s5265,s5267,s1714,s1240,s2672,s2674,s1237,s2216,s831,s5218,s903,s4062,s3209,s1511,s4646,s2505,s679,s3858,s772,s3439,s2393,s3240,s3241,s539,s5170,s4593,s312,s107,s933,s1170,s4902,s1418,s1421]) ).
cnf(s5290,plain,
( ~ spl2_321
| ~ spl2_395
| ~ spl2_106
| spl2_103
| ~ spl2_232
| spl2_13
| spl2_112
| spl2_109
| spl2_10
| ~ spl2_107
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s953,s4884,s1458,s4095,s1592,s4786,s2529,s1757,s4101,s1139,s2171,s1235,s4762,s1157,s1236,s1933,s449,s4402,s5285,s2499,s2903,s4635,s1769,s981,s4597,s5288,s1714,s1240,s2672,s2674,s1237,s2216,s831,s5218,s903,s4062,s899,s4646,s679,s772,s2393,s3241,s539,s5284,s3858,s3439,s4883,s107,s933,s15,s5289,s4187,s4807,s681,s5180,s254,s312,s319,s1377,s4902,s1360,s641,s5114,s4671,s1418,s1421,s4903,s3489,s1170,s3490,s173]) ).
cnf(s5291,plain,
( spl2_13
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s4062,s2393,s899,s2109,s5066,s3960,s2505,s5290,s4894,s15,s5289,s4187,s4807,s152,s1990,s1616,s4672,s4677,s5287,s681,s5180,s319,s254,s1360,s1377,s641,s4805,s4902,s4671,s862,s4903,s1418,s1170,s3489,s3490,s453,s4764,s5168,s1111,s1421,s1112,s173,s312,s5114]) ).
cnf(s5292,plain,
( ~ spl2_241
| spl2_194
| ~ spl2_205
| ~ spl2_274
| ~ spl2_30
| ~ spl2_24
| ~ spl2_133
| spl2_109
| ~ spl2_23 ),
inference(rat,[],[s1236,s895,s1957,s1933,s969,s1897,s449,s1235,s4402,s947,s1139,s1038]) ).
cnf(s5293,plain,
( spl2_31
| ~ spl2_117
| ~ spl2_22
| spl2_188
| ~ spl2_24
| ~ spl2_133
| ~ spl2_232
| ~ spl2_208
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3798,s449,s730,s4811,s1458,s548,s903,s953,s5173,s5292,s3209,s5103,s3858,s5176,s3439,s2393,s3240,s3241,s681,s5180,s4902,s312,s107,s539,s254,s641,s5114]) ).
cnf(s5294,plain,
( ~ spl2_273
| ~ spl2_50
| ~ spl2_31
| ~ spl2_219
| ~ spl2_23 ),
inference(rat,[],[s679,s2083,s935,s3241]) ).
cnf(s5295,plain,
( ~ spl2_153
| ~ spl2_95
| ~ spl2_22
| ~ spl2_232
| ~ spl2_111
| spl2_118
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s953,s3011,s1458,s1261,s4644]) ).
cnf(s5297,plain,
( spl2_31
| ~ spl2_22
| spl2_188
| ~ spl2_24
| ~ spl2_133
| ~ spl2_232
| ~ spl2_208
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5293,s4671]) ).
cnf(s5298,plain,
( ~ spl2_15
| ~ spl2_232
| ~ spl2_208
| ~ spl2_13
| spl2_112
| spl2_109
| spl2_10
| ~ spl2_107
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2036,s687,s2014,s513,s5295,s4655,s111,s1294,s28,s5297,s4750,s5170,s4593,s67,s1421,s173,s312,s107,s4881,s2617]) ).
cnf(s5299,plain,
( ~ spl2_188
| ~ spl2_133
| ~ spl2_106
| ~ spl2_13
| ~ spl2_114
| spl2_10
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4645,s2393,s4829,s4062,s2317,s3663,s4864,s4787,s4465,s3666,s4827,s4940,s4807]) ).
cnf(s5300,plain,
( spl2_31
| spl2_188
| spl2_15
| ~ spl2_232
| ~ spl2_106
| ~ spl2_13
| spl2_134
| ~ spl2_111
| ~ spl2_114
| spl2_109
| spl2_10
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4584,s1551,s955,s953,s2545,s1139,s1235,s4762,s903,s745,s27,s495,s1157,s4787,s1236,s4062,s4492,s4575,s4380,s3209,s679,s4274,s5103,s3117,s5176,s4750,s933,s3858,s1171,s3439,s2393,s3240,s3241,s681,s5180,s254,s641,s4671,s1421,s4881,s7,s4027,s539]) ).
cnf(s5301,plain,
( ~ spl2_106
| ~ spl2_13
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2196,s2317,s4915,s4829,s3858,s494,s4645,s2012,s2082,s1896,s681,s5294,s3566,s111,s4497,s1294,s28,s5300,s539,s5299,s5298,s1315,s4881,s4805,s4807,s860,s1111,s1421,s1112,s173,s312,s107,s5114]) ).
cnf(s5302,plain,
( ~ spl2_188
| ~ spl2_15
| ~ spl2_133
| ~ spl2_13
| ~ spl2_111
| ~ spl2_114
| ~ spl2_107
| spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4645,s5103,s1690,s4805,s4936,s4026,s4787,s4479,s3209,s4226,s2248,s3198,s4940,s1318,s4593,s1112,s173,s4750,s67,s1111]) ).
cnf(s5303,plain,
( spl2_31
| spl2_188
| ~ spl2_22
| ~ spl2_24
| ~ spl2_133
| ~ spl2_233
| spl2_134
| ~ spl2_111
| ~ spl2_114
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3588,s4836,s4644,s1238,s1458,s657,s3247,s953,s5292,s4805,s3960,s862,s4936,s5176,s1171,s1690,s2393,s4787,s3240,s3241,s3012,s681,s5180,s254,s641,s4902,s4671,s173,s539]) ).
cnf(s5304,plain,
( ~ spl2_15
| ~ spl2_133
| ~ spl2_233
| spl2_106
| ~ spl2_13
| spl2_134
| ~ spl2_111
| ~ spl2_114
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4805,s4026,s3858,s4787,s2505,s1720,s723,s4517,s4645,s2082,s1896,s681,s5294,s4796,s3566,s111,s1294,s28,s5303,s539,s5302,s4750,s4593,s67,s1111,s1421,s1112,s173,s152,s1315]) ).
cnf(s5305,plain,
( spl2_21
| ~ spl2_232
| ~ spl2_273
| ~ spl2_30
| ~ spl2_188
| spl2_15
| ~ spl2_133
| ~ spl2_102
| ~ spl2_13
| ~ spl2_111
| ~ spl2_114
| spl2_109
| spl2_139
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_6 ),
inference(rat,[],[s3439,s4932,s4829,s4793,s2317,s5058,s679,s5108,s5056,s4226,s4750,s4063,s15,s4940,s3198]) ).
cnf(s5306,plain,
( ~ spl2_232
| ~ spl2_273
| ~ spl2_30
| ~ spl2_188
| spl2_393
| spl2_15
| ~ spl2_133
| ~ spl2_102
| ~ spl2_13
| ~ spl2_111
| ~ spl2_114
| spl2_109
| spl2_139
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_6 ),
inference(rat,[],[s4915,s2196,s3858,s745,s2393,s4482,s1170,s1171,s645,s933,s3336,s5305,s4063,s15]) ).
cnf(s5307,plain,
( ~ spl2_155
| ~ spl2_337
| ~ spl2_185
| ~ spl2_273
| ~ spl2_117
| spl2_31
| ~ spl2_326
| ~ spl2_395
| ~ spl2_133
| ~ spl2_102
| spl2_109
| ~ spl2_12 ),
inference(rat,[],[s1235,s1858,s3473,s5253,s4885,s4811,s3206,s3213]) ).
cnf(s5308,plain,
( spl2_31
| ~ spl2_188
| spl2_393
| ~ spl2_395
| spl2_15
| ~ spl2_133
| ~ spl2_102
| ~ spl2_13
| spl2_134
| ~ spl2_111
| ~ spl2_114
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_6 ),
inference(rat,[],[s548,s4811,s2237,s1918,s4274,s5307,s4904,s648,s3336,s934,s4226,s4479,s3209,s2317,s4829,s4486,s745,s4787,s1170,s1171,s4026,s862,s4805,s5306,s681,s492,s5180,s318,s254,s1360,s1377,s641,s4902,s4671,s15,s4940,s1111,s3198,s4827,s1112,s173]) ).
cnf(s5309,plain,
( ~ spl2_31
| spl2_15
| ~ spl2_102
| spl2_112
| spl2_139
| spl2_20 ),
inference(rat,[],[s159,s111,s4497,s1294,s28]) ).
cnf(s5310,plain,
( ~ spl2_133
| spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s901,s679,s3960,s586,s4936,s1690,s4787,s3241,s3012,s681,s5180,s254,s539,s641,s5308,s4671,s5309,s5144,s4894,s15,s5304,s1421,s173,s312,s107,s5114,s103,s4002,s152,s5301,s5291,s4764,s5168,s453]) ).
cnf(s5311,plain,
( spl2_112
| spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s861,s1238,s688,s3247,s953,s3011,s4644,s1261,s513,s111,s1169,s1294,s862,s4902,s4750,s4805,s1377,s308,s4881,s319,s5310,s5291,s107,s312,s5168,s173]) ).
cnf(s5312,plain,
( spl2_109
| ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s3337,s1157,s947,s1236,s4879,s2333,s4507,s3154,s4915,s1458,s3858,s4644,s4645,s513,s2393,s1169,s1171,s933,s4881,s4750,s3490,s28,s1418,s4805,s4671,s2423,s1727,s2413,s5311,s453,s5168,s1421]) ).
cnf(s5313,plain,
( spl2_112
| ~ spl2_109 ),
inference(rat,[],[s1065,s1062,s5114,s312]) ).
cnf(s5314,plain,
( ~ spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s947,s4879,s3337,s4507,s1119,s1458,s2290,s4644,s1383,s513,s1065,s1169,s1066,s933,s4881,s4750,s361,s3490,s28,s1418,s4805,s4671,s2423,s1727,s2413,s5313,s5312,s453,s5168,s1421]) ).
cnf(s5316,plain,
( ~ spl2_155
| spl2_128
| ~ spl2_15
| ~ spl2_133
| ~ spl2_27
| spl2_31
| ~ spl2_33
| spl2_112
| ~ spl2_98
| ~ spl2_12
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1238,s1743,s1991,s4885,s4585,s4374,s4644,s4811,s658,s897,s3213,s1421,s5313]) ).
cnf(s5317,plain,
( ~ spl2_273
| ~ spl2_219
| ~ spl2_15
| ~ spl2_232
| spl2_10
| ~ spl2_389
| ~ spl2_133
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1235,s589,s4762,s1484,s688,s953,s5316,s903,s1836,s5280,s5292,s2505,s3858,s3439,s2393,s3240,s3241,s107,s5313,s41,s4903,s3489,s1170,s4902,s1418,s3490,s1421,s4593]) ).
cnf(s5318,plain,
( ~ spl2_306
| spl2_155
| ~ spl2_329
| ~ spl2_202
| ~ spl2_185
| ~ spl2_133
| spl2_112 ),
inference(rat,[],[s1235,s3476,s4753,s1703,s1038,s5313,s446]) ).
cnf(s5319,plain,
( ~ spl2_15
| ~ spl2_106
| spl2_10
| ~ spl2_389
| ~ spl2_133
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s931,s513,s1236,s1556,s3192,s1343,s947,s5318,s5316,s1616,s4661,s4815,s5281,s2109,s4596,s3697,s4646,s5104,s679,s3209,s1732,s4410,s4814,s681,s5317,s619,s1244,s539,s4912,s5170,s4593,s388,s312,s107,s5313,s2188,s41,s1123,s4903,s3489,s933,s1170,s4902,s1418,s3490,s1421,s4807,s4805,s860,s1111]) ).
cnf(s5320,plain,
( ~ spl2_155
| spl2_274
| ~ spl2_196
| ~ spl2_273
| ~ spl2_27
| spl2_109
| spl2_20
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1832,s1235,s4585,s3477,s4644,s658,s898,s897]) ).
cnf(s5321,plain,
( ~ spl2_306
| spl2_155
| ~ spl2_18
| ~ spl2_232
| ~ spl2_133
| spl2_13
| ~ spl2_111
| spl2_118 ),
inference(rat,[],[s1484,s953,s941,s1038]) ).
cnf(s5322,plain,
( ~ spl2_227
| ~ spl2_366
| spl2_360
| ~ spl2_188
| ~ spl2_75
| spl2_10 ),
inference(rat,[],[s5278,s4570]) ).
cnf(s5323,plain,
( ~ spl2_188
| spl2_187
| spl2_198
| ~ spl2_395
| ~ spl2_75
| ~ spl2_18
| ~ spl2_106
| spl2_10
| ~ spl2_133
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1714,s1240,s1542,s5322,s977,s1730,s4306,s1940,s4639,s3313,s831,s5276,s4402,s947,s5321,s5320,s4661,s4883,s4350,s1552,s2505,s4914,s4645,s4787,s4465,s4896,s3666,s4827,s107,s5313,s4903,s3489,s4902,s1418,s1421,s4807,s4805,s860,s1111,s292,s1352,s1123,s933,s1170,s3490,s681]) ).
cnf(s5324,plain,
( ~ spl2_155
| spl2_128
| spl2_194
| spl2_179
| spl2_198
| ~ spl2_27
| spl2_31
| ~ spl2_33
| spl2_112
| ~ spl2_98
| ~ spl2_12
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2547,s1238,s4101,s1991,s1235,s4585,s4644,s4811,s4762,s658,s897,s3213,s687,s1421,s5313]) ).
cnf(s5325,plain,
( ~ spl2_106
| spl2_139
| ~ spl2_133
| spl2_13
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1484,s953,s589,s1139,s1235,s4762,s1157,s1236,s4380,s4274,s5324,s721,s679,s2505,s4850,s4490,s3241,s539,s5323,s681,s4410,s903,s5067,s4894,s4591,s15,s5319,s4805,s860,s4764,s5168,s1111,s112,s107,s5313,s41,s4903,s3489,s1170,s4902,s1418,s3490,s453,s1421,s4134,s5314,s1112]) ).
cnf(s5326,plain,
( ~ spl2_173
| spl2_197
| spl2_321
| spl2_393
| spl2_95
| ~ spl2_27
| spl2_13
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5281,s4805,s4663,s4026]) ).
cnf(s5327,plain,
( ~ spl2_188
| ~ spl2_174
| ~ spl2_15
| spl2_10
| ~ spl2_133
| ~ spl2_114 ),
inference(rat,[],[s4479,s3209,s1859,s2248,s4827,s4593]) ).
cnf(s5328,plain,
( spl2_139
| ~ spl2_133
| spl2_13
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4646,s3240,s539,s5327,s1552,s765,s4787,s5326,s622,s5280,s4964,s1667,s5091,s2824,s1990,s4063,s4002,s152,s5325,s1112,s4764,s5168,s112,s5314,s312,s107,s5313,s1418,s1421,s4903,s3489,s1352,s1123,s933,s1170,s3490,s453]) ).
cnf(s5329,plain,
( spl2_242
| ~ spl2_192
| ~ spl2_133
| ~ spl2_30
| spl2_21
| ~ spl2_77
| ~ spl2_114 ),
inference(rat,[],[s4402,s1038,s4928,s4984]) ).
cnf(s5330,plain,
( ~ spl2_133
| spl2_13
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4646,s3240,s539,s5327,s748,s2491,s5329,s5091,s4949,s4002,s2469,s1552,s765,s152,s1238,s4787,s943,s1120,s3469,s5328,s5168,s112,s5314,s312,s107,s5313,s933,s1170,s4902,s1418,s3490,s453,s1421]) ).
cnf(s5331,plain,
( ~ spl2_155
| ~ spl2_188
| spl2_128
| ~ spl2_232
| ~ spl2_106
| spl2_10
| ~ spl2_27
| spl2_31
| ~ spl2_33
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4924,s1238,s5271,s1991,s1458,s449,s4585,s4644,s4811,s658,s897,s3213,s1421,s5313]) ).
cnf(s5332,plain,
( ~ spl2_188
| spl2_15
| spl2_103
| ~ spl2_232
| ~ spl2_95
| ~ spl2_106
| spl2_10
| spl2_133
| ~ spl2_27
| spl2_31
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2819,s1236,s2730,s3208,s1238,s3154,s5124,s4104,s947,s5138,s5331,s4479,s679,s1732,s4410,s4814,s681,s4883,s2505,s1552,s4465,s4787,s4827,s3666,s1318,s312,s5313,s41,s4902,s319,s860,s4807,s1616,s15]) ).
cnf(s5333,plain,
( ~ spl2_273
| ~ spl2_219
| spl2_128
| spl2_15
| ~ spl2_232
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1484,s953,s589,s1139,s1235,s4762,s1157,s1236,s4380,s4274,s5324,s903,s899,s4646,s679,s772,s3858,s2393,s3439,s3241,s3240,s107,s5313,s41,s1418,s1421,s4903,s3489,s1170,s3490,s15]) ).
cnf(s5334,plain,
( ~ spl2_106
| spl2_10
| spl2_133
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4646,s679,s899,s1732,s4410,s4814,s681,s5333,s539,s5332,s15,s1616,s4016,s4677,s4805,s4661,s860,s1111,s4903,s3489,s1170,s4902,s1418,s1421,s4747,s3490]) ).
cnf(s5335,plain,
( ~ spl2_237
| spl2_155
| ~ spl2_202
| ~ spl2_188
| ~ spl2_174
| ~ spl2_132
| ~ spl2_102
| spl2_139
| spl2_13
| spl2_109 ),
inference(rat,[],[s4709,s1235,s2170,s3476,s2469,s1706,s1238,s861,s657,s688]) ).
cnf(s5336,plain,
( ~ spl2_196
| ~ spl2_273
| ~ spl2_328
| ~ spl2_202
| ~ spl2_188
| spl2_182
| spl2_274
| ~ spl2_174
| ~ spl2_132
| ~ spl2_102
| spl2_139
| ~ spl2_27
| spl2_13
| spl2_109
| spl2_20
| spl2_118
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s955,s4383,s2251,s2469,s1238,s861,s4602,s1157,s1236,s3208,s3154,s5335,s5320]) ).
cnf(s5337,plain,
( ~ spl2_155
| ~ spl2_273
| ~ spl2_326
| spl2_274
| ~ spl2_27
| spl2_31
| spl2_109
| ~ spl2_12
| ~ spl2_23 ),
inference(rat,[],[s1987,s1235,s449,s3477,s4811,s898,s897,s3213]) ).
cnf(s5338,plain,
( ~ spl2_273
| ~ spl2_328
| ~ spl2_202
| ~ spl2_326
| ~ spl2_188
| spl2_182
| spl2_274
| ~ spl2_174
| ~ spl2_132
| ~ spl2_102
| spl2_139
| ~ spl2_27
| spl2_31
| spl2_13
| spl2_109
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1987,s1235,s449,s3477,s513,s4763,s931,s4602,s1236,s3208,s3154,s5335,s5337,s4896,s4645,s5336,s1421]) ).
cnf(s5340,plain,
( ~ spl2_353
| ~ spl2_187
| spl2_211
| ~ spl2_185
| spl2_31
| spl2_109
| ~ spl2_12 ),
inference(rat,[],[s4621,s2771,s1237,s977,s1723,s1684,s1730,s3995,s4639,s4902]) ).
cnf(s5341,plain,
( ~ spl2_188
| ~ spl2_15
| spl2_274
| ~ spl2_174
| ~ spl2_132
| ~ spl2_123
| ~ spl2_233
| ~ spl2_102
| spl2_10
| spl2_139
| spl2_13
| spl2_112
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4620,s1240,s2135,s4571,s4846,s821,s2930,s2771,s2663,s5265,s2880,s2966,s846,s2499,s4087,s831,s5340,s681,s5338,s4479,s679,s1859,s2248,s4827,s312,s5313,s1418,s1421,s4903,s3489,s4950,s1170,s3490,s4593]) ).
cnf(s5342,plain,
( ~ spl2_219
| spl2_278
| ~ spl2_174
| ~ spl2_233
| spl2_31
| spl2_13
| ~ spl2_12 ),
inference(rat,[],[s1732,s4814,s679,s681,s4646,s3012]) ).
cnf(s5343,plain,
( ~ spl2_350
| ~ spl2_287
| ~ spl2_192
| ~ spl2_211
| spl2_155
| ~ spl2_132
| ~ spl2_123
| ~ spl2_233
| spl2_21
| ~ spl2_27
| spl2_109
| ~ spl2_98
| spl2_118 ),
inference(rat,[],[s4786,s4318,s2174,s4597,s821,s4969,s2163,s2930,s2943,s2663,s2880,s846,s2499,s4087]) ).
cnf(s5344,plain,
( ~ spl2_273
| spl2_15
| ~ spl2_174
| ~ spl2_132
| ~ spl2_123
| ~ spl2_233
| ~ spl2_102
| spl2_10
| spl2_139
| spl2_21
| ~ spl2_27
| spl2_31
| spl2_13
| spl2_112
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_23 ),
inference(rat,[],[s4318,s2160,s4786,s1723,s1730,s1639,s3995,s4639,s831,s5343,s4811,s449,s4386,s4373,s1236,s3477,s1853,s1235,s4584,s4709,s955,s2170,s1768,s2469,s4051,s772,s1238,s679,s861,s5335,s657,s688,s2237,s4274,s5337,s5313,s4902,s1552,s4827,s539,s5342,s765,s4027,s312]) ).
cnf(s5345,plain,
( ~ spl2_155
| ~ spl2_397
| spl2_406
| ~ spl2_350
| ~ spl2_27
| spl2_118 ),
inference(rat,[],[s4788,s3353,s4618,s898]) ).
cnf(s5346,plain,
( spl2_139
| spl2_13
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s2237,s5335,s4274,s5345,s4597,s4620,s1240,s4571,s821,s2930,s2943,s2774,s2663,s2880,s846,s2499,s4087,s831,s5340,s679,s1732,s4410,s4814,s681,s5344,s5341,s4827,s539,s5342,s1552,s765,s4787,s4014,s4663,s111,s4964,s2827,s2824,s1990,s4002,s152,s5334,s1112,s4764,s5168,s1111,s112,s5314,s312,s5313,s4903,s3489,s933,s1170,s4902,s1418,s1421,s4747,s5330,s3490,s453]) ).
cnf(s5347,plain,
( ~ spl2_10
| ~ spl2_188
| spl2_393
| spl2_322
| spl2_275
| ~ spl2_27
| spl2_109
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4279,s1236,s772,s931,s4896,s2393,s897,s513,s4645,s4644,s1353,s748]) ).
cnf(s5348,plain,
( spl2_155
| ~ spl2_202
| ~ spl2_326
| spl2_250
| spl2_275
| spl2_13
| spl2_109
| spl2_118 ),
inference(rat,[],[s1858,s1235,s955,s3476,s4383]) ).
cnf(s5350,plain,
( ~ spl2_273
| spl2_10
| ~ spl2_132
| ~ spl2_188
| ~ spl2_123
| ~ spl2_233
| spl2_250
| spl2_275
| spl2_274
| ~ spl2_192
| spl2_21
| ~ spl2_27
| spl2_31
| spl2_13
| spl2_109
| ~ spl2_98
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23 ),
inference(rat,[],[s3254,s2160,s4788,s977,s1723,s4718,s1730,s449,s4373,s3995,s4639,s4386,s3477,s831,s1236,s1235,s5343,s1853,s772,s1858,s4584,s971,s679,s955,s5348,s4383,s5337,s4902,s4051,s4827]) ).
cnf(s5351,plain,
( spl2_13
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1240,s4620,s4571,s4597,s821,s5345,s2930,s2943,s2774,s2663,s2880,s846,s2499,s4087,s831,s5348,s5340,s679,s1732,s4410,s4814,s681,s5350,s4827,s5347,s4014,s539,s111,s4964,s4949,s5342,s2827,s2824,s1990,s4002,s2469,s1706,s1552,s765,s152,s1238,s4787,s943,s1120,s3469,s5346,s5330,s4902,s933,s4903,s1418,s1170,s3489,s3490,s453,s4764,s5168,s1111,s1421,s112,s5314,s312,s5313]) ).
cnf(s5352,plain,
( ~ spl2_155
| ~ spl2_273
| ~ spl2_27
| ~ spl2_326
| spl2_182
| spl2_31
| spl2_109
| ~ spl2_12
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1236,s2107,s1933,s4829,s449,s3439,s4644,s4811,s5337,s897,s3213]) ).
cnf(s5353,plain,
( ~ spl2_232
| ~ spl2_22
| ~ spl2_273
| ~ spl2_103
| ~ spl2_389
| ~ spl2_133
| spl2_139
| ~ spl2_188
| spl2_31
| ~ spl2_13
| spl2_109
| ~ spl2_111
| ~ spl2_114
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4645,s4490,s5103,s5104,s500,s3209,s4787,s2248,s5327,s4593,s5306,s4902,s1318,s152,s5299,s1885,s1421]) ).
cnf(s5354,plain,
( spl2_21
| ~ spl2_273
| ~ spl2_103
| ~ spl2_389
| ~ spl2_133
| spl2_139
| ~ spl2_188
| spl2_31
| ~ spl2_13
| spl2_109
| ~ spl2_111
| ~ spl2_114
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2496,s4829,s4235,s2317,s645,s3209,s4479,s4787,s4026,s4805,s5353,s4226,s4750,s4902,s1318,s4940,s3198,s152,s5299,s1885,s1421,s1111]) ).
cnf(s5355,plain,
( ~ spl2_21
| ~ spl2_114
| spl2_107
| ~ spl2_12
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s745,s4493,s1170,s4027,s933,s67]) ).
cnf(s5356,plain,
( ~ spl2_133
| spl2_139
| ~ spl2_273
| ~ spl2_188
| spl2_31
| ~ spl2_13
| spl2_109
| ~ spl2_111
| ~ spl2_114
| spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2824,s111,s152,s5354,s5299,s4134,s112,s1885,s1421,s5355,s1111]) ).
cnf(s5357,plain,
( spl2_353
| ~ spl2_185
| ~ spl2_24
| ~ spl2_15
| ~ spl2_123
| ~ spl2_233
| ~ spl2_132
| spl2_139
| ~ spl2_273
| ~ spl2_326
| spl2_109
| ~ spl2_12
| ~ spl2_6 ),
inference(rat,[],[s4571,s1240,s821,s2543,s2930,s4076,s2663,s5265,s2880,s2966,s846,s2499,s4087,s831]) ).
cnf(s5358,plain,
( ~ spl2_192
| ~ spl2_227
| ~ spl2_366
| ~ spl2_377
| spl2_155
| ~ spl2_174
| spl2_211
| spl2_393
| spl2_109
| spl2_118 ),
inference(rat,[],[s2155,s4709,s2819,s4788,s1235,s1236,s3254,s3476,s4279,s2163,s1706,s679]) ).
cnf(s5359,plain,
( ~ spl2_322
| ~ spl2_328
| spl2_109 ),
inference(rat,[],[s3208,s3154,s1236,s688,s1157]) ).
cnf(s5360,plain,
( spl2_139
| ~ spl2_273
| ~ spl2_188
| spl2_31
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1240,s4620,s5358,s2771,s977,s2663,s1723,s1730,s2880,s3995,s4639,s1337,s5357,s2248,s4593,s4027,s1768,s955,s1858,s1235,s3476,s1706,s1238,s861,s5359,s5352,s4793,s4932,s4479,s1552,s2827,s4002,s4787,s152,s4026,s860,s4805,s4881,s5356,s453,s4764,s112,s107,s5313,s4902,s1318,s4940,s4827,s1885,s1421,s679,s4226,s3198,s5351,s5355,s312,s5314,s1111,s5168]) ).
cnf(s5361,plain,
( ~ spl2_377
| spl2_345
| spl2_155
| ~ spl2_192
| ~ spl2_174
| spl2_211
| spl2_393
| spl2_109
| spl2_118 ),
inference(rat,[],[s1240,s4620,s5358,s2774,s679,s977]) ).
cnf(s5362,plain,
( ~ spl2_376
| ~ spl2_328
| spl2_109 ),
inference(rat,[],[s3211,s2499,s1237,s846,s2674]) ).
cnf(s5363,plain,
( ~ spl2_273
| ~ spl2_188
| spl2_31
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s3435,s981,s5361,s2663,s2880,s5362,s4014,s5327,s4027,s1768,s955,s1858,s1235,s3476,s5352,s4793,s111,s4932,s2824,s1706,s4479,s1552,s152,s1238,s4787,s943,s1120,s3469,s5360,s453,s4764,s112,s5313,s4750,s1318,s4940,s4827,s1885,s1421,s679,s4226,s3198,s5351,s5355,s312,s5314,s1111,s5168]) ).
cnf(s5364,plain,
( spl2_132
| ~ spl2_187
| ~ spl2_188
| spl2_31
| ~ spl2_13
| ~ spl2_111
| ~ spl2_114
| spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2764,s111,s4596,s2824,s5104,s152,s3209,s5299,s4134,s4881,s4805,s1111,s112,s1885,s1421,s4410,s4902]) ).
cnf(s5365,plain,
( ~ spl2_188
| spl2_31
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1240,s4620,s4571,s2634,s821,s3322,s2930,s4315,s2774,s2663,s2880,s5362,s4479,s4002,s4787,s152,s4026,s860,s5364,s831,s5340,s4410,s681,s5363,s679,s4226,s4827,s3198,s1318,s453,s4764,s107,s5313,s1885,s1421,s4750,s5355,s312,s5314,s1111,s5168,s5351,s4902]) ).
cnf(s5366,plain,
( ~ spl2_345
| ~ spl2_27
| ~ spl2_22
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3435,s981]) ).
cnf(s5367,plain,
( ~ spl2_224
| spl2_373
| ~ spl2_354
| ~ spl2_106
| spl2_194
| spl2_132
| spl2_155
| ~ spl2_219
| spl2_10
| ~ spl2_111
| spl2_118 ),
inference(rat,[],[s4786,s3475,s3649,s955,s4584,s4847,s1551,s953,s1139,s589]) ).
cnf(s5368,plain,
( spl2_345
| spl2_370
| ~ spl2_106
| spl2_185
| spl2_322
| spl2_194
| spl2_120
| ~ spl2_232
| spl2_132
| spl2_155
| spl2_179
| ~ spl2_219
| spl2_10
| spl2_426
| spl2_112
| spl2_118
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s745,s903,s4655,s4762,s111,s1235,s3313,s5367,s2903,s4306,s831,s1542,s5288,s977,s107,s5313,s4807]) ).
cnf(s5369,plain,
( spl2_132
| spl2_155
| ~ spl2_196
| spl2_179
| ~ spl2_480
| ~ spl2_219
| spl2_31
| ~ spl2_13
| spl2_112
| spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4661,s843,s2497,s4655,s1357,s831,s4903,s4793,s4639,s5366,s3435,s1730,s5368,s1714,s1240,s2672,s152,s4305,s4062,s2831,s2505,s3209,s5362,s5359,s3858,s5103,s2617,s4881,s4805,s112,s107,s5313,s1528,s1885,s1421,s4750,s5355,s312,s1111,s1171,s2393]) ).
cnf(s5370,plain,
( ~ spl2_273
| ~ spl2_480
| spl2_188
| spl2_31
| ~ spl2_13
| spl2_112
| spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2831,s3903,s152,s4026,s860,s5369,s5176,s4787,s2393,s1552,s3439,s3241,s3240,s112,s5313,s4750,s5355,s312,s1111,s539]) ).
cnf(s5371,plain,
( ~ spl2_362
| ~ spl2_366
| ~ spl2_181
| ~ spl2_133
| spl2_353
| spl2_211
| ~ spl2_185
| spl2_109
| ~ spl2_98 ),
inference(rat,[],[s3429,s2663,s1237,s2935,s4621,s4076,s2771]) ).
cnf(s5372,plain,
( spl2_132
| ~ spl2_187
| spl2_188
| spl2_31
| ~ spl2_13
| spl2_112
| spl2_107
| ~ spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1148,s2553,s4786,s1237,s1149,s4340,s1024,s821,s2919,s5265,s2206,s4748,s1723,s5371,s4788,s2210,s2725,s4901,s4593,s1279,s4274,s955,s4380,s971,s1236,s977,s449,s4373,s931,s5366,s4402,s947,s513,s4903,s745,s5318,s5295,s4655,s4936,s5176,s1171,s111,s3960,s4490,s2393,s2764,s3469,s4645,s4596,s4787,s5103,s5104,s4479,s3209,s4134,s2617,s4881,s4805,s112,s107,s1528,s1885,s1421,s4750,s5355,s312,s1111,s539,s1896,s679,s831,s5340,s1732,s4814,s4410,s4902,s5313]) ).
cnf(s5373,plain,
( spl2_31
| spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s2634,s3322,s5361,s4315,s2663,s1238,s2880,s861,s5362,s5359,s5116,s4479,s765,s4787,s152,s4026,s860,s5372,s5340,s1732,s4410,s4814,s1896,s681,s5370,s4487,s539,s5365,s4902,s453,s4764,s5313,s4750,s5355,s312,s5314,s1111,s5168,s5351]) ).
cnf(s5374,plain,
( ~ spl2_188
| spl2_186
| ~ spl2_24
| ~ spl2_64
| ~ spl2_31 ),
inference(rat,[],[s648,s2012,s2023,s1318]) ).
cnf(s5375,plain,
( spl2_132
| ~ spl2_480
| ~ spl2_219
| spl2_131
| ~ spl2_25
| ~ spl2_31
| spl2_426
| spl2_109
| ~ spl2_98
| ~ spl2_23 ),
inference(rat,[],[s2831,s152,s5189,s943,s4677,s1294,s111,s4655,s4912]) ).
cnf(s5376,plain,
( spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s4916,s3117,s1552,s4645,s4787,s2393,s4026,s2012,s3903,s2831,s152,s860,s5375,s4487,s539,s5374,s283,s636,s4593,s388,s3030,s4027,s4904,s1666,s4493,s28,s5373,s4750,s5355,s1885,s5351,s1528,s1005,s938,s5313,s312,s4764,s5168,s1111,s1421,s112,s5314]) ).
cnf(s5377,plain,
( ~ spl2_155
| ~ spl2_188
| ~ spl2_106
| spl2_21
| ~ spl2_27
| spl2_31
| spl2_109
| spl2_10
| ~ spl2_112
| ~ spl2_12
| spl2_118
| ~ spl2_23 ),
inference(rat,[],[s5271,s4924,s449,s1238,s4590,s4811,s4547,s4884,s897,s3213,s4813]) ).
cnf(s5379,plain,
( spl2_275
| spl2_155
| spl2_211
| ~ spl2_187
| ~ spl2_326
| spl2_393
| spl2_13
| spl2_109
| spl2_118
| ~ spl2_4 ),
inference(rat,[],[s1710,s4709,s2819,s513,s1235,s1236,s1556,s3476,s4279,s5348,s679]) ).
cnf(s5380,plain,
( ~ spl2_484
| spl2_322
| ~ spl2_250
| ~ spl2_350
| ~ spl2_395
| ~ spl2_208
| ~ spl2_12
| spl2_118
| ~ spl2_23 ),
inference(rat,[],[s1024,s4788,s4023,s1016,s2825,s1769,s821,s2901,s4877]) ).
cnf(s5381,plain,
( ~ spl2_377
| ~ spl2_133
| spl2_353
| spl2_103
| ~ spl2_77
| spl2_139
| ~ spl2_98 ),
inference(rat,[],[s4452,s2499,s4748,s3784,s4076,s4365,s2943,s2935,s4335,s111,s831]) ).
cnf(s5382,plain,
( ~ spl2_133
| ~ spl2_217
| ~ spl2_250
| spl2_147
| ~ spl2_149
| spl2_155
| spl2_353
| ~ spl2_395
| ~ spl2_130
| spl2_103
| spl2_13
| spl2_109
| spl2_10
| spl2_139
| ~ spl2_98
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4369,s2681,s1148,s4786,s1149,s821,s5380,s4877,s2663,s5381,s565,s3030,s1667,s5123,s1418,s1421,s1123,s933,s1170,s3490,s4807,s152,s2824,s111,s831]) ).
cnf(s5383,plain,
( ~ spl2_354
| spl2_42
| spl2_133
| ~ spl2_18
| ~ spl2_232
| spl2_132 ),
inference(rat,[],[s4572,s1723,s2903,s4102]) ).
cnf(s5384,plain,
( ~ spl2_188
| ~ spl2_395
| spl2_13
| spl2_109
| ~ spl2_232
| spl2_10
| ~ spl2_112
| spl2_107
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1148,s4786,s4369,s1149,s821,s5380,s977,s4571,s2663,s981,s1240,s2943,s1769,s2497,s3784,s4273,s2499,s5383,s954,s5382,s955,s1519,s1467,s1238,s1706,s5379,s4402,s947,s5138,s5377,s831,s5340,s679,s1732,s4410,s4814,s681,s4883,s4305,s1552,s2505,s4787,s4465,s3666,s4827,s1318,s174,s2423,s2188,s4902,s1418,s1421,s4813,s933,s4794,s15,s1573,s4807,s152,s2824,s111,s1574,s4903,s3489,s1170,s3490,s112]) ).
cnf(s5385,plain,
( ~ spl2_155
| spl2_185
| ~ spl2_395
| ~ spl2_208
| ~ spl2_130
| spl2_103
| ~ spl2_27
| spl2_31
| spl2_109
| ~ spl2_232
| spl2_132
| ~ spl2_98
| ~ spl2_12
| spl2_118
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5127,s4585,s5061,s1238,s4644,s4811,s5068,s4547,s658,s897,s3213,s1421,s4902]) ).
cnf(s5386,plain,
( spl2_353
| ~ spl2_133
| ~ spl2_274
| ~ spl2_387
| spl2_198
| spl2_179
| ~ spl2_208
| spl2_103
| ~ spl2_77
| spl2_109
| ~ spl2_232
| spl2_139
| ~ spl2_98
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s2497,s2499,s1240,s2903,s2673,s2353,s2674,s2898,s1237,s2663,s2216,s5381,s831]) ).
cnf(s5387,plain,
( ~ spl2_353
| ~ spl2_245
| ~ spl2_306
| spl2_155
| spl2_31
| ~ spl2_12
| spl2_118 ),
inference(rat,[],[s4318,s2160,s4786,s1723,s1730,s1639,s3995,s4639,s4902]) ).
cnf(s5388,plain,
( ~ spl2_202
| ~ spl2_219
| ~ spl2_395
| spl2_15
| ~ spl2_106
| ~ spl2_130
| spl2_103
| spl2_13
| spl2_109
| ~ spl2_232
| spl2_10
| spl2_132
| spl2_139
| spl2_107
| ~ spl2_12
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s821,s5076,s1723,s4846,s5383,s4102,s4320,s2499,s2497,s1240,s2673,s2674,s1237,s2216,s5386,s831,s5387,s4811,s4101,s5069,s2547,s971,s1238,s955,s1519,s2545,s589,s1235,s4762,s1157,s1236,s4380,s4274,s5385,s3240,s4305,s681,s2505,s903,s4410,s3858,s899,s2109,s1331,s4646,s4630,s4575,s112,s2188,s4903,s3489,s1170,s4902,s1418,s3490,s1421,s4807,s15,s4591]) ).
cnf(s5389,plain,
( spl2_13
| spl2_109
| ~ spl2_232
| spl2_10
| ~ spl2_112
| spl2_107
| ~ spl2_12
| spl2_118
| spl2_26
| spl2_39
| spl2_1 ),
inference(rat,[],[s3241,s681,s2393,s4814,s772,s1732,s679,s5388,s539,s5384,s4894,s15,s1573,s4807,s152,s2824,s111,s4813,s1574,s933,s4903,s1418,s1170,s3489,s3490,s453,s4764,s5168,s112,s174,s2423,s1421]) ).
cnf(s5390,plain,
( spl2_109
| ~ spl2_232
| spl2_10
| spl2_22
| ~ spl2_112
| spl2_107
| ~ spl2_12
| spl2_118
| spl2_26
| spl2_39
| spl2_1 ),
inference(rat,[],[s3337,s1157,s947,s1236,s4879,s2333,s4507,s3154,s4915,s1458,s3858,s4644,s4645,s513,s745,s2393,s1169,s1170,s1171,s933,s4881,s4750,s5389,s5168]) ).
cnf(s5391,plain,
( spl2_13
| ~ spl2_109
| ~ spl2_112
| spl2_107
| ~ spl2_12
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s111,s4794,s1574,s1188,s4903,s1170,s1733,s3489,s3490]) ).
cnf(s5392,plain,
( ~ spl2_12
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s4879,s4507,s3206,s1458,s4756,s4644,s4051,s513,s745,s1223,s1169,s1170,s1182,s933,s934,s2617,s4881,s4750,s5391,s5390,s4805,s1112,s2423,s2413,s174,s5376,s112,s5314,s1421,s453,s5168,s1111]) ).
cnf(s5393,plain,
( spl2_13
| ~ spl2_114
| spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4028,s4645,s4484,s2393,s586,s772,s679,s3449,s2351,s5170,s4807,s1112,s3882,s4016,s1420,s860,s943,s15,s152,s3080,s1699,s3489,s937,s41,s1111,s17,s3446]) ).
cnf(s5394,plain,
( ~ spl2_10
| ~ spl2_13
| spl2_112
| ~ spl2_17
| ~ spl2_97
| spl2_1 ),
inference(rat,[],[s3042,s4002,s15,s152,s1420,s943,s1885,s1112]) ).
cnf(s5395,plain,
( ~ spl2_188
| ~ spl2_106
| ~ spl2_107
| ~ spl2_133
| spl2_10
| ~ spl2_13
| ~ spl2_111
| ~ spl2_114
| ~ spl2_17
| spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4645,s4896,s4829,s903,s2317,s3663,s745,s4864,s3085,s4787,s4465,s15,s3666,s4827,s5302,s4940,s1111,s4807]) ).
cnf(s5396,plain,
( ~ spl2_155
| ~ spl2_22
| ~ spl2_27
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4644,s3011,s897]) ).
cnf(s5397,plain,
( ~ spl2_273
| spl2_376
| ~ spl2_392
| ~ spl2_15
| ~ spl2_321
| spl2_198
| spl2_185
| spl2_345
| spl2_186
| ~ spl2_117
| ~ spl2_219
| spl2_112
| ~ spl2_23
| ~ spl2_4
| ~ spl2_6 ),
inference(rat,[],[s833,s4619,s831,s1714,s5247,s1240,s4028,s2673,s3439,s3241,s3240,s312,s5313,s977]) ).
cnf(s5398,plain,
( ~ spl2_187
| ~ spl2_15
| spl2_198
| spl2_185
| spl2_29
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4645,s4028,s4815,s585]) ).
cnf(s5399,plain,
( ~ spl2_15
| ~ spl2_321
| spl2_198
| spl2_185
| spl2_345
| ~ spl2_22
| spl2_29
| spl2_20
| spl2_186
| ~ spl2_117
| ~ spl2_219
| ~ spl2_232
| spl2_112
| spl2_12
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5397,s3449,s5362,s679,s5103,s4850,s3439,s3241,s3240,s681,s5398,s107,s5313]) ).
cnf(s5400,plain,
( ~ spl2_18
| spl2_155
| ~ spl2_366
| spl2_186
| ~ spl2_117
| spl2_31
| ~ spl2_208
| spl2_109
| ~ spl2_17
| spl2_118
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s3254,s4788,s2163,s4718,s833,s4639,s1238,s449,s831,s1467,s2397,s2396,s3827,s3080]) ).
cnf(s5401,plain,
( spl2_185
| ~ spl2_15
| spl2_345
| ~ spl2_22
| ~ spl2_77
| spl2_20
| spl2_186
| ~ spl2_117
| ~ spl2_219
| ~ spl2_232
| spl2_139
| spl2_112
| spl2_12
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4490,s3241,s2505,s681,s5399,s5398,s903,s1170]) ).
cnf(s5402,plain,
( ~ spl2_185
| spl2_197
| spl2_31
| ~ spl2_219
| ~ spl2_107
| ~ spl2_133
| ~ spl2_114
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s4864,s717,s691,s4814,s681,s3240,s3663,s756,s4671]) ).
cnf(s5403,plain,
( ~ spl2_15
| ~ spl2_77
| ~ spl2_27
| spl2_185
| spl2_186
| ~ spl2_117
| ~ spl2_219
| ~ spl2_232
| spl2_139
| ~ spl2_13
| spl2_112
| spl2_12
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5401,s5366,s4750,s67,s3797,s645]) ).
cnf(s5404,plain,
( ~ spl2_22
| ~ spl2_18
| ~ spl2_27
| spl2_186
| ~ spl2_117
| spl2_31
| ~ spl2_208
| spl2_109
| ~ spl2_17
| spl2_118
| spl2_39
| spl2_1 ),
inference(rat,[],[s5400,s977,s5396,s5366,s453,s1,s5168]) ).
cnf(s5405,plain,
( ~ spl2_18
| ~ spl2_27
| ~ spl2_288
| spl2_186
| ~ spl2_117
| spl2_31
| ~ spl2_208
| ~ spl2_13
| spl2_109
| ~ spl2_17
| spl2_118
| spl2_39
| spl2_1 ),
inference(rat,[],[s935,s679,s681,s1446,s1896,s3336,s4750,s5404,s3080,s5168]) ).
cnf(s5406,plain,
( ~ spl2_274
| ~ spl2_321
| spl2_345
| ~ spl2_22
| ~ spl2_15
| spl2_185
| spl2_186
| ~ spl2_117
| ~ spl2_232
| spl2_112
| spl2_12
| ~ spl2_6 ),
inference(rat,[],[s833,s4619,s831,s1714,s5247,s1240,s3449,s2672,s5362,s679,s4028,s5103,s3117,s3439,s312,s107,s5313,s977]) ).
cnf(s5407,plain,
( ~ spl2_27
| spl2_185
| spl2_197
| spl2_186
| ~ spl2_117
| spl2_31
| ~ spl2_219
| ~ spl2_106
| ~ spl2_232
| spl2_132
| spl2_139
| spl2_10
| ~ spl2_13
| spl2_112
| spl2_12
| spl2_118
| spl2_26
| spl2_39
| spl2_1 ),
inference(rat,[],[s772,s4479,s2393,s3211,s4645,s1237,s4028,s1683,s585,s5399,s843,s1168,s1769,s2632,s831,s5243,s4864,s691,s681,s3240,s5406,s2505,s5277,s4661,s111,s977,s120,s1285,s5366,s745,s4750,s5403,s67,s15,s5405,s453,s4764,s5168,s17,s312,s5313,s3135,s4881,s4807,s3797,s645]) ).
cnf(s5408,plain,
( ~ spl2_273
| spl2_194
| ~ spl2_116
| ~ spl2_22
| ~ spl2_15
| spl2_185
| spl2_186
| ~ spl2_117
| spl2_188
| ~ spl2_232
| spl2_139
| spl2_112
| spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2504,s4788,s4532,s1023,s953,s4812,s4848,s4101,s513,s2529,s4644,s1592,s5187,s1139,s1235,s4762,s1683,s1237,s3211,s843,s828,s5359,s1171,s3435,s2634,s5103,s2393,s5406,s3439,s3241,s3240,s17,s107,s5313,s539,s2505]) ).
cnf(s5409,plain,
( ~ spl2_155
| ~ spl2_211
| spl2_196
| ~ spl2_368
| ~ spl2_360
| spl2_21
| ~ spl2_13
| spl2_109
| spl2_118 ),
inference(rat,[],[s4382,s1016,s1236,s955,s4788,s766,s3338,s1024,s4884,s687]) ).
cnf(s5410,plain,
( ~ spl2_178
| spl2_155
| ~ spl2_382
| ~ spl2_350
| ~ spl2_116
| ~ spl2_25
| ~ spl2_111
| spl2_118 ),
inference(rat,[],[s4848,s513,s953,s4756,s1041,s2210]) ).
cnf(s5411,plain,
( spl2_345
| ~ spl2_350
| ~ spl2_174
| ~ spl2_187
| ~ spl2_321
| ~ spl2_116
| spl2_77
| ~ spl2_24
| ~ spl2_25
| spl2_21
| ~ spl2_15
| spl2_185
| spl2_186
| ~ spl2_117
| ~ spl2_219
| ~ spl2_232
| ~ spl2_13
| spl2_112
| spl2_12
| spl2_118
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1148,s4786,s955,s1149,s1150,s1024,s4788,s5410,s5409,s4479,s2553,s3211,s1237,s4028,s1683,s585,s5399,s821,s843,s1168,s2206,s3160,s1769,s1637,s2353,s2632,s3170,s977,s17,s312,s107,s5313,s3797,s645,s4750,s1285]) ).
cnf(s5412,plain,
( ~ spl2_15
| spl2_27
| spl2_185
| spl2_197
| spl2_186
| ~ spl2_117
| spl2_31
| spl2_188
| ~ spl2_106
| ~ spl2_232
| spl2_132
| spl2_139
| spl2_10
| ~ spl2_13
| spl2_112
| spl2_12
| spl2_118
| spl2_26
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1237,s3569,s1683,s2663,s5398,s2898,s843,s1168,s2353,s3435,s2634,s5411,s831,s5243,s4864,s691,s681,s5408,s2505,s5277,s4661,s111,s120,s4793,s4750,s4593,s3882,s67,s5313,s3135,s4881,s4807,s539]) ).
cnf(s5413,plain,
( spl2_31
| spl2_188
| ~ spl2_106
| ~ spl2_107
| ~ spl2_232
| spl2_132
| spl2_139
| spl2_10
| ~ spl2_13
| spl2_112
| spl2_12
| spl2_118
| spl2_26
| spl2_39
| spl2_1 ),
inference(rat,[],[s935,s679,s681,s1446,s1896,s3336,s4793,s745,s3085,s3080,s15,s5412,s5407,s645,s5402,s254,s1360,s641,s4671,s453,s4764,s5168,s17,s312,s5114,s4881,s539]) ).
cnf(s5414,plain,
( ~ spl2_106
| ~ spl2_107
| spl2_132
| spl2_139
| spl2_112
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s4838,s3858,s3752,s4645,s645,s2082,s3797,s681,s28,s5294,s120,s4416,s111,s1294,s5413,s539,s5395,s4764,s1111,s107,s5313,s5394,s17,s3135,s4881,s4805,s5393,s312,s5168,s453,s5392]) ).
cnf(s5415,plain,
( ~ spl2_107
| spl2_132
| spl2_139
| spl2_112
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1958,s4028,s691,s585,s681,s721,s5408,s2505,s5189,s5402,s539,s4750,s254,s1360,s4671,s5302,s67,s642,s1294,s15,s4672,s111,s3042,s2801,s2377,s4002,s429,s152,s5414,s4764,s1111,s17,s107,s5114,s4881,s4805,s5393,s312,s5392,s5168,s453]) ).
cnf(s5416,plain,
( spl2_132
| spl2_139
| spl2_112
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s513,s4644,s4848,s1458,s2826,s4385,s5396,s4750,s3882,s67,s4661,s15,s152,s4417,s3080,s2849,s2827,s938,s112,s5415,s1346,s4881,s4805,s1111,s17,s5393,s312,s5392,s5168,s453]) ).
cnf(s5417,plain,
( ~ spl2_29
| ~ spl2_22
| ~ spl2_15
| ~ spl2_17
| spl2_118
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1024,s1149,s3160,s4788,s4786,s1637,s3254,s4318,s3011,s977,s4921,s4635,s2165,s4644,s3435,s1769,s513,s745,s1168,s1169,s1170]) ).
cnf(s5418,plain,
( ~ spl2_366
| ~ spl2_306
| ~ spl2_154
| ~ spl2_211
| spl2_155
| spl2_278
| ~ spl2_219
| ~ spl2_98
| spl2_139
| ~ spl2_13
| spl2_109
| ~ spl2_114
| spl2_12
| spl2_118 ),
inference(rat,[],[s4788,s3254,s1023,s2160,s4890,s5039,s2966,s3480,s3219,s17,s938]) ).
cnf(s5419,plain,
( spl2_185
| ~ spl2_24
| spl2_21
| ~ spl2_15
| ~ spl2_102
| ~ spl2_132
| spl2_139
| ~ spl2_13
| spl2_109
| ~ spl2_114
| spl2_12
| spl2_118
| spl2_39
| spl2_1 ),
inference(rat,[],[s1240,s2521,s1672,s2634,s977,s5418,s4374,s3478,s1235,s4226,s920,s4849,s5258,s449,s4756,s1706,s3931,s4051,s1238,s861,s657,s688,s2826,s4385,s5116,s745,s4814,s903,s4724,s4490,s765,s2496,s4645,s4787,s4028,s4026,s3960,s3903,s2831,s4487,s539,s2248,s3446,s1294,s111,s2824,s112,s862,s5417,s4750,s17,s453,s4764,s5168]) ).
cnf(s5420,plain,
( ~ spl2_27
| ~ spl2_377
| ~ spl2_192
| ~ spl2_174
| spl2_211
| spl2_393
| ~ spl2_22
| spl2_109
| spl2_118
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s5361,s5396,s5366]) ).
cnf(s5421,plain,
( spl2_345
| ~ spl2_25
| spl2_490
| spl2_406
| spl2_211
| ~ spl2_198
| spl2_109 ),
inference(rat,[],[s1683,s1237,s1769,s4621,s4921,s977]) ).
cnf(s5422,plain,
( ~ spl2_188
| ~ spl2_205
| ~ spl2_98
| ~ spl2_15
| ~ spl2_132
| ~ spl2_13
| spl2_109
| ~ spl2_114
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4786,s3475,s4095,s2634,s5421,s955,s3338,s4884,s5258,s3882,s5420,s2774,s2943,s2469,s1706,s4051,s2663,s1238,s2880,s861,s5362,s5359,s4479,s4787,s4226,s4819,s4026,s3198,s4940,s1318,s152,s860,s4750,s67]) ).
cnf(s5423,plain,
( spl2_139
| spl2_112
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1240,s2521,s1672,s2634,s977,s5418,s4808,s4226,s4480,s679,s4374,s3476,s3478,s1235,s920,s449,s3931,s1706,s1238,s861,s657,s688,s2826,s4385,s5116,s765,s4787,s4026,s4814,s3903,s681,s2831,s3240,s4487,s539,s5422,s4484,s756,s5419,s1294,s111,s2824,s938,s112,s862,s5417,s4750,s4593,s67,s15,s3042,s4002,s152,s860,s5416,s4764,s1111,s5313,s3446,s5394,s5393,s312,s5168,s453,s17,s5392]) ).
cnf(s5424,plain,
( spl2_345
| ~ spl2_154
| spl2_155
| ~ spl2_25
| ~ spl2_132
| ~ spl2_98
| ~ spl2_192
| ~ spl2_114
| spl2_12
| spl2_118 ),
inference(rat,[],[s1023,s4788,s1769,s3254,s4921,s2163,s2943,s2663,s2880,s846,s3480,s3219,s977]) ).
cnf(s5425,plain,
( spl2_185
| spl2_182
| ~ spl2_22
| ~ spl2_24
| ~ spl2_132
| spl2_21
| ~ spl2_15
| ~ spl2_98
| ~ spl2_102
| ~ spl2_192
| ~ spl2_174
| spl2_109
| ~ spl2_114
| spl2_12
| spl2_118
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1240,s2521,s1672,s2634,s5424,s4812,s449,s4226,s3931,s4756,s5258,s5116,s745,s4814,s903,s2082,s4819,s4724,s2393,s2496,s4645,s539,s4028,s2248,s3446,s765,s4051,s1706,s5417,s17]) ).
cnf(s5426,plain,
( spl2_112
| spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s1240,s2521,s1672,s2634,s5424,s3882,s4808,s4226,s772,s4480,s679,s4374,s3476,s3478,s1235,s920,s970,s449,s3931,s5116,s4814,s2012,s3903,s681,s2831,s3240,s4487,s539,s5422,s4484,s5425,s4950,s5417,s4750,s4593,s4016,s67,s15,s1346,s3042,s2827,s938,s4002,s1706,s1552,s765,s112,s152,s1238,s4787,s173,s943,s1120,s3469,s5423,s5394,s5393,s3446,s5313,s312,s453,s5168,s1111,s17,s5392]) ).
cnf(s5427,plain,
( spl2_13
| ~ spl2_112
| ~ spl2_17
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4416,s4016,s1574,s2423,s3882,s1420,s15,s3080,s3489,s937,s1111]) ).
cnf(s5428,plain,
( ~ spl2_393
| ~ spl2_50 ),
inference(rat,[],[s935,s679,s681,s1446,s1896]) ).
cnf(s5429,plain,
( ~ spl2_188
| ~ spl2_106
| ~ spl2_114
| ~ spl2_133
| ~ spl2_21
| spl2_10
| spl2_118 ),
inference(rat,[],[s4465,s5196,s4827,s4807]) ).
cnf(s5433,plain,
( spl2_306
| ~ spl2_50
| ~ spl2_337
| spl2_118 ),
inference(rat,[],[s449,s2397,s3205,s3206]) ).
cnf(s5434,plain,
( spl2_237
| ~ spl2_106
| ~ spl2_188
| spl2_109
| ~ spl2_107
| ~ spl2_306
| ~ spl2_185
| ~ spl2_395
| ~ spl2_18
| ~ spl2_13
| spl2_10
| ~ spl2_17
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s5208,s4833,s4644,s2107,s4661,s111,s4829,s3752,s4645,s4763,s449,s1078,s955,s1858,s4602,s1235,s1236,s2513,s3554,s4832,s3154,s5428,s3080,s756,s941,s4940,s2505,s4838,s4465,s4827]) ).
cnf(s5435,plain,
( ~ spl2_106
| ~ spl2_188
| spl2_109
| ~ spl2_107
| ~ spl2_232
| ~ spl2_306
| ~ spl2_185
| ~ spl2_395
| ~ spl2_18
| ~ spl2_13
| spl2_10
| ~ spl2_17
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1460,s4644,s5209,s1458,s5434]) ).
cnf(s5436,plain,
( ~ spl2_194
| ~ spl2_116
| ~ spl2_232
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2393,s4645,s718,s3858]) ).
cnf(s5437,plain,
( ~ spl2_188
| spl2_109
| ~ spl2_107
| ~ spl2_232
| ~ spl2_306
| ~ spl2_185
| spl2_29
| ~ spl2_395
| ~ spl2_18
| ~ spl2_133
| ~ spl2_13
| spl2_10
| spl2_139
| ~ spl2_17
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s513,s4644,s4848,s1458,s4832,s2513,s2505,s5436,s1235,s1858,s5253,s4671,s1294,s4672,s111,s2377,s429,s152,s5435,s4827]) ).
cnf(s5438,plain,
( ~ spl2_366
| ~ spl2_195
| ~ spl2_42
| spl2_31
| ~ spl2_208
| ~ spl2_187
| spl2_109
| ~ spl2_107
| ~ spl2_50 ),
inference(rat,[],[s3569,s1237,s2499,s2663,s1684,s1677,s4877,s4639,s821,s831,s805,s2396]) ).
cnf(s5439,plain,
( spl2_31
| ~ spl2_106
| ~ spl2_187
| ~ spl2_319
| spl2_109
| ~ spl2_107
| ~ spl2_306
| ~ spl2_185
| ~ spl2_77
| ~ spl2_50
| ~ spl2_395
| ~ spl2_18
| ~ spl2_13
| spl2_10
| spl2_118
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4877,s821,s2663,s2556,s3569,s1237,s2499,s1684,s1677,s4639,s831,s5250,s5251,s977,s5438,s4864,s4787,s4936,s1690,s4482,s4645,s2251,s955,s1078,s4885,s449,s4602,s920,s1236,s1235,s3554,s2513,s4838,s2505,s717,s4832,s3154,s4814,s5209,s585,s1170,s4807]) ).
cnf(s5440,plain,
( ~ spl2_31
| ~ spl2_187
| ~ spl2_232
| ~ spl2_185
| spl2_139
| ~ spl2_17
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4838,s3858,s3752,s4645,s111,s2082,s1294]) ).
cnf(s5441,plain,
( spl2_196
| ~ spl2_102
| spl2_182
| spl2_128
| ~ spl2_107
| spl2_118
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4936,s4787,s1690,s1958,s4645]) ).
cnf(s5442,plain,
( ~ spl2_107
| ~ spl2_232
| ~ spl2_306
| ~ spl2_185
| ~ spl2_77
| ~ spl2_395
| ~ spl2_18
| ~ spl2_133
| spl2_120
| ~ spl2_13
| spl2_10
| spl2_139
| spl2_12
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s513,s4644,s4848,s1458,s3154,s3554,s1236,s4602,s2251,s5441,s4672,s2377,s5253,s4838,s429,s152,s717,s5439,s4814,s4671,s5440,s585,s681,s3240,s4468,s539,s5437,s492,s318,s347,s3080,s1170,s756,s17]) ).
cnf(s5443,plain,
( spl2_345
| ~ spl2_42
| ~ spl2_106
| spl2_107
| ~ spl2_133
| spl2_10
| ~ spl2_17 ),
inference(rat,[],[s4320,s4846,s2499,s821,s4652,s805,s2526,s977]) ).
cnf(s5444,plain,
( ~ spl2_188
| ~ spl2_245
| spl2_109
| spl2_107
| ~ spl2_232
| ~ spl2_306
| ~ spl2_185
| ~ spl2_77
| ~ spl2_395
| ~ spl2_18
| ~ spl2_133
| ~ spl2_13
| spl2_10
| ~ spl2_17
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1237,s1683,s3569,s4662,s2499,s2663,s4320,s4877,s4846,s5155,s5251,s5443,s955,s4833,s4584,s1458,s1551,s3154,s3554,s1236,s4602,s1711,s4819,s4481,s4864,s4838,s4787,s4465,s3666,s4827,s4940,s5061,s4807,s152,s2827,s112,s1346]) ).
cnf(s5446,plain,
( ~ spl2_382
| spl2_406
| ~ spl2_362
| spl2_103
| ~ spl2_156
| ~ spl2_396
| spl2_268
| spl2_118 ),
inference(rat,[],[s4608,s3546,s4788,s831,s2514,s3784]) ).
cnf(s5447,plain,
( spl2_109
| spl2_31
| spl2_107
| ~ spl2_232
| spl2_132
| ~ spl2_306
| ~ spl2_185
| ~ spl2_77
| ~ spl2_395
| ~ spl2_18
| ~ spl2_133
| ~ spl2_13
| spl2_10
| ~ spl2_17
| spl2_118
| spl2_26
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s1240,s2521,s4331,s2903,s2499,s5446,s1637,s5251,s5443,s4482,s2764,s3858,s4596,s2505,s1756,s2513,s1238,s4832,s3669,s1458,s2271,s3478,s1235,s920,s4814,s681,s3240,s539,s5444,s4811,s970,s5061,s5197,s3080,s1170,s756,s4807,s152,s2827,s112,s1346]) ).
cnf(s5448,plain,
( ~ spl2_109
| ~ spl2_36
| spl2_120
| spl2_12 ),
inference(rat,[],[s1049,s372]) ).
cnf(s5449,plain,
( spl2_132
| ~ spl2_306
| ~ spl2_185
| ~ spl2_77
| ~ spl2_395
| ~ spl2_18
| ~ spl2_133
| spl2_120
| ~ spl2_13
| spl2_139
| spl2_12
| spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4838,s3858,s3752,s4645,s2393,s111,s2012,s1294,s5447,s5442,s4805,s1111,s1112,s5428,s5448,s54,s3080,s17]) ).
cnf(s5450,plain,
( spl2_118
| ~ spl2_97
| spl2_39
| spl2_1 ),
inference(rat,[],[s2827,s112,s152,s862,s860,s5449,s5433,s645,s3336,s5428,s1170,s745,s3085,s3080,s4894,s1346,s15,s1687,s67,s308,s934,s4750,s5427,s2413,s174,s5426,s17,s5392,s453,s4764,s5168,s1111]) ).
cnf(s5451,plain,
( spl2_18
| spl2_112
| ~ spl2_159
| ~ spl2_13
| ~ spl2_25
| ~ spl2_95
| spl2_10
| ~ spl2_118
| ~ spl2_97 ),
inference(rat,[],[s4507,s688,s4774,s861,s123,s1238,s1593,s4912,s3247,s603,s3011,s4778,s4750,s636,s388,s67,s4783,s15,s1111,s1261,s3052,s312,s5313]) ).
cnf(s5452,plain,
( ~ spl2_232
| spl2_112
| spl2_185
| ~ spl2_159
| ~ spl2_13
| ~ spl2_25
| ~ spl2_31
| spl2_139
| ~ spl2_118 ),
inference(rat,[],[s2299,s2393,s2209,s2012,s47,s5428,s4778,s3566,s4507,s603,s1315,s1458,s2617,s4881,s111,s1294,s3052,s1235,s4780,s5313]) ).
cnf(s5453,plain,
( spl2_112
| spl2_185
| ~ spl2_13
| spl2_20
| ~ spl2_31
| ~ spl2_107
| ~ spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s2209,s556,s4593,s3077,s2393,s5309,s2800,s1171,s4796,s152,s862,s860,s4805,s5452,s1111,s1112,s111,s1294,s173,s4644,s3052,s28,s645]) ).
cnf(s5454,plain,
( spl2_185
| ~ spl2_13
| spl2_20
| ~ spl2_31
| ~ spl2_107
| ~ spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s3566,s1315,s5428,s4881,s3336,s4805,s4750,s2423,s2413,s5453,s645,s111,s1294,s173,s28]) ).
cnf(s5455,plain,
( ~ spl2_232
| ~ spl2_196
| ~ spl2_224
| ~ spl2_111
| ~ spl2_185
| ~ spl2_159
| ~ spl2_153
| ~ spl2_13
| ~ spl2_31 ),
inference(rat,[],[s679,s2083,s1511,s2299,s4507,s3209,s3858,s1458,s4881]) ).
cnf(s5456,plain,
( spl2_112
| ~ spl2_185
| ~ spl2_159
| spl2_42
| ~ spl2_13
| spl2_20
| ~ spl2_31
| spl2_139
| ~ spl2_118
| ~ spl2_97 ),
inference(rat,[],[s1238,s3247,s861,s3011,s688,s4750,s4507,s67,s4774,s5309,s123,s152,s860,s4805,s5455,s4482,s1235,s5451,s4780,s5313,s107,s312,s1111,s1112,s1261,s3052,s28,s111,s1294]) ).
cnf(s5457,plain,
( ~ spl2_12
| ~ spl2_31
| ~ spl2_107
| ~ spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s3858,s4915,s2393,s4482,s2196,s1171,s15,s4881,s933,s67,s4805,s4750,s2423,s2413,s5456,s5454,s4644,s3052,s2236,s3490,s28,s1418,s1421,s1111,s173]) ).
cnf(s5458,plain,
( spl2_13
| ~ spl2_17
| ~ spl2_31
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s1420,s15,s1418,s3080,s3490,s937]) ).
cnf(s5459,plain,
( spl2_112
| ~ spl2_13
| ~ spl2_11
| ~ spl2_17
| ~ spl2_31
| ~ spl2_107
| ~ spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4644,s5456,s3052,s2236,s5454,s28,s4738,s4778,s26,s638,s173]) ).
cnf(s5460,plain,
( ~ spl2_107
| ~ spl2_152
| ~ spl2_118
| ~ spl2_97
| ~ spl2_23
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s4738,s28,s134,s3085,s4416,s15,s1687,s67,s934,s4750,s2413,s5459,s5458,s5,s17,s5457,s1294,s4671,s641,s173,s1111]) ).
cnf(s5461,plain,
( ~ spl2_157
| spl2_10
| ~ spl2_79 ),
inference(rat,[],[s2268,s4584]) ).
cnf(s5462,plain,
( spl2_112
| spl2_157
| spl2_10
| ~ spl2_42
| ~ spl2_35
| spl2_31
| ~ spl2_12
| spl2_13
| ~ spl2_98
| ~ spl2_118
| spl2_26
| spl2_1 ),
inference(rat,[],[s1238,s4923,s1519,s2207,s941,s3213,s4402,s4811,s4779,s831,s3784,s2943,s2499,s2663,s4320,s4877,s4846,s821,s5120,s456,s2793,s4894,s4912,s4783,s4807,s860,s1593,s152,s1244,s4063,s5313,s312,s2188,s4902]) ).
cnf(s5463,plain,
( ~ spl2_12
| spl2_13
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s2272,s643,s1244,s2423,s5391,s5462,s5461,s1112,s4947,s1667,s4773,s4770,s1102,s1418,s933,s4903,s1123,s1421,s1111,s4784,s112,s5460,s5235,s5450,s5264,s4764,s5168,s3489,s1170,s3490,s453]) ).
cnf(s5464,plain,
( spl2_13
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s3882,s1102,s15,s148,s3080,s76,s17,s5463,s3489,s3490,s937,s453,s5168,s1111,s5450,s5264]) ).
cnf(s5465,plain,
( spl2_185
| ~ spl2_24
| spl2_139
| spl2_155
| ~ spl2_77
| ~ spl2_35
| ~ spl2_30
| ~ spl2_224
| spl2_109
| ~ spl2_114
| spl2_10
| ~ spl2_12
| ~ spl2_98
| ~ spl2_23
| spl2_1 ),
inference(rat,[],[s449,s4402,s1518,s4742,s4807,s1238,s1137,s152,s3247,s679,s2831,s1139,s4850,s4490,s3241,s4487,s2171,s539,s681,s2248,s4410,s903,s1421]) ).
cnf(s5466,plain,
( spl2_132
| ~ spl2_185
| ~ spl2_15
| spl2_139
| spl2_345
| ~ spl2_27
| ~ spl2_35
| spl2_31
| spl2_112
| ~ spl2_12
| spl2_107
| ~ spl2_97
| ~ spl2_4
| spl2_39
| ~ spl2_6 ),
inference(rat,[],[s2771,s4023,s4620,s1769,s1240,s4635,s679,s4331,s2966,s2903,s4245,s4596,s2499,s5104,s4086,s3209,s602,s4134,s4016,s4805,s107,s5313,s977]) ).
cnf(s5467,plain,
( ~ spl2_306
| ~ spl2_230
| ~ spl2_80
| ~ spl2_185
| ~ spl2_224
| spl2_157
| spl2_26 ),
inference(rat,[],[s2293,s4468,s2271,s2657,s4830,s955]) ).
cnf(s5468,plain,
( ~ spl2_133
| ~ spl2_80
| ~ spl2_132
| ~ spl2_185
| spl2_343
| ~ spl2_24
| ~ spl2_15
| spl2_139
| ~ spl2_366
| spl2_31
| spl2_112
| spl2_157
| ~ spl2_12
| spl2_107
| ~ spl2_118
| spl2_26
| ~ spl2_6 ),
inference(rat,[],[s5265,s4076,s4782,s4779,s449,s4402,s5467,s2935,s2663,s1236,s2880,s4602,s2966,s846,s3960,s2499,s5104,s4086,s3209,s602,s4134,s112,s107,s1235,s4780,s5313,s4778,s1103,s4902]) ).
cnf(s5469,plain,
( spl2_18
| spl2_139
| spl2_31
| spl2_112
| ~ spl2_12
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s3247,s1139,s1238,s3960,s861,s4602,s1157,s1236,s3050,s5468,s83,s64,s4063,s152,s860,s5466,s5465,s4767,s388,s4783,s15,s5461,s1885,s1421,s4784,s3051,s1235,s4780,s5313,s4778,s5396,s977,s5366,s4793,s745,s1666,s4773,s1103,s4902,s938,s112,s4750,s5355,s312,s5460,s5235,s5450,s4764,s1111,s5264,s5168,s5464,s453]) ).
cnf(s5470,plain,
( ~ spl2_232
| ~ spl2_395
| ~ spl2_18
| spl2_139
| ~ spl2_366
| ~ spl2_35
| spl2_31
| spl2_112
| ~ spl2_12
| ~ spl2_13
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4320,s4846,s152,s821,s4063,s5076,s4572,s4023,s1769,s4635,s2903,s2966,s2499,s4086,s602,s4881,s1885,s1421,s312]) ).
cnf(s5471,plain,
( spl2_194
| ~ spl2_133
| ~ spl2_105
| ~ spl2_102
| ~ spl2_18
| spl2_21
| ~ spl2_13
| ~ spl2_98
| spl2_1 ),
inference(rat,[],[s3198,s4226,s539,s679,s4487,s901,s2831]) ).
cnf(s5472,plain,
( ~ spl2_194
| spl2_198
| spl2_428
| spl2_139
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4645,s4829,s4490,s3960]) ).
cnf(s5473,plain,
( spl2_194
| ~ spl2_105
| ~ spl2_102
| ~ spl2_132
| ~ spl2_18
| spl2_155
| ~ spl2_224
| spl2_21
| spl2_109
| ~ spl2_114
| ~ spl2_13
| ~ spl2_98
| ~ spl2_118
| spl2_1 ),
inference(rat,[],[s1157,s861,s1236,s1238,s3050,s3247,s5471,s1139]) ).
cnf(s5474,plain,
( spl2_185
| ~ spl2_194
| spl2_139
| ~ spl2_77
| ~ spl2_13
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s5472,s903,s2317]) ).
cnf(s5475,plain,
( spl2_139
| spl2_31
| spl2_112
| ~ spl2_12
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s4854,s3322,s2324,s4315,s4076,s4779,s4402,s1703,s4485,s3117,s4482,s5474,s2935,s3050,s1236,s4602,s3960,s5473,s2663,s2880,s2966,s846,s4767,s2499,s2793,s4086,s4063,s2824,s309,s103,s152,s860,s4805,s5470,s4894,s5469,s1235,s4780,s5313,s4778,s977,s5366,s446,s5396,s4793,s745,s1666,s4773,s1103,s4902,s938,s112,s4750,s5355,s312,s5460,s5235,s5450,s4764,s453,s1111,s5264,s5464,s5168]) ).
cnf(s5476,plain,
( spl2_306
| spl2_421
| ~ spl2_24
| spl2_286
| ~ spl2_30 ),
inference(rat,[],[s449,s2725,s4402,s947]) ).
cnf(s5477,plain,
( ~ spl2_306
| spl2_343
| ~ spl2_241
| spl2_155
| ~ spl2_35
| spl2_112
| spl2_20
| ~ spl2_118 ),
inference(rat,[],[s4602,s586,s1236,s679,s3050,s1137,s1038,s4742,s1235,s4780,s5313]) ).
cnf(s5478,plain,
( spl2_31
| spl2_112
| ~ spl2_12
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s4854,s2324,s1941,s4076,s821,s3322,s2935,s2930,s4315,s2663,s2880,s3050,s846,s1236,s2499,s2819,s4087,s4585,s4782,s2491,s4779,s449,s4060,s4402,s2322,s947,s5477,s4677,s4767,s642,s3903,s2793,s111,s1139,s2824,s2827,s4002,s3247,s152,s1238,s943,s1120,s5475,s5396,s4793,s745,s1666,s4778,s4773,s1103,s4902,s1421,s938,s112,s1235,s4780,s5313,s4750,s5355,s312,s5460,s5235,s5450,s4764,s453,s1111,s5264,s5168,s5464]) ).
cnf(s5479,plain,
( spl2_112
| ~ spl2_12
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s4593,s636,s4773,s4027,s1666,s4493,s28,s5478,s938,s312,s112,s5460,s5235,s5450,s5264,s4764,s5168,s453,s1885,s1421,s5464]) ).
cnf(s5480,plain,
( ~ spl2_12
| spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s1157,s1236,s3337,s2333,s947,s3154,s1049,s4915,s2219,s1458,s145,s3858,s4506,s4644,s4497,s4645,s513,s745,s2393,s1169,s1170,s1171,s15,s933,s67,s308,s4805,s4750,s2423,s2413,s174,s5479,s5461,s1885,s1421,s5168,s1111,s4784,s5450,s5264,s5464]) ).
cnf(s5481,plain,
( spl2_112
| ~ spl2_11
| ~ spl2_17
| ~ spl2_13
| ~ spl2_98
| ~ spl2_118
| ~ spl2_97
| ~ spl2_4
| spl2_1 ),
inference(rat,[],[s636,s4783,s15,s3080,s4778,s938,s26,s5394,s312,s638]) ).
cnf(s5482,plain,
( ~ spl2_237
| spl2_132
| ~ spl2_152 ),
inference(rat,[],[s2217,s4847]) ).
cnf(s5483,plain,
( ~ spl2_306
| ~ spl2_199
| ~ spl2_321
| spl2_237
| ~ spl2_185
| ~ spl2_208
| spl2_109
| ~ spl2_395
| ~ spl2_133
| ~ spl2_98 ),
inference(rat,[],[s1235,s2513,s920,s4832,s5061]) ).
cnf(s5484,plain,
( spl2_147
| ~ spl2_208
| ~ spl2_50
| ~ spl2_133
| ~ spl2_17
| ~ spl2_98
| ~ spl2_118
| ~ spl2_4 ),
inference(rat,[],[s2663,s2898,s2935,s1637,s4076,s2204,s977,s2396,s4782,s4779,s449,s4738,s47,s134]) ).
cnf(s5485,plain,
( ~ spl2_321
| ~ spl2_306
| spl2_237
| ~ spl2_185
| ~ spl2_208
| spl2_31
| spl2_109
| ~ spl2_395
| ~ spl2_389
| ~ spl2_133
| ~ spl2_98 ),
inference(rat,[],[s4814,s681,s5483,s1836]) ).
cnf(s5486,plain,
( spl2_8
| spl2_39
| spl2_1 ),
inference(rat,[],[s4602,s1236,s4763,s4382,s4645,s3858,s3960,s2505,s5485,s941,s3205,s5484,s5482,s4805,s645,s4807,s860,s1418,s3336,s4738,s5448,s152,s745,s5428,s134,s54,s2827,s3085,s3080,s4894,s1346,s4134,s15,s1687,s955,s67,s308,s934,s5461,s4750,s1112,s2413,s174,s5481,s5,s17,s5480,s5464,s112,s5460,s5235,s4784,s5450,s1111,s5264,s453,s4764,s5168]) ).
cnf(s5487,plain,
( spl2_39
| spl2_1 ),
inference(rat,[],[s5114,s1573,s3048,s4807,s5450,s1112,s5213,s943,s4131,s5166,s3,s5486,s453,s1]) ).
cnf(s5488,plain,
( spl2_347
| spl2_9
| ~ spl2_77
| spl2_159
| ~ spl2_42
| spl2_470
| spl2_180
| spl2_372
| spl2_197
| ~ spl2_133
| ~ spl2_117
| spl2_132
| spl2_31
| ~ spl2_128
| ~ spl2_12
| spl2_112
| spl2_4
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s1238,s4965,s4970,s397,s312,s107,s5313,s4902,s4793,s933,s52]) ).
cnf(s5489,plain,
( ~ spl2_77
| spl2_360
| spl2_370
| ~ spl2_42
| spl2_180
| spl2_372
| spl2_197
| ~ spl2_107
| spl2_31
| ~ spl2_15
| ~ spl2_128
| ~ spl2_12
| spl2_112
| spl2_4
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s2663,s4878,s4619,s3314,s981,s5488,s1279,s4793,s312,s933,s862,s52,s319,s1377,s4902,s4179,s641,s4671,s5114,s748,s4966,s4593,s38]) ).
cnf(s5490,plain,
( spl2_347
| ~ spl2_304
| ~ spl2_25
| spl2_406
| ~ spl2_273
| spl2_274
| spl2_109 ),
inference(rat,[],[s1672,s1240,s4921,s1762,s1769]) ).
cnf(s5491,plain,
( ~ spl2_107
| spl2_31
| ~ spl2_15
| spl2_139
| spl2_13
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_4
| spl2_118
| spl2_1 ),
inference(rat,[],[s4062,s2555,s2543,s1237,s4076,s831,s1240,s2150,s4639,s1672,s4597,s1730,s977,s4656,s843,s4023,s5490,s4226,s586,s4672,s679,s4549,s4932,s745,s5489,s5267,s1716,s2353,s1604,s681,s1605,s5180,s3567,s1362,s566,s818,s627,s1239,s319,s641,s1377,s4671,s1339,s5487,s312,s107,s5313,s1421,s933,s52,s1392,s886,s4004,s3439,s1353,s4593,s38,s4964,s4288,s453,s4902]) ).
cnf(s5492,plain,
( spl2_185
| spl2_132
| spl2_346
| spl2_275
| spl2_406
| ~ spl2_367
| spl2_241
| spl2_286
| ~ spl2_27
| ~ spl2_481
| ~ spl2_98
| spl2_31
| ~ spl2_220
| spl2_139
| spl2_123
| spl2_21
| ~ spl2_12
| spl2_112
| spl2_118 ),
inference(rat,[],[s4786,s2757,s3649,s4597,s2499,s4969,s2682,s4847,s831,s4279,s953,s5387,s3213,s4402,s4811,s449,s4386,s1236,s4648,s4936,s4787,s4481,s4062,s3960,s2505,s2697,s681,s4410,s107,s5313,s4902,s4945,s312]) ).
cnf(s5493,plain,
( ~ spl2_239
| ~ spl2_230
| ~ spl2_194
| ~ spl2_185
| spl2_132
| ~ spl2_183
| spl2_275
| spl2_406
| spl2_286
| spl2_186
| ~ spl2_133
| ~ spl2_27
| ~ spl2_77
| ~ spl2_98
| spl2_31
| spl2_274
| spl2_139
| ~ spl2_12
| spl2_109
| spl2_118 ),
inference(rat,[],[s4788,s2129,s3353,s5381,s831,s5340,s681,s3477,s4836,s1235,s658,s898,s4746,s4279,s4677,s772,s718,s4386,s1421,s4596]) ).
cnf(s5494,plain,
( ~ spl2_133
| ~ spl2_27
| spl2_107
| spl2_31
| ~ spl2_10
| spl2_139
| spl2_13
| spl2_97
| spl2_21
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4786,s2757,s3649,s4597,s2499,s4969,s2682,s4847,s831,s4279,s953,s5387,s3213,s4402,s4811,s449,s5493,s1236,s4648,s4936,s4787,s3960,s4954,s5104,s3209,s5492,s861,s1238,s4945,s2164,s1705,s2353,s828,s1227,s730,s1592,s1604,s748,s1605,s4966,s283,s814,s3567,s1241,s4134,s1315,s1339,s5487,s107,s5313,s886,s1331,s3439,s1353,s4964,s4288,s1103,s4902,s3891,s2851,s112,s312,s4004,s453]) ).
cnf(s5495,plain,
( spl2_185
| spl2_132
| spl2_133
| ~ spl2_481
| ~ spl2_30
| ~ spl2_220 ),
inference(rat,[],[s2697,s2505,s681,s4632,s4410,s645]) ).
cnf(s5496,plain,
( spl2_147
| ~ spl2_306
| spl2_347
| spl2_377
| ~ spl2_362
| ~ spl2_354
| ~ spl2_183
| spl2_241
| spl2_286
| ~ spl2_350
| spl2_186
| spl2_132
| spl2_20
| ~ spl2_111
| spl2_118 ),
inference(rat,[],[s658,s953,s4836,s4847,s2129,s3649,s4788,s4786,s1721,s1757,s4885,s449]) ).
cnf(s5497,plain,
( ~ spl2_147
| spl2_275
| ~ spl2_202
| ~ spl2_199
| spl2_31
| ~ spl2_12
| spl2_109 ),
inference(rat,[],[s3476,s1235,s3213,s920,s4811]) ).
cnf(s5498,plain,
( spl2_194
| spl2_132
| spl2_133
| ~ spl2_27
| ~ spl2_481
| ~ spl2_98
| spl2_31
| spl2_223
| spl2_196
| ~ spl2_10
| spl2_139
| spl2_97
| spl2_21
| ~ spl2_12
| spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s953,s658,s4104,s2730,s947,s5496,s5497,s4338,s4570,s1240,s4619,s4620,s2485,s2771,s4306,s5075,s2499,s1238,s5267,s2682,s4945,s1705,s1716,s828,s1227,s730,s1592,s1604,s748,s5362,s5359,s831,s283,s1511,s5340,s3015,s679,s4226,s4814,s4321,s681,s4883,s2505,s107,s5313,s1421,s886,s3439,s1103,s2851,s312,s4004,s319,s111,s4014,s5495,s4902,s1331]) ).
cnf(s5502,plain,
( ~ spl2_155
| spl2_306
| ~ spl2_120
| ~ spl2_27
| ~ spl2_98
| spl2_123
| spl2_20
| spl2_109 ),
inference(rat,[],[s2730,s1238,s658,s4193]) ).
cnf(s5504,plain,
( spl2_345
| spl2_490
| spl2_370
| ~ spl2_202
| ~ spl2_329
| spl2_112 ),
inference(rat,[],[s4331,s1240,s1542,s4620,s977,s107,s5313]) ).
cnf(s5505,plain,
( spl2_132
| spl2_133
| ~ spl2_27
| spl2_107
| spl2_31
| spl2_223
| spl2_196
| ~ spl2_10
| spl2_139
| spl2_97
| spl2_21
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4273,s2499,s831,s1769,s4306,s4639,s981,s2485,s1730,s5504,s2771,s5075,s5267,s1716,s1604,s1605,s814,s3015,s679,s1709,s4596,s5498,s5495,s4794,s111,s4014,s453,s1339,s5487,s107,s1421,s886,s1331,s1103,s4902,s112,s3891,s319]) ).
cnf(s5506,plain,
( spl2_31
| ~ spl2_15
| spl2_139
| spl2_13
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_4
| spl2_118
| spl2_1 ),
inference(rat,[],[s4945,s1227,s1238,s1110,s861,s4955,s860,s5505,s5494,s4903,s152,s2849,s1280,s112,s5491,s5487,s397,s312,s107,s5313,s933,s52,s886,s4004,s453,s1145,s1353,s4593,s38,s4964,s4288]) ).
cnf(s5507,plain,
( ~ spl2_31
| spl2_139
| spl2_123
| spl2_20
| spl2_112 ),
inference(rat,[],[s111,s4549,s1294,s28]) ).
cnf(s5508,plain,
( ~ spl2_132
| ~ spl2_27
| ~ spl2_98
| ~ spl2_106
| spl2_123
| ~ spl2_212
| spl2_112
| spl2_118 ),
inference(rat,[],[s4945,s1227,s1238,s1110,s861,s4955,s860,s397,s312,s107,s5313]) ).
cnf(s5509,plain,
( ~ spl2_10
| spl2_132
| ~ spl2_27
| spl2_133
| spl2_107
| spl2_139
| spl2_13
| spl2_97
| spl2_21
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5505,s1145,s1353,s4964,s4288,s5507,s4004,s453,s1421]) ).
cnf(s5510,plain,
( spl2_185
| ~ spl2_208
| spl2_103
| spl2_132
| spl2_133
| ~ spl2_98
| ~ spl2_30
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s4787,s3666,s1552,s539,s4883,s4196,s2505,s681,s4632,s4410,s645]) ).
cnf(s5511,plain,
( ~ spl2_194
| spl2_278
| spl2_10
| spl2_132
| ~ spl2_106
| ~ spl2_120
| spl2_13 ),
inference(rat,[],[s4370,s679,s539,s1709,s4827,s4596,s4465]) ).
cnf(s5512,plain,
( spl2_139
| spl2_13
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_4
| spl2_118
| spl2_1 ),
inference(rat,[],[s4481,s4787,s694,s3666,s2546,s4305,s2505,s5511,s899,s5510,s4807,s34,s5509,s4014,s5508,s4903,s2849,s4134,s112,s152,s1377,s309,s318,s4366,s15,s5506,s4902,s5507,s5487,s312,s5313,s1421,s933,s52,s886,s4004,s453,s1129,s492,s4288]) ).
cnf(s5513,plain,
( ~ spl2_139
| ~ spl2_39 ),
inference(rat,[],[s1280,s112,s152,s173,s943]) ).
cnf(s5514,plain,
( ~ spl2_10
| ~ spl2_27
| ~ spl2_116
| ~ spl2_4
| ~ spl2_128
| spl2_393
| spl2_376
| spl2_187
| spl2_186
| spl2_372
| ~ spl2_133
| ~ spl2_212
| ~ spl2_12
| spl2_112
| ~ spl2_6 ),
inference(rat,[],[s1511,s3209,s679,s4062,s772,s718,s2672,s2393,s1240,s4914,s1762,s3343,s3439,s4961,s1353,s107,s5313,s681]) ).
cnf(s5515,plain,
( spl2_13
| ~ spl2_107
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5171,s4807,s5514,s152,s4903,s4672,s4063,s2234,s2236,s4764,s1616,s3567,s5512,s4288,s886,s1239,s5313,s1362,s1605,s818,s1339,s1318,s539,s4196,s681,s5180,s627,s641,s107,s1392,s4671,s319,s1377,s4902,s312,s5507,s4004,s453,s5513,s1421,s5487]) ).
cnf(s5516,plain,
( spl2_4
| spl2_10
| ~ spl2_133
| ~ spl2_107
| spl2_97
| ~ spl2_12
| ~ spl2_114 ),
inference(rat,[],[s4063,s4130,s152,s15,s4807,s4593,s4187,s38,s1273]) ).
cnf(s5517,plain,
( spl2_185
| ~ spl2_77
| ~ spl2_4
| ~ spl2_13
| ~ spl2_188
| spl2_187
| ~ spl2_6 ),
inference(rat,[],[s4914,s3343,s4896,s4829,s903,s2317,s4940,s2557]) ).
cnf(s5518,plain,
( ~ spl2_77
| ~ spl2_107
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4826,s4098,s5318,s493,s1438,s5476,s1238,s4901,s5008,s1279,s4593,s1227,s4654,s730,s15,s5224,s4130,s4672,s111,s4063,s4002,s4898,s152,s4596,s4465,s1511,s3209,s5517,s679,s4226,s862,s933,s1170,s5313,s886,s3438,s1362,s3198,s4827,s539,s4196,s681,s5180,s627,s641,s107,s1392,s4671,s4764,s5516,s1885,s5515,s319,s1377,s4902,s5507,s4004,s453,s5513,s5487,s1421,s312]) ).
cnf(s5519,plain,
( ~ spl2_107
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s648,s4904,s1689,s1006,s4936,s679,s4787,s1454,s1859,s5327,s4593,s15,s4130,s2236,s745,s5518,s5516,s4827,s4940,s1885,s2557,s5515,s539,s4196,s681,s5180,s1362,s627,s319,s641,s1377,s4671,s312,s107,s1392,s4902,s5507,s4004,s453,s5513,s5487,s1421]) ).
cnf(s5520,plain,
( spl2_13
| spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5280,s15,s2505,s318,s5277,s5494,s4912,s4677,s4014,s2793,s111,s4764,s1616,s492,s5512,s4288,s5313,s5507,s5513,s1421,s933,s5508,s4903,s1170,s2851,s2849,s312,s152,s1280,s112,s5519,s5487,s4004,s453,s886]) ).
cnf(s5521,plain,
( ~ spl2_133
| spl2_10
| spl2_132
| spl2_107
| spl2_97
| ~ spl2_12
| ~ spl2_114
| spl2_118
| spl2_1 ),
inference(rat,[],[s4596,s2764,s111,s2505,s681,s4794,s4305,s4196,s4375,s2546,s539,s38,s5170,s4593,s15,s4366,s4134,s453,s4807,s152,s1280,s112,s5487]) ).
cnf(s5522,plain,
( ~ spl2_188
| ~ spl2_9
| ~ spl2_208
| ~ spl2_98
| spl2_123
| spl2_118 ),
inference(rat,[],[s4481,s4787,s694,s3666]) ).
cnf(s5523,plain,
( ~ spl2_349
| ~ spl2_9
| ~ spl2_208
| ~ spl2_98
| spl2_123 ),
inference(rat,[],[s4662,s2663,s3778,s4877]) ).
cnf(s5524,plain,
( spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4102,s2499,s1723,s4652,s2825,s3571,s821,s5523,s831,s5340,s4226,s4321,s681,s4196,s539,s5522,s4743,s4894,s4375,s15,s4794,s4593,s5510,s4661,s1593,s4014,s4747,s319,s5521,s4807,s1885,s2557,s5520,s5508,s4903,s933,s1170,s152,s2851,s2849,s1280,s112,s5519,s4902,s5507,s4004,s886,s453,s5513,s5487,s312,s5313,s1421]) ).
cnf(s5525,plain,
( spl2_4
| spl2_13
| ~ spl2_107
| spl2_10
| spl2_26
| ~ spl2_12
| spl2_112 ),
inference(rat,[],[s492,s1990,s318,s152,s1377,s15,s4807,s4902,s4593,s4187,s23,s38,s1273,s312,s5313]) ).
cnf(s5526,plain,
( ~ spl2_106
| spl2_25
| spl2_31
| spl2_13
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s955,s1858,s1768,s1235,s1238,s2171,s1515,s5089,s449,s4402,s947,s5321,s5337,s3663,s5284,s4864,s4894,s4787,s4027,s15,s3666,s5289,s4187,s4465,s4807,s453,s107,s5313,s4764,s5525,s1360,s4827,s1112,s5513,s4940,s539,s4196,s681,s5180,s254,s641,s5114,s4671,s319,s1377,s4902,s312,s5487,s1111,s4903,s4805,s862,s1170,s745,s5524]) ).
cnf(s5527,plain,
( spl2_25
| spl2_31
| spl2_13
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s2109,s2393,s3949,s674,s2505,s5280,s1859,s15,s4672,s318,s1616,s492,s1990,s152,s5526,s4805,s862,s1170,s745,s5313,s5525,s1111,s4827,s539,s4196,s681,s5180,s254,s641,s5114,s4671,s319,s1377,s4902,s312,s1112,s5524,s5513,s5487]) ).
cnf(s5528,plain,
( spl2_31
| spl2_13
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1689,s4936,s648,s4787,s2023,s4904,s5327,s4593,s1008,s4591,s1734,s5527,s4940,s539,s4196,s681,s5180,s1360,s254,s319,s641,s1377,s4671,s4902,s453,s312,s5114,s5525,s1112,s5513,s5487,s1111,s5524]) ).
cnf(s5529,plain,
( spl2_13
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1598,s1990,s4593,s4655,s1616,s4591,s111,s1734,s1294,s28,s5528,s5525,s2039,s453,s312,s5313,s1421,s1111,s1112,s5524,s5513,s5487]) ).
cnf(s5530,plain,
( spl2_4
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5059,s123,s152,s4805,s4807,s4672,s862,s4187,s385,s52,s1273,s453,s5313,s1111,s1112,s5524,s5513,s5487,s5529]) ).
cnf(s5531,plain,
( ~ spl2_77
| ~ spl2_188
| spl2_187
| ~ spl2_133
| ~ spl2_4
| ~ spl2_13
| ~ spl2_107
| ~ spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s1690,s4936,s4914,s4787,s3343,s4479,s5103,s4805,s4226,s4750,s3209,s862,s933,s5517,s1170,s312,s107,s3198,s4940,s1111]) ).
cnf(s5532,plain,
( ~ spl2_15
| ~ spl2_25
| ~ spl2_188
| ~ spl2_273
| ~ spl2_133
| spl2_10
| ~ spl2_97
| spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s3858,s3439,s4805,s1511,s3218,s4026,s3209,s679,s4787,s2248,s1859,s5327,s4593,s312,s107,s1318,s4827]) ).
cnf(s5533,plain,
( spl2_31
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s3439,s4829,s3218,s2317,s679,s5108,s4226,s4750,s4805,s5429,s860,s152,s5308,s4894,s15,s5532,s2236,s745,s5531,s4940,s3198,s1318,s539,s4196,s681,s5180,s254,s319,s641,s1377,s4671,s4902,s453,s312,s107,s5114,s5313,s1111,s1112,s5524,s5513,s5487,s5529,s5530]) ).
cnf(s5537,plain,
( ~ spl2_188
| ~ spl2_232
| ~ spl2_22
| ~ spl2_15
| ~ spl2_179
| ~ spl2_133
| ~ spl2_25
| spl2_10
| ~ spl2_111
| ~ spl2_6 ),
inference(rat,[],[s3439,s5103,s4916,s3209,s1859,s2248,s4827,s4593]) ).
cnf(s5538,plain,
( ~ spl2_196
| spl2_185
| ~ spl2_219
| ~ spl2_232
| ~ spl2_358
| spl2_376
| ~ spl2_15
| spl2_278
| ~ spl2_179
| spl2_109 ),
inference(rat,[],[s2903,s4919,s2521,s2515,s1240,s2672,s2505,s4028,s3858]) ).
cnf(s5539,plain,
( spl2_155
| ~ spl2_232
| ~ spl2_50
| ~ spl2_95
| ~ spl2_25
| ~ spl2_31
| ~ spl2_111
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s1458,s730,s953,s4509,s1261,s1459,s449,s2397]) ).
cnf(s5540,plain,
( ~ spl2_211
| ~ spl2_217
| ~ spl2_146
| ~ spl2_251
| spl2_188
| ~ spl2_22
| spl2_109 ),
inference(rat,[],[s4377,s1236,s766,s2040]) ).
cnf(s5541,plain,
( ~ spl2_232
| spl2_376
| spl2_21
| ~ spl2_15
| spl2_278
| ~ spl2_133
| ~ spl2_95
| ~ spl2_25
| ~ spl2_31
| ~ spl2_13
| spl2_10
| spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s3209,s5538,s5103,s3439,s4916,s5540,s955,s1592,s3338,s3011,s4884,s5539,s539,s5537,s107,s5313,s2393,s2012,s5428,s3566,s1315,s4750,s1769,s1253]) ).
cnf(s5542,plain,
( ~ spl2_15
| spl2_35
| spl2_278
| ~ spl2_133
| ~ spl2_25
| ~ spl2_31
| ~ spl2_13
| ~ spl2_97
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4517,s1720,s5327,s4787,s152,s4026,s860,s4805,s5541,s1605,s814,s636,s4593,s67,s453,s1339,s312,s1111,s1112,s2393,s2012,s5428,s3566,s1315,s111,s1294,s5513,s5487]) ).
cnf(s5543,plain,
( spl2_21
| spl2_268
| ~ spl2_155
| ~ spl2_232
| ~ spl2_18
| spl2_278
| ~ spl2_179
| ~ spl2_133
| spl2_42
| ~ spl2_25
| ~ spl2_13
| spl2_26
| spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s3439,s4916,s4829,s4226,s4940,s3198,s539,s3478,s1235,s4759,s2317,s645,s3011,s5108,s5056,s4750,s107,s5313]) ).
cnf(s5544,plain,
( spl2_15
| ~ spl2_133
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1458,s4507,s4833,s4879,s5433,s934,s5543,s513,s2014,s658,s687,s5539,s4805,s860,s152,s5309,s15,s453,s107,s1111,s5524,s5529,s2236,s2109,s2393,s2012,s5428,s3566,s1315,s28,s1421,s111,s1294,s5513,s5487,s5533,s5530]) ).
cnf(s5545,plain,
( ~ spl2_133
| ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4517,s1720,s5327,s4787,s4026,s4912,s1598,s603,s5542,s4593,s388,s5544,s2109,s2393,s2012,s5428,s3566,s1315,s312,s5313,s1112,s5524,s5529,s5530,s28,s1421,s111,s1294,s5533,s5513,s5487]) ).
cnf(s5546,plain,
( ~ spl2_192
| spl2_241
| ~ spl2_102
| ~ spl2_22
| spl2_128
| ~ spl2_114 ),
inference(rat,[],[s3011,s3247,s4592]) ).
cnf(s5547,plain,
( ~ spl2_107
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s953,s687,s688,s861,s1238,s5546,s1261,s513,s1169,s152,s862,s860,s4750,s4805,s308,s4881,s319,s5545,s1616,s111,s1294,s5533,s5530,s5529,s5513,s5487,s312,s107,s5313,s1111,s5524]) ).
cnf(s5548,plain,
( ~ spl2_188
| spl2_286
| ~ spl2_239
| ~ spl2_149
| ~ spl2_133
| ~ spl2_106
| spl2_10
| spl2_26
| ~ spl2_12
| spl2_112
| spl2_118 ),
inference(rat,[],[s3663,s4864,s4787,s5089,s4465,s3666,s4940,s4827,s312,s5313,s4807]) ).
cnf(s5549,plain,
( ~ spl2_133
| ~ spl2_395
| ~ spl2_18
| ~ spl2_95
| spl2_21
| ~ spl2_421
| ~ spl2_30
| spl2_13
| ~ spl2_98
| spl2_10
| spl2_26
| ~ spl2_12
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s679,s4370,s4226,s899,s4321,s4410,s681,s4196,s539,s5548,s4051,s1238,s1515,s449,s4402,s947,s5062,s745,s3566,s1315,s5313,s938,s312,s4807,s152,s1280]) ).
cnf(s5550,plain,
( ~ spl2_188
| ~ spl2_95
| ~ spl2_9
| ~ spl2_421
| ~ spl2_208
| ~ spl2_98
| spl2_10
| spl2_118 ),
inference(rat,[],[s4350,s4914,s2393,s4787,s1635,s694,s3666,s4827]) ).
cnf(s5551,plain,
( spl2_4
| spl2_31
| spl2_13
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4370,s4196,s539,s5550,s899,s5510,s5549,s4894,s15,s4661,s322,s4593,s933,s385,s34,s38,s52,s1273,s860,s1111,s4807,s152,s1280,s112,s5547,s1112,s5524,s5513,s5487,s4902]) ).
cnf(s5552,plain,
( ~ spl2_15
| ~ spl2_389
| ~ spl2_133
| ~ spl2_23
| ~ spl2_4
| spl2_31
| spl2_13
| ~ spl2_98
| ~ spl2_97
| ~ spl2_12
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s2901,s1769,s2663,s981,s4903,s2935,s977,s1171,s3566,s4076,s5371,s2393,s111,s4936,s1723,s2109,s2764,s4787,s1726,s831,s3949,s4596,s3960,s4479,s5340,s5104,s1732,s3209,s4814,s4410,s681,s814,s4196,s1244,s539,s4912,s5170,s4593,s388,s1339,s107,s5313,s938,s312,s4807,s1112,s5513,s4805,s860,s152,s1280,s1111,s1103,s4902,s1315]) ).
cnf(s5553,plain,
( ~ spl2_188
| spl2_194
| ~ spl2_27
| ~ spl2_18
| ~ spl2_133
| ~ spl2_23
| spl2_31
| spl2_13
| ~ spl2_232
| ~ spl2_98
| spl2_10
| spl2_26
| ~ spl2_12
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s4051,s1238,s5548,s1515,s449,s4402,s947,s5321,s5337,s681,s4410,s3663,s4864,s1552,s4787,s3666,s4827,s312,s107,s5313,s4807,s152,s1280,s4902]) ).
cnf(s5554,plain,
( spl2_194
| ~ spl2_27
| ~ spl2_18
| ~ spl2_389
| ~ spl2_133
| ~ spl2_23
| spl2_31
| spl2_13
| ~ spl2_232
| ~ spl2_98
| spl2_10
| spl2_26
| ~ spl2_12
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s5104,s3209,s4410,s681,s4196,s539,s5553,s107,s4902]) ).
cnf(s5555,plain,
( ~ spl2_133
| spl2_31
| spl2_13
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4814,s1732,s681,s679,s4196,s4630,s539,s1331,s4827,s3858,s4465,s5554,s4793,s745,s1734,s4591,s15,s5552,s4134,s453,s1112,s5513,s4805,s860,s152,s1280,s112,s5487,s4764,s5355,s5551,s312,s1111,s5524,s5547]) ).
cnf(s5556,plain,
( ~ spl2_349
| ~ spl2_350
| ~ spl2_326
| ~ spl2_387
| ~ spl2_106
| spl2_10
| spl2_109 ),
inference(rat,[],[s2497,s2499,s1240,s4320,s4571,s4846]) ).
cnf(s5557,plain,
( ~ spl2_188
| ~ spl2_387
| ~ spl2_321
| ~ spl2_77
| ~ spl2_395
| ~ spl2_386
| ~ spl2_18
| ~ spl2_185
| spl2_133
| spl2_31
| ~ spl2_232
| ~ spl2_106
| ~ spl2_98
| spl2_10
| spl2_26
| ~ spl2_12
| spl2_112
| spl2_118 ),
inference(rat,[],[s4340,s1237,s4273,s3211,s2499,s4748,s5383,s2825,s5120,s821,s5556,s831,s4479,s5340,s1732,s4814,s681,s4883,s1552,s4787,s3666,s4827,s1318,s312,s5313,s4807,s319,s111,s4014,s860]) ).
cnf(s5558,plain,
( spl2_31
| spl2_13
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1732,s4814,s679,s681,s4370,s4196,s539,s5557,s4305,s2505,s745,s5511,s1734,s899,s4894,s4794,s4591,s15,s111,s4016,s5510,s4014,s319,s5555,s5551,s4902,s453,s4807,s1112,s5513,s4805,s860,s152,s1280,s112,s5547,s5487,s1111,s5524]) ).
cnf(s5559,plain,
( spl2_13
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s2431,s4593,s4655,s4591,s111,s1734,s1294,s28,s23,s5558,s453,s1339,s5313,s1421,s1111,s1112,s5524,s5513,s5487,s1528,s5547,s312]) ).
cnf(s5560,plain,
( spl2_4
| spl2_31
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1235,s3478,s4746,s3011,s4596,s5107,s4051,s5104,s1238,s899,s3209,s1515,s4410,s449,s681,s4402,s947,s4196,s5101,s539,s745,s4894,s5550,s4655,s4027,s15,s4750,s4661,s322,s4593,s933,s385,s4743,s38,s52,s1273,s107,s5313,s1421,s1528,s312,s4807,s1112,s5513,s2617,s4134,s4881,s5559,s4805,s860,s152,s1280,s112,s5487,s1111,s5524,s5547,s4902]) ).
cnf(s5561,plain,
( ~ spl2_15
| spl2_31
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s814,s602,s1726,s4086,s1723,s977,s2499,s2556,s2634,s2903,s821,s1237,s2353,s4877,s3429,s2898,s2663,s5381,s745,s4655,s111,s4936,s2764,s4787,s831,s4596,s3960,s4479,s5340,s5104,s1732,s4468,s3209,s4814,s4410,s681,s4196,s539,s5170,s4593,s453,s1339,s107,s5313,s1528,s4807,s1112,s5513,s2617,s4134,s4881,s4805,s860,s152,s1280,s112,s5487,s1103,s4902,s4750,s5355,s5560,s312,s1111,s5524,s5547,s5559]) ).
cnf(s5562,plain,
( ~ spl2_188
| spl2_194
| ~ spl2_77
| ~ spl2_4
| ~ spl2_30
| ~ spl2_133
| ~ spl2_13
| ~ spl2_208
| ~ spl2_114
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s4410,s5517,s3663,s4864,s4787,s3666]) ).
cnf(s5563,plain,
( spl2_194
| spl2_31
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5104,s3209,s4410,s681,s4196,s539,s5562,s453,s107,s4807,s1112,s5513,s4134,s4881,s4805,s860,s4902,s745,s27,s7,s5561,s62,s5355,s5560,s312,s1111,s5524,s3573,s5559,s152,s1280,s112,s5487,s5547]) ).
cnf(s5564,plain,
( spl2_31
| ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4023,s2556,s1769,s821,s1237,s2901,s4877,s3429,s2663,s4936,s5381,s831,s4787,s5340,s5038,s4479,s1732,s5108,s4468,s3209,s2764,s4814,s4410,s681,s4196,s539,s4827,s4596,s4465,s3960,s5563,s745,s27,s7,s15,s5561,s62,s4750,s5355,s4764,s5560,s4902,s312,s107,s5313,s1421,s4807,s1112,s5513,s3573,s4881,s5559,s4805,s860,s152,s1280,s112,s5547,s5487,s1111,s5524]) ).
cnf(s5565,plain,
( ~ spl2_12
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s111,s4655,s1294,s28,s5564,s2617,s5559,s4805,s860,s152,s1280,s1528,s112,s5547,s1111,s5524,s1421,s5513,s5487,s312,s5313]) ).
cnf(s5567,plain,
( ~ spl2_205
| spl2_195
| spl2_182
| ~ spl2_116
| ~ spl2_107
| spl2_118 ),
inference(rat,[],[s4787,s4864,s4936,s718,s1689]) ).
cnf(s5568,plain,
( ~ spl2_273
| spl2_21
| spl2_77
| ~ spl2_116
| ~ spl2_155
| spl2_286
| spl2_360
| spl2_370
| spl2_406
| spl2_274
| ~ spl2_107
| spl2_31
| spl2_20
| spl2_112
| spl2_118 ),
inference(rat,[],[s4924,s1238,s548,s1438,s4811,s449,s4386,s5567,s3334,s3569,s4788,s1237,s4618,s2150,s4597,s977,s2663,s4656,s4878,s843,s3314,s1236,s5490,s766,s4226,s586,s679,s4932,s5313,s1360,s641,s4671,s5114,s745,s4884]) ).
cnf(s5569,plain,
( ~ spl2_133
| spl2_159
| spl2_360
| spl2_370
| spl2_406
| spl2_4
| spl2_97
| ~ spl2_106
| spl2_393
| ~ spl2_252
| spl2_13
| spl2_31
| spl2_20
| ~ spl2_17
| spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s3333,s4924,s1235,s1238,s4709,s4836,s1710,s4848,s1649,s3353,s4788,s4618,s4597,s977,s3170,s831,s5243,s4864,s2505,s717,s691,s4814,s681,s5568,s4978,s4977,s4677,s322,s4417,s4416,s937,s76,s471,s254,s1360,s641,s5114,s862,s52,s3439,s1353,s4807,s4187,s1273,s730,s658,s4975,s1592,s4671,s112,s3431,s5313,s1227,s886,s312]) ).
cnf(s5570,plain,
( spl2_187
| spl2_103
| spl2_133
| spl2_274
| ~ spl2_220
| spl2_132
| ~ spl2_71 ),
inference(rat,[],[s4632,s2505,s645,s4883,s676,s681]) ).
cnf(s5571,plain,
( ~ spl2_350
| ~ spl2_27
| spl2_21
| ~ spl2_155
| spl2_406
| ~ spl2_367
| ~ spl2_252
| spl2_118 ),
inference(rat,[],[s4597,s977,s5345,s799]) ).
cnf(s5572,plain,
( spl2_25
| spl2_21
| spl2_133
| ~ spl2_155
| spl2_406
| ~ spl2_367
| spl2_274
| ~ spl2_220
| spl2_132
| ~ spl2_107
| ~ spl2_71
| ~ spl2_252
| spl2_31
| spl2_112
| spl2_118 ),
inference(rat,[],[s3211,s1237,s2499,s1684,s1677,s4639,s831,s5571,s4479,s4226,s691,s4321,s5570,s4677,s4747,s743,s745,s312,s5313,s254,s641,s4671,s5114,s1688]) ).
cnf(s5573,plain,
( spl2_159
| spl2_4
| spl2_97
| spl2_13
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1238,s4836,s4924,s4848,s1649,s3324,s3353,s4788,s4618,s2499,s4597,s2663,s4102,s977,s4478,s1723,s3170,s1719,s831,s5243,s4864,s717,s691,s4814,s681,s5568,s4747,s4672,s111,s4549,s5572,s308,s319,s5569,s658,s4975,s1227,s730,s1592,s5313,s76,s4004,s254,s1360,s862,s52,s1331,s3439,s1353,s4979,s41,s828,s2353,s5267,s1716,s1604,s4807,s4187,s1273,s152,s1699,s453,s3446,s1605,s815,s641,s4671,s112,s3431,s312,s3865,s5114,s1339,s886,s107,s5513,s1420,s15,s3825,s17,s5565,s5487]) ).
cnf(s5574,plain,
( ~ spl2_322
| ~ spl2_33
| spl2_12
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s4385,s2537,s687,s1150]) ).
cnf(s5575,plain,
( ~ spl2_10
| spl2_97
| spl2_13
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s585,s5567,s676,s4484,s3663,s645,s3336,s4976,s3567,s1315,s4747,s4672,s862,s1170,s745,s1285,s1616,s1733,s4975,s5573,s1227,s730,s1592,s1331,s748,s1353,s5513,s5487,s5313,s937,s76,s17,s4979,s5574,s41,s453,s4288,s815,s1360,s4179,s567,s641,s4671,s112,s3431,s886,s312,s3865,s5565,s5114]) ).
cnf(s5576,plain,
( spl2_97
| spl2_13
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s681,s4814,s4196,s717,s539,s2505,s5170,s5280,s319,s1700,s4807,s4593,s5575,s112,s3431,s4288,s886,s15,s3825,s17,s5487,s3865,s152,s1699,s453,s3446,s5565,s312]) ).
cnf(s5577,plain,
( spl2_13
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4226,s4321,s745,s679,s681,s1285,s3449,s4196,s1733,s2351,s539,s34,s5170,s53,s4016,s4807,s4593,s860,s67,s1112,s1111,s5576,s825,s152,s1699,s937,s41,s453,s5513,s397,s3446,s312,s15,s3825,s17,s5565,s5487]) ).
cnf(s5578,plain,
( spl2_4
| ~ spl2_107
| spl2_97
| ~ spl2_13
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5025,s111,s4002,s4549,s152,s745,s4807,s1279,s4187,s4743,s1273,s397,s1885,s1420,s15,s3825,s17,s5565,s5487,s4004,s453]) ).
cnf(s5579,plain,
( ~ spl2_106
| ~ spl2_4
| ~ spl2_107
| ~ spl2_133
| spl2_123
| ~ spl2_96
| spl2_186
| spl2_197
| spl2_372
| spl2_10
| spl2_26
| spl2_31
| ~ spl2_17
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s1237,s3569,s1683,s843,s2663,s1769,s2898,s2822,s1637,s1723,s1726,s831,s5243,s4661,s111,s49,s4549,s745,s903,s4815,s1171,s2393,s2109,s1449,s4864,s717,s691,s4814,s645,s681,s5402,s4196,s539,s5170,s4807,s860,s1339,s312,s5313,s4593,s15,s3825,s4671]) ).
cnf(s5580,plain,
( ~ spl2_273
| ~ spl2_116
| ~ spl2_133
| spl2_197
| ~ spl2_13
| ~ spl2_17
| spl2_112
| ~ spl2_39 ),
inference(rat,[],[s679,s935,s1859,s5227,s4827,s539,s4196,s67,s2557,s4593,s1885,s1420,s15,s3825]) ).
cnf(s5581,plain,
( ~ spl2_107
| ~ spl2_133
| spl2_97
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s3698,s539,s2505,s765,s5327,s717,s691,s4814,s681,s5580,s4672,s2801,s4898,s429,s152,s5579,s5578,s4671,s312,s2557,s814,s621,s283,s636,s4593,s1885,s5577,s1420,s15,s3825,s5487,s26,s5,s17,s5565,s638,s3550,s3438,s4004,s453]) ).
cnf(s5582,plain,
( ~ spl2_133
| spl2_97
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s2505,s4305,s5277,s2546,s4764,s5170,s34,s4677,s4807,s860,s53,s4416,s825,s152,s938,s1280,s112,s5581,s453,s397,s312,s2557,s4593,s1885,s5577,s1420,s15,s3825,s17,s5565,s5487]) ).
cnf(s5583,plain,
( ~ spl2_273
| spl2_77
| spl2_10
| ~ spl2_17
| ~ spl2_39 ),
inference(rat,[],[s679,s4932,s1859,s756,s4827,s645,s539,s1454,s4196,s4593,s15,s3825]) ).
cnf(s5584,plain,
( spl2_132
| ~ spl2_103
| ~ spl2_107
| spl2_133
| spl2_97
| spl2_186
| spl2_197
| spl2_372
| ~ spl2_22
| spl2_10
| spl2_26
| spl2_31
| ~ spl2_17
| spl2_109
| ~ spl2_114
| ~ spl2_39 ),
inference(rat,[],[s1237,s3211,s1683,s843,s4896,s1769,s4916,s2822,s756,s1723,s4479,s539,s645,s1726,s3117,s3698,s1449,s5243,s3652,s2505,s765,s4864,s717,s691,s4814,s681,s5583,s49,s745,s4747,s4677,s1339,s3550,s886,s1598,s319,s4593,s15,s3825,s4671]) ).
cnf(s5585,plain,
( spl2_97
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s4916,s756,s3117,s645,s3652,s1449,s4864,s717,s691,s4814,s681,s2109,s5583,s745,s2393,s1170,s1171,s862,s5584,s111,s3585,s5578,s4671,s1598,s2441,s2431,s319,s5582,s886,s3550,s453,s1339,s312,s5313,s4750,s67,s2557,s814,s621,s283,s636,s4593,s1885,s5577,s1420,s15,s3825,s5487,s26,s5,s17,s5565,s638]) ).
cnf(s5586,plain,
( spl2_4
| ~ spl2_107
| spl2_121
| ~ spl2_97
| ~ spl2_13
| ~ spl2_15
| spl2_112 ),
inference(rat,[],[s120,s745,s4672,s1279,s385,s4743,s52,s5313,s1420]) ).
cnf(s5587,plain,
( ~ spl2_273
| spl2_132
| ~ spl2_133
| spl2_197
| ~ spl2_13
| ~ spl2_17
| spl2_112
| ~ spl2_39 ),
inference(rat,[],[s679,s935,s1859,s4416,s4827,s4677,s539,s5580,s4196,s1885,s1420,s15,s3825]) ).
cnf(s5588,plain,
( ~ spl2_347
| spl2_490
| spl2_322
| ~ spl2_202
| ~ spl2_27
| spl2_406
| ~ spl2_350
| ~ spl2_116
| ~ spl2_187
| spl2_186
| spl2_112
| spl2_118 ),
inference(rat,[],[s953,s898,s4848,s3353,s1041,s4788,s1024,s4570,s1240,s4620,s981,s843,s4338,s107,s5313]) ).
cnf(s5589,plain,
( spl2_25
| ~ spl2_362
| ~ spl2_350
| ~ spl2_116
| spl2_128
| spl2_185
| ~ spl2_174
| ~ spl2_187
| ~ spl2_4
| ~ spl2_107
| spl2_186
| spl2_10
| spl2_26
| spl2_31
| ~ spl2_15
| ~ spl2_17
| spl2_112
| spl2_118 ),
inference(rat,[],[s1139,s953,s1235,s548,s920,s4811,s449,s2397,s5345,s4597,s977,s2396,s4890,s5588,s2774,s2663,s2898,s4807,s152,s5359,s1958,s4479,s679,s4028,s4226,s585,s4321,s1170,s3882,s745,s312,s107,s5313,s67,s717,s4814,s1637]) ).
cnf(s5590,plain,
( ~ spl2_103
| spl2_128
| spl2_185
| ~ spl2_189
| ~ spl2_219
| ~ spl2_174
| ~ spl2_187
| spl2_132
| ~ spl2_4
| ~ spl2_107
| spl2_186
| spl2_372
| ~ spl2_13
| spl2_31
| ~ spl2_15
| ~ spl2_17
| spl2_112
| spl2_118
| ~ spl2_339 ),
inference(rat,[],[s1683,s4815,s1237,s2109,s2551,s2521,s2663,s821,s1240,s4878,s1903,s4570,s1168,s2634,s3696,s4597,s4342,s3315,s1769,s977,s2822,s3168,s49,s5589,s1637,s1723,s1726,s831,s5243,s4677,s5313,s4593,s1885,s1420,s4750,s67,s2557,s4671,s4864,s717,s4814]) ).
cnf(s5592,plain,
( ~ spl2_378
| ~ spl2_328
| ~ spl2_187
| ~ spl2_107
| spl2_109 ),
inference(rat,[],[s3211,s1237,s2499,s1684,s1677]) ).
cnf(s5593,plain,
( spl2_132
| ~ spl2_4
| ~ spl2_107
| spl2_121
| ~ spl2_133
| spl2_186
| spl2_197
| spl2_372
| ~ spl2_13
| spl2_31
| ~ spl2_17
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s920,s1235,s449,s5367,s2397,s2499,s5345,s3784,s2634,s4597,s1637,s977,s1723,s2396,s1726,s831,s4639,s5592,s4479,s4226,s4321,s4143,s3882,s745,s2377,s120,s4416,s111,s5590,s5280,s3663,s4467,s539,s2505,s4864,s5327,s717,s691,s4814,s681,s5587,s1339,s312,s107,s5313,s4593,s1885,s1420,s4750,s67,s2557,s15,s3825,s4671]) ).
cnf(s5594,plain,
( ~ spl2_107
| spl2_121
| ~ spl2_133
| ~ spl2_97
| spl2_186
| spl2_197
| spl2_372
| ~ spl2_13
| spl2_31
| ~ spl2_17
| spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s2801,s429,s862,s860,s5593,s5586,s15,s3825,s2557]) ).
cnf(s5595,plain,
( ~ spl2_133
| spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s679,s3449,s4226,s2830,s4321,s5277,s681,s4764,s5587,s34,s5115,s860,s1279,s4416,s152,s2851,s938,s1280,s112,s5594,s1346,s3135,s312,s67,s2557,s814,s621,s283,s636,s4593,s1885,s5577,s1420,s15,s3825,s5487,s26,s5,s17,s5565,s638,s5585]) ).
cnf(s5596,plain,
( spl2_353
| ~ spl2_48
| ~ spl2_358
| spl2_372
| ~ spl2_24
| ~ spl2_339 ),
inference(rat,[],[s1723,s2822,s1726]) ).
cnf(s5597,plain,
( spl2_31
| spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s1237,s2303,s1684,s1677,s4639,s5596,s4915,s717,s4814,s681,s49,s1769,s5583,s745,s2393,s1168,s1170,s1171,s862,s2431,s4016,s319,s5595,s5585,s814,s636,s4593,s1885,s5577,s1339,s5313,s26,s5,s638,s1420,s15,s3825,s17,s5565,s5487]) ).
cnf(s5598,plain,
( spl2_112
| spl2_118
| spl2_1 ),
inference(rat,[],[s5359,s4479,s861,s3117,s1238,s4486,s5546,s4787,s1261,s4026,s513,s1896,s4750,s1169,s681,s1616,s1733,s862,s1598,s2431,s5583,s4593,s23,s67,s4016,s319,s1112,s1111,s1346,s4004,s111,s1285,s5507,s1294,s28,s1418,s5597,s1420,s15,s3825,s17,s5565,s5313,s312,s453,s1339,s5513,s5487]) ).
cnf(s5599,plain,
( ~ spl2_155
| ~ spl2_382
| ~ spl2_347
| ~ spl2_192
| ~ spl2_321
| ~ spl2_174
| spl2_21
| ~ spl2_188
| ~ spl2_288
| ~ spl2_367
| spl2_20
| spl2_109
| ~ spl2_17
| spl2_50
| ~ spl2_112
| spl2_118 ),
inference(rat,[],[s1023,s4788,s4808,s2504,s4480,s2168,s4759,s4709,s1235,s3333,s4924,s4590,s4884,s658]) ).
cnf(s5600,plain,
( spl2_187
| spl2_346
| spl2_406
| ~ spl2_367
| spl2_180
| spl2_186
| spl2_286
| spl2_274
| ~ spl2_220
| ~ spl2_42
| ~ spl2_116
| spl2_27
| ~ spl2_71
| spl2_393
| ~ spl2_252
| spl2_109
| ~ spl2_117
| spl2_50
| ~ spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s2681,s2663,s3254,s3324,s4788,s4924,s1023,s4848,s4812,s513,s449,s4509,s3798,s5599,s843,s52,s5490,s2236,s1238,s2505,s4787,s745,s5030,s2200,s4936,s4793,s4813,s4226,s586,s3336,s679,s539,s4636,s645,s3448,s4196,s676,s681,s1420,s15,s3825,s17,s1727]) ).
cnf(s5601,plain,
( spl2_25
| ~ spl2_321
| ~ spl2_199
| ~ spl2_146
| ~ spl2_116
| spl2_27
| ~ spl2_71
| spl2_322
| spl2_393
| spl2_109
| ~ spl2_17
| spl2_50 ),
inference(rat,[],[s1235,s2513,s920,s645,s4832,s665,s3701,s3336,s947,s4793,s741,s745]) ).
cnf(s5603,plain,
( ~ spl2_21
| ~ spl2_321
| ~ spl2_199
| ~ spl2_146
| ~ spl2_116
| ~ spl2_71
| spl2_322
| spl2_393
| spl2_109
| ~ spl2_17
| spl2_50 ),
inference(rat,[],[s1235,s2513,s920,s4832,s665,s3701,s947,s645,s3337,s3336]) ).
cnf(s5604,plain,
( ~ spl2_10
| ~ spl2_107
| ~ spl2_133
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s3324,s4924,s4788,s4590,s4618,s4884,s5258,s4815,s4916,s2150,s1237,s3569,s2499,s1238,s2307,s5030,s4597,s4793,s4813,s5603,s52,s2236,s5601,s2663,s4878,s3696,s977,s3545,s799,s1719,s831,s5243,s4864,s2505,s717,s691,s4814,s5600,s2164,s2353,s828,s1604,s1605,s1705,s250,s560,s807,s1359,s730,s1592,s3439,s1331,s1717,s3567,s748,s1353,s1112,s1339,s5513,s1315,s3291,s641,s347,s3865,s4979,s5574,s41,s76,s1574,s4416,s2423,s3792,s1420,s15,s3825,s5487,s4417,s17,s1727,s4671,s5598,s937,s453]) ).
cnf(s5605,plain,
( ~ spl2_21
| ~ spl2_102
| ~ spl2_116
| ~ spl2_15
| ~ spl2_71
| spl2_322
| spl2_109
| ~ spl2_17
| ~ spl2_117
| spl2_50 ),
inference(rat,[],[s4924,s1238,s665,s666,s3332,s1592,s947,s1110,s1111,s3337,s67]) ).
cnf(s5606,plain,
( ~ spl2_107
| ~ spl2_133
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s826,s3698,s2505,s53,s765,s717,s34,s385,s691,s4814,s2062,s1736,s681,s1666,s1285,s5583,s745,s4793,s5605,s632,s152,s636,s4807,s4593,s5604,s3792,s1573,s1420,s1574,s15,s4417,s4416,s76,s3825,s5574,s347,s17,s1727,s4671,s5487,s5598,s41,s937,s453]) ).
cnf(s5607,plain,
( ~ spl2_103
| ~ spl2_194
| spl2_196
| spl2_187
| spl2_132
| ~ spl2_12
| ~ spl2_112
| ~ spl2_6 ),
inference(rat,[],[s4916,s4226,s4903,s933,s52,s3343,s4914,s2393,s718,s4677,s1574,s3439,s2200]) ).
cnf(s5608,plain,
( spl2_192
| ~ spl2_181
| spl2_109
| spl2_211
| ~ spl2_130
| spl2_275
| spl2_118 ),
inference(rat,[],[s4279,s1236,s4547,s4648,s1238]) ).
cnf(s5609,plain,
( spl2_205
| spl2_109
| spl2_406
| spl2_211
| ~ spl2_130
| ~ spl2_27
| ~ spl2_77
| spl2_103
| ~ spl2_329
| spl2_182
| spl2_275
| spl2_393
| spl2_286
| ~ spl2_12
| spl2_123
| ~ spl2_98
| ~ spl2_133
| spl2_31
| spl2_118
| spl2_139 ),
inference(rat,[],[s3429,s1237,s2663,s2555,s5381,s831,s5387,s4811,s449,s4373,s4746,s2819,s1235,s1236,s3476,s4279,s4193,s1756,s5608,s4936,s4787,s4481,s679]) ).
cnf(s5610,plain,
( spl2_353
| ~ spl2_185
| spl2_109
| spl2_406
| ~ spl2_202
| ~ spl2_130
| ~ spl2_77
| spl2_103
| ~ spl2_329
| ~ spl2_98
| ~ spl2_133
| ~ spl2_112
| spl2_139 ),
inference(rat,[],[s2771,s4620,s3545,s1240,s4878,s4331,s2966,s2689,s2499,s2663,s3784,s5381,s831]) ).
cnf(s5611,plain,
( spl2_109
| spl2_406
| spl2_211
| ~ spl2_27
| ~ spl2_77
| spl2_103
| ~ spl2_329
| spl2_182
| spl2_275
| spl2_393
| spl2_286
| ~ spl2_12
| spl2_123
| ~ spl2_98
| ~ spl2_133
| spl2_31
| ~ spl2_112
| spl2_118
| spl2_139 ),
inference(rat,[],[s4621,s1237,s2771,s977,s4329,s1723,s1730,s2494,s3995,s4639,s5610,s4062,s5609,s4902,s4813,s933,s1170,s679]) ).
cnf(s5612,plain,
( spl2_187
| ~ spl2_10
| ~ spl2_133
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s1058,s5611,s2353,s1604,s1605,s810,s1669,s679,s4226,s4903,s933,s1170,s745,s3566,s106,s111,s5607,s4596,s3960,s2200,s2505,s2697,s1705,s1145,s3439,s1331,s1353,s1318,s539,s4196,s681,s1339,s937,s112,s4004,s3891,s1592,s730,s748,s4966,s3567,s1315,s2423,s1420,s15,s4366,s453,s4134,s5598,s1103,s4902,s17,s76,s874,s886,s1112,s5513,s5487,s5606]) ).
cnf(s5613,plain,
( spl2_25
| ~ spl2_354
| spl2_406
| spl2_186
| spl2_109
| spl2_275
| ~ spl2_187
| spl2_132
| spl2_286
| ~ spl2_146
| ~ spl2_12
| ~ spl2_42
| spl2_123
| ~ spl2_98
| ~ spl2_133
| spl2_31
| ~ spl2_112
| spl2_118
| spl2_139 ),
inference(rat,[],[s2129,s4836,s4788,s1238,s3353,s1756,s931,s2819,s1236,s2510,s3154,s4847,s3649,s4786,s1757,s4819,s4338,s2193,s4481,s4570,s4329,s4787,s1240,s1237,s4936,s4620,s4621,s5371,s2771,s3545,s4878,s821,s4596,s2663,s805,s5611,s5381,s977,s1574,s4597,s4903,s585,s933,s1170,s745,s1896,s449,s5497,s679,s831,s5340,s1732,s4814,s4410,s4902,s2307,s2966]) ).
cnf(s5614,plain,
( ~ spl2_10
| ~ spl2_133
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s4597,s933,s977,s52,s3168,s2236,s5613,s2307,s2499,s2682,s2353,s828,s1604,s831,s1605,s5340,s283,s814,s1067,s3015,s1705,s1145,s1732,s1353,s4410,s4814,s1896,s5612,s1103,s4902,s2423,s730,s1592,s17,s1420,s748,s76,s15,s4966,s874,s4366,s3891,s3567,s4004,s886,s1112,s453,s1339,s5513,s5487,s5598,s1315,s112,s4134,s5606]) ).
cnf(s5615,plain,
( ~ spl2_273
| ~ spl2_75
| spl2_10
| ~ spl2_389
| ~ spl2_98
| spl2_118
| spl2_1 ),
inference(rat,[],[s745,s4793,s1734,s3336,s34,s645,s322,s1574,s1836,s4883,s1552,s2505,s4787,s4465,s3666,s4827,s1318,s539,s4196,s453,s5598,s4807,s152,s1280,s5487]) ).
cnf(s5616,plain,
( ~ spl2_133
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s1515,s1238,s449,s1706,s4402,s5379,s5138,s5377,s1188,s4794,s111,s1574,s4903,s933,s1170,s745,s1734,s1733,s4764,s1273,s4787,s1635,s3666,s4827,s539,s4370,s679,s899,s1732,s4410,s4814,s1896,s681,s5615,s4902,s17,s3825,s4591,s15,s1573,s4807,s5614,s152,s1280,s4134,s112,s5606,s453,s5487,s5598]) ).
cnf(s5617,plain,
( spl2_187
| spl2_346
| spl2_406
| ~ spl2_367
| ~ spl2_192
| spl2_132
| spl2_29
| spl2_286
| spl2_274
| ~ spl2_220
| ~ spl2_71
| ~ spl2_17
| spl2_109
| spl2_77
| spl2_133
| spl2_50
| ~ spl2_112
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s2681,s2663,s3254,s3324,s4788,s4924,s1023,s4848,s4812,s513,s449,s4509,s3798,s5599,s843,s5490,s2505,s4787,s4226,s4632,s304,s679,s539,s645,s4677,s4932,s4196,s676,s5570,s681,s4813,s308,s5513,s1420,s15,s3825,s563,s282,s2062,s2330,s4912,s319,s1666,s745]) ).
cnf(s5618,plain,
( spl2_353
| ~ spl2_195
| ~ spl2_187
| spl2_406
| ~ spl2_367
| spl2_180
| ~ spl2_192
| spl2_132
| spl2_275
| spl2_29
| spl2_286
| spl2_274
| ~ spl2_71
| spl2_109
| spl2_77
| spl2_21
| spl2_133
| ~ spl2_112
| spl2_118 ),
inference(rat,[],[s4924,s3324,s4590,s4788,s4884,s4618,s5258,s4815,s4916,s2150,s1237,s3569,s2499,s2663,s4597,s4102,s2681,s977,s1723,s3170,s1719,s831,s4813,s745]) ).
cnf(s5619,plain,
( ~ spl2_107
| ~ spl2_10
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s3569,s1237,s2499,s1684,s1677,s833,s4639,s5618,s4864,s717,s691,s4814,s5617,s2164,s2353,s828,s1604,s1605,s810,s608,s282,s563,s2330,s4912,s1238,s862,s5030,s1705,s52,s730,s1592,s3439,s1331,s1736,s748,s1353,s76,s1666,s1285,s5574,s4979,s17,s745,s349,s1727,s1619,s1377,s4671,s1339,s41,s937,s453,s4813,s308,s319,s5616,s5513,s5487,s5598]) ).
cnf(s5620,plain,
( ~ spl2_354
| ~ spl2_329
| ~ spl2_185
| spl2_132
| ~ spl2_95
| spl2_109
| ~ spl2_30
| ~ spl2_12
| ~ spl2_202
| ~ spl2_98
| ~ spl2_120
| spl2_139 ),
inference(rat,[],[s4620,s2771,s1240,s5075,s2485,s4331,s2966,s4306]) ).
cnf(s5621,plain,
( ~ spl2_146
| ~ spl2_374
| ~ spl2_181
| spl2_345
| spl2_373
| spl2_109
| ~ spl2_27
| spl2_211
| spl2_196
| ~ spl2_98
| spl2_123
| ~ spl2_130
| spl2_118 ),
inference(rat,[],[s4786,s2757,s1640,s4193,s1756,s5608,s2164,s1705]) ).
cnf(s5622,plain,
( ~ spl2_273
| ~ spl2_10
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s3537,s955,s1236,s1150,s1157,s748,s1592,s5621,s4700,s4662,s2663,s3429,s4936,s4787,s4481,s4363,s2494,s4329,s1237,s4621,s2771,s977,s5075,s1730,s1940,s4639,s831,s3571,s3784,s4652,s2499,s5620,s2353,s1604,s4596,s1605,s5495,s2423,s111,s810,s1067,s4902,s1421,s1574,s1102,s3030,s3865,s1170,s743,s1669,s3448,s4932,s3218,s679,s4226,s3960,s2200,s2505,s2697,s1145,s3439,s1331,s1353,s1318,s539,s4196,s1339,s1687,s4813,s308,s319,s5616,s5598,s886,s4004,s453,s112,s3891,s5619,s1112,s5513,s5487]) ).
cnf(s5623,plain,
( ~ spl2_192
| spl2_275
| ~ spl2_198
| ~ spl2_27
| spl2_211
| spl2_109
| ~ spl2_98
| spl2_123
| spl2_118 ),
inference(rat,[],[s1236,s4279,s931,s4193,s1756]) ).
cnf(s5624,plain,
( ~ spl2_146
| ~ spl2_198
| ~ spl2_227
| ~ spl2_27
| ~ spl2_366
| spl2_373
| spl2_211
| spl2_109
| spl2_196
| spl2_393
| ~ spl2_98
| spl2_123
| ~ spl2_130
| spl2_118 ),
inference(rat,[],[s4709,s2155,s2819,s4788,s1235,s1236,s3254,s3476,s4279,s4547,s1238,s5623,s2164,s1705,s679]) ).
cnf(s5625,plain,
( ~ spl2_12
| spl2_109
| ~ spl2_10
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s821,s4369,s4363,s1148,s3537,s4786,s955,s1236,s1149,s1150,s1157,s748,s1592,s5624,s4819,s4481,s4787,s4334,s4878,s2663,s3552,s4342,s4570,s4329,s1240,s1237,s4793,s4620,s4621,s3170,s2771,s977,s5075,s2485,s2966,s4306,s2499,s2682,s585,s2353,s828,s52,s1604,s4375,s1605,s4794,s814,s831,s2793,s3015,s5340,s4912,s679,s5495,s1103,s2423,s1732,s4902,s1421,s1339,s4813,s308,s319,s5616,s5598,s4004,s453,s112,s3891,s5619,s1112,s5513,s5487,s4814,s1331,s1145,s1353,s1896,s681,s5622]) ).
cnf(s5626,plain,
( spl2_155
| ~ spl2_202
| spl2_275
| ~ spl2_146
| ~ spl2_252
| spl2_109
| ~ spl2_199
| spl2_118 ),
inference(rat,[],[s920,s1235,s449,s3476,s1755]) ).
cnf(s5627,plain,
( ~ spl2_77
| spl2_275
| ~ spl2_146
| ~ spl2_252
| spl2_109
| ~ spl2_199
| ~ spl2_187
| ~ spl2_98
| spl2_123
| ~ spl2_130
| spl2_21
| spl2_118 ),
inference(rat,[],[s1238,s4547,s4193,s5626,s679,s4226,s4793,s4321]) ).
cnf(s5628,plain,
( spl2_353
| ~ spl2_367
| spl2_132
| ~ spl2_71
| ~ spl2_481
| spl2_133 ),
inference(rat,[],[s4102,s2499,s1723,s2682,s1719,s831]) ).
cnf(s5629,plain,
( ~ spl2_345
| ~ spl2_178
| ~ spl2_236
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s3334,s2499,s2663,s2307,s2689,s4597,s4813]) ).
cnf(s5630,plain,
( spl2_211
| ~ spl2_353
| spl2_29
| spl2_406
| spl2_275
| spl2_20
| ~ spl2_146
| ~ spl2_252
| spl2_109
| spl2_274
| ~ spl2_199
| ~ spl2_187
| ~ spl2_98
| spl2_123
| spl2_21
| ~ spl2_112
| spl2_118 ),
inference(rat,[],[s4786,s1640,s2773,s4888,s5421,s4921,s5629,s4788,s4608,s3546,s1236,s931,s4924,s1756,s1238,s4590,s4547,s4884,s658,s4815,s5626,s4916,s679,s745,s5627,s4813]) ).
cnf(s5631,plain,
( ~ spl2_155
| ~ spl2_321
| ~ spl2_174
| spl2_20
| spl2_109
| ~ spl2_187
| ~ spl2_98
| spl2_123
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s1235,s4709,s3333,s1710,s4924,s1756,s1238,s4590,s4547,s4884,s658,s4813]) ).
cnf(s5632,plain,
( spl2_109
| ~ spl2_10
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s2499,s3569,s2307,s2663,s4597,s2681,s4318,s3254,s4786,s4788,s1639,s4718,s4811,s449,s3798,s5631,s4864,s2505,s4787,s2200,s2081,s4226,s5630,s1237,s1684,s4639,s5628,s52,s1736,s1285,s745,s5627,s2164,s2353,s828,s1604,s1605,s820,s580,s2330,s4912,s2423,s1705,s1420,s730,s1592,s15,s748,s76,s3825,s5574,s3865,s17,s5625,s1339,s41,s4813,s308,s319,s5616,s5598,s4004,s112,s3891,s5619,s1112,s5513,s5487,s4814,s3439,s1353,s1896,s681,s5622,s453]) ).
cnf(s5633,plain,
( ~ spl2_12
| ~ spl2_109
| spl2_223
| ~ spl2_220
| ~ spl2_199
| ~ spl2_481
| spl2_133
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s3015,s1067,s5495,s1103,s2423,s1732,s4902,s1421]) ).
cnf(s5634,plain,
( ~ spl2_10
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s4912,s2423,s2330,s1420,s379,s15,s76,s3825,s17,s5633,s5632,s1145,s1331,s1353,s4814,s1896,s681,s5622,s3891,s5619,s1112,s5513,s5487,s5598,s319,s5616]) ).
cnf(s5635,plain,
( ~ spl2_273
| ~ spl2_321
| ~ spl2_208
| ~ spl2_98
| spl2_103
| spl2_118
| ~ spl2_39 ),
inference(rat,[],[s4787,s3666,s1552,s539,s4883,s4196]) ).
cnf(s5636,plain,
( ~ spl2_12
| spl2_109
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s1515,s1238,s449,s1706,s4402,s5379,s5138,s5377,s743,s1734,s4764,s1273,s4787,s1635,s3666,s4827,s539,s4370,s679,s1732,s4814,s1896,s681,s5635,s2505,s5511,s899,s5510,s4807,s4591,s15,s152,s4593,s1280,s2431,s112,s4014,s4671,s2423,s4902,s1727,s1421,s453,s1339,s1687,s5598,s308,s319,s5616,s5513,s5487,s5634]) ).
cnf(s5637,plain,
( spl2_12
| spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s826,s3698,s2505,s53,s765,s717,s34,s691,s4814,s2062,s1736,s681,s1666,s1285,s5583,s745,s1619,s4671,s632,s4016,s1598,s2431,s636,s2423,s4593,s1420,s15,s76,s3825,s17,s1339,s937,s453,s4813,s308,s319,s5616,s5513,s5487,s5598,s5634]) ).
cnf(s5638,plain,
( spl2_13
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s1225,s4593,s1067,s2431,s1103,s4671,s5636,s4902,s1727,s5637,s5634,s319,s5616,s1339,s5487,s5598]) ).
cnf(s5639,plain,
( ~ spl2_20
| ~ spl2_39 ),
inference(rat,[],[s3825,s15,s17,s1420,s1421]) ).
cnf(s5640,plain,
( ~ spl2_273
| spl2_406
| ~ spl2_10
| spl2_347
| spl2_109
| spl2_21
| ~ spl2_31
| spl2_1 ),
inference(rat,[],[s4226,s5490,s4916,s3439,s2393,s1353,s2012,s1318,s539,s4196,s453,s28,s5639,s5487]) ).
cnf(s5641,plain,
( ~ spl2_10
| spl2_13
| spl2_118
| spl2_1 ),
inference(rat,[],[s3569,s4864,s1237,s4787,s2200,s2150,s2081,s4226,s4916,s3439,s1353,s2082,s1896,s681,s5640,s2499,s2663,s2307,s2689,s4597,s4921,s2353,s1604,s4813,s308,s1202,s1769,s1253,s1605,s810,s2330,s4912,s319,s2423,s5598,s1315,s3566,s111,s1294,s5513,s1666,s28,s5639,s937,s453,s1339,s5487,s5638]) ).
cnf(s5642,plain,
( ~ spl2_345
| ~ spl2_102
| ~ spl2_321
| ~ spl2_179
| ~ spl2_326
| ~ spl2_358
| spl2_109
| spl2_21
| ~ spl2_95
| ~ spl2_112 ),
inference(rat,[],[s4571,s1240,s4695,s2515,s2241,s4919,s2663,s2307,s2689,s4597,s4813]) ).
cnf(s5644,plain,
( spl2_155
| spl2_286
| ~ spl2_25
| spl2_77
| ~ spl2_31
| spl2_118 ),
inference(rat,[],[s1459,s449,s4509,s3798]) ).
cnf(s5645,plain,
( spl2_4
| ~ spl2_107
| spl2_10
| spl2_109
| spl2_21
| ~ spl2_25
| spl2_77
| ~ spl2_31
| ~ spl2_112
| spl2_118
| ~ spl2_6 ),
inference(rat,[],[s4924,s1238,s4590,s4547,s4884,s5644,s3332,s152,s730,s4807,s1110,s1111,s4187,s23,s1273,s4813]) ).
cnf(s5646,plain,
( ~ spl2_4
| spl2_10
| ~ spl2_95
| ~ spl2_25
| spl2_13
| spl2_132
| ~ spl2_6 ),
inference(rat,[],[s2441,s4016,s4593,s4591,s1734,s3585,s319,s1315,s3566,s937]) ).
cnf(s5647,plain,
( spl2_13
| spl2_118
| spl2_1 ),
inference(rat,[],[s1756,s1238,s2014,s4547,s687,s5644,s730,s4004,s112,s1110,s1111,s5645,s23,s5646,s5641,s1202,s2330,s4813,s4912,s308,s319,s1315,s3566,s111,s1666,s1294,s28,s1418,s5638,s937,s453,s5513,s2423,s5639,s5487,s5598]) ).
cnf(s5648,plain,
( spl2_21
| ~ spl2_133
| spl2_109
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s5245,s3792,s111,s2801,s3585,s4764,s1273,s1635,s4827,s539,s3698,s765,s691,s2505,s283,s621,s717,s636,s4814,s4593,s681,s15,s2797,s5583,s3825,s4385,s17,s745,s1727,s1619,s4671,s112,s5259,s1280,s4754,s429,s152,s2413,s1877,s4750,s4813,s453,s5598,s1885,s5647,s5639,s5487]) ).
cnf(s5649,plain,
( spl2_187
| ~ spl2_232
| ~ spl2_179
| ~ spl2_389
| ~ spl2_4
| ~ spl2_21
| spl2_1 ),
inference(rat,[],[s645,s1836,s3336,s2505,s1318,s3858,s539,s3343,s4196,s4914,s681,s453,s5487]) ).
cnf(s5650,plain,
( ~ spl2_133
| spl2_109
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s4915,s3858,s2196,s1165,s4410,s5649,s4805,s4130,s745,s2393,s4134,s2234,s52,s1170,s1171,s4671,s933,s4902,s1727,s17,s3825,s15,s67,s5648,s2423,s5639,s5487,s5598,s2557,s5647]) ).
cnf(s5651,plain,
( spl2_109
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s1235,s920,s3551,s449,s3154,s955,s731,s4104,s2443,s947,s5260,s539,s4891,s3698,s2505,s765,s717,s691,s4814,s4593,s681,s15,s628,s5583,s3825,s1285,s17,s745,s1727,s1619,s4671,s112,s5259,s1280,s152,s1877,s2330,s4813,s4805,s4912,s308,s4881,s319,s5650,s5513,s2423,s5598,s1885,s5647,s5639,s5487]) ).
cnf(s5652,plain,
( spl2_21
| ~ spl2_158
| ~ spl2_109
| spl2_118
| spl2_1 ),
inference(rat,[],[s350,s1619,s111,s112,s1718,s1280,s1717,s152,s2413,s1877,s4750,s4813,s453,s5487,s5598,s5647]) ).
cnf(s5653,plain,
( ~ spl2_133
| spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s5433,s4885,s1666,s1743,s745,s4811,s112,s1170,s1047,s4671,s933,s1727,s17,s3825,s1223,s15,s1182,s67,s308,s934,s5652,s1383,s1065,s3030,s1066,s5513,s5487,s5598,s2557,s5647,s5651]) ).
cnf(s5654,plain,
( spl2_31
| spl2_118
| spl2_1 ),
inference(rat,[],[s1065,s1067,s1383,s2330,s5652,s4912,s308,s319,s5653,s5651,s5513,s2423,s5639,s5487,s5598]) ).
cnf(s5655,plain,
( spl2_21
| spl2_127
| ~ spl2_13
| ~ spl2_112 ),
inference(rat,[],[s4754,s2413,s1877,s4750,s4813]) ).
cnf(s5656,plain,
( spl2_118
| spl2_1 ),
inference(rat,[],[s1458,s4507,s4833,s4879,s5433,s3566,s1315,s513,s1169,s933,s4805,s17,s4130,s3825,s15,s1687,s67,s934,s5655,s3585,s2236,s111,s23,s1294,s28,s5654,s2557,s5647,s2423,s5598,s453,s5513,s5639,s5487]) ).
cnf(s5657,plain,
( ~ spl2_107
| spl2_31
| ~ spl2_152 ),
inference(rat,[],[s641,s4671]) ).
cnf(s5658,plain,
( spl2_97
| ~ spl2_133
| spl2_13
| spl2_21
| spl2_112
| ~ spl2_98
| spl2_1 ),
inference(rat,[],[s1123,s3865,s4770,s2851,s3431,s1241,s4004,s886,s453,s5656,s312,s5313]) ).
cnf(s5659,plain,
( ~ spl2_12
| ~ spl2_97
| spl2_13
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s5462,s1667,s4778,s4773,s1103,s4902,s112,s5657,s4776,s1111,s5461,s1112,s5513,s4781,s5656,s453,s732,s5487]) ).
cnf(s5660,plain,
( ~ spl2_133
| spl2_13
| spl2_21
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s642,s4677,s4416,s17,s5659,s860,s1111,s5658,s152,s1280,s938,s112,s5657,s4776,s4781,s453,s732,s5487,s5656,s312]) ).
cnf(s5661,plain,
( spl2_97
| ~ spl2_231
| spl2_13
| spl2_21
| ~ spl2_114
| spl2_31
| spl2_1 ),
inference(rat,[],[s124,s2793,s3343,s4767,s4914,s2393,s4602,s4814,s772,s586,s1732,s679,s1669,s4773,s1102,s4793,s3865,s1145,s2851,s3431,s3058,s4004,s886,s5639,s112,s5657,s4776,s4781,s453,s732,s5487,s5656]) ).
cnf(s5662,plain,
( spl2_13
| spl2_21
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s3825,s17,s4783,s5659,s1112,s5661,s1236,s1598,s3050,s319,s5660,s5513,s1280,s112,s5657,s4776,s4781,s453,s732,s5656,s5487,s312,s5313]) ).
cnf(s5663,plain,
( spl2_97
| ~ spl2_389
| ~ spl2_13
| spl2_112
| ~ spl2_98
| spl2_1 ),
inference(rat,[],[s4661,s1616,s4772,s34,s1279,s15,s2851,s4366,s4737,s4004,s453,s152,s1280,s3051,s312,s5656,s2557,s1885,s5639,s5487]) ).
cnf(s5664,plain,
( spl2_4
| ~ spl2_13
| spl2_8
| spl2_1 ),
inference(rat,[],[s140,s4743,s5639,s5487,s5656]) ).
cnf(s5665,plain,
( spl2_187
| ~ spl2_77
| ~ spl2_12
| ~ spl2_133
| ~ spl2_4
| ~ spl2_13
| ~ spl2_111
| spl2_31
| spl2_1 ),
inference(rat,[],[s5104,s3209,s4465,s5517,s4827,s539,s4196,s681,s152,s1280,s112,s1885,s5639,s4134,s5657,s4776,s4781,s453,s732,s5487,s5656]) ).
cnf(s5666,plain,
( ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s1592,s2529,s4585,s4092,s2819,s2322,s947,s1236,s4830,s4382,s2271,s589,s539,s4827,s4465,s5103,s1511,s679,s3209,s1732,s4410,s4814,s1896,s5665,s745,s1666,s4773,s1103,s4902,s107,s1235,s4780,s5313,s938,s312,s4750,s955,s5461,s1885,s5639,s5664,s3048,s5114,s4805,s5663,s4134,s860,s2557,s5662,s152,s1280,s112,s5657,s4776,s4781,s453,s732,s5656,s5487]) ).
cnf(s5667,plain,
( ~ spl2_133
| spl2_21
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s5481,s5,s17,s5666,s5663,s4134,s112,s5657,s4776,s4781,s453,s732,s5487,s5664,s5662,s3048,s5114,s5656]) ).
cnf(s5668,plain,
( spl2_21
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s4661,s4747,s1616,s2851,s4737,s4004,s4805,s4881,s5667,s5664,s860,s2557,s5662,s152,s1280,s112,s5657,s4776,s4781,s453,s732,s5487,s3051,s312,s3048,s5114,s5656]) ).
cnf(s5669,plain,
( spl2_97
| spl2_13
| ~ spl2_21
| ~ spl2_114
| ~ spl2_98
| ~ spl2_6 ),
inference(rat,[],[s933,s1170,s3865,s2851,s3431,s4004,s886]) ).
cnf(s5670,plain,
( spl2_13
| spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s3825,s15,s17,s67,s5659,s1111,s5669,s112,s5657,s4776,s4781,s453,s732,s5487,s5656,s312,s5668]) ).
cnf(s5671,plain,
( spl2_112
| spl2_31
| spl2_1 ),
inference(rat,[],[s3825,s17,s15,s5355,s67,s5664,s2557,s5670,s5668,s3048,s5114,s312,s5657,s4776,s4781,s453,s732,s5487,s5656]) ).
cnf(s5672,plain,
( spl2_45
| spl2_21
| spl2_31
| spl2_1 ),
inference(rat,[],[s1188,s1733,s4794,s124,s111,s1574,s4793,s745,s1244,s1666,s4778,s4773,s2272,s643,s2423,s5639,s937,s1877,s4813,s5671,s152,s1280,s112,s5657,s4776,s4781,s732,s5656,s5487,s453]) ).
cnf(s5673,plain,
( ~ spl2_12
| ~ spl2_45
| spl2_31 ),
inference(rat,[],[s1103,s4902]) ).
cnf(s5674,plain,
( ~ spl2_103
| spl2_132
| ~ spl2_152 ),
inference(rat,[],[s642,s4677]) ).
cnf(s5675,plain,
( spl2_31
| spl2_1 ),
inference(rat,[],[s4497,s145,s745,s1170,s933,s5672,s5673,s17,s3825,s15,s1573,s4807,s1112,s4375,s4794,s124,s111,s5674,s2423,s5671,s152,s1280,s112,s5657,s5513,s5639,s4776,s4781,s453,s732,s5487,s5656]) ).
cnf(s5676,plain,
( spl2_13
| spl2_112
| spl2_1 ),
inference(rat,[],[s152,s860,s1990,s5646,s28,s1616,s124,s111,s1294,s5656,s312,s1111,s1112,s4004,s5507,s5639,s5675,s453,s5513,s5487]) ).
cnf(s5677,plain,
( spl2_132
| ~ spl2_133
| spl2_112
| spl2_1 ),
inference(rat,[],[s1236,s2819,s4382,s596,s4778,s3858,s947,s603,s2299,s4879,s2617,s4507,s4805,s5482,s4776,s1556,s124,s3052,s1235,s4780,s5313,s955,s5461,s1112,s4004,s5507,s4781,s5656,s453,s732,s5676,s2393,s2012,s5428,s3566,s1315,s28,s5639,s111,s1294,s5513,s5487,s5675]) ).
cnf(s5678,plain,
( ~ spl2_132
| spl2_112
| spl2_1 ),
inference(rat,[],[s688,s861,s4507,s1238,s4774,s1697,s123,s152,s860,s111,s1294,s5313,s1111,s4506,s5461,s1112,s4004,s5507,s5513,s4781,s453,s732,s3052,s28,s5675,s5639,s5487,s5656]) ).
cnf(s5679,plain,
( spl2_112
| spl2_1 ),
inference(rat,[],[s4881,s5677,s4805,s5678,s5676,s4004,s5507,s453,s5513,s5639,s5487,s5675]) ).
cnf(s5680,plain,
spl2_1,
inference(rat,[],[s3858,s4805,s4915,s4482,s4130,s2196,s15,s645,s2393,s67,s3336,s2012,s5655,s2557,s5428,s937,s3566,s1315,s2273,s643,s2423,s5679,s2236,s3585,s124,s111,s1294,s28,s5675,s4776,s4781,s5656,s5639,s5513,s732,s5487,s453]) ).
cnf(s5681,plain,
~ spl2_26,
inference(rat,[],[s24,s5680]) ).
cnf(s5695,plain,
( ~ spl2_155
| spl2_422
| spl2_39
| ~ spl2_27
| ~ spl2_4
| spl2_20 ),
inference(rat,[],[s4644,s4585,s897,s658]) ).
cnf(s5696,plain,
( ~ spl2_373
| ~ spl2_123
| ~ spl2_232
| ~ spl2_32 ),
inference(rat,[],[s4087,s831,s2499,s4250,s2903]) ).
cnf(s5698,plain,
( ~ spl2_188
| ~ spl2_208
| ~ spl2_95
| spl2_198
| spl2_187
| ~ spl2_98
| spl2_118 ),
inference(rat,[],[s4350,s4914,s4787,s4896,s3666,s5681]) ).
cnf(s5700,plain,
( ~ spl2_306
| spl2_404
| ~ spl2_232
| ~ spl2_12
| ~ spl2_133
| spl2_118
| spl2_13
| spl2_31
| ~ spl2_111 ),
inference(rat,[],[s4811,s3213,s4885,s5321,s15,s37,s4902,s5680]) ).
cnf(s5701,plain,
( ~ spl2_219
| ~ spl2_39
| ~ spl2_75
| ~ spl2_12
| spl2_31 ),
inference(rat,[],[s679,s4630,s1732,s701,s4814,s681,s4196,s4899,s5680]) ).
cnf(s5702,plain,
( ~ spl2_192
| spl2_185
| spl2_182
| ~ spl2_232
| ~ spl2_98
| ~ spl2_12
| ~ spl2_133
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s449,s5089,s4402,s947,s5700,s1743,s4051,s107,s5313,s4902]) ).
cnf(s5706,plain,
( ~ spl2_322
| ~ spl2_102
| spl2_15
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s4274,s2237,s687,s688]) ).
cnf(s5710,plain,
( ~ spl2_107
| ~ spl2_81
| ~ spl2_133
| spl2_118
| spl2_31 ),
inference(rat,[],[s321,s430,s4671,s4899,s5680]) ).
cnf(s5711,plain,
( ~ spl2_128
| ~ spl2_106
| spl2_132
| ~ spl2_98
| ~ spl2_18
| ~ spl2_12
| spl2_118
| spl2_13
| spl2_109 ),
inference(rat,[],[s645,s899,s3868,s5511,s2505,s721,s539,s5550,s4807,s4900,s51,s52,s1273,s1616,s2793,s4912,s318,s492,s5680]) ).
cnf(s5712,plain,
( spl2_185
| spl2_268
| ~ spl2_192
| ~ spl2_232
| spl2_139
| ~ spl2_12
| ~ spl2_133
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s4101,s2547,s1235,s3960,s4759,s5702,s645,s5313,s4402,s5700,s1743,s112,s5710,s84,s37,s107,s4902,s5680]) ).
cnf(s5713,plain,
( ~ spl2_192
| ~ spl2_27
| ~ spl2_95
| ~ spl2_232
| spl2_139
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s1236,s4386,s766,s772,s3949,s5104,s899,s3209,s5712,s4884,s658,s449,s5107,s4402,s947,s5700,s1743,s4051,s107,s5313,s1421,s15,s4027,s312,s112,s4134,s5710,s84,s37,s4902,s5681,s5680]) ).
cnf(s5714,plain,
( spl2_349
| ~ spl2_362
| ~ spl2_42
| ~ spl2_251
| ~ spl2_306
| ~ spl2_217
| spl2_180
| spl2_118 ),
inference(rat,[],[s4786,s788,s2524,s805,s4142,s821]) ).
cnf(s5717,plain,
( spl2_349
| spl2_286
| ~ spl2_42
| ~ spl2_239
| ~ spl2_251
| ~ spl2_306
| ~ spl2_217
| spl2_180
| ~ spl2_12
| spl2_118 ),
inference(rat,[],[s4786,s1757,s788,s4023,s805,s5714,s821,s5038,s1421,s5681]) ).
cnf(s5718,plain,
( ~ spl2_321
| ~ spl2_273
| spl2_343
| ~ spl2_42
| ~ spl2_267
| ~ spl2_239
| ~ spl2_251
| ~ spl2_306
| ~ spl2_217
| spl2_103
| ~ spl2_9
| spl2_10
| ~ spl2_106
| ~ spl2_98
| spl2_180
| spl2_197
| ~ spl2_12
| spl2_118
| spl2_112 ),
inference(rat,[],[s788,s4786,s1542,s1757,s4320,s3778,s4846,s5717,s1714,s1240,s2672,s5362,s3697,s679,s2171,s766,s4602,s1235,s1236,s4755,s1933,s1552,s4883,s107,s5313]) ).
cnf(s5719,plain,
( spl2_185
| ~ spl2_42
| ~ spl2_267
| ~ spl2_239
| ~ spl2_251
| ~ spl2_155
| ~ spl2_306
| ~ spl2_217
| spl2_103
| ~ spl2_9
| ~ spl2_232
| spl2_10
| ~ spl2_106
| ~ spl2_98
| spl2_180
| spl2_197
| ~ spl2_30
| ~ spl2_12
| spl2_118
| spl2_112 ),
inference(rat,[],[s1236,s4382,s4602,s3858,s3960,s2505,s5718,s681,s4752,s4410,s5313,s943,s941,s15,s37,s5680]) ).
cnf(s5720,plain,
( ~ spl2_306
| spl2_422
| ~ spl2_183
| spl2_188
| spl2_103
| ~ spl2_9
| ~ spl2_232
| spl2_10
| ~ spl2_106
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s1236,s766,s2657,s3949,s5104,s4468,s899,s3209,s5719,s4833,s4585,s4836,s449,s4884,s658,s441,s5321,s2223,s107,s5313,s1421,s267,s4591,s5673,s15,s576,s3905,s3908,s4131,s4899,s112,s4134,s5710,s84,s37,s4902,s955,s1467,s4807,s5680]) ).
cnf(s5721,plain,
( spl2_366
| spl2_286
| ~ spl2_251
| ~ spl2_239
| ~ spl2_27
| spl2_180
| spl2_118 ),
inference(rat,[],[s1757,s4786,s981,s788,s977]) ).
cnf(s5722,plain,
( ~ spl2_155
| ~ spl2_273
| spl2_185
| ~ spl2_239
| spl2_306
| ~ spl2_27
| ~ spl2_232
| spl2_10
| ~ spl2_106
| spl2_180
| ~ spl2_75
| ~ spl2_12
| spl2_21
| spl2_118
| spl2_112 ),
inference(rat,[],[s2312,s821,s828,s4846,s4320,s2903,s1542,s5721,s1714,s1240,s2672,s5362,s1511,s2505,s679,s3960,s586,s5089,s2171,s1235,s4759,s4884,s658,s107,s5313,s1421,s943,s947,s645]) ).
cnf(s5723,plain,
( ~ spl2_349
| spl2_42
| ~ spl2_77
| spl2_103
| ~ spl2_9
| ~ spl2_208
| ~ spl2_232
| spl2_139
| ~ spl2_98
| ~ spl2_30
| ~ spl2_133
| ~ spl2_32 ),
inference(rat,[],[s1723,s3995,s4572,s5381,s5696,s2663,s5523,s4877,s15,s37,s5680]) ).
cnf(s5724,plain,
( ~ spl2_366
| ~ spl2_177
| ~ spl2_368
| ~ spl2_156
| ~ spl2_217
| ~ spl2_386
| ~ spl2_232
| ~ spl2_75
| spl2_118
| spl2_13
| ~ spl2_32 ),
inference(rat,[],[s4273,s2784,s831,s2499,s1640,s1149,s4250,s2903,s4786,s828,s1148,s2312,s4369]) ).
cnf(s5725,plain,
( spl2_185
| spl2_306
| ~ spl2_217
| spl2_422
| ~ spl2_219
| ~ spl2_27
| ~ spl2_386
| ~ spl2_95
| spl2_103
| ~ spl2_9
| ~ spl2_232
| spl2_10
| ~ spl2_106
| ~ spl2_98
| ~ spl2_30
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s1240,s1762,s1672,s981,s977,s5724,s4788,s1016,s821,s5723,s4226,s679,s4380,s1933,s513,s1236,s1261,s5070,s953,s4585,s1458,s1592,s2320,s954,s4383,s4274,s5722,s681,s4410,s107,s5313,s1421,s4591,s576,s3905,s3908,s4131,s37,s943,s4807,s745,s3566,s938,s312,s1315,s947,s449,s4402,s5680]) ).
cnf(s5726,plain,
( spl2_4
| ~ spl2_106
| spl2_132
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s1235,s3478,s4723,s4585,s897,s658,s954,s1165,s3858,s4596,s5104,s899,s3209,s5725,s449,s4402,s5720,s955,s1467,s1991,s1238,s5713,s539,s4903,s5550,s4794,s3566,s4661,s4677,s4882,s385,s52,s1273,s107,s4899,s41,s1315,s1421,s4134,s938,s312,s4805,s4807,s1112,s4288,s5711,s112,s5710,s84,s15,s37,s4902,s5313,s943,s5681,s5680]) ).
cnf(s5727,plain,
( ~ spl2_306
| ~ spl2_4
| ~ spl2_208
| ~ spl2_232
| spl2_128
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s5695,s1515,s1991,s449,s1238,s893,s1743,s4884,s5700,s5321,s107,s5313,s41,s1421,s15,s112,s4793,s745,s4493,s4027,s312,s5710,s84,s37,s4902,s5680]) ).
cnf(s5728,plain,
( ~ spl2_192
| spl2_268
| ~ spl2_239
| ~ spl2_149
| ~ spl2_4
| ~ spl2_232
| spl2_10
| ~ spl2_106
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s5436,s5701,s5104,s539,s3209,s4661,s5548,s5712,s5713,s4051,s107,s4591,s112,s4134,s943,s4793,s745,s4493,s4027,s312,s5710,s84,s37,s4902,s5681,s5680]) ).
cnf(s5729,plain,
( ~ spl2_155
| ~ spl2_4
| ~ spl2_232
| spl2_128
| ~ spl2_106
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s5695,s1515,s1991,s1238,s5728,s658,s5313,s41,s1421,s4793,s745,s4493,s4027,s312,s5710,s84,s37,s947,s449,s4402,s5727,s4807,s1112,s4288,s943,s4902,s5680]) ).
cnf(s5730,plain,
( ~ spl2_192
| spl2_155
| ~ spl2_239
| ~ spl2_149
| ~ spl2_4
| ~ spl2_232
| spl2_10
| ~ spl2_106
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s955,s971,s1768,s5728,s4027,s37,s4902,s312,s5681,s5680]) ).
cnf(s5731,plain,
( spl2_185
| ~ spl2_478
| ~ spl2_268
| ~ spl2_217
| spl2_39
| spl2_155
| ~ spl2_239
| ~ spl2_149
| ~ spl2_27
| ~ spl2_77
| ~ spl2_4
| ~ spl2_208
| ~ spl2_232
| ~ spl2_106
| ~ spl2_98
| spl2_186
| ~ spl2_30
| spl2_20
| spl2_118
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s831,s4087,s3995,s843,s1723,s1769,s4572,s4635,s5696,s4954,s4661,s4787,s5698,s3666,s539,s3240,s3208,s1933,s1236,s681,s5070,s903,s4410,s312,s5313,s15,s37,s954,s5681,s5680]) ).
cnf(s5732,plain,
( ~ spl2_106
| spl2_132
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s3858,s5104,s4482,s3209,s5731,s3154,s1458,s4373,s1592,s513,s2320,s954,s1556,s955,s1519,s1515,s1467,s1238,s5730,s5729,s449,s4402,s947,s5727,s4793,s745,s4493,s5726,s4807,s4805,s1112,s4288,s5711,s943,s107,s5313,s4899,s2188,s1421,s4027,s312,s292,s4591,s5673,s15,s112,s4134,s5710,s84,s37,s4902,s5680]) ).
cnf(s5733,plain,
( spl2_132
| ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s821,s2312,s1941,s5721,s5075,s4051,s4572,s828,s1238,s5696,s2730,s5502,s4884,s658,s4274,s741,s2237,s3566,s2316,s2793,s4912,s318,s449,s492,s4402,s947,s4805,s5706,s4063,s1784,s5087,s4754,s152,s5732,s107,s5313,s2188,s1315,s1421,s4591,s900,s15,s576,s3905,s3908,s4131,s4899,s938,s112,s5710,s84,s37,s4902,s312,s5681,s5680]) ).
cnf(s5734,plain,
( ~ spl2_366
| spl2_286
| ~ spl2_239
| ~ spl2_149
| ~ spl2_206
| spl2_42
| ~ spl2_132
| ~ spl2_98
| ~ spl2_18
| ~ spl2_12
| ~ spl2_133
| spl2_118
| spl2_13
| ~ spl2_32 ),
inference(rat,[],[s3955,s4572,s5072,s1941,s821,s4369,s1654,s2935,s2663,s2880,s846,s2499,s4086,s152,s860,s5681]) ).
cnf(s5735,plain,
( ~ spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s2935,s4076,s2663,s4639,s5072,s2880,s1730,s3696,s974,s977,s5734,s4051,s1238,s449,s861,s4402,s947,s5706,s309,s4063,s5087,s4754,s152,s860,s5733,s112,s5710,s900,s84,s15,s37,s4902,s1421,s312,s107,s5313,s4899,s5681,s5680]) ).
cnf(s5736,plain,
( ~ spl2_107
| ~ spl2_388
| spl2_13
| spl2_31
| ~ spl2_114 ),
inference(rat,[],[s4063,s152,s3567,s321,s387,s4671,s4899,s5680]) ).
cnf(s5737,plain,
( ~ spl2_306
| ~ spl2_116
| ~ spl2_27
| spl2_50
| ~ spl2_17
| ~ spl2_133
| spl2_118
| ~ spl2_111 ),
inference(rat,[],[s953,s898,s665,s1038,s4480]) ).
cnf(s5738,plain,
( ~ spl2_155
| spl2_306
| ~ spl2_15
| ~ spl2_4
| ~ spl2_77
| ~ spl2_98
| spl2_123
| spl2_21
| spl2_109 ),
inference(rat,[],[s1515,s449,s4644,s1238,s893,s4374,s897,s4193,s4884,s658,s4793,s1420,s4807,s152,s2827,s51,s1170,s5680]) ).
cnf(s5739,plain,
( ~ spl2_116
| ~ spl2_97
| ~ spl2_98
| spl2_12
| ~ spl2_133
| spl2_21
| spl2_118
| ~ spl2_14
| spl2_112 ),
inference(rat,[],[s513,s4848,s1556,s2826,s1343,s4385,s5738,s947,s5737,s4593,s15,s3080,s385,s107,s5313,s938,s4793,s51,s1170,s2851,s312,s1346,s17,s5680]) ).
cnf(s5740,plain,
( ~ spl2_133
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s449,s3931,s443,s4193,s2469,s1238,s861,s152,s4955,s4661,s4677,s5739,s4793,s4417,s4416,s886,s2851,s938,s874,s112,s5736,s1346,s76,s3446,s17,s5735,s1315,s312,s107,s398,s5313,s4899,s2188,s5681,s5680]) ).
cnf(s5741,plain,
( ~ spl2_27
| ~ spl2_239
| ~ spl2_251
| ~ spl2_155
| ~ spl2_306
| ~ spl2_17
| spl2_180
| ~ spl2_107
| spl2_118
| spl2_31
| ~ spl2_111 ),
inference(rat,[],[s1542,s1716,s1677,s4250,s4639,s831,s2396,s4480,s5721,s898,s886,s387,s4899,s663,s5680]) ).
cnf(s5742,plain,
( spl2_147
| ~ spl2_48
| spl2_268
| ~ spl2_306
| ~ spl2_71 ),
inference(rat,[],[s4585,s1592,s3430,s3701,s1764,s5680]) ).
cnf(s5743,plain,
( ~ spl2_147
| ~ spl2_107
| spl2_31
| spl2_109 ),
inference(rat,[],[s3316,s441,s1238,s1602,s1438,s4811,s387,s4899,s152,s321,s4671,s5680]) ).
cnf(s5744,plain,
( ~ spl2_155
| ~ spl2_306
| spl2_147
| ~ spl2_71
| ~ spl2_15
| ~ spl2_17
| spl2_180
| ~ spl2_107
| spl2_21
| spl2_118
| spl2_31
| ~ spl2_111 ),
inference(rat,[],[s3882,s49,s5741,s5742,s4884,s658,s1420,s449,s5681]) ).
cnf(s5745,plain,
( ~ spl2_77
| ~ spl2_15
| ~ spl2_128
| ~ spl2_107
| spl2_133 ),
inference(rat,[],[s1616,s4900,s4672,s1279,s4747,s1170,s5680]) ).
cnf(s5746,plain,
( ~ spl2_306
| spl2_77
| spl2_147
| ~ spl2_71
| ~ spl2_15
| ~ spl2_17
| spl2_180
| ~ spl2_107
| spl2_21
| spl2_118
| spl2_31
| ~ spl2_111 ),
inference(rat,[],[s3798,s5744,s663,s449]) ).
cnf(s5747,plain,
( spl2_268
| spl2_237
| spl2_306
| ~ spl2_15
| ~ spl2_102
| spl2_97
| ~ spl2_120
| spl2_109 ),
inference(rat,[],[s4924,s1238,s3332,s2730,s4374]) ).
cnf(s5748,plain,
( spl2_132
| spl2_306
| ~ spl2_38
| spl2_419
| ~ spl2_239
| ~ spl2_15
| ~ spl2_391
| ~ spl2_17
| spl2_184
| spl2_97
| ~ spl2_128
| ~ spl2_117
| spl2_133
| spl2_118
| spl2_13
| spl2_109 ),
inference(rat,[],[s1709,s4596,s679,s2505,s4370,s721,s826,s53,s4900,s1954,s4593,s51,s1169,s3537,s513,s1238,s1236,s955,s607,s3931,s2397,s2819,s971,s658,s5747,s4104,s319,s4964,s152,s321,s1420,s947,s5680,s5681]) ).
cnf(s5749,plain,
( ~ spl2_107
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s1235,s4759,s2171,s1757,s532,s681,s4786,s4814,s4095,s717,s4619,s4864,s1716,s2663,s3652,s1604,s2880,s1353,s1605,s4884,s658,s4593,s1339,s607,s2726,s3248,s513,s2393,s4787,s52,s1168,s1169,s1171,s4026,s862,s5748,s947,s5746,s49,s1285,s1232,s745,s5745,s449,s5743,s1420,s76,s15,s3446,s17,s309,s152,s4902,s1129,s886,s4964,s567,s815,s2063,s321,s1377,s387,s341,s5657,s4671,s312,s107,s5114,s398,s5313,s4899,s319,s5740,s5680]) ).
cnf(s5750,plain,
( spl2_97
| ~ spl2_18
| ~ spl2_12
| ~ spl2_98
| spl2_118
| spl2_13
| spl2_112 ),
inference(rat,[],[s5711,s860,s152,s309,s4288,s1129,s5313,s5681]) ).
cnf(s5751,plain,
( ~ spl2_192
| spl2_156
| ~ spl2_27
| ~ spl2_9
| spl2_10
| ~ spl2_232
| spl2_180
| spl2_238
| ~ spl2_239
| ~ spl2_75
| ~ spl2_251
| ~ spl2_98
| spl2_118
| ~ spl2_32 ),
inference(rat,[],[s4786,s1757,s2174,s3778,s821,s2312,s828,s4584,s5696,s5721,s4923,s1756,s4051]) ).
cnf(s5752,plain,
( ~ spl2_183
| spl2_188
| ~ spl2_9
| spl2_128
| ~ spl2_106
| spl2_103
| ~ spl2_232
| spl2_180
| spl2_197
| ~ spl2_239
| ~ spl2_30
| ~ spl2_12
| ~ spl2_251
| ~ spl2_155
| ~ spl2_306
| ~ spl2_98
| spl2_118
| spl2_13
| spl2_112 ),
inference(rat,[],[s766,s1236,s679,s2657,s4370,s4468,s899,s5719,s4833,s955,s4585,s1467,s1991,s4836,s5313,s41,s658,s1421,s4807,s1112,s943,s5750,s15,s37,s539,s5680]) ).
cnf(s5753,plain,
( ~ spl2_27
| ~ spl2_192
| ~ spl2_9
| spl2_10
| ~ spl2_232
| spl2_180
| spl2_238
| ~ spl2_239
| ~ spl2_75
| ~ spl2_251
| ~ spl2_155
| ~ spl2_98
| spl2_118
| ~ spl2_32 ),
inference(rat,[],[s5751,s898]) ).
cnf(s5754,plain,
( ~ spl2_345
| ~ spl2_192
| spl2_132
| spl2_147
| ~ spl2_155
| ~ spl2_98
| ~ spl2_120
| spl2_21
| spl2_118 ),
inference(rat,[],[s3224,s3470,s4788,s4306,s4618,s2485,s4597]) ).
cnf(s5755,plain,
( spl2_4
| ~ spl2_106
| spl2_103
| spl2_132
| spl2_197
| spl2_147
| ~ spl2_30
| ~ spl2_12
| ~ spl2_155
| ~ spl2_306
| ~ spl2_98
| ~ spl2_120
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s4786,s1757,s2174,s3778,s821,s2312,s977,s5754,s828,s5696,s2849,s4903,s5753,s4584,s4923,s4051,s1238,s5752,s5550,s4900,s52,s1273,s4884,s4591,s449,s2207,s312,s576,s3905,s3908,s4131,s4805,s2793,s4912,s5711,s5313,s4807,s1112,s943,s5750,s15,s37,s5680]) ).
cnf(s5756,plain,
( ~ spl2_192
| ~ spl2_27
| spl2_10
| ~ spl2_106
| ~ spl2_232
| spl2_180
| spl2_238
| ~ spl2_239
| ~ spl2_75
| ~ spl2_251
| ~ spl2_155
| ~ spl2_98
| spl2_118
| ~ spl2_32 ),
inference(rat,[],[s3334,s4788,s2499,s2663,s2134,s4320,s4877,s4846,s821,s2312,s4924,s828,s1551,s5696,s4584,s5721,s4193,s4923,s4051,s4807]) ).
cnf(s5757,plain,
( ~ spl2_106
| spl2_103
| spl2_132
| spl2_197
| spl2_147
| ~ spl2_30
| ~ spl2_12
| ~ spl2_155
| ~ spl2_306
| spl2_107
| ~ spl2_120
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s5695,s1991,s1515,s1238,s5756,s4793,s745,s4493,s5755,s4807,s1112,s5711,s943,s5313,s41,s4884,s1421,s4591,s4027,s449,s2207,s312,s576,s3905,s3908,s4131,s4805,s5750,s15,s37,s112,s5680]) ).
cnf(s5758,plain,
( spl2_132
| spl2_197
| spl2_147
| ~ spl2_30
| ~ spl2_12
| ~ spl2_155
| ~ spl2_306
| spl2_107
| spl2_133
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s4788,s2185,s4618,s1769,s4597,s3778,s977,s821,s4086,s850,s4507,s3430,s2499,s1458,s4585,s4900,s52,s5383,s4833,s1616,s309,s4063,s1784,s152,s5757,s2793,s4014,s4912,s4805,s312,s2188,s319,s658,s1421,s5750,s15,s37,s112,s5680]) ).
cnf(s5759,plain,
( spl2_4
| ~ spl2_287
| ~ spl2_174
| spl2_286
| spl2_42
| ~ spl2_239
| ~ spl2_218
| ~ spl2_18
| ~ spl2_12
| ~ spl2_251
| spl2_109 ),
inference(rat,[],[s2384,s4482,s4819,s4062,s4386,s1236,s766,s586,s679,s4492,s539,s5035,s4900,s52,s1273,s1421,s5680]) ).
cnf(s5760,plain,
( ~ spl2_12
| ~ spl2_155
| ~ spl2_306
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s4250,s4572,s831,s4023,s2490,s1757,s4788,s4786,s2134,s2174,s1941,s4846,s821,s4369,s1654,s2663,s2880,s846,s2499,s4086,s5721,s4793,s745,s4493,s5759,s4584,s4787,s748,s4026,s4833,s4964,s4923,s4928,s4051,s309,s4063,s1784,s1238,s152,s861,s860,s5758,s576,s3905,s267,s2207,s3908,s449,s4027,s4591,s15,s4131,s4811,s37,s3213,s5673,s4902,s312,s5313,s4899,s2188,s5740,s112,s5749,s687,s4884,s5681,s5680]) ).
cnf(s5761,plain,
( spl2_132
| ~ spl2_25
| ~ spl2_97
| spl2_12
| ~ spl2_155
| ~ spl2_306
| spl2_426
| spl2_133
| spl2_13
| spl2_31
| spl2_109 ),
inference(rat,[],[s1602,s441,s4811,s5742,s658,s3802,s111,s4677,s385,s2223,s4893,s15,s4016,s4899,s76,s1232,s398,s49,s17,s5680]) ).
cnf(s5762,plain,
( ~ spl2_155
| ~ spl2_306
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s2990,s4467,s1236,s4827,s766,s1859,s679,s4370,s826,s53,s765,s4593,s955,s4787,s2056,s15,s1602,s4026,s4833,s4811,s4900,s4964,s3930,s4928,s4007,s4063,s1784,s1238,s152,s861,s860,s5761,s1232,s745,s4793,s51,s886,s898,s1169,s3431,s4480,s4664,s3865,s17,s5760,s4884,s687,s398,s5313,s4899,s2188,s5740,s1528,s938,s112,s5749,s312,s5680,s5681]) ).
cnf(s5763,plain,
( ~ spl2_175
| ~ spl2_27
| spl2_346
| spl2_286
| ~ spl2_239
| spl2_155
| spl2_118 ),
inference(rat,[],[s981,s1757,s4318]) ).
cnf(s5764,plain,
( spl2_132
| ~ spl2_12
| ~ spl2_306
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s4273,s831,s2499,s4639,s4306,s1730,s2485,s977,s805,s1769,s821,s4700,s2174,s1640,s4786,s5763,s4793,s3798,s2160,s4051,s5075,s1238,s5038,s1519,s4833,s4807,s4584,s4585,s1112,s3430,s513,s943,s1261,s152,s4794,s953,s2237,s2793,s1484,s4912,s4805,s312,s107,s5313,s2188,s319,s5740,s1421,s4274,s5750,s112,s5749,s449,s443,s4899,s971,s955,s4383,s941,s15,s37,s4902,s5762,s5681,s5680]) ).
cnf(s5765,plain,
( ~ spl2_366
| ~ spl2_287
| ~ spl2_27
| spl2_286
| ~ spl2_206
| ~ spl2_192
| ~ spl2_132
| ~ spl2_239
| spl2_155
| spl2_118
| spl2_13 ),
inference(rat,[],[s2174,s4786,s821,s5763,s4369,s2163,s1654,s2663,s2880,s846,s2499,s4086,s152,s860,s5681]) ).
cnf(s5766,plain,
( ~ spl2_211
| spl2_347
| ~ spl2_345
| spl2_274
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_109 ),
inference(rat,[],[s1240,s1762,s1672,s681,s4814,s4226,s1732]) ).
cnf(s5767,plain,
( ~ spl2_12
| ~ spl2_306
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s1235,s3476,s2102,s679,s5766,s981,s977,s5765,s1706,s765,s1552,s4584,s4787,s4793,s4585,s748,s4026,s3798,s4833,s4964,s4051,s309,s4063,s1784,s1238,s152,s861,s860,s5764,s971,s955,s449,s4383,s443,s4949,s941,s15,s37,s4902,s312,s5313,s4899,s2188,s112,s5749,s5762,s5681,s5680]) ).
cnf(s5768,plain,
( spl2_132
| ~ spl2_97
| ~ spl2_237
| spl2_155
| ~ spl2_306
| spl2_133
| spl2_13 ),
inference(rat,[],[s941,s15,s1484,s4016,s4805]) ).
cnf(s5769,plain,
( ~ spl2_306
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s443,s4928,s2469,s1238,s152,s861,s860,s5768,s688,s886,s2826,s3431,s4664,s4385,s3865,s17,s5767,s5762,s312,s5313,s4899,s5740,s112,s5749,s5681,s5680]) ).
cnf(s5770,plain,
( ~ spl2_174
| spl2_188
| ~ spl2_217
| ~ spl2_192
| ~ spl2_251
| ~ spl2_218
| spl2_109 ),
inference(rat,[],[s766,s1236,s679,s2990,s4492,s4467,s539]) ).
cnf(s5771,plain,
( ~ spl2_202
| ~ spl2_219
| ~ spl2_106
| spl2_10
| ~ spl2_27
| ~ spl2_232
| ~ spl2_155
| spl2_180
| ~ spl2_239
| ~ spl2_75
| ~ spl2_18
| ~ spl2_12
| spl2_306
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s681,s5722,s701,s899,s4630,s4646]) ).
cnf(s5772,plain,
( ~ spl2_211
| ~ spl2_27
| spl2_286
| ~ spl2_251
| ~ spl2_239
| spl2_109 ),
inference(rat,[],[s4386,s1236,s772,s766]) ).
cnf(s5773,plain,
( spl2_132
| ~ spl2_155
| ~ spl2_30
| ~ spl2_12
| spl2_306
| ~ spl2_98
| spl2_133
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s1714,s2505,s1240,s4465,s5322,s4827,s539,s5771,s679,s5772,s1542,s4320,s152,s4063,s4572,s5075,s1941,s4846,s51,s821,s1170,s2312,s743,s745,s828,s977,s120,s2793,s5696,s5754,s170,s4912,s4805,s312,s107,s4591,s449,s4402,s5750,s15,s576,s3905,s3908,s4131,s37,s4884,s3206,s4240,s4159,s4051,s1756,s1238,s2730,s319,s5313,s4373,s658,s1422,s947,s5681,s5680]) ).
cnf(s5774,plain,
( ~ spl2_27
| ~ spl2_132
| spl2_286
| ~ spl2_251
| spl2_180
| ~ spl2_239
| ~ spl2_218
| spl2_118
| spl2_13
| spl2_112 ),
inference(rat,[],[s4329,s4363,s1237,s821,s4621,s4369,s2774,s1654,s2663,s4940,s2880,s539,s5362,s4492,s4479,s679,s5772,s5721,s312,s5313,s765,s4787,s4026,s4964,s1784,s2188,s152,s860,s5681]) ).
cnf(s5775,plain,
( ~ spl2_155
| ~ spl2_30
| ~ spl2_12
| spl2_306
| spl2_107
| spl2_133
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s766,s1236,s4659,s4386,s2393,s694,s5770,s955,s4584,s51,s5759,s4900,s52,s1770,s741,s5774,s1552,s4787,s4026,s4964,s4063,s1784,s152,s860,s5773,s4051,s1238,s2730,s658,s4884,s687,s5313,s2188,s319,s112,s1422,s947,s15,s4027,s312,s449,s4402,s576,s3905,s3908,s4131,s37,s5680,s5681]) ).
cnf(s5776,plain,
( spl2_132
| ~ spl2_12
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s1732,s4814,s679,s681,s1511,s4883,s3208,s1933,s1236,s2819,s1897,s1235,s1139,s2505,s5511,s899,s5083,s955,s971,s1112,s2730,s943,s1238,s152,s5124,s2237,s953,s3154,s2793,s4104,s4014,s4912,s312,s107,s5313,s319,s1422,s947,s449,s4402,s5750,s15,s112,s4274,s5775,s5769,s5749,s5740,s4899,s37,s4902,s5681,s5680]) ).
cnf(s5777,plain,
( ~ spl2_12
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s4562,s2261,s4786,s4572,s1757,s5072,s981,s3696,s977,s5765,s4584,s51,s4793,s1170,s955,s3798,s1768,s4051,s1238,s861,s309,s5706,s4063,s152,s860,s5776,s5775,s449,s4027,s15,s4402,s37,s4902,s312,s5313,s4899,s5740,s112,s5749,s1422,s947,s5769,s5680,s5681]) ).
cnf(s5778,plain,
( ~ spl2_366
| ~ spl2_18
| ~ spl2_232
| spl2_132
| spl2_12
| ~ spl2_98
| spl2_133
| ~ spl2_114 ),
inference(rat,[],[s3778,s821,s4890,s805,s1723,s5383,s4102,s3480,s3219,s4900,s52,s3080,s17,s938,s5680]) ).
cnf(s5779,plain,
( spl2_132
| ~ spl2_192
| ~ spl2_155
| ~ spl2_97
| spl2_12
| ~ spl2_149
| ~ spl2_98
| spl2_133
| spl2_21
| spl2_118
| ~ spl2_32
| ~ spl2_114 ),
inference(rat,[],[s2851,s5696,s893,s828,s2504,s2499,s4788,s944,s4306,s4618,s5754,s2485,s4597,s977,s5778,s15,s4104,s4016,s4805,s319,s4884]) ).
cnf(s5781,plain,
( spl2_4
| ~ spl2_15
| spl2_278
| ~ spl2_174
| ~ spl2_192
| spl2_184
| ~ spl2_251
| ~ spl2_17
| spl2_306
| spl2_50
| spl2_13
| spl2_109 ),
inference(rat,[],[s2990,s4467,s1236,s4827,s766,s1859,s679,s4646,s826,s955,s53,s2443,s4593,s51,s4900,s52,s5680]) ).
cnf(s5782,plain,
( ~ spl2_15
| spl2_278
| ~ spl2_174
| spl2_39
| ~ spl2_192
| spl2_184
| ~ spl2_251
| ~ spl2_155
| ~ spl2_17
| spl2_306
| spl2_50
| spl2_13
| spl2_109 ),
inference(rat,[],[s897,s3882,s4644,s3248,s5781,s4374,s658,s1422,s947,s5681]) ).
cnf(s5783,plain,
( spl2_211
| spl2_77
| spl2_278
| spl2_274
| spl2_13
| ~ spl2_32 ),
inference(rat,[],[s681,s4932,s700,s679]) ).
cnf(s5784,plain,
( ~ spl2_366
| ~ spl2_25
| ~ spl2_239
| ~ spl2_9
| ~ spl2_132
| spl2_286
| ~ spl2_251
| spl2_12
| ~ spl2_98
| spl2_118
| spl2_13
| ~ spl2_32
| ~ spl2_114 ),
inference(rat,[],[s1757,s4786,s3778,s840,s821,s831,s4369,s3168,s1654,s2943,s2663,s2880,s846,s3480,s3219,s152,s860,s5681]) ).
cnf(s5785,plain,
( ~ spl2_239
| ~ spl2_9
| ~ spl2_218
| ~ spl2_132
| spl2_286
| spl2_180
| ~ spl2_251
| spl2_322
| spl2_12
| ~ spl2_149
| ~ spl2_98
| spl2_21
| spl2_118
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s821,s2551,s3778,s1237,s1757,s2663,s2150,s4786,s2880,s4597,s788,s974,s977,s5784,s4467,s694,s4386,s1236,s766,s5783,s741,s4793,s5774,s312,s5313,s1552,s765,s4787,s4026,s4964,s1784,s2188,s152,s860,s5681]) ).
cnf(s5786,plain,
( ~ spl2_366
| ~ spl2_273
| ~ spl2_304
| ~ spl2_25
| ~ spl2_9
| spl2_274
| ~ spl2_132
| spl2_12
| ~ spl2_98
| spl2_13
| spl2_112 ),
inference(rat,[],[s821,s3778,s4369,s5490,s1654,s2943,s2663,s2880,s846,s3480,s3219,s312,s5313,s152,s860,s5681]) ).
cnf(s5787,plain,
( ~ spl2_155
| spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s831,s2555,s4250,s2943,s1237,s3475,s2663,s2150,s4786,s2880,s4597,s788,s974,s977,s5786,s681,s4814,s694,s696,s5770,s4226,s955,s5783,s745,s1602,s893,s4811,s449,s5785,s4900,s52,s3080,s4027,s15,s5782,s765,s1552,s4787,s4026,s4964,s2469,s1784,s1280,s152,s860,s5779,s4051,s1238,s2730,s2064,s565,s658,s655,s4884,s687,s5313,s4899,s2188,s319,s5740,s938,s1422,s947,s5769,s26,s5,s17,s638,s886,s3431,s3865,s5777,s312,s112,s5749,s5680,s5681]) ).
cnf(s5788,plain,
( spl2_21
| spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s449,s443,s3931,s2469,s1238,s152,s861,s860,s4104,s688,s2826,s4385,s5787,s3446,s5777,s947,s5769,s112,s5749,s5740,s312,s5313,s4899,s5681,s5680]) ).
cnf(s5789,plain,
( ~ spl2_107
| ~ spl2_81
| ~ spl2_337
| spl2_118
| spl2_31 ),
inference(rat,[],[s5710,s1688]) ).
cnf(s5790,plain,
( ~ spl2_12
| ~ spl2_21
| ~ spl2_114
| spl2_107 ),
inference(rat,[],[s52,s933,s5355,s5681]) ).
cnf(s5791,plain,
( ~ spl2_139
| spl2_242
| ~ spl2_306
| ~ spl2_18
| ~ spl2_32
| spl2_109 ),
inference(rat,[],[s3930,s4833,s1238,s4947,s1120]) ).
cnf(s5792,plain,
( ~ spl2_306
| ~ spl2_17
| spl2_50
| ~ spl2_21
| spl2_13
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s152,s1990,s322,s492,s4416,s318,s319,s308,s5791,s4900,s1169,s4480,s4664,s312,s5313,s3080,s15,s67,s5680,s5681]) ).
cnf(s5793,plain,
( spl2_118
| spl2_13
| spl2_31
| spl2_112 ),
inference(rat,[],[s2826,s688,s4385,s3337,s3206,s947,s5792,s17,s5790,s938,s112,s5789,s84,s67,s934,s5788,s312,s4899,s5681,s5680]) ).
cnf(s5794,plain,
( ~ spl2_118
| ~ spl2_32
| spl2_134 ),
inference(rat,[],[s135,s3048,s5680]) ).
cnf(s5795,plain,
( ~ spl2_107
| ~ spl2_30
| spl2_31
| ~ spl2_114 ),
inference(rat,[],[s4063,s4130,s152,s319,s321,s1377,s387,s4671,s4899,s15,s37,s5680]) ).
cnf(s5796,plain,
( ~ spl2_345
| spl2_286
| ~ spl2_27
| ~ spl2_239
| ~ spl2_251
| spl2_118 ),
inference(rat,[],[s4786,s1757,s4095,s981]) ).
cnf(s5797,plain,
( spl2_4
| ~ spl2_388
| ~ spl2_306
| ~ spl2_251
| ~ spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s4877,s821,s2663,s805,s4619,s977,s5796,s1714,s1240,s2672,s5362,s1511,s2505,s3960,s4602,s2171,s1236,s681,s3537,s4410,s4752,s3478,s2271,s1235,s4755,s4492,s679,s5540,s539,s4903,s5550,s3566,s111,s322,s4743,s52,s1273,s107,s4027,s938,s112,s5795,s1592,s955,s449,s4811,s3213,s4830,s4947,s614,s4836,s1238,s4923,s2207,s3338,s5313,s658,s4807,s152,s4063,s4833,s15,s37,s4902,s3011,s312,s1885,s1421,s5793,s5794,s4899,s5114,s5680]) ).
cnf(s5798,plain,
( ~ spl2_4
| spl2_39
| spl2_36
| ~ spl2_42
| ~ spl2_155
| ~ spl2_16
| ~ spl2_12
| ~ spl2_22 ),
inference(rat,[],[s4903,s2234,s5396,s27]) ).
cnf(s5799,plain,
( ~ spl2_306
| ~ spl2_155
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s5796,s2775,s4903,s1693,s1666,s1240,s3030,s2672,s572,s5362,s5718,s2171,s1511,s2505,s681,s4632,s4937,s4410,s4752,s645,s2271,s1235,s4755,s4787,s4492,s679,s5540,s539,s5550,s5075,s111,s1239,s1315,s322,s5797,s4743,s52,s1273,s5798,s1515,s62,s4807,s3573,s4836,s861,s614,s152,s1238,s5038,s4063,s4923,s4830,s4833,s2207,s107,s5313,s5673,s1885,s15,s7,s4027,s37,s938,s112,s5795,s4902,s312,s687,s658,s1421,s1592,s3011,s4750,s955,s3338,s4884,s5793,s5794,s4899,s5114,s449,s4811,s3213,s5681,s5680]) ).
cnf(s5800,plain,
( spl2_278
| ~ spl2_177
| spl2_373
| ~ spl2_219
| spl2_268
| spl2_159
| spl2_109 ),
inference(rat,[],[s2155,s4709,s1240,s1235,s2521,s3478]) ).
cnf(s5801,plain,
( spl2_185
| spl2_139
| ~ spl2_192
| spl2_306
| spl2_147
| spl2_268
| ~ spl2_98
| ~ spl2_12
| spl2_109 ),
inference(rat,[],[s4101,s2547,s1235,s3960,s4759,s5089,s645,s449,s947,s4051]) ).
cnf(s5802,plain,
( ~ spl2_106
| ~ spl2_192
| ~ spl2_133
| spl2_306
| spl2_147
| spl2_268
| spl2_159
| ~ spl2_12
| spl2_31
| spl2_112 ),
inference(rat,[],[s4196,s4644,s681,s4743,s2764,s322,s4746,s1235,s4596,s3478,s5104,s899,s3209,s5801,s539,s5548,s860,s943,s107,s5313,s1885,s1421,s5793,s5794,s4899,s5114,s15,s37,s449,s947,s513,s4373,s4134,s4051,s112,s5795,s4902,s312,s5681,s5680]) ).
cnf(s5803,plain,
( ~ spl2_192
| ~ spl2_133
| ~ spl2_155
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s3209,s4479,s5089,s4226,s4940,s3198,s5770,s4787,s4663,s385,s4644,s5144,s3316,s1697,s1280,s103,s152,s5802,s4051,s5313,s15,s4027,s37,s112,s5795,s4902,s312,s3011,s955,s4531,s4750,s449,s4811,s3213,s947,s4506,s513,s4373,s5799,s658,s1421,s3338,s4884,s5793,s5794,s4899,s5114,s5681,s5680]) ).
cnf(s5804,plain,
( ~ spl2_106
| ~ spl2_183
| ~ spl2_133
| ~ spl2_153
| ~ spl2_149
| ~ spl2_251
| ~ spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s2903,s4805,s4572,s4130,s805,s821,s4877,s2663,s5072,s1542,s4619,s5267,s1714,s1240,s2672,s5362,s977,s1511,s2505,s5796,s3960,s2171,s4602,s681,s1236,s4410,s4752,s3537,s899,s3478,s1235,s4755,s4492,s679,s5540,s539,s4903,s5550,s3566,s111,s322,s4743,s52,s1273,s4644,s1515,s4807,s107,s5313,s1885,s15,s4027,s37,s938,s112,s5795,s4902,s312,s1592,s3011,s955,s3338,s5793,s5794,s4899,s5114,s449,s4811,s3213,s609,s5673,s1315,s1120,s861,s687,s4836,s658,s1421,s5680]) ).
cnf(s5805,plain,
( ~ spl2_133
| ~ spl2_155
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s901,s3960,s679,s5089,s5772,s2171,s1235,s4903,s681,s4759,s3566,s4410,s645,s3997,s5108,s385,s4805,s52,s4130,s4644,s4063,s1280,s103,s152,s5804,s861,s1120,s1238,s5803,s1315,s107,s5313,s15,s37,s938,s112,s5795,s4902,s312,s687,s4884,s3011,s4750,s5793,s5794,s4899,s5114,s449,s4811,s3213,s947,s513,s4373,s5799,s658,s1421,s5680]) ).
cnf(s5806,plain,
( ~ spl2_106
| spl2_133
| spl2_306
| spl2_147
| spl2_268
| spl2_159
| spl2_107
| ~ spl2_18
| ~ spl2_12
| ~ spl2_13
| spl2_118
| spl2_109 ),
inference(rat,[],[s4596,s4723,s2505,s1235,s3698,s3478,s539,s5550,s4743,s1273,s4794,s4629,s2793,s4507,s899,s4805,s4912,s4104,s5801,s4807,s860,s943,s1885,s1421,s112,s449,s513,s4373,s4881,s1238,s876,s319,s4215,s947,s5681]) ).
cnf(s5807,plain,
( ~ spl2_155
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s3339,s4788,s821,s2155,s4571,s1240,s4620,s2774,s2663,s4709,s5796,s2880,s1235,s741,s5362,s3477,s4659,s4479,s679,s681,s2393,s4226,s4814,s4827,s694,s3198,s696,s5770,s1552,s4787,s4026,s4743,s4964,s4805,s4644,s4592,s3316,s1280,s152,s5806,s4923,s4051,s1238,s876,s4881,s319,s5805,s513,s4215,s4373,s947,s5799,s449,s4531,s955,s4811,s3338,s658,s3213,s3011,s4884,s687,s5313,s4750,s1885,s1421,s5793,s5794,s4899,s5114,s15,s4027,s37,s112,s5795,s4902,s312,s5680]) ).
cnf(s5808,plain,
( spl2_42
| spl2_132
| ~ spl2_133
| ~ spl2_306
| ~ spl2_18
| ~ spl2_22
| spl2_118
| ~ spl2_111 ),
inference(rat,[],[s4805,s5056,s4130]) ).
cnf(s5809,plain,
( ~ spl2_133
| ~ spl2_306
| spl2_155
| ~ spl2_18
| spl2_10
| ~ spl2_22
| spl2_118
| spl2_112 ),
inference(rat,[],[s1467,s4807,s955,s152,s954,s4063,s5808,s861,s1238,s688,s3247,s953,s1038,s312,s107,s5313]) ).
cnf(s5810,plain,
( ~ spl2_106
| spl2_116
| spl2_268
| ~ spl2_241
| spl2_232 ),
inference(rat,[],[s4585,s1227,s3430,s886,s1261,s4805,s4661,s860,s5680,s5681]) ).
cnf(s5811,plain,
( ~ spl2_393
| ~ spl2_241
| spl2_109 ),
inference(rat,[],[s1235,s1139,s1897,s3903]) ).
cnf(s5812,plain,
( spl2_360
| ~ spl2_211
| ~ spl2_219
| spl2_278
| spl2_42
| ~ spl2_27
| ~ spl2_239
| ~ spl2_157
| spl2_286
| ~ spl2_306
| spl2_155
| ~ spl2_18
| ~ spl2_13
| spl2_118
| spl2_109 ),
inference(rat,[],[s4562,s4786,s2261,s5763,s4572,s2160,s5039]) ).
cnf(s5813,plain,
( ~ spl2_360
| ~ spl2_132
| ~ spl2_206
| spl2_29
| ~ spl2_242
| spl2_322
| spl2_20
| spl2_118 ),
inference(rat,[],[s2880,s846,s2663,s2499,s2490,s4086,s4788,s831,s977,s1024,s1940,s3696]) ).
cnf(s5814,plain,
( ~ spl2_219
| spl2_360
| spl2_278
| ~ spl2_174
| spl2_42
| ~ spl2_27
| ~ spl2_239
| ~ spl2_157
| spl2_286
| ~ spl2_306
| spl2_155
| ~ spl2_218
| ~ spl2_18
| ~ spl2_13
| spl2_118
| spl2_109 ),
inference(rat,[],[s679,s5812,s4492]) ).
cnf(s5815,plain,
( ~ spl2_192
| ~ spl2_306
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4279,s1236,s4226,s1853,s3198,s539,s5814,s5813,s1706,s765,s4787,s4663,s5811,s4014,s111,s1261,s3430,s4585,s4833,s309,s4063,s152,s5810,s4793,s4747,s1170,s3798,s4928,s449,s4811,s4584,s971,s1602,s1150,s4923,s3247,s4051,s5313,s4027,s112,s5795,s2207,s312,s4881,s5809,s5807,s15,s37,s4902,s1885,s1421,s4750,s5793,s5794,s4899,s5114,s5680,s5681]) ).
cnf(s5816,plain,
( ~ spl2_202
| ~ spl2_219
| ~ spl2_217
| ~ spl2_183
| spl2_155
| ~ spl2_218
| spl2_15
| spl2_118
| spl2_109 ),
inference(rat,[],[s4836,s2819,s3422,s1897,s1235,s1236,s4787,s2545,s4380,s4492,s4575,s4274]) ).
cnf(s5817,plain,
( ~ spl2_211
| ~ spl2_481
| spl2_132
| ~ spl2_120
| ~ spl2_12
| ~ spl2_22
| spl2_31 ),
inference(rat,[],[s2697,s2505,s681,s1331,s4596,s4814,s3117,s1709,s1732]) ).
cnf(s5818,plain,
( ~ spl2_208
| ~ spl2_202
| ~ spl2_95
| spl2_97
| ~ spl2_239
| ~ spl2_183
| spl2_155
| ~ spl2_98
| ~ spl2_218
| spl2_15
| spl2_20
| ~ spl2_13
| spl2_118
| spl2_109 ),
inference(rat,[],[s5550,s539,s4743,s1273,s5816,s4797,s955,s1515,s1467,s1885]) ).
cnf(s5819,plain,
( ~ spl2_188
| spl2_286
| ~ spl2_267
| ~ spl2_9
| ~ spl2_221
| ~ spl2_95
| ~ spl2_239
| spl2_197
| spl2_155
| ~ spl2_98
| spl2_10
| spl2_118
| spl2_31
| spl2_109 ),
inference(rat,[],[s4755,s1235,s4350,s2545,s4914,s955,s2393,s4584,s4814,s694,s5035,s696,s5680]) ).
cnf(s5820,plain,
( ~ spl2_219
| spl2_156
| spl2_186
| ~ spl2_77
| spl2_29
| ~ spl2_271
| ~ spl2_119
| ~ spl2_102
| ~ spl2_202
| ~ spl2_95
| ~ spl2_183
| ~ spl2_306
| spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s4250,s831,s4572,s5217,s5075,s5267,s1714,s1240,s3477,s2673,s903,s681,s5362,s723,s721,s1703,s585,s4885,s1511,s2505,s3476,s4602,s4811,s2820,s1235,s4708,s1602,s1236,s4755,s4787,s955,s4380,s4492,s5816,s107,s5313,s4027,s112,s5795,s446,s319,s5809,s1885,s1421,s5793,s614,s4836,s1261,s3430,s4585,s657,s2237,s4274,s5794,s4899,s5114,s1120,s4833,s4063,s312,s15,s37,s4902,s5680]) ).
cnf(s5821,plain,
( spl2_132
| ~ spl2_239
| ~ spl2_183
| ~ spl2_306
| spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s4755,s1235,s4350,s2171,s4914,s681,s2393,s4814,s5819,s694,s696,s539,s5820,s4808,s2575,s1360,s4836,s745,s4743,s52,s1273,s5482,s4847,s657,s4833,s4497,s4007,s2237,s4063,s4796,s123,s152,s4807,s5818,s4575,s679,s5817,s2973,s3891,s111,s4805,s4014,s5313,s4027,s112,s5795,s312,s4274,s319,s4881,s5809,s15,s37,s4902,s1885,s1421,s5793,s5794,s4899,s5114,s1120,s614,s5680]) ).
cnf(s5822,plain,
( ~ spl2_132
| ~ spl2_183
| spl2_15
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s5706,s152,s861,s860,s5681]) ).
cnf(s5823,plain,
( ~ spl2_306
| ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4279,s1236,s1703,s2107,s4937,s4829,s4787,s1331,s1552,s2697,s4883,s2505,s681,s4596,s4814,s4758,s4940,s696,s1235,s539,s4833,s2545,s5816,s954,s955,s4575,s1602,s679,s4811,s5817,s449,s3891,s5821,s4805,s4014,s5822,s1238,s5815,s4881,s319,s5809,s941,s5313,s4750,s1885,s1421,s5793,s5794,s4899,s5114,s15,s4027,s37,s112,s5795,s4902,s312,s5807,s5681,s5680]) ).
cnf(s5824,plain,
( ~ spl2_102
| ~ spl2_97
| ~ spl2_153
| spl2_159
| ~ spl2_287
| spl2_393
| spl2_95
| spl2_286
| ~ spl2_239
| ~ spl2_149
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s1165,s5089,s3117,s586,s679,s4492,s4787,s539,s4663,s5035,s385,s4743,s4644,s4063,s1280,s5313,s5793,s5794,s4899,s5114,s1421,s15,s4027,s37,s112,s5795,s4902,s312,s5680]) ).
cnf(s5825,plain,
( ~ spl2_192
| spl2_306
| spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s5806,s5802,s152,s5824,s886,s1227,s3221,s4585,s4215,s4584,s971,s955,s5811,s5107,s1768,s3247,s4051,s5313,s1885,s1421,s15,s4027,s37,s112,s5795,s312,s947,s2322,s5793,s5794,s4899,s5114,s449,s4402,s4902,s5681,s5680]) ).
cnf(s5826,plain,
( ~ spl2_182
| ~ spl2_188 ),
inference(rat,[],[s4940,s5681]) ).
cnf(s5827,plain,
( spl2_9
| spl2_4
| spl2_29 ),
inference(rat,[],[s4900,s5680]) ).
cnf(s5828,plain,
( spl2_32
| spl2_31 ),
inference(rat,[],[s4899,s5680]) ).
cnf(s5829,plain,
( spl2_179
| spl2_198
| ~ spl2_188 ),
inference(rat,[],[s4896,s5681]) ).
cnf(s5832,plain,
( ~ spl2_106
| spl2_116
| spl2_95 ),
inference(rat,[],[s4661,s5681]) ).
cnf(s5836,plain,
( spl2_154
| spl2_153
| ~ spl2_157 ),
inference(rat,[],[s4406,s5681]) ).
cnf(s5846,plain,
( spl2_25
| spl2_27
| ~ spl2_15 ),
inference(rat,[],[s3882,s5681]) ).
cnf(s5853,plain,
( ~ spl2_421
| ~ spl2_31 ),
inference(rat,[],[s3597,s5681]) ).
cnf(s5857,plain,
( spl2_153
| ~ spl2_422 ),
inference(rat,[],[s3430,s5680]) ).
cnf(s5877,plain,
( spl2_179
| ~ spl2_428 ),
inference(rat,[],[s2357,s5680]) ).
cnf(s5881,plain,
( ~ spl2_46
| ~ spl2_349
| spl2_362 ),
inference(rat,[],[s2208,s5681]) ).
cnf(s5883,plain,
( ~ spl2_360
| ~ spl2_349 ),
inference(rat,[],[s1941,s5681]) ).
cnf(s5887,plain,
( ~ spl2_157
| ~ spl2_245 ),
inference(rat,[],[s1602,s5680]) ).
cnf(s5900,plain,
( ~ spl2_268
| ~ spl2_157 ),
inference(rat,[],[s971,s5681]) ).
cnf(s5901,plain,
( ~ spl2_132
| ~ spl2_106 ),
inference(rat,[],[s860,s5681]) ).
cnf(s5906,plain,
( ~ spl2_188
| ~ spl2_199 ),
inference(rat,[],[s696,s5680]) ).
cnf(s5908,plain,
( spl2_8
| ~ spl2_180
| ~ spl2_32 ),
inference(rat,[],[s576,s5680]) ).
cnf(s5909,plain,
( ~ spl2_157
| ~ spl2_245 ),
inference(rat,[],[s522,s5680]) ).
cnf(s5913,plain,
( ~ spl2_117
| ~ spl2_106 ),
inference(rat,[],[s321,s5680]) ).
cnf(s5915,plain,
( spl2_8
| ~ spl2_118
| ~ spl2_32 ),
inference(rat,[],[s135,s5680]) ).
cnf(s5916,plain,
( ~ spl2_15
| ~ spl2_21 ),
inference(rat,[],[s67,s5681]) ).
cnf(s5917,plain,
( ~ spl2_10
| spl2_29 ),
inference(rat,[],[s51,s5680]) ).
cnf(s5919,plain,
( ~ spl2_30
| ~ spl2_15 ),
inference(rat,[],[s37,s5680]) ).
cnf(s5921,plain,
( spl2_4
| ~ spl2_31 ),
inference(rat,[],[s23,s5681]) ).
cnf(s5925,plain,
( ~ spl2_139
| spl2_123
| ~ spl2_218
| spl2_109
| spl2_118
| spl2_197
| ~ spl2_27 ),
inference(rat,[],[s4941,s5681]) ).
cnf(s5939,plain,
( ~ spl2_360
| ~ spl2_42
| spl2_20 ),
inference(rat,[],[s5038,s5681]) ).
cnf(s5972,plain,
( ~ spl2_188
| ~ spl2_4
| ~ spl2_133
| ~ spl2_13
| ~ spl2_114
| spl2_10
| ~ spl2_12
| spl2_118
| ~ spl2_106
| spl2_39 ),
inference(rat,[],[s5299,s5681]) ).
cnf(s6007,plain,
( ~ spl2_188
| ~ spl2_97
| spl2_39
| ~ spl2_106
| ~ spl2_133
| ~ spl2_98
| ~ spl2_12
| ~ spl2_13
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s5832,s5550,s385,s4743,s1273,s5972,s4807,s1885,s1421]) ).
cnf(s6008,plain,
( spl2_322
| ~ spl2_177
| ~ spl2_368
| ~ spl2_181
| ~ spl2_156
| ~ spl2_77
| ~ spl2_386
| spl2_103
| spl2_278
| spl2_196
| ~ spl2_211
| ~ spl2_219
| ~ spl2_232
| spl2_42
| ~ spl2_217
| ~ spl2_133
| spl2_139
| ~ spl2_98
| ~ spl2_18
| ~ spl2_13
| spl2_118
| ~ spl2_32
| spl2_109 ),
inference(rat,[],[s1148,s4786,s2553,s1640,s1237,s2784,s3429,s4273,s2663,s2499,s5381,s831,s2903,s4250,s4572,s5039,s1024]) ).
cnf(s6009,plain,
( ~ spl2_106
| ~ spl2_133
| spl2_306
| spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s1723,s4572,s3995,s4250,s5381,s2663,s3429,s1237,s2553,s1148,s4786,s1149,s6008,s4788,s1016,s821,s4936,s5723,s513,s4787,s745,s1261,s4350,s4655,s4794,s953,s4677,s5832,s657,s4743,s3242,s4759,s4914,s4645,s4382,s3537,s1933,s1235,s2393,s1236,s2171,s4062,s902,s5089,s3117,s586,s679,s5816,s539,s6007,s681,s4410,s645,s5108,s2617,s4805,s4130,s954,s955,s1515,s1467,s4807,s107,s1885,s1421,s5793,s15,s4027,s112,s1528,s5795,s947,s449,s4402,s1120,s5822,s1238,s5825,s5313,s5919,s4902,s5794,s5828,s5114,s312]) ).
cnf(s6010,plain,
( ~ spl2_133
| spl2_306
| spl2_155
| ~ spl2_12
| ~ spl2_22
| spl2_31
| spl2_112 ),
inference(rat,[],[s586,s679,s5089,s4575,s2171,s2545,s1235,s681,s4759,s4410,s645,s955,s5108,s2218,s4805,s4847,s657,s4130,s2237,s4063,s152,s6009,s107,s1421,s15,s4274,s947,s449,s4402,s1120,s5822,s1238,s5825,s5313,s5919,s4902,s5794,s5828,s5114,s312]) ).
cnf(s6011,plain,
( ~ spl2_12
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s5818,s679,s4807,s5817,s152,s3891,s2237,s111,s4805,s4104,s4014,s4881,s319,s6010,s5822,s1238,s5825,s449,s4402,s947,s5823,s4274,s5807,s112,s5795,s4027,s5919,s1885,s4902,s1421,s312,s5313,s4750,s5793,s5794,s5828,s5114]) ).
cnf(s6012,plain,
( ~ spl2_107
| ~ spl2_306
| ~ spl2_133
| ~ spl2_155
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s5009,s111,s1420,s4549,s15,s745,s4130,s4793,s4063,s5741,s152,s449,s567,s5913,s5743,s387,s5657,s4671,s312,s107,s5313,s5793,s5794,s5828,s5114,s4884,s1346,s17,s6011]) ).
cnf(s6013,plain,
( ~ spl2_306
| ~ spl2_133
| ~ spl2_155
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s898,s4793,s4480,s2851,s938,s112,s6012,s312,s1346,s17,s6011]) ).
cnf(s6014,plain,
( ~ spl2_188
| ~ spl2_48
| ~ spl2_9
| ~ spl2_24
| spl2_31 ),
inference(rat,[],[s2393,s682,s4814,s694,s2248,s5906]) ).
cnf(s6016,plain,
( spl2_377
| spl2_360
| ~ spl2_226
| spl2_286
| ~ spl2_392
| ~ spl2_239
| ~ spl2_117
| ~ spl2_107
| spl2_180
| spl2_186
| ~ spl2_251
| spl2_118 ),
inference(rat,[],[s4786,s788,s1757,s2336,s3314,s831,s4878,s833,s2663]) ).
cnf(s6017,plain,
( spl2_174
| ~ spl2_392
| ~ spl2_202
| ~ spl2_116
| ~ spl2_103
| ~ spl2_38
| ~ spl2_267
| ~ spl2_15
| ~ spl2_436
| ~ spl2_239
| ~ spl2_117
| ~ spl2_107
| spl2_197
| spl2_180
| spl2_186
| spl2_10
| spl2_20
| ~ spl2_133
| ~ spl2_251
| ~ spl2_17
| ~ spl2_22
| spl2_118
| spl2_112 ),
inference(rat,[],[s2634,s4619,s4741,s6016,s5267,s1714,s1240,s2672,s5362,s5280,s1511,s674,s4028,s4490,s2393,s1331,s756,s704,s3312,s3477,s2171,s681,s1235,s500,s691,s4755,s4787,s312,s107,s5313,s173,s152,s5913,s1649]) ).
cnf(s6018,plain,
( spl2_211
| ~ spl2_219
| ~ spl2_116
| ~ spl2_103
| ~ spl2_38
| ~ spl2_267
| ~ spl2_15
| ~ spl2_436
| ~ spl2_239
| ~ spl2_117
| ~ spl2_107
| spl2_197
| spl2_180
| spl2_186
| spl2_268
| spl2_10
| spl2_306
| ~ spl2_133
| spl2_159
| ~ spl2_251
| spl2_12
| ~ spl2_22
| spl2_118
| spl2_112 ),
inference(rat,[],[s4759,s645,s1235,s3209,s3478,s4479,s765,s6017,s3449,s679,s312,s5313,s17,s1422,s947,s152,s5913]) ).
cnf(s6019,plain,
( ~ spl2_107
| ~ spl2_133
| ~ spl2_155
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s5540,s6018,s539,s6014,s3997,s111,s49,s4549,s1285,s745,s1279,s4743,s4644,s731,s3588,s4593,s4836,s15,s1238,s4130,s5008,s4063,s1227,s152,s3226,s449,s886,s5913,s5743,s387,s4671,s312,s5313,s687,s1592,s3011,s4750,s955,s3338,s4884,s1346,s1885,s5793,s5794,s5828,s5114,s658,s1422,s1361,s565,s619,s655,s947,s6013,s26,s5,s17,s6011,s638]) ).
cnf(s6020,plain,
( ~ spl2_15
| ~ spl2_77
| ~ spl2_98
| spl2_306
| spl2_123
| ~ spl2_155
| spl2_21
| ~ spl2_13
| spl2_109 ),
inference(rat,[],[s4743,s1279,s5738,s1422,s947]) ).
cnf(s6021,plain,
( ~ spl2_133
| ~ spl2_155
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4063,s152,s4130,s322,s385,s4743,s3080,s15,s6020,s3997,s1238,s4193,s4793,s4417,s4416,s2851,s938,s112,s6019,s1422,s947,s6013,s1346,s312,s5313,s5793,s5794,s5828,s5114,s17,s6011,s687]) ).
cnf(s6022,plain,
( spl2_268
| ~ spl2_183
| spl2_180
| spl2_337
| spl2_147
| ~ spl2_107
| ~ spl2_120
| ~ spl2_251
| ~ spl2_155
| ~ spl2_17
| spl2_118
| spl2_31
| ~ spl2_111 ),
inference(rat,[],[s1665,s4098,s743,s3588,s5741,s4836,s2730,s449]) ).
cnf(s6023,plain,
( ~ spl2_107
| ~ spl2_155
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4833,s15,s947,s1420,s1422,s658,s6022,s1238,s5008,s4063,s1227,s152,s886,s567,s5913,s1688,s5743,s387,s5657,s4671,s312,s107,s5313,s17,s6011,s4884,s3011,s4750,s5793,s5794,s5828,s5114,s319,s6021]) ).
cnf(s6024,plain,
( spl2_211
| spl2_278
| spl2_274
| ~ spl2_25
| ~ spl2_154
| spl2_159
| spl2_31
| spl2_109 ),
inference(rat,[],[s539,s3478,s5906,s1235,s4814,s969,s681,s2393,s3218,s4916,s679]) ).
cnf(s6025,plain,
( ~ spl2_211
| ~ spl2_155
| spl2_21
| ~ spl2_13
| spl2_109 ),
inference(rat,[],[s3198,s5540,s4226,s1592,s3011,s4750,s955,s3338,s4884]) ).
cnf(s6026,plain,
( ~ spl2_174
| ~ spl2_25
| ~ spl2_154
| ~ spl2_102
| spl2_211
| ~ spl2_98
| spl2_159
| spl2_31
| spl2_109 ),
inference(rat,[],[s6024,s765,s1552]) ).
cnf(s6027,plain,
( ~ spl2_156
| ~ spl2_102
| ~ spl2_15
| ~ spl2_194
| spl2_211
| ~ spl2_98
| spl2_232
| ~ spl2_120
| ~ spl2_247
| ~ spl2_217
| spl2_159
| ~ spl2_155
| ~ spl2_17
| spl2_118
| spl2_31
| spl2_109 ),
inference(rat,[],[s3537,s1236,s6024,s4648,s756,s3316,s4936,s4937,s4805,s3960,s4026,s3469,s4787,s6026,s5846,s4808,s898,s3903,s658,s1420]) ).
cnf(s6028,plain,
( ~ spl2_15
| ~ spl2_194
| spl2_50
| spl2_107
| spl2_232
| ~ spl2_120
| ~ spl2_155
| spl2_35
| ~ spl2_17
| spl2_21
| ~ spl2_13
| spl2_118
| spl2_31
| spl2_109 ),
inference(rat,[],[s4618,s4597,s4788,s5421,s3339,s2774,s2943,s4762,s2663,s1235,s4916,s2880,s2519,s1552,s846,s4787,s2499,s4026,s850,s4805,s826,s827,s745,s3316,s4923,s1750,s53,s1279,s1238,s4743,s2730,s4644,s4480,s513,s6027,s1339,s572,s2065,s1598,s2431,s636,s4593,s658,s1885,s1420,s687,s3011,s955,s4531,s3338,s4884,s4750,s112,s6025,s3903]) ).
cnf(s6029,plain,
( ~ spl2_306
| spl2_10
| ~ spl2_18
| ~ spl2_194
| spl2_232
| spl2_133
| spl2_157
| spl2_159
| spl2_112 ),
inference(rat,[],[s2271,s1235,s539,s645,s4758,s4827,s4632,s4596,s4805,s4465,s5901,s152,s4063,s941,s4833,s4830,s312,s5313,s955]) ).
cnf(s6030,plain,
( ~ spl2_106
| spl2_286
| spl2_10
| ~ spl2_9
| ~ spl2_18
| ~ spl2_194
| ~ spl2_202
| spl2_133
| spl2_159
| ~ spl2_251
| ~ spl2_17
| spl2_31
| spl2_109 ),
inference(rat,[],[s681,s4814,s4932,s920,s893,s449,s4746,s1235,s3478,s756,s899,s539,s645,s4827,s4632,s4596,s4465,s322,s5901]) ).
cnf(s6031,plain,
( ~ spl2_192
| ~ spl2_149
| ~ spl2_218
| ~ spl2_18
| ~ spl2_194
| ~ spl2_202
| spl2_50
| ~ spl2_98
| spl2_133
| ~ spl2_247
| spl2_159
| ~ spl2_251
| ~ spl2_17
| ~ spl2_13
| spl2_118
| spl2_31
| spl2_109 ),
inference(rat,[],[s4382,s1236,s4829,s902,s2317,s4484,s694,s5826,s5770,s4787,s4026,s4805,s2469,s3316,s152,s6030,s4051,s955,s3338,s4881,s3903,s5827,s5917,s52,s3080]) ).
cnf(s6032,plain,
( ~ spl2_155
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s2730,s658,s1238,s1422,s6031,s947,s6029,s5917,s52,s3080,s4027,s15,s6028,s2830,s3449,s679,s6025,s938,s112,s6023,s4881,s319,s6021,s4531,s3338,s3011,s4884,s312,s5313,s4750,s5793,s5794,s5828,s5114,s26,s5,s17,s6011,s638]) ).
cnf(s6033,plain,
( ~ spl2_306
| spl2_154
| ~ spl2_133
| spl2_50
| spl2_139
| spl2_155
| ~ spl2_17
| spl2_118
| ~ spl2_111 ),
inference(rat,[],[s657,s4808,s953,s4480,s1038]) ).
cnf(s6034,plain,
( spl2_268
| ~ spl2_225
| spl2_211
| spl2_306
| ~ spl2_133
| ~ spl2_183
| spl2_197
| ~ spl2_114 ),
inference(rat,[],[s3209,s4479,s645,s4755,s4759,s4836]) ).
cnf(s6035,plain,
( spl2_211
| ~ spl2_133
| ~ spl2_239
| spl2_197
| ~ spl2_117
| spl2_139
| spl2_155
| spl2_12
| spl2_118
| spl2_112 ),
inference(rat,[],[s691,s4479,s681,s3208,s2659,s1236,s3154,s2819,s657,s6034,s1897,s1235,s2335,s3449,s679,s4385,s6033,s493,s4416,s1238,s3931,s3446,s312,s5313,s2397,s17,s107]) ).
cnf(s6036,plain,
( ~ spl2_362
| ~ spl2_368
| ~ spl2_116
| ~ spl2_235
| spl2_50
| spl2_186
| ~ spl2_17 ),
inference(rat,[],[s843,s2795,s4890]) ).
cnf(s6037,plain,
( ~ spl2_133
| ~ spl2_15
| ~ spl2_107
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s1148,s2652,s4786,s2499,s1149,s2966,s1024,s5039,s1723,s6036,s4788,s1016,s827,s53,s4382,s3537,s5827,s52,s1236,s4645,s4648,s1690,s4936,s4663,s4787,s2239,s2040,s539,s3198,s3117,s4226,s586,s1446,s6035,s955,s731,s2443,s947,s6033,s493,s4417,s4416,s429,s107,s4750,s17,s173,s567,s254,s1360,s5657,s886,s387,s152,s5913,s4671,s2397,s1238,s3931,s449,s5743,s3446,s6011,s312,s6032,s5313,s4593,s1885,s1420,s5793,s5794,s5828,s5114]) ).
cnf(s6038,plain,
( ~ spl2_306
| ~ spl2_183
| ~ spl2_239
| spl2_197
| ~ spl2_117
| ~ spl2_107
| ~ spl2_427
| spl2_155
| ~ spl2_17
| spl2_21
| spl2_118
| spl2_112 ),
inference(rat,[],[s681,s2659,s691,s679,s4479,s772,s3208,s4386,s1236,s2819,s5811,s953,s3154,s657,s4836,s4793,s1649,s3798,s4480,s663,s312,s107,s5313,s173,s2397]) ).
cnf(s6039,plain,
( spl2_211
| spl2_328
| ~ spl2_230
| spl2_197
| ~ spl2_117
| ~ spl2_427
| ~ spl2_114 ),
inference(rat,[],[s681,s691,s2659,s4479,s679]) ).
cnf(s6040,plain,
( ~ spl2_120
| ~ spl2_107
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4026,s4596,s4787,s2505,s2239,s3581,s2040,s539,s1331,s3198,s1709,s3117,s4226,s6039,s3208,s1236,s2819,s5811,s953,s3154,s657,s2730,s107,s4750,s5793,s173,s886,s4754,s387,s152,s5913,s6038,s1238,s3931,s3446,s312,s449,s5743,s5313,s254,s5657,s4671,s4385,s6032,s17,s6011,s5794,s5828,s5114]) ).
cnf(s6041,plain,
( ~ spl2_107
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s15,s6037,s4130,s319,s6040,s4063,s152,s5913,s387,s4671,s312,s5828]) ).
cnf(s6042,plain,
( ~ spl2_15
| ~ spl2_194
| ~ spl2_133
| ~ spl2_98
| ~ spl2_17
| ~ spl2_13
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s4196,s5474,s681,s4484,s539,s2764,s718,s5170,s4596,s5832,s4807,s5901,s943,s152,s2827,s4743,s1279,s1420,s4416,s4417,s938,s5917,s1170,s2851,s1346]) ).
cnf(s6043,plain,
( spl2_211
| ~ spl2_133
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4819,s5623,s4481,s1706,s4787,s1238,s4663,s3997,s385,s4130,s4063,s152,s322,s3960,s5827,s5925,s3080,s4027,s15,s6042,s3903,s2830,s3449,s679,s5313,s5793,s688,s2826,s4385,s6032,s5794,s5828,s5114,s4416,s4417,s938,s1170,s621,s1102,s4793,s2851,s1346,s312,s112,s6041,s26,s5,s17,s6011,s638]) ).
cnf(s6044,plain,
( ~ spl2_133
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4063,s4130,s152,s15,s322,s1279,s5827,s385,s4645,s4663,s4196,s4787,s681,s539,s4481,s2393,s4321,s3198,s772,s3117,s4226,s1446,s6043,s4793,s1170,s2851,s4417,s4416,s1346,s4750,s5793,s5794,s5828,s5114,s17,s6011,s938,s112,s6041,s312]) ).
cnf(s6045,plain,
( ~ spl2_192
| ~ spl2_156
| spl2_242
| spl2_278
| spl2_274
| ~ spl2_174
| spl2_211
| ~ spl2_15
| spl2_50
| spl2_155
| ~ spl2_17
| ~ spl2_13
| spl2_31
| spl2_109 ),
inference(rat,[],[s3240,s539,s4743,s2248,s1279,s681,s4484,s745,s1710,s969,s6024,s4709,s4808,s1235,s970,s3476,s4928,s3930,s1706,s5828,s4593,s1885,s1420,s679,s1169]) ).
cnf(s6046,plain,
( ~ spl2_306
| ~ spl2_174
| spl2_211
| ~ spl2_15
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s745,s1279,s6024,s2575,s5827,s1273,s4808,s4797,s4016,s657,s3997,s861,s1120,s1238,s6045,s1169,s665,s4480,s4664,s5313,s17,s938,s688,s2826,s312,s4385,s6032,s6011,s1339,s2431,s1552,s112,s6041,s765,s1598,s4593,s1885,s1420,s5793,s5794,s5828,s5114,s319,s6044]) ).
cnf(s6047,plain,
( ~ spl2_174
| spl2_211
| ~ spl2_15
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4890,s2489,s3651,s4562,s4786,s3475,s2634,s3696,s449,s5361,s2469,s3931,s2663,s1238,s2880,s861,s955,s4104,s2443,s947,s6046,s5362,s4479,s5313,s4750,s17,s3446,s938,s688,s2826,s4385,s6032,s1598,s4593,s1885,s1420,s5793,s5794,s5828,s5114,s319,s6044,s3903,s2830,s3449,s679,s6011,s312,s112,s6041]) ).
cnf(s6048,plain,
( spl2_211
| ~ spl2_15
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4279,s1236,s1703,s2820,s947,s4937,s4847,s4104,s3960,s4026,s3469,s4787,s6047,s3903,s2830,s3449,s679,s5313,s2826,s112,s6041,s312,s4385,s6032,s6011,s5794,s5828,s5114,s319,s6044]) ).
cnf(s6049,plain,
( ~ spl2_174
| ~ spl2_15
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s1240,s2521,s1672,s2634,s5424,s4808,s745,s4480,s1279,s4759,s5827,s52,s645,s4645,s4484,s4763,s1711,s4602,s2819,s1235,s1236,s2519,s2990,s4923,s955,s5887,s4811,s449,s3931,s1238,s861,s4016,s886,s2239,s4467,s765,s5313,s17,s3446,s938,s688,s2826,s112,s312,s4385,s6032,s6011,s1598,s1339,s2431,s4593,s1885,s319,s6044,s6041,s1446,s3117,s586,s1420,s539,s2040,s3198,s4226,s4750,s5793,s5794,s5828,s5114,s6048]) ).
cnf(s6050,plain,
( ~ spl2_15
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s3581,s2505,s2441,s4596,s4016,s4026,s4787,s6049,s539,s1331,s3198,s1709,s3117,s4226,s1446,s6048,s4593,s1885,s1420,s4750,s5793,s5794,s5828,s5114,s319,s6044]) ).
cnf(s6051,plain,
( ~ spl2_174
| ~ spl2_202
| spl2_10
| ~ spl2_9
| ~ spl2_218
| spl2_133
| spl2_322
| ~ spl2_98
| ~ spl2_427
| spl2_155
| spl2_118
| spl2_31
| spl2_109 ),
inference(rat,[],[s955,s1768,s4584,s1238,s1853,s3997,s4747,s1236,s4350,s4932,s2659,s4914,s681,s2393,s4814,s694,s5906,s539,s4492,s1552]) ).
cnf(s6052,plain,
( spl2_211
| spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s4279,s1236,s1703,s2820,s947,s4937,s4847,s4104,s3960,s4026,s3469,s4787,s6051,s3903,s2830,s3449,s679,s5313,s688,s2826,s4385,s6032,s5794,s5828,s5114,s319,s6044,s4027,s5827,s5917,s52,s3080,s15,s6050,s17,s6011,s938,s112,s6041,s312]) ).
cnf(s6053,plain,
( ~ spl2_42
| spl2_10
| ~ spl2_237
| spl2_155
| spl2_118
| ~ spl2_114 ),
inference(rat,[],[s4584,s1551,s955,s152,s954,s4063]) ).
cnf(s6054,plain,
( ~ spl2_306
| spl2_42
| ~ spl2_18
| ~ spl2_237
| spl2_50
| ~ spl2_17
| ~ spl2_32
| spl2_112 ),
inference(rat,[],[s4808,s657,s2575,s5791,s4833,s4480,s4664,s312,s5313,s4889]) ).
cnf(s6055,plain,
( spl2_21
| spl2_31
| spl2_112 ),
inference(rat,[],[s955,s5887,s4382,s4811,s449,s2469,s3931,s1238,s152,s1236,s861,s5901,s902,s4104,s947,s6054,s586,s3797,s645,s4482,s6053,s3117,s6052,s5917,s52,s3080,s15,s6050,s6044,s688,s2826,s938,s112,s6041,s4385,s6032,s3446,s17,s6011,s4750,s312,s5313,s5793,s5794,s5828,s5114]) ).
cnf(s6056,plain,
( ~ spl2_107
| ~ spl2_18
| ~ spl2_337
| spl2_31
| ~ spl2_114 ),
inference(rat,[],[s4063,s152,s4130,s5913,s1688,s387,s4671,s5828]) ).
cnf(s6057,plain,
( ~ spl2_155
| spl2_31
| spl2_112 ),
inference(rat,[],[s1238,s3997,s3930,s385,s4833,s4130,s4063,s152,s322,s4417,s4416,s319,s308,s5791,s5827,s1169,s4664,s4480,s3206,s687,s5313,s5828,s3080,s17,s5790,s938,s112,s6056,s15,s5916,s934,s6055,s312]) ).
cnf(s6058,plain,
( spl2_31
| spl2_112 ),
inference(rat,[],[s947,s6054,s3337,s6053,s688,s2826,s5917,s4385,s52,s6057,s3080,s17,s938,s5790,s112,s6056,s15,s5916,s934,s6055,s5794,s5828,s312,s5114]) ).
cnf(s6059,plain,
( spl2_13
| ~ spl2_288
| spl2_211
| spl2_278
| ~ spl2_388
| spl2_139
| spl2_42
| ~ spl2_15 ),
inference(rat,[],[s4593,s1112,s1451,s3567,s2188]) ).
cnf(s6060,plain,
( ~ spl2_231
| ~ spl2_219
| ~ spl2_358
| spl2_343
| spl2_376
| ~ spl2_271
| spl2_132
| spl2_278
| ~ spl2_179
| spl2_109 ),
inference(rat,[],[s4919,s2903,s2515,s2521,s4805,s1240,s3698,s2672,s2505,s4602,s2820]) ).
cnf(s6061,plain,
( ~ spl2_174
| ~ spl2_271
| spl2_132
| spl2_211
| ~ spl2_133
| spl2_139
| ~ spl2_15
| ~ spl2_251
| ~ spl2_155
| spl2_112 ),
inference(rat,[],[s2505,s3698,s3960,s4805,s4028,s5538,s4382,s1236,s6060,s539,s5327,s955,s1885,s3338,s6059,s1769,s4752,s645,s1253,s3209,s5362,s4479,s312,s5313,s1556,s513,s2014,s687,s2236,s2109,s2393,s2012,s5428,s3566,s1315,s28,s1420,s111,s1294,s5921,s6058]) ).
cnf(s6062,plain,
( ~ spl2_10
| spl2_139
| spl2_20
| spl2_112 ),
inference(rat,[],[s4288,s1885,s1112,s1616,s111,s1294,s5921,s6058]) ).
cnf(s6063,plain,
( spl2_97
| ~ spl2_225
| ~ spl2_219
| ~ spl2_217
| spl2_132
| spl2_278
| spl2_250
| spl2_109 ),
inference(rat,[],[s4596,s2505,s4758,s3698]) ).
cnf(s6064,plain,
( spl2_185
| ~ spl2_232
| ~ spl2_358
| spl2_376
| ~ spl2_219
| ~ spl2_217
| ~ spl2_271
| spl2_132
| spl2_278
| ~ spl2_179
| ~ spl2_15
| spl2_250
| ~ spl2_155
| spl2_109 ),
inference(rat,[],[s1236,s4382,s6060,s5538,s4752]) ).
cnf(s6065,plain,
( spl2_102
| ~ spl2_306
| ~ spl2_202
| ~ spl2_179
| ~ spl2_133
| spl2_10
| ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s1236,s2820,s2657,s1511,s4468,s3209,s6064,s4805,s6063,s1769,s1253,s1605,s1235,s1339,s3478,s4644,s3011,s4750,s4370,s539,s955,s814,s5170,s4584,s4847,s603,s4807,s1551,s5901,s1598,s152,s312,s107,s5313,s1556,s636,s4593,s2109,s5921,s4507,s4879,s28,s1420,s513,s2014,s687,s6058]) ).
cnf(s6067,plain,
( spl2_373
| ~ spl2_212
| spl2_180
| ~ spl2_271
| ~ spl2_217
| spl2_250
| ~ spl2_251
| spl2_118
| ~ spl2_111 ),
inference(rat,[],[s1542,s788,s3649,s4786,s1716,s3475]) ).
cnf(s6068,plain,
( ~ spl2_227
| spl2_97
| ~ spl2_329
| ~ spl2_326
| spl2_369 ),
inference(rat,[],[s849,s821,s2499,s4571,s4331]) ).
cnf(s6069,plain,
( ~ spl2_306
| spl2_211
| ~ spl2_133
| spl2_139
| ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s4788,s1024,s3197,s3160,s1723,s2771,s4620,s1240,s6068,s2634,s6067,s886,s4805,s3858,s4382,s4596,s1236,s1511,s4648,s3209,s4936,s2248,s4827,s5826,s3734,s539,s1769,s3478,s1253,s1235,s1605,s4755,s4787,s567,s815,s6061,s5482,s4847,s4836,s861,s614,s1339,s1238,s4644,s955,s5546,s3011,s3338,s4750,s1990,s6065,s4507,s4879,s312,s107,s5114,s5313,s4884,s1556,s658,s1261,s513,s2014,s687,s1616,s4593,s6062,s2109,s2393,s2012,s5428,s3566,s1315,s28,s1420,s111,s1294,s5921,s6058,s679]) ).
cnf(s6070,plain,
( ~ spl2_106
| spl2_97
| ~ spl2_217
| spl2_159
| spl2_278
| ~ spl2_133
| spl2_10
| ~ spl2_15
| spl2_250
| spl2_118
| spl2_112 ),
inference(rat,[],[s1235,s6063,s3478,s539,s5170,s4807,s5901,s312,s5313]) ).
cnf(s6071,plain,
( spl2_97
| spl2_211
| ~ spl2_133
| spl2_139
| ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s4788,s1024,s3197,s3160,s1723,s2771,s4620,s1240,s6068,s4596,s1511,s3734,s3209,s1769,s2248,s4827,s2634,s1253,s539,s6067,s1605,s3478,s567,s815,s1235,s5482,s4847,s6034,s861,s1238,s5010,s152,s6070,s4750,s1433,s4288,s886,s3550,s312,s107,s5114,s5313,s4884,s1556,s1616,s2109,s2393,s2012,s5428,s3566,s1315,s28,s111,s1294,s679,s620,s947,s955,s2443,s4593,s6062,s1339,s4644,s4374,s6069,s658,s1420,s513,s2014,s687,s5921,s6058]) ).
cnf(s6073,plain,
( spl2_373
| ~ spl2_285
| ~ spl2_329
| ~ spl2_358
| ~ spl2_219
| spl2_159
| spl2_278
| spl2_268
| spl2_118
| spl2_109 ),
inference(rat,[],[s2499,s2185,s4331,s4788,s1240,s5800,s2521]) ).
cnf(s6074,plain,
( spl2_102
| ~ spl2_97
| spl2_306
| ~ spl2_202
| spl2_278
| ~ spl2_133
| spl2_10
| spl2_268
| ~ spl2_15
| spl2_322
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s1024,s3160,s4788,s2538,s2185,s4919,s2499,s2903,s6073,s4507,s4847,s2820,s1236,s4382,s4596,s5103,s1511,s3209,s645,s4759,s1769,s1235,s4750,s1253,s3478,s4370,s1605,s539,s814,s5170,s4805,s603,s4807,s5901,s1598,s152,s312,s107,s5313,s1556,s28,s1420,s636,s955,s2443,s4593,s1339,s4644,s4374,s513,s2014,s5921,s6058]) ).
cnf(s6075,plain,
( spl2_211
| ~ spl2_133
| spl2_139
| ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s1236,s4382,s4648,s5103,s4936,s3209,s4787,s2248,s5327,s5826,s539,s3478,s1235,s4805,s6034,s861,s1238,s4750,s4592,s1990,s6074,s6071,s955,s620,s2443,s4374,s947,s6069,s679,s312,s107,s5313,s1556,s513,s2014,s687,s658,s1616,s4593,s6062,s2109,s2393,s2012,s5428,s3566,s1315,s28,s1420,s111,s1294,s5921,s6058]) ).
cnf(s6076,plain,
( ~ spl2_306
| ~ spl2_358
| ~ spl2_232
| spl2_376
| ~ spl2_106
| ~ spl2_230
| spl2_188
| spl2_278
| ~ spl2_179
| ~ spl2_133
| spl2_10
| ~ spl2_25
| ~ spl2_15
| spl2_250
| ~ spl2_153
| ~ spl2_155
| spl2_109 ),
inference(rat,[],[s4468,s6064,s2657,s955,s4584,s4847,s1551,s4507,s4879,s539,s5901]) ).
cnf(s6077,plain,
( ~ spl2_133
| spl2_139
| ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s2196,s4915,s5538,s4242,s4382,s4377,s955,s1592,s2443,s4374,s6076,s1769,s4805,s1253,s5901,s1605,s539,s152,s810,s1339,s1236,s4827,s1990,s3567,s1667,s3248,s766,s1859,s6025,s6075,s2109,s2393,s2012,s5428,s3566,s1315,s312,s5313,s4884,s1556,s513,s2014,s687,s658,s2236,s28,s1616,s111,s1294,s5921,s6058,s636,s4593,s6062,s1420]) ).
cnf(s6078,plain,
( ~ spl2_382
| ~ spl2_188
| spl2_369
| spl2_345
| spl2_97
| ~ spl2_13
| ~ spl2_24
| spl2_10
| spl2_21
| spl2_109 ),
inference(rat,[],[s5262,s821,s1723,s849,s2652]) ).
cnf(s6079,plain,
( ~ spl2_188
| spl2_369
| spl2_345
| ~ spl2_271
| spl2_97
| ~ spl2_306
| spl2_132
| ~ spl2_217
| ~ spl2_13
| spl2_133
| ~ spl2_24
| spl2_10
| spl2_118
| spl2_21
| spl2_109 ),
inference(rat,[],[s2524,s4142,s5262,s4786,s1723,s3649,s4102,s2499,s6078]) ).
cnf(s6080,plain,
( spl2_139
| ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s1235,s3478,s6063,s2109,s2082,s3457,s539,s6079,s3734,s1769,s2634,s1253,s6067,s1605,s567,s815,s5482,s4847,s4507,s4629,s2973,s886,s4016,s2730,s861,s1339,s1238,s4644,s955,s5546,s3011,s3338,s4750,s1990,s1598,s319,s6077,s4593,s6062,s1616,s1261,s111,s1294,s312,s107,s5114,s5313,s4884,s1556,s513,s2014,s687,s5921,s6058,s658,s1420]) ).
cnf(s6081,plain,
( ~ spl2_15
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s4750,s3011,s3248,s4644,s5513,s6080,s28,s1420,s5921,s513,s2014,s687,s6058]) ).
cnf(s6082,plain,
( spl2_97
| ~ spl2_133
| ~ spl2_18
| ~ spl2_31 ),
inference(rat,[],[s4797,s5639,s111,s28,s1294,s2236,s4947,s4130,s5921]) ).
cnf(s6083,plain,
( ~ spl2_373
| spl2_369
| ~ spl2_358
| spl2_20
| ~ spl2_321
| ~ spl2_179
| ~ spl2_326
| ~ spl2_188
| ~ spl2_232
| spl2_13
| spl2_109 ),
inference(rat,[],[s977,s4369,s3696,s821,s4570,s4571,s1240,s2515,s4919,s2263,s2903]) ).
cnf(s6084,plain,
( ~ spl2_188
| ~ spl2_106
| spl2_13
| spl2_10
| ~ spl2_133
| spl2_15
| ~ spl2_251
| ~ spl2_155
| spl2_118
| spl2_112 ),
inference(rat,[],[s821,s5883,s2370,s3651,s788,s4786,s4572,s3475,s6083,s3734,s1769,s516,s955,s1253,s4584,s1605,s572,s1551,s2062,s810,s3030,s3154,s1667,s3847,s2333,s1770,s2236,s48,s4497,s1660,s1236,s2328,s28,s1418,s4602,s4934,s3797,s4752,s645,s3663,s617,s4864,s4915,s2505,s2393,s4787,s4465,s2012,s3666,s4827,s5826,s1318,s5114,s398,s5313,s1556,s513,s2014,s687,s5921,s4027,s312,s4807,s4805,s5901,s6082,s15,s6058]) ).
cnf(s6085,plain,
( ~ spl2_292
| ~ spl2_230
| spl2_278
| spl2_42
| ~ spl2_25
| spl2_268
| ~ spl2_219
| ~ spl2_232
| ~ spl2_133
| ~ spl2_18
| ~ spl2_153
| spl2_109 ),
inference(rat,[],[s1235,s4759,s3478,s4833,s1458,s3154,s645,s2333,s2196]) ).
cnf(s6086,plain,
( ~ spl2_177
| spl2_369
| ~ spl2_157
| spl2_13
| spl2_10
| ~ spl2_155
| spl2_21 ),
inference(rat,[],[s4369,s977,s821,s4597,s4846,s4618,s2134]) ).
cnf(s6087,plain,
( spl2_20
| spl2_13
| spl2_139
| ~ spl2_133
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s1240,s2521,s4331,s2903,s2499,s2185,s4788,s6086,s3734,s1769,s1253,s4507,s1605,s4847,s812,s2201,s656,s955,s645,s4382,s4482,s3858,s4596,s4915,s6085,s1236,s766,s679,s4647,s2109,s2082,s3030,s3457,s1667,s3847,s1232,s1770,s2236,s4497,s1660,s28,s1418,s658,s398,s5313,s1556,s513,s2014,s687,s4027,s4807,s4805,s5901,s539,s6084,s152,s1990,s1616,s111,s1294,s5921,s312,s1112,s6082,s15,s6058,s6081,s4884]) ).
cnf(s6088,plain,
( spl2_13
| spl2_139
| ~ spl2_133
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s3108,s681,s756,s5440,s17,s645,s5639,s1421,s3797,s6087,s539,s6084,s4805,s5901,s152,s1990,s312,s5853,s4884,s1112,s6082,s15,s6081,s1616,s111,s1294,s5921,s6058]) ).
cnf(s6089,plain,
( spl2_139
| ~ spl2_133
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s4382,s1236,s4829,s902,s5826,s539,s2317,s4647,s5108,s2393,s4805,s2012,s5901,s947,s5428,s152,s2219,s3566,s2236,s4497,s5309,s28,s5639,s4644,s4506,s955,s679,s3011,s3338,s6025,s4750,s6088,s111,s1294,s107,s5313,s4884,s1556,s513,s2014,s687,s5921,s1315,s6082,s15,s6081,s6058]) ).
cnf(s6090,plain,
( ~ spl2_133
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s17,s1421,s1346,s28,s1756,s4493,s112,s1238,s173,s1120,s6089,s5313,s5921,s2014,s687,s6058,s4027,s6081,s312]) ).
cnf(s6091,plain,
( spl2_97
| spl2_139
| spl2_133
| spl2_15
| ~ spl2_155
| spl2_21
| spl2_112 ),
inference(rat,[],[s4104,s4507,s5901,s947,s4629,s152,s2219,s4506,s3011,s5309,s28,s3338,s4750,s5639,s4288,s4797,s4884,s513,s2014,s687,s15,s1616,s111,s1294,s5921,s6058]) ).
cnf(s6092,plain,
( ~ spl2_368
| spl2_369
| ~ spl2_358
| ~ spl2_382
| ~ spl2_232
| spl2_13
| ~ spl2_153
| ~ spl2_155
| spl2_118
| spl2_21 ),
inference(rat,[],[s4507,s1458,s2185,s3577,s4788,s4618,s4597,s977,s4369]) ).
cnf(s6093,plain,
( ~ spl2_188
| ~ spl2_349
| ~ spl2_431
| ~ spl2_106
| spl2_10
| spl2_112 ),
inference(rat,[],[s2515,s1240,s2505,s2393,s4571,s4465,s2012,s4827,s1318,s5313,s6058]) ).
cnf(s6094,plain,
( spl2_20
| ~ spl2_232
| ~ spl2_106
| spl2_13
| spl2_10
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s947,s4833,s4104,s1458,s3154,s2333,s1236,s766,s4915,s679,s5511,s4647,s2109,s2082,s3457,s539,s6093,s821,s6092,s4919,s3734,s1769,s1253,s1605,s2499,s810,s5383,s1667,s3847,s1232,s1770,s2236,s4497,s1660,s28,s1418,s398,s5313,s5921,s4884,s513,s2014,s687,s6058,s15,s4027,s6081,s312,s4807,s2330,s4912,s5901,s319,s6090]) ).
cnf(s6095,plain,
( spl2_13
| spl2_139
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s2505,s4883,s5511,s681,s756,s899,s5440,s17,s645,s5639,s1421,s3797,s6094,s4805,s5901,s152,s1990,s312,s15,s319,s1616,s111,s1294,s5921,s6058,s1112,s6091,s6090,s6081]) ).
cnf(s6096,plain,
( spl2_139
| ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s5309,s152,s5639,s5901,s4644,s4805,s3011,s4881,s4750,s6095,s6091,s5921,s513,s2014,s687,s6058,s6081,s6090]) ).
cnf(s6097,plain,
( ~ spl2_155
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s17,s1421,s4889,s28,s938,s4493,s112,s173,s6096,s4027,s15,s6081,s312,s5853,s5921,s6058]) ).
cnf(s6098,plain,
( ~ spl2_106
| spl2_97
| ~ spl2_271
| spl2_132
| ~ spl2_183
| spl2_268
| spl2_250
| ~ spl2_133
| ~ spl2_15
| spl2_139
| spl2_118
| spl2_112 ),
inference(rat,[],[s4028,s4382,s2271,s1236,s4830,s2820,s3960,s1235,s4374,s2505,s6063,s6070,s3698,s955,s539,s1467,s5170,s4807,s312,s5313,s6062,s2109,s2393,s2012,s5428,s3566,s1315,s111,s1294,s28,s1420,s5921,s6058]) ).
cnf(s6099,plain,
( spl2_345
| ~ spl2_188
| spl2_369
| spl2_346
| ~ spl2_13
| spl2_97
| ~ spl2_271
| ~ spl2_24
| spl2_10
| spl2_155
| spl2_118
| spl2_21
| spl2_109 ),
inference(rat,[],[s3649,s2499,s4786,s6078,s2757]) ).
cnf(s6100,plain,
( ~ spl2_188
| ~ spl2_102
| spl2_369
| spl2_346
| spl2_97
| spl2_186
| ~ spl2_271
| ~ spl2_267
| spl2_197
| spl2_268
| ~ spl2_133
| spl2_10
| ~ spl2_15
| spl2_128
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s4788,s3577,s2129,s821,s4741,s1903,s2634,s4597,s6099,s4374,s1703,s3476,s1235,s679,s4755,s4226,s2248,s5327,s3198,s312,s5313,s6097,s4593,s4750,s4288]) ).
cnf(s6101,plain,
( ~ spl2_373
| ~ spl2_157
| spl2_346
| ~ spl2_22
| spl2_322
| spl2_155
| spl2_118 ),
inference(rat,[],[s1024,s4562,s4788,s4786,s3254,s2757,s977,s2261,s2634]) ).
cnf(s6102,plain,
( ~ spl2_157
| ~ spl2_173
| ~ spl2_219
| ~ spl2_102
| spl2_346
| ~ spl2_22
| ~ spl2_50
| spl2_20
| spl2_139
| spl2_155
| spl2_118
| spl2_112 ),
inference(rat,[],[s4334,s4878,s5267,s1240,s2663,s1715,s2521,s4741,s6101,s1616,s2109,s2393,s2012,s5428,s5921,s4847,s861,s1238,s3247,s312,s5313,s688,s953,s1261,s1459,s449,s2397,s111,s1294,s6058,s107]) ).
cnf(s6103,plain,
( spl2_97
| ~ spl2_133
| ~ spl2_15
| spl2_139
| spl2_118
| spl2_21
| spl2_112 ),
inference(rat,[],[s4028,s2271,s4382,s4830,s955,s6102,s4374,s3478,s1236,s1235,s2820,s3960,s4755,s4787,s2505,s1720,s3698,s4517,s539,s6100,s152,s6098,s3734,s2161,s1769,s1253,s1605,s4750,s1339,s4288,s4797,s1616,s6062,s2109,s2393,s2012,s5428,s1556,s5921,s614,s4836,s657,s4847,s815,s1360,s5482,s861,s1238,s3247,s312,s5313,s688,s953,s1261,s1459,s449,s2397,s3566,s1315,s28,s1420,s111,s1294,s6058,s107,s6097,s5114]) ).
cnf(s6104,plain,
( ~ spl2_188
| ~ spl2_146
| ~ spl2_13
| ~ spl2_232
| ~ spl2_267
| spl2_197
| ~ spl2_133
| spl2_10
| ~ spl2_15
| spl2_155
| spl2_21
| spl2_112 ),
inference(rat,[],[s1705,s3476,s5103,s1235,s679,s3209,s4755,s4226,s2248,s5327,s3198,s312,s107,s5313,s4593,s4750]) ).
cnf(s6105,plain,
( ~ spl2_132
| ~ spl2_133
| ~ spl2_31
| ~ spl2_112 ),
inference(rat,[],[s17,s2377,s1421,s429,s2423,s5901,s5921,s111,s1294,s174]) ).
cnf(s6106,plain,
( ~ spl2_20
| ~ spl2_133
| ~ spl2_118
| spl2_103 ),
inference(rat,[],[s4416,s17,s141,s1421,s4738]) ).
cnf(s6107,plain,
( ~ spl2_21
| ~ spl2_118
| ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1458,s4507,s4833,s4879,s2236,s28,s6106,s4805,s6105,s6082,s15,s3206,s1687,s5916,s934,s5921,s1294,s174,s513,s2014,s687]) ).
cnf(s6108,plain,
( ~ spl2_133
| ~ spl2_118
| ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2413,s4629,s4750,s4374,s1667,s145,s4773,s596,s947,s4879,s2236,s28,s1418,s658,s6106,s5921,s1294,s174,s4774,s4507,s4590,s4884,s6107,s513,s2014,s687]) ).
cnf(s6109,plain,
( spl2_45
| spl2_12
| ~ spl2_118
| spl2_13 ),
inference(rat,[],[s76,s17,s148]) ).
cnf(s6110,plain,
( ~ spl2_20
| spl2_13
| ~ spl2_118 ),
inference(rat,[],[s6109,s1421,s4738]) ).
cnf(s6111,plain,
( ~ spl2_97
| spl2_133
| ~ spl2_37
| spl2_21
| ~ spl2_118
| ~ spl2_31
| ~ spl2_112 ),
inference(rat,[],[s2330,s145,s4912,s4016,s2423,s1418,s6110,s4750,s2413,s319]) ).
cnf(s6112,plain,
( ~ spl2_118
| ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s5235,s643,s3048,s2423,s1383,s5639,s2291,s4797,s6111,s2273,s6108,s4774,s4507,s4590,s4884,s6107,s5921,s111,s1294,s174,s513,s2014,s687]) ).
cnf(s6113,plain,
( ~ spl2_20
| spl2_13
| ~ spl2_251
| ~ spl2_153
| ~ spl2_31
| spl2_139 ),
inference(rat,[],[s4829,s3960,s2107,s4838,s1236,s4645,s3752,s4386,s2393,s449,s2012,s893,s5428,s379,s745,s663,s3080,s76,s3248,s4644,s15,s17,s947,s645,s5639,s1420,s1421,s1422,s3797,s4738,s5921,s111,s1294]) ).
cnf(s6114,plain,
( ~ spl2_219
| ~ spl2_106
| spl2_109
| ~ spl2_37
| ~ spl2_120
| spl2_419
| spl2_132
| spl2_13
| spl2_10
| ~ spl2_478
| ~ spl2_251
| ~ spl2_153
| ~ spl2_31 ),
inference(rat,[],[s1236,s2333,s766,s4915,s679,s5511,s4647,s2109,s2082,s3457,s5921]) ).
cnf(s6115,plain,
( spl2_133
| spl2_132
| ~ spl2_25
| spl2_13
| spl2_10
| ~ spl2_97
| ~ spl2_285
| ~ spl2_478
| spl2_183
| spl2_21
| spl2_118
| ~ spl2_95
| ~ spl2_31
| ~ spl2_155 ),
inference(rat,[],[s2515,s2505,s2393,s1240,s4465,s2012,s5322,s4827,s1318,s539,s6114,s152,s1697,s977,s4506,s4597,s6086,s4618,s5883,s4788,s821,s2185,s6092,s4919,s3734,s1769,s1253,s1605,s1238,s2499,s810,s1205,s5383,s2330,s4497,s4591,s15,s4912,s4016,s319,s513,s2014,s687,s4884,s2188,s1232,s397,s4805,s1667,s2236,s1339,s3248,s5921]) ).
cnf(s6116,plain,
( ~ spl2_219
| spl2_15
| spl2_278
| ~ spl2_179
| spl2_109
| ~ spl2_133
| ~ spl2_232
| spl2_42
| ~ spl2_25
| spl2_268
| ~ spl2_251
| spl2_21
| ~ spl2_153
| ~ spl2_112 ),
inference(rat,[],[s6085,s4915,s1236,s2200,s766,s4226,s679,s4647,s15,s4497]) ).
cnf(s6117,plain,
( spl2_15
| spl2_278
| ~ spl2_179
| spl2_109
| ~ spl2_133
| ~ spl2_232
| spl2_42
| ~ spl2_25
| spl2_268
| spl2_10
| ~ spl2_251
| spl2_21
| ~ spl2_153
| ~ spl2_95
| ~ spl2_112 ),
inference(rat,[],[s1236,s902,s2333,s2196,s4915,s4465,s4827,s5826,s539,s6116,s4796,s2225,s15,s3154,s947,s4879,s4507,s4590]) ).
cnf(s6118,plain,
( ~ spl2_97
| spl2_21
| ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s152,s1750,s4807,s4374,s1573,s6117,s2109,s2393,s2012,s5428,s1238,s3566,s1066,s4879,s1315,s6115,s3030,s1667,s4805,s2236,s2423,s28,s658,s6113,s4750,s1112,s2413,s1616,s111,s1294,s174,s5921,s6112,s4547,s4813,s3154,s4507,s4590,s4884,s513,s2014,s687]) ).
cnf(s6120,plain,
( spl2_194
| spl2_278
| ~ spl2_179
| ~ spl2_422
| spl2_13
| spl2_109
| ~ spl2_285
| ~ spl2_478
| ~ spl2_251
| ~ spl2_153 ),
inference(rat,[],[s766,s2102,s1236,s1235,s2333,s2299,s4915]) ).
cnf(s6121,plain,
( ~ spl2_188
| spl2_21
| ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1723,s4102,s2771,s2499,s4620,s2185,s5629,s4788,s6086,s4506,s1240,s1697,s679,s6068,s152,s645,s4226,s4596,s5511,s4632,s2200,s6120,s2109,s2393,s2012,s4827,s1318,s6112,s3154,s748,s4585,s658,s4924,s1238,s4547,s4813,s1239,s1192,s3734,s1769,s1253,s1605,s807,s643,s2273,s1315,s3567,s2236,s28,s4750,s3011,s4629,s4507,s4590,s4884,s513,s2014,s687,s2423,s5639,s2291,s1339,s4797,s6118,s111,s1294,s174,s5921]) ).
cnf(s6122,plain,
( spl2_21
| ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4226,s2200,s679,s6120,s4370,s2109,s2082,s3457,s539,s6121,s4585,s4750,s658,s3011,s1192,s5639,s4629,s2973,s4797,s6118,s4507,s3154,s4590,s4884,s5921,s111,s1294,s174,s513,s2014,s687,s6112]) ).
cnf(s6123,plain,
( ~ spl2_25
| ~ spl2_232
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| ~ spl2_153
| ~ spl2_4 ),
inference(rat,[],[s1458,s4507,s4833,s4879,s2236]) ).
cnf(s6124,plain,
( ~ spl2_31
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4465,s4827,s2505,s539,s4883,s3240,s4143,s681,s756,s2377,s5440,s17,s645,s5639,s1421,s3797,s28,s6123,s1112,s4805,s6082,s6105,s15,s3206,s1687,s5916,s934,s6122,s513,s111,s2014,s1294,s5921,s174,s687]) ).
cnf(s6125,plain,
( ~ spl2_25
| ~ spl2_219
| spl2_15
| spl2_28
| ~ spl2_4
| spl2_13
| spl2_31 ),
inference(rat,[],[s4893,s5701,s1232,s3248,s15,s4591]) ).
cnf(s6126,plain,
( ~ spl2_219
| ~ spl2_192
| spl2_109
| spl2_15
| spl2_337
| spl2_28
| ~ spl2_232
| ~ spl2_4
| ~ spl2_98
| spl2_13
| ~ spl2_251
| spl2_31
| spl2_322 ),
inference(rat,[],[s4101,s1235,s2547,s4762,s3858,s903,s1331,s899,s2109,s4630,s4646,s679,s5772,s449,s893,s743,s745,s6125,s15,s4591,s4051]) ).
cnf(s6127,plain,
( ~ spl2_25
| ~ spl2_273
| ~ spl2_326
| ~ spl2_18
| spl2_133
| spl2_118
| spl2_132
| ~ spl2_4
| ~ spl2_98
| spl2_13
| spl2_10 ),
inference(rat,[],[s2505,s5635,s4465,s4807,s4014,s152,s4893,s1280,s1232,s3248,s397]) ).
cnf(s6128,plain,
( spl2_109
| spl2_133
| spl2_118
| spl2_20
| ~ spl2_4
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1236,s4386,s4602,s4062,s4752,s2771,s5075,s4620,s4902,s1240,s17,s4571,s5883,s3080,s821,s935,s2312,s679,s828,s5721,s5772,s5696,s3792,s5754,s449,s4193,s4747,s893,s743,s745,s6127,s681,s4814,s4827,s5826,s5906,s539,s6126,s4051,s1238,s687,s4884,s4547,s4813,s1112,s174,s112,s387,s4805,s397,s319,s1687,s15,s4591,s5908,s3905,s3908,s4131,s4016,s2423,s4750,s2413,s5828,s6124]) ).
cnf(s6129,plain,
( spl2_133
| spl2_118
| spl2_20
| ~ spl2_4
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1067,s1225,s6128,s2330,s4912,s4016,s319,s4750,s2413,s2423]) ).
cnf(s6130,plain,
( ~ spl2_219
| spl2_404
| ~ spl2_192
| spl2_109
| spl2_15
| spl2_28
| ~ spl2_232
| ~ spl2_4
| ~ spl2_98
| spl2_13
| ~ spl2_251
| spl2_31
| ~ spl2_155 ),
inference(rat,[],[s4885,s893,s3206,s745,s6126,s6125,s687]) ).
cnf(s6131,plain,
( ~ spl2_25
| ~ spl2_273
| ~ spl2_326
| ~ spl2_192
| spl2_109
| ~ spl2_18
| ~ spl2_285
| ~ spl2_389
| ~ spl2_133
| spl2_28
| spl2_268
| ~ spl2_4
| ~ spl2_98
| spl2_13
| spl2_31
| spl2_139 ),
inference(rat,[],[s1836,s2505,s5801,s4465,s1413,s4902,s152,s947,s4893,s1280,s4879,s1232,s3248]) ).
cnf(s6132,plain,
( spl2_109
| spl2_15
| ~ spl2_285
| ~ spl2_389
| ~ spl2_133
| spl2_28
| ~ spl2_232
| spl2_268
| ~ spl2_4
| ~ spl2_98
| spl2_13
| spl2_10
| spl2_183
| spl2_21
| spl2_31
| ~ spl2_155
| spl2_139 ),
inference(rat,[],[s2505,s3949,s1836,s899,s5089,s17,s947,s5772,s1346,s4885,s449,s4193,s893,s4793,s745,s6131,s681,s4814,s4827,s5826,s5906,s539,s6130,s1743,s4051,s1238,s4884,s15]) ).
cnf(s6133,plain,
( spl2_15
| ~ spl2_285
| ~ spl2_389
| ~ spl2_133
| spl2_118
| ~ spl2_232
| spl2_268
| ~ spl2_4
| ~ spl2_98
| spl2_13
| spl2_10
| spl2_183
| spl2_21
| spl2_31
| ~ spl2_155
| spl2_139 ),
inference(rat,[],[s1225,s1066,s6132,s397]) ).
cnf(s6134,plain,
( ~ spl2_15
| ~ spl2_133
| ~ spl2_4
| ~ spl2_97
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s2827,s1346,s152,s17,s4807,s4902,s1573,s5919,s1112,s174,s112,s387,s5828]) ).
cnf(s6135,plain,
( spl2_118
| spl2_20
| ~ spl2_4
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4373,s4893,s4833,s1232,s2236,s745,s4793,s4585,s897,s5857,s513,s4507,s6133,s15,s6134,s1316,s6129,s397,s4547,s4813,s4590,s4884,s1112,s174,s4750,s2413,s112,s387,s5828,s6124,s658,s4805,s2423]) ).
cnf(s6136,plain,
( spl2_20
| ~ spl2_4
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s6134,s4016,s4131,s3908,s3905,s5915,s6135,s2423,s5828,s6124,s4750,s2413]) ).
cnf(s6137,plain,
( ~ spl2_4
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s681,s935,s700,s679,s5772,s449,s893,s4793,s379,s745,s3080,s76,s663,s899,s3248,s15,s17,s947,s645,s5639,s1420,s1421,s1422,s3797,s4738,s6136,s5828,s6124,s4884,s4750,s2413]) ).
cnf(s6138,plain,
( ~ spl2_211
| ~ spl2_321
| ~ spl2_12
| spl2_118
| spl2_103
| ~ spl2_98
| ~ spl2_130
| spl2_31 ),
inference(rat,[],[s4883,s1552,s681,s4787,s4814,s2081,s1732]) ).
cnf(s6139,plain,
( spl2_194
| spl2_147
| ~ spl2_12
| ~ spl2_219
| ~ spl2_37
| ~ spl2_192
| spl2_109
| ~ spl2_75
| spl2_118
| spl2_103
| ~ spl2_421
| ~ spl2_98
| ~ spl2_130
| spl2_31
| spl2_322 ),
inference(rat,[],[s2384,s4762,s1331,s4647,s4630,s679,s6138,s1235,s4101,s2547,s2505]) ).
cnf(s6140,plain,
( ~ spl2_194
| spl2_133
| ~ spl2_18
| ~ spl2_232
| spl2_132
| spl2_13
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s899,s3949,s645,s4226,s4632,s2200]) ).
cnf(s6141,plain,
( ~ spl2_12
| ~ spl2_219
| ~ spl2_37
| spl2_109
| spl2_194
| ~ spl2_75
| spl2_118
| spl2_103
| ~ spl2_421
| ~ spl2_98
| ~ spl2_130
| spl2_31
| ~ spl2_155 ),
inference(rat,[],[s4811,s6139,s3213,s687,s1238,s4547]) ).
cnf(s6142,plain,
( ~ spl2_211
| ~ spl2_153
| ~ spl2_48
| ~ spl2_71
| spl2_109
| spl2_133
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4786,s1757,s5073,s3778,s1165,s4584,s821,s645,s955,s2312,s4759,s977,s2990,s828,s5742,s5754,s449,s4467,s5696,s920,s4829,s694,s5631,s4814,s5877,s2393,s681,s4915,s4883,s1235,s2333,s1552,s3333,s1236,s4787,s766,s2081,s586,s3154,s1112,s174,s5827,s52,s658,s4677,s124,s3792,s385,s6137,s4591,s5908,s3905,s3908,s4131,s319,s2505,s6140,s15,s4805,s2423,s4750,s2413,s4924,s4590,s4884,s4051,s1238,s4547,s4813,s112,s387,s5828,s6124]) ).
cnf(s6143,plain,
( ~ spl2_353
| ~ spl2_245
| spl2_250
| spl2_118
| ~ spl2_32 ),
inference(rat,[],[s4786,s3475,s1639,s4250,s955,s5887]) ).
cnf(s6144,plain,
( ~ spl2_345
| ~ spl2_236
| spl2_118
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4788,s4618,s5629,s4597]) ).
cnf(s6145,plain,
( ~ spl2_202
| spl2_12
| ~ spl2_219
| ~ spl2_37
| ~ spl2_366
| spl2_403
| spl2_109
| ~ spl2_321
| ~ spl2_75
| spl2_118
| spl2_103
| ~ spl2_421
| spl2_31
| spl2_322 ),
inference(rat,[],[s4811,s6143,s4101,s589,s831,s1235,s5247,s4883,s4762,s4829,s681,s2384,s5877,s701,s1331,s4647,s3449,s4630,s5828]) ).
cnf(s6146,plain,
( ~ spl2_219
| ~ spl2_25
| spl2_109
| spl2_133
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1710,s681,s4709,s4883,s1235,s1552,s3333,s513,s4787,s6142,s304,s679,s6145,s2051,s49,s76,s5778,s17,s6141,s687,s1273,s658,s4677,s4591,s2505,s2547,s6140,s15,s4805,s2423,s4750,s2413,s112,s387,s5828,s6124,s977,s6144,s4924,s1238,s4547,s4813,s4590,s4884,s124,s3792,s385,s6137,s4497]) ).
cnf(s6147,plain,
( ~ spl2_25
| spl2_109
| spl2_133
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4620,s2771,s1240,s5075,s5322,s5939,s4833,s4585,s4759,s2102,s1235,s4101,s4811,s648,s3213,s4902,s4904,s17,s1006,s1698,s899,s679,s4937,s2081,s4787,s4350,s4914,s2393,s4814,s694,s5826,s5906,s539,s6146,s1112,s174,s5827,s52,s658,s292,s2330,s4912,s319,s4591,s2547,s6140,s15,s4805,s2423,s4750,s2413,s112,s387,s5828,s6124,s977,s6144,s4924,s1238,s4547,s4813,s4590,s4884,s124,s3792,s385,s6137]) ).
cnf(s6148,plain,
( spl2_109
| spl2_133
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2515,s4762,s1240,s903,s2155,s899,s4788,s4646,s2185,s539,s4919,s2499,s5550,s4320,s4807,s152,s1697,s4506,s4584,s2174,s4786,s1757,s1769,s3778,s4846,s821,s2312,s4709,s679,s828,s1235,s5772,s5696,s4507,s4101,s449,s4193,s897,s893,s743,s745,s6147,s977,s6144,s2547,s4051,s4924,s1238,s687,s4547,s4813,s4590,s4884,s1112,s174,s112,s387,s5828,s6124,s1273,s5827,s52,s658,s124,s3792,s385,s6137,s4591,s1687,s2505,s6140,s15,s4805,s2423,s4750,s2413]) ).
cnf(s6149,plain,
( spl2_133
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1067,s1225,s6148,s2330,s4912,s319,s4750,s2413,s2423,s124,s3792,s385,s6137]) ).
cnf(s6150,plain,
( ~ spl2_25
| spl2_109
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s3949,s4226,s899,s2200,s5801,s6141,s4885,s539,s4811,s5550,s3213,s4807,s17,s4796,s1317,s2225,s4497,s1112,s174,s1273,s5827,s52,s658,s4805,s4677,s2423,s124,s4794,s3792,s385,s6137,s15,s4591,s4750,s2413,s1743,s1238,s4547,s4813,s112,s387,s5828,s6124,s6149]) ).
cnf(s6151,plain,
( spl2_109
| spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1836,s2505,s681,s3949,s700,s899,s5801,s17,s5772,s1346,s4885,s449,s4193,s893,s4793,s745,s6150,s1743,s4051,s1238,s174,s4884,s4547,s4813,s4750,s2413,s112,s387,s658,s4805,s2423,s15,s1316,s6149,s5828,s6124]) ).
cnf(s6152,plain,
( spl2_15
| spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1225,s1066,s6151,s6149,s4750,s2413,s124,s3792,s385,s6137]) ).
cnf(s6153,plain,
( spl2_20
| ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1317,s17,s745,s4902,s1279,s4016,s5919,s6152,s4794,s3792,s2423,s387,s5828,s6124,s5827,s52,s385,s6137]) ).
cnf(s6154,plain,
( ~ spl2_97
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1757,s4786,s449,s840,s893,s831,s745,s2396,s4921,s4890,s1769,s3778,s821,s4369,s977,s6144,s4924,s1238,s379,s4735,s1637,s76,s663,s15,s17,s947,s6110,s1420,s1421,s1422,s4474,s4738,s6153,s5827,s52,s6137,s4750,s2413,s5828,s6124,s4547,s4813,s4590,s4884]) ).
cnf(s6155,plain,
( spl2_194
| spl2_103
| ~ spl2_217
| ~ spl2_98
| ~ spl2_219
| spl2_12
| ~ spl2_421
| ~ spl2_37
| ~ spl2_366
| ~ spl2_192
| spl2_109
| ~ spl2_75
| spl2_118
| spl2_97
| ~ spl2_251
| spl2_31
| spl2_322 ),
inference(rat,[],[s766,s1236,s679,s3537,s6145,s3698,s2547,s2505]) ).
cnf(s6156,plain,
( ~ spl2_147
| ~ spl2_98
| ~ spl2_219
| spl2_12
| spl2_4
| ~ spl2_37
| ~ spl2_366
| ~ spl2_192
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_132
| spl2_97
| ~ spl2_251
| spl2_31
| spl2_322 ),
inference(rat,[],[s899,s645,s5511,s4632,s6155,s322,s152,s3316,s441,s955,s5887,s4811,s5828,s319,s1273,s5827,s5917,s52]) ).
cnf(s6157,plain,
( spl2_194
| spl2_306
| spl2_147
| ~ spl2_98
| ~ spl2_219
| ~ spl2_192
| spl2_109
| ~ spl2_18
| spl2_268
| spl2_97 ),
inference(rat,[],[s4759,s645,s1235,s899,s4101,s3698,s2547,s2505]) ).
cnf(s6158,plain,
( ~ spl2_194
| ~ spl2_219
| spl2_133
| spl2_13
| ~ spl2_18
| spl2_132
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s4370,s899,s679,s645,s4226,s4632,s2200]) ).
cnf(s6159,plain,
( ~ spl2_98
| spl2_194
| ~ spl2_219
| ~ spl2_48
| spl2_12
| spl2_4
| ~ spl2_37
| ~ spl2_366
| ~ spl2_192
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_132
| spl2_268
| spl2_97
| ~ spl2_251
| spl2_31
| spl2_322 ),
inference(rat,[],[s6157,s5742,s6156,s76,s17]) ).
cnf(s6160,plain,
( ~ spl2_219
| ~ spl2_48
| spl2_12
| spl2_4
| ~ spl2_37
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4741,s833,s4250,s831,s5247,s3449,s3477,s304,s4936,s4808,s681,s4787,s2575,s1235,s725,s765,s3332,s4759,s4754,s152,s5742,s5913,s5743,s4671,s112,s6159,s4636,s645,s899,s721,s3698,s2505,s6158,s687,s5828,s6124,s6154,s658,s292,s1273,s76,s2066,s2786,s3219,s17,s977,s6144,s4924,s1238,s4547,s4813,s4590,s4884,s2330,s4912,s319,s2423]) ).
cnf(s6161,plain,
( spl2_12
| spl2_4
| ~ spl2_37
| ~ spl2_25
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s441,s5742,s2223,s1858,s4759,s1235,s3333,s4787,s2505,s4937,s4632,s682,s532,s2393,s4814,s694,s4827,s5826,s5906,s539,s6160,s49,s76,s17,s5828,s6124,s658,s2423,s319,s4924,s1238,s4547,s4813,s4590,s4884,s5827,s5917,s52]) ).
cnf(s6162,plain,
( ~ spl2_219
| ~ spl2_12
| ~ spl2_421
| ~ spl2_37
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_132
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s6158,s6141,s4813,s4014,s112,s4671,s1727,s6124]) ).
cnf(s6163,plain,
( spl2_4
| ~ spl2_37
| ~ spl2_25
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4826,s4506,s2575,s1697,s3332,s152,s4584,s4807,s5035,s5550,s539,s6162,s4051,s449,s112,s4811,s4671,s2793,s3213,s1727,s6161,s5917,s5827,s52,s1273,s6124,s6154,s4912,s319,s2423,s4924,s1238,s4547,s4813,s4590,s4884]) ).
cnf(s6164,plain,
( ~ spl2_321
| ~ spl2_106
| ~ spl2_273
| ~ spl2_481
| ~ spl2_98
| spl2_393
| spl2_103
| ~ spl2_39
| spl2_118 ),
inference(rat,[],[s1353,s4807,s1331,s5635,s2697]) ).
cnf(s6165,plain,
( ~ spl2_25
| spl2_109
| spl2_133
| spl2_13
| spl2_118
| spl2_15
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1353,s4482,s4827,s645,s4465,s4632,s2505,s6164,s152,s681,s4007,s3891,s112,s4814,s4671,s5906,s1318,s4014,s1727,s539,s4893,s6125,s3248,s2236,s6163,s4497,s1232,s6124,s6154,s2423,s15,s397,s4591]) ).
cnf(s6167,plain,
( ~ spl2_188
| ~ spl2_9
| ~ spl2_421
| ~ spl2_95
| ~ spl2_239
| ~ spl2_98
| spl2_10
| ~ spl2_153
| ~ spl2_192
| spl2_109
| spl2_118 ),
inference(rat,[],[s1697,s4506,s152,s4584,s4807,s5035,s5550,s4051]) ).
cnf(s6168,plain,
( spl2_4
| ~ spl2_202
| ~ spl2_153
| spl2_103
| ~ spl2_77
| spl2_109
| spl2_133
| ~ spl2_75
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2515,s4919,s1240,s1769,s4320,s2672,s3778,s4846,s841,s821,s805,s4936,s4833,s4787,s4796,s4585,s1552,s723,s1832,s4883,s4762,s1235,s681,s903,s4636,s4101,s701,s1331,s899,s2547,s2505,s4630,s4370,s6157,s6158,s539,s6167,s5827,s1273,s687,s5828,s6124,s6154,s658,s2423,s977,s6144,s4924,s1238,s4547,s4590,s5917,s1170,s112,s1619,s4813,s449,s893,s4884,s3792,s4747]) ).
cnf(s6169,plain,
( spl2_109
| spl2_133
| spl2_13
| spl2_118
| spl2_15
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4883,s2505,s681,s1552,s4465,s4814,s4787,s4827,s5906,s3666,s539,s4807,s5701,s152,s4797,s4007,s4893,s6168,s679,s2973,s5772,s4051,s3792,s449,s112,s5917,s897,s1574,s4747,s893,s1619,s1170,s743,s745,s6165,s1238,s6124,s4884,s4547,s4813,s6154,s15,s4591,s1687]) ).
cnf(s6170,plain,
( spl2_133
| spl2_13
| spl2_118
| spl2_15
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1067,s1225,s6169,s2330,s4912,s319,s2423]) ).
cnf(s6171,plain,
( ~ spl2_219
| spl2_278
| spl2_306
| ~ spl2_192
| spl2_109
| spl2_147
| ~ spl2_98
| spl2_13
| ~ spl2_18
| spl2_268
| spl2_97
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s4226,s679,s2200,s4370,s6157]) ).
cnf(s6172,plain,
( spl2_109
| ~ spl2_12
| spl2_360
| ~ spl2_98
| ~ spl2_389
| ~ spl2_133
| spl2_13
| spl2_118
| ~ spl2_18
| spl2_268
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1237,s4329,s4621,s4363,s4226,s2200,s2505,s1836,s681,s4814,s5826,s5906,s539,s6171,s2771,s821,s899,s5072,s805,s5801,s947,s977,s4885,s6144,s4051,s1743,s4924,s1238,s174,s4547,s4813,s4590,s4884,s4130,s6154,s449,s4811,s3213,s6124]) ).
cnf(s6173,plain,
( spl2_13
| spl2_118
| spl2_15
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1225,s1066,s6172,s17,s5939,s76,s112,s4130,s874,s4134,s5710,s6170,s84,s6124,s886,s6154,s658,s15]) ).
cnf(s6174,plain,
( spl2_118
| spl2_15
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1223,s3316,s5259,s4531,s152,s3338,s1877,s4750,s6173,s4884,s4547,s4813,s6154]) ).
cnf(s6175,plain,
( spl2_15
| spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2200,s2505,s4226,s3581,s357,s1184,s5259,s955,s152,s3338,s1877,s5655,s1331,s3905,s3058,s5915,s6174,s3908,s4131,s5828,s6124,s4813,s4884,s6154]) ).
cnf(s6176,plain,
( ~ spl2_25
| spl2_39
| ~ spl2_120
| ~ spl2_192
| spl2_109
| spl2_13
| spl2_208
| ~ spl2_15
| spl2_268
| spl2_97
| spl2_237
| spl2_31 ),
inference(rat,[],[s5909,s441,s4811,s5742,s3316,s5747,s152,s4807,s5917,s52,s49,s3248,s5828,s76,s17,s4902,s5919]) ).
cnf(s6177,plain,
( spl2_39
| spl2_133
| ~ spl2_192
| spl2_109
| spl2_13
| ~ spl2_15
| spl2_268
| spl2_20
| spl2_97
| spl2_237
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s4797,s3792,s5827,s4747,s1279,s1170,s745,s6176,s1573,s319]) ).
cnf(s6178,plain,
( ~ spl2_10
| spl2_97
| spl2_237
| spl2_322 ),
inference(rat,[],[s4507,s4629,s513,s52,s1169,s748,s5917]) ).
cnf(s6179,plain,
( ~ spl2_107
| ~ spl2_306
| spl2_109
| ~ spl2_71
| ~ spl2_17
| spl2_268
| ~ spl2_130
| spl2_31 ),
inference(rat,[],[s49,s745,s5742,s1619,s5743]) ).
cnf(s6180,plain,
( spl2_13
| spl2_45
| ~ spl2_102
| ~ spl2_15
| spl2_268
| spl2_20
| spl2_97
| spl2_237
| spl2_183
| ~ spl2_130
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s6177,s1280,s874,s112,s6179,s4374,s3332,s4924,s1238,s379,s76,s886,s17,s4902,s5919]) ).
cnf(s6181,plain,
( spl2_20
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1279,s745,s5827,s52,s1666,s3080,s54,s1202,s372,s352,s5259,s6180,s636,s152,s4593,s4807,s17,s4902,s1573,s5919,s6175,s658,s6124,s4547,s4813,s6178,s6154,s4590,s4884,s687]) ).
cnf(s6182,plain,
( ~ spl2_25
| spl2_345
| spl2_13
| ~ spl2_20 ),
inference(rat,[],[s3778,s1769,s5827,s52,s4921,s3248,s5639,s1637,s17,s1421,s4474,s821,s4369,s977,s4735,s15,s1420]) ).
cnf(s6183,plain,
( ~ spl2_27
| ~ spl2_239
| spl2_109
| spl2_13
| spl2_278
| ~ spl2_17
| ~ spl2_306
| ~ spl2_251
| ~ spl2_32
| ~ spl2_155 ),
inference(rat,[],[s681,s935,s700,s679,s5772,s4480,s898,s663]) ).
cnf(s6184,plain,
( spl2_13
| spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4793,s6183,s449,s893,s745,s6182,s6144,s4924,s1238,s379,s6109,s76,s5828,s6124,s4547,s4813,s4590,s4884,s4738,s947,s1422,s17,s1421,s899,s645,s3797,s15,s1420,s6181]) ).
cnf(s6185,plain,
( spl2_21
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4226,s357,s2200,s1331,s2505,s3058,s3698,s1223,s1184,s3316,s5240,s4531,s955,s152,s3338,s1877,s4750,s5655,s6184,s899,s15,s645,s1420,s3797,s6181,s6154,s4547,s4884,s4813]) ).
cnf(s6186,plain,
( ~ spl2_25
| spl2_39
| ~ spl2_17
| ~ spl2_97
| spl2_107
| spl2_13
| spl2_20
| ~ spl2_133
| ~ spl2_112 ),
inference(rat,[],[s3792,s385,s4794,s3248,s1317]) ).
cnf(s6187,plain,
( ~ spl2_147
| spl2_247
| spl2_31 ),
inference(rat,[],[s5909,s441,s4811,s5828]) ).
cnf(s6188,plain,
( ~ spl2_9
| ~ spl2_407
| ~ spl2_208
| ~ spl2_106
| ~ spl2_422
| spl2_286
| ~ spl2_17
| ~ spl2_183
| spl2_109
| ~ spl2_239
| ~ spl2_98
| spl2_118
| spl2_132
| ~ spl2_133
| ~ spl2_21 ),
inference(rat,[],[s4596,s4746,s2505,s1235,s2027,s2271,s899,s645,s3336,s5428,s539,s4416,s5522,s322,s15,s5916,s1346]) ).
cnf(s6189,plain,
( ~ spl2_17
| ~ spl2_97
| spl2_109
| spl2_13
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4814,s5906,s681,s539,s1836,s2027,s2505,s645,s5436,s3336,s3792,s5197,s5428,s2006,s3080,s5827,s6188,s3669,s4807,s1992,s4585,s1170,s1592,s745,s3701,s6186,s76,s3825,s663,s658,s900,s4134,s449,s1238,s1743,s4885,s6187,s2223,s15,s3206,s112,s5789,s5915,s3905,s3908,s4131,s5828,s84,s5916,s6124,s1687,s934,s6185,s1112,s174,s4805,s2423]) ).
cnf(s6190,plain,
( ~ spl2_97
| spl2_109
| spl2_13
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s6123,s513,s745,s52,s1169,s1170,s933,s17,s6189,s4805,s1687,s3206,s934,s15,s5916,s6185,s2423]) ).
cnf(s6191,plain,
( spl2_97
| spl2_107
| spl2_13
| ~ spl2_133
| ~ spl2_21 ),
inference(rat,[],[s2234,s52,s933,s17,s76,s874,s4130,s886,s15,s5916]) ).
cnf(s6192,plain,
( spl2_13
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1066,s1225,s6190,s6191,s5789,s5915,s3905,s84,s5828,s6124,s1687,s934,s3908,s4131,s5916,s6185]) ).
cnf(s6193,plain,
( ~ spl2_192
| spl2_103
| ~ spl2_95
| spl2_4
| ~ spl2_17
| spl2_118
| spl2_109
| spl2_107
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4331,s1240,s2499,s2541,s3784,s4142,s1637,s539,s3545,s5522,s4878,s4877,s4596,s4807,s2663,s5154,s152,s5939,s5381,s831,s955,s1750,s4833,s6143,s5887,s2575,s4811,s4808,s4885,s1756,s1743,s5828,s6124,s941,s3206,s658,s2423,s1885,s6192,s112,s492,s318,s15,s5916,s308,s174,s1346,s1273,s5827,s52,s745,s1317,s4794,s645,s3336,s5428,s4417,s1687,s934,s6185]) ).
cnf(s6194,plain,
( ~ spl2_147
| spl2_192
| ~ spl2_95
| spl2_4
| spl2_123
| spl2_118
| spl2_109
| ~ spl2_232
| spl2_107
| spl2_250
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_139 ),
inference(rat,[],[s4481,s4787,s1711,s4936,s4602,s4648,s1236,s4382,s3858,s3960,s5154,s955,s5887,s4811,s112]) ).
cnf(s6195,plain,
( spl2_194
| ~ spl2_183
| ~ spl2_185
| ~ spl2_95
| ~ spl2_9
| ~ spl2_17
| spl2_118
| spl2_128
| spl2_109
| ~ spl2_389
| spl2_107
| ~ spl2_13
| spl2_268
| spl2_20
| ~ spl2_18
| ~ spl2_133 ),
inference(rat,[],[s3353,s831,s4788,s2494,s2155,s4329,s1240,s1237,s2541,s2556,s4142,s821,s5523,s4807,s152,s1958,s4787,s1710,s3422,s4709,s1235,s1637,s3478,s5039,s4585,s5939,s2027,s1165,s4468,s539,s4829,s694,s586,s5877,s2393,s681,s3574,s3752,s1836,s4305,s4838,s2505,s1885,s112,s1346,s899,s4836]) ).
cnf(s6196,plain,
( ~ spl2_349
| ~ spl2_287
| ~ spl2_239
| ~ spl2_9
| spl2_286
| spl2_118 ),
inference(rat,[],[s4786,s1757,s2174,s3778]) ).
cnf(s6197,plain,
( ~ spl2_227
| ~ spl2_345
| ~ spl2_368
| ~ spl2_205
| ~ spl2_119
| ~ spl2_329
| spl2_20 ),
inference(rat,[],[s2779,s4451,s2499,s1673,s4331]) ).
cnf(s6198,plain,
( spl2_4
| ~ spl2_17
| spl2_118
| spl2_109
| ~ spl2_97
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2324,s4142,s4854,s2541,s2521,s1240,s6197,s977,s805,s821,s6196,s4386,s1236,s4648,s4936,s4787,s4486,s4796,s152,s4584,s4807,s4830,s3669,s2271,s539,s5906,s4814,s681,s3473,s5939,s1235,s1165,s4746,s3858,s4596,s3960,s6195,s4885,s449,s6194,s1238,s6193,s899,s645,s3336,s5428,s4417,s4677,s3792,s385,s5827,s52,s941,s658,s1885,s6192,s387,s1316,s5828,s6124,s4805,s2423,s492,s318,s15,s5916,s308,s174,s1346,s1687,s663,s3206,s934,s6185]) ).
cnf(s6199,plain,
( ~ spl2_194
| ~ spl2_239
| ~ spl2_183
| spl2_278
| ~ spl2_106
| ~ spl2_4
| spl2_39
| spl2_286
| spl2_109
| ~ spl2_232
| spl2_10
| spl2_268
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3478,s1235,s4585,s539,s4746,s2006,s4827,s4677,s3792,s4465,s5436,s4596,s2423]) ).
cnf(s6200,plain,
( ~ spl2_321
| ~ spl2_407
| ~ spl2_183
| spl2_278
| ~ spl2_185
| ~ spl2_4
| spl2_39
| spl2_109
| ~ spl2_389
| spl2_268
| spl2_31 ),
inference(rat,[],[s513,s1710,s4644,s4709,s4585,s1235,s2027,s2271,s539,s5906,s4814,s681,s1836]) ).
cnf(s6201,plain,
( ~ spl2_183
| ~ spl2_185
| ~ spl2_106
| ~ spl2_4
| spl2_39
| spl2_286
| spl2_109
| ~ spl2_97
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4602,s1236,s4763,s449,s4382,s4645,s6199,s3858,s3960,s2505,s6200,s955,s3669,s1467,s174,s941,s3206,s658,s1316,s5828,s6124,s1687,s934,s4805,s2423,s4807,s1885,s6192,s899,s15,s5916,s6185]) ).
cnf(s6202,plain,
( ~ spl2_194
| ~ spl2_217
| ~ spl2_156
| ~ spl2_4
| spl2_39
| spl2_109
| ~ spl2_232
| spl2_250
| spl2_139 ),
inference(rat,[],[s931,s1236,s4490,s4382,s4645,s3858]) ).
cnf(s6203,plain,
( ~ spl2_17
| spl2_118
| spl2_109
| ~ spl2_97
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2271,s1235,s539,s920,s5906,s4814,s681,s1836,s2505,s6202,s4830,s955,s5887,s4811,s4885,s1756,s1743,s1238,s6201,s645,s3336,s152,s5428,s2827,s3080,s6198,s3825,s663,s1346,s174,s941,s3206,s15,s5916,s1316,s1687,s934,s6185,s4805,s2423,s112,s387,s5828,s6124]) ).
cnf(s6204,plain,
( ~ spl2_29
| ~ spl2_232
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133 ),
inference(rat,[],[s6123,s513,s745,s52,s1169,s1170]) ).
cnf(s6205,plain,
( spl2_4
| ~ spl2_118
| ~ spl2_97
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3792,s124,s385]) ).
cnf(s6206,plain,
( spl2_109
| ~ spl2_97
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1236,s4382,s4602,s4829,s586,s4763,s5877,s3574,s3752,s4305,s4838,s2505,s6202,s955,s1756,s5887,s1238,s3792,s4811,s6201,s4772,s5484,s645,s1386,s4807,s3336,s152,s5428,s2827,s3080,s6205,s5794,s6203,s174,s941,s1885,s6192,s112,s387,s5828,s6124,s1346,s663,s3825,s17,s933,s6204,s4805,s2423,s3206,s1687,s934,s15,s5916,s6185]) ).
cnf(s6207,plain,
( ~ spl2_97
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s3792,s385,s4417,s3080,s54,s5448,s6206,s17,s933,s6204,s4805,s308,s174,s1687,s3206,s934,s15,s5916,s6185,s2423]) ).
cnf(s6208,plain,
( spl2_196
| ~ spl2_239
| spl2_106
| spl2_278
| ~ spl2_185
| ~ spl2_194
| spl2_192
| ~ spl2_9
| spl2_118
| spl2_286
| spl2_128
| spl2_109
| ~ spl2_42
| ~ spl2_13
| spl2_20
| spl2_250
| ~ spl2_112 ),
inference(rat,[],[s2324,s4142,s4854,s2541,s2521,s1240,s6197,s977,s805,s821,s6196,s4796,s4584,s539,s3792,s955,s694,s718,s4382,s4386,s1236,s4648,s4936,s4787,s4486,s1885,s5939,s3960,s174,s4596,s2423,s152]) ).
cnf(s6209,plain,
( spl2_147
| spl2_106
| ~ spl2_194
| spl2_192
| spl2_4
| spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s681,s4814,s3473,s717,s1235,s112,s4758,s4481,s955,s4787,s2251,s4936,s4602,s4648,s1236,s4386,s4819,s2384,s6208,s4885,s449,s6124,s941,s6192,s4130,s6207,s492,s318,s308,s1346,s1687,s663,s3206,s934,s1273,s5827,s52,s3960,s174,s4596,s2423,s899,s645,s3336,s3903,s15,s5916,s6185]) ).
cnf(s6210,plain,
( ~ spl2_147
| ~ spl2_194
| ~ spl2_183
| ~ spl2_9
| spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2492,s1237,s3545,s3429,s4878,s2663,s5381,s493,s745,s4808,s4936,s49,s3477,s4787,s532,s3020,s681,s4481,s2393,s4814,s694,s5906,s539,s2271,s1235,s4758,s831,s4830,s955,s112,s6143,s5887,s5743,s4811,s5828,s6124,s941,s3206,s658,s5939,s4130,s6207,s15,s5916,s1346,s1687,s934,s3960,s174,s4596,s2423,s756,s645,s3336,s3903,s6185]) ).
cnf(s6211,plain,
( ~ spl2_194
| spl2_192
| spl2_4
| spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2271,s539,s1235,s4827,s4746,s3669,s4465,s322,s4807,s6209,s449,s6210,s645,s3336,s4596,s3903,s2423,s1885,s6192,s663,s3206,s934,s6185,s5827,s52,s1238]) ).
cnf(s6212,plain,
( ~ spl2_362
| spl2_349
| ~ spl2_404
| spl2_186
| ~ spl2_117
| ~ spl2_102
| ~ spl2_267
| spl2_118
| ~ spl2_133 ),
inference(rat,[],[s3327,s4788,s831,s2129,s833,s3321,s4142]) ).
cnf(s6213,plain,
( spl2_362
| ~ spl2_102
| spl2_128
| spl2_360
| ~ spl2_13
| ~ spl2_112 ),
inference(rat,[],[s2663,s4741,s4878,s4854,s3545,s2324]) ).
cnf(s6214,plain,
( spl2_106
| spl2_194
| ~ spl2_267
| ~ spl2_9
| spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s1240,s1762,s4571,s3778,s6212,s6213,s4885,s279,s5743,s4671,s5674,s4134,s4883,s1836,s681,s4814,s756,s4827,s5906,s645,s539,s3336,s5036,s5144,s4754,s103,s152,s6124,s3206,s2423,s1885,s6192,s3550,s5939,s4130,s6207,s1687,s934,s492,s318,s15,s5916,s308,s6185,s174,s2505]) ).
cnf(s6215,plain,
( spl2_192
| spl2_4
| spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s645,s3336,s6195,s5428,s4134,s4416,s111,s4671,s322,s5913,s6214,s6211,s4836,s1238,s6124,s1687,s934,s658,s6192,s492,s318,s15,s5916,s308,s6185,s174,s5827,s52]) ).
cnf(s6216,plain,
( spl2_106
| ~ spl2_192
| ~ spl2_9
| spl2_118
| spl2_286
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4331,s4596,s1240,s2499,s5036,s2541,s2795,s539,s4142,s821,s5035,s6196,s645,s449,s4584,s3336,s6187,s4830,s5144,s6213,s3316,s3318,s429,s4754,s103,s152,s6124,s3206,s2423,s1885,s6192,s5939,s4130,s6207,s1687,s934,s492,s318,s15,s5916,s308,s6185,s174]) ).
cnf(s6217,plain,
( spl2_4
| spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s6193,s111,s4671,s322,s5913,s6216,s6215,s5827,s52,s6124,s663,s3206,s934,s6185]) ).
cnf(s6218,plain,
( ~ spl2_194
| ~ spl2_239
| ~ spl2_107
| ~ spl2_102
| ~ spl2_159
| ~ spl2_116
| ~ spl2_4
| spl2_118
| spl2_39
| spl2_286
| spl2_128
| spl2_109
| spl2_139 ),
inference(rat,[],[s2107,s1236,s4829,s4386,s5441,s718,s3960]) ).
cnf(s6219,plain,
( spl2_106
| ~ spl2_422
| ~ spl2_159
| ~ spl2_185
| ~ spl2_116
| ~ spl2_4
| spl2_118
| ~ spl2_17
| spl2_128
| spl2_109
| spl2_97
| ~ spl2_13
| spl2_20
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_139 ),
inference(rat,[],[s3473,s681,s1235,s4814,s1832,s5906,s3749,s539,s4838,s5036,s6218,s4885,s449,s5743,s112,s2827,s4754,s103,s152,s886,s1346,s663,s3825]) ).
cnf(s6220,plain,
( ~ spl2_183
| ~ spl2_185
| ~ spl2_116
| ~ spl2_4
| spl2_118
| ~ spl2_17
| spl2_128
| spl2_109
| spl2_97
| ~ spl2_13
| spl2_132
| spl2_20
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| ~ spl2_155
| spl2_139 ),
inference(rat,[],[s3240,s539,s681,s4827,s2764,s4465,s4596,s2505,s6200,s4134,s3669,s4671,s4807,s5913,s6219,s4585,s4644,s4826,s493,s658,s1885,s111,s4797,s3825,s5197,s745,s2236,s3080,s2234,s4130,s756]) ).
cnf(s6221,plain,
( spl2_106
| ~ spl2_192
| ~ spl2_185
| ~ spl2_116
| ~ spl2_4
| spl2_118
| ~ spl2_17
| spl2_128
| spl2_109
| spl2_97
| ~ spl2_13
| spl2_268
| spl2_20
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_139 ),
inference(rat,[],[s6219,s4585,s4592,s152]) ).
cnf(s6222,plain,
( spl2_118
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2663,s2935,s2898,s4076,s831,s6143,s4811,s1637,s4885,s5251,s1743,s5443,s112,s4671,s4807,s5913,s6221,s1238,s6220,s645,s3336,s745,s5428,s3792,s2236,s3080,s4797,s6217,s5828,s6124,s941,s3206,s658,s2423,s1885,s6192,s4130,s6207,s1687,s934,s492,s318,s308,s174,s3825,s15,s5916,s6185]) ).
cnf(s6223,plain,
( spl2_4
| ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s5909,s4811,s955,s449,s4382,s4386,s1236,s4732,s718,s4838,s645,s2253,s3336,s166,s5144,s103,s152,s322,s3792,s111,s124,s5827,s52,s1687,s941,s2423,s663,s3206,s934,s5794,s5828,s6124,s3749,s3058,s6222,s886,s6207,s15,s5916,s6185]) ).
cnf(s6224,plain,
( ~ spl2_17
| spl2_109
| spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s4838,s645,s718,s3336,s2393,s5428,s3792,s4645,s3080,s4797,s6223,s3749,s3058,s6222,s3825,s15,s5916,s6185,s886,s6207]) ).
cnf(s6225,plain,
( ~ spl2_29
| ~ spl2_42 ),
inference(rat,[],[s2234,s52]) ).
cnf(s6226,plain,
( spl2_20
| ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s358,s3792,s898,s4417,s4480,s54,s5448,s6224,s17,s933,s6225,s4130,s6207,s308,s174,s1687,s3206,s934,s15,s5916,s6185]) ).
cnf(s6227,plain,
( spl2_192
| ~ spl2_194
| ~ spl2_95
| spl2_106
| spl2_4
| spl2_118
| ~ spl2_97
| spl2_109
| spl2_286
| spl2_123
| ~ spl2_185
| ~ spl2_362
| spl2_250
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s4331,s1240,s2499,s2541,s2795,s4142,s821,s6196,s4584,s539,s955,s694,s4382,s4386,s1236,s4648,s4936,s4787,s449,s4486,s6194,s3858,s4596,s4805,s861,s1238,s492,s318,s15,s5916,s308,s1112,s387,s5828,s5827,s52,s152,s429,s3960]) ).
cnf(s6228,plain,
( ~ spl2_192
| ~ spl2_102
| ~ spl2_421
| ~ spl2_98
| spl2_128
| spl2_123
| ~ spl2_306
| ~ spl2_133 ),
inference(rat,[],[s5900,s4808,s4830,s2575,s1756,s3318,s4592]) ).
cnf(s6229,plain,
( ~ spl2_95
| spl2_106
| spl2_4
| spl2_118
| ~ spl2_97
| spl2_109
| ~ spl2_17
| ~ spl2_185
| ~ spl2_362
| spl2_45
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s1235,s4755,s3478,s4836,s1458,s5900,s3154,s955,s3554,s4382,s1236,s4648,s4936,s4787,s4486,s539,s4829,s694,s585,s5877,s2393,s681,s3752,s1836,s4838,s2505,s6227,s256,s936,s4417,s941,s899,s663,s1316,s5827,s52,s4805,s861,s1238,s6228,s152,s1273,s112,s387,s5828,s492,s318,s15,s5916,s308,s1346]) ).
cnf(s6230,plain,
( spl2_106
| spl2_4
| spl2_118
| ~ spl2_97
| spl2_109
| ~ spl2_17
| ~ spl2_185
| ~ spl2_362
| spl2_45
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s3997,s6229,s1238,s6228,s152,s1346,s492,s318,s15,s5916,s308,s112,s387,s5828,s1273,s385]) ).
cnf(s6231,plain,
( spl2_192
| ~ spl2_227
| ~ spl2_232
| ~ spl2_95
| ~ spl2_208
| ~ spl2_106
| spl2_4
| spl2_118
| spl2_107
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_139 ),
inference(rat,[],[s4788,s2155,s3577,s4709,s4585,s2819,s1236,s2657,s1235,s6188,s955,s2271,s449,s1467,s3669,s6194,s1238,s941,s15,s5916,s663,s5901,s539,s4468,s5522,s821,s5523,s112,s1346,s5428,s4416,s322,s5827,s52]) ).
cnf(s6232,plain,
( spl2_4
| spl2_118
| ~ spl2_97
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_45
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s4331,s2499,s4596,s3784,s5154,s831,s955,s6143,s5887,s4811,s4885,s1743,s6231,s1240,s2541,s4142,s539,s5523,s5522,s4805,s5832,s322,s4807,s5901,s6230,s385,s5827,s52,s941,s15,s5916,s1346,s1637,s1112,s112,s387,s5828]) ).
cnf(s6233,plain,
( ~ spl2_194
| ~ spl2_217
| spl2_422
| ~ spl2_232
| spl2_393
| ~ spl2_4
| spl2_109
| spl2_39
| spl2_250
| spl2_139 ),
inference(rat,[],[s4585,s2819,s4644,s1236,s513,s4382,s6202,s3858]) ).
cnf(s6234,plain,
( ~ spl2_183
| ~ spl2_95
| ~ spl2_232
| ~ spl2_208
| spl2_393
| ~ spl2_4
| ~ spl2_389
| spl2_109
| spl2_278
| ~ spl2_185
| spl2_39
| spl2_250
| ~ spl2_306
| spl2_31
| spl2_139 ),
inference(rat,[],[s3554,s1236,s3154,s2819,s657,s6200,s4838,s2505,s6233,s955,s2006,s1467,s3669]) ).
cnf(s6235,plain,
( spl2_353
| ~ spl2_208
| ~ spl2_4
| ~ spl2_98
| spl2_406
| ~ spl2_362
| ~ spl2_133 ),
inference(rat,[],[s2663,s2935,s2898,s4076,s831]) ).
cnf(s6236,plain,
( spl2_118
| ~ spl2_97
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| spl2_39
| ~ spl2_362
| spl2_45
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s3554,s1236,s3154,s2819,s657,s6200,s4838,s2505,s5436,s5832,s6234,s3669,s1238,s1743,s4885,s4811,s6143,s6235,s4805,s4807,s5901,s152,s5428,s2827,s3080,s6232,s941,s899,s15,s5916,s1346,s1637,s1112,s1316,s112,s387,s5828]) ).
cnf(s6237,plain,
( ~ spl2_97
| spl2_109
| ~ spl2_20
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s6228,s1238,s152,s3997,s322,s385,s5827,s52,s4417,s4889,s3080,s134,s6106,s6236,s112,s387,s5828,s4738,s4474,s5639,s4735,s645,s3797,s1346,s17,s1421,s492,s318,s15,s5916,s308]) ).
cnf(s6238,plain,
( ~ spl2_224
| spl2_147
| ~ spl2_329
| ~ spl2_9
| spl2_118
| spl2_10
| spl2_97
| spl2_109
| spl2_286
| ~ spl2_185
| spl2_369
| ~ spl2_362
| ~ spl2_306
| spl2_31 ),
inference(rat,[],[s4331,s1240,s2499,s2541,s4761,s4142,s821,s6196,s4584,s4830,s2271,s539,s5906,s4814,s681,s3473,s449,s4885]) ).
cnf(s6239,plain,
( spl2_147
| ~ spl2_386
| ~ spl2_329
| ~ spl2_183
| ~ spl2_9
| spl2_118
| spl2_10
| spl2_97
| spl2_109
| spl2_286
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_250
| ~ spl2_306
| spl2_31 ),
inference(rat,[],[s5836,s955,s493,s4723,s4758,s4746,s1235,s6238,s449]) ).
cnf(s6240,plain,
( ~ spl2_245
| ~ spl2_329
| spl2_118
| spl2_10
| spl2_97
| spl2_109
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_250
| ~ spl2_306
| spl2_31 ),
inference(rat,[],[s2543,s1240,s681,s6068,s4814,s4827,s5906,s539,s2271,s1235,s4758,s4076,s4830,s955,s6143,s5887,s5828]) ).
cnf(s6241,plain,
( ~ spl2_329
| ~ spl2_183
| spl2_186
| ~ spl2_95
| ~ spl2_102
| ~ spl2_9
| spl2_118
| spl2_10
| spl2_97
| spl2_109
| spl2_286
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_250
| ~ spl2_306
| ~ spl2_133
| spl2_31 ),
inference(rat,[],[s6212,s6196,s4836,s4584,s5900,s955,s4671,s4758,s4794,s1235,s6239,s6238,s4885,s449,s4811,s6240]) ).
cnf(s6242,plain,
( spl2_194
| ~ spl2_95
| ~ spl2_421
| spl2_97
| ~ spl2_17
| ~ spl2_185
| ~ spl2_18 ),
inference(rat,[],[s2384,s5829,s539,s3749,s3752,s3698,s4838,s2505,s899,s886]) ).
cnf(s6243,plain,
( ~ spl2_183
| ~ spl2_194
| spl2_186
| ~ spl2_95
| ~ spl2_102
| ~ spl2_9
| spl2_118
| spl2_10
| spl2_97
| spl2_109
| spl2_286
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_250
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_322 ),
inference(rat,[],[s4596,s6241,s861]) ).
cnf(s6244,plain,
( ~ spl2_95
| ~ spl2_102
| spl2_4
| spl2_118
| spl2_97
| spl2_128
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_45
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_322 ),
inference(rat,[],[s4331,s1240,s2499,s2541,s4761,s539,s4142,s821,s5035,s6196,s4596,s4584,s862,s449,s4830,s112,s6187,s3318,s6228,s3316,s1238,s6243,s6242,s281,s936,s4417,s941,s1346,s663,s5917,s1273,s5827,s6225,s4130]) ).
cnf(s6245,plain,
( ~ spl2_183
| spl2_182
| ~ spl2_194
| spl2_95
| spl2_393
| ~ spl2_102
| ~ spl2_9
| spl2_118
| spl2_10
| spl2_97
| spl2_128
| spl2_109
| spl2_286
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_250
| ~ spl2_306
| spl2_31
| spl2_322 ),
inference(rat,[],[s4486,s4755,s2251,s4836,s955,s4602,s2819,s4758,s1236,s1235,s4386,s6238,s449,s4811,s253,s6240,s718,s5674,s4596,s3997,s861,s3550,s111]) ).
cnf(s6246,plain,
( ~ spl2_194
| spl2_95
| spl2_393
| ~ spl2_102
| spl2_4
| spl2_118
| spl2_29
| spl2_97
| spl2_128
| spl2_109
| spl2_286
| spl2_123
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_250
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s4331,s1240,s2499,s2541,s4761,s539,s4142,s821,s5035,s6196,s4596,s4584,s862,s449,s4830,s112,s6187,s3318,s6228,s3316,s1238,s6245,s3960,s5917,s1273,s5827]) ).
cnf(s6247,plain,
( spl2_106
| spl2_4
| spl2_118
| spl2_97
| spl2_128
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_45
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s1240,s1762,s4571,s3778,s6212,s4836,s1238,s3318,s2819,s4830,s1236,s4584,s4386,s5035,s4885,s449,s5743,s4671,s4134,s281,s1836,s936,s681,s4484,s4814,s694,s4827,s5906,s539,s3698,s2505,s6246,s6244,s5144,s103,s152,s941,s899,s756,s1346,s663,s5917,s5827,s6225,s4130]) ).
cnf(s6248,plain,
( spl2_4
| spl2_118
| spl2_97
| spl2_128
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| ~ spl2_362
| spl2_45
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s4331,s1240,s2499,s2541,s4761,s4142,s821,s539,s4596,s5523,s5550,s6242,s112,s111,s4671,s322,s4807,s5913,s5901,s6247,s5827,s1273,s1346,s5917,s6225,s4130]) ).
cnf(s6249,plain,
( ~ spl2_102
| ~ spl2_194
| spl2_393
| spl2_95
| ~ spl2_4
| spl2_118
| spl2_29
| spl2_128
| spl2_109
| spl2_286
| spl2_123
| spl2_39
| spl2_31
| spl2_139 ),
inference(rat,[],[s493,s895,s1238,s1236,s4644,s1750,s4386,s6218,s718,s449,s4672,s5743,s112,s2827,s111]) ).
cnf(s6250,plain,
( ~ spl2_194
| spl2_393
| spl2_95
| ~ spl2_4
| spl2_118
| spl2_29
| spl2_128
| spl2_109
| spl2_286
| spl2_123
| spl2_274
| spl2_39
| spl2_31
| spl2_139 ),
inference(rat,[],[s3240,s681,s539,s2764,s4827,s4596,s4465,s5901,s152,s6249,s5917,s111]) ).
cnf(s6251,plain,
( ~ spl2_231
| spl2_154
| ~ spl2_428
| spl2_393
| ~ spl2_4
| spl2_39 ),
inference(rat,[],[s4644,s895,s2107]) ).
cnf(s6252,plain,
( spl2_118
| spl2_97
| spl2_128
| spl2_109
| ~ spl2_17
| ~ spl2_185
| spl2_369
| spl2_39
| ~ spl2_362
| spl2_45
| ~ spl2_18
| ~ spl2_306
| ~ spl2_133
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s4644,s4585,s4849,s657,s3154,s3554,s1236,s6251,s493,s1238,s3318,s4830,s1832,s1858,s1235,s3329,s152,s4885,s5913,s5743,s4671,s4134,s1836,s681,s4829,s4814,s4827,s5826,s5906,s539,s3749,s3698,s4838,s2505,s6250,s5428,s111,s3080,s4797,s6248,s899,s756,s1346,s663,s886,s5917,s6225,s4130]) ).
cnf(s6253,plain,
( spl2_109
| ~ spl2_20
| ~ spl2_306
| ~ spl2_133
| ~ spl2_21
| spl2_31
| spl2_322
| spl2_139 ),
inference(rat,[],[s1237,s4329,s2556,s4468,s2494,s821,s694,s3960,s4076,s3778,s5827,s4838,s2782,s4484,s4890,s3080,s3749,s4778,s134,s3058,s6252,s6225,s4130,s886,s6237,s492,s318,s308,s4738,s4474,s5639,s4735,s15,s5916,s645,s3797,s17,s1421]) ).
cnf(s6254,plain,
( ~ spl2_155
| ~ spl2_112 ),
inference(rat,[],[s2663,s3321,s2970,s152,s4142,s358,s322,s3778,s898,s5827,s52,s1337,s4890,s4416,s4417,s4480,s3080,s4076,s54,s2782,s5448,s1066,s6253,s17,s1421,s4474,s6226,s15,s3206,s1687,s308,s5916,s934,s6185,s6124,s687,s174]) ).
cnf(s6255,plain,
( ~ spl2_97
| ~ spl2_306
| spl2_4
| ~ spl2_17
| ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4833,s2575,s954,s4808,s955,s1756,s5887,s6194,s970,s4811,s449,s2397,s4417,s3792,s112,s6205,s4805,s385,s387,s174,s6254,s2423,s1346,s1687,s934,s1273,s52,s5828,s5921,s941,s15,s5916]) ).
cnf(s6256,plain,
( spl2_118
| ~ spl2_42
| ~ spl2_306
| spl2_4
| ~ spl2_17
| spl2_128
| ~ spl2_133
| spl2_109
| spl2_155 ),
inference(rat,[],[s1750,s1238,s152,s2575,s493,s322,s4808,s4416,s4480,s2397,s449,s4811,s5900,s5887,s955,s954,s1273,s5921,s5827,s52]) ).
cnf(s6257,plain,
( ~ spl2_306
| spl2_4
| ~ spl2_17
| ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5909,s4811,s955,s449,s4382,s4386,s1236,s4732,s718,s4838,s645,s2253,s3336,s166,s5144,s103,s152,s322,s3792,s111,s3749,s124,s3058,s5794,s6256,s4130,s886,s6255,s663,s941,s6254,s2423,s1687,s934,s492,s318,s308,s174,s15,s5916,s5827,s52,s5828,s5921]) ).
cnf(s6258,plain,
( ~ spl2_97
| spl2_306
| spl2_4
| ~ spl2_17
| ~ spl2_337
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4417,s5433,s3792,s6205,s385,s1687]) ).
cnf(s6259,plain,
( spl2_4
| ~ spl2_17
| ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s166,s103,s152,s322,s111,s124,s5794,s4966,s4130,s6258,s1119,s3337,s947,s6257,s5828,s5827,s5921,s52,s1687,s934,s15,s5916]) ).
cnf(s6260,plain,
( spl2_42
| spl2_268
| ~ spl2_232
| ~ spl2_306
| ~ spl2_185
| ~ spl2_18
| spl2_109 ),
inference(rat,[],[s2513,s1235,s2505,s4832,s1832,s3858,s1458,s4585,s4482,s4833]) ).
cnf(s6261,plain,
( spl2_118
| spl2_29
| ~ spl2_232
| ~ spl2_306
| ~ spl2_185
| ~ spl2_50
| ~ spl2_4
| ~ spl2_18
| spl2_109
| spl2_20
| spl2_155 ),
inference(rat,[],[s4811,s5887,s28,s955,s2236,s954,s6260,s970,s449,s2397]) ).
cnf(s6262,plain,
( spl2_31
| ~ spl2_97
| ~ spl2_306
| ~ spl2_17
| ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4382,s1236,s4829,s931,s585,s4850,s3574,s681,s3752,s4305,s4883,s4838,s2505,s6202,s2280,s1756,s2126,s1238,s955,s5443,s6234,s5887,s6260,s4677,s3792,s4811,s970,s4772,s5484,s1386,s4807,s152,s2827,s1385,s112,s5794,s1316,s387,s5828,s1442,s308,s1346,s3825,s899,s756,s941,s1112,s174,s6261,s6204,s1687,s934,s4805,s2423,s645,s3336,s5428,s3080,s6259,s15,s5916,s6254]) ).
cnf(s6263,plain,
( ~ spl2_97
| ~ spl2_306
| ~ spl2_17
| ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4509,s3052,s28,s6262,s6261,s6204,s4805,s6254,s2423,s1687,s934,s645,s3336,s5428,s3080,s6259,s15,s5916,s663]) ).
cnf(s6264,plain,
( spl2_118
| spl2_31
| ~ spl2_42
| ~ spl2_50
| spl2_155 ),
inference(rat,[],[s5909,s4811,s955,s449,s954,s2397]) ).
cnf(s6265,plain,
( spl2_97
| ~ spl2_50
| ~ spl2_4
| spl2_39
| ~ spl2_21
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s718,s2393,s4838,s4645,s3749,s3058,s6264,s3792,s4797,s6082,s4130,s886,s6254,s1687,s934,s15,s5916,s645,s3336,s5428]) ).
cnf(s6266,plain,
( ~ spl2_98
| ~ spl2_118
| spl2_147
| spl2_10
| ~ spl2_50
| ~ spl2_4
| ~ spl2_17
| ~ spl2_133 ),
inference(rat,[],[s4807,s152,s5484,s2827,s1346]) ).
cnf(s6267,plain,
( ~ spl2_17
| ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2822,s49,s3377,s28,s5828,s387,s112,s6266,s2204,s977,s2396,s47,s4782,s134,s4779,s449,s5433,s3205,s6263,s1112,s6265,s3080,s6259,s3825,s174,s1687,s934,s15,s5916]) ).
cnf(s6268,plain,
( ~ spl2_21
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3858,s4915,s4382,s2333,s3154,s955,s1236,s688,s1150,s1157,s3337,s947,s6204,s4805,s1556,s4130,s513,s2393,s2234,s52,s1169,s1171,s933,s17,s6267,s15,s1687,s5916,s934,s2423]) ).
cnf(s6269,plain,
( spl2_4
| ~ spl2_17
| spl2_13
| ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s15,s2223,s1279,s6187,s745,s449,s1317,s2397,s4794,s4417,s387,s3792,s5828,s6205,s385,s5827,s5921,s52,s6254]) ).
cnf(s6270,plain,
( ~ spl2_18
| ~ spl2_4
| ~ spl2_17
| spl2_13
| ~ spl2_306
| spl2_21
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2397,s4775,s449,s2329,s6187,s1619,s62,s28,s745,s54,s936,s3248,s3080,s3825,s2223,s6254,s4813]) ).
cnf(s6271,plain,
( ~ spl2_17
| ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5644,s4778,s1244,s28,s1418,s636,s4912,s6134,s4593,s388,s15,s6270,s6269,s663,s6254,s2423,s1112,s174,s4750,s2413,s6268]) ).
cnf(s6272,plain,
( ~ spl2_194
| spl2_278
| spl2_13
| ~ spl2_232
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s4226,s3949,s2200]) ).
cnf(s6273,plain,
( spl2_194
| ~ spl2_105
| ~ spl2_18
| ~ spl2_98
| spl2_103
| spl2_118
| spl2_31
| ~ spl2_12
| ~ spl2_133
| ~ spl2_130 ),
inference(rat,[],[s679,s6138,s901,s2505]) ).
cnf(s6274,plain,
( spl2_4
| ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4936,s4787,s5608,s765,s1705,s4226,s6272,s3858,s3960,s2200,s6273,s1592,s4585,s1992,s103,s152,s4807,s1519,s1238,s1743,s5900,s4885,s955,s443,s4383,s900,s941,s15,s112,s4593,s4677,s4671,s5828,s38,s6205,s385,s5921,s6254,s4813,s1112,s174,s4805,s2423,s2188,s4750,s2413,s6268,s1727,s17,s6271]) ).
cnf(s6275,plain,
( spl2_31
| spl2_118
| ~ spl2_18
| ~ spl2_4
| ~ spl2_12
| ~ spl2_232
| ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| ~ spl2_112 ),
inference(rat,[],[s903,s4490,s899,s4645,s6272,s3858,s6273,s1280,s103,s152,s4807,s1519,s1574,s1238,s4903,s745,s1743,s2340,s4885,s112,s4274,s6187,s4671,s6134,s6254,s4813,s1112,s174,s2188,s1727,s941,s6204,s2223,s4750,s2413]) ).
cnf(s6276,plain,
( spl2_118
| ~ spl2_18
| ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s513,s6123,s2014,s28,s6275,s4949,s4805,s2423,s4750,s2413,s6268,s17,s6271,s6274,s941]) ).
cnf(s6277,plain,
( spl2_31
| ~ spl2_118
| ~ spl2_4
| spl2_13
| ~ spl2_97
| ~ spl2_133
| ~ spl2_112 ),
inference(rat,[],[s3908,s3905,s4131,s5915,s6134,s5828]) ).
cnf(s6278,plain,
( ~ spl2_18
| ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6123,s3052,s28,s6277,s6276,s4805,s2423,s4750,s2413,s6268,s6274]) ).
cnf(s6279,plain,
( ~ spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s1484,s4507,s1556,s1459,s449,s2397,s4778,s3566,s4879,s111,s1244,s28,s1294,s636,s4912,s6134,s4593,s388,s15,s6278,s6274,s4750,s4805,s1112,s2413,s174,s6254,s2423,s6268,s1315]) ).
cnf(s6280,plain,
( ~ spl2_17
| ~ spl2_239
| spl2_50
| spl2_118
| ~ spl2_306
| ~ spl2_133
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s4793,s1574,s3798,s4416,s663,s6254]) ).
cnf(s6281,plain,
( ~ spl2_194
| spl2_275
| ~ spl2_102
| spl2_192
| spl2_107
| ~ spl2_12
| ~ spl2_239
| ~ spl2_287
| ~ spl2_157
| spl2_118
| ~ spl2_32
| ~ spl2_18
| ~ spl2_212
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s931,s4490,s513,s4914,s4723,s4350,s4794,s2793,s4912,s318,s492,s4486,s697,s2251,s2239,s1853,s4602,s4787,s1235,s1236,s4936,s3476,s4485,s5608,s679,s4226,s4596,s3960,s2200,s174,s446,s6254,s4813,s112]) ).
cnf(s6282,plain,
( ~ spl2_185
| ~ spl2_22
| ~ spl2_105
| ~ spl2_102
| spl2_192
| spl2_107
| ~ spl2_12
| ~ spl2_239
| ~ spl2_287
| ~ spl2_157
| spl2_118
| ~ spl2_32
| ~ spl2_18
| ~ spl2_212
| ~ spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s3117,s679,s3749,s901,s4838,s6281,s1703]) ).
cnf(s6283,plain,
( ~ spl2_194
| spl2_428
| spl2_181
| ~ spl2_288
| ~ spl2_102
| spl2_118
| ~ spl2_18
| spl2_109
| spl2_132
| spl2_139 ),
inference(rat,[],[s492,s4486,s318,s4787,s4912,s4936,s4829,s3868,s3960]) ).
cnf(s6284,plain,
( spl2_118
| ~ spl2_18
| spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s3117,s1331,s679,s2697,s901,s2505,s6283,s681,s4410,s2317,s4636,s645,s6282,s4750,s332,s103,s152,s4807,s1467,s1238,s1743,s3891,s112,s4671,s4902,s1727,s17,s6280,s4885,s449,s4811,s4584,s5887,s955,s954,s6264,s174,s6254,s886,s5828,s6082,s5917,s6225,s4130]) ).
cnf(s6285,plain,
( spl2_4
| ~ spl2_118
| spl2_29
| spl2_31
| ~ spl2_306
| spl2_21
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4773,s1666,s5673,s2396,s17,s831,s977,s663,s4731,s4597,s4756,s2253,s2252,s3052,s166,s745,s103,s152,s4793,s322,s1574,s111,s124,s5827,s6254,s5794,s5828]) ).
cnf(s6286,plain,
( ~ spl2_18
| spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4793,s1574,s745,s111,s2236,s2291,s6285,s1383,s5794,s6284,s5828,s6225,s6082,s4130]) ).
cnf(s6287,plain,
( spl2_4
| spl2_286
| spl2_31
| spl2_118
| spl2_208
| ~ spl2_15
| spl2_97
| ~ spl2_133
| spl2_109
| spl2_155 ),
inference(rat,[],[s493,s1238,s111,s3316,s4794,s6187,s5743,s4812,s449,s4509,s1317,s152,s3798,s745,s4807,s1279,s5917,s5827,s52,s17,s4902,s5919]) ).
cnf(s6288,plain,
( ~ spl2_239
| ~ spl2_17
| spl2_118
| ~ spl2_306
| ~ spl2_133
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s6280,s2397,s6254]) ).
cnf(s6289,plain,
( spl2_31
| spl2_118
| ~ spl2_15
| spl2_97
| ~ spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| ~ spl2_112 ),
inference(rat,[],[s1877,s152,s76,s2827,s874,s112,s5743,s449,s6288,s6287,s663,s1346,s17,s4902,s6254,s4813,s886,s5919,s1573]) ).
cnf(s6290,plain,
( spl2_118
| ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2757,s4786,s4597,s3649,s2307,s4919,s2538,s6213,s1024,s4788,s3254,s2161,s1769,s1253,s1605,s5246,s815,s567,s5482,s4847,s688,s4507,s1459,s152,s449,s1877,s4750,s2397,s1383,s1339,s3567,s3566,s1616,s2291,s4797,s4879,s2236,s111,s28,s1294,s5921,s6289,s174,s6254,s4813,s1315,s15,s6286,s6279,s6268,s2423]) ).
cnf(s6291,plain,
( spl2_31
| ~ spl2_118
| ~ spl2_15
| spl2_97
| ~ spl2_133
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5846,s1574,s1666,s4416,s4773,s141,s636,s4593,s1885,s3291,s1717,s1383,s17,s5794,s4902,s5828,s5919]) ).
cnf(s6292,plain,
( ~ spl2_306
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5235,s3048,s5482,s1383,s4507,s2291,s3052,s4879,s111,s28,s1294,s5921,s6291,s6290,s15,s6286,s6279,s174,s2423,s6268]) ).
cnf(s6293,plain,
( ~ spl2_17
| ~ spl2_386
| spl2_103
| ~ spl2_9
| spl2_29
| ~ spl2_421
| spl2_31
| ~ spl2_18
| spl2_13
| spl2_10
| spl2_118
| spl2_306
| ~ spl2_133
| spl2_109
| spl2_155 ),
inference(rat,[],[s1165,s645,s1832,s4759,s1235,s589,s539,s5522,s4807,s1992,s1238,s1756,s4808,s2575,s4585,s1592,s2320,s955,s5887,s4591,s970,s443,s4811,s1279,s449,s745,s6264,s2397,s1317,s4416,s1346,s900,s5828,s112,s5710,s150]) ).
cnf(s6294,plain,
( spl2_106
| ~ spl2_12
| spl2_103
| spl2_31
| ~ spl2_18
| spl2_13
| ~ spl2_232
| spl2_118
| ~ spl2_133
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s4936,s4787,s4636,s765,s899,s6272,s3960,s6273,s103,s152,s174,s4813,s112,s5710,s150]) ).
cnf(s6295,plain,
( ~ spl2_194
| ~ spl2_219
| ~ spl2_75
| ~ spl2_232
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s4630,s679,s1331,s4226,s3858,s2200]) ).
cnf(s6296,plain,
( ~ spl2_157
| spl2_185
| ~ spl2_208
| spl2_147
| ~ spl2_12
| ~ spl2_98
| spl2_306
| spl2_109
| spl2_139 ),
inference(rat,[],[s1238,s5801,s1467,s5900]) ).
cnf(s6297,plain,
( spl2_4
| spl2_31
| ~ spl2_18
| ~ spl2_97
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4759,s1235,s5070,s2545,s955,s6296,s645,s1236,s899,s4380,s4646,s4575,s679,s6138,s2505,s6295,s539,s5550,s4807,s6294,s4591,s4274,s4402,s5919,s4902,s17,s6293,s4794,s4677,s3792,s385,s5827,s52,s1273,s6254,s4813,s947,s6292,s1112,s174,s4805,s2423,s112,s5710,s150,s4750,s2413,s6268]) ).
cnf(s6298,plain,
( ~ spl2_17
| ~ spl2_4
| spl2_31
| ~ spl2_18
| spl2_13
| ~ spl2_232
| spl2_10
| spl2_118
| spl2_306
| ~ spl2_133
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s772,s3574,s4481,s4305,s4787,s2505,s5132,s6272,s2062,s2329,s5197,s1170,s4807,s1667,s743,s62,s745,s152,s6264,s5433,s54,s3248,s2827,s3080,s3825,s1346,s6254,s4813,s112,s5710,s150]) ).
cnf(s6299,plain,
( ~ spl2_194
| ~ spl2_106
| ~ spl2_75
| ~ spl2_232
| spl2_10
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s539,s4827,s6295,s4465]) ).
cnf(s6300,plain,
( ~ spl2_185
| spl2_211
| ~ spl2_321
| ~ spl2_389
| ~ spl2_32
| ~ spl2_18
| spl2_13 ),
inference(rat,[],[s681,s700,s1836,s899]) ).
cnf(s6301,plain,
( spl2_31
| ~ spl2_18
| ~ spl2_97
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2819,s4759,s1897,s1236,s1235,s1933,s2545,s4883,s955,s681,s6296,s4410,s645,s6300,s4575,s679,s6138,s2505,s6299,s4807,s6294,s1574,s4793,s745,s2340,s449,s4402,s4902,s17,s6298,s4591,s4274,s6134,s6297,s112,s1316,s5710,s5828,s6254,s4813,s6292,s1112,s174,s4805,s2423,s150,s4750,s2413,s6268]) ).
cnf(s6302,plain,
( ~ spl2_18
| ~ spl2_97
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s1235,s4759,s645,s2300,s5900,s2196,s4507,s955,s4915,s1484,s2332,s6299,s1556,s4497,s4591,s1459,s2393,s1573,s449,s2012,s4807,s2397,s5428,s4796,s3566,s2225,s111,s28,s1294,s5921,s6301,s6254,s1315,s6292,s1112,s174,s4805,s2423,s4750,s2413,s6268]) ).
cnf(s6303,plain,
( spl2_31
| ~ spl2_15
| spl2_13
| ~ spl2_97
| ~ spl2_133
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6186,s745,s1280,s1279,s112,s17,s5827,s52,s387,s4902,s6134,s5828,s5919,s152,s4807,s1573,s1112,s174]) ).
cnf(s6304,plain,
( ~ spl2_97
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2726,s1459,s1232,s1556,s28,s5921,s6303,s1343,s4593,s15,s6302,s2188,s4750,s1112,s2413,s174,s6254,s398,s6268,s947,s6292]) ).
cnf(s6305,plain,
( spl2_128
| ~ spl2_22
| spl2_180
| ~ spl2_13
| ~ spl2_102
| ~ spl2_17
| ~ spl2_9
| spl2_50
| spl2_360
| ~ spl2_42
| ~ spl2_130
| ~ spl2_112 ),
inference(rat,[],[s3778,s821,s4890,s805,s6213,s5246]) ).
cnf(s6306,plain,
( ~ spl2_17
| ~ spl2_9
| spl2_360
| ~ spl2_18
| spl2_97
| spl2_118
| spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4924,s2316,s1238,s4912,s2730,s318,s492,s6305,s3332,s4585,s2322,s4750,s563,s332,s152,s741,s322,s1574,s4416,s4813,s886,s6264,s6082,s4966,s1347,s5900,s955,s954,s4130,s6254,s947]) ).
cnf(s6307,plain,
( spl2_103
| ~ spl2_146
| ~ spl2_105
| spl2_156
| ~ spl2_153
| ~ spl2_12
| ~ spl2_216
| ~ spl2_157
| spl2_31
| ~ spl2_18
| spl2_118
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4814,s5906,s681,s539,s3477,s4380,s1933,s1236,s4602,s2251,s1705,s3476,s1235,s679,s4723,s4226,s4596,s3960,s2200,s4794,s6273,s111,s174,s6254,s4813,s449,s4811,s5887,s112,s4671,s1727]) ).
cnf(s6308,plain,
( ~ spl2_13
| ~ spl2_12
| ~ spl2_9
| spl2_31
| ~ spl2_42
| ~ spl2_18
| spl2_118
| spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4318,s2161,s4786,s1769,s4597,s2174,s3778,s1903,s821,s805,s5246,s572,s492,s603,s318,s4912,s741,s456,s1574,s6307,s1592,s103,s152,s4585,s1877,s2322,s4750,s4813,s4966,s4584,s4274,s4593,s773,s5917,s6225,s1347,s3221,s4215,s947,s4373,s5900,s955,s954,s6254]) ).
cnf(s6309,plain,
( spl2_4
| spl2_360
| ~ spl2_18
| spl2_97
| spl2_118
| spl2_306
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s539,s6171,s5550,s899,s1238,s111,s6296,s1467,s322,s4807,s332,s6308,s112,s4671,s1727,s17,s6306,s5827,s1273,s174,s886,s5917,s6225,s5900,s4811,s5887,s955,s954,s4130,s6254,s6082]) ).
cnf(s6310,plain,
( ~ spl2_18
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5635,s2505,s681,s4465,s4814,s4827,s5906,s539,s5701,s4591,s1877,s4807,s152,s4007,s4797,s2973,s111,s112,s1574,s1619,s17,s741,s745,s3080,s2236,s6309,s4593,s5917,s773,s4966,s6264,s6225,s5939,s6082,s4130,s6254,s2423,s4813,s6268,s947,s6292,s6304]) ).
cnf(s6311,plain,
( spl2_103
| spl2_386
| ~ spl2_17
| spl2_31
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_155 ),
inference(rat,[],[s449,s5743,s2397,s4794,s4416,s111]) ).
cnf(s6312,plain,
( ~ spl2_239
| spl2_154
| ~ spl2_116
| ~ spl2_219
| ~ spl2_38
| ~ spl2_25
| ~ spl2_217
| spl2_197
| ~ spl2_24
| spl2_97
| ~ spl2_149
| spl2_21
| spl2_109
| ~ spl2_112 ),
inference(rat,[],[s4659,s4226,s2393,s2200,s674,s2505,s3698,s3537,s1933,s1236,s895,s1897,s1235,s589,s1433,s4849,s607,s174,s6254,s3550]) ).
cnf(s6313,plain,
( ~ spl2_194
| ~ spl2_103
| ~ spl2_38
| spl2_21
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s704,s681,s679,s2393,s2764,s4226,s718,s4596,s2200,s4677]) ).
cnf(s6314,plain,
( spl2_4
| ~ spl2_217
| ~ spl2_102
| ~ spl2_24
| ~ spl2_127
| spl2_31
| ~ spl2_15
| spl2_97
| spl2_118
| ~ spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4762,s704,s1235,s1157,s304,s2171,s2384,s1236,s4787,s681,s1331,s3537,s765,s725,s3581,s3698,s2505,s6313,s6311,s539,s6014,s1285,s49,s1317,s745,s1279,s6287,s5827,s52,s1273,s4813,s1573,s5828,s2065,s2797,s4385,s17,s4902,s5919,s6254]) ).
cnf(s6315,plain,
( ~ spl2_13
| spl2_31
| spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4277,s2512,s4814,s2248,s5906,s539,s1236,s6312,s895,s493,s1897,s1238,s1235,s2469,s3551,s1433,s3154,s4891,s4848,s2505,s513,s6313,s607,s1285,s449,s5846,s5743,s1574,s112,s3792,s111,s2827,s2377,s6314,s955,s620,s2443,s429,s152,s4593,s1877,s1885,s5655,s6254,s2423,s4813,s6268,s947,s6292,s3550,s6304,s1346,s17,s4902,s5919,s15,s6310]) ).
cnf(s6316,plain,
( ~ spl2_42
| ~ spl2_15
| spl2_118
| ~ spl2_149
| spl2_155 ),
inference(rat,[],[s4593,s5917,s773,s6225]) ).
cnf(s6317,plain,
( spl2_118
| ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3649,s4786,s4919,s2757,s2538,s2634,s6213,s4741,s1024,s2129,s4788,s3254,s2161,s1769,s1253,s1605,s5246,s4836,s1359,s807,s560,s1238,s5482,s4847,s657,s688,s1697,s546,s4506,s1459,s1339,s2726,s4796,s1616,s2291,s4797,s2973,s111,s2443,s28,s1294,s5921,s152,s4593,s6315,s1877,s1885,s4750,s3567,s6316,s15,s6310,s6304,s174,s6254,s2423,s4813,s6268,s1315,s947,s6292]) ).
cnf(s6318,plain,
( ~ spl2_97
| spl2_31
| ~ spl2_118
| ~ spl2_133
| spl2_21
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6277,s4750,s6205,s2413]) ).
cnf(s6319,plain,
( ~ spl2_95
| spl2_39
| spl2_97
| ~ spl2_118 ),
inference(rat,[],[s4797,s124]) ).
cnf(s6320,plain,
( ~ spl2_17
| ~ spl2_349
| ~ spl2_366
| ~ spl2_476
| spl2_322
| spl2_15
| spl2_97
| ~ spl2_118
| ~ spl2_149
| spl2_21
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s47,s5881,s145,s4890,s2396,s4497,s3778,s831,s741,s4793,s4772,s4731,s1574,s3792,s111,s6319,s3825,s15]) ).
cnf(s6321,plain,
( spl2_31
| ~ spl2_118
| spl2_306
| ~ spl2_133
| spl2_21
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s741,s1574,s1666,s111,s2396,s6319,s4782,s1280,s449,s112,s4402,s4773,s4671,s4902,s5673,s1727,s17,s6320,s821,s805,s977,s4597,s2253,s2252,s1119,s166,s103,s152,s1877,s4130,s3291,s15,s1717,s6291,s6318,s1383,s5794,s5828,s2423,s4813,s947]) ).
cnf(s6322,plain,
( ~ spl2_97
| spl2_278
| ~ spl2_179
| spl2_393
| spl2_250
| ~ spl2_153
| spl2_42
| ~ spl2_118
| spl2_306
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s2819,s1236,s596,s2333,s3154,s4773,s4915,s1484,s1667,s6272,s4750,s4805,s2413,s6254,s947]) ).
cnf(s6323,plain,
( ~ spl2_133
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5482,s5235,s1433,s3048,s4593,s1885,s1383,s15,s3567,s2291,s6082,s3550,s6322,s2109,s2393,s2012,s5428,s1556,s3566,s3052,s2236,s111,s28,s1294,s5921,s6321,s6317,s947,s6292,s1315,s174,s2423,s6268]) ).
cnf(s6324,plain,
( ~ spl2_17
| spl2_50
| spl2_268
| spl2_147
| ~ spl2_306
| ~ spl2_18
| spl2_13 ),
inference(rat,[],[s1592,s2575,s3701,s4808,s76,s4889,s4480]) ).
cnf(s6325,plain,
( spl2_278
| spl2_211
| spl2_103
| ~ spl2_287
| ~ spl2_239
| ~ spl2_321
| spl2_13
| ~ spl2_32
| spl2_109 ),
inference(rat,[],[s1236,s1933,s1853,s4883,s539,s681,s4370,s700,s679]) ).
cnf(s6328,plain,
( ~ spl2_42
| ~ spl2_366
| ~ spl2_95
| ~ spl2_30
| ~ spl2_12
| spl2_250
| ~ spl2_306
| ~ spl2_98
| spl2_13
| spl2_118
| ~ spl2_120
| spl2_20
| spl2_155 ),
inference(rat,[],[s4788,s4608,s3254,s2183,s2160,s821,s5075,s805,s5939,s5900,s955,s4383]) ).
cnf(s6329,plain,
( ~ spl2_366
| ~ spl2_9
| ~ spl2_196
| ~ spl2_182
| ~ spl2_273
| ~ spl2_95
| ~ spl2_30
| ~ spl2_287
| ~ spl2_306
| ~ spl2_321
| ~ spl2_75
| ~ spl2_18
| spl2_13
| spl2_107
| ~ spl2_232
| ~ spl2_32
| spl2_118
| spl2_133
| spl2_109
| spl2_132
| spl2_20
| spl2_155 ),
inference(rat,[],[s4250,s831,s828,s2497,s2312,s1240,s821,s2672,s6196,s2674,s2171,s1237,s1235,s2522,s1832,s4652,s4585,s2499,s4833,s5383,s6328,s319,s112,s4305,s17,s6324,s2397,s449,s5900,s955,s4383,s443,s941]) ).
cnf(s6330,plain,
( spl2_366
| ~ spl2_182
| ~ spl2_12
| ~ spl2_387
| spl2_31
| spl2_21
| spl2_109
| ~ spl2_112 ),
inference(rat,[],[s2497,s831,s2499,s1240,s4639,s2307,s2672,s1730,s4597,s974,s977]) ).
cnf(s6331,plain,
( spl2_103
| ~ spl2_306
| ~ spl2_97
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4101,s2547,s1235,s1238,s1832,s2006,s4585,s34,s4833,s6329,s6328,s6330,s1331,s4630,s5701,s539,s1853,s4936,s1236,s4787,s1933,s1552,s4883,s681,s4410,s4636,s899,s6325,s679,s6138,s111,s4813,s319,s4591,s112,s4305,s2505,s6140,s4805,s387,s4584,s1112,s174,s4902,s17,s6324,s2397,s449,s5900,s955,s4383,s443,s941,s5828,s6254,s15,s4016,s6323,s2423,s4750,s2413,s6268]) ).
cnf(s6332,plain,
( ~ spl2_306
| ~ spl2_97
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4014,s6331,s17,s6324,s2397,s5900,s449,s955,s443,s4383,s941,s6254,s5828,s4750,s2413,s6268,s15,s4016,s6323,s2423]) ).
cnf(s6333,plain,
( ~ spl2_157
| ~ spl2_27
| ~ spl2_159
| spl2_50
| spl2_147
| spl2_4
| ~ spl2_17
| ~ spl2_95
| spl2_306
| spl2_194
| ~ spl2_98
| ~ spl2_75
| spl2_10
| spl2_118
| ~ spl2_120
| spl2_109 ),
inference(rat,[],[s772,s679,s4484,s4630,s645,s1331,s4759,s1832,s1235,s539,s4101,s6167,s2547,s1238,s4585,s2730,s5836,s5900,s34,s449,s2575,s1273]) ).
cnf(s6334,plain,
( spl2_268
| spl2_42
| ~ spl2_159
| spl2_147
| spl2_306
| spl2_194
| ~ spl2_98
| ~ spl2_18
| ~ spl2_120
| spl2_109 ),
inference(rat,[],[s645,s1165,s4759,s1832,s1235,s4101,s2547,s1238,s4585,s2730]) ).
cnf(s6335,plain,
( ~ spl2_185
| ~ spl2_27
| spl2_50
| ~ spl2_17
| spl2_103
| ~ spl2_321
| ~ spl2_18
| spl2_13
| ~ spl2_32 ),
inference(rat,[],[s700,s681,s772,s4883,s4484,s756,s899]) ).
cnf(s6336,plain,
( spl2_25
| ~ spl2_159
| spl2_147
| spl2_4
| ~ spl2_17
| spl2_103
| spl2_306
| spl2_194
| ~ spl2_98
| spl2_13
| spl2_15
| spl2_10
| ~ spl2_32
| spl2_118
| spl2_337
| ~ spl2_120
| spl2_21
| spl2_109
| spl2_20
| spl2_155 ),
inference(rat,[],[s4226,s700,s4321,s681,s4883,s3537,s1933,s1236,s5070,s6335,s6334,s954,s955,s6333,s743,s745,s15,s4591,s2505,s947,s111,s2397,s449]) ).
cnf(s6337,plain,
( ~ spl2_185
| spl2_42
| spl2_4
| ~ spl2_17
| spl2_103
| spl2_194
| ~ spl2_18 ),
inference(rat,[],[s4815,s681,s3752,s2384,s4883,s4838,s4482,s756,s2505,s111,s1273,s52]) ).
cnf(s6338,plain,
( spl2_366
| ~ spl2_195
| ~ spl2_211
| ~ spl2_382
| spl2_180
| ~ spl2_130
| spl2_21
| spl2_109 ),
inference(rat,[],[s1237,s3569,s2150,s2663,s4597,s2681,s977]) ).
cnf(s6339,plain,
( ~ spl2_345
| ~ spl2_195
| ~ spl2_211
| ~ spl2_382
| ~ spl2_130
| spl2_21
| spl2_109 ),
inference(rat,[],[s3569,s1237,s2663,s2150,s2689,s4597]) ).
cnf(s6340,plain,
( ~ spl2_368
| ~ spl2_366
| ~ spl2_250
| ~ spl2_217
| ~ spl2_156
| ~ spl2_386
| ~ spl2_75
| spl2_13
| ~ spl2_232
| ~ spl2_32
| spl2_118 ),
inference(rat,[],[s4788,s5724,s1016]) ).
cnf(s6341,plain,
( spl2_147
| spl2_4
| spl2_12
| ~ spl2_17
| ~ spl2_386
| spl2_103
| spl2_306
| spl2_194
| ~ spl2_98
| spl2_13
| spl2_15
| ~ spl2_232
| spl2_10
| ~ spl2_32
| spl2_118
| spl2_337
| spl2_133
| ~ spl2_130
| spl2_21
| spl2_109
| spl2_132
| spl2_20
| spl2_155 ),
inference(rat,[],[s2663,s2943,s4478,s4921,s4890,s1769,s3778,s5883,s821,s6340,s6339,s6338,s4864,s4787,s4937,s700,s585,s681,s4883,s3537,s1933,s1236,s5070,s6337,s2499,s5383,s4383,s954,s955,s2730,s5836,s513,s1238,s607,s4051,s1285,s3791,s6336,s2575,s1592,s1755,s2397,s449,s319,s15,s4591,s2505,s5908,s3905,s3908,s4131,s947,s3865,s1273,s52,s34]) ).
cnf(s6342,plain,
( spl2_4
| spl2_12
| ~ spl2_17
| ~ spl2_386
| spl2_103
| spl2_306
| spl2_194
| ~ spl2_98
| spl2_13
| spl2_15
| ~ spl2_232
| spl2_10
| spl2_31
| spl2_118
| spl2_337
| spl2_133
| ~ spl2_130
| spl2_21
| spl2_109
| spl2_132
| spl2_20
| spl2_155 ),
inference(rat,[],[s589,s539,s1235,s5550,s4759,s4807,s645,s152,s6337,s2469,s954,s1238,s955,s2730,s5887,s970,s443,s4811,s6341,s34,s52,s1273,s319,s5828,s15,s111]) ).
cnf(s6343,plain,
( ~ spl2_4
| ~ spl2_17
| ~ spl2_75
| ~ spl2_18
| spl2_13
| spl2_31
| spl2_118
| spl2_155 ),
inference(rat,[],[s1592,s4585,s2320,s5857,s955,s1556,s5887,s970,s443,s4811,s1170,s449,s745,s2397,s3248,s3080,s5828,s3825]) ).
cnf(s6344,plain,
( ~ spl2_157
| spl2_147
| spl2_211
| ~ spl2_12
| spl2_103
| spl2_306
| ~ spl2_321
| ~ spl2_98
| ~ spl2_18
| spl2_13
| spl2_10
| ~ spl2_32
| ~ spl2_120
| spl2_109
| spl2_139 ),
inference(rat,[],[s5801,s899,s1238,s6325,s2730,s4584,s5900,s449]) ).
cnf(s6345,plain,
( ~ spl2_17
| spl2_103
| ~ spl2_97
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6334,s5083,s1592,s6337,s2320,s954,s955,s6344,s449,s4402,s6138,s4902,s6342,s6343,s6254,s4813,s319,s1687,s1112,s174,s4591,s112,s2505,s6140,s15,s4016,s4805,s6323,s2423,s4750,s2413,s6268,s947,s6332,s4794,s111,s387,s5828]) ).
cnf(s6346,plain,
( spl2_103
| ~ spl2_97
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s681,s4883,s700,s1933,s899,s1236,s5083,s2819,s1897,s6334,s1235,s1592,s2545,s2320,s954,s955,s4575,s6344,s449,s679,s4402,s6138,s4902,s17,s6345,s6254,s4813,s319,s1112,s174,s4591,s112,s387,s5828,s2505,s6140,s15,s4016,s4805,s6323,s2423,s4750,s2413,s6268,s947,s6332]) ).
cnf(s6347,plain,
( ~ spl2_97
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6343,s385,s17,s4677,s4014,s6346,s4591,s15,s4750,s4016,s2413,s6254,s2423,s6268,s6323]) ).
cnf(s6348,plain,
( ~ spl2_194
| spl2_286
| spl2_250
| ~ spl2_306
| spl2_103
| spl2_97
| spl2_31
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4811,s5887,s449,s955,s4746,s4758,s1235,s3476,s1703,s679,s645,s4226,s4596,s4632,s2200,s6254]) ).
cnf(s6349,plain,
( ~ spl2_157
| ~ spl2_239
| ~ spl2_321
| ~ spl2_306
| ~ spl2_9
| ~ spl2_421
| ~ spl2_17
| ~ spl2_18
| ~ spl2_13
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4890,s981,s6213,s977,s5939,s721,s805,s4833,s539,s821,s2575,s5035,s6196,s4808,s4584,s5900,s1885,s152,s1877,s4813,s4480,s2397,s4793,s3798,s6254,s663,s6268]) ).
cnf(s6350,plain,
( ~ spl2_239
| ~ spl2_321
| ~ spl2_306
| ~ spl2_9
| ~ spl2_421
| ~ spl2_17
| ~ spl2_18
| ~ spl2_13
| spl2_97
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s539,s694,s3698,s4386,s3537,s1236,s2819,s1897,s1235,s3551,s3154,s657,s4808,s2575,s4833,s954,s955,s6349,s4480,s2397,s174,s6254,s663,s4891,s1877,s4813,s6268]) ).
cnf(s6351,plain,
( ~ spl2_306
| ~ spl2_17
| spl2_103
| ~ spl2_18
| ~ spl2_13
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3627,s3320,s1903,s2663,s4597,s2681,s977,s562,s2396,s936,s4480,s4808,s2575,s4833,s954,s831,s955,s6143,s5887,s970,s4811,s449,s6350,s2505,s6348,s663,s941,s6254,s2330,s4912,s319,s2423,s6323,s5828,s4750,s152,s1877,s4813,s6268,s1273,s52,s34,s4797,s3825,s6347,s111,s1885]) ).
cnf(s6352,plain,
( spl2_268
| spl2_237
| spl2_422
| spl2_306
| ~ spl2_102
| spl2_97
| ~ spl2_120
| spl2_109 ),
inference(rat,[],[s4924,s3332,s1238,s4585,s2730]) ).
cnf(s6353,plain,
( ~ spl2_194
| spl2_50
| spl2_42
| ~ spl2_421
| ~ spl2_17
| ~ spl2_18
| spl2_133
| spl2_132
| spl2_139 ),
inference(rat,[],[s4819,s2384,s4484,s4482,s645,s4632,s3960]) ).
cnf(s6354,plain,
( ~ spl2_17
| spl2_103
| ~ spl2_18
| ~ spl2_13
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s5906,s4814,s539,s681,s3698,s4883,s3537,s1933,s1236,s2819,s1897,s1235,s3551,s4891,s2505,s6353,s2397,s954,s449,s955,s970,s5900,s6352,s3154,s4104,s2322,s947,s6351,s52,s1273,s4797,s3825,s174,s6254,s2423,s319,s6323,s6347,s152,s1877,s4813,s6268,s111]) ).
cnf(s6355,plain,
( ~ spl2_194
| ~ spl2_306
| ~ spl2_202
| ~ spl2_12
| spl2_103
| ~ spl2_18
| ~ spl2_102
| spl2_10
| spl2_97
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s449,s6281,s4811,s4584,s5887,s955,s4758,s1235,s3476,s1703,s4051,s645,s6348,s4596,s4632,s6254,s5828,s886,s112,s4671,s1727,s941]) ).
cnf(s6356,plain,
( ~ spl2_185
| ~ spl2_287
| ~ spl2_321
| ~ spl2_306
| spl2_211
| ~ spl2_18
| spl2_97
| spl2_118
| spl2_109
| spl2_155 ),
inference(rat,[],[s1853,s1236,s539,s4279,s3698,s1703,s899]) ).
cnf(s6357,plain,
( ~ spl2_42
| ~ spl2_366
| ~ spl2_157
| ~ spl2_306
| ~ spl2_98
| ~ spl2_30
| ~ spl2_12
| ~ spl2_95
| spl2_10
| spl2_118
| ~ spl2_120
| spl2_20
| spl2_155 ),
inference(rat,[],[s2134,s4846,s4788,s821,s3254,s805,s2160,s5075,s5939]) ).
cnf(s6358,plain,
( ~ spl2_345
| spl2_42
| ~ spl2_98
| ~ spl2_30
| ~ spl2_12
| ~ spl2_95
| ~ spl2_18
| ~ spl2_22
| ~ spl2_120
| spl2_20 ),
inference(rat,[],[s4572,s5075,s2634,s3696]) ).
cnf(s6359,plain,
( ~ spl2_362
| spl2_42
| ~ spl2_157
| ~ spl2_306
| ~ spl2_18
| ~ spl2_22
| spl2_118
| spl2_155 ),
inference(rat,[],[s6101,s4572,s2160,s1150]) ).
cnf(s6360,plain,
( ~ spl2_157
| ~ spl2_306
| spl2_103
| ~ spl2_18
| ~ spl2_13
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2674,s2672,s1237,s1240,s2216,s2497,s831,s2499,s3995,s4102,s1723,s6359,s6357,s6330,s4829,s4883,s1331,s681,s5495,s4410,s2317,s6356,s4584,s6254,s111,s4902,s112,s4305,s2505,s6355,s679,s5817,s3891,s4750,s319,s152,s1877,s4813,s1885,s6347,s6323,s6268,s2423,s4671,s1727,s17,s6354]) ).
cnf(s6361,plain,
( ~ spl2_185
| ~ spl2_225
| spl2_42
| ~ spl2_306
| spl2_211
| ~ spl2_18
| spl2_118
| spl2_109
| spl2_155 ),
inference(rat,[],[s2819,s4585,s1236,s1832,s4279,s4482,s1703,s4833,s1897]) ).
cnf(s6362,plain,
( ~ spl2_306
| spl2_103
| ~ spl2_18
| ~ spl2_13
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4380,s1236,s539,s2819,s5826,s4585,s4829,s1832,s1331,s5495,s2317,s6361,s1897,s1235,s4833,s2545,s954,s955,s6360,s4274,s6254,s4575,s679,s5817,s3891,s4671,s1727,s6347,s2423,s4750,s6268,s319,s6323,s5919,s4902,s17,s6354]) ).
cnf(s6363,plain,
( ~ spl2_362
| ~ spl2_382
| ~ spl2_181
| ~ spl2_366
| ~ spl2_185
| spl2_42
| spl2_211
| ~ spl2_98
| spl2_103
| ~ spl2_18
| ~ spl2_32
| spl2_109 ),
inference(rat,[],[s2663,s2943,s3429,s3784,s1237,s831,s4621,s4250,s2771,s4572]) ).
cnf(s6364,plain,
( spl2_103
| ~ spl2_18
| ~ spl2_13
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s1148,s4786,s849,s1149,s821,s1024,s5883,s5075,s6363,s4788,s3575,s4744,s2499,s5620,s4596,s4936,s2505,s4787,s4883,s4350,s681,s4914,s4814,s5829,s5826,s5906,s539,s4380,s1933,s1236,s2819,s2384,s1897,s977,s4482,s1235,s6358,s5083,s2545,s954,s955,s5900,s6352,s3154,s449,s4104,s4402,s2322,s947,s6362,s4575,s679,s1273,s5817,s4274,s4007,s3891,s112,s5919,s4671,s4902,s1727,s17,s6354,s2973,s111,s174,s6254,s2423,s319,s6323,s5828,s6347,s4750,s152,s1877,s4813,s6268]) ).
cnf(s6365,plain,
( spl2_286
| ~ spl2_25
| spl2_77
| ~ spl2_103
| ~ spl2_102
| spl2_97
| spl2_31
| spl2_118
| spl2_109
| spl2_155 ),
inference(rat,[],[s493,s1238,s4812,s3316,s1169,s6187,s513,s449,s4509,s3798]) ).
cnf(s6366,plain,
( ~ spl2_103
| ~ spl2_13
| spl2_97
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s2659,s679,s681,s4226,s4814,s3198,s5906,s539,s3698,s3537,s1236,s2819,s1897,s1235,s3551,s955,s5900,s6352,s3154,s4104,s2322,s947,s663,s6365,s4891,s2505,s6313,s1285,s4385,s17,s743,s4793,s4014,s1574,s6254,s319,s1687,s152,s1877,s4813]) ).
cnf(s6367,plain,
( ~ spl2_77
| ~ spl2_15
| spl2_419
| ~ spl2_13
| ~ spl2_130
| spl2_20 ),
inference(rat,[],[s4743,s4007,s1279,s1619,s152,s1877]) ).
cnf(s6368,plain,
( ~ spl2_194
| ~ spl2_267
| spl2_159
| ~ spl2_154
| ~ spl2_98
| ~ spl2_219
| spl2_286
| ~ spl2_306
| ~ spl2_25
| spl2_197
| spl2_103
| ~ spl2_102
| spl2_97
| spl2_31
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4755,s1235,s6026,s589,s4226,s6348,s2200]) ).
cnf(s6369,plain,
( ~ spl2_306
| spl2_77
| spl2_12
| ~ spl2_24
| ~ spl2_13
| spl2_97
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s831,s6143,s5247,s589,s3449,s1235,s304,s4829,s4883,s4755,s4787,s5246,s5877,s1331,s681,s765,s721,s723,s3581,s725,s3698,s2505,s6368,s4836,s4585,s1238,s4812,s970,s3316,s112,s1169,s6187,s5743,s4811,s5857,s513,s539,s449,s4509,s5260,s3798,s663,s5828,s5655,s4750,s152,s4796,s111,s6366,s1877,s4813,s2066,s572,s621,s2797,s4385,s17,s6254,s2330,s4912,s319,s745]) ).
cnf(s6370,plain,
( ~ spl2_345
| ~ spl2_205
| ~ spl2_329
| spl2_278
| ~ spl2_219
| ~ spl2_368
| ~ spl2_119
| ~ spl2_22
| spl2_109
| spl2_20 ),
inference(rat,[],[s1240,s2521,s6197,s2634]) ).
cnf(s6371,plain,
( ~ spl2_362
| spl2_345
| ~ spl2_198
| ~ spl2_185
| spl2_211
| ~ spl2_25
| ~ spl2_17
| spl2_109 ),
inference(rat,[],[s5421,s2771,s1637]) ).
cnf(s6372,plain,
( ~ spl2_13
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s1149,s4786,s1024,s1148,s6213,s849,s850,s2499,s4102,s1723,s6371,s6370,s4819,s648,s645,s4226,s4596,s4632,s3960,s2200,s2505,s3698,s3537,s1236,s2819,s1897,s1235,s4788,s589,s1016,s826,s827,s53,s34,s4904,s2397,s2726,s1918,s449,s970,s1169,s513,s6352,s955,s546,s1433,s4104,s2443,s2322,s947,s6369,s745,s6367,s572,s283,s2066,s2797,s4385,s17,s4902,s4593,s5919,s15,s4796,s2973,s6364,s111,s6366,s152,s1877,s1885,s4750,s174,s6254,s4813,s6268,s2330,s4912,s319,s2423,s6323,s3550,s6347]) ).
cnf(s6373,plain,
( ~ spl2_306
| ~ spl2_17
| ~ spl2_18
| spl2_13
| ~ spl2_32
| spl2_118
| spl2_155 ),
inference(rat,[],[s6324,s2397,s5900,s449,s955,s443,s4383,s941]) ).
cnf(s6374,plain,
( ~ spl2_194
| spl2_50
| ~ spl2_9
| ~ spl2_17
| ~ spl2_18
| spl2_13
| spl2_133
| spl2_21
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s694,s4484,s539,s645,s6158,s4632]) ).
cnf(s6375,plain,
( ~ spl2_157
| ~ spl2_17
| ~ spl2_18
| ~ spl2_95
| spl2_13
| spl2_97
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4902,s3449,s1377,s304,s112,s4787,s2547,s2335,s3333,s4101,s1235,s4759,s645,s6242,s2505,s6374,s2060,s3905,s3908,s4924,s2397,s4131,s1238,s449,s4593,s2730,s4811,s2443,s5461,s5900,s5887,s4813,s319,s1273,s5827,s5917,s52,s4797,s3825,s4104,s947,s6373,s5828,s6254]) ).
cnf(s6376,plain,
( ~ spl2_194
| spl2_42
| ~ spl2_421
| ~ spl2_17
| ~ spl2_18
| spl2_13
| ~ spl2_32
| spl2_133
| spl2_21
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s681,s700,s935,s899,s679,s645,s4226,s6353,s4632,s2200,s174]) ).
cnf(s6377,plain,
( spl2_268
| ~ spl2_159
| spl2_147
| spl2_194
| ~ spl2_250
| spl2_42
| spl2_306
| ~ spl2_18
| spl2_31
| ~ spl2_120
| spl2_109 ),
inference(rat,[],[s5913,s152,s4671,s2469,s112,s1238,s6334,s2730]) ).
cnf(s6378,plain,
( spl2_211
| ~ spl2_268
| spl2_12
| ~ spl2_239
| ~ spl2_217
| spl2_13
| ~ spl2_32
| spl2_118
| spl2_109
| spl2_155 ),
inference(rat,[],[s681,s700,s2659,s3537,s1236,s2819,s1897,s1235,s2335,s3449,s679,s4385]) ).
cnf(s6379,plain,
( ~ spl2_230
| ~ spl2_239
| ~ spl2_321
| ~ spl2_217
| spl2_103
| spl2_97
| spl2_31 ),
inference(rat,[],[s681,s4883,s4814,s1933,s5906,s539,s3698,s3537]) ).
cnf(s6380,plain,
( ~ spl2_231
| spl2_185
| ~ spl2_250
| spl2_306
| spl2_109 ),
inference(rat,[],[s2819,s4759,s1897,s1235,s589,s539,s5826,s902,s947,s645]) ).
cnf(s6381,plain,
( ~ spl2_17
| ~ spl2_18
| spl2_103
| spl2_13
| spl2_97
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s3333,s4924,s4787,s1235,s1238,s4937,s4759,s2730,s5826,s970,s539,s449,s3698,s6379,s3537,s1236,s6380,s645,s6242,s2505,s6376,s4383,s954,s955,s6375,s4104,s947,s6373,s52,s1273,s4797,s3825,s6254,s319,s5828,s111]) ).
cnf(s6382,plain,
( ~ spl2_194
| ~ spl2_306
| spl2_268
| ~ spl2_18
| spl2_13
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s1235,s4709,s3476,s2170,s1703,s679,s539,s645,s4226,s6158,s4632,s2200,s6254,s941]) ).
cnf(s6383,plain,
( spl2_366
| spl2_180
| ~ spl2_12
| spl2_103
| spl2_31
| spl2_21
| ~ spl2_112 ),
inference(rat,[],[s3784,s831,s2499,s2943,s4639,s2307,s2663,s1730,s4597,s2681,s977,s4813,s112,s4671,s1727]) ).
cnf(s6384,plain,
( ~ spl2_306
| ~ spl2_157
| ~ spl2_18
| spl2_103
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2497,s1240,s2499,s2672,s4102,s2674,s1723,s1237,s3327,s1702,s831,s4788,s4250,s2129,s828,s1654,s2312,s4369,s821,s152,s6196,s4807,s5827,s4836,s1467,s3457,s1170,s1238,s539,s3798,s2547,s1853,s4602,s2171,s3476,s4101,s1236,s1235,s1933,s1832,s2251,s4883,s1331,s681,s5495,s4410,s6356,s4584,s4585,s748,s4833,s6328,s679,s4305,s6138,s2505,s6382,s4885,s941,s6254,s4813,s2973,s111,s112,s3891,s4671,s1727,s292,s4591,s2330,s4912,s319,s6383,s5908,s3905,s3908,s4131,s5919,s4902,s5828,s17,s6381,s6372,s6347,s6323,s2423,s6268,s1150,s5900,s449,s4811,s5887]) ).
cnf(s6385,plain,
( ~ spl2_157
| ~ spl2_18
| spl2_103
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3477,s1933,s1235,s681,s1236,s1858,s4814,s1853,s4827,s5906,s539,s6171,s899,s4584,s5801,s6178,s1238,s4104,s4373,s2730,s947,s6384,s449,s4811,s5900,s5887,s1150,s174,s319,s112,s4671,s1727,s17,s6381,s6372,s6347,s6323,s6268,s2423]) ).
cnf(s6386,plain,
( ~ spl2_194
| ~ spl2_217
| ~ spl2_366
| ~ spl2_98
| ~ spl2_30
| ~ spl2_12
| ~ spl2_18
| spl2_103
| spl2_13
| ~ spl2_32
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s1148,s4786,s4369,s1149,s821,s1024,s5883,s5075,s6363,s4936,s4787,s4788,s4350,s3575,s4914,s4744,s5877,s5511,s2499,s4829,s1353,s700,s5620,s4482,s899,s679,s645,s4226,s4596,s4632,s3960,s2200,s3903,s174,s319,s111,s954,s3154,s4104,s947,s941,s4383,s6254]) ).
cnf(s6387,plain,
( ~ spl2_18
| spl2_103
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s539,s1318,s4370,s2819,s899,s1236,s679,s5083,s6379,s6138,s6377,s2505,s6386,s449,s4402,s947,s1592,s941,s2320,s4383,s954,s955,s6385,s6383,s5908,s3905,s3908,s4591,s4131,s112,s5919,s4671,s4902,s1727,s17,s6381,s6254,s2423,s4813,s6268,s319,s6323,s5828,s6347,s6372]) ).
cnf(s6388,plain,
( ~ spl2_157
| ~ spl2_71
| ~ spl2_252
| spl2_340
| ~ spl2_15
| spl2_31
| spl2_118
| ~ spl2_120
| ~ spl2_130
| spl2_109
| spl2_155 ),
inference(rat,[],[s4444,s2431,s4808,s4593,s6179,s4480,s748,s4374,s1592,s1755,s2397,s449,s4811,s5900,s5887,s1150,s17,s4902,s5919]) ).
cnf(s6389,plain,
( ~ spl2_194
| ~ spl2_306
| ~ spl2_17
| spl2_103
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s935,s681,s4484,s4814,s1711,s920,s449,s4746,s4602,s1235,s1236,s3476,s4279,s1703,s679,s645,s4226,s4596,s4632,s3960,s2200,s174,s6254,s663]) ).
cnf(s6390,plain,
( ~ spl2_77
| ~ spl2_15
| spl2_419
| ~ spl2_120
| ~ spl2_130 ),
inference(rat,[],[s1598,s4007,s4593,s34,s5917,s1279,s1619,s1170]) ).
cnf(s6391,plain,
( ~ spl2_306
| ~ spl2_250
| ~ spl2_15
| spl2_419
| spl2_103
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s969,s2393,s1235,s723,s589,s539,s6014,s5827,s4007,s4796,s1598,s4807,s4593,s4812,s5917,s1169,s5743,s513,s449,s4509,s3798,s2505,s6389,s663,s6254,s111,s1573,s49,s745,s6390,s319,s4813,s17,s4902,s5919]) ).
cnf(s6392,plain,
( ~ spl2_239
| spl2_306
| ~ spl2_217
| ~ spl2_15
| spl2_103
| spl2_13
| spl2_97
| spl2_31
| spl2_118
| spl2_21
| spl2_109
| ~ spl2_112 ),
inference(rat,[],[s6379,s2505,s1236,s2200,s2819,s4226,s1446,s6378,s4374,s1592,s1755,s6254,s5828,s3865,s4902,s5919]) ).
cnf(s6394,plain,
( spl2_268
| ~ spl2_98
| spl2_237
| spl2_306
| ~ spl2_25
| spl2_208
| ~ spl2_15
| spl2_97
| ~ spl2_120
| spl2_109
| spl2_155 ),
inference(rat,[],[s1169,s513,s5917,s4509,s4807,s4051,s152,s1238,s5747,s2730]) ).
cnf(s6395,plain,
( spl2_103
| spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s1556,s513,s52,s1169,s970,s6394,s112,s5743,s449,s6392,s4104,s947,s6391,s745,s6390,s4383,s955,s6388,s76,s3865,s17,s4902,s1662,s1573,s5919,s15,s6387,s2973,s111,s6254,s4813,s6268,s4912,s319,s6323,s2423,s6347,s6372]) ).
cnf(s6396,plain,
( ~ spl2_157
| ~ spl2_102
| spl2_237
| spl2_306
| ~ spl2_38
| spl2_97
| spl2_31
| ~ spl2_120
| spl2_109
| spl2_155 ),
inference(rat,[],[s607,s5857,s449,s6352,s4811,s5900,s5887]) ).
cnf(s6397,plain,
( spl2_366
| ~ spl2_195
| ~ spl2_211
| spl2_180
| spl2_21
| spl2_109
| ~ spl2_112 ),
inference(rat,[],[s2307,s2499,s4597,s6338,s977,s4813]) ).
cnf(s6398,plain,
( spl2_360
| ~ spl2_366
| ~ spl2_75
| ~ spl2_273
| ~ spl2_188
| ~ spl2_156
| spl2_274
| ~ spl2_217
| spl2_10
| ~ spl2_9
| spl2_13
| spl2_118
| spl2_109 ),
inference(rat,[],[s1148,s4786,s4369,s1640,s821,s4700,s3778,s1762,s1240,s5322]) ).
cnf(s6399,plain,
( ~ spl2_18
| ~ spl2_103
| spl2_13
| spl2_97
| spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s1149,s1024,s4786,s4788,s1148,s1016,s4369,s821,s5883,s6398,s6397,s4591,s681,s1859,s4814,s4864,s4827,s5906,s4787,s539,s2081,s513,s3698,s6378,s607,s1933,s3537,s449,s1236,s970,s2819,s2730,s1897,s1238,s1235,s2469,s3551,s4383,s955,s6396,s3154,s4891,s152,s4104,s322,s5917,s947,s5827,s52,s6373,s4398,s6254,s4813,s5828,s1232,s398,s578,s49,s17,s2330,s4912,s319,s2505,s6313,s1285,s743,s1574,s1687,s4014]) ).
cnf(s6400,plain,
( ~ spl2_239
| spl2_306
| ~ spl2_217
| spl2_208
| ~ spl2_15
| ~ spl2_321
| ~ spl2_38
| spl2_12
| spl2_13
| spl2_97
| ~ spl2_32
| spl2_118
| ~ spl2_130
| spl2_109
| spl2_155 ),
inference(rat,[],[s3698,s539,s765,s152,s4827,s4787,s4807,s1859,s2081,s5917,s6378,s1169,s4374,s513,s1592,s607,s1755,s3865]) ).
cnf(s6401,plain,
( ~ spl2_29
| ~ spl2_250 ),
inference(rat,[],[s1556,s513,s52,s1169]) ).
cnf(s6402,plain,
( spl2_31
| spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s970,s449,s2730,s6400,s1238,s663,s2469,s6365,s152,s4807,s5917,s6401,s4383,s955,s6388,s1573,s15,s6399,s2505,s6313,s76,s1285,s1660,s3865,s17,s743,s4793,s4014,s1574,s6395,s6372,s6347,s5828,s6254,s2423,s398,s4813,s6268,s319,s1687,s6323]) ).
cnf(s6403,plain,
( ~ spl2_250
| ~ spl2_149
| spl2_419
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_155 ),
inference(rat,[],[s4274,s4593,s2340,s2726,s1459,s5917,s1556,s6401,s5921]) ).
cnf(s6404,plain,
( ~ spl2_179
| spl2_194
| spl2_10
| spl2_97
| ~ spl2_285
| ~ spl2_157
| ~ spl2_4
| spl2_109 ),
inference(rat,[],[s4827,s539,s1858,s3698,s1235,s2109,s2299,s2505]) ).
cnf(s6405,plain,
( spl2_179
| spl2_419
| ~ spl2_31 ),
inference(rat,[],[s539,s1318,s2684,s2012,s2082,s2393,s5921]) ).
cnf(s6407,plain,
( ~ spl2_366
| spl2_346
| spl2_250
| spl2_369
| spl2_13
| spl2_118
| spl2_155 ),
inference(rat,[],[s4608,s2183,s4788,s821,s3254,s4369,s5900,s955,s4383]) ).
cnf(s6408,plain,
( spl2_306
| spl2_13
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s2155,s4709,s1240,s1235,s2515,s2299,s2505,s6272,s4805,s849,s821,s2183,s4608,s4919,s2499,s4788,s2307,s5629,s4597,s977,s6407,s4924,s1238,s2730,s2161,s4507,s5900,s513,s955,s2014,s4383,s4949,s6403,s4104,s947,s6254,s3734,s1769,s1253,s1605,s1339,s3248,s810,s1667,s2236,s2330,s4912,s319,s2109,s6405,s1232,s398,s5921]) ).
cnf(s6409,plain,
( ~ spl2_250
| ~ spl2_306
| ~ spl2_179
| spl2_186
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_109
| spl2_155 ),
inference(rat,[],[s5374,s4278,s1236,s4904,s3706,s1157,s1918,s449,s2014,s4593,s1459,s513,s5917,s15,s1556,s6401,s941,s5921]) ).
cnf(s6410,plain,
( spl2_194
| ~ spl2_271
| spl2_97
| spl2_354
| ~ spl2_157
| ~ spl2_179
| ~ spl2_358
| ~ spl2_4
| spl2_109 ),
inference(rat,[],[s4329,s5826,s1237,s539,s2197,s2303,s3698,s4915,s2505,s2109,s821,s4761,s3734,s2499]) ).
cnf(s6411,plain,
( spl2_97
| ~ spl2_153
| spl2_250
| ~ spl2_306
| ~ spl2_179
| ~ spl2_358
| spl2_13
| ~ spl2_4
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4485,s1703,s1236,s645,s4226,s2820,s4632,s2200,s6410,s4847,s4507,s2185,s4788,s4608,s2183,s821,s4761,s446,s5900,s955,s4383,s2499,s2307,s4597,s977,s6407,s2161,s3734,s6254]) ).
cnf(s6412,plain,
( spl2_13
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s2155,s4709,s1240,s4788,s1235,s2515,s2185,s2299,s2505,s4507,s6272,s5768,s4805,s6411,s4919,s2499,s2307,s4597,s977,s6407,s2161,s5900,s513,s955,s2014,s4383,s4949,s6409,s6408,s2109,s6405,s3734,s1769,s1253,s283,s1605,s810,s3030,s1339,s1667,s1232,s3248,s6254,s398,s2330,s4912,s319,s2236,s5921]) ).
cnf(s6413,plain,
( spl2_306
| spl2_419
| ~ spl2_102
| spl2_97
| spl2_10
| ~ spl2_13
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_133
| spl2_109
| spl2_132
| spl2_155 ),
inference(rat,[],[s1459,s2332,s2340,s955,s4497,s4274,s5900,s4593,s6352,s1433,s6403,s4104,s2322,s947,s319,s5921,s3550]) ).
cnf(s6414,plain,
( spl2_153
| ~ spl2_274
| ~ spl2_31
| spl2_109 ),
inference(rat,[],[s1236,s1933,s1157,s449,s2014,s1459,s513]) ).
cnf(s6415,plain,
( ~ spl2_321
| spl2_157
| ~ spl2_217
| spl2_10
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s4486,s4829,s4787,s2107,s4936,s1236,s4629,s5608,s4279,s4507,s1703,s4847,s2248,s6079,s4593,s4497,s1697,s2332,s4506,s6414,s4916,s5642,s4226,s4827,s3198,s5826,s539,s3698,s1616,s2109,s6405,s3734,s1769,s1253,s1605,s1339,s4797,s807,s2291,s643,s2273,s5921,s6413,s2973,s111,s1294,s174,s152,s1877,s4813,s2413,s4750,s6412,s6254]) ).
cnf(s6416,plain,
( ~ spl2_194
| ~ spl2_217
| spl2_250
| ~ spl2_306
| spl2_97
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s3476,s1235,s1703,s679,s4758,s645,s4226,s4596,s4632,s2200,s6254]) ).
cnf(s6417,plain,
( ~ spl2_217
| spl2_10
| ~ spl2_25
| ~ spl2_31
| spl2_118
| spl2_133
| spl2_21
| spl2_109
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s1703,s4028,s4497,s4485,s4382,s2332,s1236,s513,s4226,s1853,s2014,s3198,s5826,s4584,s1150,s539,s6415,s3698,s2505,s6416,s446,s2109,s6409,s6413,s6405,s2973,s279,s152,s1877,s4813,s1616,s111,s1294,s174,s5921,s3550,s2413,s4750,s6412,s643,s2273,s6254]) ).
cnf(s6418,plain,
( spl2_118
| spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s2760,s1240,s2771,s679,s4331,s645,s4226,s4596,s4632,s2200,s6404,s4507,s4847,s3649,s2499,s849,s4786,s821,s2757,s4846,s4478,s2689,s1024,s2134,s2663,s4788,s4741,s3254,s6101,s2161,s513,s2014,s1150,s955,s6417,s3734,s1769,s1253,s5246,s1605,s807,s560,s1339,s6405,s2291,s4797,s2973,s152,s2413,s1877,s1885,s4750,s6412,s1616,s111,s28,s1294,s5921,s6402,s174,s6254,s4813,s6268,s319,s643,s2273,s6323,s2423]) ).
cnf(s6419,plain,
( spl2_13
| spl2_31
| ~ spl2_8
| ~ spl2_118
| spl2_45 ),
inference(rat,[],[s4131,s5919,s3908,s4902,s3905,s6109]) ).
cnf(s6420,plain,
( spl2_31
| ~ spl2_231
| ~ spl2_8
| ~ spl2_118
| spl2_45
| spl2_21
| spl2_132
| ~ spl2_112 ),
inference(rat,[],[s1619,s745,s3891,s1666,s2697,s935,s679,s681,s4226,s4814,s3198,s5906,s539,s3581,s2505,s4732,s2253,s1331,s166,s3058,s103,s152,s2413,s1877,s4750,s5655,s6419,s4813,s4773,s3048]) ).
cnf(s6421,plain,
( spl2_109
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s4750,s2413,s1667,s2291,s2236,s111,s28,s1294,s5921,s6420,s1383,s3048,s1236,s4773,s5235,s3050,s6418,s2330,s643,s4912,s2273,s319,s6323,s6268,s174,s2423]) ).
cnf(s6422,plain,
( spl2_45
| spl2_13
| spl2_118
| spl2_31
| ~ spl2_109 ),
inference(rat,[],[s76,s379,s17,s4902,s5919,s1225,s1067]) ).
cnf(s6423,plain,
( ~ spl2_45
| spl2_118
| spl2_31
| ~ spl2_109
| spl2_132
| spl2_155 ),
inference(rat,[],[s1066,s2797,s2330,s4385,s17,s4912,s5673,s1049]) ).
cnf(s6424,plain,
( spl2_12
| ~ spl2_35
| spl2_118
| spl2_155 ),
inference(rat,[],[s2797,s4385,s17]) ).
cnf(s6425,plain,
( spl2_118
| spl2_31
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6273,s103,s319,s1877,s4912,s1574,s4813,s353,s4903,s933,s1123,s1170,s745,s1666,s2397,s449,s15,s112,s4811,s5919,s4671,s1047,s4902,s1727,s6424,s6422,s1067,s1202,s6423,s2423,s1196,s6421,s6254]) ).
cnf(s6426,plain,
( spl2_13
| spl2_31
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s6291,s388,s2330,s4131,s4912,s3908,s1049,s3905,s6419,s2423,s6421,s5915,s6425,s5828]) ).
cnf(s6427,plain,
( spl2_133
| spl2_31
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s745,s1619,s1666,s3891,s935,s2697,s679,s681,s4226,s4814,s3198,s5906,s539,s3581,s1331,s1202,s3058,s2330,s5655,s4813,s4805,s4912,s308,s4881,s319,s174,s2423,s2505,s1196,s6421,s6254,s6425,s6426]) ).
cnf(s6428,plain,
( spl2_21
| spl2_31
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3198,s4226,s539,s679,s3581,s901,s15,s1331,s103,s6291,s3058,s1877,s6318,s5655,s4813,s2505,s1196,s6421,s6254,s6425,s6426,s6427]) ).
cnf(s6429,plain,
( spl2_97
| ~ spl2_21
| ~ spl2_133
| ~ spl2_118
| spl2_194
| ~ spl2_109 ),
inference(rat,[],[s3574,s1446,s4305,s3336,s347,s17,s645,s933,s4838,s6225,s3749,s4130,s3058,s886,s2505,s15,s5916]) ).
cnf(s6430,plain,
( ~ spl2_25
| spl2_45
| spl2_15
| ~ spl2_118 ),
inference(rat,[],[s4497,s146,s15]) ).
cnf(s6431,plain,
( spl2_31
| spl2_20
| ~ spl2_112 ),
inference(rat,[],[s3080,s141,s17,s933,s1170,s745,s6430,s6205,s6429,s1049,s15,s308,s5916,s6428,s6427,s6425,s174,s1196,s6421,s6254]) ).
cnf(s6432,plain,
( spl2_133
| spl2_42
| ~ spl2_95
| ~ spl2_4
| ~ spl2_109
| spl2_132 ),
inference(rat,[],[s2291,s4805,s1383,s4881,s1065,s1667,s1067,s1202,s2330,s4912,s319]) ).
cnf(s6433,plain,
( spl2_20
| ~ spl2_112 ),
inference(rat,[],[s645,s3336,s2196,s4750,s4915,s2413,s2393,s2291,s2012,s1383,s1667,s5428,s1065,s3030,s3566,s1066,s1315,s6432,s2236,s111,s28,s1294,s5921,s6431,s1196,s6421,s2423,s174,s6254]) ).
cnf(s6435,plain,
( ~ spl2_25
| spl2_118
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s4833,s954,s4585,s955,s970,s5887,s1169,s4811,s5857,s513,s449,s4509,s3791,s6254,s15,s1420,s663,s17,s1421,s947,s1422,s6433]) ).
cnf(s6436,plain,
( spl2_133
| spl2_118
| spl2_109
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s969,s4808,s4484,s4480,s6264,s6361,s2819,s1235,s1236,s3476,s4279,s679,s4226,s2200,s3903,s6242,s1273,s4797,s111,s1574,s743,s2413,s4750,s308,s1687,s319,s174,s5639,s1703,s645,s3797,s6373,s947,s1422,s17,s1421,s15,s1420,s6433,s5828,s6254,s6435]) ).
cnf(s6437,plain,
( spl2_21
| ~ spl2_133
| spl2_118
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s6264,s4416,s4130,s1574,s2413,s4793,s4750,s6373,s947,s1422,s17,s1421,s15,s1420,s6433,s5828,s6254,s745,s6435]) ).
cnf(s6438,plain,
( spl2_118
| spl2_109
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s4250,s4316,s4572,s4786,s4966,s1149,s6253,s6437,s6436,s174,s947,s1422,s15,s1420,s3323,s17,s1421,s446,s6254,s4474,s6433,s5828]) ).
cnf(s6439,plain,
( spl2_109
| spl2_31
| ~ spl2_112 ),
inference(rat,[],[s1240,s1673,s2521,s4700,s539,s1940,s694,s5827,s1170,s3955,s4076,s4484,s3080,s4890,s745,s2782,s141,s6430,s4778,s6438,s4738,s4474,s17,s1421,s899,s645,s3797,s15,s1420,s6433,s5828]) ).
cnf(s6440,plain,
( spl2_31
| ~ spl2_112 ),
inference(rat,[],[s2663,s2970,s4741,s358,s721,s152,s1574,s539,s322,s111,s694,s5827,s124,s1168,s1337,s4484,s3080,s4890,s3955,s4076,s54,s2782,s6424,s2505,s372,s1067,s1196,s6439,s5828,s6254,s4738,s4474,s645,s3797,s17,s1421,s15,s1420,s6433]) ).
cnf(s6441,plain,
~ spl2_112,
inference(rat,[],[s4226,s308,s4485,s319,s1236,s6105,s2107,s4805,s4829,s3858,s3960,s2200,s4644,s4838,s1459,s3752,s4645,s449,s2393,s2397,s2012,s363,s4797,s134,s5428,s936,s111,s4889,s1294,s5921,s5853,s6440,s1703,s15,s17,s947,s645,s5639,s1420,s1421,s1422,s3797,s4738,s6433,s446,s6254,s174]) ).
cnf(s6442,plain,
~ spl2_34,
inference(rat,[],[s638,s6441]) ).
cnf(s6443,plain,
spl2_114,
inference(rat,[],[s312,s6441]) ).
cnf(s6444,plain,
spl2_111,
inference(rat,[],[s107,s6441]) ).
cnf(s6445,plain,
~ spl2_134,
inference(rat,[],[s5114,s6441]) ).
cnf(s6446,plain,
~ spl2_109,
inference(rat,[],[s5313,s6441]) ).
cnf(s6447,plain,
spl2_31,
inference(rat,[],[s6058,s6441]) ).
cnf(s6449,plain,
~ spl2_421,
inference(rat,[],[s5853,s6447]) ).
cnf(s6450,plain,
spl2_4,
inference(rat,[],[s5921,s6447]) ).
cnf(s6452,plain,
( spl2_13
| spl2_20
| ~ spl2_120
| spl2_118 ),
inference(rat,[],[s1484,s953,s1556,s1261,s1459,s2340,s4274,s4805,s4593,s5901,s1598,s152,s1990,s4288,s1616,s6097,s3467,s6062,s308,s3378,s5513,s1339,s3248,s28,s6444,s6450,s6447,s6443,s6441]) ).
cnf(s6453,plain,
( ~ spl2_17
| ~ spl2_18
| spl2_97 ),
inference(rat,[],[s173,s1294,s112,s111,s938,s4797,s4889,s3825,s6447,s6443,s6450,s6449]) ).
cnf(s6454,plain,
( spl2_194
| ~ spl2_18
| spl2_132
| spl2_97
| spl2_21
| spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s4102,s1723,s6410,s6359,s4506,s2219,s947,s4847,s4104,s1769,s953,s1253,s1261,s5362,s6414,s1511,s4916,s679,s4226,s3198,s539,s3698,s2505,s2236,s28,s6097,s4750,s6452,s2109,s6405,s2973,s2793,s17,s6453,s4912,s319,s6450,s6446,s6444,s6447,s6441]) ).
cnf(s6455,plain,
( ~ spl2_18
| spl2_132
| spl2_97
| spl2_21
| spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s1703,s3476,s947,s1235,s4104,s4753,s953,s1261,s6414,s4916,s679,s1709,s645,s4596,s4632,s6454,s6405,s2973,s2793,s17,s6453,s28,s446,s6097,s4912,s319,s6446,s6441,s6444,s6447]) ).
cnf(s6456,plain,
( ~ spl2_95
| spl2_194
| spl2_132
| spl2_97
| spl2_21
| spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s2779,s2499,s821,s4306,s1903,s2485,s4597,s6079,s3734,s4847,s955,s1769,s953,s1858,s1253,s1261,s1235,s5362,s6414,s3476,s1511,s4916,s679,s4226,s4827,s3198,s1703,s539,s645,s723,s556,s6413,s6405,s4796,s2973,s28,s6097,s1593,s1598,s4593,s15,s6455,s1885,s6452,s319,s2505,s6446,s6450,s6444,s6447,s6441]) ).
cnf(s6457,plain,
( ~ spl2_139
| ~ spl2_286 ),
inference(rat,[],[s4051,s112,s1238,s173,s1120,s6446]) ).
cnf(s6458,plain,
( spl2_132
| spl2_97
| spl2_21
| spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s1235,s4753,s3476,s1261,s1703,s6414,s6413,s4916,s679,s1598,s1709,s645,s4593,s4596,s4632,s15,s6456,s6455,s1885,s6452,s319,s446,s6405,s2973,s111,s1294,s6457,s5644,s6097,s28,s1418,s6446,s6441,s6447]) ).
cnf(s6459,plain,
( spl2_97
| spl2_21
| spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s861,s688,s1238,s953,s3247,s1261,s513,s1169,s862,s4007,s152,s5901,s6458,s2973,s111,s1294,s6457,s5644,s6097,s28,s1418,s6446,s6444,s6443,s6450,s6447,s6441]) ).
cnf(s6464,plain,
( spl2_393
| ~ spl2_132
| ~ spl2_95
| ~ spl2_22
| spl2_155
| ~ spl2_25
| spl2_118 ),
inference(rat,[],[s1238,s3247,s861,s1261,s5359,s6414,s4479,s4916,s3117,s4486,s4787,s2393,s4026,s2012,s1616,s152,s5901,s6446,s6443,s6447,s6450]) ).
cnf(s6465,plain,
( spl2_21
| spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s2171,s681,s1235,s1896,s1897,s6464,s4805,s6459,s111,s1294,s6457,s5644,s4750,s6097,s1418,s28,s4881,s6452,s319,s6446,s6447,s6441]) ).
cnf(s6466,plain,
( spl2_20
| spl2_133
| spl2_118 ),
inference(rat,[],[s4493,s4027,s1688,s5916,s934,s6465,s28,s6450,s6443,s6447]) ).
cnf(s6467,plain,
( spl2_133
| spl2_118 ),
inference(rat,[],[s1238,s3247,s5822,s1261,s4805,s1459,s3858,s449,s4838,s2397,s3752,s6097,s111,s308,s1294,s4645,s173,s2393,s112,s2012,s938,s5428,s6453,s4889,s15,s17,s645,s5639,s1420,s1421,s3797,s6466,s319,s6446,s6443,s6447,s6441,s6450,s6449]) ).
cnf(s6468,plain,
( spl2_97
| spl2_21
| ~ spl2_133
| spl2_139
| spl2_118 ),
inference(rat,[],[s15,s6082,s6103,s6441,s6447]) ).
cnf(s6469,plain,
( ~ spl2_18
| ~ spl2_288
| spl2_159
| ~ spl2_13
| ~ spl2_232
| ~ spl2_271
| spl2_132
| ~ spl2_267
| spl2_197
| spl2_268
| spl2_278
| ~ spl2_153
| spl2_10
| spl2_21
| ~ spl2_25
| spl2_118 ),
inference(rat,[],[s6104,s539,s4497,s3478,s2332,s1235,s955,s4759,s2218,s5808,s6467,s2236,s6097,s4750,s1592,s6441,s6446,s6444,s6450]) ).
cnf(s6471,plain,
( ~ spl2_354
| ~ spl2_217
| ~ spl2_232
| ~ spl2_271
| spl2_250
| spl2_118 ),
inference(rat,[],[s3475,s4786,s2903,s3649]) ).
cnf(s6472,plain,
( spl2_194
| ~ spl2_232
| spl2_268
| ~ spl2_95
| spl2_10
| spl2_21
| ~ spl2_25
| spl2_118 ),
inference(rat,[],[s4788,s2155,s3577,s821,s1240,s2206,s2515,s2538,s4919,s6471,s955,s4709,s1467,s1235,s4807,s3478,s4796,s539,s556,s6104,s4593,s15,s6469,s645,s2196,s4915,s2505,s2109,s2393,s2012,s5428,s614,s4836,s4847,s1484,s1556,s1592,s3734,s1769,s1253,s1605,s1339,s4510,s1458,s818,s5482,s861,s688,s1238,s3247,s953,s1261,s1459,s449,s2397,s3566,s1315,s6097,s1390,s6467,s6446,s6441,s6450,s6447,s6444,s6443]) ).
cnf(s6473,plain,
( spl2_21
| spl2_20
| spl2_118 ),
inference(rat,[],[s3198,s539,s4226,s3478,s4485,s1235,s1236,s4753,s1705,s2820,s4596,s3858,s6472,s1592,s1458,s1484,s4805,s6468,s4847,s861,s657,s688,s1238,s953,s3247,s1556,s1261,s2109,s1459,s2393,s449,s2012,s2397,s5428,s3566,s111,s6062,s1294,s6457,s5644,s446,s6097,s1315,s6467,s1418,s28,s6446,s6441,s6444,s6443,s6450,s6447]) ).
cnf(s6474,plain,
( spl2_20
| spl2_118 ),
inference(rat,[],[s6204,s933,s4805,s5433,s17,s5901,s3566,s1346,s119,s111,s5507,s308,s1294,s173,s1770,s6082,s48,s4027,s15,s5916,s934,s6473,s28,s1315,s6467,s6446,s6447,s6441,s6450,s6443]) ).
cnf(s6475,plain,
spl2_118,
inference(rat,[],[s4805,s3858,s5901,s4838,s429,s3752,s2377,s111,s1294,s4645,s173,s2393,s112,s2012,s938,s5428,s6453,s4889,s15,s17,s645,s5639,s1420,s1421,s3797,s6474,s6467,s6450,s6447,s6443,s6449]) ).
cnf(s6476,plain,
~ spl2_225,
inference(rat,[],[s4780,s6441,s6475]) ).
cnf(s6478,plain,
spl2_33,
inference(rat,[],[s3051,s6443,s6475]) ).
cnf(s6479,plain,
~ spl2_8,
inference(rat,[],[s3048,s6445,s6475]) ).
cnf(s6480,plain,
spl2_224,
inference(rat,[],[s1235,s6446,s6476]) ).
cnf(s6483,plain,
spl2_79,
inference(rat,[],[s4784,s6475,s6479]) ).
cnf(s6484,plain,
spl2_152,
inference(rat,[],[s5235,s6475,s6479]) ).
cnf(s6485,plain,
( spl2_155
| spl2_20
| spl2_133 ),
inference(rat,[],[s15,s2219,s4016,s2730,s861,s1238,s3247,s4737,s2819,s4506,s1261,s1616,s1896,s5461,s111,s681,s6062,s1294,s2171,s6457,s4509,s319,s513,s2014,s1157,s1236,s3050,s28,s6446,s6443,s6441,s6478,s6450,s6483,s6447,s6480,s6475]) ).
cnf(s6486,plain,
spl2_97,
inference(rat,[],[s5513,s4645,s1294,s2393,s111,s2012,s1616,s4964,s4737,s3058,s6450,s6447,s6441,s6478,s6475]) ).
cnf(s6487,plain,
( spl2_132
| ~ spl2_25
| spl2_133 ),
inference(rat,[],[s6430,s2330,s4016,s4912,s319,s6475,s6486]) ).
cnf(s6488,plain,
( spl2_15
| ~ spl2_102
| spl2_20 ),
inference(rat,[],[s173,s1770,s5309,s4027,s28,s6450,s6441,s6447,s6443]) ).
cnf(s6489,plain,
( spl2_139
| ~ spl2_192
| ~ spl2_102
| spl2_20
| ~ spl2_153 ),
inference(rat,[],[s4506,s1697,s5461,s111,s6062,s1294,s6483,s6441,s6447]) ).
cnf(s6490,plain,
( spl2_20
| spl2_133
| spl2_21 ),
inference(rat,[],[s4750,s3011,s3248,s4644,s5513,s6489,s1238,s152,s861,s5901,s6487,s6485,s28,s513,s2014,s1157,s1236,s3050,s6450,s6446,s6447,s6475]) ).
cnf(s6491,plain,
~ spl2_20,
inference(rat,[],[s26,s5,s17,s4778,s1421,s4738,s6442,s6475]) ).
cnf(s6493,plain,
spl2_25,
inference(rat,[],[s28,s6447,s6491]) ).
cnf(s6496,plain,
spl2_153,
inference(rat,[],[s3052,s6475,s6493]) ).
cnf(s6497,plain,
~ spl2_42,
inference(rat,[],[s2236,s6450,s6493]) ).
cnf(s6498,plain,
~ spl2_250,
inference(rat,[],[s1556,s6450,s6496]) ).
cnf(s6499,plain,
( spl2_132
| ~ spl2_133 ),
inference(rat,[],[s15,s4374,s1165,s3478,s2819,s902,s539,s1236,s4827,s4382,s4465,s3858,s3960,s2299,s2109,s955,s2393,s5461,s2012,s6062,s5428,s947,s175,s123,s3566,s4879,s4774,s111,s4507,s5674,s5482,s4805,s1315,s6497,s6480,s6446,s6498,s6450,s6483,s6447,s6491,s6441,s6493,s6475,s6496,s6484,s6486]) ).
cnf(s6500,plain,
( spl2_139
| ~ spl2_132 ),
inference(rat,[],[s4507,s688,s4774,s861,s123,s1238,s111,s6489,s1294,s152,s5901,s6496,s6475,s6441,s6446,s6491,s6447]) ).
cnf(s6501,plain,
spl2_21,
inference(rat,[],[s3011,s4750,s4756,s3248,s4644,s6457,s5513,s6500,s6499,s6490,s6496,s6493,s6450,s6491]) ).
cnf(s6502,plain,
spl2_337,
inference(rat,[],[s934,s6501]) ).
cnf(s6503,plain,
~ spl2_15,
inference(rat,[],[s5916,s6501]) ).
cnf(s6508,plain,
spl2_218,
inference(rat,[],[s4027,s6443,s6503]) ).
cnf(s6512,plain,
~ spl2_102,
inference(rat,[],[s6488,s6491,s6503]) ).
cnf(s6515,plain,
spl2_107,
inference(rat,[],[s1770,s6450,s6493,s6508]) ).
cnf(s6517,plain,
spl2_106,
inference(rat,[],[s152,s6512]) ).
cnf(s6521,plain,
spl2_133,
inference(rat,[],[s1688,s6502,s6515]) ).
cnf(s6522,plain,
~ spl2_132,
inference(rat,[],[s5901,s6517]) ).
cnf(s6531,plain,
$false,
inference(rat,[],[s6499,s6521,s6522]) ).
thf(f44066,plain,
$false,
inference(avatar_sat_refutation,[],[s6531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRA108^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.28 % Computer : n018.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Tue Sep 29 19:01:26 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.29/0.34 Running higher-order theorem proving
% 0.29/0.36 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
% 1.15/0.55 % (494829)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.15/0.55 % (494836)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=461748241:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.15/0.55 % (494836)Instruction limit reached!
% 1.15/0.55 % (494836)------------------------------
% 1.15/0.55 % (494836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.55 % (494836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.55 % (494836)CaDiCaL version: 2.1.3
% 1.15/0.55 % (494836)Termination reason: Instruction limit
% 1.15/0.55 % (494836)Termination phase: Saturation
% 1.15/0.55 % (494836)Time elapsed: 0.003 s
% 1.15/0.55 % (494836)Peak memory usage: 12 MB
% 1.15/0.55 % (494836)Instructions burned: 5 (million)
% 1.15/0.55 % (494840)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.15/0.55 % (494840)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
% 1.15/0.55 % (494834)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2115771049:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.15/0.55 % (494835)lrs+10_16_si=on:nwc=1.5:random_seed=4289901276:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.15/0.55 % (494838)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3434718177:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.15/0.55 % (494837)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=1853713693: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)
% 1.15/0.55 % (494840)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=1234131564:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.15/0.55 % (494839)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3480122338:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.15/0.55 % (494835)Instruction limit reached!
% 1.15/0.55 % (494835)------------------------------
% 1.15/0.55 % (494835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.55 % (494835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.55 % (494835)CaDiCaL version: 2.1.3
% 1.15/0.55 % (494835)Termination reason: Instruction limit
% 1.15/0.55 % (494835)Termination phase: Saturation
% 1.15/0.55 % (494835)Time elapsed: 0.016 s
% 1.15/0.55 % (494835)Peak memory usage: 12 MB
% 1.15/0.55 % (494835)Instructions burned: 19 (million)
% 1.15/0.55 % (494842)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1283372189:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.15/0.55 % (494838)Instruction limit reached!
% 1.15/0.55 % (494838)------------------------------
% 1.15/0.55 % (494838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.55 % (494838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.55 % (494838)CaDiCaL version: 2.1.3
% 1.15/0.55 % (494838)Termination reason: Instruction limit
% 1.15/0.55 % (494838)Termination phase: Saturation
% 1.15/0.55 % (494838)Time elapsed: 0.022 s
% 1.15/0.55 % (494838)Peak memory usage: 12 MB
% 1.15/0.55 % (494838)Instructions burned: 24 (million)
% 1.15/0.55 % (494842)Instruction limit reached!
% 1.15/0.55 % (494842)------------------------------
% 1.15/0.55 % (494842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.55 % (494842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.55 % (494842)CaDiCaL version: 2.1.3
% 1.15/0.55 % (494842)Termination reason: Instruction limit
% 1.15/0.55 % (494842)Termination phase: Saturation
% 1.15/0.55 % (494842)Time elapsed: 0.003 s
% 1.15/0.55 % (494842)Peak memory usage: 12 MB
% 1.15/0.55 % (494842)Instructions burned: 2 (million)
% 1.15/0.55 % (494849)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2707428942:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.15/0.55 % (494851)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.59 % (494849)Instruction limit reached!
% 1.15/0.59 % (494849)------------------------------
% 1.15/0.59 % (494849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.59 % (494849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.59 % (494849)CaDiCaL version: 2.1.3
% 1.15/0.59 % (494849)Termination reason: Instruction limit
% 1.15/0.59 % (494849)Termination phase: Saturation
% 1.15/0.59 % (494849)Time elapsed: 0.006 s
% 1.15/0.59 % (494849)Peak memory usage: 12 MB
% 1.15/0.59 % (494849)Instructions burned: 5 (million)
% 1.15/0.59 % (494851)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1161850296:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.15/0.59 % (494834)Instruction limit reached!
% 1.15/0.59 % (494834)------------------------------
% 1.15/0.59 % (494834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.59 % (494834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.59 % (494834)CaDiCaL version: 2.1.3
% 1.15/0.59 % (494834)Termination reason: Instruction limit
% 1.15/0.59 % (494834)Termination phase: Saturation
% 1.15/0.59 % (494834)Time elapsed: 0.061 s
% 1.15/0.59 % (494834)Peak memory usage: 12 MB
% 1.15/0.59 % (494834)Instructions burned: 87 (million)
% 1.15/0.59 % (494851)Instruction limit reached!
% 1.15/0.59 % (494851)------------------------------
% 1.15/0.59 % (494851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.59 % (494851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.59 % (494851)CaDiCaL version: 2.1.3
% 1.15/0.59 % (494851)Termination reason: Instruction limit
% 1.15/0.59 % (494851)Termination phase: Saturation
% 1.15/0.59 % (494851)Time elapsed: 0.007 s
% 1.15/0.59 % (494851)Peak memory usage: 12 MB
% 1.15/0.59 % (494851)Instructions burned: 7 (million)
% 1.15/0.59 % (494839)Instruction limit reached!
% 1.15/0.59 % (494839)------------------------------
% 1.15/0.59 % (494839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.59 % (494839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.59 % (494839)CaDiCaL version: 2.1.3
% 1.15/0.59 % (494839)Termination reason: Instruction limit
% 1.15/0.59 % (494839)Termination phase: Saturation
% 1.15/0.59 % (494839)Time elapsed: 0.065 s
% 1.15/0.59 % (494839)Peak memory usage: 12 MB
% 1.15/0.59 % (494839)Instructions burned: 76 (million)
% 1.15/0.59 % (494852)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3702654739:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.15/0.59 % (494855)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
% 1.15/0.59 % (494855)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.59 % (494855)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4174110859:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.15/0.59 % (494852)Instruction limit reached!
% 1.15/0.59 % (494852)------------------------------
% 1.15/0.59 % (494852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.59 % (494852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.59 % (494852)CaDiCaL version: 2.1.3
% 1.15/0.59 % (494852)Termination reason: Instruction limit
% 1.15/0.59 % (494852)Termination phase: Saturation
% 1.15/0.59 % (494852)Time elapsed: 0.008 s
% 1.15/0.59 % (494852)Peak memory usage: 12 MB
% 1.15/0.59 % (494852)Instructions burned: 12 (million)
% 1.15/0.59 % (494858)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.15/0.59 % (494856)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=1748510119:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.15/0.59 % (494857)lrs+10_1_si=on:cs=on:random_seed=3665369452:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.95/0.64 % (494858)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=3356593927:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.95/0.64 % (494858)Instruction limit reached!
% 1.95/0.64 % (494858)------------------------------
% 1.95/0.64 % (494858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.64 % (494858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.64 % (494858)CaDiCaL version: 2.1.3
% 1.95/0.64 % (494858)Termination reason: Instruction limit
% 1.95/0.64 % (494858)Termination phase: Property scanning
% 1.95/0.64 % (494858)Time elapsed: 0.002 s
% 1.95/0.64 % (494857)Instruction limit reached!
% 1.95/0.64 % (494857)------------------------------
% 1.95/0.64 % (494857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.64 % (494858)Peak memory usage: 10 MB
% 1.95/0.64 % (494858)Instructions burned: 2 (million)
% 1.95/0.64 % (494857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.64 % (494857)CaDiCaL version: 2.1.3
% 1.95/0.64 % (494857)Termination reason: Instruction limit
% 1.95/0.64 % (494857)Termination phase: Saturation
% 1.95/0.64 % (494857)Time elapsed: 0.008 s
% 1.95/0.64 % (494857)Peak memory usage: 12 MB
% 1.95/0.64 % (494857)Instructions burned: 8 (million)
% 1.95/0.64 % (494861)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2417367105:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.95/0.64 % (494861)Refutation not found, incomplete strategy
% 1.95/0.64 % (494861)------------------------------
% 1.95/0.64 % (494861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.64 % (494861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.64 % (494861)CaDiCaL version: 2.1.3
% 1.95/0.64 % (494861)Termination reason: Refutation not found, incomplete strategy
% 1.95/0.64 % (494861)Time elapsed: 0.001 s
% 1.95/0.64 % (494861)Peak memory usage: 12 MB
% 1.95/0.64 % (494861)------------------------------
% 1.95/0.64 % (494861)------------------------------
% 1.95/0.64 % (494840)Instruction limit reached!
% 1.95/0.64 % (494840)------------------------------
% 1.95/0.64 % (494840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.64 % (494840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.64 % (494840)CaDiCaL version: 2.1.3
% 1.95/0.64 % (494840)Termination reason: Instruction limit
% 1.95/0.64 % (494840)Termination phase: Saturation
% 1.95/0.64 % (494840)Time elapsed: 0.107 s
% 1.95/0.64 % (494840)Peak memory usage: 12 MB
% 1.95/0.64 % (494840)Instructions burned: 158 (million)
% 1.95/0.64 % (494855)Instruction limit reached!
% 1.95/0.64 % (494855)------------------------------
% 1.95/0.64 % (494855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.64 % (494855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.64 % (494855)CaDiCaL version: 2.1.3
% 1.95/0.64 % (494855)Termination reason: Instruction limit
% 1.95/0.64 % (494855)Termination phase: Saturation
% 1.95/0.64 % (494855)Time elapsed: 0.025 s
% 1.95/0.64 % (494855)Peak memory usage: 12 MB
% 1.95/0.64 % (494855)Instructions burned: 28 (million)
% 1.95/0.64 % (494868)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1978298232:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.95/0.64 % (494868)Instruction limit reached!
% 1.95/0.64 % (494868)------------------------------
% 1.95/0.64 % (494868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.64 % (494868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.64 % (494868)CaDiCaL version: 2.1.3
% 1.95/0.64 % (494868)Termination reason: Instruction limit
% 1.95/0.64 % (494868)Termination phase: Saturation
% 1.95/0.64 % (494868)Time elapsed: 0.007 s
% 1.95/0.64 % (494868)Peak memory usage: 12 MB
% 1.95/0.64 % (494868)Instructions burned: 14 (million)
% 1.95/0.64 % (494865)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=472487036:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.95/0.64 % (494866)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1227206904:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.95/0.64 % (494865)Refutation not found, incomplete strategy
% 2.03/0.69 % (494865)------------------------------
% 2.03/0.69 % (494865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (494865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (494865)CaDiCaL version: 2.1.3
% 2.03/0.69 % (494865)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.69 % (494865)Time elapsed: 0.001 s
% 2.03/0.69 % (494865)Peak memory usage: 11 MB
% 2.03/0.69 % (494865)Instructions burned: 1 (million)
% 2.03/0.69 % (494865)------------------------------
% 2.03/0.69 % (494865)------------------------------
% 2.03/0.69 % (494866)Refutation not found, incomplete strategy
% 2.03/0.69 % (494866)------------------------------
% 2.03/0.69 % (494866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (494866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (494866)CaDiCaL version: 2.1.3
% 2.03/0.69 % (494866)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.69 % (494866)Time elapsed: 0.002 s
% 2.03/0.69 % (494866)Peak memory usage: 11 MB
% 2.03/0.69 % (494866)Instructions burned: 1 (million)
% 2.03/0.69 % (494866)------------------------------
% 2.03/0.69 % (494866)------------------------------
% 2.03/0.69 % (494869)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1705964714:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.03/0.69 % (494870)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1771617426:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.69 % (494869)Refutation not found, incomplete strategy
% 2.03/0.69 % (494869)------------------------------
% 2.03/0.69 % (494869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (494869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (494869)CaDiCaL version: 2.1.3
% 2.03/0.69 % (494869)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.69 % (494869)Time elapsed: 0.001 s
% 2.03/0.69 % (494869)Peak memory usage: 11 MB
% 2.03/0.69 % (494869)Instructions burned: 1 (million)
% 2.03/0.69 % (494869)------------------------------
% 2.03/0.69 % (494869)------------------------------
% 2.03/0.69 % (494870)Instruction limit reached!
% 2.03/0.69 % (494870)------------------------------
% 2.03/0.69 % (494870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (494870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (494870)CaDiCaL version: 2.1.3
% 2.03/0.69 % (494870)Termination reason: Instruction limit
% 2.03/0.69 % (494870)Termination phase: Saturation
% 2.03/0.69 % (494870)Time elapsed: 0.013 s
% 2.03/0.69 % (494870)Peak memory usage: 12 MB
% 2.03/0.69 % (494870)Instructions burned: 15 (million)
% 2.03/0.69 % (494856)Instruction limit reached!
% 2.03/0.69 % (494856)------------------------------
% 2.03/0.69 % (494856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (494856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (494856)CaDiCaL version: 2.1.3
% 2.03/0.69 % (494856)Termination reason: Instruction limit
% 2.03/0.69 % (494856)Termination phase: Saturation
% 2.03/0.69 % (494856)Time elapsed: 0.071 s
% 2.03/0.69 % (494856)Peak memory usage: 12 MB
% 2.03/0.69 % (494856)Instructions burned: 86 (million)
% 2.03/0.69 % (494872)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2272262879: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)
% 2.03/0.69 % (494875)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=187527593:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.03/0.69 % (494876)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1539018031:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.03/0.69 % (494872)Refutation not found, incomplete strategy
% 2.03/0.69 % (494872)------------------------------
% 2.03/0.69 % (494872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (494872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (494872)CaDiCaL version: 2.1.3
% 2.03/0.69 % (494872)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.69 % (494872)Time elapsed: 0.005 s
% 2.03/0.69 % (494872)Peak memory usage: 11 MB
% 2.29/0.72 % (494872)------------------------------
% 2.29/0.72 % (494872)------------------------------
% 2.29/0.72 % (494879)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2631968962:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.29/0.72 % (494880)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
% 2.29/0.72 % (494880)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.29/0.72 % (494880)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=2594018353:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.29/0.72 % (494881)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.29/0.72 % (494876)Instruction limit reached!
% 2.29/0.72 % (494876)------------------------------
% 2.29/0.72 % (494876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (494876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (494876)CaDiCaL version: 2.1.3
% 2.29/0.72 % (494876)Termination reason: Instruction limit
% 2.29/0.72 % (494876)Termination phase: Saturation
% 2.29/0.72 % (494876)Time elapsed: 0.019 s
% 2.29/0.72 % (494876)Peak memory usage: 11 MB
% 2.29/0.72 % (494876)Instructions burned: 24 (million)
% 2.29/0.72 % (494875)Instruction limit reached!
% 2.29/0.72 % (494875)------------------------------
% 2.29/0.72 % (494875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (494875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (494875)CaDiCaL version: 2.1.3
% 2.29/0.72 % (494875)Termination reason: Instruction limit
% 2.29/0.72 % (494875)Termination phase: Saturation
% 2.29/0.72 % (494875)Time elapsed: 0.023 s
% 2.29/0.72 % (494875)Peak memory usage: 12 MB
% 2.29/0.72 % (494875)Instructions burned: 26 (million)
% 2.29/0.72 % (494885)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=3429286499:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.29/0.72 % (494881)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=1815691285:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.29/0.72 % (494880)Instruction limit reached!
% 2.29/0.72 % (494880)------------------------------
% 2.29/0.72 % (494880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (494880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (494880)CaDiCaL version: 2.1.3
% 2.29/0.72 % (494880)Termination reason: Instruction limit
% 2.29/0.72 % (494880)Termination phase: Saturation
% 2.29/0.72 % (494880)Time elapsed: 0.014 s
% 2.29/0.72 % (494880)Peak memory usage: 12 MB
% 2.29/0.72 % (494880)Instructions burned: 14 (million)
% 2.29/0.72 % (494881)Instruction limit reached!
% 2.29/0.72 % (494881)------------------------------
% 2.29/0.72 % (494881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.73 % (494881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.73 % (494881)CaDiCaL version: 2.1.3
% 2.29/0.73 % (494881)Termination reason: Instruction limit
% 2.29/0.73 % (494881)Termination phase: Saturation
% 2.29/0.73 % (494881)Time elapsed: 0.009 s
% 2.29/0.73 % (494881)Peak memory usage: 12 MB
% 2.29/0.73 % (494881)Instructions burned: 8 (million)
% 2.29/0.73 % (494885)Instruction limit reached!
% 2.29/0.73 % (494885)------------------------------
% 2.29/0.73 % (494885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.73 % (494885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.73 % (494885)CaDiCaL version: 2.1.3
% 2.29/0.73 % (494885)Termination reason: Instruction limit
% 2.29/0.73 % (494885)Termination phase: Saturation
% 2.29/0.73 % (494885)Time elapsed: 0.015 s
% 2.29/0.73 % (494885)Peak memory usage: 12 MB
% 2.29/0.73 % (494885)Instructions burned: 32 (million)
% 2.29/0.73 % (494888)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=132242571:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.29/0.79 % (494889)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1430354908:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.29/0.79 % (494894)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4132992944:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.29/0.79 % (494888)Instruction limit reached!
% 2.29/0.79 % (494888)------------------------------
% 2.29/0.79 % (494888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.79 % (494888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.79 % (494888)CaDiCaL version: 2.1.3
% 2.29/0.79 % (494888)Termination reason: Instruction limit
% 2.29/0.79 % (494888)Termination phase: Saturation
% 2.29/0.79 % (494888)Time elapsed: 0.007 s
% 2.29/0.79 % (494888)Peak memory usage: 12 MB
% 2.29/0.79 % (494888)Instructions burned: 7 (million)
% 2.29/0.79 % (494879)Instruction limit reached!
% 2.29/0.79 % (494879)------------------------------
% 2.29/0.79 % (494879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.79 % (494879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.79 % (494879)CaDiCaL version: 2.1.3
% 2.29/0.79 % (494879)Termination reason: Instruction limit
% 2.29/0.79 % (494879)Termination phase: Saturation
% 2.29/0.79 % (494879)Time elapsed: 0.057 s
% 2.29/0.79 % (494879)Peak memory usage: 12 MB
% 2.29/0.79 % (494879)Instructions burned: 60 (million)
% 2.29/0.79 % (494892)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2107857429:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.29/0.79 % (494893)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=210380274:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.29/0.79 % (494889)Instruction limit reached!
% 2.29/0.79 % (494889)------------------------------
% 2.29/0.79 % (494889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.79 % (494889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.79 % (494889)CaDiCaL version: 2.1.3
% 2.29/0.79 % (494889)Termination reason: Instruction limit
% 2.29/0.79 % (494889)Termination phase: Saturation
% 2.29/0.79 % (494889)Time elapsed: 0.019 s
% 2.29/0.79 % (494889)Peak memory usage: 11 MB
% 2.29/0.79 % (494889)Instructions burned: 23 (million)
% 2.29/0.79 % (494892)Instruction limit reached!
% 2.29/0.79 % (494892)------------------------------
% 2.29/0.79 % (494892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.79 % (494892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.79 % (494892)CaDiCaL version: 2.1.3
% 2.29/0.79 % (494892)Termination reason: Instruction limit
% 2.29/0.79 % (494892)Termination phase: Saturation
% 2.29/0.79 % (494892)Time elapsed: 0.020 s
% 2.29/0.79 % (494892)Peak memory usage: 12 MB
% 2.29/0.79 % (494892)Instructions burned: 20 (million)
% 2.29/0.79 % (494898)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2181377652:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.29/0.79 % (494898)Refutation not found, incomplete strategy
% 2.29/0.79 % (494898)------------------------------
% 2.29/0.79 % (494898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.79 % (494898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.79 % (494898)CaDiCaL version: 2.1.3
% 2.29/0.79 % (494898)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.79 % (494898)Time elapsed: 0.001 s
% 2.29/0.79 % (494898)Peak memory usage: 11 MB
% 2.29/0.79 % (494898)Instructions burned: 1 (million)
% 2.29/0.79 % (494900)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2443173173:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.29/0.79 % (494898)------------------------------
% 2.29/0.79 % (494898)------------------------------
% 2.29/0.79 % (494902)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.29/0.79 % (494894)Instruction limit reached!
% 2.29/0.79 % (494894)------------------------------
% 2.29/0.79 % (494894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.79 % (494894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.87 % (494894)CaDiCaL version: 2.1.3
% 2.76/0.87 % (494894)Termination reason: Instruction limit
% 2.76/0.87 % (494894)Termination phase: Saturation
% 2.76/0.87 % (494894)Time elapsed: 0.047 s
% 2.76/0.87 % (494894)Peak memory usage: 12 MB
% 2.76/0.87 % (494894)Instructions burned: 146 (million)
% 2.76/0.87 % (494902)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1692224273:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.76/0.87 % (494902)Instruction limit reached!
% 2.76/0.87 % (494902)------------------------------
% 2.76/0.87 % (494902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.87 % (494902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.87 % (494902)CaDiCaL version: 2.1.3
% 2.76/0.87 % (494902)Termination reason: Instruction limit
% 2.76/0.87 % (494902)Termination phase: Saturation
% 2.76/0.87 % (494902)Time elapsed: 0.008 s
% 2.76/0.87 % (494902)Peak memory usage: 12 MB
% 2.76/0.87 % (494902)Instructions burned: 8 (million)
% 2.76/0.87 % (494903)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=464640763:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.76/0.87 % (494907)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.76/0.87 % (494903)Refutation not found, incomplete strategy
% 2.76/0.87 % (494903)------------------------------
% 2.76/0.87 % (494903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.87 % (494903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.87 % (494903)CaDiCaL version: 2.1.3
% 2.76/0.87 % (494903)Termination reason: Refutation not found, incomplete strategy
% 2.76/0.87 % (494903)Time elapsed: 0.001 s
% 2.76/0.87 % (494903)Peak memory usage: 11 MB
% 2.76/0.87 % (494903)Instructions burned: 1 (million)
% 2.76/0.87 % (494903)------------------------------
% 2.76/0.87 % (494903)------------------------------
% 2.76/0.87 % (494907)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2098381463:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.76/0.87 % (494907)Refutation not found, incomplete strategy
% 2.76/0.87 % (494907)------------------------------
% 2.76/0.87 % (494907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.87 % (494907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.87 % (494907)CaDiCaL version: 2.1.3
% 2.76/0.87 % (494907)Termination reason: Refutation not found, incomplete strategy
% 2.76/0.87 % (494907)Time elapsed: 0.001 s
% 2.76/0.87 % (494907)Peak memory usage: 11 MB
% 2.76/0.87 % (494907)Instructions burned: 1 (million)
% 2.76/0.87 % (494907)------------------------------
% 2.76/0.87 % (494907)------------------------------
% 2.76/0.87 % (494906)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=467216875:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.76/0.87 % (494906)Refutation not found, incomplete strategy
% 2.76/0.87 % (494906)------------------------------
% 2.76/0.87 % (494906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.87 % (494906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.87 % (494906)CaDiCaL version: 2.1.3
% 2.76/0.87 % (494906)Termination reason: Refutation not found, incomplete strategy
% 2.76/0.87 % (494906)Time elapsed: 0.001 s
% 2.76/0.87 % (494906)Peak memory usage: 11 MB
% 2.76/0.87 % (494906)Instructions burned: 1 (million)
% 2.76/0.87 % (494900)Instruction limit reached!
% 2.76/0.87 % (494900)------------------------------
% 2.76/0.87 % (494900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.87 % (494900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.87 % (494900)CaDiCaL version: 2.1.3
% 2.76/0.87 % (494900)Termination reason: Instruction limit
% 2.76/0.87 % (494900)Termination phase: Saturation
% 2.76/0.87 % (494900)Time elapsed: 0.035 s
% 2.76/0.87 % (494900)Peak memory usage: 12 MB
% 2.76/0.87 % (494900)Instructions burned: 42 (million)
% 2.76/0.87 % (494906)------------------------------
% 2.76/0.87 % (494906)------------------------------
% 2.76/0.87 % (494913)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=4157447481:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.23/0.94 % (494909)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2135841795:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.23/0.94 % (494911)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3005528516:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.23/0.94 % (494911)Refutation not found, incomplete strategy
% 3.23/0.94 % (494911)------------------------------
% 3.23/0.94 % (494911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/0.94 % (494911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/0.94 % (494911)CaDiCaL version: 2.1.3
% 3.23/0.94 % (494911)Termination reason: Refutation not found, incomplete strategy
% 3.23/0.94 % (494911)Time elapsed: 0.004 s
% 3.23/0.94 % (494911)Peak memory usage: 12 MB
% 3.23/0.94 % (494911)Instructions burned: 3 (million)
% 3.23/0.94 % (494911)------------------------------
% 3.23/0.94 % (494911)------------------------------
% 3.23/0.94 % (494915)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=3326273008:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.23/0.94 % (494916)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=926922111:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.23/0.94 % (494909)Instruction limit reached!
% 3.23/0.94 % (494909)------------------------------
% 3.23/0.94 % (494909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/0.94 % (494909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/0.94 % (494909)CaDiCaL version: 2.1.3
% 3.23/0.94 % (494909)Termination reason: Instruction limit
% 3.23/0.94 % (494909)Termination phase: Saturation
% 3.23/0.94 % (494909)Time elapsed: 0.020 s
% 3.23/0.94 % (494909)Peak memory usage: 12 MB
% 3.23/0.94 % (494909)Instructions burned: 22 (million)
% 3.23/0.94 % (494920)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=823175734:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.23/0.94 % (494837)Instruction limit reached!
% 3.23/0.94 % (494837)------------------------------
% 3.23/0.94 % (494837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/0.94 % (494837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/0.94 % (494837)CaDiCaL version: 2.1.3
% 3.23/0.94 % (494837)Termination reason: Instruction limit
% 3.23/0.94 % (494837)Termination phase: Saturation
% 3.23/0.94 % (494837)Time elapsed: 0.356 s
% 3.23/0.94 % (494837)Peak memory usage: 13 MB
% 3.23/0.94 % (494837)Instructions burned: 634 (million)
% 3.23/0.94 % (494920)Refutation not found, incomplete strategy
% 3.23/0.94 % (494920)------------------------------
% 3.23/0.94 % (494920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/0.94 % (494920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/0.94 % (494920)CaDiCaL version: 2.1.3
% 3.23/0.94 % (494920)Termination reason: Refutation not found, incomplete strategy
% 3.23/0.94 % (494920)Time elapsed: 0.002 s
% 3.23/0.94 % (494920)Peak memory usage: 12 MB
% 3.23/0.94 % (494920)Instructions burned: 2 (million)
% 3.23/0.94 % (494920)------------------------------
% 3.23/0.94 % (494920)------------------------------
% 3.23/0.94 % (494923)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1062552742:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.23/0.94 % (494916)Instruction limit reached!
% 3.23/0.94 % (494916)------------------------------
% 3.23/0.94 % (494916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/0.94 % (494916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/0.94 % (494916)CaDiCaL version: 2.1.3
% 3.23/0.94 % (494916)Termination reason: Instruction limit
% 3.23/0.94 % (494916)Termination phase: Saturation
% 3.23/0.94 % (494916)Time elapsed: 0.041 s
% 3.23/0.94 % (494916)Peak memory usage: 12 MB
% 3.23/1.01 % (494916)Instructions burned: 45 (million)
% 3.23/1.01 % (494925)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.23/1.01 % (494923)Instruction limit reached!
% 3.23/1.01 % (494923)------------------------------
% 3.23/1.01 % (494923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/1.01 % (494923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.01 % (494923)CaDiCaL version: 2.1.3
% 3.23/1.01 % (494923)Termination reason: Instruction limit
% 3.23/1.01 % (494923)Termination phase: Saturation
% 3.23/1.01 % (494923)Time elapsed: 0.019 s
% 3.23/1.01 % (494923)Peak memory usage: 12 MB
% 3.23/1.01 % (494923)Instructions burned: 21 (million)
% 3.23/1.01 % (494925)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3029017068:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.23/1.01 % (494926)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3179777208:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.23/1.01 % (494928)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=57628496:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.23/1.01 % (494926)Instruction limit reached!
% 3.23/1.01 % (494926)------------------------------
% 3.23/1.01 % (494926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/1.01 % (494926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.01 % (494926)CaDiCaL version: 2.1.3
% 3.23/1.01 % (494926)Termination reason: Instruction limit
% 3.23/1.01 % (494926)Termination phase: Saturation
% 3.23/1.01 % (494926)Time elapsed: 0.014 s
% 3.23/1.01 % (494926)Peak memory usage: 12 MB
% 3.23/1.01 % (494926)Instructions burned: 13 (million)
% 3.23/1.01 % (494929)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1186699957:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.23/1.01 % (494929)Refutation not found, incomplete strategy
% 3.23/1.01 % (494929)------------------------------
% 3.23/1.01 % (494929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/1.01 % (494929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.01 % (494929)CaDiCaL version: 2.1.3
% 3.23/1.01 % (494929)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.01 % (494929)Time elapsed: 0.003 s
% 3.23/1.01 % (494929)Peak memory usage: 12 MB
% 3.23/1.01 % (494929)Instructions burned: 2 (million)
% 3.23/1.01 % (494929)------------------------------
% 3.23/1.01 % (494929)------------------------------
% 3.23/1.01 % (494933)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3369458111:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.23/1.01 % (494913)Instruction limit reached!
% 3.23/1.01 % (494913)------------------------------
% 3.23/1.01 % (494913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/1.01 % (494913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.01 % (494913)CaDiCaL version: 2.1.3
% 3.23/1.01 % (494913)Termination reason: Instruction limit
% 3.23/1.01 % (494913)Termination phase: Saturation
% 3.23/1.01 % (494913)Time elapsed: 0.128 s
% 3.23/1.01 % (494913)Peak memory usage: 13 MB
% 3.23/1.01 % (494913)Instructions burned: 318 (million)
% 3.23/1.01 % (494935)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1163090412:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.23/1.01 % (494937)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=3617251716:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.23/1.01 % (494928)Instruction limit reached!
% 3.23/1.01 % (494928)------------------------------
% 3.23/1.01 % (494928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.23/1.01 % (494928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.01 % (494928)CaDiCaL version: 2.1.3
% 3.23/1.01 % (494928)Termination reason: Instruction limit
% 3.23/1.01 % (494928)Termination phase: Saturation
% 3.23/1.01 % (494928)Time elapsed: 0.051 s
% 3.23/1.01 % (494928)Peak memory usage: 12 MB
% 4.90/1.09 % (494928)Instructions burned: 66 (million)
% 4.90/1.09 % (494933)Instruction limit reached!
% 4.90/1.09 % (494933)------------------------------
% 4.90/1.09 % (494933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (494933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (494933)CaDiCaL version: 2.1.3
% 4.90/1.09 % (494933)Termination reason: Instruction limit
% 4.90/1.09 % (494933)Termination phase: Saturation
% 4.90/1.09 % (494933)Time elapsed: 0.027 s
% 4.90/1.09 % (494933)Peak memory usage: 12 MB
% 4.90/1.09 % (494933)Instructions burned: 31 (million)
% 4.90/1.09 % (494937)Instruction limit reached!
% 4.90/1.09 % (494937)------------------------------
% 4.90/1.09 % (494937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (494937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (494937)CaDiCaL version: 2.1.3
% 4.90/1.09 % (494937)Termination reason: Instruction limit
% 4.90/1.09 % (494937)Termination phase: Saturation
% 4.90/1.09 % (494937)Time elapsed: 0.015 s
% 4.90/1.09 % (494937)Peak memory usage: 12 MB
% 4.90/1.09 % (494937)Instructions burned: 34 (million)
% 4.90/1.09 % (494942)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1073711883:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.90/1.09 % (494940)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=389262962:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 4.90/1.09 % (494942)Refutation not found, incomplete strategy
% 4.90/1.09 % (494942)------------------------------
% 4.90/1.09 % (494942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (494942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (494942)CaDiCaL version: 2.1.3
% 4.90/1.09 % (494942)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.09 % (494942)Time elapsed: 0.001 s
% 4.90/1.09 % (494942)Peak memory usage: 11 MB
% 4.90/1.09 % (494942)Instructions burned: 1 (million)
% 4.90/1.09 % (494942)------------------------------
% 4.90/1.09 % (494942)------------------------------
% 4.90/1.09 % (494940)Refutation not found, incomplete strategy
% 4.90/1.09 % (494940)------------------------------
% 4.90/1.09 % (494940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (494940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (494941)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.90/1.09 % (494940)CaDiCaL version: 2.1.3
% 4.90/1.09 % (494940)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.09 % (494940)Time elapsed: 0.003 s
% 4.90/1.09 % (494940)Peak memory usage: 12 MB
% 4.90/1.09 % (494940)Instructions burned: 2 (million)
% 4.90/1.09 % (494940)------------------------------
% 4.90/1.09 % (494940)------------------------------
% 4.90/1.09 % (494941)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1033831526:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.90/1.09 % (494945)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3999298071:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 4.90/1.09 % (494946)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=309912426:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 4.90/1.09 % (494946)Refutation not found, incomplete strategy
% 4.90/1.09 % (494946)------------------------------
% 4.90/1.09 % (494946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (494946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (494946)CaDiCaL version: 2.1.3
% 4.90/1.09 % (494946)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.09 % (494946)Time elapsed: 0.001 s
% 4.90/1.09 % (494946)Peak memory usage: 11 MB
% 4.90/1.09 % (494946)Instructions burned: 1 (million)
% 4.90/1.09 % (494946)------------------------------
% 4.90/1.09 % (494946)------------------------------
% 4.90/1.09 % (494925)Instruction limit reached!
% 4.90/1.09 % (494925)------------------------------
% 4.90/1.09 % (494925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (494925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (494925)CaDiCaL version: 2.1.3
% 4.90/1.09 % (494925)Termination reason: Instruction limit
% 5.58/1.18 % (494925)Termination phase: Saturation
% 5.58/1.18 % (494925)Time elapsed: 0.139 s
% 5.58/1.18 % (494925)Peak memory usage: 12 MB
% 5.58/1.18 % (494925)Instructions burned: 200 (million)
% 5.58/1.18 % (494945)Instruction limit reached!
% 5.58/1.18 % (494945)------------------------------
% 5.58/1.18 % (494945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.18 % (494945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.18 % (494945)CaDiCaL version: 2.1.3
% 5.58/1.18 % (494945)Termination reason: Instruction limit
% 5.58/1.18 % (494945)Termination phase: Saturation
% 5.58/1.18 % (494945)Time elapsed: 0.039 s
% 5.58/1.18 % (494945)Peak memory usage: 12 MB
% 5.58/1.18 % (494945)Instructions burned: 99 (million)
% 5.58/1.18 % (494935)Instruction limit reached!
% 5.58/1.18 % (494935)------------------------------
% 5.58/1.18 % (494935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.18 % (494935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.18 % (494935)CaDiCaL version: 2.1.3
% 5.58/1.18 % (494935)Termination reason: Instruction limit
% 5.58/1.18 % (494935)Termination phase: Saturation
% 5.58/1.18 % (494935)Time elapsed: 0.100 s
% 5.58/1.18 % (494935)Peak memory usage: 13 MB
% 5.58/1.18 % (494935)Instructions burned: 138 (million)
% 5.58/1.18 % (494950)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2781017977:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.58/1.18 % (494951)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2104477535:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.58/1.18 % (494950)Refutation not found, incomplete strategy
% 5.58/1.18 % (494950)------------------------------
% 5.58/1.18 % (494950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.18 % (494950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.18 % (494950)CaDiCaL version: 2.1.3
% 5.58/1.18 % (494950)Termination reason: Refutation not found, incomplete strategy
% 5.58/1.18 % (494950)Time elapsed: 0.001 s
% 5.58/1.18 % (494950)Peak memory usage: 11 MB
% 5.58/1.18 % (494950)Instructions burned: 1 (million)
% 5.58/1.18 % (494950)------------------------------
% 5.58/1.18 % (494950)------------------------------
% 5.58/1.18 % (494951)Refutation not found, incomplete strategy
% 5.58/1.18 % (494951)------------------------------
% 5.58/1.18 % (494951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.18 % (494951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.18 % (494951)CaDiCaL version: 2.1.3
% 5.58/1.18 % (494951)Termination reason: Refutation not found, incomplete strategy
% 5.58/1.18 % (494951)Time elapsed: 0.002 s
% 5.58/1.18 % (494951)Peak memory usage: 12 MB
% 5.58/1.18 % (494951)Instructions burned: 1 (million)
% 5.58/1.18 % (494952)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2731738381:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.58/1.18 % (494951)------------------------------
% 5.58/1.18 % (494951)------------------------------
% 5.58/1.18 % (494952)Refutation not found, incomplete strategy
% 5.58/1.18 % (494952)------------------------------
% 5.58/1.18 % (494952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.18 % (494952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.18 % (494952)CaDiCaL version: 2.1.3
% 5.58/1.18 % (494952)Termination reason: Refutation not found, incomplete strategy
% 5.58/1.18 % (494952)Time elapsed: 0.001 s
% 5.58/1.18 % (494952)Peak memory usage: 11 MB
% 5.58/1.18 % (494952)Instructions burned: 1 (million)
% 5.58/1.18 % (494952)------------------------------
% 5.58/1.18 % (494952)------------------------------
% 5.58/1.18 % (494959)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4168947731:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.58/1.18 % (494953)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=9635730:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.58/1.18 % (494957)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2554232281:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.58/1.18 % (494958)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=973689984:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 6.08/1.30 % (494957)Refutation not found, incomplete strategy
% 6.08/1.30 % (494957)------------------------------
% 6.08/1.30 % (494957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (494957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (494957)CaDiCaL version: 2.1.3
% 6.08/1.30 % (494957)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.30 % (494957)Time elapsed: 0.003 s
% 6.08/1.30 % (494957)Peak memory usage: 12 MB
% 6.08/1.30 % (494957)Instructions burned: 2 (million)
% 6.08/1.30 % (494957)------------------------------
% 6.08/1.30 % (494957)------------------------------
% 6.08/1.30 % (494959)Instruction limit reached!
% 6.08/1.30 % (494959)------------------------------
% 6.08/1.30 % (494959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (494959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (494959)CaDiCaL version: 2.1.3
% 6.08/1.30 % (494959)Termination reason: Instruction limit
% 6.08/1.30 % (494959)Termination phase: Saturation
% 6.08/1.30 % (494959)Time elapsed: 0.038 s
% 6.08/1.30 % (494959)Peak memory usage: 12 MB
% 6.08/1.30 % (494959)Instructions burned: 96 (million)
% 6.08/1.30 % (494953)Instruction limit reached!
% 6.08/1.30 % (494953)------------------------------
% 6.08/1.30 % (494953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (494953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (494953)CaDiCaL version: 2.1.3
% 6.08/1.30 % (494953)Termination reason: Instruction limit
% 6.08/1.30 % (494953)Termination phase: Saturation
% 6.08/1.30 % (494953)Time elapsed: 0.039 s
% 6.08/1.30 % (494953)Peak memory usage: 12 MB
% 6.08/1.30 % (494953)Instructions burned: 44 (million)
% 6.08/1.30 % (494964)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=3247808314:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 6.08/1.30 % (494965)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=1933841228: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_2993 on theBenchmark for (2993ds/105Mi)
% 6.08/1.30 % (494941)Instruction limit reached!
% 6.08/1.30 % (494941)------------------------------
% 6.08/1.30 % (494941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (494941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (494941)CaDiCaL version: 2.1.3
% 6.08/1.30 % (494941)Termination reason: Instruction limit
% 6.08/1.30 % (494941)Termination phase: Saturation
% 6.08/1.30 % (494941)Time elapsed: 0.142 s
% 6.08/1.30 % (494941)Peak memory usage: 12 MB
% 6.08/1.30 % (494941)Instructions burned: 181 (million)
% 6.08/1.30 % (494966)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=724898096:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 6.08/1.30 % (494966)Refutation not found, incomplete strategy
% 6.08/1.30 % (494966)------------------------------
% 6.08/1.30 % (494966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (494966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (494966)CaDiCaL version: 2.1.3
% 6.08/1.30 % (494966)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.30 % (494966)Time elapsed: 0.002 s
% 6.08/1.30 % (494966)Peak memory usage: 12 MB
% 6.08/1.30 % (494966)Instructions burned: 1 (million)
% 6.08/1.30 % (494966)------------------------------
% 6.08/1.30 % (494966)------------------------------
% 6.08/1.30 % (494969)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2440111688:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.08/1.30 % (494969)Refutation not found, incomplete strategy
% 6.08/1.30 % (494969)------------------------------
% 6.08/1.30 % (494969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (494969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.41 % (494969)CaDiCaL version: 2.1.3
% 6.59/1.41 % (494969)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.41 % (494969)Time elapsed: 0.001 s
% 6.59/1.41 % (494969)Peak memory usage: 11 MB
% 6.59/1.41 % (494969)Instructions burned: 1 (million)
% 6.59/1.41 % (494969)------------------------------
% 6.59/1.41 % (494969)------------------------------
% 6.59/1.41 % (494964)Instruction limit reached!
% 6.59/1.41 % (494964)------------------------------
% 6.59/1.41 % (494964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.41 % (494964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.41 % (494964)CaDiCaL version: 2.1.3
% 6.59/1.41 % (494964)Termination reason: Instruction limit
% 6.59/1.41 % (494964)Termination phase: Saturation
% 6.59/1.41 % (494964)Time elapsed: 0.055 s
% 6.59/1.41 % (494964)Peak memory usage: 12 MB
% 6.59/1.41 % (494964)Instructions burned: 65 (million)
% 6.59/1.41 % (494965)Instruction limit reached!
% 6.59/1.41 % (494965)------------------------------
% 6.59/1.41 % (494965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.41 % (494965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.41 % (494965)CaDiCaL version: 2.1.3
% 6.59/1.41 % (494965)Termination reason: Instruction limit
% 6.59/1.41 % (494965)Termination phase: Saturation
% 6.59/1.41 % (494965)Time elapsed: 0.048 s
% 6.59/1.41 % (494965)Peak memory usage: 12 MB
% 6.59/1.41 % (494965)Instructions burned: 105 (million)
% 6.59/1.41 % (494971)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1554706921:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 6.59/1.41 % (494975)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4235351323:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.59/1.41 % (494975)Refutation not found, incomplete strategy
% 6.59/1.41 % (494975)------------------------------
% 6.59/1.41 % (494975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.41 % (494975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.41 % (494975)CaDiCaL version: 2.1.3
% 6.59/1.41 % (494975)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.41 % (494975)Time elapsed: 0.0000 s
% 6.59/1.41 % (494975)Peak memory usage: 11 MB
% 6.59/1.41 % (494975)------------------------------
% 6.59/1.41 % (494975)------------------------------
% 6.59/1.41 % (494973)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=1190679812:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.59/1.41 % (494974)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2575876444:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.59/1.41 % (494978)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2384418522:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.59/1.41 % (494978)Instruction limit reached!
% 6.59/1.41 % (494978)------------------------------
% 6.59/1.41 % (494978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.41 % (494978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.41 % (494978)CaDiCaL version: 2.1.3
% 6.59/1.41 % (494978)Termination reason: Instruction limit
% 6.59/1.41 % (494978)Termination phase: Saturation
% 6.59/1.41 % (494978)Time elapsed: 0.010 s
% 6.59/1.41 % (494978)Peak memory usage: 12 MB
% 6.59/1.41 % (494978)Instructions burned: 24 (million)
% 6.59/1.41 % (494973)Instruction limit reached!
% 6.59/1.41 % (494973)------------------------------
% 6.59/1.41 % (494973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.41 % (494973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.41 % (494973)CaDiCaL version: 2.1.3
% 6.59/1.41 % (494973)Termination reason: Instruction limit
% 6.59/1.41 % (494973)Termination phase: Saturation
% 6.59/1.41 % (494973)Time elapsed: 0.031 s
% 6.59/1.41 % (494973)Peak memory usage: 12 MB
% 6.59/1.41 % (494973)Instructions burned: 34 (million)
% 6.59/1.41 % (494982)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=3491407759:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.59/1.41 % (494983)lrs+10_1_sil=128000:si=on:urr=on:random_seed=602022816:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.99/1.56 % (494983)Refutation not found, incomplete strategy
% 6.99/1.56 % (494983)------------------------------
% 6.99/1.56 % (494983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.56 % (494983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.56 % (494983)CaDiCaL version: 2.1.3
% 6.99/1.56 % (494983)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.56 % (494983)Time elapsed: 0.001 s
% 6.99/1.56 % (494983)Peak memory usage: 11 MB
% 6.99/1.56 % (494983)Instructions burned: 1 (million)
% 6.99/1.56 % (494983)------------------------------
% 6.99/1.56 % (494983)------------------------------
% 6.99/1.56 % (494974)Instruction limit reached!
% 6.99/1.56 % (494974)------------------------------
% 6.99/1.56 % (494974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.56 % (494974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.56 % (494974)CaDiCaL version: 2.1.3
% 6.99/1.56 % (494974)Termination reason: Instruction limit
% 6.99/1.56 % (494974)Termination phase: Saturation
% 6.99/1.56 % (494974)Time elapsed: 0.065 s
% 6.99/1.56 % (494974)Peak memory usage: 12 MB
% 6.99/1.56 % (494974)Instructions burned: 92 (million)
% 6.99/1.56 % (494986)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.99/1.56 % (494986)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2329073368:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 6.99/1.56 % (494915)Instruction limit reached!
% 6.99/1.56 % (494915)------------------------------
% 6.99/1.56 % (494915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.56 % (494915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.56 % (494915)CaDiCaL version: 2.1.3
% 6.99/1.56 % (494915)Termination reason: Instruction limit
% 6.99/1.56 % (494915)Termination phase: Saturation
% 6.99/1.56 % (494915)Time elapsed: 0.482 s
% 6.99/1.56 % (494915)Peak memory usage: 13 MB
% 6.99/1.56 % (494915)Instructions burned: 855 (million)
% 6.99/1.56 % (494987)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=3733049315:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.99/1.56 % (494958)Instruction limit reached!
% 6.99/1.56 % (494958)------------------------------
% 6.99/1.56 % (494958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.56 % (494958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.56 % (494958)CaDiCaL version: 2.1.3
% 6.99/1.56 % (494958)Termination reason: Instruction limit
% 6.99/1.56 % (494958)Termination phase: Saturation
% 6.99/1.56 % (494958)Time elapsed: 0.247 s
% 6.99/1.56 % (494958)Peak memory usage: 12 MB
% 6.99/1.56 % (494958)Instructions burned: 451 (million)
% 6.99/1.56 % (494990)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2749465888:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.99/1.56 % (494990)Refutation not found, incomplete strategy
% 6.99/1.56 % (494990)------------------------------
% 6.99/1.56 % (494990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.56 % (494990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.56 % (494990)CaDiCaL version: 2.1.3
% 6.99/1.56 % (494990)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.56 % (494990)Time elapsed: 0.001 s
% 6.99/1.56 % (494990)Peak memory usage: 11 MB
% 6.99/1.56 % (494990)------------------------------
% 6.99/1.56 % (494990)------------------------------
% 6.99/1.56 % (494991)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.99/1.56 % (494991)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4232059846:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.99/1.56 % (494993)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1548829022:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.99/1.56 % (494982)Instruction limit reached!
% 6.99/1.56 % (494982)------------------------------
% 7.95/1.62 % (494982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.62 % (494982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.62 % (494982)CaDiCaL version: 2.1.3
% 7.95/1.62 % (494982)Termination reason: Instruction limit
% 7.95/1.62 % (494982)Termination phase: Saturation
% 7.95/1.62 % (494982)Time elapsed: 0.136 s
% 7.95/1.62 % (494982)Peak memory usage: 14 MB
% 7.95/1.62 % (494982)Instructions burned: 338 (million)
% 7.95/1.62 % (494996)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2115487053:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.95/1.62 % (494986)Instruction limit reached!
% 7.95/1.62 % (494986)------------------------------
% 7.95/1.62 % (494986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.62 % (494986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.62 % (494986)CaDiCaL version: 2.1.3
% 7.95/1.62 % (494986)Termination reason: Instruction limit
% 7.95/1.62 % (494986)Termination phase: Saturation
% 7.95/1.62 % (494986)Time elapsed: 0.100 s
% 7.95/1.62 % (494986)Peak memory usage: 12 MB
% 7.95/1.62 % (494986)Instructions burned: 137 (million)
% 7.95/1.62 % (494996)Refutation not found, incomplete strategy
% 7.95/1.62 % (494996)------------------------------
% 7.95/1.62 % (494996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.62 % (494996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.62 % (494996)CaDiCaL version: 2.1.3
% 7.95/1.62 % (494996)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.62 % (494996)Time elapsed: 0.001 s
% 7.95/1.62 % (494996)Peak memory usage: 12 MB
% 7.95/1.62 % (494996)Instructions burned: 2 (million)
% 7.95/1.62 % (494996)------------------------------
% 7.95/1.62 % (494996)------------------------------
% 7.95/1.62 % (494999)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=686114925: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_2990 on theBenchmark for (2990ds/9840Mi)
% 7.95/1.62 % (494998)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1211886033:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.95/1.62 % (494993)Instruction limit reached!
% 7.95/1.62 % (494993)------------------------------
% 7.95/1.62 % (494993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.62 % (494993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.62 % (494993)CaDiCaL version: 2.1.3
% 7.95/1.62 % (494993)Termination reason: Instruction limit
% 7.95/1.62 % (494993)Termination phase: Saturation
% 7.95/1.62 % (494993)Time elapsed: 0.076 s
% 7.95/1.62 % (494993)Peak memory usage: 12 MB
% 7.95/1.62 % (494993)Instructions burned: 118 (million)
% 7.95/1.62 % (494893)Instruction limit reached!
% 7.95/1.62 % (494893)------------------------------
% 7.95/1.62 % (494893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.62 % (494893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.62 % (494893)CaDiCaL version: 2.1.3
% 7.95/1.62 % (494893)Termination reason: Instruction limit
% 7.95/1.62 % (494893)Termination phase: Saturation
% 7.95/1.62 % (494893)Time elapsed: 0.719 s
% 7.95/1.62 % (494893)Peak memory usage: 13 MB
% 7.95/1.62 % (494893)Instructions burned: 1240 (million)
% 7.95/1.62 % (495003)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
% 7.95/1.62 % (495002)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=795851026:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.95/1.62 % (495002)Refutation not found, incomplete strategy
% 7.95/1.62 % (495002)------------------------------
% 7.95/1.62 % (495002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.62 % (495002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.62 % (495002)CaDiCaL version: 2.1.3
% 7.95/1.62 % (495002)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.62 % (495002)Time elapsed: 0.001 s
% 7.95/1.62 % (495002)Peak memory usage: 11 MB
% 7.95/1.67 % (495002)Instructions burned: 1 (million)
% 7.95/1.67 % (495002)------------------------------
% 7.95/1.67 % (495002)------------------------------
% 7.95/1.67 % (495003)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=4097506587:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.95/1.67 % (495006)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=123433486:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.95/1.67 % (495006)Instruction limit reached!
% 7.95/1.67 % (495006)------------------------------
% 7.95/1.67 % (495006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.67 % (495006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.67 % (495006)CaDiCaL version: 2.1.3
% 7.95/1.67 % (495006)Termination reason: Instruction limit
% 7.95/1.67 % (495006)Termination phase: Saturation
% 7.95/1.67 % (495006)Time elapsed: 0.026 s
% 7.95/1.67 % (495006)Peak memory usage: 12 MB
% 7.95/1.67 % (495006)Instructions burned: 31 (million)
% 7.95/1.67 % (495008)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.95/1.67 % (495008)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
% 7.95/1.67 % (494987)Instruction limit reached!
% 7.95/1.67 % (494987)------------------------------
% 7.95/1.67 % (494987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.67 % (494987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.67 % (494987)CaDiCaL version: 2.1.3
% 7.95/1.67 % (494987)Termination reason: Instruction limit
% 7.95/1.67 % (494987)Termination phase: Saturation
% 7.95/1.67 % (494987)Time elapsed: 0.262 s
% 7.95/1.67 % (494987)Peak memory usage: 13 MB
% 7.95/1.67 % (494987)Instructions burned: 340 (million)
% 7.95/1.67 % (494971)Instruction limit reached!
% 7.95/1.67 % (494971)------------------------------
% 7.95/1.67 % (494971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.67 % (494971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.67 % (494971)CaDiCaL version: 2.1.3
% 7.95/1.67 % (494971)Termination reason: Instruction limit
% 7.95/1.67 % (494971)Termination phase: Saturation
% 7.95/1.67 % (494971)Time elapsed: 0.388 s
% 7.95/1.67 % (494971)Peak memory usage: 13 MB
% 7.95/1.67 % (494971)Instructions burned: 496 (million)
% 7.95/1.67 % (495008)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=300567822:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.95/1.67 % (495009)dis+10_2_sil=128000:si=on:random_seed=3892177211:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 7.95/1.67 % (495009)Refutation not found, incomplete strategy
% 7.95/1.67 % (495009)------------------------------
% 7.95/1.67 % (495009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.67 % (495009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.67 % (495009)CaDiCaL version: 2.1.3
% 7.95/1.67 % (495009)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.67 % (495009)Time elapsed: 0.001 s
% 7.95/1.67 % (495009)Peak memory usage: 11 MB
% 7.95/1.67 % (495009)Instructions burned: 1 (million)
% 7.95/1.67 % (495011)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1407910069:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 7.95/1.67 % (495009)------------------------------
% 7.95/1.67 % (495009)------------------------------
% 7.95/1.67 % (495014)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=1576778051:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 7.95/1.67 % (495014)Refutation not found, incomplete strategy
% 7.95/1.67 % (495014)------------------------------
% 7.95/1.67 % (495014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.67 % (495014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (495014)CaDiCaL version: 2.1.3
% 8.78/1.87 % (495014)Termination reason: Refutation not found, incomplete strategy
% 8.78/1.87 % (495014)Time elapsed: 0.001 s
% 8.78/1.87 % (495014)Peak memory usage: 11 MB
% 8.78/1.87 % (495014)Instructions burned: 1 (million)
% 8.78/1.87 % (494998)Instruction limit reached!
% 8.78/1.87 % (494998)------------------------------
% 8.78/1.87 % (494998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.87 % (494998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (494998)CaDiCaL version: 2.1.3
% 8.78/1.87 % (494998)Termination reason: Instruction limit
% 8.78/1.87 % (494998)Termination phase: Saturation
% 8.78/1.87 % (494998)Time elapsed: 0.211 s
% 8.78/1.87 % (494998)Peak memory usage: 12 MB
% 8.78/1.87 % (494998)Instructions burned: 270 (million)
% 8.78/1.87 % (495014)------------------------------
% 8.78/1.87 % (495014)------------------------------
% 8.78/1.87 % (495003)Instruction limit reached!
% 8.78/1.87 % (495003)------------------------------
% 8.78/1.87 % (495003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.87 % (495003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (495003)CaDiCaL version: 2.1.3
% 8.78/1.87 % (495003)Termination reason: Instruction limit
% 8.78/1.87 % (495003)Termination phase: Saturation
% 8.78/1.87 % (495003)Time elapsed: 0.179 s
% 8.78/1.87 % (495003)Peak memory usage: 12 MB
% 8.78/1.87 % (495003)Instructions burned: 271 (million)
% 8.78/1.87 % (495016)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=2841049861:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.78/1.87 % (495017)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2595997458:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.78/1.87 % (495017)Refutation not found, incomplete strategy
% 8.78/1.87 % (495017)------------------------------
% 8.78/1.87 % (495017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.87 % (495017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (495017)CaDiCaL version: 2.1.3
% 8.78/1.87 % (495017)Termination reason: Refutation not found, incomplete strategy
% 8.78/1.87 % (495017)Time elapsed: 0.001 s
% 8.78/1.87 % (495017)Peak memory usage: 11 MB
% 8.78/1.87 % (495017)Instructions burned: 1 (million)
% 8.78/1.87 % (495016)Refutation not found, incomplete strategy
% 8.78/1.87 % (495016)------------------------------
% 8.78/1.87 % (495016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.87 % (495016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (495016)CaDiCaL version: 2.1.3
% 8.78/1.87 % (495016)Termination reason: Refutation not found, incomplete strategy
% 8.78/1.87 % (495016)Time elapsed: 0.003 s
% 8.78/1.87 % (495016)Peak memory usage: 12 MB
% 8.78/1.87 % (495016)Instructions burned: 2 (million)
% 8.78/1.87 % (495017)------------------------------
% 8.78/1.87 % (495017)------------------------------
% 8.78/1.87 % (495016)------------------------------
% 8.78/1.87 % (495016)------------------------------
% 8.78/1.87 % (494991)Instruction limit reached!
% 8.78/1.87 % (494991)------------------------------
% 8.78/1.87 % (494991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.87 % (494991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (494991)CaDiCaL version: 2.1.3
% 8.78/1.87 % (494991)Termination reason: Instruction limit
% 8.78/1.87 % (494991)Termination phase: Saturation
% 8.78/1.87 % (494991)Time elapsed: 0.310 s
% 8.78/1.87 % (494991)Peak memory usage: 12 MB
% 8.78/1.87 % (494991)Instructions burned: 373 (million)
% 8.78/1.87 % (495011)Instruction limit reached!
% 8.78/1.87 % (495011)------------------------------
% 8.78/1.87 % (495011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.87 % (495011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.87 % (495011)CaDiCaL version: 2.1.3
% 8.78/1.87 % (495011)Termination reason: Instruction limit
% 8.78/1.87 % (495011)Termination phase: Saturation
% 8.78/1.87 % (495011)Time elapsed: 0.089 s
% 8.78/1.87 % (495011)Peak memory usage: 12 MB
% 8.78/1.87 % (495011)Instructions burned: 111 (million)
% 8.78/1.87 % (495018)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=3972523079:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 9.57/2.01 % (495018)Refutation not found, incomplete strategy
% 9.57/2.01 % (495018)------------------------------
% 9.57/2.01 % (495018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.57/2.01 % (495018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.01 % (495018)CaDiCaL version: 2.1.3
% 9.57/2.01 % (495018)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.01 % (495018)Time elapsed: 0.004 s
% 9.57/2.01 % (495018)Peak memory usage: 11 MB
% 9.57/2.01 % (495018)Instructions burned: 3 (million)
% 9.57/2.01 % (495018)------------------------------
% 9.57/2.01 % (495018)------------------------------
% 9.57/2.01 % (495021)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.57/2.01 % (495022)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3981401039:i=619:add=on:rtra=on_2987 on theBenchmark for (2987ds/619Mi)
% 9.57/2.01 % (495023)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=1727814153:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/865Mi)
% 9.57/2.01 % (495021)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=3994673278:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 9.57/2.01 % (495022)Refutation not found, incomplete strategy
% 9.57/2.01 % (495022)------------------------------
% 9.57/2.01 % (495022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.57/2.01 % (495022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.01 % (495022)CaDiCaL version: 2.1.3
% 9.57/2.01 % (495022)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.01 % (495022)Time elapsed: 0.004 s
% 9.57/2.01 % (495022)Peak memory usage: 12 MB
% 9.57/2.01 % (495022)Instructions burned: 3 (million)
% 9.57/2.01 % (495022)------------------------------
% 9.57/2.01 % (495022)------------------------------
% 9.57/2.01 % (495024)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1448099412:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 9.57/2.01 % (495024)Refutation not found, incomplete strategy
% 9.57/2.01 % (495024)------------------------------
% 9.57/2.01 % (495024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.57/2.01 % (495024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.01 % (495024)CaDiCaL version: 2.1.3
% 9.57/2.01 % (495024)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.01 % (495024)Time elapsed: 0.001 s
% 9.57/2.01 % (495024)Peak memory usage: 11 MB
% 9.57/2.01 % (495024)Instructions burned: 1 (million)
% 9.57/2.01 % (495024)------------------------------
% 9.57/2.01 % (495024)------------------------------
% 9.57/2.01 % (495026)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=14444236:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.57/2.01 % (495026)Refutation not found, incomplete strategy
% 9.57/2.01 % (495026)------------------------------
% 9.57/2.01 % (495026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.57/2.02 % (495026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.02 % (495026)CaDiCaL version: 2.1.3
% 9.57/2.02 % (495026)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.02 % (495026)Time elapsed: 0.001 s
% 9.57/2.02 % (495026)Peak memory usage: 11 MB
% 9.57/2.02 % (495026)Instructions burned: 1 (million)
% 9.57/2.02 % (495026)------------------------------
% 9.57/2.02 % (495026)------------------------------
% 9.57/2.02 % (495030)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=392097035:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.57/2.02 % (495030)Refutation not found, incomplete strategy
% 9.57/2.02 % (495030)------------------------------
% 9.57/2.02 % (495030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.57/2.02 % (495030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.02 % (495030)CaDiCaL version: 2.1.3
% 9.57/2.02 % (495030)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.02 % (495030)Time elapsed: 0.002 s
% 13.33/2.36 % (495030)Peak memory usage: 11 MB
% 13.33/2.36 % (495030)Instructions burned: 1 (million)
% 13.33/2.36 % (495030)------------------------------
% 13.33/2.36 % (495030)------------------------------
% 13.33/2.36 % (495032)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2988471774:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 13.33/2.36 % (495034)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3306411011:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 13.33/2.36 % (495036)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1090949296:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/387Mi)
% 13.33/2.36 % (495036)Refutation not found, incomplete strategy
% 13.33/2.36 % (495036)------------------------------
% 13.33/2.36 % (495036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.36 % (495036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.36 % (495036)CaDiCaL version: 2.1.3
% 13.33/2.36 % (495036)Termination reason: Refutation not found, incomplete strategy
% 13.33/2.36 % (495036)Time elapsed: 0.002 s
% 13.33/2.36 % (495036)Peak memory usage: 11 MB
% 13.33/2.36 % (495036)Instructions burned: 1 (million)
% 13.33/2.36 % (495036)------------------------------
% 13.33/2.36 % (495036)------------------------------
% 13.33/2.36 % (495040)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=2355081849:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2986 on theBenchmark for (2986ds/148Mi)
% 13.33/2.36 % (495034)Instruction limit reached!
% 13.33/2.36 % (495034)------------------------------
% 13.33/2.36 % (495034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.36 % (495034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.36 % (495034)CaDiCaL version: 2.1.3
% 13.33/2.36 % (495034)Termination reason: Instruction limit
% 13.33/2.36 % (495034)Termination phase: Saturation
% 13.33/2.36 % (495034)Time elapsed: 0.056 s
% 13.33/2.36 % (495034)Peak memory usage: 12 MB
% 13.33/2.36 % (495034)Instructions burned: 75 (million)
% 13.33/2.36 % (495042)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3281503716:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 13.33/2.36 % (495032)Instruction limit reached!
% 13.33/2.36 % (495032)------------------------------
% 13.33/2.36 % (495032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.36 % (495032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.36 % (495032)CaDiCaL version: 2.1.3
% 13.33/2.36 % (495032)Termination reason: Instruction limit
% 13.33/2.36 % (495032)Termination phase: Saturation
% 13.33/2.36 % (495032)Time elapsed: 0.125 s
% 13.33/2.36 % (495032)Peak memory usage: 12 MB
% 13.33/2.36 % (495032)Instructions burned: 152 (million)
% 13.33/2.36 % (495044)lrs+10_1_sil=128000:si=on:random_seed=3302123827:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/888Mi)
% 13.33/2.36 % (495044)Refutation not found, incomplete strategy
% 13.33/2.36 % (495044)------------------------------
% 13.33/2.36 % (495044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.36 % (495044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.36 % (495044)CaDiCaL version: 2.1.3
% 13.33/2.36 % (495044)Termination reason: Refutation not found, incomplete strategy
% 13.33/2.36 % (495044)Time elapsed: 0.001 s
% 13.33/2.36 % (495044)Peak memory usage: 11 MB
% 13.33/2.36 % (495044)Instructions burned: 1 (million)
% 13.33/2.36 % (495044)------------------------------
% 13.33/2.36 % (495044)------------------------------
% 13.33/2.36 % (495040)Instruction limit reached!
% 13.33/2.36 % (495040)------------------------------
% 13.33/2.36 % (495040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.36 % (495040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.36 % (495040)CaDiCaL version: 2.1.3
% 13.33/2.36 % (495040)Termination reason: Instruction limit
% 13.33/2.36 % (495040)Termination phase: Saturation
% 13.33/2.36 % (495040)Time elapsed: 0.116 s
% 13.33/2.36 % (495040)Peak memory usage: 12 MB
% 13.33/2.36 % (495040)Instructions burned: 148 (million)
% 13.33/2.36 % (495042)Instruction limit reached!
% 13.33/2.36 % (495042)------------------------------
% 13.33/2.36 % (495042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.05/2.60 % (495042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/2.60 % (495042)CaDiCaL version: 2.1.3
% 15.05/2.60 % (495042)Termination reason: Instruction limit
% 15.05/2.60 % (495042)Termination phase: Saturation
% 15.05/2.60 % (495042)Time elapsed: 0.093 s
% 15.05/2.60 % (495042)Peak memory usage: 12 MB
% 15.05/2.60 % (495042)Instructions burned: 162 (million)
% 15.05/2.60 % (495046)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=3891824433:i=136:add=on:ins=4:rtra=on:sup=off_2985 on theBenchmark for (2985ds/136Mi)
% 15.05/2.60 % (495021)Instruction limit reached!
% 15.05/2.60 % (495021)------------------------------
% 15.05/2.60 % (495021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.05/2.60 % (495021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/2.60 % (495021)CaDiCaL version: 2.1.3
% 15.05/2.60 % (495021)Termination reason: Instruction limit
% 15.05/2.60 % (495021)Termination phase: Saturation
% 15.05/2.60 % (495021)Time elapsed: 0.251 s
% 15.05/2.60 % (495021)Peak memory usage: 13 MB
% 15.05/2.60 % (495021)Instructions burned: 282 (million)
% 15.05/2.60 % (495046)Refutation not found, incomplete strategy
% 15.05/2.60 % (495046)------------------------------
% 15.05/2.60 % (495046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.05/2.60 % (495046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/2.60 % (495046)CaDiCaL version: 2.1.3
% 15.05/2.60 % (495046)Termination reason: Refutation not found, incomplete strategy
% 15.05/2.60 % (495046)Time elapsed: 0.004 s
% 15.05/2.60 % (495046)Peak memory usage: 12 MB
% 15.05/2.60 % (495046)Instructions burned: 3 (million)
% 15.05/2.60 % (495047)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=909814255:i=88:s2at=3:nm=2:rtra=on:rawr=on_2985 on theBenchmark for (2985ds/88Mi)
% 15.05/2.60 % (495046)------------------------------
% 15.05/2.60 % (495046)------------------------------
% 15.05/2.60 % (495048)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3278564551:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2984 on theBenchmark for (2984ds/93Mi)
% 15.05/2.60 % (495051)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1669207603:i=2186:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/2186Mi)
% 15.05/2.60 % (495052)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3843083476:s2a=on:i=240:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/240Mi)
% 15.05/2.60 % (495047)Instruction limit reached!
% 15.05/2.60 % (495047)------------------------------
% 15.05/2.60 % (495047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.05/2.60 % (495047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/2.60 % (495047)CaDiCaL version: 2.1.3
% 15.05/2.60 % (495047)Termination reason: Instruction limit
% 15.05/2.60 % (495047)Termination phase: Saturation
% 15.05/2.60 % (495047)Time elapsed: 0.065 s
% 15.05/2.60 % (495047)Peak memory usage: 12 MB
% 15.05/2.60 % (495047)Instructions burned: 88 (million)
% 15.05/2.60 % (495056)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=249916956:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 15.05/2.60 % (495048)Instruction limit reached!
% 15.05/2.60 % (495048)------------------------------
% 15.05/2.60 % (495048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.05/2.60 % (495048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/2.60 % (495048)CaDiCaL version: 2.1.3
% 15.05/2.60 % (495048)Termination reason: Instruction limit
% 15.05/2.60 % (495048)Termination phase: Saturation
% 15.05/2.60 % (495048)Time elapsed: 0.079 s
% 15.05/2.60 % (495048)Peak memory usage: 12 MB
% 15.05/2.60 % (495048)Instructions burned: 94 (million)
% 15.05/2.60 % (495058)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 15.05/2.60 % (495058)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=3102280096:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2983 on theBenchmark for (2983ds/391Mi)
% 16.56/2.82 % (495058)Refutation not found, incomplete strategy
% 16.56/2.82 % (495058)------------------------------
% 16.56/2.82 % (495058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.56/2.82 % (495058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/2.82 % (495058)CaDiCaL version: 2.1.3
% 16.56/2.82 % (495058)Termination reason: Refutation not found, incomplete strategy
% 16.56/2.82 % (495058)Time elapsed: 0.002 s
% 16.56/2.82 % (495058)Peak memory usage: 11 MB
% 16.56/2.82 % (495058)Instructions burned: 1 (million)
% 16.56/2.82 % (495058)------------------------------
% 16.56/2.82 % (495058)------------------------------
% 16.56/2.82 % (495060)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1793936086:i=355:av=off:fsr=off:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/355Mi)
% 16.56/2.82 % (495052)Instruction limit reached!
% 16.56/2.82 % (495052)------------------------------
% 16.56/2.82 % (495052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.56/2.82 % (495052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/2.82 % (495052)CaDiCaL version: 2.1.3
% 16.56/2.82 % (495052)Termination reason: Instruction limit
% 16.56/2.82 % (495052)Termination phase: Saturation
% 16.56/2.82 % (495052)Time elapsed: 0.168 s
% 16.56/2.82 % (495052)Peak memory usage: 13 MB
% 16.56/2.82 % (495052)Instructions burned: 241 (million)
% 16.56/2.82 % (495062)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2754450228:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/314Mi)
% 16.56/2.82 % (495062)Refutation not found, incomplete strategy
% 16.56/2.82 % (495062)------------------------------
% 16.56/2.82 % (495062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.56/2.82 % (495062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/2.82 % (495062)CaDiCaL version: 2.1.3
% 16.56/2.82 % (495062)Termination reason: Refutation not found, incomplete strategy
% 16.56/2.82 % (495062)Time elapsed: 0.002 s
% 16.56/2.82 % (495062)Peak memory usage: 12 MB
% 16.56/2.82 % (495062)Instructions burned: 1 (million)
% 16.56/2.82 % (495062)------------------------------
% 16.56/2.82 % (495062)------------------------------
% 16.56/2.82 % (495064)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1015002382:s2a=on:i=251:fsr=off:rtra=on_2982 on theBenchmark for (2982ds/251Mi)
% 16.56/2.82 % (495023)Instruction limit reached!
% 16.56/2.82 % (495023)------------------------------
% 16.56/2.82 % (495023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.56/2.82 % (495023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/2.82 % (495023)CaDiCaL version: 2.1.3
% 16.56/2.82 % (495023)Termination reason: Instruction limit
% 16.56/2.82 % (495023)Termination phase: Saturation
% 16.56/2.82 % (495023)Time elapsed: 0.645 s
% 16.56/2.82 % (495023)Peak memory usage: 15 MB
% 16.56/2.82 % (495023)Instructions burned: 866 (million)
% 16.56/2.82 % (495066)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=3565234394: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_2980 on theBenchmark for (2980ds/2470Mi)
% 16.56/2.82 % (495060)Instruction limit reached!
% 16.56/2.82 % (495060)------------------------------
% 16.56/2.82 % (495060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.56/2.82 % (495060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/2.82 % (495060)CaDiCaL version: 2.1.3
% 16.56/2.82 % (495060)Termination reason: Instruction limit
% 16.56/2.82 % (495060)Termination phase: Saturation
% 16.56/2.82 % (495060)Time elapsed: 0.276 s
% 16.56/2.82 % (495060)Peak memory usage: 12 MB
% 16.56/2.82 % (495060)Instructions burned: 356 (million)
% 16.56/2.82 % (495008)Instruction limit reached!
% 16.56/2.82 % (495008)------------------------------
% 16.56/2.82 % (495008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.56/2.82 % (495008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/2.82 % (495008)CaDiCaL version: 2.1.3
% 16.56/2.82 % (495008)Termination reason: Instruction limit
% 16.56/2.82 % (495008)Termination phase: Saturation
% 16.56/2.82 % (495008)Time elapsed: 0.834 s
% 16.56/2.82 % (495008)Peak memory usage: 13 MB
% 16.56/2.82 % (495008)Instructions burned: 1441 (million)
% 16.56/2.82 % (495064)Instruction limit reached!
% 16.56/2.82 % (495064)------------------------------
% 19.11/3.09 % (495064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.09 % (495064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.09 % (495064)CaDiCaL version: 2.1.3
% 19.11/3.09 % (495064)Termination reason: Instruction limit
% 19.11/3.09 % (495064)Termination phase: Saturation
% 19.11/3.09 % (495064)Time elapsed: 0.200 s
% 19.11/3.09 % (495064)Peak memory usage: 12 MB
% 19.11/3.09 % (495064)Instructions burned: 252 (million)
% 19.11/3.09 % (495068)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=339248671:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2980 on theBenchmark for (2980ds/673Mi)
% 19.11/3.09 % (495069)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=131217196:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 19.11/3.09 % (495071)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3817072383:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 19.11/3.09 % (495069)Instruction limit reached!
% 19.11/3.09 % (495069)------------------------------
% 19.11/3.09 % (495069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.09 % (495069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.09 % (495069)CaDiCaL version: 2.1.3
% 19.11/3.09 % (495069)Termination reason: Instruction limit
% 19.11/3.09 % (495069)Termination phase: Saturation
% 19.11/3.09 % (495069)Time elapsed: 0.087 s
% 19.11/3.09 % (495069)Peak memory usage: 12 MB
% 19.11/3.09 % (495069)Instructions burned: 117 (million)
% 19.11/3.09 % (495074)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=1135384310: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_2979 on theBenchmark for (2979ds/30Mi)
% 19.11/3.09 % (495074)Instruction limit reached!
% 19.11/3.09 % (495074)------------------------------
% 19.11/3.09 % (495074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.09 % (495074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.09 % (495074)CaDiCaL version: 2.1.3
% 19.11/3.09 % (495074)Termination reason: Instruction limit
% 19.11/3.09 % (495074)Termination phase: Saturation
% 19.11/3.09 % (495074)Time elapsed: 0.027 s
% 19.11/3.09 % (495074)Peak memory usage: 12 MB
% 19.11/3.09 % (495074)Instructions burned: 31 (million)
% 19.11/3.09 % (495076)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 19.11/3.09 % (495076)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1310131593:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2978 on theBenchmark for (2978ds/39Mi)
% 19.11/3.09 % (495056)Instruction limit reached!
% 19.11/3.09 % (495056)------------------------------
% 19.11/3.09 % (495056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.09 % (495056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.09 % (495056)CaDiCaL version: 2.1.3
% 19.11/3.09 % (495056)Termination reason: Instruction limit
% 19.11/3.09 % (495056)Termination phase: Saturation
% 19.11/3.09 % (495056)Time elapsed: 0.576 s
% 19.11/3.09 % (495056)Peak memory usage: 13 MB
% 19.11/3.09 % (495056)Instructions burned: 805 (million)
% 19.11/3.09 % (495076)Instruction limit reached!
% 19.11/3.09 % (495076)------------------------------
% 19.11/3.09 % (495076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.09 % (495076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.09 % (495076)CaDiCaL version: 2.1.3
% 19.11/3.09 % (495076)Termination reason: Instruction limit
% 19.11/3.09 % (495076)Termination phase: Saturation
% 19.11/3.09 % (495076)Time elapsed: 0.039 s
% 19.11/3.09 % (495076)Peak memory usage: 12 MB
% 19.11/3.09 % (495076)Instructions burned: 40 (million)
% 19.11/3.09 % (495078)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3545376665:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/365Mi)
% 19.11/3.09 % (495071)Instruction limit reached!
% 19.11/3.09 % (495071)------------------------------
% 19.11/3.09 % (495071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.27 % (495071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.27 % (495071)CaDiCaL version: 2.1.3
% 20.01/3.27 % (495071)Termination reason: Instruction limit
% 20.01/3.27 % (495071)Termination phase: Saturation
% 20.01/3.27 % (495071)Time elapsed: 0.211 s
% 20.01/3.27 % (495071)Peak memory usage: 12 MB
% 20.01/3.27 % (495071)Instructions burned: 271 (million)
% 20.01/3.27 % (495080)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2621762636:i=158:av=off:rtra=on_2977 on theBenchmark for (2977ds/158Mi)
% 20.01/3.27 % (495081)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
% 20.01/3.27 % (495081)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=2940806800:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/252Mi)
% 20.01/3.27 % (495080)Instruction limit reached!
% 20.01/3.27 % (495080)------------------------------
% 20.01/3.27 % (495080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.27 % (495080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.27 % (495080)CaDiCaL version: 2.1.3
% 20.01/3.27 % (495080)Termination reason: Instruction limit
% 20.01/3.27 % (495080)Termination phase: Saturation
% 20.01/3.27 % (495080)Time elapsed: 0.129 s
% 20.01/3.27 % (495080)Peak memory usage: 12 MB
% 20.01/3.27 % (495080)Instructions burned: 159 (million)
% 20.01/3.27 % (495068)Instruction limit reached!
% 20.01/3.27 % (495068)------------------------------
% 20.01/3.27 % (495068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.27 % (495068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.27 % (495068)CaDiCaL version: 2.1.3
% 20.01/3.27 % (495068)Termination reason: Instruction limit
% 20.01/3.27 % (495068)Termination phase: Saturation
% 20.01/3.27 % (495068)Time elapsed: 0.419 s
% 20.01/3.27 % (495068)Peak memory usage: 13 MB
% 20.01/3.27 % (495068)Instructions burned: 674 (million)
% 20.01/3.27 % (495084)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2592693690:i=213:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/213Mi)
% 20.01/3.27 % (495084)Refutation not found, incomplete strategy
% 20.01/3.27 % (495084)------------------------------
% 20.01/3.27 % (495084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.27 % (495084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.27 % (495084)CaDiCaL version: 2.1.3
% 20.01/3.27 % (495084)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.27 % (495084)Time elapsed: 0.001 s
% 20.01/3.27 % (495084)Peak memory usage: 11 MB
% 20.01/3.27 % (495084)Instructions burned: 1 (million)
% 20.01/3.27 % (495084)------------------------------
% 20.01/3.27 % (495084)------------------------------
% 20.01/3.27 % (495081)Instruction limit reached!
% 20.01/3.27 % (495081)------------------------------
% 20.01/3.27 % (495081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.27 % (495081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.27 % (495081)CaDiCaL version: 2.1.3
% 20.01/3.27 % (495081)Termination reason: Instruction limit
% 20.01/3.27 % (495081)Termination phase: Saturation
% 20.01/3.27 % (495081)Time elapsed: 0.158 s
% 20.01/3.27 % (495081)Peak memory usage: 12 MB
% 20.01/3.27 % (495081)Instructions burned: 253 (million)
% 20.01/3.27 % (495085)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=803428272:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/160Mi)
% 20.01/3.27 % (495085)Refutation not found, incomplete strategy
% 20.01/3.27 % (495085)------------------------------
% 20.01/3.27 % (495085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.27 % (495085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.27 % (495085)CaDiCaL version: 2.1.3
% 20.01/3.27 % (495085)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.27 % (495085)Time elapsed: 0.002 s
% 20.01/3.27 % (495085)Peak memory usage: 11 MB
% 20.01/3.27 % (495085)Instructions burned: 1 (million)
% 20.01/3.27 % (495085)------------------------------
% 20.01/3.27 % (495085)------------------------------
% 20.01/3.27 % (495087)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3806413278:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/763Mi)
% 20.57/3.36 % (495088)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 20.57/3.36 % (495088)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=70864028:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2975 on theBenchmark for (2975ds/237Mi)
% 20.57/3.36 % (495088)Refutation not found, incomplete strategy
% 20.57/3.36 % (495088)------------------------------
% 20.57/3.36 % (495088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/3.36 % (495078)Instruction limit reached!
% 20.57/3.36 % (495078)------------------------------
% 20.57/3.36 % (495078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/3.36 % (495088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/3.36 % (495078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/3.36 % (495088)CaDiCaL version: 2.1.3
% 20.57/3.36 % (495078)CaDiCaL version: 2.1.3
% 20.57/3.36 % (495088)Termination reason: Refutation not found, incomplete strategy
% 20.57/3.36 % (495088)Time elapsed: 0.001 s
% 20.57/3.36 % (495078)Termination reason: Instruction limit
% 20.57/3.36 % (495078)Termination phase: Saturation
% 20.57/3.36 % (495078)Time elapsed: 0.235 s
% 20.57/3.36 % (495088)Peak memory usage: 11 MB
% 20.57/3.36 % (495078)Peak memory usage: 13 MB
% 20.57/3.36 % (495078)Instructions burned: 366 (million)
% 20.57/3.36 % (495088)------------------------------
% 20.57/3.36 % (495088)------------------------------
% 20.57/3.36 % (495090)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3149954148:s2a=on:i=386:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/386Mi)
% 20.57/3.36 % (495093)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=978102730:i=300:piset=and:nm=32:rtra=on_2975 on theBenchmark for (2975ds/300Mi)
% 20.57/3.36 % (495094)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2858901180:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/567Mi)
% 20.57/3.36 % (495094)Refutation not found, incomplete strategy
% 20.57/3.36 % (495094)------------------------------
% 20.57/3.36 % (495094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/3.36 % (495094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/3.36 % (495094)CaDiCaL version: 2.1.3
% 20.57/3.36 % (495094)Termination reason: Refutation not found, incomplete strategy
% 20.57/3.36 % (495094)Time elapsed: 0.002 s
% 20.57/3.36 % (495094)Peak memory usage: 11 MB
% 20.57/3.36 % (495094)Instructions burned: 1 (million)
% 20.57/3.36 % (495094)------------------------------
% 20.57/3.36 % (495094)------------------------------
% 20.57/3.36 % (495098)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2227245787:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2975 on theBenchmark for (2975ds/379Mi)
% 20.57/3.36 % (495098)Refutation not found, incomplete strategy
% 20.57/3.36 % (495098)------------------------------
% 20.57/3.36 % (495098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/3.36 % (495098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/3.36 % (495098)CaDiCaL version: 2.1.3
% 20.57/3.36 % (495098)Termination reason: Refutation not found, incomplete strategy
% 20.57/3.36 % (495098)Time elapsed: 0.001 s
% 20.57/3.36 % (495098)Peak memory usage: 11 MB
% 20.57/3.36 % (495098)Instructions burned: 1 (million)
% 20.57/3.36 % (495098)------------------------------
% 20.57/3.36 % (495098)------------------------------
% 20.57/3.36 % (495100)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3351929920:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2974 on theBenchmark for (2974ds/429Mi)
% 20.57/3.36 % (495093)Instruction limit reached!
% 20.57/3.36 % (495093)------------------------------
% 20.57/3.36 % (495093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/3.36 % (495093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/3.36 % (495093)CaDiCaL version: 2.1.3
% 20.57/3.36 % (495093)Termination reason: Instruction limit
% 20.57/3.36 % (495093)Termination phase: Saturation
% 20.57/3.36 % (495093)Time elapsed: 0.228 s
% 20.57/3.36 % (495093)Peak memory usage: 12 MB
% 21.36/3.56 % (495093)Instructions burned: 302 (million)
% 21.36/3.56 % (495102)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3326935975:i=478:bd=all:rtra=on_2972 on theBenchmark for (2972ds/478Mi)
% 21.36/3.56 % (495102)Refutation not found, incomplete strategy
% 21.36/3.56 % (495102)------------------------------
% 21.36/3.56 % (495102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.56 % (495102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.56 % (495102)CaDiCaL version: 2.1.3
% 21.36/3.56 % (495102)Termination reason: Refutation not found, incomplete strategy
% 21.36/3.56 % (495102)Time elapsed: 0.003 s
% 21.36/3.56 % (495102)Peak memory usage: 12 MB
% 21.36/3.56 % (495102)Instructions burned: 2 (million)
% 21.36/3.56 % (495102)------------------------------
% 21.36/3.56 % (495102)------------------------------
% 21.36/3.56 % (495090)Instruction limit reached!
% 21.36/3.56 % (495090)------------------------------
% 21.36/3.56 % (495090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.56 % (495090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.56 % (495090)CaDiCaL version: 2.1.3
% 21.36/3.56 % (495090)Termination reason: Instruction limit
% 21.36/3.56 % (495090)Termination phase: Saturation
% 21.36/3.56 % (495090)Time elapsed: 0.297 s
% 21.36/3.56 % (495090)Peak memory usage: 12 MB
% 21.36/3.56 % (495090)Instructions burned: 386 (million)
% 21.36/3.56 % (495104)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2001633402:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 21.36/3.56 % (495105)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=719990543:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/71Mi)
% 21.36/3.56 % (495105)Instruction limit reached!
% 21.36/3.56 % (495105)------------------------------
% 21.36/3.56 % (495105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.56 % (495105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.56 % (495105)CaDiCaL version: 2.1.3
% 21.36/3.56 % (495105)Termination reason: Instruction limit
% 21.36/3.56 % (495105)Termination phase: Saturation
% 21.36/3.56 % (495105)Time elapsed: 0.062 s
% 21.36/3.56 % (495105)Peak memory usage: 12 MB
% 21.36/3.56 % (495105)Instructions burned: 72 (million)
% 21.36/3.56 % (495087)Instruction limit reached!
% 21.36/3.56 % (495087)------------------------------
% 21.36/3.56 % (495087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.56 % (495087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.56 % (495087)CaDiCaL version: 2.1.3
% 21.36/3.56 % (495087)Termination reason: Instruction limit
% 21.36/3.56 % (495087)Termination phase: Saturation
% 21.36/3.56 % (495087)Time elapsed: 0.421 s
% 21.36/3.56 % (495087)Peak memory usage: 14 MB
% 21.36/3.56 % (495087)Instructions burned: 764 (million)
% 21.36/3.56 % (495051)Instruction limit reached!
% 21.36/3.56 % (495051)------------------------------
% 21.36/3.56 % (495051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.56 % (495051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.56 % (495051)CaDiCaL version: 2.1.3
% 21.36/3.56 % (495051)Termination reason: Instruction limit
% 21.36/3.56 % (495051)Termination phase: Saturation
% 21.36/3.56 % (495051)Time elapsed: 1.328 s
% 21.36/3.56 % (495051)Peak memory usage: 13 MB
% 21.36/3.56 % (495051)Instructions burned: 2186 (million)
% 21.36/3.56 % (495100)Instruction limit reached!
% 21.36/3.56 % (495100)------------------------------
% 21.36/3.56 % (495100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.56 % (495100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.56 % (495100)CaDiCaL version: 2.1.3
% 21.36/3.56 % (495100)Termination reason: Instruction limit
% 21.36/3.56 % (495100)Termination phase: Saturation
% 21.36/3.56 % (495100)Time elapsed: 0.333 s
% 21.36/3.56 % (495100)Peak memory usage: 12 MB
% 21.36/3.56 % (495100)Instructions burned: 429 (million)
% 21.36/3.56 % (495108)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=623149056:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/302Mi)
% 21.36/3.56 % (495110)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
% 21.36/3.56 % (495110)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.70/3.77 % (495108)Refutation not found, incomplete strategy
% 22.70/3.77 % (495108)------------------------------
% 22.70/3.77 % (495108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.77 % (495108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.77 % (495108)CaDiCaL version: 2.1.3
% 22.70/3.77 % (495108)Termination reason: Refutation not found, incomplete strategy
% 22.70/3.77 % (495108)Time elapsed: 0.001 s
% 22.70/3.77 % (495108)Peak memory usage: 11 MB
% 22.70/3.77 % (495108)Instructions burned: 1 (million)
% 22.70/3.77 % (495108)------------------------------
% 22.70/3.77 % (495108)------------------------------
% 22.70/3.77 % (495109)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1706443831:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/4980Mi)
% 22.70/3.77 % (495109)Refutation not found, incomplete strategy
% 22.70/3.77 % (495109)------------------------------
% 22.70/3.77 % (495109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.77 % (495109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.77 % (495109)CaDiCaL version: 2.1.3
% 22.70/3.77 % (495109)Termination reason: Refutation not found, incomplete strategy
% 22.70/3.77 % (495109)Time elapsed: 0.001 s
% 22.70/3.77 % (495109)Peak memory usage: 11 MB
% 22.70/3.77 % (495109)Instructions burned: 1 (million)
% 22.70/3.77 % (495110)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=962665684:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2971 on theBenchmark for (2971ds/100Mi)
% 22.70/3.77 % (495109)------------------------------
% 22.70/3.77 % (495109)------------------------------
% 22.70/3.77 % (495111)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=3148804654:i=76:piset=equals:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/76Mi)
% 22.70/3.77 % (495114)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=237003148:i=289:rtra=on_2970 on theBenchmark for (2970ds/289Mi)
% 22.70/3.77 % (495114)Refutation not found, incomplete strategy
% 22.70/3.77 % (495114)------------------------------
% 22.70/3.77 % (495114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.77 % (495114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.77 % (495114)CaDiCaL version: 2.1.3
% 22.70/3.77 % (495114)Termination reason: Refutation not found, incomplete strategy
% 22.70/3.77 % (495114)Time elapsed: 0.003 s
% 22.70/3.77 % (495116)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=195466030:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2970 on theBenchmark for (2970ds/493Mi)
% 22.70/3.77 % (495114)Peak memory usage: 12 MB
% 22.70/3.77 % (495114)Instructions burned: 2 (million)
% 22.70/3.77 % (495114)------------------------------
% 22.70/3.77 % (495114)------------------------------
% 22.70/3.77 % (495120)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=2408724442:cond=on:i=34:hud=10:nm=10:rtra=on_2970 on theBenchmark for (2970ds/34Mi)
% 22.70/3.77 % (495110)Instruction limit reached!
% 22.70/3.77 % (495110)------------------------------
% 22.70/3.77 % (495110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.77 % (495110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.77 % (495110)CaDiCaL version: 2.1.3
% 22.70/3.77 % (495110)Termination reason: Instruction limit
% 22.70/3.77 % (495110)Termination phase: Saturation
% 22.70/3.77 % (495110)Time elapsed: 0.069 s
% 22.70/3.77 % (495110)Peak memory usage: 12 MB
% 22.70/3.77 % (495110)Instructions burned: 101 (million)
% 22.70/3.77 % (495111)Instruction limit reached!
% 22.70/3.77 % (495111)------------------------------
% 22.70/3.77 % (495111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.77 % (495111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.77 % (495111)CaDiCaL version: 2.1.3
% 22.70/3.77 % (495111)Termination reason: Instruction limit
% 22.70/3.77 % (495111)Termination phase: Saturation
% 22.70/3.77 % (495111)Time elapsed: 0.063 s
% 24.28/3.90 % (495111)Peak memory usage: 12 MB
% 24.28/3.90 % (495111)Instructions burned: 77 (million)
% 24.28/3.90 % (495120)Instruction limit reached!
% 24.28/3.90 % (495120)------------------------------
% 24.28/3.90 % (495120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/3.90 % (495120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/3.90 % (495120)CaDiCaL version: 2.1.3
% 24.28/3.90 % (495120)Termination reason: Instruction limit
% 24.28/3.90 % (495120)Termination phase: Saturation
% 24.28/3.90 % (495120)Time elapsed: 0.030 s
% 24.28/3.90 % (495120)Peak memory usage: 12 MB
% 24.28/3.90 % (495120)Instructions burned: 35 (million)
% 24.28/3.90 % (495122)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 24.28/3.90 % (495122)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=1760641078:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2970 on theBenchmark for (2970ds/372Mi)
% 24.28/3.90 % (495122)Refutation not found, incomplete strategy
% 24.28/3.90 % (495122)------------------------------
% 24.28/3.90 % (495122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/3.90 % (495122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/3.90 % (495122)CaDiCaL version: 2.1.3
% 24.28/3.90 % (495122)Termination reason: Refutation not found, incomplete strategy
% 24.28/3.90 % (495122)Time elapsed: 0.003 s
% 24.28/3.90 % (495122)Peak memory usage: 11 MB
% 24.28/3.90 % (495122)Instructions burned: 3 (million)
% 24.28/3.90 % (495122)------------------------------
% 24.28/3.90 % (495122)------------------------------
% 24.28/3.90 % (495123)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3198450771:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2970 on theBenchmark for (2970ds/670Mi)
% 24.28/3.90 % (495124)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=310420257:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/647Mi)
% 24.28/3.90 % (495124)Refutation not found, incomplete strategy
% 24.28/3.90 % (495124)------------------------------
% 24.28/3.90 % (495124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/3.90 % (495124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/3.90 % (495124)CaDiCaL version: 2.1.3
% 24.28/3.90 % (495124)Termination reason: Refutation not found, incomplete strategy
% 24.28/3.90 % (495124)Time elapsed: 0.001 s
% 24.28/3.90 % (495124)Peak memory usage: 11 MB
% 24.28/3.90 % (495124)Instructions burned: 1 (million)
% 24.28/3.90 % (495124)------------------------------
% 24.28/3.90 % (495124)------------------------------
% 24.28/3.90 % (495126)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=320297160:i=857:add=off:kws=frequency:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/857Mi)
% 24.28/3.90 % (495129)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=650573100:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/693Mi)
% 24.28/3.90 % (495104)Instruction limit reached!
% 24.28/3.90 % (495104)------------------------------
% 24.28/3.90 % (495104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/3.90 % (495104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/3.90 % (495104)CaDiCaL version: 2.1.3
% 24.28/3.90 % (495104)Termination reason: Instruction limit
% 24.28/3.90 % (495104)Termination phase: Saturation
% 24.28/3.90 % (495104)Time elapsed: 0.367 s
% 24.28/3.90 % (495104)Peak memory usage: 14 MB
% 24.28/3.90 % (495104)Instructions burned: 445 (million)
% 24.28/3.90 % (495132)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2363914385:i=285:hud=10:bd=all:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/285Mi)
% 24.28/3.90 % (495132)Refutation not found, incomplete strategy
% 24.28/3.90 % (495132)------------------------------
% 24.28/3.90 % (495132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/3.90 % (495132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/3.90 % (495132)CaDiCaL version: 2.1.3
% 24.28/3.90 % (495132)Termination reason: Refutation not found, incomplete strategy
% 24.28/4.04 % (495132)Time elapsed: 0.002 s
% 24.28/4.04 % (495132)Peak memory usage: 11 MB
% 24.28/4.04 % (495132)Instructions burned: 1 (million)
% 24.28/4.04 % (495132)------------------------------
% 24.28/4.04 % (495132)------------------------------
% 24.28/4.04 % (495134)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 24.28/4.04 % (495134)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=4095108784:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 24.28/4.04 % (495134)Instruction limit reached!
% 24.28/4.04 % (495134)------------------------------
% 24.28/4.04 % (495134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/4.04 % (495134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/4.04 % (495134)CaDiCaL version: 2.1.3
% 24.28/4.04 % (495134)Termination reason: Instruction limit
% 24.28/4.04 % (495134)Termination phase: Saturation
% 24.28/4.04 % (495134)Time elapsed: 0.034 s
% 24.28/4.04 % (495134)Peak memory usage: 12 MB
% 24.28/4.04 % (495134)Instructions burned: 53 (million)
% 24.28/4.04 % (495136)dis+10_1_si=on:random_seed=310616578:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2967 on theBenchmark for (2967ds/407Mi)
% 24.28/4.04 % (495136)Refutation not found, incomplete strategy
% 24.28/4.04 % (495136)------------------------------
% 24.28/4.04 % (495136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/4.04 % (495136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/4.04 % (495136)CaDiCaL version: 2.1.3
% 24.28/4.04 % (495136)Termination reason: Refutation not found, incomplete strategy
% 24.28/4.04 % (495136)Time elapsed: 0.001 s
% 24.28/4.04 % (495136)Peak memory usage: 11 MB
% 24.28/4.04 % (495136)Instructions burned: 1 (million)
% 24.28/4.04 % (495136)------------------------------
% 24.28/4.04 % (495136)------------------------------
% 24.28/4.04 % (495116)Instruction limit reached!
% 24.28/4.04 % (495116)------------------------------
% 24.28/4.04 % (495116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/4.04 % (495116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/4.04 % (495116)CaDiCaL version: 2.1.3
% 24.28/4.04 % (495116)Termination reason: Instruction limit
% 24.28/4.04 % (495116)Termination phase: Saturation
% 24.28/4.04 % (495116)Time elapsed: 0.373 s
% 24.28/4.04 % (495116)Peak memory usage: 13 MB
% 24.28/4.04 % (495116)Instructions burned: 493 (million)
% 24.28/4.04 % (495138)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=299900926:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/2240Mi)
% 24.28/4.04 % (495139)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3817115962:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/336Mi)
% 24.28/4.04 % (495139)Refutation not found, incomplete strategy
% 24.28/4.04 % (495139)------------------------------
% 24.28/4.04 % (495139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/4.04 % (495139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/4.04 % (495139)CaDiCaL version: 2.1.3
% 24.28/4.04 % (495139)Termination reason: Refutation not found, incomplete strategy
% 24.28/4.04 % (495139)Time elapsed: 0.001 s
% 24.28/4.04 % (495139)Peak memory usage: 11 MB
% 24.28/4.04 % (495139)Instructions burned: 1 (million)
% 24.28/4.04 % (495139)------------------------------
% 24.28/4.04 % (495139)------------------------------
% 24.28/4.04 % (495142)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=616996104:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2966 on theBenchmark for (2966ds/1142Mi)
% 24.28/4.04 % (495142)Refutation not found, incomplete strategy
% 24.28/4.04 % (495142)------------------------------
% 24.28/4.04 % (495142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.28/4.04 % (495142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/4.04 % (495142)CaDiCaL version: 2.1.3
% 24.28/4.04 % (495142)Termination reason: Refutation not found, incomplete strategy
% 24.28/4.04 % (495142)Time elapsed: 0.017 s
% 24.28/4.04 % (495142)Peak memory usage: 12 MB
% 24.28/4.04 % (495142)Instructions burned: 19 (million)
% 24.28/4.04 % (495142)------------------------------
% 24.28/4.04 % (495142)------------------------------
% 27.39/4.33 % (495144)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3650844240:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/376Mi)
% 27.39/4.33 % (495144)Refutation not found, incomplete strategy
% 27.39/4.33 % (495144)------------------------------
% 27.39/4.33 % (495144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.33 % (495144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.33 % (495144)CaDiCaL version: 2.1.3
% 27.39/4.33 % (495144)Termination reason: Refutation not found, incomplete strategy
% 27.39/4.33 % (495144)Time elapsed: 0.001 s
% 27.39/4.33 % (495144)Peak memory usage: 11 MB
% 27.39/4.33 % (495144)Instructions burned: 1 (million)
% 27.39/4.33 % (495144)------------------------------
% 27.39/4.33 % (495144)------------------------------
% 27.39/4.33 % (495146)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1758943069:i=766:bd=all:rtra=on_2965 on theBenchmark for (2965ds/766Mi)
% 27.39/4.33 % (495146)Refutation not found, incomplete strategy
% 27.39/4.33 % (495146)------------------------------
% 27.39/4.33 % (495146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.33 % (495146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.33 % (495146)CaDiCaL version: 2.1.3
% 27.39/4.33 % (495146)Termination reason: Refutation not found, incomplete strategy
% 27.39/4.33 % (495146)Time elapsed: 0.003 s
% 27.39/4.33 % (495146)Peak memory usage: 12 MB
% 27.39/4.33 % (495146)Instructions burned: 2 (million)
% 27.39/4.33 % (495146)------------------------------
% 27.39/4.33 % (495146)------------------------------
% 27.39/4.33 % (495123)Instruction limit reached!
% 27.39/4.33 % (495123)------------------------------
% 27.39/4.33 % (495123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.33 % (495123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.33 % (495123)CaDiCaL version: 2.1.3
% 27.39/4.33 % (495123)Termination reason: Instruction limit
% 27.39/4.33 % (495123)Termination phase: Saturation
% 27.39/4.33 % (495123)Time elapsed: 0.457 s
% 27.39/4.33 % (495123)Peak memory usage: 12 MB
% 27.39/4.33 % (495123)Instructions burned: 670 (million)
% 27.39/4.33 % (495148)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 27.39/4.33 % (495148)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2797453280: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_2965 on theBenchmark for (2965ds/959Mi)
% 27.39/4.33 % (495148)Refutation not found, incomplete strategy
% 27.39/4.33 % (495148)------------------------------
% 27.39/4.33 % (495148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.33 % (495148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.33 % (495148)CaDiCaL version: 2.1.3
% 27.39/4.33 % (495148)Termination reason: Refutation not found, incomplete strategy
% 27.39/4.33 % (495148)Time elapsed: 0.001 s
% 27.39/4.33 % (495148)Peak memory usage: 11 MB
% 27.39/4.33 % (495148)------------------------------
% 27.39/4.33 % (495148)------------------------------
% 27.39/4.33 % (495149)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=521418420:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2965 on theBenchmark for (2965ds/6359Mi)
% 27.39/4.33 % (495129)Instruction limit reached!
% 27.39/4.33 % (495129)------------------------------
% 27.39/4.33 % (495129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.33 % (495129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.33 % (495129)CaDiCaL version: 2.1.3
% 27.39/4.33 % (495129)Termination reason: Instruction limit
% 27.39/4.33 % (495129)Termination phase: Saturation
% 27.39/4.33 % (495129)Time elapsed: 0.446 s
% 27.39/4.33 % (495129)Peak memory usage: 12 MB
% 27.39/4.33 % (495129)Instructions burned: 694 (million)
% 27.39/4.33 % (495151)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1900352917:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2964 on theBenchmark for (2964ds/35Mi)
% 27.39/4.33 % (495151)Refutation not found, incomplete strategy
% 27.39/4.33 % (495151)------------------------------
% 27.39/4.33 % (495151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (495151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.44 % (495151)CaDiCaL version: 2.1.3
% 28.37/4.44 % (495151)Termination reason: Refutation not found, incomplete strategy
% 28.37/4.44 % (495151)Time elapsed: 0.001 s
% 28.37/4.44 % (495151)Peak memory usage: 11 MB
% 28.37/4.44 % (495151)------------------------------
% 28.37/4.44 % (495151)------------------------------
% 28.37/4.44 % (495153)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2800804222:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2964 on theBenchmark for (2964ds/53Mi)
% 28.37/4.44 % (495155)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3989357367:s2a=on:i=876:s2at=6:nm=2:rtra=on_2964 on theBenchmark for (2964ds/876Mi)
% 28.37/4.44 % (495153)Instruction limit reached!
% 28.37/4.44 % (495153)------------------------------
% 28.37/4.44 % (495153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (495153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.44 % (495153)CaDiCaL version: 2.1.3
% 28.37/4.44 % (495153)Termination reason: Instruction limit
% 28.37/4.44 % (495153)Termination phase: Saturation
% 28.37/4.44 % (495153)Time elapsed: 0.047 s
% 28.37/4.44 % (495153)Peak memory usage: 12 MB
% 28.37/4.44 % (495153)Instructions burned: 54 (million)
% 28.37/4.44 % (495126)Instruction limit reached!
% 28.37/4.44 % (495126)------------------------------
% 28.37/4.44 % (495126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (495126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.44 % (495126)CaDiCaL version: 2.1.3
% 28.37/4.44 % (495126)Termination reason: Instruction limit
% 28.37/4.44 % (495126)Termination phase: Saturation
% 28.37/4.44 % (495126)Time elapsed: 0.557 s
% 28.37/4.44 % (495126)Peak memory usage: 12 MB
% 28.37/4.44 % (495126)Instructions burned: 857 (million)
% 28.37/4.44 % (495158)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3721484715:i=57:ep=R:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/57Mi)
% 28.37/4.44 % (495159)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.37/4.44 % (495159)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2008627139:i=306:bd=all:rtra=on_2963 on theBenchmark for (2963ds/306Mi)
% 28.37/4.44 % (495159)Refutation not found, incomplete strategy
% 28.37/4.44 % (495159)------------------------------
% 28.37/4.44 % (495159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (495159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.44 % (495159)CaDiCaL version: 2.1.3
% 28.37/4.44 % (495159)Termination reason: Refutation not found, incomplete strategy
% 28.37/4.44 % (495159)Time elapsed: 0.003 s
% 28.37/4.44 % (495159)Peak memory usage: 12 MB
% 28.37/4.44 % (495159)Instructions burned: 2 (million)
% 28.37/4.44 % (495159)------------------------------
% 28.37/4.44 % (495159)------------------------------
% 28.37/4.44 % (494999)Instruction limit reached!
% 28.37/4.44 % (494999)------------------------------
% 28.37/4.44 % (494999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (494999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.44 % (494999)CaDiCaL version: 2.1.3
% 28.37/4.44 % (494999)Termination reason: Instruction limit
% 28.37/4.44 % (494999)Termination phase: Saturation
% 28.37/4.44 % (494999)Time elapsed: 2.698 s
% 28.37/4.44 % (494999)Peak memory usage: 17 MB
% 28.37/4.44 % (494999)Instructions burned: 9844 (million)
% 28.37/4.44 % (495162)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3406527561:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/262Mi)
% 28.37/4.44 % (495162)Refutation not found, incomplete strategy
% 28.37/4.44 % (495162)------------------------------
% 28.37/4.44 % (495162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (495162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.44 % (495162)CaDiCaL version: 2.1.3
% 28.37/4.44 % (495158)Instruction limit reached!
% 28.37/4.44 % (495158)------------------------------
% 28.37/4.44 % (495158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.44 % (495162)Termination reason: Refutation not found, incomplete strategy
% 29.57/4.61 % (495162)Time elapsed: 0.001 s
% 29.57/4.61 % (495162)Peak memory usage: 11 MB
% 29.57/4.61 % (495162)Instructions burned: 1 (million)
% 29.57/4.61 % (495158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.61 % (495158)CaDiCaL version: 2.1.3
% 29.57/4.61 % (495158)Termination reason: Instruction limit
% 29.57/4.61 % (495158)Termination phase: Saturation
% 29.57/4.61 % (495158)Time elapsed: 0.046 s
% 29.57/4.61 % (495158)Peak memory usage: 12 MB
% 29.57/4.61 % (495158)Instructions burned: 58 (million)
% 29.57/4.61 % (495162)------------------------------
% 29.57/4.61 % (495162)------------------------------
% 29.57/4.61 % (495163)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 29.57/4.61 % (495163)ott+1002_16_sil=128000:si=on:random_seed=2410104498:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/409Mi)
% 29.57/4.61 % (495165)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2982531529:s2a=on:i=381:rtra=on_2963 on theBenchmark for (2963ds/381Mi)
% 29.57/4.61 % (495166)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=664729289:cond=on:i=324:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/324Mi)
% 29.57/4.61 % (495163)Instruction limit reached!
% 29.57/4.61 % (495163)------------------------------
% 29.57/4.61 % (495163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.61 % (495163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.61 % (495163)CaDiCaL version: 2.1.3
% 29.57/4.61 % (495163)Termination reason: Instruction limit
% 29.57/4.61 % (495163)Termination phase: Saturation
% 29.57/4.61 % (495163)Time elapsed: 0.143 s
% 29.57/4.61 % (495163)Peak memory usage: 13 MB
% 29.57/4.61 % (495163)Instructions burned: 409 (million)
% 29.57/4.61 % (495170)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3566940819:i=240:kws=inv_precedence:rtra=on_2961 on theBenchmark for (2961ds/240Mi)
% 29.57/4.61 % (495170)Refutation not found, incomplete strategy
% 29.57/4.61 % (495170)------------------------------
% 29.57/4.61 % (495170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.61 % (495170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.61 % (495170)CaDiCaL version: 2.1.3
% 29.57/4.61 % (495170)Termination reason: Refutation not found, incomplete strategy
% 29.57/4.61 % (495170)Time elapsed: 0.001 s
% 29.57/4.61 % (495170)Peak memory usage: 12 MB
% 29.57/4.61 % (495170)Instructions burned: 1 (million)
% 29.57/4.61 % (495170)------------------------------
% 29.57/4.61 % (495170)------------------------------
% 29.57/4.61 % (495172)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.57/4.61 % (495172)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=887420695:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/124Mi)
% 29.57/4.61 % (495066)Instruction limit reached!
% 29.57/4.61 % (495066)------------------------------
% 29.57/4.61 % (495066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.61 % (495066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.61 % (495066)CaDiCaL version: 2.1.3
% 29.57/4.61 % (495066)Termination reason: Instruction limit
% 29.57/4.61 % (495066)Termination phase: Saturation
% 29.57/4.61 % (495066)Time elapsed: 1.934 s
% 29.57/4.61 % (495066)Peak memory usage: 16 MB
% 29.57/4.61 % (495066)Instructions burned: 2470 (million)
% 29.57/4.61 % (495174)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1130944436:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2961 on theBenchmark for (2961ds/223Mi)
% 29.57/4.61 % (495172)Instruction limit reached!
% 29.57/4.61 % (495172)------------------------------
% 29.57/4.61 % (495172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.61 % (495172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.61 % (495172)CaDiCaL version: 2.1.3
% 29.57/4.61 % (495172)Termination reason: Instruction limit
% 29.57/4.61 % (495172)Termination phase: Saturation
% 29.57/4.61 % (495172)Time elapsed: 0.045 s
% 29.57/4.61 % (495172)Peak memory usage: 12 MB
% 29.57/4.61 % (495172)Instructions burned: 124 (million)
% 29.57/4.61 % (495176)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=24928181:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2960 on theBenchmark for (2960ds/282Mi)
% 29.57/4.61 % (495166)Instruction limit reached!
% 30.19/4.77 % (495166)------------------------------
% 30.19/4.77 % (495166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.77 % (495166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.77 % (495166)CaDiCaL version: 2.1.3
% 30.19/4.77 % (495166)Termination reason: Instruction limit
% 30.19/4.77 % (495166)Termination phase: Saturation
% 30.19/4.77 % (495166)Time elapsed: 0.260 s
% 30.19/4.77 % (495166)Peak memory usage: 12 MB
% 30.19/4.77 % (495166)Instructions burned: 325 (million)
% 30.19/4.77 % (495178)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1641346599:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/464Mi)
% 30.19/4.77 % (495165)Instruction limit reached!
% 30.19/4.77 % (495165)------------------------------
% 30.19/4.77 % (495165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.77 % (495165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.77 % (495165)CaDiCaL version: 2.1.3
% 30.19/4.77 % (495165)Termination reason: Instruction limit
% 30.19/4.77 % (495165)Termination phase: Saturation
% 30.19/4.77 % (495165)Time elapsed: 0.296 s
% 30.19/4.77 % (495165)Peak memory usage: 12 MB
% 30.19/4.77 % (495178)Refutation not found, incomplete strategy
% 30.19/4.77 % (495178)------------------------------
% 30.19/4.77 % (495178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.77 % (495165)Instructions burned: 382 (million)
% 30.19/4.77 % (495178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.77 % (495178)CaDiCaL version: 2.1.3
% 30.19/4.77 % (495178)Termination reason: Refutation not found, incomplete strategy
% 30.19/4.77 % (495178)Time elapsed: 0.002 s
% 30.19/4.77 % (495178)Peak memory usage: 11 MB
% 30.19/4.77 % (495178)Instructions burned: 1 (million)
% 30.19/4.77 % (495178)------------------------------
% 30.19/4.77 % (495178)------------------------------
% 30.19/4.77 % (495180)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=3738218666:i=88:s2at=3:nm=2:rtra=on:rawr=on_2959 on theBenchmark for (2959ds/88Mi)
% 30.19/4.77 % (495181)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3766104073:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2959 on theBenchmark for (2959ds/280Mi)
% 30.19/4.77 % (495174)Instruction limit reached!
% 30.19/4.77 % (495174)------------------------------
% 30.19/4.77 % (495174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.77 % (495174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.77 % (495174)CaDiCaL version: 2.1.3
% 30.19/4.77 % (495174)Termination reason: Instruction limit
% 30.19/4.77 % (495174)Termination phase: Saturation
% 30.19/4.77 % (495174)Time elapsed: 0.131 s
% 30.19/4.77 % (495174)Peak memory usage: 13 MB
% 30.19/4.77 % (495174)Instructions burned: 224 (million)
% 30.19/4.77 % (495176)Instruction limit reached!
% 30.19/4.77 % (495176)------------------------------
% 30.19/4.77 % (495176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.77 % (495176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.77 % (495176)CaDiCaL version: 2.1.3
% 30.19/4.77 % (495176)Termination reason: Instruction limit
% 30.19/4.77 % (495176)Termination phase: Saturation
% 30.19/4.77 % (495176)Time elapsed: 0.127 s
% 30.19/4.77 % (495176)Peak memory usage: 13 MB
% 30.19/4.77 % (495176)Instructions burned: 282 (million)
% 30.19/4.77 % (495184)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 30.19/4.77 % (495185)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 30.19/4.77 % (495185)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 30.19/4.77 % (495184)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=698684768:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/4386Mi)
% 30.19/4.77 % (495185)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=2348314072:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2959 on theBenchmark for (2959ds/483Mi)
% 34.05/5.19 % (495185)Refutation not found, incomplete strategy
% 34.05/5.19 % (495185)------------------------------
% 34.05/5.19 % (495185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.05/5.19 % (495185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.05/5.19 % (495185)CaDiCaL version: 2.1.3
% 34.05/5.19 % (495185)Termination reason: Refutation not found, incomplete strategy
% 34.05/5.19 % (495185)Time elapsed: 0.001 s
% 34.05/5.19 % (495185)Peak memory usage: 12 MB
% 34.05/5.19 % (495185)Instructions burned: 1 (million)
% 34.05/5.19 % (495185)------------------------------
% 34.05/5.19 % (495185)------------------------------
% 34.05/5.19 % (495188)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2426070885:i=73:rtra=on_2959 on theBenchmark for (2959ds/73Mi)
% 34.05/5.19 % (495188)Refutation not found, incomplete strategy
% 34.05/5.19 % (495188)------------------------------
% 34.05/5.19 % (495188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.05/5.19 % (495188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.05/5.20 % (495188)CaDiCaL version: 2.1.3
% 34.05/5.20 % (495188)Termination reason: Refutation not found, incomplete strategy
% 34.05/5.20 % (495188)Time elapsed: 0.001 s
% 34.05/5.20 % (495188)Peak memory usage: 12 MB
% 34.05/5.20 % (495188)Instructions burned: 2 (million)
% 34.05/5.20 % (495188)------------------------------
% 34.05/5.20 % (495188)------------------------------
% 34.05/5.20 % (495180)Instruction limit reached!
% 34.05/5.20 % (495180)------------------------------
% 34.05/5.20 % (495180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.05/5.20 % (495180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.05/5.20 % (495180)CaDiCaL version: 2.1.3
% 34.05/5.20 % (495180)Termination reason: Instruction limit
% 34.05/5.20 % (495180)Termination phase: Saturation
% 34.05/5.20 % (495180)Time elapsed: 0.065 s
% 34.05/5.20 % (495180)Peak memory usage: 12 MB
% 34.05/5.20 % (495180)Instructions burned: 89 (million)
% 34.05/5.20 % (495190)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=411608950:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2959 on theBenchmark for (2959ds/176Mi)
% 34.05/5.20 % (495191)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 34.05/5.20 % (495191)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4247994073:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 34.05/5.20 % (495191)Instruction limit reached!
% 34.05/5.20 % (495191)------------------------------
% 34.05/5.20 % (495191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.05/5.20 % (495191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.05/5.20 % (495191)CaDiCaL version: 2.1.3
% 34.05/5.20 % (495191)Termination reason: Instruction limit
% 34.05/5.20 % (495191)Termination phase: Saturation
% 34.05/5.20 % (495191)Time elapsed: 0.037 s
% 34.05/5.20 % (495191)Peak memory usage: 12 MB
% 34.05/5.20 % (495191)Instructions burned: 39 (million)
% 34.05/5.20 % (495190)Instruction limit reached!
% 34.05/5.20 % (495190)------------------------------
% 34.05/5.20 % (495190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.05/5.20 % (495190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.05/5.20 % (495190)CaDiCaL version: 2.1.3
% 34.05/5.20 % (495190)Termination reason: Instruction limit
% 34.05/5.20 % (495190)Termination phase: Saturation
% 34.05/5.20 % (495190)Time elapsed: 0.074 s
% 34.05/5.20 % (495190)Peak memory usage: 12 MB
% 34.05/5.20 % (495190)Instructions burned: 177 (million)
% 34.05/5.20 % (495195)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
% 34.05/5.20 % (495194)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1847690113:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/708Mi)
% 34.05/5.20 % (495195)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=3445408501:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/252Mi)
% 34.05/5.20 % (495155)Instruction limit reached!
% 34.05/5.20 % (495155)------------------------------
% 34.99/5.31 % (495155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.99/5.31 % (495155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.99/5.31 % (495155)CaDiCaL version: 2.1.3
% 34.99/5.31 % (495155)Termination reason: Instruction limit
% 34.99/5.31 % (495155)Termination phase: Saturation
% 34.99/5.31 % (495155)Time elapsed: 0.668 s
% 34.99/5.31 % (495155)Peak memory usage: 13 MB
% 34.99/5.31 % (495155)Instructions burned: 876 (million)
% 34.99/5.31 % (495181)Instruction limit reached!
% 34.99/5.31 % (495181)------------------------------
% 34.99/5.31 % (495181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.99/5.31 % (495181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.99/5.31 % (495181)CaDiCaL version: 2.1.3
% 34.99/5.31 % (495181)Termination reason: Instruction limit
% 34.99/5.31 % (495181)Termination phase: Saturation
% 34.99/5.31 % (495181)Time elapsed: 0.220 s
% 34.99/5.31 % (495181)Peak memory usage: 12 MB
% 34.99/5.31 % (495181)Instructions burned: 281 (million)
% 34.99/5.31 % (495198)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=858239242:i=823:fsr=off:rtra=on_2957 on theBenchmark for (2957ds/823Mi)
% 34.99/5.31 % (495199)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 34.99/5.31 % (495199)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=660131059:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/16202Mi)
% 34.99/5.31 % (495199)Refutation not found, incomplete strategy
% 34.99/5.31 % (495199)------------------------------
% 34.99/5.31 % (495199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.99/5.31 % (495199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.99/5.31 % (495199)CaDiCaL version: 2.1.3
% 34.99/5.31 % (495199)Termination reason: Refutation not found, incomplete strategy
% 34.99/5.31 % (495199)Time elapsed: 0.002 s
% 34.99/5.31 % (495199)Peak memory usage: 11 MB
% 34.99/5.31 % (495199)Instructions burned: 1 (million)
% 34.99/5.31 % (495199)------------------------------
% 34.99/5.31 % (495199)------------------------------
% 34.99/5.31 % (495195)Instruction limit reached!
% 34.99/5.31 % (495195)------------------------------
% 34.99/5.31 % (495195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.99/5.31 % (495195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.99/5.31 % (495195)CaDiCaL version: 2.1.3
% 34.99/5.31 % (495195)Termination reason: Instruction limit
% 34.99/5.31 % (495195)Termination phase: Saturation
% 34.99/5.31 % (495195)Time elapsed: 0.086 s
% 34.99/5.31 % (495195)Peak memory usage: 12 MB
% 34.99/5.31 % (495195)Instructions burned: 254 (million)
% 34.99/5.31 % (495203)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 34.99/5.31 % (495203)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 34.99/5.31 % (495203)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=507858682:i=177:add=on:bd=preordered:rtra=on:rawr=on_2957 on theBenchmark for (2957ds/177Mi)
% 34.99/5.31 % (495202)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=4076890542:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/300Mi)
% 34.99/5.31 % (495203)Instruction limit reached!
% 34.99/5.31 % (495203)------------------------------
% 34.99/5.31 % (495203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.99/5.31 % (495203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.99/5.31 % (495203)CaDiCaL version: 2.1.3
% 34.99/5.31 % (495203)Termination reason: Instruction limit
% 34.99/5.31 % (495203)Termination phase: Saturation
% 34.99/5.31 % (495203)Time elapsed: 0.073 s
% 34.99/5.31 % (495203)Peak memory usage: 12 MB
% 34.99/5.31 % (495203)Instructions burned: 177 (million)
% 34.99/5.31 % (495206)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=438216215:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/715Mi)
% 34.99/5.31 % (495206)Refutation not found, incomplete strategy
% 34.99/5.31 % (495206)------------------------------
% 34.99/5.31 % (495206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.99/5.31 % (495206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.49/5.47 % (495206)CaDiCaL version: 2.1.3
% 35.49/5.47 % (495206)Termination reason: Refutation not found, incomplete strategy
% 35.49/5.47 % (495206)Time elapsed: 0.001 s
% 35.49/5.47 % (495206)Peak memory usage: 11 MB
% 35.49/5.47 % (495206)Instructions burned: 2 (million)
% 35.49/5.47 % (495206)------------------------------
% 35.49/5.47 % (495206)------------------------------
% 35.49/5.47 % (495208)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 35.49/5.47 % (495208)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 35.49/5.47 % (495208)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=1532967410:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2955 on theBenchmark for (2955ds/230Mi)
% 35.49/5.47 % (495208)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.49/5.47 % (495208)Instruction limit reached!
% 35.49/5.47 % (495208)------------------------------
% 35.49/5.47 % (495208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.49/5.47 % (495208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.49/5.47 % (495208)CaDiCaL version: 2.1.3
% 35.49/5.47 % (495208)Termination reason: Instruction limit
% 35.49/5.47 % (495208)Termination phase: Saturation
% 35.49/5.47 % (495208)Time elapsed: 0.095 s
% 35.49/5.47 % (495208)Peak memory usage: 12 MB
% 35.49/5.47 % (495208)Instructions burned: 231 (million)
% 35.49/5.47 % (495210)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1443394695:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2954 on theBenchmark for (2954ds/606Mi)
% 35.49/5.47 % (495202)Instruction limit reached!
% 35.49/5.47 % (495202)------------------------------
% 35.49/5.47 % (495202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.49/5.47 % (495202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.49/5.47 % (495202)CaDiCaL version: 2.1.3
% 35.49/5.47 % (495202)Termination reason: Instruction limit
% 35.49/5.47 % (495202)Termination phase: Saturation
% 35.49/5.47 % (495202)Time elapsed: 0.231 s
% 35.49/5.47 % (495202)Peak memory usage: 12 MB
% 35.49/5.47 % (495202)Instructions burned: 301 (million)
% 35.49/5.47 % (495212)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 35.49/5.47 % (495212)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4015957980:lrd=on:i=841:nm=0:rtra=on_2954 on theBenchmark for (2954ds/841Mi)
% 35.49/5.47 % (495194)Instruction limit reached!
% 35.49/5.47 % (495194)------------------------------
% 35.49/5.47 % (495194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.49/5.47 % (495194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.49/5.47 % (495194)CaDiCaL version: 2.1.3
% 35.49/5.47 % (495194)Termination reason: Instruction limit
% 35.49/5.47 % (495194)Termination phase: Saturation
% 35.49/5.47 % (495194)Time elapsed: 0.422 s
% 35.49/5.47 % (495194)Peak memory usage: 13 MB
% 35.49/5.47 % (495194)Instructions burned: 708 (million)
% 35.49/5.47 % (495214)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=672427698:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2953 on theBenchmark for (2953ds/445Mi)
% 35.49/5.47 % (495210)Instruction limit reached!
% 35.49/5.47 % (495210)------------------------------
% 35.49/5.47 % (495210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.49/5.47 % (495210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.49/5.47 % (495210)CaDiCaL version: 2.1.3
% 35.49/5.47 % (495210)Termination reason: Instruction limit
% 35.49/5.47 % (495210)Termination phase: Saturation
% 35.49/5.47 % (495210)Time elapsed: 0.245 s
% 35.49/5.47 % (495210)Peak memory usage: 12 MB
% 35.49/5.47 % (495210)Instructions burned: 609 (million)
% 35.49/5.47 % (495216)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3860909420:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/71Mi)
% 35.49/5.47 % (495216)Instruction limit reached!
% 35.49/5.47 % (495216)------------------------------
% 35.49/5.47 % (495216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.90/5.57 % (495216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.90/5.57 % (495216)CaDiCaL version: 2.1.3
% 35.90/5.57 % (495216)Termination reason: Instruction limit
% 35.90/5.57 % (495216)Termination phase: Saturation
% 35.90/5.57 % (495216)Time elapsed: 0.033 s
% 35.90/5.57 % (495216)Peak memory usage: 12 MB
% 35.90/5.57 % (495216)Instructions burned: 71 (million)
% 35.90/5.57 % (495218)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
% 35.90/5.57 % (495218)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.90/5.57 % (495218)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3341947558:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2951 on theBenchmark for (2951ds/100Mi)
% 35.90/5.57 % (495198)Instruction limit reached!
% 35.90/5.57 % (495198)------------------------------
% 35.90/5.58 % (495198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.90/5.58 % (495198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.90/5.58 % (495198)CaDiCaL version: 2.1.3
% 35.90/5.58 % (495198)Termination reason: Instruction limit
% 35.90/5.58 % (495198)Termination phase: Saturation
% 35.90/5.58 % (495198)Time elapsed: 0.613 s
% 35.90/5.58 % (495198)Peak memory usage: 13 MB
% 35.90/5.58 % (495198)Instructions burned: 824 (million)
% 35.90/5.58 % (495218)Instruction limit reached!
% 35.90/5.58 % (495218)------------------------------
% 35.90/5.58 % (495218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.90/5.58 % (495218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.90/5.58 % (495218)CaDiCaL version: 2.1.3
% 35.90/5.58 % (495218)Termination reason: Instruction limit
% 35.90/5.58 % (495218)Termination phase: Saturation
% 35.90/5.58 % (495218)Time elapsed: 0.038 s
% 35.90/5.58 % (495218)Peak memory usage: 12 MB
% 35.90/5.58 % (495218)Instructions burned: 103 (million)
% 35.90/5.58 % (495220)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 35.90/5.58 % (495220)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=3797228277:i=1352:add=on:aac=none:rtra=on_2951 on theBenchmark for (2951ds/1352Mi)
% 35.90/5.58 % (495220)Refutation not found, incomplete strategy
% 35.90/5.58 % (495220)------------------------------
% 35.90/5.58 % (495220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.90/5.58 % (495220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.90/5.58 % (495220)CaDiCaL version: 2.1.3
% 35.90/5.58 % (495220)Termination reason: Refutation not found, incomplete strategy
% 35.90/5.58 % (495220)Time elapsed: 0.002 s
% 35.90/5.58 % (495220)Peak memory usage: 12 MB
% 35.90/5.58 % (495220)Instructions burned: 3 (million)
% 35.90/5.58 % (495220)------------------------------
% 35.90/5.58 % (495220)------------------------------
% 35.90/5.58 % (495221)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=1017122444:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2951 on theBenchmark for (2951ds/646Mi)
% 35.90/5.58 % (495223)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3004662088:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/1924Mi)
% 35.90/5.58 % (495223)Refutation not found, incomplete strategy
% 35.90/5.58 % (495223)------------------------------
% 35.90/5.58 % (495223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.90/5.58 % (495223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.90/5.58 % (495223)CaDiCaL version: 2.1.3
% 35.90/5.58 % (495223)Termination reason: Refutation not found, incomplete strategy
% 35.90/5.58 % (495223)Time elapsed: 0.0000 s
% 35.90/5.58 % (495223)Peak memory usage: 11 MB
% 35.90/5.58 % (495223)------------------------------
% 35.90/5.58 % (495223)------------------------------
% 35.90/5.58 % (495226)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=53474893:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2950 on theBenchmark for (2950ds/984Mi)
% 35.90/5.58 % (495226)Refutation not found, incomplete strategy
% 36.54/5.66 % (495226)------------------------------
% 36.54/5.66 % (495226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.54/5.66 % (495226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.54/5.66 % (495226)CaDiCaL version: 2.1.3
% 36.54/5.66 % (495226)Termination reason: Refutation not found, incomplete strategy
% 36.54/5.66 % (495226)Time elapsed: 0.001 s
% 36.54/5.66 % (495226)Peak memory usage: 12 MB
% 36.54/5.66 % (495226)Instructions burned: 2 (million)
% 36.54/5.66 % (495226)------------------------------
% 36.54/5.66 % (495226)------------------------------
% 36.54/5.66 % (495228)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2648401398:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2950 on theBenchmark for (2950ds/592Mi)
% 36.54/5.66 % (495138)Instruction limit reached!
% 36.54/5.66 % (495138)------------------------------
% 36.54/5.66 % (495138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.54/5.66 % (495138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.54/5.66 % (495138)CaDiCaL version: 2.1.3
% 36.54/5.66 % (495138)Termination reason: Instruction limit
% 36.54/5.66 % (495138)Termination phase: Saturation
% 36.54/5.66 % (495138)Time elapsed: 1.639 s
% 36.54/5.66 % (495138)Peak memory usage: 17 MB
% 36.54/5.66 % (495138)Instructions burned: 2240 (million)
% 36.54/5.66 % (495230)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1505542953:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2950 on theBenchmark for (2950ds/872Mi)
% 36.54/5.66 % (495230)Refutation not found, incomplete strategy
% 36.54/5.66 % (495230)------------------------------
% 36.54/5.66 % (495230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.54/5.66 % (495230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.54/5.66 % (495230)CaDiCaL version: 2.1.3
% 36.54/5.66 % (495230)Termination reason: Refutation not found, incomplete strategy
% 36.54/5.66 % (495230)Time elapsed: 0.001 s
% 36.54/5.66 % (495230)Peak memory usage: 11 MB
% 36.54/5.66 % (495230)Instructions burned: 1 (million)
% 36.54/5.66 % (495230)------------------------------
% 36.54/5.66 % (495230)------------------------------
% 36.54/5.66 % (495232)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 36.54/5.66 % (495232)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=932262040:i=999:add=on:rtra=on_2949 on theBenchmark for (2949ds/999Mi)
% 36.54/5.66 % (495214)Instruction limit reached!
% 36.54/5.66 % (495214)------------------------------
% 36.54/5.66 % (495214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.54/5.66 % (495214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.54/5.66 % (495214)CaDiCaL version: 2.1.3
% 36.54/5.66 % (495214)Termination reason: Instruction limit
% 36.54/5.66 % (495214)Termination phase: Saturation
% 36.54/5.66 % (495214)Time elapsed: 0.377 s
% 36.54/5.66 % (495214)Peak memory usage: 14 MB
% 36.54/5.66 % (495214)Instructions burned: 446 (million)
% 36.54/5.66 % (495234)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 36.54/5.66 % (495234)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=2760323626:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2949 on theBenchmark for (2949ds/244Mi)
% 36.54/5.66 % (495234)Refutation not found, incomplete strategy
% 36.54/5.66 % (495234)------------------------------
% 36.54/5.66 % (495234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.54/5.66 % (495234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.54/5.66 % (495234)CaDiCaL version: 2.1.3
% 36.54/5.66 % (495234)Termination reason: Refutation not found, incomplete strategy
% 36.54/5.66 % (495234)Time elapsed: 0.003 s
% 36.54/5.66 % (495234)Peak memory usage: 11 MB
% 36.54/5.66 % (495234)Instructions burned: 3 (million)
% 36.54/5.66 % (495234)------------------------------
% 36.54/5.66 % (495234)------------------------------
% 36.54/5.66 % (495236)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2307137139:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/113Mi)
% 36.54/5.66 % (495236)Refutation not found, incomplete strategy
% 38.15/5.92 % (495236)------------------------------
% 38.15/5.92 % (495236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.15/5.92 % (495236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/5.92 % (495236)CaDiCaL version: 2.1.3
% 38.15/5.92 % (495236)Termination reason: Refutation not found, incomplete strategy
% 38.15/5.92 % (495236)Time elapsed: 0.003 s
% 38.15/5.92 % (495236)Peak memory usage: 12 MB
% 38.15/5.92 % (495236)Instructions burned: 2 (million)
% 38.15/5.92 % (495236)------------------------------
% 38.15/5.92 % (495236)------------------------------
% 38.15/5.92 % (495238)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1346453709:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/7795Mi)
% 38.15/5.92 % (495238)Refutation not found, incomplete strategy
% 38.15/5.92 % (495238)------------------------------
% 38.15/5.92 % (495238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.15/5.92 % (495238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/5.92 % (495238)CaDiCaL version: 2.1.3
% 38.15/5.92 % (495238)Termination reason: Refutation not found, incomplete strategy
% 38.15/5.92 % (495238)Time elapsed: 0.001 s
% 38.15/5.92 % (495238)Peak memory usage: 11 MB
% 38.15/5.92 % (495238)------------------------------
% 38.15/5.92 % (495238)------------------------------
% 38.15/5.92 % (495240)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2919881907:st=2:i=5026:sd=1:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/5026Mi)
% 38.15/5.92 % (495240)Refutation not found, incomplete strategy
% 38.15/5.92 % (495240)------------------------------
% 38.15/5.92 % (495240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.15/5.92 % (495240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/5.92 % (495240)CaDiCaL version: 2.1.3
% 38.15/5.92 % (495240)Termination reason: Refutation not found, incomplete strategy
% 38.15/5.92 % (495240)Time elapsed: 0.001 s
% 38.15/5.92 % (495240)Peak memory usage: 11 MB
% 38.15/5.92 % (495240)------------------------------
% 38.15/5.92 % (495240)------------------------------
% 38.15/5.92 % (495228)Instruction limit reached!
% 38.15/5.92 % (495228)------------------------------
% 38.15/5.92 % (495228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.15/5.92 % (495228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/5.92 % (495228)CaDiCaL version: 2.1.3
% 38.15/5.92 % (495228)Termination reason: Instruction limit
% 38.15/5.92 % (495228)Termination phase: Saturation
% 38.15/5.92 % (495228)Time elapsed: 0.220 s
% 38.15/5.92 % (495228)Peak memory usage: 13 MB
% 38.15/5.92 % (495228)Instructions burned: 594 (million)
% 38.15/5.92 % (495243)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4047755118:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2948 on theBenchmark for (2948ds/1144Mi)
% 38.15/5.92 % (495243)Refutation not found, incomplete strategy
% 38.15/5.92 % (495243)------------------------------
% 38.15/5.92 % (495243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.15/5.92 % (495243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/5.92 % (495243)CaDiCaL version: 2.1.3
% 38.15/5.92 % (495243)Termination reason: Refutation not found, incomplete strategy
% 38.15/5.92 % (495243)Time elapsed: 0.0000 s
% 38.15/5.92 % (495243)Peak memory usage: 11 MB
% 38.15/5.92 % (495243)Instructions burned: 1 (million)
% 38.15/5.92 % (495243)------------------------------
% 38.15/5.92 % (495243)------------------------------
% 38.15/5.92 % (495242)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 38.15/5.92 % (495212)Instruction limit reached!
% 38.15/5.92 % (495212)------------------------------
% 38.15/5.92 % (495212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.15/5.92 % (495212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/5.92 % (495212)CaDiCaL version: 2.1.3
% 38.15/5.92 % (495212)Termination reason: Instruction limit
% 38.15/5.92 % (495212)Termination phase: Saturation
% 38.15/5.92 % (495212)Time elapsed: 0.622 s
% 38.15/5.92 % (495212)Peak memory usage: 13 MB
% 38.15/5.92 % (495212)Instructions burned: 841 (million)
% 38.15/5.92 % (495242)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=4076291900:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2948 on theBenchmark for (2948ds/763Mi)
% 42.54/6.49 % (495242)Refutation not found, incomplete strategy
% 42.54/6.49 % (495242)------------------------------
% 42.54/6.49 % (495242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.54/6.49 % (495242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.54/6.49 % (495242)CaDiCaL version: 2.1.3
% 42.54/6.49 % (495242)Termination reason: Refutation not found, incomplete strategy
% 42.54/6.49 % (495242)Time elapsed: 0.002 s
% 42.54/6.49 % (495242)Peak memory usage: 11 MB
% 42.54/6.49 % (495242)Instructions burned: 1 (million)
% 42.54/6.49 % (495242)------------------------------
% 42.54/6.49 % (495242)------------------------------
% 42.54/6.49 % (495245)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 42.54/6.49 % (495245)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=3714630302:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2948 on theBenchmark for (2948ds/52Mi)
% 42.54/6.49 % (495245)Instruction limit reached!
% 42.54/6.49 % (495245)------------------------------
% 42.54/6.49 % (495245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.54/6.49 % (495245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.54/6.49 % (495245)CaDiCaL version: 2.1.3
% 42.54/6.49 % (495245)Termination reason: Instruction limit
% 42.54/6.49 % (495245)Termination phase: Saturation
% 42.54/6.49 % (495245)Time elapsed: 0.019 s
% 42.54/6.49 % (495245)Peak memory usage: 12 MB
% 42.54/6.49 % (495245)Instructions burned: 53 (million)
% 42.54/6.49 % (495247)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1779164774:i=1724:fsr=off:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/1724Mi)
% 42.54/6.49 % (495248)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=4024203860:i=439:add=on:slsql=off:rtra=on:ntd=on_2947 on theBenchmark for (2947ds/439Mi)
% 42.54/6.49 % (495250)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2429476819:i=6395:sd=1:rtra=on:ss=axioms_2947 on theBenchmark for (2947ds/6395Mi)
% 42.54/6.49 % (495250)Refutation not found, incomplete strategy
% 42.54/6.49 % (495250)------------------------------
% 42.54/6.49 % (495250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.54/6.49 % (495250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.54/6.49 % (495250)CaDiCaL version: 2.1.3
% 42.54/6.49 % (495250)Termination reason: Refutation not found, incomplete strategy
% 42.54/6.49 % (495250)Time elapsed: 0.0000 s
% 42.54/6.49 % (495250)Peak memory usage: 11 MB
% 42.54/6.49 % (495250)Instructions burned: 1 (million)
% 42.54/6.49 % (495250)------------------------------
% 42.54/6.49 % (495250)------------------------------
% 42.54/6.49 % (495254)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 42.54/6.49 % (495254)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1234387380:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2947 on theBenchmark for (2947ds/6762Mi)
% 42.54/6.49 % (495254)Refutation not found, incomplete strategy
% 42.54/6.49 % (495254)------------------------------
% 42.54/6.49 % (495254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.54/6.49 % (495254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.54/6.49 % (495254)CaDiCaL version: 2.1.3
% 42.54/6.49 % (495254)Termination reason: Refutation not found, incomplete strategy
% 42.54/6.49 % (495254)Time elapsed: 0.0000 s
% 42.54/6.49 % (495254)Peak memory usage: 11 MB
% 42.54/6.49 % (495254)------------------------------
% 42.54/6.49 % (495254)------------------------------
% 42.54/6.49 % (495256)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 42.54/6.49 % (495256)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=989577380:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2947 on theBenchmark for (2947ds/376Mi)
% 42.54/6.49 % (495221)Instruction limit reached!
% 42.54/6.49 % (495221)------------------------------
% 42.54/6.49 % (495221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.54/6.49 % (495221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.84/6.89 % (495221)CaDiCaL version: 2.1.3
% 44.84/6.89 % (495221)Termination reason: Instruction limit
% 44.84/6.89 % (495221)Termination phase: Saturation
% 44.84/6.89 % (495221)Time elapsed: 0.377 s
% 44.84/6.89 % (495221)Peak memory usage: 14 MB
% 44.84/6.89 % (495221)Instructions burned: 647 (million)
% 44.84/6.89 % (495258)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=3349919797:i=965:bd=all:ins=4:rtra=on_2947 on theBenchmark for (2947ds/965Mi)
% 44.84/6.89 % (495256)Instruction limit reached!
% 44.84/6.89 % (495256)------------------------------
% 44.84/6.89 % (495256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.84/6.89 % (495256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.84/6.89 % (495256)CaDiCaL version: 2.1.3
% 44.84/6.89 % (495256)Termination reason: Instruction limit
% 44.84/6.89 % (495256)Termination phase: Saturation
% 44.84/6.89 % (495256)Time elapsed: 0.167 s
% 44.84/6.89 % (495256)Peak memory usage: 14 MB
% 44.84/6.89 % (495256)Instructions burned: 378 (million)
% 44.84/6.89 % (495260)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1274151228:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2945 on theBenchmark for (2945ds/5013Mi)
% 44.84/6.89 % (495260)Refutation not found, incomplete strategy
% 44.84/6.89 % (495260)------------------------------
% 44.84/6.89 % (495260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.84/6.89 % (495260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.84/6.89 % (495260)CaDiCaL version: 2.1.3
% 44.84/6.89 % (495260)Termination reason: Refutation not found, incomplete strategy
% 44.84/6.89 % (495260)Time elapsed: 0.001 s
% 44.84/6.89 % (495260)Peak memory usage: 11 MB
% 44.84/6.89 % (495260)Instructions burned: 1 (million)
% 44.84/6.89 % (495260)------------------------------
% 44.84/6.89 % (495260)------------------------------
% 44.84/6.89 % (495248)Instruction limit reached!
% 44.84/6.89 % (495248)------------------------------
% 44.84/6.89 % (495248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.84/6.89 % (495248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.84/6.89 % (495248)CaDiCaL version: 2.1.3
% 44.84/6.89 % (495248)Termination reason: Instruction limit
% 44.84/6.89 % (495248)Termination phase: Saturation
% 44.84/6.89 % (495248)Time elapsed: 0.243 s
% 44.84/6.89 % (495248)Peak memory usage: 12 MB
% 44.84/6.89 % (495248)Instructions burned: 441 (million)
% 44.84/6.89 % (495262)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=163630162:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2945 on theBenchmark for (2945ds/1583Mi)
% 44.84/6.89 % (495263)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 44.84/6.89 % (495263)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 44.84/6.89 % (495263)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
% 44.84/6.89 % (495263)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 44.84/6.89 % (495263)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=3453602124: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_2945 on theBenchmark for (2945ds/1774Mi)
% 44.84/6.89 % (495263)Refutation not found, incomplete strategy
% 44.84/6.89 % (495263)------------------------------
% 44.84/6.89 % (495263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.84/6.89 % (495263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.84/6.89 % (495263)CaDiCaL version: 2.1.3
% 44.84/6.89 % (495263)Termination reason: Refutation not found, incomplete strategy
% 44.84/6.89 % (495263)Time elapsed: 0.001 s
% 44.84/6.89 % (495263)Peak memory usage: 11 MB
% 44.84/6.89 % (495263)------------------------------
% 44.84/6.89 % (495263)------------------------------
% 44.84/6.89 % (495266)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2589123461:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/515Mi)
% 44.84/6.89 % (495266)Refutation not found, incomplete strategy
% 44.84/6.89 % (495266)------------------------------
% 48.18/7.16 % (495266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.18/7.16 % (495266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.18/7.16 % (495266)CaDiCaL version: 2.1.3
% 48.18/7.16 % (495266)Termination reason: Refutation not found, incomplete strategy
% 48.18/7.16 % (495266)Time elapsed: 0.002 s
% 48.18/7.16 % (495266)Peak memory usage: 12 MB
% 48.18/7.16 % (495266)Instructions burned: 1 (million)
% 48.18/7.16 % (495266)------------------------------
% 48.18/7.16 % (495266)------------------------------
% 48.18/7.16 % (495268)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
% 48.18/7.16 % (495268)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=794145564:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2944 on theBenchmark for (2944ds/1297Mi)
% 48.18/7.16 % (495232)Instruction limit reached!
% 48.18/7.16 % (495232)------------------------------
% 48.18/7.16 % (495232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.18/7.16 % (495232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.18/7.16 % (495232)CaDiCaL version: 2.1.3
% 48.18/7.16 % (495232)Termination reason: Instruction limit
% 48.18/7.16 % (495232)Termination phase: Saturation
% 48.18/7.16 % (495232)Time elapsed: 0.686 s
% 48.18/7.16 % (495232)Peak memory usage: 14 MB
% 48.18/7.16 % (495232)Instructions burned: 1000 (million)
% 48.18/7.16 % (495270)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2912553073:s2a=on:i=611:rtra=on:gsp=on_2942 on theBenchmark for (2942ds/611Mi)
% 48.18/7.16 % (495270)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 48.18/7.16 % (495258)Instruction limit reached!
% 48.18/7.16 % (495258)------------------------------
% 48.18/7.16 % (495258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.18/7.16 % (495258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.18/7.16 % (495258)CaDiCaL version: 2.1.3
% 48.18/7.16 % (495258)Termination reason: Instruction limit
% 48.18/7.16 % (495258)Termination phase: Saturation
% 48.18/7.16 % (495258)Time elapsed: 0.711 s
% 48.18/7.16 % (495258)Peak memory usage: 15 MB
% 48.18/7.16 % (495258)Instructions burned: 965 (million)
% 48.18/7.16 % (495272)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 48.18/7.16 % (495272)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2000258292:i=72:bd=all:rtra=on_2939 on theBenchmark for (2939ds/72Mi)
% 48.18/7.16 % (495272)Refutation not found, incomplete strategy
% 48.18/7.16 % (495272)------------------------------
% 48.18/7.16 % (495272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.18/7.16 % (495272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.18/7.16 % (495272)CaDiCaL version: 2.1.3
% 48.18/7.16 % (495272)Termination reason: Refutation not found, incomplete strategy
% 48.18/7.16 % (495272)Time elapsed: 0.003 s
% 48.18/7.16 % (495272)Peak memory usage: 12 MB
% 48.18/7.16 % (495272)Instructions burned: 2 (million)
% 48.18/7.16 % (495272)------------------------------
% 48.18/7.16 % (495272)------------------------------
% 48.18/7.16 % (495262)Instruction limit reached!
% 48.18/7.16 % (495262)------------------------------
% 48.18/7.16 % (495262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.18/7.16 % (495262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.18/7.16 % (495262)CaDiCaL version: 2.1.3
% 48.18/7.16 % (495262)Termination reason: Instruction limit
% 48.18/7.16 % (495262)Termination phase: Saturation
% 48.18/7.16 % (495262)Time elapsed: 0.611 s
% 48.18/7.16 % (495262)Peak memory usage: 13 MB
% 48.18/7.16 % (495262)Instructions burned: 1585 (million)
% 48.18/7.16 % (495274)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=3605010337:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2939 on theBenchmark for (2939ds/6580Mi)
% 48.18/7.16 % (495275)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3084153584:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2938 on theBenchmark for (2938ds/6209Mi)
% 51.69/7.82 % (495275)Refutation not found, incomplete strategy
% 51.69/7.82 % (495275)------------------------------
% 51.69/7.82 % (495275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.69/7.82 % (495275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.69/7.82 % (495275)CaDiCaL version: 2.1.3
% 51.69/7.82 % (495275)Termination reason: Refutation not found, incomplete strategy
% 51.69/7.82 % (495275)Time elapsed: 0.0000 s
% 51.69/7.82 % (495275)Peak memory usage: 11 MB
% 51.69/7.82 % (495275)Instructions burned: 1 (million)
% 51.69/7.82 % (495275)------------------------------
% 51.69/7.82 % (495275)------------------------------
% 51.69/7.82 % (495278)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2856566184:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2938 on theBenchmark for (2938ds/1003Mi)
% 51.69/7.82 % (495270)Instruction limit reached!
% 51.69/7.82 % (495270)------------------------------
% 51.69/7.82 % (495270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.69/7.82 % (495270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.69/7.82 % (495270)CaDiCaL version: 2.1.3
% 51.69/7.82 % (495270)Termination reason: Instruction limit
% 51.69/7.82 % (495270)Termination phase: Saturation
% 51.69/7.82 % (495270)Time elapsed: 0.475 s
% 51.69/7.82 % (495270)Peak memory usage: 13 MB
% 51.69/7.82 % (495270)Instructions burned: 611 (million)
% 51.69/7.82 % (495280)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 51.69/7.82 % (495280)ott+1002_16_sil=128000:si=on:random_seed=1270695037:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2937 on theBenchmark for (2937ds/409Mi)
% 51.69/7.82 % (495247)Instruction limit reached!
% 51.69/7.82 % (495247)------------------------------
% 51.69/7.82 % (495247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.69/7.82 % (495247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.69/7.82 % (495247)CaDiCaL version: 2.1.3
% 51.69/7.82 % (495247)Termination reason: Instruction limit
% 51.69/7.82 % (495247)Termination phase: Saturation
% 51.69/7.82 % (495247)Time elapsed: 1.236 s
% 51.69/7.82 % (495247)Peak memory usage: 13 MB
% 51.69/7.82 % (495247)Instructions burned: 1724 (million)
% 51.69/7.82 % (495280)Instruction limit reached!
% 51.69/7.82 % (495280)------------------------------
% 51.69/7.82 % (495280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.69/7.82 % (495280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.69/7.82 % (495280)CaDiCaL version: 2.1.3
% 51.69/7.82 % (495280)Termination reason: Instruction limit
% 51.69/7.82 % (495280)Termination phase: Saturation
% 51.69/7.82 % (495280)Time elapsed: 0.229 s
% 51.69/7.82 % (495280)Peak memory usage: 12 MB
% 51.69/7.82 % (495280)Instructions burned: 411 (million)
% 51.69/7.82 % (495278)Instruction limit reached!
% 51.69/7.82 % (495278)------------------------------
% 51.69/7.82 % (495278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.69/7.82 % (495278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.69/7.82 % (495278)CaDiCaL version: 2.1.3
% 51.69/7.82 % (495278)Termination reason: Instruction limit
% 51.69/7.82 % (495278)Termination phase: Saturation
% 51.69/7.82 % (495278)Time elapsed: 0.364 s
% 51.69/7.82 % (495278)Peak memory usage: 13 MB
% 51.69/7.82 % (495278)Instructions burned: 1005 (million)
% 51.69/7.82 % (495282)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1210942258:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2935 on theBenchmark for (2935ds/403Mi)
% 51.69/7.82 % (495282)Refutation not found, incomplete strategy
% 51.69/7.82 % (495282)------------------------------
% 51.69/7.82 % (495282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.69/7.82 % (495282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.69/7.82 % (495282)CaDiCaL version: 2.1.3
% 51.69/7.82 % (495282)Termination reason: Refutation not found, incomplete strategy
% 51.69/7.82 % (495282)Time elapsed: 0.002 s
% 51.69/7.82 % (495282)Peak memory usage: 11 MB
% 51.69/7.82 % (495282)Instructions burned: 1 (million)
% 51.69/7.82 % (495282)------------------------------
% 51.69/7.82 % (495282)------------------------------
% 51.69/7.82 % (495283)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1004592923:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2935 on theBenchmark for (2935ds/6843Mi)
% 54.60/8.13 % (495284)lrs+10_2:1_si=on:random_seed=3005934549:s2a=on:i=506:rtra=on:fe=abstraction_2934 on theBenchmark for (2934ds/506Mi)
% 54.60/8.13 % (495283)Refutation not found, incomplete strategy
% 54.60/8.13 % (495283)------------------------------
% 54.60/8.13 % (495283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.60/8.13 % (495283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.60/8.13 % (495283)CaDiCaL version: 2.1.3
% 54.60/8.13 % (495283)Termination reason: Refutation not found, incomplete strategy
% 54.60/8.13 % (495283)Time elapsed: 0.002 s
% 54.60/8.13 % (495283)Peak memory usage: 11 MB
% 54.60/8.13 % (495283)Instructions burned: 1 (million)
% 54.60/8.13 % (495283)------------------------------
% 54.60/8.13 % (495283)------------------------------
% 54.60/8.13 % (495286)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=2433305732:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2934 on theBenchmark for (2934ds/888Mi)
% 54.60/8.13 % (495289)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 54.60/8.13 % (495289)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=2427017309:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2934 on theBenchmark for (2934ds/416Mi)
% 54.60/8.13 % (495268)Instruction limit reached!
% 54.60/8.13 % (495268)------------------------------
% 54.60/8.13 % (495268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.60/8.13 % (495268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.60/8.13 % (495268)CaDiCaL version: 2.1.3
% 54.60/8.13 % (495268)Termination reason: Instruction limit
% 54.60/8.13 % (495268)Termination phase: Saturation
% 54.60/8.13 % (495268)Time elapsed: 0.978 s
% 54.60/8.13 % (495268)Peak memory usage: 13 MB
% 54.60/8.13 % (495268)Instructions burned: 1297 (million)
% 54.60/8.13 % (495292)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=3161670900:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2934 on theBenchmark for (2934ds/13534Mi)
% 54.60/8.13 % (495292)Refutation not found, incomplete strategy
% 54.60/8.13 % (495292)------------------------------
% 54.60/8.13 % (495292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.60/8.13 % (495292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.60/8.13 % (495292)CaDiCaL version: 2.1.3
% 54.60/8.13 % (495292)Termination reason: Refutation not found, incomplete strategy
% 54.60/8.13 % (495292)Time elapsed: 0.001 s
% 54.60/8.13 % (495292)Peak memory usage: 11 MB
% 54.60/8.13 % (495292)Instructions burned: 1 (million)
% 54.60/8.13 % (495292)------------------------------
% 54.60/8.13 % (495292)------------------------------
% 54.60/8.13 % (495294)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 54.60/8.13 % (495294)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2640095460:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2933 on theBenchmark for (2933ds/206Mi)
% 54.60/8.13 % (495284)Instruction limit reached!
% 54.60/8.13 % (495284)------------------------------
% 54.60/8.13 % (495284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.60/8.13 % (495284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.60/8.13 % (495284)CaDiCaL version: 2.1.3
% 54.60/8.13 % (495284)Termination reason: Instruction limit
% 54.60/8.13 % (495284)Termination phase: Saturation
% 54.60/8.13 % (495284)Time elapsed: 0.201 s
% 54.60/8.13 % (495284)Peak memory usage: 12 MB
% 54.60/8.13 % (495284)Instructions burned: 507 (million)
% 54.60/8.13 % (495296)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=2132622794:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2932 on theBenchmark for (2932ds/2295Mi)
% 54.60/8.13 % (495294)Instruction limit reached!
% 54.60/8.13 % (495294)------------------------------
% 54.60/8.13 % (495294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495294)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495294)Termination reason: Instruction limit
% 57.52/8.64 % (495294)Termination phase: Saturation
% 57.52/8.64 % (495294)Time elapsed: 0.161 s
% 57.52/8.64 % (495294)Peak memory usage: 12 MB
% 57.52/8.64 % (495294)Instructions burned: 207 (million)
% 57.52/8.64 % (495298)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1572178947:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2932 on theBenchmark for (2932ds/637Mi)
% 57.52/8.64 % (495289)Instruction limit reached!
% 57.52/8.64 % (495289)------------------------------
% 57.52/8.64 % (495289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495289)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495289)Termination reason: Instruction limit
% 57.52/8.64 % (495289)Termination phase: Saturation
% 57.52/8.64 % (495289)Time elapsed: 0.340 s
% 57.52/8.64 % (495289)Peak memory usage: 14 MB
% 57.52/8.64 % (495289)Instructions burned: 417 (million)
% 57.52/8.64 % (495300)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3597653232:hsq=on:i=667:rtra=on:ixr=off_2931 on theBenchmark for (2931ds/667Mi)
% 57.52/8.64 % (495286)Instruction limit reached!
% 57.52/8.64 % (495286)------------------------------
% 57.52/8.64 % (495286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495286)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495286)Termination reason: Instruction limit
% 57.52/8.64 % (495286)Termination phase: Saturation
% 57.52/8.64 % (495286)Time elapsed: 0.674 s
% 57.52/8.64 % (495286)Peak memory usage: 13 MB
% 57.52/8.64 % (495286)Instructions burned: 889 (million)
% 57.52/8.64 % (495302)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=4019365054:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2927 on theBenchmark for (2927ds/1801Mi)
% 57.52/8.64 % (495300)Instruction limit reached!
% 57.52/8.64 % (495300)------------------------------
% 57.52/8.64 % (495300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495300)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495300)Termination reason: Instruction limit
% 57.52/8.64 % (495300)Termination phase: Saturation
% 57.52/8.64 % (495300)Time elapsed: 0.399 s
% 57.52/8.64 % (495300)Peak memory usage: 12 MB
% 57.52/8.64 % (495300)Instructions burned: 668 (million)
% 57.52/8.64 % (495298)Instruction limit reached!
% 57.52/8.64 % (495298)------------------------------
% 57.52/8.64 % (495298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495298)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495298)Termination reason: Instruction limit
% 57.52/8.64 % (495298)Termination phase: Saturation
% 57.52/8.64 % (495298)Time elapsed: 0.505 s
% 57.52/8.64 % (495298)Peak memory usage: 14 MB
% 57.52/8.64 % (495298)Instructions burned: 637 (million)
% 57.52/8.64 % (495304)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=312429652:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2926 on theBenchmark for (2926ds/555Mi)
% 57.52/8.64 % (495305)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=2541284368:i=88:s2at=3:nm=2:rtra=on:rawr=on_2926 on theBenchmark for (2926ds/88Mi)
% 57.52/8.64 % (495305)Instruction limit reached!
% 57.52/8.64 % (495305)------------------------------
% 57.52/8.64 % (495305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495305)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495305)Termination reason: Instruction limit
% 57.52/8.64 % (495305)Termination phase: Saturation
% 57.52/8.64 % (495305)Time elapsed: 0.064 s
% 57.52/8.64 % (495305)Peak memory usage: 12 MB
% 57.52/8.64 % (495305)Instructions burned: 90 (million)
% 57.52/8.64 % (495184)Instruction limit reached!
% 57.52/8.64 % (495184)------------------------------
% 57.52/8.64 % (495184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495184)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495184)Termination reason: Instruction limit
% 57.52/8.64 % (495184)Termination phase: Saturation
% 57.52/8.64 % (495184)Time elapsed: 3.377 s
% 57.52/8.64 % (495184)Peak memory usage: 16 MB
% 57.52/8.64 % (495184)Instructions burned: 4386 (million)
% 57.52/8.64 % (495308)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3401605584:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2925 on theBenchmark for (2925ds/280Mi)
% 57.52/8.64 % (495309)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=1611427369:s2a=on:i=3166:bd=preordered:rtra=on_2925 on theBenchmark for (2925ds/3166Mi)
% 57.52/8.64 % (495296)Instruction limit reached!
% 57.52/8.64 % (495296)------------------------------
% 57.52/8.64 % (495296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495296)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495296)Termination reason: Instruction limit
% 57.52/8.64 % (495296)Termination phase: Saturation
% 57.52/8.64 % (495296)Time elapsed: 0.751 s
% 57.52/8.64 % (495296)Peak memory usage: 13 MB
% 57.52/8.64 % (495296)Instructions burned: 2296 (million)
% 57.52/8.64 % (495312)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 57.52/8.64 % (495312)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=3396558146:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2925 on theBenchmark for (2925ds/4201Mi)
% 57.52/8.64 % (495312)Refutation not found, incomplete strategy
% 57.52/8.64 % (495312)------------------------------
% 57.52/8.64 % (495312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495312)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495312)Termination reason: Refutation not found, incomplete strategy
% 57.52/8.64 % (495312)Time elapsed: 0.002 s
% 57.52/8.64 % (495312)Peak memory usage: 12 MB
% 57.52/8.64 % (495312)Instructions burned: 3 (million)
% 57.52/8.64 % (495312)------------------------------
% 57.52/8.64 % (495312)------------------------------
% 57.52/8.64 % (495314)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3975755959:i=2352:rtra=on:ixr=off_2924 on theBenchmark for (2924ds/2352Mi)
% 57.52/8.64 % (495308)Instruction limit reached!
% 57.52/8.64 % (495308)------------------------------
% 57.52/8.64 % (495308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495308)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495308)Termination reason: Instruction limit
% 57.52/8.64 % (495308)Termination phase: Saturation
% 57.52/8.64 % (495308)Time elapsed: 0.229 s
% 57.52/8.64 % (495308)Peak memory usage: 12 MB
% 57.52/8.64 % (495308)Instructions burned: 281 (million)
% 57.52/8.64 % (495316)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 57.52/8.64 % (495316)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=805181909:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2923 on theBenchmark for (2923ds/452Mi)
% 57.52/8.64 % (495316)Refutation not found, incomplete strategy
% 57.52/8.64 % (495316)------------------------------
% 57.52/8.64 % (495316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495316)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495316)Termination reason: Refutation not found, incomplete strategy
% 57.52/8.64 % (495316)Time elapsed: 0.002 s
% 57.52/8.64 % (495316)Peak memory usage: 11 MB
% 57.52/8.64 % (495316)Instructions burned: 1 (million)
% 57.52/8.64 % (495316)------------------------------
% 57.52/8.64 % (495316)------------------------------
% 57.52/8.64 % (495318)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 57.52/8.64 % (495318)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 57.52/8.64 % (495318)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=1990343953:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2922 on theBenchmark for (2922ds/483Mi)
% 57.52/8.64 % (495318)Refutation not found, incomplete strategy
% 57.52/8.64 % (495318)------------------------------
% 57.52/8.64 % (495318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495318)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495318)Termination reason: Refutation not found, incomplete strategy
% 57.52/8.64 % (495318)Time elapsed: 0.001 s
% 57.52/8.64 % (495318)Peak memory usage: 12 MB
% 57.52/8.64 % (495318)Instructions burned: 1 (million)
% 57.52/8.64 % (495318)------------------------------
% 57.52/8.64 % (495318)------------------------------
% 57.52/8.64 % (495304)Instruction limit reached!
% 57.52/8.64 % (495304)------------------------------
% 57.52/8.64 % (495304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495304)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495304)Termination reason: Instruction limit
% 57.52/8.64 % (495304)Termination phase: Saturation
% 57.52/8.64 % (495304)Time elapsed: 0.422 s
% 57.52/8.64 % (495304)Peak memory usage: 11 MB
% 57.52/8.64 % (495304)Instructions burned: 557 (million)
% 57.52/8.64 % (495320)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=399837693:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2922 on theBenchmark for (2922ds/168Mi)
% 57.52/8.64 % (495327)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=95529481:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2922 on theBenchmark for (2922ds/17240Mi)
% 57.52/8.64 % (495320)Instruction limit reached!
% 57.52/8.64 % (495320)------------------------------
% 57.52/8.64 % (495320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495320)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495320)Termination reason: Instruction limit
% 57.52/8.64 % (495320)Termination phase: Saturation
% 57.52/8.64 % (495320)Time elapsed: 0.077 s
% 57.52/8.64 % (495320)Peak memory usage: 12 MB
% 57.52/8.64 % (495320)Instructions burned: 169 (million)
% 57.52/8.64 % (495340)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=885501501:i=2022:fsr=off:rtra=on:ixr=off_2921 on theBenchmark for (2921ds/2022Mi)
% 57.52/8.64 % (495314)Instruction limit reached!
% 57.52/8.64 % (495314)------------------------------
% 57.52/8.64 % (495314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.52/8.64 % (495314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.52/8.64 % (495314)CaDiCaL version: 2.1.3
% 57.52/8.64 % (495314)Termination reason: Instruction limit
% 57.52/8.64 % (495314)Termination phase: Saturation
% 57.52/8.64 % (495314)Time elapsed: 0.553 s
% 57.52/8.64 % (495314)Peak memory usage: 13 MB
% 57.52/8.64 % (495314)Instructions burned: 2353 (million)
% 57.52/8.64 % (495412)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=1047311603:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2919 on theBenchmark for (2919ds/2274Mi)
% 57.52/8.64 % (495149) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-494829-495149"...
% 57.52/8.64 % (495149)...printing done.
% 57.52/8.64 % (495149)Refutation found. Thanks to Tanya!
% 57.52/8.64 % SZS status Unsatisfiable for theBenchmark
% 57.52/8.64 % SZS output start Proof for theBenchmark
% See solution above
% 58.84/8.74 % (495149)------------------------------
% 58.84/8.74 % (495149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.84/8.74 % (495149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.84/8.74 % (495149)CaDiCaL version: 2.1.3
% 58.84/8.74 % (495149)Termination reason: Refutation
% 58.84/8.74 % (495149)Time elapsed: 4.753 s
% 58.84/8.74 % (495149)Peak memory usage: 23 MB
% 58.84/8.74 % (495149)Instructions burned: 5880 (million)
% 58.84/8.74 % (494829)Success in time 8.359 s
% 58.84/8.74 % Vampire exiting
%------------------------------------------------------------------------------