%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA092^1 : 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 : n016.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 07:51:51 AM UTC 2026
% Result : Unsatisfiable 135.10s 19.44s
% Output : Refutation 135.43s
% 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,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $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,
vIMP: $o > $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,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f8,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X1 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f13,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X3 @ X0 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f8]) ).
thf(f19,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X1: $i,X0: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f23,plain,
( ( ( surj @ sK0 )
!= $true )
& ( ( inj @ sK0 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f24,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f25,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f28,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f33,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f29,f25]) ).
thf(f34,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f28,f30]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f42,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( ( X2 = X1 )
= $true ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f27,f40]) ).
thf(f50,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f40]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f27,f48]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f27]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f57,f27]) ).
thf(f59,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f60,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f57,f50]) ).
thf(f62,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f65,definition,
( spl2_1
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( r @ X2 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f66,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ sK1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f65]) ).
thf(f68,definition,
( spl2_2
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f69,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f68]) ).
thf(f83,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f84,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f85,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f87,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f57,f51]) ).
thf(f88,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X3 @ ( sK0 @ X0 ) ) )
| ( ( r @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( X0 = X1 )
| ( ( r @ X3 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f51]) ).
thf(f89,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ ( sK0 @ X0 ) ) )
| ( ( r @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f90,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f92,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f24,f83]) ).
thf(f93,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f98,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f93,f83]) ).
thf(f99,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f98]) ).
thf(f100,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f102,definition,
( spl2_5
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f105,definition,
( spl2_6
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f106,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f107,plain,
( spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f100,f105,f102]) ).
thf(f109,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f26,f84]) ).
thf(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f113,definition,
( spl2_7
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f114,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f116,definition,
( spl2_8
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f117,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f118,plain,
( spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f110,f116,f113]) ).
thf(f126,definition,
( spl2_9
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f127,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_9 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f143,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( ( r @ X1 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f55,f40]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X2 = X3 )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f55,f27]) ).
thf(f147,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X1 = X2 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f49]) ).
thf(f148,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X2 = X3 )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ ( sK0 @ X1 ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f51]) ).
thf(f150,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( r @ sK1 @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f55,f50]) ).
thf(f152,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f153,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f154,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f147]) ).
thf(f155,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X1 ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f156,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( ( r @ X2 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
= $true )
| ( $true != $true )
| ( X1 = X3 ) ),
inference(constrained_superposition,[],[f152,f27]) ).
thf(f157,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X2 )
| ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f152,f49]) ).
thf(f160,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X2 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f152,f50]) ).
thf(f161,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ X0 )
= X2 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f163,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( b @ X2 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f164,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X2 )
| ( ( b @ sK1 @ X2 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f167,definition,
( spl2_11
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f168,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f170,definition,
( spl2_12
<=> ! [X2: $i] :
( ( sK1 = X2 )
| ( ( b @ sK1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f171,plain,
( ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f170]) ).
thf(f172,plain,
( spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f164,f170,f167]) ).
thf(f193,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f85,f40]) ).
thf(f194,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f85,f40]) ).
thf(f195,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f85,f48]) ).
thf(f205,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X3 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ X3 ) )
| ( $true
= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( X1 = X3 )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f163,f27]) ).
thf(f206,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
= $true )
| ( sK1 = X2 )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X2 )
| ( sK1 = X1 ) ),
inference(constrained_superposition,[],[f163,f49]) ).
thf(f213,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X2 )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( $true
= ( b @ X2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f215,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X3 @ X1 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X3 )
| ( X1 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X3 )
| ( $true
= ( b @ X0 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f205]) ).
thf(f218,definition,
( spl2_13
<=> ! [X2: $i,X0: $i] :
( ( ( sK0 @ X0 )
= X2 )
| ( $true
= ( b @ X2 @ sK1 ) )
| ( sK1 = X2 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f219,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ X2 @ sK1 ) )
| ( ( sK0 @ X0 )
= X2 )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
= $true )
| ( sK1 = X2 ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f220,plain,
( spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f213,f218,f170]) ).
thf(f237,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f154,f40]) ).
thf(f245,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f154,f27]) ).
thf(f251,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( sK0 @ X0 )
= X1 ) ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f280,definition,
( spl2_14
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f281,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f283,definition,
( spl2_15
<=> ! [X2: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f284,plain,
( ! [X2: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X2 ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f288,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f117,f51]) ).
thf(f291,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f291,f49]) ).
thf(f305,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f299]) ).
thf(f309,definition,
( spl2_16
<=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f310,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_16 ),
inference(avatar_component_clause,[],[f309]) ).
thf(f312,definition,
( spl2_17
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f313,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f312]) ).
thf(f314,plain,
( ~ spl2_16
| spl2_17
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f305,f116,f312,f309]) ).
thf(f355,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f57,f193]) ).
thf(f362,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f193]) ).
thf(f363,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f362]) ).
thf(f368,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f355]) ).
thf(f374,definition,
( spl2_18
<=> ! [X2: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f375,plain,
( ! [X2: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f374]) ).
thf(f382,definition,
( spl2_20
<=> ! [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 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f383,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 ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f382]) ).
thf(f385,definition,
( spl2_21
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f386,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f385]) ).
thf(f387,plain,
( spl2_20
| spl2_21 ),
inference(avatar_split_clause,[],[f368,f385,f382]) ).
thf(f389,definition,
( spl2_22
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f390,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f389]) ).
thf(f392,definition,
( spl2_23
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f393,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f392]) ).
thf(f399,definition,
( spl2_25
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f400,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(avatar_component_clause,[],[f399]) ).
thf(f402,definition,
( spl2_26
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f403,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f402]) ).
thf(f411,definition,
( spl2_28
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f412,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_28 ),
inference(avatar_component_clause,[],[f411]) ).
thf(f419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f24,f114]) ).
thf(f420,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f419]) ).
thf(f459,definition,
( spl2_30
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f460,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f459]) ).
thf(f462,definition,
( spl2_31
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f463,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_31 ),
inference(avatar_component_clause,[],[f462]) ).
thf(f466,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(constrained_superposition,[],[f400,f50]) ).
thf(f469,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f466]) ).
thf(f500,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_21 ),
inference(avatar_component_clause,[],[f385]) ).
thf(f505,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f411]) ).
thf(f507,definition,
( spl2_32
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f508,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f507]) ).
thf(f515,definition,
( spl2_34
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f516,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f515]) ).
thf(f526,definition,
( spl2_37
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f527,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f526]) ).
thf(f539,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f26,f194]) ).
thf(f546,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f539]) ).
thf(f552,definition,
( spl2_39
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f553,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f555,definition,
( spl2_40
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f556,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f557,plain,
( spl2_39
| spl2_40 ),
inference(avatar_split_clause,[],[f546,f555,f552]) ).
thf(f559,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_14
| ~ spl2_21 ),
inference(constrained_superposition,[],[f281,f386]) ).
thf(f565,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_14
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f559]) ).
thf(f571,definition,
( spl2_41
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f572,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f571]) ).
thf(f573,plain,
( spl2_41
| spl2_22
| ~ spl2_14
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f565,f385,f280,f389,f571]) ).
thf(f579,definition,
( spl2_43
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f580,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_43 ),
inference(avatar_component_clause,[],[f579]) ).
thf(f590,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f143,f65,f68]) ).
thf(f591,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_12
| spl2_43 ),
inference(constrained_superposition,[],[f580,f171]) ).
thf(f594,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_12
| spl2_43 ),
inference(trivial_inequality_removal,[],[f591]) ).
thf(f595,plain,
( $false
| ~ spl2_12
| spl2_43 ),
inference(forward_subsumption_resolution,[],[f594,f40]) ).
thf(f596,plain,
( ~ spl2_12
| spl2_43 ),
inference(avatar_contradiction_clause,[],[f595]) ).
thf(f608,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f26,f505]) ).
thf(f614,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f608]) ).
thf(f624,plain,
( spl2_40
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f614,f411,f555]) ).
thf(f625,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_28 ),
inference(constrained_superposition,[],[f412,f51]) ).
thf(f628,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_28 ),
inference(trivial_inequality_removal,[],[f625]) ).
thf(f630,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f628,f40]) ).
thf(f631,plain,
( spl2_23
| spl2_28 ),
inference(avatar_split_clause,[],[f630,f411,f392]) ).
thf(f638,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X1 ) )
!= $true ) ),
inference(extensionality_resolution,[],[f153,f40]) ).
thf(f644,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f153,f193]) ).
thf(f646,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f153,f27]) ).
thf(f648,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f644]) ).
thf(f651,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f646]) ).
thf(f654,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_39 ),
inference(constrained_superposition,[],[f420,f553]) ).
thf(f659,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f654]) ).
thf(f661,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f659,f114]) ).
thf(f662,plain,
( spl2_37
| ~ spl2_7
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f661,f552,f113,f526]) ).
thf(f673,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f27]) ).
thf(f674,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f675,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f674]) ).
thf(f676,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f673]) ).
thf(f686,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f675,f85]) ).
thf(f689,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f675,f27]) ).
thf(f690,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f689]) ).
thf(f695,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f686]) ).
thf(f700,definition,
( spl2_49
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f701,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_49 ),
inference(avatar_component_clause,[],[f700]) ).
thf(f703,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_49 ),
inference(constrained_superposition,[],[f701,f49]) ).
thf(f705,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_49 ),
inference(trivial_inequality_removal,[],[f703]) ).
thf(f760,definition,
( spl2_50
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f761,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_50 ),
inference(avatar_component_clause,[],[f760]) ).
thf(f764,definition,
( spl2_51
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f765,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_51 ),
inference(avatar_component_clause,[],[f764]) ).
thf(f767,definition,
( spl2_52
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).
thf(f768,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f767]) ).
thf(f778,plain,
( spl2_21
| spl2_49 ),
inference(avatar_split_clause,[],[f705,f700,f385]) ).
thf(f786,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f24,f386]) ).
thf(f788,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f786]) ).
thf(f816,definition,
( spl2_56
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f817,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f816]) ).
thf(f819,definition,
( spl2_57
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).
thf(f820,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_57 ),
inference(avatar_component_clause,[],[f819]) ).
thf(f824,definition,
( spl2_58
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f825,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f824]) ).
thf(f828,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_51 ),
inference(constrained_superposition,[],[f765,f27]) ).
thf(f830,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_51 ),
inference(trivial_inequality_removal,[],[f828]) ).
thf(f836,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_51 ),
inference(forward_subsumption_resolution,[],[f830,f40]) ).
thf(f837,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f839,definition,
( spl2_59
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f840,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f839]) ).
thf(f846,plain,
( spl2_9
| spl2_51 ),
inference(avatar_split_clause,[],[f836,f764,f126]) ).
thf(f847,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f24,f837]) ).
thf(f848,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f847]) ).
thf(f849,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_50 ),
inference(constrained_superposition,[],[f761,f84]) ).
thf(f853,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_50 ),
inference(trivial_inequality_removal,[],[f849]) ).
thf(f856,plain,
( spl2_57
| spl2_50 ),
inference(avatar_split_clause,[],[f853,f760,f819]) ).
thf(f864,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f93,f460]) ).
thf(f868,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f864]) ).
thf(f933,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_23 ),
inference(constrained_superposition,[],[f788,f393]) ).
thf(f937,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f933]) ).
thf(f942,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f937,f837]) ).
thf(f944,plain,
( spl2_37
| ~ spl2_9
| ~ spl2_21
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f942,f392,f385,f126,f526]) ).
thf(f948,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_25
| ~ spl2_37 ),
inference(constrained_superposition,[],[f527,f469]) ).
thf(f950,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_25
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f948]) ).
thf(f959,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f579]) ).
thf(f961,plain,
( ~ spl2_43
| spl2_25
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f950,f526,f399,f579]) ).
thf(f963,definition,
( spl2_67
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
thf(f964,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f963]) ).
thf(f965,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_23 ),
inference(avatar_component_clause,[],[f392]) ).
thf(f966,plain,
( spl2_67
| ~ spl2_23
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f868,f459,f392,f963]) ).
thf(f970,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f24,f959]) ).
thf(f971,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f970]) ).
thf(f1075,definition,
( spl2_68
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f1076,plain,
( ! [X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1075]) ).
thf(f1078,definition,
( spl2_69
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
thf(f1079,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f1078]) ).
thf(f1084,definition,
( spl2_70
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f1085,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f1084]) ).
thf(f1089,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_9 ),
inference(constrained_superposition,[],[f848,f114]) ).
thf(f1090,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f24,f114]) ).
thf(f1091,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f1089]) ).
thf(f1094,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f1090]) ).
thf(f1105,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f55,f505]) ).
thf(f1113,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( X0 = X1 ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f1105]) ).
thf(f1123,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_30
| ~ spl2_37 ),
inference(constrained_superposition,[],[f527,f460]) ).
thf(f1126,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_30
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f1123]) ).
thf(f1130,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_30
| ~ spl2_37 ),
inference(constrained_superposition,[],[f1126,f83]) ).
thf(f1133,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_30
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f1130]) ).
thf(f1141,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_30
| ~ spl2_37 ),
inference(constrained_superposition,[],[f154,f1133]) ).
thf(f1147,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_30
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f1141]) ).
thf(f1154,plain,
( spl2_15
| spl2_52
| ~ spl2_16
| ~ spl2_30
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f1147,f526,f459,f309,f767,f283]) ).
thf(f1161,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f817,f27]) ).
thf(f1162,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f817,f51]) ).
thf(f1167,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f1161]) ).
thf(f1168,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f1162]) ).
thf(f1182,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f556,f27]) ).
thf(f1183,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f556,f51]) ).
thf(f1185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f556,f85]) ).
thf(f1186,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f556,f193]) ).
thf(f1189,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1185]) ).
thf(f1190,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1182]) ).
thf(f1191,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1186]) ).
thf(f1193,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1183]) ).
thf(f1195,definition,
( spl2_73
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
thf(f1196,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f1195]) ).
thf(f1199,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1196,f51]) ).
thf(f1208,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f1199]) ).
thf(f1210,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f971,f83]) ).
thf(f1216,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1210]) ).
thf(f1253,definition,
( spl2_75
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f1254,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f1253]) ).
thf(f1291,definition,
( spl2_76
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f1292,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f1291]) ).
thf(f1293,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_69 ),
inference(avatar_component_clause,[],[f1078]) ).
thf(f1297,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_37 ),
inference(constrained_superposition,[],[f527,f171]) ).
thf(f1307,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f1297]) ).
thf(f1311,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_37
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1307,f959]) ).
thf(f1315,plain,
( $false
| ~ spl2_12
| ~ spl2_37
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1311,f40]) ).
thf(f1316,plain,
( ~ spl2_12
| ~ spl2_37
| ~ spl2_43 ),
inference(avatar_contradiction_clause,[],[f1315]) ).
thf(f1317,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(constrained_superposition,[],[f848,f284]) ).
thf(f1318,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f24,f284]) ).
thf(f1322,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1318]) ).
thf(f1323,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1317]) ).
thf(f1328,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1323,f83]) ).
thf(f1329,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43 ),
inference(constrained_superposition,[],[f1323,f959]) ).
thf(f1331,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1329]) ).
thf(f1333,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1328]) ).
thf(f1336,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1322,f284]) ).
thf(f1338,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1322,f114]) ).
thf(f1339,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1322,f837]) ).
thf(f1341,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1338]) ).
thf(f1342,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1336]) ).
thf(f1343,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1339]) ).
thf(f1345,definition,
( spl2_77
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f1346,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f1345]) ).
thf(f1348,definition,
( spl2_78
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f1349,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f1348]) ).
thf(f1350,plain,
( spl2_77
| spl2_78
| ~ spl2_9
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f1343,f283,f126,f1348,f1345]) ).
thf(f1368,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_21 ),
inference(constrained_superposition,[],[f788,f375]) ).
thf(f1371,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_18
| spl2_23 ),
inference(constrained_superposition,[],[f965,f375]) ).
thf(f1379,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_18
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f1368]) ).
thf(f1380,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_18
| spl2_23 ),
inference(trivial_inequality_removal,[],[f1371]) ).
thf(f1386,plain,
( spl2_22
| ~ spl2_18
| spl2_23 ),
inference(avatar_split_clause,[],[f1380,f392,f374,f389]) ).
thf(f1388,definition,
( spl2_80
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).
thf(f1389,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f1388]) ).
thf(f1395,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_30 ),
inference(constrained_superposition,[],[f460,f390]) ).
thf(f1406,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f83,f390]) ).
thf(f1459,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_6
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f1406,f106]) ).
thf(f1470,plain,
( $false
| ~ spl2_22
| ~ spl2_30
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f1395,f1126]) ).
thf(f1471,plain,
( ~ spl2_22
| ~ spl2_30
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
thf(f1473,definition,
( spl2_81
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f1474,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f1473]) ).
thf(f1476,definition,
( spl2_82
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f1477,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f1476]) ).
thf(f1479,plain,
( spl2_82
| spl2_6
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f1459,f389,f105,f1476]) ).
thf(f1481,plain,
( spl2_20
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f1191,f555,f382]) ).
thf(f1482,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_23 ),
inference(constrained_superposition,[],[f1323,f393]) ).
thf(f1486,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f24,f393]) ).
thf(f1490,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f1486]) ).
thf(f1491,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f1482]) ).
thf(f1492,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_70 ),
inference(avatar_component_clause,[],[f1084]) ).
thf(f1494,plain,
( spl2_80
| ~ spl2_9
| ~ spl2_15
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f1491,f392,f283,f126,f1388]) ).
thf(f1508,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_18
| ~ spl2_21 ),
inference(constrained_superposition,[],[f1379,f114]) ).
thf(f1509,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_18
| ~ spl2_21 ),
inference(constrained_superposition,[],[f1379,f284]) ).
thf(f1512,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_15
| ~ spl2_18
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f1509]) ).
thf(f1513,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_7
| ~ spl2_18
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f1508]) ).
thf(f1515,definition,
( spl2_83
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).
thf(f1516,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f1515]) ).
thf(f1517,plain,
( spl2_83
| spl2_22
| ~ spl2_15
| ~ spl2_18
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f1512,f385,f374,f283,f389,f1515]) ).
thf(f1518,plain,
( spl2_83
| ~ spl2_7
| ~ spl2_18
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f1513,f385,f374,f113,f1515]) ).
thf(f1519,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_15
| ~ spl2_83 ),
inference(constrained_superposition,[],[f1516,f284]) ).
thf(f1525,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_15
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f1519]) ).
thf(f1546,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_23 ),
inference(constrained_superposition,[],[f1490,f375]) ).
thf(f1550,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_23 ),
inference(constrained_superposition,[],[f1490,f386]) ).
thf(f1552,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f1546]) ).
thf(f1554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f1550]) ).
thf(f1556,plain,
( spl2_32
| ~ spl2_18
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f1552,f392,f374,f507]) ).
thf(f1557,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_23
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1554,f959]) ).
thf(f1558,plain,
( spl2_34
| ~ spl2_21
| ~ spl2_23
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f1557,f579,f392,f385,f515]) ).
thf(f1560,definition,
( spl2_85
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f1561,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f1560]) ).
thf(f1562,plain,
( spl2_85
| ~ spl2_25
| spl2_18 ),
inference(avatar_split_clause,[],[f648,f374,f399,f1560]) ).
thf(f1565,definition,
( spl2_86
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f1566,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f1565]) ).
thf(f1590,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f676,f27]) ).
thf(f1593,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1590]) ).
thf(f1595,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( sK0 @ X1 )
= sK1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f1593,f51]) ).
thf(f1597,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f1593,f85]) ).
thf(f1605,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1595]) ).
thf(f1607,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1597]) ).
thf(f1608,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f1605,f40]) ).
thf(f1609,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f1607,f40]) ).
thf(f1610,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f1608,f40]) ).
thf(f1611,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f1609,f40]) ).
thf(f1761,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1208,f50]) ).
thf(f1764,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f1761]) ).
thf(f1770,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_15
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1341,f1764]) ).
thf(f1779,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_15
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f1770]) ).
thf(f1781,definition,
( spl2_91
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
thf(f1782,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f1781]) ).
thf(f1783,plain,
( spl2_22
| spl2_91
| ~ spl2_7
| ~ spl2_15
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f1779,f1195,f283,f113,f1781,f389]) ).
thf(f1807,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f1168,f51]) ).
thf(f1810,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f1807]) ).
thf(f1898,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f168,f49]) ).
thf(f1899,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f1898]) ).
thf(f1901,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ ( sK0 @ X1 ) @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f690,f27]) ).
thf(f1904,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ X0 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1901]) ).
thf(f1905,plain,
( spl2_13
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f1904,f65,f218]) ).
thf(f1906,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_28 ),
inference(extensionality_resolution,[],[f1113,f48]) ).
thf(f1932,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_37
| ~ spl2_56 ),
inference(constrained_superposition,[],[f527,f1810]) ).
thf(f1939,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_37
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f1932]) ).
thf(f2006,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1342,f83]) ).
thf(f2010,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f2006]) ).
thf(f2053,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(constrained_superposition,[],[f527,f403]) ).
thf(f2054,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_26 ),
inference(constrained_superposition,[],[f1094,f403]) ).
thf(f2057,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f24,f403]) ).
thf(f2058,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f2054]) ).
thf(f2059,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f2057]) ).
thf(f2061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2053]) ).
thf(f2063,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f2058,f1091]) ).
thf(f2065,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f2063,f114]) ).
thf(f2067,definition,
( spl2_93
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f2068,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f2067]) ).
thf(f2070,plain,
( spl2_93
| ~ spl2_7
| ~ spl2_9
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f2065,f402,f126,f113,f2067]) ).
thf(f2077,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(constrained_superposition,[],[f2061,f83]) ).
thf(f2080,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2077]) ).
thf(f2107,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true != $true ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(constrained_superposition,[],[f154,f2080]) ).
thf(f2125,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(duplicate_literal_removal,[],[f2107]) ).
thf(f2126,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_26
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2125]) ).
thf(f2137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(constrained_superposition,[],[f527,f1561]) ).
thf(f2142,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f24,f1561]) ).
thf(f2143,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2137]) ).
thf(f2144,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2142]) ).
thf(f2149,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2143,f83]) ).
thf(f2151,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2149]) ).
thf(f2196,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(constrained_superposition,[],[f26,f2151]) ).
thf(f2202,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2196]) ).
thf(f2214,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2202,f50]) ).
thf(f2220,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(duplicate_literal_removal,[],[f2214]) ).
thf(f2221,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2220]) ).
thf(f2285,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2221,f194]) ).
thf(f2290,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2285]) ).
thf(f2294,plain,
( ~ spl2_25
| spl2_75
| ~ spl2_37
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f2290,f1560,f526,f1253,f399]) ).
thf(f2338,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_75 ),
inference(constrained_superposition,[],[f788,f1254]) ).
thf(f2348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_21
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f2338]) ).
thf(f2566,definition,
( spl2_97
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).
thf(f2567,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f2566]) ).
thf(f2619,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) ),
inference(constrained_superposition,[],[f62,f27]) ).
thf(f2620,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f62,f51]) ).
thf(f2635,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f2620]) ).
thf(f2641,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f2619]) ).
thf(f2763,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f1190,f50]) ).
thf(f2768,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f2763]) ).
thf(f3248,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ X2 )
= $true )
| ( X0 = X2 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f251,f27]) ).
thf(f3250,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( X0 = X2 )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f3248]) ).
thf(f3252,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X2 )
= X0 )
| ( ( b @ ( sK0 @ X2 ) @ X0 )
= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f651,f27]) ).
thf(f3253,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( ( b @ ( sK0 @ X2 ) @ X0 )
= $true )
| ( ( sK0 @ X2 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f3252]) ).
thf(f3260,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f1193,f50]) ).
thf(f3264,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f3260]) ).
thf(f3267,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_40
| spl2_70 ),
inference(forward_subsumption_resolution,[],[f3264,f1492]) ).
thf(f3268,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_40
| spl2_70 ),
inference(constrained_superposition,[],[f3267,f49]) ).
thf(f3271,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_40
| spl2_70 ),
inference(trivial_inequality_removal,[],[f3268]) ).
thf(f3273,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_40
| spl2_70 ),
inference(constrained_superposition,[],[f527,f3271]) ).
thf(f3291,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_37
| ~ spl2_40
| spl2_70 ),
inference(trivial_inequality_removal,[],[f3273]) ).
thf(f3298,definition,
( spl2_98
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).
thf(f3299,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_98 ),
inference(avatar_component_clause,[],[f3298]) ).
thf(f3349,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_40
| spl2_70 ),
inference(constrained_superposition,[],[f3291,f83]) ).
thf(f3356,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_37
| ~ spl2_40
| spl2_70 ),
inference(trivial_inequality_removal,[],[f3349]) ).
thf(f3367,plain,
( spl2_98
| ~ spl2_37
| ~ spl2_40
| spl2_70 ),
inference(avatar_split_clause,[],[f3356,f1084,f555,f526,f3298]) ).
thf(f3406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f154,f3299]) ).
thf(f3420,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_98 ),
inference(duplicate_literal_removal,[],[f3406]) ).
thf(f3421,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f3420]) ).
thf(f3434,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f1906,f505]) ).
thf(f3437,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f3434]) ).
thf(f3443,definition,
( spl2_100
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f3444,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f3443]) ).
thf(f3445,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_82 ),
inference(avatar_component_clause,[],[f1476]) ).
thf(f3446,plain,
( spl2_100
| ~ spl2_82
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f3437,f411,f1476,f3443]) ).
thf(f3527,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ X1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ X1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(extensionality_resolution,[],[f89,f40]) ).
thf(f3528,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X2 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(extensionality_resolution,[],[f89,f40]) ).
thf(f3533,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X2 ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f89,f193]) ).
thf(f3542,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X2 ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f89,f50]) ).
thf(f3543,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( X0 = X2 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X2 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f3542]) ).
thf(f3550,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X2 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f3533]) ).
thf(f3578,definition,
( spl2_106
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f3579,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f3578]) ).
thf(f3589,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f3527,f193]) ).
thf(f3594,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f3589]) ).
thf(f3599,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_23 ),
inference(forward_subsumption_resolution,[],[f3594,f965]) ).
thf(f3626,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_83
| ~ spl2_100 ),
inference(constrained_superposition,[],[f1516,f3444]) ).
thf(f3627,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_15
| ~ spl2_100 ),
inference(constrained_superposition,[],[f1322,f3444]) ).
thf(f3628,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(constrained_superposition,[],[f848,f3444]) ).
thf(f3629,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f24,f3444]) ).
thf(f3630,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3628]) ).
thf(f3631,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_15
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3627]) ).
thf(f3635,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_83
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3626]) ).
thf(f3641,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3629]) ).
thf(f3698,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_15
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3641,f284]) ).
thf(f3700,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3641,f114]) ).
thf(f3701,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
!= $true ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3641,f3444]) ).
thf(f3712,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3641,f837]) ).
thf(f3722,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
!= $true ) )
| ~ spl2_15
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3698]) ).
thf(f3723,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3712]) ).
thf(f3734,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3701]) ).
thf(f3740,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3700]) ).
thf(f3742,definition,
( spl2_108
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_108])],[avatar_definition]) ).
thf(f3743,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f3742]) ).
thf(f3744,plain,
( spl2_108
| spl2_77
| ~ spl2_9
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f3723,f3443,f126,f1345,f3742]) ).
thf(f3761,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ X1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_11
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3740,f1899]) ).
thf(f3762,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3740,f1610]) ).
thf(f3775,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_11
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3761]) ).
thf(f3792,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3762]) ).
thf(f3797,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f3775,f1091]) ).
thf(f3801,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f3792,f1091]) ).
thf(f3900,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X1 ) )
!= $true ) )
| ~ spl2_15
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3722,f83]) ).
thf(f3909,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_15
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f3900]) ).
thf(f4193,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_15
| ~ spl2_86
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3631,f1566]) ).
thf(f4224,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_15
| ~ spl2_86
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f4193]) ).
thf(f4278,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_86
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3734,f1566]) ).
thf(f4301,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_86
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f4278]) ).
thf(f4995,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f3543,f40]) ).
thf(f5000,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f3543,f193]) ).
thf(f5022,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f5000]) ).
thf(f5026,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f2641,f27]) ).
thf(f5028,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) ),
inference(trivial_inequality_removal,[],[f5026]) ).
thf(f5306,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X1 ) )
!= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f638,f51]) ).
thf(f5309,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f638,f193]) ).
thf(f5326,plain,
! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f5309]) ).
thf(f5337,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ X1 ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f5306]) ).
thf(f5510,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X2 )
| ( ( b @ sK1 @ X2 )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( sK1 = X2 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( X2 = X3 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f1094,f3253]) ).
thf(f5529,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X0 )
| ( X1 = X2 ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3630,f3253]) ).
thf(f5546,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( X1 = X2 )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f5529]) ).
thf(f5552,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X2 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X2 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
= $true )
| ( X2 = X3 )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f5510]) ).
thf(f5574,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X0 )
| ( X1 = X2 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_9
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f5546,f3250]) ).
thf(f5577,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X2 @ X3 )
= $true )
| ( sK1 = X2 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X2 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
= $true )
| ( ( b @ sK1 @ X2 )
= $true )
| ( X2 = X3 ) )
| ~ spl2_7
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f5552,f837]) ).
thf(f5590,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( X1 = X2 )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_9
| ~ spl2_43
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f5574,f959]) ).
thf(f5592,definition,
( spl2_111
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( ( b @ sK1 @ X2 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X2 )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f5593,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
= $true )
| ( X2 = X3 )
| ( ( b @ X2 @ X3 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X2 )
| ( sK1 = X2 )
| ( ( b @ sK1 @ X2 )
= $true ) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f5592]) ).
thf(f5594,plain,
( spl2_111
| spl2_77
| ~ spl2_7
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f5577,f126,f113,f1345,f5592]) ).
thf(f5960,definition,
( spl2_114
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f5961,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f5960]) ).
thf(f5962,plain,
( spl2_114
| spl2_70
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f2768,f555,f1084,f5960]) ).
thf(f5964,definition,
( spl2_115
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).
thf(f5965,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f5964]) ).
thf(f5966,plain,
( spl2_115
| spl2_70
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f3264,f555,f1084,f5964]) ).
thf(f5974,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_86
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f4224,f3630]) ).
thf(f5982,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_86
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f4301,f3630]) ).
thf(f5997,definition,
( spl2_120
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f5998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f5997]) ).
thf(f6004,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_86
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f5974,f40]) ).
thf(f6008,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_86
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f5982,f40]) ).
thf(f6010,plain,
( spl2_22
| spl2_120
| ~ spl2_9
| ~ spl2_15
| ~ spl2_86
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f6004,f3443,f1565,f283,f126,f5997,f389]) ).
thf(f6014,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_9
| ~ spl2_86
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f6008,f40]) ).
thf(f6015,plain,
( spl2_120
| ~ spl2_9
| ~ spl2_86
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f6014,f3443,f1565,f126,f5997]) ).
thf(f6017,definition,
( spl2_122
<=> ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f6018,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f6017]) ).
thf(f6020,definition,
( spl2_123
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f6021,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f6020]) ).
thf(f6022,plain,
( spl2_122
| spl2_123
| spl2_70 ),
inference(avatar_split_clause,[],[f5022,f1084,f6020,f6017]) ).
thf(f6024,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_108 ),
inference(constrained_superposition,[],[f3743,f1085]) ).
thf(f6025,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_70 ),
inference(constrained_superposition,[],[f527,f1085]) ).
thf(f6026,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_7
| ~ spl2_70 ),
inference(constrained_superposition,[],[f1094,f1085]) ).
thf(f6030,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_70
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3630,f1085]) ).
thf(f6033,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_70
| ~ spl2_78 ),
inference(constrained_superposition,[],[f1349,f1085]) ).
thf(f6034,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43
| ~ spl2_70 ),
inference(constrained_superposition,[],[f1331,f1085]) ).
thf(f6036,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f6025]) ).
thf(f6042,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f6024]) ).
thf(f6044,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f6033]) ).
thf(f6045,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f6034]) ).
thf(f6050,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_9
| ~ spl2_70
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f6030]) ).
thf(f6051,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f6026]) ).
thf(f6052,plain,
( $false
| ~ spl2_37
| ~ spl2_43
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f6036,f959]) ).
thf(f6053,plain,
( ~ spl2_37
| ~ spl2_43
| ~ spl2_70 ),
inference(avatar_contradiction_clause,[],[f6052]) ).
thf(f6057,plain,
( $false
| ~ spl2_70
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f6042,f40]) ).
thf(f6058,plain,
( ~ spl2_70
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f6057]) ).
thf(f6059,plain,
( spl2_22
| ~ spl2_70
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f6044,f1348,f1084,f389]) ).
thf(f6060,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_43
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f6045,f386]) ).
thf(f6063,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_21
| ~ spl2_70
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f6050,f386]) ).
thf(f6064,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f6051,f837]) ).
thf(f6067,plain,
( spl2_22
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_43
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f6060,f1084,f579,f385,f283,f126,f389]) ).
thf(f6068,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_21
| ~ spl2_70
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f6063,f40]) ).
thf(f6069,plain,
( spl2_77
| ~ spl2_7
| ~ spl2_9
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f6064,f1084,f126,f113,f1345]) ).
thf(f6070,plain,
( $false
| ~ spl2_9
| ~ spl2_21
| ~ spl2_43
| ~ spl2_70
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f6068,f959]) ).
thf(f6071,plain,
( ~ spl2_9
| ~ spl2_21
| ~ spl2_43
| ~ spl2_70
| ~ spl2_100 ),
inference(avatar_contradiction_clause,[],[f6070]) ).
thf(f6077,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1196,f51]) ).
thf(f6079,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1196,f85]) ).
thf(f6080,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1196,f193]) ).
thf(f6083,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f6077]) ).
thf(f6084,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f6079]) ).
thf(f6086,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f6080]) ).
thf(f6088,plain,
( spl2_122
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f6086,f1195,f6017]) ).
thf(f6168,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f6018,f50]) ).
thf(f6171,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f6168]) ).
thf(f6173,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f5961,f49]) ).
thf(f6174,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f6173]) ).
thf(f6280,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_115 ),
inference(constrained_superposition,[],[f5965,f49]) ).
thf(f6282,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f6280]) ).
thf(f6285,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f6083,f50]) ).
thf(f6288,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f6285]) ).
thf(f6293,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_7
| ~ spl2_115 ),
inference(constrained_superposition,[],[f1094,f6282]) ).
thf(f6310,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_7
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f6293]) ).
thf(f6334,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f6310,f848]) ).
thf(f6357,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115 ),
inference(constrained_superposition,[],[f6334,f284]) ).
thf(f6367,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f6357]) ).
thf(f6566,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_75
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5998,f1254]) ).
thf(f6617,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_75
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f6566]) ).
thf(f6627,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f6084,f50]) ).
thf(f6629,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f6627]) ).
thf(f6643,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1333,f6629]) ).
thf(f6652,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f6643]) ).
thf(f6674,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f6652,f386]) ).
thf(f6682,definition,
( spl2_133
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f6683,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f6682]) ).
thf(f6684,plain,
( spl2_22
| spl2_133
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f6674,f1195,f385,f283,f126,f6682,f389]) ).
thf(f6756,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_100
| ~ spl2_114 ),
inference(constrained_superposition,[],[f3630,f6174]) ).
thf(f6790,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_100
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f6756]) ).
thf(f6794,definition,
( spl2_134
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f6795,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f6794]) ).
thf(f6803,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_21
| ~ spl2_100
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f6790,f386]) ).
thf(f6807,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_21
| ~ spl2_100
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f6803,f40]) ).
thf(f6808,plain,
( spl2_134
| ~ spl2_9
| ~ spl2_21
| ~ spl2_100
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f6807,f5960,f3443,f385,f126,f6794]) ).
thf(f7766,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_21 ),
inference(constrained_superposition,[],[f2010,f386]) ).
thf(f7815,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_15
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f7766]) ).
thf(f8130,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f155,f49]) ).
thf(f8157,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X2 ) ),
inference(trivial_inequality_removal,[],[f8130]) ).
thf(f8169,definition,
( spl2_139
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f8170,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f8169]) ).
thf(f8171,plain,
( spl2_12
| spl2_139 ),
inference(avatar_split_clause,[],[f8157,f8169,f170]) ).
thf(f8172,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true ) )
| ~ spl2_139 ),
inference(extensionality_resolution,[],[f8170,f48]) ).
thf(f8176,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f8170,f49]) ).
thf(f8179,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f8176]) ).
thf(f8184,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f161,f193]) ).
thf(f8196,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f8184]) ).
thf(f8231,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f8172,f49]) ).
thf(f8234,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f8231]) ).
thf(f8247,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f1189,f49]) ).
thf(f8260,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f8247]) ).
thf(f8267,definition,
( spl2_140
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f8268,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f8267]) ).
thf(f8269,plain,
( ~ spl2_25
| spl2_140
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f8260,f555,f8267,f399]) ).
thf(f8273,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_140 ),
inference(constrained_superposition,[],[f1094,f8268]) ).
thf(f8283,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_140 ),
inference(constrained_superposition,[],[f1333,f8268]) ).
thf(f8298,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f8273]) ).
thf(f8311,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f8283]) ).
thf(f8323,definition,
( spl2_142
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_142])],[avatar_definition]) ).
thf(f8324,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_142 ),
inference(avatar_component_clause,[],[f8323]) ).
thf(f8327,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f8298,f1091]) ).
thf(f8332,definition,
( spl2_144
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f8333,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f8332]) ).
thf(f8344,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f8311,f386]) ).
thf(f8351,definition,
( spl2_146
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f8352,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f8351]) ).
thf(f8355,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f8327,f114]) ).
thf(f8359,plain,
( spl2_22
| spl2_144
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f8344,f8267,f385,f283,f126,f8332,f389]) ).
thf(f8362,plain,
( spl2_146
| ~ spl2_7
| ~ spl2_9
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f8355,f8267,f126,f113,f8351]) ).
thf(f8421,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_142 ),
inference(constrained_superposition,[],[f8324,f83]) ).
thf(f8438,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f8421]) ).
thf(f8448,plain,
( spl2_144
| ~ spl2_142 ),
inference(avatar_split_clause,[],[f8438,f8323,f8332]) ).
thf(f8533,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( X0 = X1 ) )
| ~ spl2_1
| ~ spl2_7 ),
inference(constrained_superposition,[],[f1094,f1611]) ).
thf(f8593,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( X0 = X1 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f8533]) ).
thf(f8606,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f8593,f1091]) ).
thf(f8612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f8606,f114]) ).
thf(f8962,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1346,f83]) ).
thf(f8979,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f8962]) ).
thf(f8991,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_77 ),
inference(constrained_superposition,[],[f8979,f386]) ).
thf(f9005,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_21
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f8991]) ).
thf(f10722,definition,
( spl2_151
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f10723,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_151 ),
inference(avatar_component_clause,[],[f10722]) ).
thf(f10734,definition,
( spl2_153
<=> ! [X2: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X2 ) ) @ sK1 )
= $true )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f10735,plain,
( ! [X2: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X2 ) ) @ sK1 )
= $true )
| ( sK1 = X2 ) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f10734]) ).
thf(f10738,definition,
( spl2_154
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f10739,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f10738]) ).
thf(f10802,definition,
( spl2_161
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f10803,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f10802]) ).
thf(f10818,definition,
( spl2_163
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_163])],[avatar_definition]) ).
thf(f10819,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_163 ),
inference(avatar_component_clause,[],[f10818]) ).
thf(f10822,definition,
( spl2_164
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f10823,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f10822]) ).
thf(f10836,definition,
( spl2_166
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f10837,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f10836]) ).
thf(f10844,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_22 ),
inference(avatar_component_clause,[],[f389]) ).
thf(f10857,definition,
( spl2_169
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f10858,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f10857]) ).
thf(f10871,definition,
( spl2_171
<=> ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f10872,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f10871]) ).
thf(f10878,definition,
( spl2_172
<=> ! [X1: $i] :
( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f10879,plain,
( ! [X1: $i] :
( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f10878]) ).
thf(f10911,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_22 ),
inference(extensionality_resolution,[],[f1611,f10844]) ).
thf(f10912,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_22 ),
inference(extensionality_resolution,[],[f1611,f10844]) ).
thf(f10914,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_22
| ~ spl2_139 ),
inference(extensionality_resolution,[],[f8172,f10844]) ).
thf(f10915,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_1
| spl2_22 ),
inference(extensionality_resolution,[],[f695,f10844]) ).
thf(f10944,definition,
( spl2_175
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f10945,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f10944]) ).
thf(f10947,definition,
( spl2_176
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f10948,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f10947]) ).
thf(f10949,plain,
( ~ spl2_151
| spl2_175
| spl2_176
| ~ spl2_1
| spl2_22 ),
inference(avatar_split_clause,[],[f10915,f389,f65,f10947,f10944,f10722]) ).
thf(f10951,definition,
( spl2_177
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f10952,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_177 ),
inference(avatar_component_clause,[],[f10951]) ).
thf(f10955,definition,
( spl2_178
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f10956,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f10955]) ).
thf(f10957,plain,
( spl2_178
| spl2_175
| spl2_154
| ~ spl2_1
| spl2_22 ),
inference(avatar_split_clause,[],[f10912,f389,f65,f10738,f10944,f10955]) ).
thf(f10959,plain,
( spl2_178
| spl2_175
| ~ spl2_151
| spl2_22
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f10914,f8169,f389,f10722,f10944,f10955]) ).
thf(f10963,definition,
( spl2_179
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f10964,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f10963]) ).
thf(f10967,definition,
( spl2_180
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f10968,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f10967]) ).
thf(f10970,plain,
( spl2_176
| spl2_154
| spl2_175
| ~ spl2_1
| spl2_22 ),
inference(avatar_split_clause,[],[f10911,f389,f65,f10944,f10738,f10947]) ).
thf(f10976,definition,
( spl2_182
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f10977,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_182 ),
inference(avatar_component_clause,[],[f10976]) ).
thf(f10990,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_100
| ~ spl2_176 ),
inference(constrained_superposition,[],[f3801,f10948]) ).
thf(f10993,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_176 ),
inference(constrained_superposition,[],[f8612,f10948]) ).
thf(f10998,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115
| ~ spl2_176 ),
inference(constrained_superposition,[],[f6367,f10948]) ).
thf(f11025,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f10998]) ).
thf(f11034,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_100
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f10990]) ).
thf(f11039,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f10993]) ).
thf(f11042,definition,
( spl2_183
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f11043,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f11042]) ).
thf(f11045,definition,
( spl2_184
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f11046,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_184 ),
inference(avatar_component_clause,[],[f11045]) ).
thf(f11048,definition,
( spl2_185
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f11049,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f11048]) ).
thf(f11052,definition,
( spl2_186
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f11053,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_186 ),
inference(avatar_component_clause,[],[f11052]) ).
thf(f11060,definition,
( spl2_188
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f11061,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f11060]) ).
thf(f11063,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_154 ),
inference(avatar_component_clause,[],[f10738]) ).
thf(f11066,definition,
( spl2_189
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f11067,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f11066]) ).
thf(f11070,definition,
( spl2_190
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f11071,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_190 ),
inference(avatar_component_clause,[],[f11070]) ).
thf(f11073,definition,
( spl2_191
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f11074,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_191 ),
inference(avatar_component_clause,[],[f11073]) ).
thf(f11077,definition,
( spl2_192
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f11078,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f11077]) ).
thf(f11087,definition,
( spl2_194
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f11088,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f11087]) ).
thf(f11091,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| spl2_22
| ~ spl2_115
| ~ spl2_176 ),
inference(forward_subsumption_resolution,[],[f11025,f10844]) ).
thf(f11093,definition,
( spl2_195
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f11094,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f11093]) ).
thf(f11105,definition,
( spl2_197
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f11106,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f11105]) ).
thf(f11107,plain,
( ~ spl2_186
| spl2_197
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_100
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f11034,f10947,f3443,f126,f113,f65,f11105,f11052]) ).
thf(f11111,definition,
( spl2_198
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f11112,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f11111]) ).
thf(f11113,plain,
( spl2_198
| ~ spl2_186
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f11039,f10947,f126,f113,f65,f11052,f11111]) ).
thf(f11119,plain,
( ~ spl2_186
| spl2_161
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| spl2_22
| ~ spl2_115
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f11091,f10947,f5964,f389,f283,f126,f113,f10802,f11052]) ).
thf(f11401,definition,
( spl2_200
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f11402,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f11401]) ).
thf(f11477,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_163 ),
inference(constrained_superposition,[],[f10819,f83]) ).
thf(f11486,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_163 ),
inference(trivial_inequality_removal,[],[f11477]) ).
thf(f11496,plain,
( spl2_166
| spl2_163 ),
inference(avatar_split_clause,[],[f11486,f10818,f10836]) ).
thf(f11498,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_175 ),
inference(constrained_superposition,[],[f8979,f10945]) ).
thf(f11501,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_100
| ~ spl2_175 ),
inference(constrained_superposition,[],[f3635,f10945]) ).
thf(f11513,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_77
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f11498]) ).
thf(f11514,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_100
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f11501]) ).
thf(f11525,plain,
( spl2_164
| ~ spl2_77
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f11513,f10944,f1345,f10822]) ).
thf(f11526,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_100
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f11514,f40]) ).
thf(f11530,definition,
( spl2_204
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).
thf(f11531,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_204 ),
inference(avatar_component_clause,[],[f11530]) ).
thf(f11533,definition,
( spl2_205
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f11534,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f11533]) ).
thf(f11537,plain,
( spl2_205
| ~ spl2_83
| ~ spl2_100
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f11526,f10944,f3443,f1515,f11533]) ).
thf(f11539,definition,
( spl2_206
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).
thf(f11540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f11539]) ).
thf(f11545,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f193,f11534]) ).
thf(f11548,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_20
| ~ spl2_205 ),
inference(constrained_superposition,[],[f383,f11534]) ).
thf(f11564,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_23
| ~ spl2_205 ),
inference(constrained_superposition,[],[f3599,f11534]) ).
thf(f11618,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_73
| ~ spl2_205 ),
inference(constrained_superposition,[],[f6084,f11534]) ).
thf(f11691,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_1
| ~ spl2_205 ),
inference(constrained_superposition,[],[f1611,f11534]) ).
thf(f11757,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_73
| ~ spl2_205 ),
inference(constrained_superposition,[],[f6288,f11534]) ).
thf(f11795,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_23
| ~ spl2_205 ),
inference(duplicate_literal_removal,[],[f11564]) ).
thf(f11798,definition,
( spl2_207
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_207])],[avatar_definition]) ).
thf(f11799,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_207 ),
inference(avatar_component_clause,[],[f11798]) ).
thf(f11803,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_20
| spl2_69
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11548,f1293]) ).
thf(f11807,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_1
| spl2_154
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11691,f11063]) ).
thf(f11823,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11545,f463]) ).
thf(f11826,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_70
| ~ spl2_73
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11757,f1492]) ).
thf(f11828,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_23
| spl2_69
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11795,f1293]) ).
thf(f11829,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_69
| ~ spl2_73
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11618,f1293]) ).
thf(f11836,plain,
( spl2_68
| ~ spl2_20
| spl2_69
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f11803,f11533,f1078,f382,f1075]) ).
thf(f11841,plain,
( spl2_207
| ~ spl2_1
| spl2_154
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f11807,f11533,f10738,f65,f11798]) ).
thf(f11853,plain,
( $false
| spl2_31
| spl2_69
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11823,f1293]) ).
thf(f11854,plain,
( spl2_31
| spl2_69
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f11853]) ).
thf(f11857,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_69
| spl2_70
| ~ spl2_73
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11826,f1293]) ).
thf(f11859,plain,
( spl2_171
| spl2_23
| spl2_69
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f11828,f11533,f1078,f392,f10871]) ).
thf(f11860,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_69
| ~ spl2_73
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f11829,f40]) ).
thf(f11872,plain,
( spl2_161
| spl2_69
| spl2_70
| ~ spl2_73
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f11857,f11533,f1195,f1084,f1078,f10802]) ).
thf(f11873,plain,
( ~ spl2_25
| spl2_69
| ~ spl2_73
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f11860,f11533,f1195,f1078,f399]) ).
thf(f11874,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_151 ),
inference(constrained_superposition,[],[f10723,f49]) ).
thf(f11877,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_151 ),
inference(trivial_inequality_removal,[],[f11874]) ).
thf(f11879,plain,
( spl2_154
| spl2_151 ),
inference(avatar_split_clause,[],[f11877,f10722,f10738]) ).
thf(f11881,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_77
| ~ spl2_154 ),
inference(constrained_superposition,[],[f8979,f10739]) ).
thf(f11884,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_83
| ~ spl2_100
| ~ spl2_154 ),
inference(constrained_superposition,[],[f3635,f10739]) ).
thf(f11885,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_15
| ~ spl2_83
| ~ spl2_154 ),
inference(constrained_superposition,[],[f1525,f10739]) ).
thf(f11890,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_15
| ~ spl2_154 ),
inference(constrained_superposition,[],[f2010,f10739]) ).
thf(f11897,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_77
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f11881]) ).
thf(f11898,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_100
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f11884]) ).
thf(f11901,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_83
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f11885]) ).
thf(f11907,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f11890]) ).
thf(f11909,plain,
( spl2_166
| ~ spl2_77
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f11897,f10738,f1345,f10836]) ).
thf(f11910,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_100
| ~ spl2_154 ),
inference(forward_subsumption_resolution,[],[f11898,f40]) ).
thf(f11912,definition,
( spl2_211
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f11913,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f11912]) ).
thf(f11915,plain,
( spl2_188
| spl2_161
| ~ spl2_15
| ~ spl2_83
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f11901,f10738,f1515,f283,f10802,f11060]) ).
thf(f11917,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_15
| ~ spl2_154 ),
inference(forward_subsumption_resolution,[],[f11907,f40]) ).
thf(f11918,plain,
( spl2_188
| ~ spl2_83
| ~ spl2_100
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f11910,f10738,f3443,f1515,f11060]) ).
thf(f11920,definition,
( spl2_212
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f11921,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f11920]) ).
thf(f11923,plain,
( spl2_166
| spl2_78
| ~ spl2_15
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f11917,f10738,f283,f1348,f10836]) ).
thf(f11926,plain,
( ( $true != $true )
| ~ spl2_2
| spl2_70 ),
inference(constrained_superposition,[],[f1492,f69]) ).
thf(f11928,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_37 ),
inference(constrained_superposition,[],[f527,f69]) ).
thf(f11968,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f11928]) ).
thf(f11972,plain,
( $false
| ~ spl2_2
| spl2_70 ),
inference(trivial_inequality_removal,[],[f11926]) ).
thf(f11973,plain,
( ~ spl2_2
| spl2_70 ),
inference(avatar_contradiction_clause,[],[f11972]) ).
thf(f11992,plain,
( $false
| ~ spl2_2
| ~ spl2_37
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f11968,f959]) ).
thf(f11993,plain,
( ~ spl2_2
| ~ spl2_37
| ~ spl2_43 ),
inference(avatar_contradiction_clause,[],[f11992]) ).
thf(f12062,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_177 ),
inference(constrained_superposition,[],[f10952,f49]) ).
thf(f12065,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_177 ),
inference(trivial_inequality_removal,[],[f12062]) ).
thf(f12067,plain,
( spl2_175
| spl2_177 ),
inference(avatar_split_clause,[],[f12065,f10951,f10944]) ).
thf(f12069,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_192 ),
inference(constrained_superposition,[],[f3743,f11078]) ).
thf(f12070,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_93
| ~ spl2_192 ),
inference(constrained_superposition,[],[f2068,f11078]) ).
thf(f12077,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_146
| ~ spl2_192 ),
inference(constrained_superposition,[],[f8352,f11078]) ).
thf(f12078,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_100
| ~ spl2_192 ),
inference(constrained_superposition,[],[f3630,f11078]) ).
thf(f12081,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5998,f11078]) ).
thf(f12084,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43
| ~ spl2_192 ),
inference(constrained_superposition,[],[f1331,f11078]) ).
thf(f12089,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12084]) ).
thf(f12091,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12069]) ).
thf(f12093,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_146
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12077]) ).
thf(f12098,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12081]) ).
thf(f12099,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_93
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12070]) ).
thf(f12103,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_100
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12078]) ).
thf(f12106,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_175 ),
inference(avatar_component_clause,[],[f10944]) ).
thf(f12107,plain,
( ~ spl2_175
| spl2_204
| ~ spl2_9
| ~ spl2_15
| ~ spl2_43
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f12089,f11077,f579,f283,f126,f11530,f10944]) ).
thf(f12109,plain,
( $false
| ~ spl2_108
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12091,f40]) ).
thf(f12110,plain,
( ~ spl2_108
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f12109]) ).
thf(f12112,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_43
| ~ spl2_146
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12093,f959]) ).
thf(f12116,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_120
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12098,f959]) ).
thf(f12117,plain,
( $false
| ~ spl2_43
| ~ spl2_93
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12099,f959]) ).
thf(f12118,plain,
( ~ spl2_43
| ~ spl2_93
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f12117]) ).
thf(f12121,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_100
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12103,f40]) ).
thf(f12125,plain,
( $false
| ~ spl2_43
| ~ spl2_146
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12112,f40]) ).
thf(f12126,plain,
( ~ spl2_43
| ~ spl2_146
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f12125]) ).
thf(f12129,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_43
| ~ spl2_120
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12116,f40]) ).
thf(f12131,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_43
| ~ spl2_100
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f12121,f959]) ).
thf(f12133,plain,
( spl2_205
| ~ spl2_43
| ~ spl2_120
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f12129,f11077,f5997,f579,f11533]) ).
thf(f12134,plain,
( ~ spl2_175
| ~ spl2_9
| ~ spl2_43
| ~ spl2_100
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f12131,f11077,f3443,f579,f126,f10944]) ).
thf(f12151,definition,
( spl2_213
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_213])],[avatar_definition]) ).
thf(f12152,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_213 ),
inference(avatar_component_clause,[],[f12151]) ).
thf(f12314,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_26
| ~ spl2_194 ),
inference(constrained_superposition,[],[f11088,f403]) ).
thf(f12371,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_26
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f12314]) ).
thf(f12409,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_26
| spl2_154
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f12371,f11063]) ).
thf(f12444,plain,
( $false
| spl2_22
| ~ spl2_26
| spl2_154
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f12409,f10844]) ).
thf(f12445,plain,
( spl2_22
| ~ spl2_26
| spl2_154
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f12444]) ).
thf(f12480,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_186 ),
inference(constrained_superposition,[],[f11053,f83]) ).
thf(f12488,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_186 ),
inference(trivial_inequality_removal,[],[f12480]) ).
thf(f12497,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_85
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f1561]) ).
thf(f12498,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_26
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f403]) ).
thf(f12499,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_140
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f8268]) ).
thf(f12500,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_73
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f6629]) ).
thf(f12503,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_73
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f6288]) ).
thf(f12504,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_115
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f6282]) ).
thf(f12515,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_9
| ~ spl2_43
| ~ spl2_100
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f5590]) ).
thf(f12522,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_26
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12498]) ).
thf(f12524,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_115
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12504]) ).
thf(f12529,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_73
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12500]) ).
thf(f12532,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_85
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12497]) ).
thf(f12535,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_140
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12499]) ).
thf(f12537,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_9
| ~ spl2_43
| ~ spl2_100
| spl2_191 ),
inference(duplicate_literal_removal,[],[f12515]) ).
thf(f12538,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_43
| ~ spl2_100
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12537]) ).
thf(f12539,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_73
| spl2_191 ),
inference(trivial_inequality_removal,[],[f12503]) ).
thf(f12547,plain,
( $false
| ~ spl2_26
| spl2_154
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12522,f11063]) ).
thf(f12548,plain,
( ~ spl2_26
| spl2_154
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f12547]) ).
thf(f12553,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_115
| spl2_154
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12524,f11063]) ).
thf(f12556,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_73
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12529,f40]) ).
thf(f12557,plain,
( spl2_185
| ~ spl2_85
| spl2_191 ),
inference(avatar_split_clause,[],[f12532,f11073,f1560,f11048]) ).
thf(f12558,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_140
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12535,f40]) ).
thf(f12559,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_43
| spl2_70
| ~ spl2_100
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12538,f1492]) ).
thf(f12560,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| ~ spl2_73
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12539,f10844]) ).
thf(f12566,plain,
( $false
| spl2_22
| ~ spl2_115
| spl2_154
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12553,f10844]) ).
thf(f12567,plain,
( spl2_22
| ~ spl2_115
| spl2_154
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f12566]) ).
thf(f12569,plain,
( spl2_185
| ~ spl2_73
| spl2_191 ),
inference(avatar_split_clause,[],[f12556,f11073,f1195,f11048]) ).
thf(f12570,plain,
( $false
| ~ spl2_140
| spl2_154
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12558,f11063]) ).
thf(f12571,plain,
( ~ spl2_140
| spl2_154
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f12570]) ).
thf(f12572,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_43
| spl2_70
| ~ spl2_100
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f12559,f40]) ).
thf(f12573,plain,
( spl2_185
| spl2_22
| ~ spl2_73
| spl2_191 ),
inference(avatar_split_clause,[],[f12560,f11073,f1195,f389,f11048]) ).
thf(f12578,plain,
( spl2_18
| spl2_188
| ~ spl2_9
| ~ spl2_43
| spl2_70
| ~ spl2_100
| spl2_191 ),
inference(avatar_split_clause,[],[f12572,f11073,f3443,f1084,f579,f126,f11060,f374]) ).
thf(f12582,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_75
| spl2_184 ),
inference(constrained_superposition,[],[f11046,f1254]) ).
thf(f12595,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_75
| spl2_184 ),
inference(trivial_inequality_removal,[],[f12582]) ).
thf(f12614,plain,
( spl2_192
| ~ spl2_75
| spl2_184 ),
inference(avatar_split_clause,[],[f12595,f11045,f1253,f11077]) ).
thf(f12620,definition,
( spl2_219
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f12621,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f12620]) ).
thf(f12643,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_108
| ~ spl2_185 ),
inference(constrained_superposition,[],[f3743,f11049]) ).
thf(f12644,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_93
| ~ spl2_185 ),
inference(constrained_superposition,[],[f2068,f11049]) ).
thf(f12649,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_100
| ~ spl2_185 ),
inference(constrained_superposition,[],[f3797,f11049]) ).
thf(f12651,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_146
| ~ spl2_185 ),
inference(constrained_superposition,[],[f8352,f11049]) ).
thf(f12655,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_120
| ~ spl2_185 ),
inference(constrained_superposition,[],[f5998,f11049]) ).
thf(f12661,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_100
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f12649]) ).
thf(f12665,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_108
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f12643]) ).
thf(f12670,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f12655]) ).
thf(f12677,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_146
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f12651]) ).
thf(f12678,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_93
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f12644]) ).
thf(f12680,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_43
| ~ spl2_100
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12661,f959]) ).
thf(f12681,plain,
( $false
| ~ spl2_108
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12665,f40]) ).
thf(f12682,plain,
( ~ spl2_108
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f12681]) ).
thf(f12687,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_43
| ~ spl2_120
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12670,f959]) ).
thf(f12693,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_146
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12677,f40]) ).
thf(f12694,plain,
( $false
| ~ spl2_43
| ~ spl2_93
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12678,f959]) ).
thf(f12695,plain,
( ~ spl2_43
| ~ spl2_93
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f12694]) ).
thf(f12696,plain,
( spl2_195
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_43
| ~ spl2_100
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f12680,f11048,f3443,f579,f167,f126,f113,f11093]) ).
thf(f12701,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_43
| ~ spl2_120
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12687,f40]) ).
thf(f12708,plain,
( $false
| ~ spl2_43
| ~ spl2_146
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12693,f959]) ).
thf(f12709,plain,
( ~ spl2_43
| ~ spl2_146
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f12708]) ).
thf(f12712,plain,
( spl2_188
| ~ spl2_43
| ~ spl2_120
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f12701,f11048,f5997,f579,f11060]) ).
thf(f12752,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f27]) ).
thf(f12753,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f12754,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f12752]) ).
thf(f12755,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f12753]) ).
thf(f12759,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_93
| ~ spl2_178 ),
inference(constrained_superposition,[],[f2068,f10956]) ).
thf(f12770,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_178 ),
inference(constrained_superposition,[],[f5998,f10956]) ).
thf(f12771,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115
| ~ spl2_178 ),
inference(constrained_superposition,[],[f6367,f10956]) ).
thf(f12772,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_85
| ~ spl2_178 ),
inference(constrained_superposition,[],[f2144,f10956]) ).
thf(f12773,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_26
| ~ spl2_178 ),
inference(constrained_superposition,[],[f2059,f10956]) ).
thf(f12788,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_85
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f12772]) ).
thf(f12790,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_93
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f12759]) ).
thf(f12796,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_26
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f12773]) ).
thf(f12797,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f12771]) ).
thf(f12798,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_120
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f12770]) ).
thf(f12810,definition,
( spl2_221
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f12811,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_221 ),
inference(avatar_component_clause,[],[f12810]) ).
thf(f12812,plain,
( spl2_190
| spl2_185
| ~ spl2_221
| ~ spl2_85
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f12788,f10955,f1560,f12810,f11048,f11070]) ).
thf(f12814,plain,
( ~ spl2_163
| ~ spl2_93
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f12790,f10955,f2067,f10818]) ).
thf(f12819,plain,
( spl2_161
| ~ spl2_163
| spl2_204
| ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f12797,f10955,f5964,f283,f126,f113,f11530,f10818,f10802]) ).
thf(f12820,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f12798,f40]) ).
thf(f12828,definition,
( spl2_224
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f12829,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_224 ),
inference(avatar_component_clause,[],[f12828]) ).
thf(f12834,plain,
( ~ spl2_163
| spl2_205
| ~ spl2_120
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f12820,f10955,f5997,f11533,f10818]) ).
thf(f12858,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f161,f10968]) ).
thf(f12861,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_40
| ~ spl2_180 ),
inference(constrained_superposition,[],[f1189,f10968]) ).
thf(f12876,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f12858]) ).
thf(f12878,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_40
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f12861]) ).
thf(f12895,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f11073]) ).
thf(f12897,definition,
( spl2_225
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f12898,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_225 ),
inference(avatar_component_clause,[],[f12897]) ).
thf(f12901,definition,
( spl2_226
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f12902,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f12901]) ).
thf(f12904,definition,
( spl2_227
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f12905,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_227 ),
inference(avatar_component_clause,[],[f12904]) ).
thf(f12911,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f12876,f40]) ).
thf(f12916,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_40
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f12878,f40]) ).
thf(f12918,definition,
( spl2_230
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f12919,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f12918]) ).
thf(f12921,definition,
( spl2_231
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f12922,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f12921]) ).
thf(f12925,definition,
( spl2_232
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f12926,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f12925]) ).
thf(f12929,definition,
( spl2_233
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f12930,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_233 ),
inference(avatar_component_clause,[],[f12929]) ).
thf(f12935,definition,
( spl2_234
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f12936,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_234 ),
inference(avatar_component_clause,[],[f12935]) ).
thf(f12939,definition,
( spl2_235
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_235])],[avatar_definition]) ).
thf(f12940,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_235 ),
inference(avatar_component_clause,[],[f12939]) ).
thf(f12941,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f12810]) ).
thf(f12946,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_175
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f12911,f12106]) ).
thf(f12947,plain,
( spl2_221
| ~ spl2_235
| ~ spl2_40
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f12916,f10967,f555,f12939,f12810]) ).
thf(f12949,plain,
( spl2_226
| spl2_185
| spl2_175
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f12946,f10967,f10944,f11048,f12901]) ).
thf(f12950,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_233 ),
inference(constrained_superposition,[],[f12930,f50]) ).
thf(f12953,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_233 ),
inference(trivial_inequality_removal,[],[f12950]) ).
thf(f12955,plain,
( spl2_192
| spl2_233 ),
inference(avatar_split_clause,[],[f12953,f12929,f11077]) ).
thf(f12965,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_26
| ~ spl2_191 ),
inference(constrained_superposition,[],[f2059,f12895]) ).
thf(f12967,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_191 ),
inference(constrained_superposition,[],[f1333,f12895]) ).
thf(f12975,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_26
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f12965]) ).
thf(f12990,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f12967]) ).
thf(f12992,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_235 ),
inference(constrained_superposition,[],[f12940,f193]) ).
thf(f12994,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_235 ),
inference(constrained_superposition,[],[f12940,f51]) ).
thf(f12996,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_235 ),
inference(trivial_inequality_removal,[],[f12992]) ).
thf(f12999,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_235 ),
inference(trivial_inequality_removal,[],[f12994]) ).
thf(f13016,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_85
| ~ spl2_176 ),
inference(constrained_superposition,[],[f2144,f10948]) ).
thf(f13017,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_26
| ~ spl2_176 ),
inference(constrained_superposition,[],[f2059,f10948]) ).
thf(f13021,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_15
| ~ spl2_176 ),
inference(constrained_superposition,[],[f2010,f10948]) ).
thf(f13022,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_100
| ~ spl2_176 ),
inference(constrained_superposition,[],[f3909,f10948]) ).
thf(f13024,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f24,f10948]) ).
thf(f13027,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_85
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f13016]) ).
thf(f13033,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_26
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f13017]) ).
thf(f13035,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_15
| ~ spl2_100
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f13022]) ).
thf(f13038,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f13024]) ).
thf(f13042,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f13021]) ).
thf(f13050,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_85
| ~ spl2_176
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f13027,f12895]) ).
thf(f13052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_26
| spl2_175
| ~ spl2_176 ),
inference(forward_subsumption_resolution,[],[f13033,f12106]) ).
thf(f13053,plain,
( spl2_192
| spl2_190
| ~ spl2_85
| ~ spl2_176
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f13050,f11073,f10947,f1560,f11070,f11077]) ).
thf(f13054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_26
| spl2_175
| ~ spl2_176
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f13052,f12895]) ).
thf(f13055,plain,
( spl2_190
| ~ spl2_26
| spl2_175
| ~ spl2_176
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f13054,f11073,f10947,f10944,f402,f11070]) ).
thf(f13076,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_176
| ~ spl2_211 ),
inference(constrained_superposition,[],[f11913,f10948]) ).
thf(f13078,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_211 ),
inference(constrained_superposition,[],[f11913,f114]) ).
thf(f13100,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f13076]) ).
thf(f13102,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f13078]) ).
thf(f13119,plain,
( ~ spl2_221
| ~ spl2_176
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f13100,f11912,f10947,f12810]) ).
thf(f13120,plain,
( $false
| ~ spl2_7
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f13102,f114]) ).
thf(f13121,plain,
( ~ spl2_7
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f13120]) ).
thf(f13136,plain,
( ~ spl2_221
| spl2_190
| spl2_154
| ~ spl2_26
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f12796,f10955,f402,f10738,f11070,f12810]) ).
thf(f13159,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| ~ spl2_111
| spl2_224 ),
inference(constrained_superposition,[],[f12829,f5593]) ).
thf(f13168,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_111
| spl2_224 ),
inference(trivial_inequality_removal,[],[f13159]) ).
thf(f13176,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_111
| spl2_224 ),
inference(forward_subsumption_resolution,[],[f13168,f40]) ).
thf(f13181,plain,
( spl2_226
| spl2_188
| spl2_185
| ~ spl2_111
| spl2_224 ),
inference(avatar_split_clause,[],[f13176,f12828,f5592,f11048,f11060,f12901]) ).
thf(f13186,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_26
| ~ spl2_176
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f13033,f12895]) ).
thf(f13187,plain,
( spl2_175
| spl2_190
| ~ spl2_26
| ~ spl2_176
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f13186,f11073,f10947,f402,f11070,f10944]) ).
thf(f13188,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_75
| ~ spl2_175 ),
inference(constrained_superposition,[],[f2348,f10945]) ).
thf(f13195,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_15
| ~ spl2_175 ),
inference(constrained_superposition,[],[f2010,f10945]) ).
thf(f13196,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_15
| ~ spl2_100
| ~ spl2_175 ),
inference(constrained_superposition,[],[f3909,f10945]) ).
thf(f13198,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f24,f10945]) ).
thf(f13199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f13198]) ).
thf(f13201,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_15
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f13195]) ).
thf(f13205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_75
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f13188]) ).
thf(f13207,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_15
| ~ spl2_100
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f13196]) ).
thf(f13210,plain,
( spl2_183
| spl2_192
| ~ spl2_21
| ~ spl2_75
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f13205,f10944,f1253,f385,f11077,f11042]) ).
thf(f13219,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_85
| ~ spl2_179 ),
inference(constrained_superposition,[],[f2202,f10964]) ).
thf(f13242,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_37
| ~ spl2_85
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f13219]) ).
thf(f13264,definition,
( spl2_240
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f13265,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f13264]) ).
thf(f13268,definition,
( spl2_241
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f13269,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_241 ),
inference(avatar_component_clause,[],[f13268]) ).
thf(f13271,plain,
( spl2_240
| spl2_192
| ~ spl2_37
| ~ spl2_85
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f13242,f10963,f1560,f526,f11077,f13264]) ).
thf(f13278,definition,
( spl2_243
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f13279,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f13278]) ).
thf(f13284,definition,
( spl2_244
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_244])],[avatar_definition]) ).
thf(f13285,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_244 ),
inference(avatar_component_clause,[],[f13284]) ).
thf(f13292,definition,
( spl2_245
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f13293,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f13292]) ).
thf(f13299,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_234 ),
inference(constrained_superposition,[],[f12936,f50]) ).
thf(f13302,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_234 ),
inference(trivial_inequality_removal,[],[f13299]) ).
thf(f13304,plain,
( spl2_185
| spl2_234 ),
inference(avatar_split_clause,[],[f13302,f12935,f11048]) ).
thf(f13305,plain,
( spl2_8
| spl2_7 ),
inference(avatar_split_clause,[],[f3528,f113,f116]) ).
thf(f13307,definition,
( spl2_246
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f13308,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f13307]) ).
thf(f13315,definition,
( spl2_248
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_248])],[avatar_definition]) ).
thf(f13316,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_248 ),
inference(avatar_component_clause,[],[f13315]) ).
thf(f13332,definition,
( spl2_251
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f13333,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f13332]) ).
thf(f13334,plain,
( spl2_251
| spl2_23 ),
inference(avatar_split_clause,[],[f3594,f392,f13332]) ).
thf(f13364,plain,
( spl2_164
| spl2_186 ),
inference(avatar_split_clause,[],[f12488,f11052,f10822]) ).
thf(f13368,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_75
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f6617,f40]) ).
thf(f13371,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f12990,f386]) ).
thf(f13379,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_15
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f13201,f40]) ).
thf(f13381,plain,
( spl2_194
| spl2_161
| spl2_164
| ~ spl2_15
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f13042,f10947,f283,f10822,f10802,f11087]) ).
thf(f13394,plain,
( spl2_28
| ~ spl2_21
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f9005,f1345,f385,f411]) ).
thf(f13395,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_15
| ~ spl2_100
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f13207,f40]) ).
thf(f13397,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_15
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f7815,f40]) ).
thf(f13400,plain,
( spl2_161
| spl2_189
| spl2_164
| ~ spl2_15
| ~ spl2_100
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f13035,f10947,f3443,f283,f10822,f11066,f10802]) ).
thf(f13408,definition,
( spl2_258
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f13409,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f13408]) ).
thf(f13412,plain,
( ~ spl2_23
| spl2_246
| ~ spl2_75
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f13368,f5997,f1253,f13307,f392]) ).
thf(f13414,plain,
( spl2_166
| spl2_22
| ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f13371,f11073,f385,f283,f126,f389,f10836]) ).
thf(f13416,plain,
( spl2_164
| spl2_78
| ~ spl2_15
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f13379,f10944,f283,f1348,f10822]) ).
thf(f13425,plain,
( spl2_108
| spl2_164
| ~ spl2_15
| ~ spl2_100
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f13395,f10944,f3443,f283,f10822,f3742]) ).
thf(f13426,plain,
( spl2_28
| spl2_78
| ~ spl2_15
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f13397,f385,f283,f1348,f411]) ).
thf(f13607,definition,
( spl2_261
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_261])],[avatar_definition]) ).
thf(f13608,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_261 ),
inference(avatar_component_clause,[],[f13607]) ).
thf(f13652,definition,
( spl2_263
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).
thf(f13653,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_263 ),
inference(avatar_component_clause,[],[f13652]) ).
thf(f13671,definition,
( spl2_264
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f13672,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f13671]) ).
thf(f13837,plain,
( spl2_15
| ~ spl2_16
| spl2_52
| ~ spl2_26
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f2126,f526,f402,f767,f309,f283]) ).
thf(f13839,definition,
( spl2_297
<=> ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_297])],[avatar_definition]) ).
thf(f13840,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_297 ),
inference(avatar_component_clause,[],[f13839]) ).
thf(f13841,plain,
( spl2_297
| ~ spl2_16
| spl2_15
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f3421,f3298,f283,f309,f13839]) ).
thf(f13912,plain,
( spl2_85
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f6171,f6017,f1560]) ).
thf(f13918,definition,
( spl2_316
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f13919,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f13918]) ).
thf(f13955,definition,
( spl2_325
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f13956,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f13955]) ).
thf(f14025,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_26
| spl2_154
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f12975,f11063]) ).
thf(f14067,plain,
( spl2_211
| ~ spl2_69
| ~ spl2_26
| spl2_154
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f14025,f11073,f10738,f402,f1078,f11912]) ).
thf(f14077,plain,
( spl2_123
| spl2_20 ),
inference(avatar_split_clause,[],[f3550,f382,f6020]) ).
thf(f14104,definition,
( spl2_347
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f14105,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f14104]) ).
thf(f14108,definition,
( spl2_348
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).
thf(f14109,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_348 ),
inference(avatar_component_clause,[],[f14108]) ).
thf(f14113,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_224 ),
inference(avatar_component_clause,[],[f12828]) ).
thf(f14140,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_56
| ~ spl2_82 ),
inference(constrained_superposition,[],[f1167,f1477]) ).
thf(f14147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f26,f1477]) ).
thf(f14155,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f14147]) ).
thf(f14161,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_56
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f14140]) ).
thf(f14169,plain,
( spl2_8
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f14155,f1476,f116]) ).
thf(f14174,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_22
| ~ spl2_56
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f14161,f10844]) ).
thf(f14179,definition,
( spl2_350
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_350])],[avatar_definition]) ).
thf(f14180,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_350 ),
inference(avatar_component_clause,[],[f14179]) ).
thf(f14183,plain,
( spl2_57
| spl2_22
| ~ spl2_56
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f14174,f1476,f816,f389,f819]) ).
thf(f14185,definition,
( spl2_351
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_351])],[avatar_definition]) ).
thf(f14186,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_351 ),
inference(avatar_component_clause,[],[f14185]) ).
thf(f14189,definition,
( spl2_352
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
thf(f14190,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f14189]) ).
thf(f14192,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_140
| ~ spl2_172 ),
inference(constrained_superposition,[],[f10879,f8268]) ).
thf(f14193,plain,
( ( $true != $true )
| ~ spl2_172
| ~ spl2_191 ),
inference(constrained_superposition,[],[f10879,f12895]) ).
thf(f14206,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_140
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f14192]) ).
thf(f14208,plain,
( $false
| ~ spl2_172
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f14193]) ).
thf(f14209,plain,
( ~ spl2_172
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f14208]) ).
thf(f14218,plain,
( spl2_153
| ~ spl2_140
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f14206,f10878,f8267,f10734]) ).
thf(f14222,definition,
( spl2_353
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f14223,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( X0 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f14222]) ).
thf(f14226,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_16 ),
inference(constrained_superposition,[],[f310,f50]) ).
thf(f14228,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_16 ),
inference(trivial_inequality_removal,[],[f14226]) ).
thf(f14454,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_69 ),
inference(constrained_superposition,[],[f527,f1079]) ).
thf(f14455,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_69 ),
inference(constrained_superposition,[],[f788,f1079]) ).
thf(f14456,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_69 ),
inference(constrained_superposition,[],[f93,f1079]) ).
thf(f14457,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_69 ),
inference(constrained_superposition,[],[f24,f1079]) ).
thf(f14458,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_69 ),
inference(duplicate_literal_removal,[],[f14455]) ).
thf(f14459,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_69 ),
inference(trivial_inequality_removal,[],[f14458]) ).
thf(f14460,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_69 ),
inference(duplicate_literal_removal,[],[f14456]) ).
thf(f14461,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_69 ),
inference(trivial_inequality_removal,[],[f14460]) ).
thf(f14462,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| ~ spl2_69 ),
inference(trivial_inequality_removal,[],[f14454]) ).
thf(f14463,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_69 ),
inference(trivial_inequality_removal,[],[f14457]) ).
thf(f14464,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_21
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f14459,f386]) ).
thf(f14465,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f14461,f83]) ).
thf(f14466,plain,
( $false
| ~ spl2_23
| ~ spl2_37
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f14462,f393]) ).
thf(f14467,plain,
( ~ spl2_23
| ~ spl2_37
| ~ spl2_69 ),
inference(avatar_contradiction_clause,[],[f14466]) ).
thf(f14468,plain,
( spl2_169
| ~ spl2_69 ),
inference(avatar_split_clause,[],[f14463,f1078,f10857]) ).
thf(f14469,plain,
( spl2_172
| ~ spl2_21
| ~ spl2_69 ),
inference(avatar_split_clause,[],[f14464,f1078,f385,f10878]) ).
thf(f14470,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_28
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f14465,f412]) ).
thf(f14471,plain,
( spl2_172
| spl2_28
| ~ spl2_69 ),
inference(avatar_split_clause,[],[f14470,f1078,f411,f10878]) ).
thf(f14507,definition,
( spl2_360
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_360])],[avatar_definition]) ).
thf(f14508,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_360 ),
inference(avatar_component_clause,[],[f14507]) ).
thf(f14511,definition,
( spl2_361
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f14512,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f14511]) ).
thf(f14515,definition,
( spl2_362
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).
thf(f14516,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_362 ),
inference(avatar_component_clause,[],[f14515]) ).
thf(f14524,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_39 ),
inference(constrained_superposition,[],[f788,f553]) ).
thf(f14525,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f93,f553]) ).
thf(f14526,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f24,f553]) ).
thf(f14530,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f14525]) ).
thf(f14532,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f14524]) ).
thf(f14533,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f14526]) ).
thf(f14540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f14530,f412]) ).
thf(f14791,definition,
( spl2_365
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_365])],[avatar_definition]) ).
thf(f14792,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_365 ),
inference(avatar_component_clause,[],[f14791]) ).
thf(f14795,definition,
( spl2_366
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_366])],[avatar_definition]) ).
thf(f14796,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_366 ),
inference(avatar_component_clause,[],[f14795]) ).
thf(f14799,definition,
( spl2_367
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f14800,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f14799]) ).
thf(f14803,definition,
( spl2_368
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_368])],[avatar_definition]) ).
thf(f14804,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_368 ),
inference(avatar_component_clause,[],[f14803]) ).
thf(f14813,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_57 ),
inference(constrained_superposition,[],[f516,f820]) ).
thf(f14822,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f14813]) ).
thf(f14829,plain,
( $false
| ~ spl2_9
| ~ spl2_34
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f14822,f837]) ).
thf(f14830,plain,
( ~ spl2_9
| ~ spl2_34
| ~ spl2_57 ),
inference(avatar_contradiction_clause,[],[f14829]) ).
thf(f14836,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_350 ),
inference(constrained_superposition,[],[f14180,f84]) ).
thf(f14840,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f14836]) ).
thf(f14846,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_39
| ~ spl2_80 ),
inference(constrained_superposition,[],[f1389,f553]) ).
thf(f14860,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f14846]) ).
thf(f14863,plain,
( spl2_258
| ~ spl2_39
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f14860,f1388,f552,f13408]) ).
thf(f14894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f26,f10964]) ).
thf(f14905,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f14894]) ).
thf(f14926,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_179
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14508,f10964]) ).
thf(f14944,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_179
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f14926]) ).
thf(f14945,plain,
( $false
| ~ spl2_164
| ~ spl2_179
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f14944,f10823]) ).
thf(f14946,plain,
( ~ spl2_164
| ~ spl2_179
| ~ spl2_360 ),
inference(avatar_contradiction_clause,[],[f14945]) ).
thf(f14947,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f11052]) ).
thf(f14949,definition,
( spl2_370
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f14950,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_370 ),
inference(avatar_component_clause,[],[f14949]) ).
thf(f14953,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_133
| ~ spl2_179
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14944,f6683]) ).
thf(f14955,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14944,f51]) ).
thf(f14959,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_179
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f14955]) ).
thf(f14960,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_133
| ~ spl2_179
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f14953]) ).
thf(f14963,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_179
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f14959,f40]) ).
thf(f14964,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_133
| ~ spl2_179
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f14960,f40]) ).
thf(f14965,plain,
( spl2_186
| ~ spl2_179
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f14963,f14507,f10963,f11052]) ).
thf(f14966,plain,
( spl2_192
| ~ spl2_133
| ~ spl2_179
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f14964,f14507,f10963,f6682,f11077]) ).
thf(f14969,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_186 ),
inference(constrained_superposition,[],[f1939,f14947]) ).
thf(f14985,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f14969]) ).
thf(f14990,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_192 ),
inference(avatar_component_clause,[],[f11077]) ).
thf(f14993,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f14985,f40]) ).
thf(f14996,definition,
( spl2_371
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_371])],[avatar_definition]) ).
thf(f14997,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_371 ),
inference(avatar_component_clause,[],[f14996]) ).
thf(f14999,plain,
( spl2_161
| spl2_371
| ~ spl2_37
| ~ spl2_56
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f14993,f11052,f816,f526,f14996,f10802]) ).
thf(f15009,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_206 ),
inference(constrained_superposition,[],[f11540,f553]) ).
thf(f15019,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f15009]) ).
thf(f15025,plain,
( $false
| ~ spl2_21
| ~ spl2_39
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f15019,f386]) ).
thf(f15026,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f15025]) ).
thf(f15032,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_22
| spl2_235 ),
inference(forward_subsumption_resolution,[],[f12999,f10844]) ).
thf(f15038,definition,
( spl2_374
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_374])],[avatar_definition]) ).
thf(f15039,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_374 ),
inference(avatar_component_clause,[],[f15038]) ).
thf(f15041,plain,
( spl2_191
| spl2_235 ),
inference(avatar_split_clause,[],[f12996,f12939,f11073]) ).
thf(f15043,plain,
( spl2_191
| spl2_22
| spl2_235 ),
inference(avatar_split_clause,[],[f15032,f12939,f389,f11073]) ).
thf(f15089,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_86
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f1566]) ).
thf(f15090,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_111
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f5593]) ).
thf(f15093,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_86
| spl2_191 ),
inference(trivial_inequality_removal,[],[f15089]) ).
thf(f15098,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111
| spl2_191 ),
inference(trivial_inequality_removal,[],[f15090]) ).
thf(f15100,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_70
| ~ spl2_111
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f15098,f1492]) ).
thf(f15101,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| spl2_70
| ~ spl2_111
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f15100,f40]) ).
thf(f15102,plain,
( spl2_188
| spl2_18
| spl2_70
| ~ spl2_111
| spl2_191 ),
inference(avatar_split_clause,[],[f15101,f11073,f5592,f1084,f374,f11060]) ).
thf(f15103,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_176
| ~ spl2_212 ),
inference(constrained_superposition,[],[f11921,f10948]) ).
thf(f15104,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_212 ),
inference(constrained_superposition,[],[f11921,f553]) ).
thf(f15111,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_176
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f15103]) ).
thf(f15113,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f15104]) ).
thf(f15120,plain,
( $false
| ~ spl2_175
| ~ spl2_176
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f15111,f10945]) ).
thf(f15121,plain,
( ~ spl2_175
| ~ spl2_176
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f15120]) ).
thf(f15122,plain,
( $false
| ~ spl2_21
| ~ spl2_39
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f15113,f386]) ).
thf(f15123,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f15122]) ).
thf(f15129,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_86
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f15093,f40]) ).
thf(f15131,plain,
( spl2_154
| spl2_188
| ~ spl2_86
| spl2_191 ),
inference(avatar_split_clause,[],[f15129,f11073,f1565,f11060,f10738]) ).
thf(f15132,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_164
| ~ spl2_188 ),
inference(constrained_superposition,[],[f10823,f11061]) ).
thf(f15216,plain,
( spl2_166
| ~ spl2_164
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f15132,f11060,f10822,f10836]) ).
thf(f15244,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_374 ),
inference(constrained_superposition,[],[f15039,f51]) ).
thf(f15246,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_374 ),
inference(constrained_superposition,[],[f15039,f85]) ).
thf(f15252,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f15244]) ).
thf(f15253,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f15246]) ).
thf(f15255,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_175
| ~ spl2_258 ),
inference(constrained_superposition,[],[f13409,f10945]) ).
thf(f15264,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_175
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f15255]) ).
thf(f15269,plain,
( spl2_204
| ~ spl2_175
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f15264,f13408,f10944,f11530]) ).
thf(f15279,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_365 ),
inference(constrained_superposition,[],[f14792,f27]) ).
thf(f15286,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f15279]) ).
thf(f15288,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f117,f27]) ).
thf(f15289,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f117,f51]) ).
thf(f15294,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f15288]) ).
thf(f15299,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f15289]) ).
thf(f15302,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_18
| ~ spl2_21 ),
inference(constrained_superposition,[],[f788,f375]) ).
thf(f15303,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f93,f375]) ).
thf(f15307,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f15303]) ).
thf(f15309,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f15302]) ).
thf(f15310,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_18
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f15307,f412]) ).
thf(f15311,plain,
( spl2_97
| ~ spl2_18
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f15309,f385,f374,f2566]) ).
thf(f15312,plain,
( spl2_32
| ~ spl2_18
| spl2_28 ),
inference(avatar_split_clause,[],[f15310,f411,f374,f507]) ).
thf(f15314,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f12755,f51]) ).
thf(f15316,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f12755,f85]) ).
thf(f15334,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f15316]) ).
thf(f15336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f15314]) ).
thf(f15340,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164
| ~ spl2_350 ),
inference(constrained_superposition,[],[f14840,f10823]) ).
thf(f15344,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f15340]) ).
thf(f15348,plain,
( spl2_371
| ~ spl2_164
| ~ spl2_350 ),
inference(avatar_split_clause,[],[f15344,f14179,f10822,f14996]) ).
thf(f15403,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_190 ),
inference(constrained_superposition,[],[f11071,f553]) ).
thf(f15415,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f15403]) ).
thf(f15423,plain,
( $false
| ~ spl2_39
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f15415,f553]) ).
thf(f15424,plain,
( ~ spl2_39
| ~ spl2_190 ),
inference(avatar_contradiction_clause,[],[f15423]) ).
thf(f15431,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f12922,f193]) ).
thf(f15433,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_231 ),
inference(constrained_superposition,[],[f12922,f10823]) ).
thf(f15445,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f15433]) ).
thf(f15446,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f15431]) ).
thf(f15447,plain,
( ~ spl2_227
| ~ spl2_164
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f15445,f12921,f10822,f12904]) ).
thf(f15449,definition,
( spl2_383
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_383])],[avatar_definition]) ).
thf(f15450,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_383 ),
inference(avatar_component_clause,[],[f15449]) ).
thf(f15451,plain,
( spl2_221
| ~ spl2_383
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f15446,f12921,f15449,f12810]) ).
thf(f15452,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_227 ),
inference(constrained_superposition,[],[f12905,f84]) ).
thf(f15455,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_227 ),
inference(trivial_inequality_removal,[],[f15452]) ).
thf(f15458,plain,
( spl2_264
| spl2_227 ),
inference(avatar_split_clause,[],[f15455,f12904,f13671]) ).
thf(f15463,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_264 ),
inference(constrained_superposition,[],[f24,f13672]) ).
thf(f15466,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f15463]) ).
thf(f15467,plain,
( spl2_263
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f15466,f13671,f13652]) ).
thf(f15490,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_166 ),
inference(avatar_component_clause,[],[f10836]) ).
thf(f15494,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_98
| spl2_166 ),
inference(constrained_superposition,[],[f15490,f3299]) ).
thf(f15495,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_144
| spl2_166 ),
inference(constrained_superposition,[],[f15490,f8333]) ).
thf(f15498,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_98
| spl2_166 ),
inference(trivial_inequality_removal,[],[f15494]) ).
thf(f15499,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_144
| spl2_166 ),
inference(trivial_inequality_removal,[],[f15495]) ).
thf(f15502,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_98
| spl2_154
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f15498,f11063]) ).
thf(f15503,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_144
| spl2_154
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f15499,f11063]) ).
thf(f15504,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f10818]) ).
thf(f15507,plain,
( $false
| spl2_22
| ~ spl2_98
| spl2_154
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f15502,f10844]) ).
thf(f15508,plain,
( spl2_22
| ~ spl2_98
| spl2_154
| spl2_166 ),
inference(avatar_contradiction_clause,[],[f15507]) ).
thf(f15509,plain,
( $false
| ~ spl2_144
| spl2_154
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f15503,f40]) ).
thf(f15510,plain,
( ~ spl2_144
| spl2_154
| spl2_166 ),
inference(avatar_contradiction_clause,[],[f15509]) ).
thf(f15512,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_134
| ~ spl2_163 ),
inference(constrained_superposition,[],[f6795,f15504]) ).
thf(f15515,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f24,f15504]) ).
thf(f15517,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f15515]) ).
thf(f15518,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_134
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f15512]) ).
thf(f15520,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_185 ),
inference(avatar_component_clause,[],[f11048]) ).
thf(f15522,plain,
( spl2_261
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f15517,f10818,f13607]) ).
thf(f15523,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_134
| spl2_154
| ~ spl2_163 ),
inference(forward_subsumption_resolution,[],[f15518,f11063]) ).
thf(f15524,plain,
( spl2_188
| ~ spl2_134
| spl2_154
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f15523,f10818,f10738,f6794,f11060]) ).
thf(f15535,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_221 ),
inference(constrained_superposition,[],[f516,f12941]) ).
thf(f15536,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_221 ),
inference(constrained_superposition,[],[f527,f12941]) ).
thf(f15539,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f15536]) ).
thf(f15542,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f15535]) ).
thf(f15543,plain,
( $false
| ~ spl2_37
| ~ spl2_186
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f15539,f14947]) ).
thf(f15544,plain,
( ~ spl2_37
| ~ spl2_186
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f15543]) ).
thf(f15545,plain,
( $false
| ~ spl2_34
| ~ spl2_175
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f15542,f10945]) ).
thf(f15546,plain,
( ~ spl2_34
| ~ spl2_175
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f15545]) ).
thf(f15554,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_78
| ~ spl2_192 ),
inference(constrained_superposition,[],[f1349,f11078]) ).
thf(f15555,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f24,f11078]) ).
thf(f15557,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f15555]) ).
thf(f15558,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_78
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f15554]) ).
thf(f15560,plain,
( spl2_204
| ~ spl2_78
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f15558,f11077,f1348,f11530]) ).
thf(f15590,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f14950,f27]) ).
thf(f15592,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f14950,f84]) ).
thf(f15597,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f15592]) ).
thf(f15599,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f15590]) ).
thf(f15604,plain,
( spl2_232
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f15599,f14949,f12925]) ).
thf(f15644,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f14905,f84]) ).
thf(f15653,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f15644]) ).
thf(f15695,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_175 ),
inference(constrained_superposition,[],[f14532,f10945]) ).
thf(f15701,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f15695]) ).
thf(f15728,definition,
( spl2_386
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).
thf(f15729,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_386 ),
inference(avatar_component_clause,[],[f15728]) ).
thf(f15735,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_386 ),
inference(constrained_superposition,[],[f15729,f10964]) ).
thf(f15741,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_179
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f15735]) ).
thf(f15794,definition,
( spl2_388
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_388])],[avatar_definition]) ).
thf(f15795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_388 ),
inference(avatar_component_clause,[],[f15794]) ).
thf(f15796,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_371 ),
inference(avatar_component_clause,[],[f14996]) ).
thf(f15956,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_176 ),
inference(constrained_superposition,[],[f14533,f10948]) ).
thf(f15974,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f15956]) ).
thf(f15987,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true ) )
| ~ spl2_13
| ~ spl2_261 ),
inference(constrained_superposition,[],[f13608,f219]) ).
thf(f15989,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_13
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f15987]) ).
thf(f15998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_13
| ~ spl2_43
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f15989,f959]) ).
thf(f16003,definition,
( spl2_391
<=> ! [X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_391])],[avatar_definition]) ).
thf(f16004,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_391 ),
inference(avatar_component_clause,[],[f16003]) ).
thf(f16005,plain,
( spl2_391
| spl2_212
| ~ spl2_13
| ~ spl2_43
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f15998,f13607,f579,f218,f11920,f16003]) ).
thf(f16036,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_39
| ~ spl2_175 ),
inference(constrained_superposition,[],[f13199,f553]) ).
thf(f16038,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_175
| ~ spl2_192 ),
inference(constrained_superposition,[],[f13199,f11078]) ).
thf(f16041,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_175 ),
inference(constrained_superposition,[],[f13199,f375]) ).
thf(f16044,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f16041]) ).
thf(f16045,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f16036]) ).
thf(f16051,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_175
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f16038]) ).
thf(f16053,definition,
( spl2_393
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f16054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f16053]) ).
thf(f16055,plain,
( spl2_205
| spl2_393
| ~ spl2_18
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f16044,f10944,f374,f16053,f11533]) ).
thf(f16056,plain,
( spl2_393
| ~ spl2_39
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f16045,f10944,f552,f16053]) ).
thf(f16084,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_393 ),
inference(constrained_superposition,[],[f16054,f83]) ).
thf(f16091,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f16084]) ).
thf(f16098,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_39
| ~ spl2_176 ),
inference(constrained_superposition,[],[f13038,f553]) ).
thf(f16103,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_176 ),
inference(constrained_superposition,[],[f13038,f375]) ).
thf(f16107,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f16103]) ).
thf(f16111,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_39
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f16098]) ).
thf(f16115,definition,
( spl2_395
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_395])],[avatar_definition]) ).
thf(f16116,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_395 ),
inference(avatar_component_clause,[],[f16115]) ).
thf(f16117,plain,
( spl2_395
| spl2_205
| ~ spl2_18
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f16107,f10947,f374,f11533,f16115]) ).
thf(f16122,plain,
( spl2_395
| ~ spl2_39
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f16111,f10947,f552,f16115]) ).
thf(f16172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f93,f6021]) ).
thf(f16173,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f24,f6021]) ).
thf(f16187,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f16172]) ).
thf(f16189,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f16173]) ).
thf(f16190,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f16187,f412]) ).
thf(f16225,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ X1 ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_123 ),
inference(constrained_superposition,[],[f16189,f553]) ).
thf(f16226,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f16189,f6021]) ).
thf(f16227,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f16189,f83]) ).
thf(f16234,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f16225]) ).
thf(f16238,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f16226]) ).
thf(f16239,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f16227]) ).
thf(f16783,definition,
( spl2_433
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_433])],[avatar_definition]) ).
thf(f16784,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_433 ),
inference(avatar_component_clause,[],[f16783]) ).
thf(f16914,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_191
| ~ spl2_226 ),
inference(constrained_superposition,[],[f11074,f12902]) ).
thf(f16926,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_175
| ~ spl2_226 ),
inference(constrained_superposition,[],[f13199,f12902]) ).
thf(f16932,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_154
| ~ spl2_226 ),
inference(constrained_superposition,[],[f11063,f12902]) ).
thf(f16944,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_154
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f16932]) ).
thf(f16947,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_191
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f16914]) ).
thf(f16957,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_175
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f16926]) ).
thf(f16964,definition,
( spl2_458
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_458])],[avatar_definition]) ).
thf(f16965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_458 ),
inference(avatar_component_clause,[],[f16964]) ).
thf(f16967,definition,
( spl2_459
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_459])],[avatar_definition]) ).
thf(f16968,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_459 ),
inference(avatar_component_clause,[],[f16967]) ).
thf(f16975,plain,
( $false
| spl2_154
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f16944,f40]) ).
thf(f16976,plain,
( spl2_154
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f16975]) ).
thf(f16977,plain,
( spl2_188
| spl2_191
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f16947,f12901,f11073,f11060]) ).
thf(f16988,definition,
( spl2_463
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_463])],[avatar_definition]) ).
thf(f16989,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_463 ),
inference(avatar_component_clause,[],[f16988]) ).
thf(f16990,plain,
( spl2_459
| spl2_463
| ~ spl2_175
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f16957,f12901,f10944,f16988,f16967]) ).
thf(f16992,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f15597,f15796]) ).
thf(f16993,plain,
( ~ spl2_227
| ~ spl2_179
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f15741,f15728,f10963,f12904]) ).
thf(f16995,definition,
( spl2_464
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_464])],[avatar_definition]) ).
thf(f16996,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_464 ),
inference(avatar_component_clause,[],[f16995]) ).
thf(f16997,plain,
( spl2_264
| spl2_464
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f15653,f10963,f16995,f13671]) ).
thf(f16998,plain,
( ~ spl2_227
| ~ spl2_370
| spl2_371 ),
inference(avatar_split_clause,[],[f16992,f14996,f14949,f12904]) ).
thf(f16999,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_211
| ~ spl2_264 ),
inference(constrained_superposition,[],[f11913,f13672]) ).
thf(f17007,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f16999]) ).
thf(f17022,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_263 ),
inference(constrained_superposition,[],[f13653,f10948]) ).
thf(f17025,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_263 ),
inference(constrained_superposition,[],[f13653,f1899]) ).
thf(f17035,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_11
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f17025]) ).
thf(f17036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_176
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f17022]) ).
thf(f17043,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_11
| spl2_154
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f17035,f11063]) ).
thf(f17047,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f17043,f848]) ).
thf(f17057,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_17
| spl2_28
| ~ spl2_39 ),
inference(constrained_superposition,[],[f14540,f313]) ).
thf(f17083,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_17
| spl2_28
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f17057]) ).
thf(f17092,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_17
| ~ spl2_21
| spl2_28
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f17083,f14532]) ).
thf(f17096,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_17
| ~ spl2_21
| spl2_28
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f17092,f40]) ).
thf(f17099,plain,
( spl2_76
| ~ spl2_17
| ~ spl2_21
| spl2_28
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f17096,f552,f411,f385,f312,f1291]) ).
thf(f17128,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f12754,f27]) ).
thf(f17129,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f12754,f49]) ).
thf(f17130,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f17129]) ).
thf(f17131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f17128]) ).
thf(f17132,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f17131,f27]) ).
thf(f17136,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f17131,f193]) ).
thf(f17141,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f17136]) ).
thf(f17145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f17132]) ).
thf(f17207,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_185
| ~ spl2_246 ),
inference(constrained_superposition,[],[f15520,f13308]) ).
thf(f17224,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_185
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f17207]) ).
thf(f17232,plain,
( spl2_188
| spl2_185
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f17224,f13307,f11048,f11060]) ).
thf(f17236,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_221
| ~ spl2_244 ),
inference(constrained_superposition,[],[f12811,f13285]) ).
thf(f17240,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_186
| ~ spl2_244 ),
inference(constrained_superposition,[],[f11053,f13285]) ).
thf(f17255,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_43
| ~ spl2_244 ),
inference(constrained_superposition,[],[f971,f13285]) ).
thf(f17271,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_186
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f17240]) ).
thf(f17278,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_221
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f17236]) ).
thf(f17286,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_43
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f17255]) ).
thf(f17300,plain,
( $false
| spl2_186
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f17271,f40]) ).
thf(f17301,plain,
( spl2_186
| ~ spl2_244 ),
inference(avatar_contradiction_clause,[],[f17300]) ).
thf(f17307,plain,
( spl2_161
| spl2_221
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f17278,f13284,f12810,f10802]) ).
thf(f17312,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_43
| ~ spl2_192
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f17286,f11078]) ).
thf(f17314,definition,
( spl2_469
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_469])],[avatar_definition]) ).
thf(f17315,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_469 ),
inference(avatar_component_clause,[],[f17314]) ).
thf(f17319,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_43
| ~ spl2_192
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f17312,f40]) ).
thf(f17320,plain,
( spl2_206
| ~ spl2_43
| ~ spl2_192
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f17319,f13284,f11077,f579,f11539]) ).
thf(f17329,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_219
| spl2_221 ),
inference(constrained_superposition,[],[f12811,f12621]) ).
thf(f17333,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_186
| ~ spl2_219 ),
inference(constrained_superposition,[],[f11053,f12621]) ).
thf(f17336,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_32
| ~ spl2_219 ),
inference(constrained_superposition,[],[f508,f12621]) ).
thf(f17337,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_219 ),
inference(constrained_superposition,[],[f516,f12621]) ).
thf(f17354,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_186
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f17333]) ).
thf(f17357,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f17337]) ).
thf(f17372,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_219
| spl2_221 ),
inference(trivial_inequality_removal,[],[f17329]) ).
thf(f17378,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_32
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f17336]) ).
thf(f17380,plain,
( spl2_204
| spl2_186
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f17354,f12620,f11052,f11530]) ).
thf(f17382,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_34
| ~ spl2_175
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f17357,f10945]) ).
thf(f17384,plain,
( spl2_205
| ~ spl2_219
| spl2_221 ),
inference(avatar_split_clause,[],[f17372,f12810,f12620,f11533]) ).
thf(f17388,plain,
( spl2_469
| spl2_205
| ~ spl2_32
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f17378,f12620,f507,f11533,f17314]) ).
thf(f17390,plain,
( spl2_205
| ~ spl2_34
| ~ spl2_175
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f17382,f12620,f10944,f515,f11533]) ).
thf(f17399,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f17130,f193]) ).
thf(f17403,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f17399]) ).
thf(f17418,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f15294,f27]) ).
thf(f17419,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f15294,f51]) ).
thf(f17422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f17418]) ).
thf(f17425,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f17419]) ).
thf(f17573,definition,
( spl2_472
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_472])],[avatar_definition]) ).
thf(f17574,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_472 ),
inference(avatar_component_clause,[],[f17573]) ).
thf(f17688,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_374 ),
inference(constrained_superposition,[],[f15252,f50]) ).
thf(f17690,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f17688]) ).
thf(f17695,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_211
| ~ spl2_374 ),
inference(constrained_superposition,[],[f11913,f17690]) ).
thf(f17720,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_211
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f17695]) ).
thf(f17773,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_263 ),
inference(constrained_superposition,[],[f13653,f8179]) ).
thf(f17774,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_211 ),
inference(constrained_superposition,[],[f11913,f8179]) ).
thf(f17807,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f17774]) ).
thf(f17834,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f17773]) ).
thf(f17838,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_34
| ~ spl2_139
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f17807,f516]) ).
thf(f17841,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_139
| spl2_154
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f17834,f11063]) ).
thf(f17843,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f17841,f848]) ).
thf(f17859,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f15299,f51]) ).
thf(f17866,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f17859]) ).
thf(f17885,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f17422,f27]) ).
thf(f17895,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f17885]) ).
thf(f18255,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_188 ),
inference(avatar_component_clause,[],[f11060]) ).
thf(f18258,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_161 ),
inference(avatar_component_clause,[],[f10802]) ).
thf(f18301,definition,
( spl2_482
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_482])],[avatar_definition]) ).
thf(f18302,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_482 ),
inference(avatar_component_clause,[],[f18301]) ).
thf(f18318,definition,
( spl2_485
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_485])],[avatar_definition]) ).
thf(f18319,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_485 ),
inference(avatar_component_clause,[],[f18318]) ).
thf(f18367,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f51,f18255]) ).
thf(f18373,definition,
( spl2_489
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_489])],[avatar_definition]) ).
thf(f18374,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_489 ),
inference(avatar_component_clause,[],[f18373]) ).
thf(f18376,definition,
( spl2_490
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_490])],[avatar_definition]) ).
thf(f18377,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_490 ),
inference(avatar_component_clause,[],[f18376]) ).
thf(f18380,definition,
( spl2_491
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_491])],[avatar_definition]) ).
thf(f18381,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_491 ),
inference(avatar_component_clause,[],[f18380]) ).
thf(f18383,definition,
( spl2_492
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_492])],[avatar_definition]) ).
thf(f18384,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_492 ),
inference(avatar_component_clause,[],[f18383]) ).
thf(f18388,definition,
( spl2_493
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_493])],[avatar_definition]) ).
thf(f18389,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_493 ),
inference(avatar_component_clause,[],[f18388]) ).
thf(f18392,definition,
( spl2_494
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_494])],[avatar_definition]) ).
thf(f18393,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_494 ),
inference(avatar_component_clause,[],[f18392]) ).
thf(f18418,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_386
| ~ spl2_490 ),
inference(constrained_superposition,[],[f15729,f18377]) ).
thf(f18420,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370
| ~ spl2_490 ),
inference(constrained_superposition,[],[f14950,f18377]) ).
thf(f18421,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_240
| ~ spl2_490 ),
inference(constrained_superposition,[],[f13265,f18377]) ).
thf(f18441,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_490 ),
inference(constrained_superposition,[],[f17422,f18377]) ).
thf(f18443,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_386
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18418]) ).
thf(f18454,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18441]) ).
thf(f18455,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18420]) ).
thf(f18462,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_240
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18421]) ).
thf(f18479,definition,
( spl2_497
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_497])],[avatar_definition]) ).
thf(f18480,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_497 ),
inference(avatar_component_clause,[],[f18479]) ).
thf(f18486,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| spl2_186
| ~ spl2_490 ),
inference(forward_subsumption_resolution,[],[f18454,f11053]) ).
thf(f18489,definition,
( spl2_499
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_499])],[avatar_definition]) ).
thf(f18490,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_499 ),
inference(avatar_component_clause,[],[f18489]) ).
thf(f18492,definition,
( spl2_500
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_500])],[avatar_definition]) ).
thf(f18493,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_500 ),
inference(avatar_component_clause,[],[f18492]) ).
thf(f18497,plain,
( spl2_204
| spl2_499
| spl2_500
| ~ spl2_8
| spl2_186
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f18486,f18376,f11052,f116,f18492,f18489,f11530]) ).
thf(f18500,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_386
| ~ spl2_490 ),
inference(constrained_superposition,[],[f18443,f84]) ).
thf(f18505,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_386
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18500]) ).
thf(f18508,definition,
( spl2_501
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_501])],[avatar_definition]) ).
thf(f18509,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_501 ),
inference(avatar_component_clause,[],[f18508]) ).
thf(f18511,plain,
( spl2_501
| ~ spl2_386
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f18505,f18376,f15728,f18508]) ).
thf(f18512,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_28
| ~ spl2_39
| ~ spl2_500 ),
inference(constrained_superposition,[],[f14540,f18493]) ).
thf(f18525,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_28
| ~ spl2_39
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f18512]) ).
thf(f18527,definition,
( spl2_502
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_502])],[avatar_definition]) ).
thf(f18528,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_502 ),
inference(avatar_component_clause,[],[f18527]) ).
thf(f18530,definition,
( spl2_503
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_503])],[avatar_definition]) ).
thf(f18531,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_503 ),
inference(avatar_component_clause,[],[f18530]) ).
thf(f18540,definition,
( spl2_504
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_504])],[avatar_definition]) ).
thf(f18541,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_504 ),
inference(avatar_component_clause,[],[f18540]) ).
thf(f18543,definition,
( spl2_505
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_505])],[avatar_definition]) ).
thf(f18544,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_505 ),
inference(avatar_component_clause,[],[f18543]) ).
thf(f18548,definition,
( spl2_506
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_506])],[avatar_definition]) ).
thf(f18549,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) )
| ~ spl2_506 ),
inference(avatar_component_clause,[],[f18548]) ).
thf(f18551,definition,
( spl2_507
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_507])],[avatar_definition]) ).
thf(f18552,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_507 ),
inference(avatar_component_clause,[],[f18551]) ).
thf(f18554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_501 ),
inference(constrained_superposition,[],[f17843,f18509]) ).
thf(f18555,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_501 ),
inference(constrained_superposition,[],[f17047,f18509]) ).
thf(f18560,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_501 ),
inference(constrained_superposition,[],[f848,f18509]) ).
thf(f18565,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f18554]) ).
thf(f18566,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f18555]) ).
thf(f18568,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f18560]) ).
thf(f18571,definition,
( spl2_508
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_508])],[avatar_definition]) ).
thf(f18572,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_508 ),
inference(avatar_component_clause,[],[f18571]) ).
thf(f18573,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_504 ),
inference(avatar_component_clause,[],[f18540]) ).
thf(f18576,definition,
( spl2_509
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_509])],[avatar_definition]) ).
thf(f18577,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_509 ),
inference(avatar_component_clause,[],[f18576]) ).
thf(f18578,plain,
( spl2_509
| spl2_205
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f18565,f18508,f13652,f10738,f8169,f126,f11533,f18576]) ).
thf(f18580,definition,
( spl2_510
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_510])],[avatar_definition]) ).
thf(f18581,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_510 ),
inference(avatar_component_clause,[],[f18580]) ).
thf(f18582,plain,
( spl2_509
| spl2_510
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f18566,f18508,f13652,f10738,f167,f126,f18580,f18576]) ).
thf(f18583,plain,
( ~ spl2_504
| spl2_509
| ~ spl2_9
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f18568,f18508,f126,f18576,f18540]) ).
thf(f18587,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_1
| spl2_504 ),
inference(constrained_superposition,[],[f18573,f17145]) ).
thf(f18588,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| spl2_504 ),
inference(constrained_superposition,[],[f18573,f215]) ).
thf(f18591,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| spl2_504 ),
inference(trivial_inequality_removal,[],[f18588]) ).
thf(f18592,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_1
| spl2_504 ),
inference(trivial_inequality_removal,[],[f18587]) ).
thf(f18595,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f18591,f40]) ).
thf(f18596,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_1
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f18592,f40]) ).
thf(f18597,plain,
( spl2_12
| spl2_507
| spl2_504 ),
inference(avatar_split_clause,[],[f18595,f18540,f18551,f170]) ).
thf(f18598,plain,
( spl2_507
| ~ spl2_1
| spl2_504 ),
inference(avatar_split_clause,[],[f18596,f18540,f65,f18551]) ).
thf(f18599,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_370
| ~ spl2_490 ),
inference(constrained_superposition,[],[f18455,f85]) ).
thf(f18601,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_370
| ~ spl2_490 ),
inference(constrained_superposition,[],[f18455,f27]) ).
thf(f18603,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_370
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18599]) ).
thf(f18604,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_370
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18601]) ).
thf(f18606,definition,
( spl2_511
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_511])],[avatar_definition]) ).
thf(f18607,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_511 ),
inference(avatar_component_clause,[],[f18606]) ).
thf(f18609,plain,
( spl2_161
| spl2_511
| ~ spl2_370
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f18603,f18376,f14949,f18606,f10802]) ).
thf(f18610,plain,
( spl2_511
| spl2_510
| ~ spl2_370
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f18604,f18376,f14949,f18580,f18606]) ).
thf(f18618,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_211
| ~ spl2_374
| ~ spl2_506 ),
inference(constrained_superposition,[],[f17720,f18549]) ).
thf(f18623,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_32
| ~ spl2_506 ),
inference(constrained_superposition,[],[f508,f18549]) ).
thf(f18625,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_506 ),
inference(constrained_superposition,[],[f527,f18549]) ).
thf(f18632,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_176
| ~ spl2_506 ),
inference(constrained_superposition,[],[f13038,f18549]) ).
thf(f18633,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_175
| ~ spl2_506 ),
inference(constrained_superposition,[],[f13199,f18549]) ).
thf(f18635,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_506 ),
inference(constrained_superposition,[],[f11043,f18549]) ).
thf(f18642,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_504
| ~ spl2_506 ),
inference(constrained_superposition,[],[f18573,f18549]) ).
thf(f18648,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_32
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18623]) ).
thf(f18651,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_504
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18642]) ).
thf(f18655,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_175
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18633]) ).
thf(f18658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18632]) ).
thf(f18665,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_211
| ~ spl2_374
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18618]) ).
thf(f18666,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18625]) ).
thf(f18672,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f18635]) ).
thf(f18682,definition,
( spl2_513
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_513])],[avatar_definition]) ).
thf(f18683,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_513 ),
inference(avatar_component_clause,[],[f18682]) ).
thf(f18693,definition,
( spl2_516
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_516])],[avatar_definition]) ).
thf(f18694,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_516 ),
inference(avatar_component_clause,[],[f18693]) ).
thf(f18695,plain,
( spl2_516
| spl2_508
| ~ spl2_32
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f18648,f18548,f507,f18571,f18693]) ).
thf(f18696,plain,
( $false
| spl2_504
| ~ spl2_506 ),
inference(forward_subsumption_resolution,[],[f18651,f40]) ).
thf(f18697,plain,
( spl2_504
| ~ spl2_506 ),
inference(avatar_contradiction_clause,[],[f18696]) ).
thf(f18700,definition,
( spl2_517
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_517])],[avatar_definition]) ).
thf(f18701,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_517 ),
inference(avatar_component_clause,[],[f18700]) ).
thf(f18703,definition,
( spl2_518
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_518])],[avatar_definition]) ).
thf(f18704,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_518 ),
inference(avatar_component_clause,[],[f18703]) ).
thf(f18705,plain,
( spl2_517
| spl2_518
| ~ spl2_175
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f18655,f18548,f10944,f18703,f18700]) ).
thf(f18710,definition,
( spl2_520
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_520])],[avatar_definition]) ).
thf(f18711,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_520 ),
inference(avatar_component_clause,[],[f18710]) ).
thf(f18714,definition,
( spl2_521
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_521])],[avatar_definition]) ).
thf(f18715,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_521 ),
inference(avatar_component_clause,[],[f18714]) ).
thf(f18716,plain,
( spl2_517
| spl2_521
| ~ spl2_176
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f18658,f18548,f10947,f18714,f18700]) ).
thf(f18723,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_211
| ~ spl2_374
| spl2_503
| ~ spl2_506 ),
inference(forward_subsumption_resolution,[],[f18665,f18531]) ).
thf(f18724,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_500
| ~ spl2_506 ),
inference(forward_subsumption_resolution,[],[f18666,f18493]) ).
thf(f18731,definition,
( spl2_524
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_524])],[avatar_definition]) ).
thf(f18732,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_524 ),
inference(avatar_component_clause,[],[f18731]) ).
thf(f18734,plain,
( spl2_517
| ~ spl2_520
| ~ spl2_183
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f18672,f18548,f11042,f18710,f18700]) ).
thf(f18740,plain,
( spl2_508
| spl2_205
| ~ spl2_211
| ~ spl2_374
| spl2_503
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f18723,f18548,f18530,f15038,f11912,f11533,f18571]) ).
thf(f18741,plain,
( spl2_508
| ~ spl2_37
| ~ spl2_500
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f18724,f18548,f18492,f526,f18571]) ).
thf(f18744,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_240
| ~ spl2_490 ),
inference(constrained_superposition,[],[f18462,f85]) ).
thf(f18748,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_240
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f18744]) ).
thf(f18751,definition,
( spl2_526
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_526])],[avatar_definition]) ).
thf(f18752,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_526 ),
inference(avatar_component_clause,[],[f18751]) ).
thf(f18754,plain,
( spl2_526
| spl2_161
| ~ spl2_240
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f18748,f18376,f13264,f10802,f18751]) ).
thf(f18757,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_263
| ~ spl2_511 ),
inference(constrained_superposition,[],[f13653,f18607]) ).
thf(f18758,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_511 ),
inference(constrained_superposition,[],[f11913,f18607]) ).
thf(f18768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_263
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f18757]) ).
thf(f18772,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f18758]) ).
thf(f18778,plain,
( ~ spl2_520
| ~ spl2_211
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f18772,f18606,f11912,f18710]) ).
thf(f18782,definition,
( spl2_527
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_527])],[avatar_definition]) ).
thf(f18783,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_527 ),
inference(avatar_component_clause,[],[f18782]) ).
thf(f18797,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_261
| ~ spl2_526 ),
inference(constrained_superposition,[],[f13608,f18752]) ).
thf(f18801,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_261
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f18797]) ).
thf(f18809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_261
| ~ spl2_500
| ~ spl2_526 ),
inference(forward_subsumption_resolution,[],[f18801,f18493]) ).
thf(f18811,plain,
( spl2_527
| ~ spl2_261
| ~ spl2_500
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f18809,f18751,f18492,f13607,f18782]) ).
thf(f18861,definition,
( spl2_528
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_528])],[avatar_definition]) ).
thf(f18862,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_528 ),
inference(avatar_component_clause,[],[f18861]) ).
thf(f18864,definition,
( spl2_529
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_529])],[avatar_definition]) ).
thf(f18865,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_529 ),
inference(avatar_component_clause,[],[f18864]) ).
thf(f18891,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_509
| ~ spl2_526 ),
inference(constrained_superposition,[],[f18577,f18752]) ).
thf(f18892,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_509 ),
inference(constrained_superposition,[],[f18577,f553]) ).
thf(f18893,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_509 ),
inference(constrained_superposition,[],[f18577,f6021]) ).
thf(f18899,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| ~ spl2_509 ),
inference(constrained_superposition,[],[f18577,f375]) ).
thf(f18900,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_391
| ~ spl2_509 ),
inference(constrained_superposition,[],[f18577,f16004]) ).
thf(f18904,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_509 ),
inference(trivial_inequality_removal,[],[f18892]) ).
thf(f18906,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_509
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f18891]) ).
thf(f18910,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| ~ spl2_509 ),
inference(trivial_inequality_removal,[],[f18899]) ).
thf(f18913,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_391
| ~ spl2_509 ),
inference(trivial_inequality_removal,[],[f18900]) ).
thf(f18914,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_123
| ~ spl2_509 ),
inference(trivial_inequality_removal,[],[f18893]) ).
thf(f18915,plain,
( $false
| ~ spl2_23
| ~ spl2_39
| ~ spl2_509 ),
inference(forward_subsumption_resolution,[],[f18904,f393]) ).
thf(f18916,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_509 ),
inference(avatar_contradiction_clause,[],[f18915]) ).
thf(f18918,plain,
( $false
| ~ spl2_163
| ~ spl2_509
| ~ spl2_526 ),
inference(forward_subsumption_resolution,[],[f18906,f15504]) ).
thf(f18919,plain,
( ~ spl2_163
| ~ spl2_509
| ~ spl2_526 ),
inference(avatar_contradiction_clause,[],[f18918]) ).
thf(f18925,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_23
| ~ spl2_509 ),
inference(forward_subsumption_resolution,[],[f18910,f393]) ).
thf(f18928,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163
| ~ spl2_391
| ~ spl2_509 ),
inference(forward_subsumption_resolution,[],[f18913,f15504]) ).
thf(f18929,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_23
| ~ spl2_123
| ~ spl2_509 ),
inference(forward_subsumption_resolution,[],[f18914,f393]) ).
thf(f18931,plain,
( spl2_508
| ~ spl2_18
| ~ spl2_23
| ~ spl2_509 ),
inference(avatar_split_clause,[],[f18925,f18576,f392,f374,f18571]) ).
thf(f18933,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163
| ~ spl2_391
| ~ spl2_509 ),
inference(forward_subsumption_resolution,[],[f18928,f40]) ).
thf(f18934,plain,
( spl2_204
| ~ spl2_23
| ~ spl2_123
| ~ spl2_509 ),
inference(avatar_split_clause,[],[f18929,f18576,f6020,f392,f11530]) ).
thf(f18940,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163
| ~ spl2_391
| spl2_504
| ~ spl2_509 ),
inference(forward_subsumption_resolution,[],[f18933,f18573]) ).
thf(f18941,plain,
( spl2_510
| ~ spl2_163
| ~ spl2_391
| spl2_504
| ~ spl2_509 ),
inference(avatar_split_clause,[],[f18940,f18576,f18540,f16003,f10818,f18580]) ).
thf(f18942,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_501 ),
inference(avatar_component_clause,[],[f18508]) ).
thf(f18943,plain,
( ~ spl2_501
| spl2_509
| ~ spl2_263
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f18768,f18606,f13652,f18576,f18508]) ).
thf(f18955,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_499
| ~ spl2_500 ),
inference(constrained_superposition,[],[f18493,f18490]) ).
thf(f18956,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_499
| spl2_503 ),
inference(constrained_superposition,[],[f18531,f18490]) ).
thf(f18975,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_499 ),
inference(constrained_superposition,[],[f83,f18490]) ).
thf(f18982,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_499 ),
inference(constrained_superposition,[],[f363,f18490]) ).
thf(f18985,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_499 ),
inference(constrained_superposition,[],[f1216,f18490]) ).
thf(f18992,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_39
| ~ spl2_499 ),
inference(constrained_superposition,[],[f14540,f18490]) ).
thf(f19048,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_499 ),
inference(constrained_superposition,[],[f15299,f18490]) ).
thf(f19066,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_39
| ~ spl2_499 ),
inference(duplicate_literal_removal,[],[f18992]) ).
thf(f19075,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_23
| spl2_28
| ~ spl2_39
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f19066,f393]) ).
thf(f19078,plain,
( $false
| spl2_6
| ~ spl2_499
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f18955,f106]) ).
thf(f19079,plain,
( spl2_6
| ~ spl2_499
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f19078]) ).
thf(f19081,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_69
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f18982,f1293]) ).
thf(f19082,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_8
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f19048,f40]) ).
thf(f19088,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f18985,f959]) ).
thf(f19092,plain,
( $false
| ~ spl2_43
| ~ spl2_499
| spl2_503 ),
inference(forward_subsumption_resolution,[],[f18956,f959]) ).
thf(f19093,plain,
( ~ spl2_43
| ~ spl2_499
| spl2_503 ),
inference(avatar_contradiction_clause,[],[f19092]) ).
thf(f19097,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_82
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f18975,f3445]) ).
thf(f19098,plain,
( spl2_172
| ~ spl2_23
| spl2_28
| ~ spl2_39
| ~ spl2_499 ),
inference(avatar_split_clause,[],[f19075,f18489,f552,f411,f392,f10878]) ).
thf(f19102,plain,
( spl2_40
| spl2_69
| ~ spl2_499 ),
inference(avatar_split_clause,[],[f19081,f18489,f1078,f555]) ).
thf(f19103,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_6
| ~ spl2_8
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f19082,f106]) ).
thf(f19106,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| spl2_82
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f19088,f3445]) ).
thf(f19112,plain,
( $false
| spl2_6
| spl2_82
| ~ spl2_499 ),
inference(forward_subsumption_resolution,[],[f19097,f106]) ).
thf(f19113,plain,
( spl2_6
| spl2_82
| ~ spl2_499 ),
inference(avatar_contradiction_clause,[],[f19112]) ).
thf(f19114,plain,
( spl2_350
| spl2_6
| ~ spl2_8
| ~ spl2_499 ),
inference(avatar_split_clause,[],[f19103,f18489,f116,f105,f14179]) ).
thf(f19115,plain,
( spl2_77
| ~ spl2_43
| spl2_82
| ~ spl2_499 ),
inference(avatar_split_clause,[],[f19106,f18489,f1476,f579,f1345]) ).
thf(f19117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_176
| ~ spl2_489 ),
inference(constrained_superposition,[],[f13038,f18374]) ).
thf(f19118,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_175
| ~ spl2_489 ),
inference(constrained_superposition,[],[f13199,f18374]) ).
thf(f19119,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192
| ~ spl2_489 ),
inference(constrained_superposition,[],[f15557,f18374]) ).
thf(f19120,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_489 ),
inference(constrained_superposition,[],[f11043,f18374]) ).
thf(f19127,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f19120]) ).
thf(f19128,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f19119]) ).
thf(f19130,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_176
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f19117]) ).
thf(f19137,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_175
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f19118]) ).
thf(f19138,plain,
( spl2_521
| ~ spl2_176
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f19130,f18373,f10947,f18714]) ).
thf(f19139,plain,
( spl2_518
| ~ spl2_175
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f19137,f18373,f10944,f18703]) ).
thf(f19141,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_527 ),
inference(constrained_superposition,[],[f18783,f553]) ).
thf(f19152,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_527 ),
inference(trivial_inequality_removal,[],[f19141]) ).
thf(f19162,plain,
( $false
| ~ spl2_39
| ~ spl2_527 ),
inference(forward_subsumption_resolution,[],[f19152,f553]) ).
thf(f19163,plain,
( ~ spl2_39
| ~ spl2_527 ),
inference(avatar_contradiction_clause,[],[f19162]) ).
thf(f19201,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_528 ),
inference(constrained_superposition,[],[f18862,f84]) ).
thf(f19210,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_528 ),
inference(trivial_inequality_removal,[],[f19201]) ).
thf(f19213,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_164
| ~ spl2_528 ),
inference(forward_subsumption_resolution,[],[f19210,f10823]) ).
thf(f19214,plain,
( $false
| ~ spl2_164
| spl2_501
| ~ spl2_528 ),
inference(forward_subsumption_resolution,[],[f19213,f18942]) ).
thf(f19215,plain,
( ~ spl2_164
| spl2_501
| ~ spl2_528 ),
inference(avatar_contradiction_clause,[],[f19214]) ).
thf(f19220,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_395
| ~ spl2_492 ),
inference(constrained_superposition,[],[f16116,f18384]) ).
thf(f19222,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_393
| ~ spl2_492 ),
inference(constrained_superposition,[],[f16054,f18384]) ).
thf(f19223,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_175
| ~ spl2_192
| ~ spl2_492 ),
inference(constrained_superposition,[],[f16051,f18384]) ).
thf(f19235,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_192
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f19223]) ).
thf(f19236,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_395
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f19220]) ).
thf(f19237,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_393
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f19222]) ).
thf(f19238,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_39
| ~ spl2_395
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f19236,f553]) ).
thf(f19240,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_39
| ~ spl2_139
| ~ spl2_395
| ~ spl2_492 ),
inference(constrained_superposition,[],[f19238,f8179]) ).
thf(f19252,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_39
| ~ spl2_139
| ~ spl2_395
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f19240]) ).
thf(f19262,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_39
| ~ spl2_139
| spl2_154
| ~ spl2_395
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f19252,f11063]) ).
thf(f19274,plain,
( ~ spl2_503
| spl2_502
| ~ spl2_192
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f19128,f18373,f11077,f18527,f18530]) ).
thf(f19275,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_503 ),
inference(avatar_component_clause,[],[f18530]) ).
thf(f19277,plain,
( ~ spl2_504
| ~ spl2_503
| ~ spl2_175
| ~ spl2_192
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f19235,f18383,f11077,f10944,f18530,f18540]) ).
thf(f19278,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_393
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f19237,f553]) ).
thf(f19279,plain,
( spl2_504
| spl2_205
| ~ spl2_39
| ~ spl2_139
| spl2_154
| ~ spl2_395
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f19262,f18383,f16115,f10738,f8169,f552,f11533,f18540]) ).
thf(f19283,plain,
( ~ spl2_504
| ~ spl2_39
| ~ spl2_393
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f19278,f18383,f16053,f552,f18540]) ).
thf(f19285,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_520 ),
inference(avatar_component_clause,[],[f18710]) ).
thf(f19287,definition,
( spl2_540
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_540])],[avatar_definition]) ).
thf(f19288,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_540 ),
inference(avatar_component_clause,[],[f19287]) ).
thf(f19290,plain,
( ~ spl2_520
| ~ spl2_183
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f19127,f18373,f11042,f18710]) ).
thf(f19296,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_176 ),
inference(forward_subsumption_resolution,[],[f15974,f553]) ).
thf(f19299,plain,
( spl2_183
| ~ spl2_21
| ~ spl2_39
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f15701,f10944,f552,f385,f11042]) ).
thf(f19305,definition,
( spl2_541
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_541])],[avatar_definition]) ).
thf(f19306,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_541 ),
inference(avatar_component_clause,[],[f19305]) ).
thf(f19315,plain,
( spl2_541
| spl2_28
| ~ spl2_39
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f18525,f18492,f552,f411,f19305]) ).
thf(f19320,plain,
( spl2_183
| ~ spl2_39
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f19296,f10947,f552,f11042]) ).
thf(f19333,plain,
( spl2_388
| ~ spl2_371
| ~ spl2_176
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f17036,f13652,f10947,f14996,f15794]) ).
thf(f19339,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_57 ),
inference(avatar_component_clause,[],[f819]) ).
thf(f19341,plain,
( ~ spl2_57
| ~ spl2_211
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f17007,f13671,f11912,f819]) ).
thf(f19348,definition,
( spl2_544
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_544])],[avatar_definition]) ).
thf(f19349,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_544 ),
inference(avatar_component_clause,[],[f19348]) ).
thf(f19383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_166 ),
inference(constrained_superposition,[],[f117,f10837]) ).
thf(f19387,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f89,f10837]) ).
thf(f19396,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f26,f10837]) ).
thf(f19397,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f55,f10837]) ).
thf(f19406,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f19397]) ).
thf(f19411,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f19387]) ).
thf(f19417,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f19396]) ).
thf(f19421,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f19383]) ).
thf(f19424,plain,
( spl2_360
| spl2_100
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f19411,f10836,f3443,f14507]) ).
thf(f19425,plain,
( spl2_544
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f19417,f10836,f19348]) ).
thf(f19427,plain,
( spl2_360
| ~ spl2_8
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f19421,f10836,f116,f14507]) ).
thf(f19428,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_371 ),
inference(constrained_superposition,[],[f17843,f14997]) ).
thf(f19429,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_371 ),
inference(constrained_superposition,[],[f17047,f14997]) ).
thf(f19432,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192
| ~ spl2_371 ),
inference(constrained_superposition,[],[f15557,f14997]) ).
thf(f19435,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_371 ),
inference(constrained_superposition,[],[f848,f14997]) ).
thf(f19437,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f19429]) ).
thf(f19438,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f19435]) ).
thf(f19443,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f19432]) ).
thf(f19445,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f19428]) ).
thf(f19446,plain,
( spl2_459
| spl2_388
| ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f19437,f14996,f13652,f10738,f167,f126,f15794,f16967]) ).
thf(f19448,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_192
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f19443,f959]) ).
thf(f19449,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| spl2_188
| ~ spl2_263
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f19445,f18255]) ).
thf(f19451,plain,
( spl2_77
| ~ spl2_43
| ~ spl2_192
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f19448,f14996,f11077,f579,f1345]) ).
thf(f19452,plain,
( spl2_388
| ~ spl2_9
| ~ spl2_139
| spl2_154
| spl2_188
| ~ spl2_263
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f19449,f14996,f13652,f11060,f10738,f8169,f126,f15794]) ).
thf(f19454,definition,
( spl2_547
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_547])],[avatar_definition]) ).
thf(f19455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_547 ),
inference(avatar_component_clause,[],[f19454]) ).
thf(f19462,definition,
( spl2_549
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_549])],[avatar_definition]) ).
thf(f19463,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_549 ),
inference(avatar_component_clause,[],[f19462]) ).
thf(f19466,definition,
( spl2_550
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_550])],[avatar_definition]) ).
thf(f19467,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_550 ),
inference(avatar_component_clause,[],[f19466]) ).
thf(f19472,definition,
( spl2_551
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_551])],[avatar_definition]) ).
thf(f19473,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( X1 = X2 ) )
| ~ spl2_551 ),
inference(avatar_component_clause,[],[f19472]) ).
thf(f19493,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_504 ),
inference(constrained_superposition,[],[f14532,f18541]) ).
thf(f19498,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f19493]) ).
thf(f19502,plain,
( spl2_541
| ~ spl2_21
| ~ spl2_39
| ~ spl2_504 ),
inference(avatar_split_clause,[],[f19498,f18540,f552,f385,f19305]) ).
thf(f19507,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_500
| ~ spl2_510 ),
inference(constrained_superposition,[],[f18493,f18581]) ).
thf(f19508,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_504
| ~ spl2_510 ),
inference(constrained_superposition,[],[f18541,f18581]) ).
thf(f19509,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_501
| ~ spl2_510 ),
inference(constrained_superposition,[],[f18942,f18581]) ).
thf(f19534,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_139
| ~ spl2_510 ),
inference(constrained_superposition,[],[f8172,f18581]) ).
thf(f19602,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_510 ),
inference(constrained_superposition,[],[f17843,f18581]) ).
thf(f19611,plain,
( ~ spl2_151
| spl2_207
| ~ spl2_139
| ~ spl2_510 ),
inference(avatar_split_clause,[],[f19534,f18580,f8169,f11798,f10722]) ).
thf(f19613,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_264
| ~ spl2_510 ),
inference(forward_subsumption_resolution,[],[f19602,f13672]) ).
thf(f19614,plain,
( $false
| ~ spl2_264
| spl2_501
| ~ spl2_510 ),
inference(forward_subsumption_resolution,[],[f19509,f13672]) ).
thf(f19615,plain,
( ~ spl2_264
| spl2_501
| ~ spl2_510 ),
inference(avatar_contradiction_clause,[],[f19614]) ).
thf(f19616,plain,
( $false
| spl2_163
| ~ spl2_500
| ~ spl2_510 ),
inference(forward_subsumption_resolution,[],[f19507,f10819]) ).
thf(f19617,plain,
( spl2_163
| ~ spl2_500
| ~ spl2_510 ),
inference(avatar_contradiction_clause,[],[f19616]) ).
thf(f19627,plain,
( $false
| spl2_154
| ~ spl2_504
| ~ spl2_510 ),
inference(forward_subsumption_resolution,[],[f19508,f11063]) ).
thf(f19628,plain,
( spl2_154
| ~ spl2_504
| ~ spl2_510 ),
inference(avatar_contradiction_clause,[],[f19627]) ).
thf(f19640,plain,
( spl2_472
| spl2_205
| ~ spl2_9
| ~ spl2_139
| spl2_154
| ~ spl2_263
| ~ spl2_264
| ~ spl2_510 ),
inference(avatar_split_clause,[],[f19613,f18580,f13671,f13652,f10738,f8169,f126,f11533,f17573]) ).
thf(f19646,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_176
| ~ spl2_178 ),
inference(constrained_superposition,[],[f13038,f10956]) ).
thf(f19647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_175
| ~ spl2_178 ),
inference(constrained_superposition,[],[f13199,f10956]) ).
thf(f19652,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f24,f10956]) ).
thf(f19653,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f19652]) ).
thf(f19654,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_175
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f19647]) ).
thf(f19655,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_176
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f19646]) ).
thf(f19661,plain,
( spl2_463
| ~ spl2_175
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f19654,f10955,f10944,f16988]) ).
thf(f19662,plain,
( spl2_458
| ~ spl2_176
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f19655,f10955,f10947,f16964]) ).
thf(f19668,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_520 ),
inference(constrained_superposition,[],[f508,f19285]) ).
thf(f19669,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_34
| ~ spl2_520 ),
inference(constrained_superposition,[],[f516,f19285]) ).
thf(f19670,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_520 ),
inference(constrained_superposition,[],[f527,f19285]) ).
thf(f19671,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_97
| ~ spl2_520 ),
inference(constrained_superposition,[],[f2567,f19285]) ).
thf(f19683,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_97
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f19671]) ).
thf(f19684,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f19670]) ).
thf(f19686,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f19669]) ).
thf(f19688,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f19668]) ).
thf(f19695,plain,
( spl2_524
| ~ spl2_97
| ~ spl2_520 ),
inference(avatar_split_clause,[],[f19683,f18710,f2566,f18731]) ).
thf(f19696,plain,
( $false
| ~ spl2_37
| ~ spl2_500
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f19684,f18493]) ).
thf(f19697,plain,
( ~ spl2_37
| ~ spl2_500
| ~ spl2_520 ),
inference(avatar_contradiction_clause,[],[f19696]) ).
thf(f19698,plain,
( $false
| ~ spl2_34
| ~ spl2_504
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f19686,f18541]) ).
thf(f19699,plain,
( ~ spl2_34
| ~ spl2_504
| ~ spl2_520 ),
inference(avatar_contradiction_clause,[],[f19698]) ).
thf(f19701,plain,
( spl2_516
| ~ spl2_32
| ~ spl2_520 ),
inference(avatar_split_clause,[],[f19688,f18710,f507,f18693]) ).
thf(f19705,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_23
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f16091,f393]) ).
thf(f19708,definition,
( spl2_556
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_556])],[avatar_definition]) ).
thf(f19709,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_556 ),
inference(avatar_component_clause,[],[f19708]) ).
thf(f19722,definition,
( spl2_559
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_559])],[avatar_definition]) ).
thf(f19723,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_559 ),
inference(avatar_component_clause,[],[f19722]) ).
thf(f19725,plain,
( ~ spl2_175
| spl2_388
| ~ spl2_9
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f19438,f14996,f126,f15794,f10944]) ).
thf(f19734,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_9
| ~ spl2_23
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f19705,f837]) ).
thf(f19737,plain,
( spl2_164
| ~ spl2_9
| ~ spl2_23
| ~ spl2_393 ),
inference(avatar_split_clause,[],[f19734,f16053,f392,f126,f10822]) ).
thf(f19740,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_264 ),
inference(avatar_component_clause,[],[f13671]) ).
thf(f19747,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f24,f10945]) ).
thf(f19753,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f19747]) ).
thf(f19776,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_362 ),
inference(constrained_superposition,[],[f14516,f10823]) ).
thf(f19777,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_164 ),
inference(constrained_superposition,[],[f15294,f10823]) ).
thf(f19778,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_164 ),
inference(constrained_superposition,[],[f117,f10823]) ).
thf(f19792,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f26,f10823]) ).
thf(f19793,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f55,f10823]) ).
thf(f19801,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_164
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f19776]) ).
thf(f19804,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f19793]) ).
thf(f19806,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f19777]) ).
thf(f19814,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f19792]) ).
thf(f19815,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f19778]) ).
thf(f19823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| spl2_28
| ~ spl2_39
| ~ spl2_186 ),
inference(constrained_superposition,[],[f14540,f14947]) ).
thf(f19824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_123
| ~ spl2_186 ),
inference(constrained_superposition,[],[f16190,f14947]) ).
thf(f19825,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_123
| ~ spl2_186 ),
inference(constrained_superposition,[],[f16234,f14947]) ).
thf(f19828,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_393 ),
inference(constrained_superposition,[],[f16054,f14947]) ).
thf(f19833,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_123
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f19824]) ).
thf(f19834,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_186
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f19828]) ).
thf(f19837,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_28
| ~ spl2_39
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f19823]) ).
thf(f19838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_123
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f19825]) ).
thf(f19841,plain,
( spl2_161
| spl2_183
| spl2_28
| ~ spl2_123
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f19833,f11052,f6020,f411,f11042,f10802]) ).
thf(f19842,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_9
| ~ spl2_186
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f19834,f837]) ).
thf(f19843,plain,
( spl2_183
| spl2_28
| ~ spl2_39
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f19837,f11052,f552,f411,f11042]) ).
thf(f19844,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_123
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f19838,f40]) ).
thf(f19846,plain,
( $false
| ~ spl2_9
| ~ spl2_23
| ~ spl2_186
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f19842,f393]) ).
thf(f19847,plain,
( ~ spl2_9
| ~ spl2_23
| ~ spl2_186
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f19846]) ).
thf(f19848,plain,
( spl2_183
| ~ spl2_39
| ~ spl2_123
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f19844,f11052,f6020,f552,f11042]) ).
thf(f19861,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_13
| spl2_504 ),
inference(constrained_superposition,[],[f18573,f219]) ).
thf(f19867,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_13
| spl2_504 ),
inference(trivial_inequality_removal,[],[f19861]) ).
thf(f19875,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_501 ),
inference(constrained_superposition,[],[f24,f18509]) ).
thf(f19876,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f19875]) ).
thf(f19880,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_540 ),
inference(constrained_superposition,[],[f19288,f194]) ).
thf(f19884,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_540 ),
inference(trivial_inequality_removal,[],[f19880]) ).
thf(f19895,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14508,f85]) ).
thf(f19898,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14508,f51]) ).
thf(f19904,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f19895]) ).
thf(f19905,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f19898]) ).
thf(f19931,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f553]) ).
thf(f19932,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f6021]) ).
thf(f19938,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_18
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f375]) ).
thf(f19941,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f19938]) ).
thf(f19948,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f19931]) ).
thf(f19949,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f19932]) ).
thf(f19952,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_23
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f19941,f393]) ).
thf(f19957,plain,
( $false
| ~ spl2_23
| ~ spl2_39
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f19948,f393]) ).
thf(f19958,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f19957]) ).
thf(f19959,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_23
| ~ spl2_123
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f19949,f393]) ).
thf(f19961,plain,
( spl2_205
| ~ spl2_18
| ~ spl2_23
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f19952,f15794,f392,f374,f11533]) ).
thf(f19962,plain,
( spl2_161
| ~ spl2_23
| ~ spl2_123
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f19959,f15794,f6020,f392,f10802]) ).
thf(f19974,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f15729,f85]) ).
thf(f19981,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f19974]) ).
thf(f19984,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_502 ),
inference(constrained_superposition,[],[f18528,f553]) ).
thf(f19985,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_123
| ~ spl2_502 ),
inference(constrained_superposition,[],[f18528,f6021]) ).
thf(f19988,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_501
| ~ spl2_502 ),
inference(constrained_superposition,[],[f18528,f18509]) ).
thf(f19992,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_18
| ~ spl2_502 ),
inference(constrained_superposition,[],[f18528,f375]) ).
thf(f19998,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_18
| ~ spl2_502 ),
inference(trivial_inequality_removal,[],[f19992]) ).
thf(f20000,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_501
| ~ spl2_502 ),
inference(trivial_inequality_removal,[],[f19988]) ).
thf(f20002,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_502 ),
inference(trivial_inequality_removal,[],[f19984]) ).
thf(f20003,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_123
| ~ spl2_502 ),
inference(trivial_inequality_removal,[],[f19985]) ).
thf(f20009,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_21
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f19998,f386]) ).
thf(f20010,plain,
( $false
| ~ spl2_9
| ~ spl2_501
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f20000,f837]) ).
thf(f20011,plain,
( ~ spl2_9
| ~ spl2_501
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f20010]) ).
thf(f20012,plain,
( $false
| ~ spl2_21
| ~ spl2_39
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f20002,f386]) ).
thf(f20013,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f20012]) ).
thf(f20014,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_21
| ~ spl2_123
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f20003,f386]) ).
thf(f20015,plain,
( spl2_508
| ~ spl2_18
| ~ spl2_21
| ~ spl2_502 ),
inference(avatar_split_clause,[],[f20009,f18527,f385,f374,f18571]) ).
thf(f20016,plain,
( spl2_204
| ~ spl2_21
| ~ spl2_123
| ~ spl2_502 ),
inference(avatar_split_clause,[],[f20014,f18527,f6020,f385,f11530]) ).
thf(f20019,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_362
| ~ spl2_513 ),
inference(constrained_superposition,[],[f14516,f18683]) ).
thf(f20021,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_513 ),
inference(constrained_superposition,[],[f117,f18683]) ).
thf(f20025,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f89,f18683]) ).
thf(f20040,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f20025]) ).
thf(f20049,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f20021]) ).
thf(f20054,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_362
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f20019]) ).
thf(f20062,definition,
( spl2_564
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_564])],[avatar_definition]) ).
thf(f20063,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_564 ),
inference(avatar_component_clause,[],[f20062]) ).
thf(f20064,plain,
( spl2_100
| spl2_564
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f20040,f18682,f20062,f3443]) ).
thf(f20070,definition,
( spl2_566
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_566])],[avatar_definition]) ).
thf(f20071,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_566 ),
inference(avatar_component_clause,[],[f20070]) ).
thf(f20073,plain,
( spl2_564
| ~ spl2_8
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f20049,f18682,f116,f20062]) ).
thf(f20074,plain,
( spl2_511
| spl2_510
| ~ spl2_362
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f20054,f18682,f14515,f18580,f18606]) ).
thf(f20085,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_511 ),
inference(constrained_superposition,[],[f24,f18607]) ).
thf(f20090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f20085]) ).
thf(f20127,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_365
| ~ spl2_491 ),
inference(constrained_superposition,[],[f14792,f18381]) ).
thf(f20128,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_491 ),
inference(constrained_superposition,[],[f15299,f18381]) ).
thf(f20138,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_491 ),
inference(constrained_superposition,[],[f17422,f18381]) ).
thf(f20141,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f20128]) ).
thf(f20145,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f20138]) ).
thf(f20147,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_365
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f20127]) ).
thf(f20162,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_491
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f20141,f18683]) ).
thf(f20165,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| spl2_186
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f20145,f11053]) ).
thf(f20166,plain,
( $false
| ~ spl2_365
| ~ spl2_491
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f20147,f18683]) ).
thf(f20167,plain,
( ~ spl2_365
| ~ spl2_491
| ~ spl2_513 ),
inference(avatar_contradiction_clause,[],[f20166]) ).
thf(f20175,definition,
( spl2_568
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_568])],[avatar_definition]) ).
thf(f20176,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_568 ),
inference(avatar_component_clause,[],[f20175]) ).
thf(f20179,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| spl2_186
| ~ spl2_491
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f20162,f11053]) ).
thf(f20180,plain,
( spl2_204
| spl2_500
| spl2_499
| ~ spl2_8
| spl2_186
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f20165,f18380,f11052,f116,f18489,f18492,f11530]) ).
thf(f20183,definition,
( spl2_569
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_569])],[avatar_definition]) ).
thf(f20184,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_569 ),
inference(avatar_component_clause,[],[f20183]) ).
thf(f20186,plain,
( $false
| ~ spl2_8
| spl2_186
| ~ spl2_491
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f20179,f40]) ).
thf(f20187,plain,
( ~ spl2_8
| spl2_186
| ~ spl2_491
| ~ spl2_513 ),
inference(avatar_contradiction_clause,[],[f20186]) ).
thf(f20198,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_176
| ~ spl2_192 ),
inference(constrained_superposition,[],[f13038,f11078]) ).
thf(f20201,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f24,f11078]) ).
thf(f20204,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f20201]) ).
thf(f20205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_176
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f20198]) ).
thf(f20207,plain,
( spl2_550
| ~ spl2_176
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f20205,f11077,f10947,f19466]) ).
thf(f20212,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_569 ),
inference(constrained_superposition,[],[f20184,f50]) ).
thf(f20215,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_569 ),
inference(trivial_inequality_removal,[],[f20212]) ).
thf(f20217,plain,
( spl2_503
| spl2_569 ),
inference(avatar_split_clause,[],[f20215,f20183,f18530]) ).
thf(f20234,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_500 ),
inference(constrained_superposition,[],[f24,f18493]) ).
thf(f20236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f20234]) ).
thf(f20250,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_183 ),
inference(constrained_superposition,[],[f11043,f10956]) ).
thf(f20253,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_183 ),
inference(constrained_superposition,[],[f11043,f8179]) ).
thf(f20266,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_178
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f20250]) ).
thf(f20272,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f20253]) ).
thf(f20285,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f553]) ).
thf(f20298,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f20285]) ).
thf(f20336,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_528 ),
inference(constrained_superposition,[],[f18862,f50]) ).
thf(f20339,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_528 ),
inference(trivial_inequality_removal,[],[f20336]) ).
thf(f20346,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f84]) ).
thf(f20349,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f50]) ).
thf(f20352,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f20346]) ).
thf(f20355,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f20349]) ).
thf(f20356,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_264
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f20352,f19740]) ).
thf(f20357,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_185
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f20355,f15520]) ).
thf(f20361,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_185
| ~ spl2_544 ),
inference(constrained_superposition,[],[f20357,f85]) ).
thf(f20366,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_185
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f20361]) ).
thf(f20382,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_264
| ~ spl2_544 ),
inference(constrained_superposition,[],[f20356,f51]) ).
thf(f20384,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| spl2_264
| ~ spl2_544 ),
inference(constrained_superposition,[],[f20356,f85]) ).
thf(f20387,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_264
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f20382]) ).
thf(f20392,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_264
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f20384]) ).
thf(f20393,plain,
( spl2_361
| spl2_264
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f20387,f19348,f13671,f14511]) ).
thf(f20445,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_192 ),
inference(constrained_superposition,[],[f20204,f10956]) ).
thf(f20456,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f20445]) ).
thf(f20474,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f19814,f84]) ).
thf(f20477,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f19814,f50]) ).
thf(f20479,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f20477]) ).
thf(f20480,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f20474]) ).
thf(f20575,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_139
| ~ spl2_501 ),
inference(constrained_superposition,[],[f19876,f8179]) ).
thf(f20584,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f20575]) ).
thf(f20595,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_501
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f20584,f18573]) ).
thf(f20603,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f20595,f848]) ).
thf(f20641,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_175
| ~ spl2_192 ),
inference(constrained_superposition,[],[f19753,f11078]) ).
thf(f20658,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_175
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f20641]) ).
thf(f20661,plain,
( spl2_547
| ~ spl2_175
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f20658,f11077,f10944,f19454]) ).
thf(f20704,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_521 ),
inference(constrained_superposition,[],[f18715,f83]) ).
thf(f20724,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f20704]) ).
thf(f20731,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f19653,f10956]) ).
thf(f20736,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_192 ),
inference(constrained_superposition,[],[f19653,f11078]) ).
thf(f20743,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_178
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f20736]) ).
thf(f20746,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f20731]) ).
thf(f20747,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f20746]) ).
thf(f20764,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_164
| ~ spl2_490 ),
inference(constrained_superposition,[],[f19814,f18377]) ).
thf(f20766,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_490
| ~ spl2_549 ),
inference(constrained_superposition,[],[f19463,f18377]) ).
thf(f20776,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_490
| ~ spl2_564 ),
inference(constrained_superposition,[],[f20063,f18377]) ).
thf(f20789,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_490
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f20776]) ).
thf(f20800,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_164
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f20764]) ).
thf(f20808,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_490
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f20766]) ).
thf(f20814,plain,
( $false
| ~ spl2_164
| ~ spl2_490
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f20789,f10823]) ).
thf(f20815,plain,
( ~ spl2_164
| ~ spl2_490
| ~ spl2_564 ),
inference(avatar_contradiction_clause,[],[f20814]) ).
thf(f20820,plain,
( spl2_497
| ~ spl2_164
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f20800,f18376,f10822,f18479]) ).
thf(f20822,plain,
( ~ spl2_569
| ~ spl2_490
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f20808,f19462,f18376,f20183]) ).
thf(f20826,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_489 ),
inference(constrained_superposition,[],[f19653,f18374]) ).
thf(f20840,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f20826]) ).
thf(f20853,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_526 ),
inference(avatar_component_clause,[],[f18751]) ).
thf(f20854,plain,
( spl2_527
| ~ spl2_526
| ~ spl2_178
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f20840,f18373,f10955,f18751,f18782]) ).
thf(f20857,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f8179]) ).
thf(f20864,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| spl2_526 ),
inference(trivial_inequality_removal,[],[f20857]) ).
thf(f20868,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_154
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f20864,f11063]) ).
thf(f20871,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| spl2_154
| spl2_504
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f20868,f18573]) ).
thf(f20874,plain,
( spl2_205
| ~ spl2_139
| spl2_154
| spl2_504
| spl2_526 ),
inference(avatar_split_clause,[],[f20871,f18751,f18540,f10738,f8169,f11533]) ).
thf(f20877,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_526
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f18752]) ).
thf(f20883,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_526 ),
inference(constrained_superposition,[],[f24,f18752]) ).
thf(f20888,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_526
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f20877]) ).
thf(f20889,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f20883]) ).
thf(f20911,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f26,f18377]) ).
thf(f20922,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f20911]) ).
thf(f20971,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_568 ),
inference(constrained_superposition,[],[f20176,f50]) ).
thf(f20978,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_568 ),
inference(trivial_inequality_removal,[],[f20971]) ).
thf(f20987,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f20922,f50]) ).
thf(f20992,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f20987]) ).
thf(f20995,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_490
| spl2_503 ),
inference(forward_subsumption_resolution,[],[f20992,f18531]) ).
thf(f20996,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_490
| spl2_503 ),
inference(constrained_superposition,[],[f20995,f27]) ).
thf(f21007,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_490
| spl2_503 ),
inference(trivial_inequality_removal,[],[f20996]) ).
thf(f21022,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_500 ),
inference(constrained_superposition,[],[f20236,f17145]) ).
thf(f21031,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f21022]) ).
thf(f21040,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f21031,f40]) ).
thf(f21044,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_1
| ~ spl2_43
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f21040,f959]) ).
thf(f21046,definition,
( spl2_574
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_574])],[avatar_definition]) ).
thf(f21047,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_574 ),
inference(avatar_component_clause,[],[f21046]) ).
thf(f21049,plain,
( spl2_507
| spl2_502
| ~ spl2_1
| ~ spl2_43
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f21044,f18492,f579,f65,f18527,f18551]) ).
thf(f21050,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_526 ),
inference(constrained_superposition,[],[f20889,f18752]) ).
thf(f21063,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_526 ),
inference(duplicate_literal_removal,[],[f21050]) ).
thf(f21064,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f21063]) ).
thf(f21081,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_511 ),
inference(constrained_superposition,[],[f20090,f18607]) ).
thf(f21103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f21081]) ).
thf(f21125,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_520
| ~ spl2_529 ),
inference(constrained_superposition,[],[f18711,f18865]) ).
thf(f21128,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_211
| ~ spl2_374
| ~ spl2_529 ),
inference(constrained_superposition,[],[f17720,f18865]) ).
thf(f21140,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_529 ),
inference(constrained_superposition,[],[f19653,f18865]) ).
thf(f21161,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_529 ),
inference(trivial_inequality_removal,[],[f21140]) ).
thf(f21162,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_211
| ~ spl2_374
| ~ spl2_529 ),
inference(trivial_inequality_removal,[],[f21128]) ).
thf(f21169,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_520
| ~ spl2_529 ),
inference(trivial_inequality_removal,[],[f21125]) ).
thf(f21193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_526
| ~ spl2_529 ),
inference(forward_subsumption_resolution,[],[f21161,f18752]) ).
thf(f21194,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_211
| ~ spl2_374
| spl2_503
| ~ spl2_529 ),
inference(forward_subsumption_resolution,[],[f21162,f18531]) ).
thf(f21198,plain,
( spl2_204
| spl2_520
| ~ spl2_529 ),
inference(avatar_split_clause,[],[f21169,f18864,f18710,f11530]) ).
thf(f21203,plain,
( spl2_459
| spl2_527
| ~ spl2_178
| ~ spl2_526
| ~ spl2_529 ),
inference(avatar_split_clause,[],[f21193,f18864,f18751,f10955,f18782,f16967]) ).
thf(f21204,plain,
( spl2_204
| spl2_205
| ~ spl2_211
| ~ spl2_374
| spl2_503
| ~ spl2_529 ),
inference(avatar_split_clause,[],[f21194,f18864,f18530,f15038,f11912,f11533,f11530]) ).
thf(f21334,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_166 ),
inference(extensionality_resolution,[],[f19406,f48]) ).
thf(f21336,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_166 ),
inference(extensionality_resolution,[],[f19406,f40]) ).
thf(f21356,definition,
( spl2_576
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_576])],[avatar_definition]) ).
thf(f21357,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_576 ),
inference(avatar_component_clause,[],[f21356]) ).
thf(f21369,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_361 ),
inference(constrained_superposition,[],[f14512,f51]) ).
thf(f21370,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_361 ),
inference(constrained_superposition,[],[f14512,f10823]) ).
thf(f21372,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f21369]) ).
thf(f21373,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_164
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f21370]) ).
thf(f21380,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f19905,f51]) ).
thf(f21384,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f21380]) ).
thf(f21599,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_164 ),
inference(extensionality_resolution,[],[f19804,f40]) ).
thf(f21603,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_164
| spl2_188 ),
inference(extensionality_resolution,[],[f19804,f18255]) ).
thf(f21605,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f19804,f193]) ).
thf(f21609,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f19804,f49]) ).
thf(f21616,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f21605]) ).
thf(f21618,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f21609]) ).
thf(f21620,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_180 ),
inference(avatar_component_clause,[],[f10967]) ).
thf(f21628,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f21599,f193]) ).
thf(f21638,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f21628]) ).
thf(f21899,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_183
| ~ spl2_360 ),
inference(constrained_superposition,[],[f11043,f21384]) ).
thf(f21903,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_360
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f21384]) ).
thf(f21914,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f21903]) ).
thf(f21939,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_183
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f21899]) ).
thf(f21967,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_213
| ~ spl2_511 ),
inference(constrained_superposition,[],[f20090,f12152]) ).
thf(f21969,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_213
| ~ spl2_521 ),
inference(constrained_superposition,[],[f18715,f12152]) ).
thf(f21987,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_213
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f21967]) ).
thf(f22000,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_213
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f21969]) ).
thf(f22005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_176
| ~ spl2_213
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f21987,f10948]) ).
thf(f22011,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_176
| ~ spl2_213
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f22000,f10948]) ).
thf(f22015,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_213
| spl2_504
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f22005,f18573]) ).
thf(f22023,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_213
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f22011,f40]) ).
thf(f22027,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_213
| spl2_504
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f22015,f40]) ).
thf(f22033,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_213
| spl2_504
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f22023,f18573]) ).
thf(f22036,definition,
( spl2_579
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_579])],[avatar_definition]) ).
thf(f22037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_579 ),
inference(avatar_component_clause,[],[f22036]) ).
thf(f22038,plain,
( spl2_579
| spl2_517
| ~ spl2_176
| ~ spl2_213
| spl2_504
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f22027,f18606,f18540,f12151,f10947,f18700,f22036]) ).
thf(f22040,definition,
( spl2_580
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_580])],[avatar_definition]) ).
thf(f22041,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_580 ),
inference(avatar_component_clause,[],[f22040]) ).
thf(f22042,plain,
( spl2_517
| ~ spl2_580
| ~ spl2_176
| ~ spl2_213
| spl2_504
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f22033,f18714,f18540,f12151,f10947,f22040,f18700]) ).
thf(f22044,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_526
| ~ spl2_579 ),
inference(constrained_superposition,[],[f22037,f18752]) ).
thf(f22046,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_579 ),
inference(constrained_superposition,[],[f22037,f553]) ).
thf(f22060,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_526
| ~ spl2_579 ),
inference(trivial_inequality_removal,[],[f22044]) ).
thf(f22069,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_579 ),
inference(trivial_inequality_removal,[],[f22046]) ).
thf(f22072,plain,
( $false
| ~ spl2_178
| ~ spl2_526
| ~ spl2_579 ),
inference(forward_subsumption_resolution,[],[f22060,f10956]) ).
thf(f22073,plain,
( ~ spl2_178
| ~ spl2_526
| ~ spl2_579 ),
inference(avatar_contradiction_clause,[],[f22072]) ).
thf(f22083,plain,
( $false
| ~ spl2_39
| ~ spl2_579 ),
inference(forward_subsumption_resolution,[],[f22069,f553]) ).
thf(f22084,plain,
( ~ spl2_39
| ~ spl2_579 ),
inference(avatar_contradiction_clause,[],[f22083]) ).
thf(f22096,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_500
| ~ spl2_517 ),
inference(constrained_superposition,[],[f18493,f18701]) ).
thf(f22097,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_501
| ~ spl2_517 ),
inference(constrained_superposition,[],[f18509,f18701]) ).
thf(f22109,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_365
| ~ spl2_491
| ~ spl2_517 ),
inference(constrained_superposition,[],[f20147,f18701]) ).
thf(f22115,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_490
| spl2_503
| ~ spl2_517 ),
inference(constrained_superposition,[],[f20995,f18701]) ).
thf(f22249,plain,
( spl2_549
| ~ spl2_490
| spl2_503
| ~ spl2_517 ),
inference(avatar_split_clause,[],[f22115,f18700,f18530,f18376,f19462]) ).
thf(f22254,plain,
( $false
| ~ spl2_164
| ~ spl2_365
| ~ spl2_491
| ~ spl2_517 ),
inference(forward_subsumption_resolution,[],[f22109,f10823]) ).
thf(f22255,plain,
( ~ spl2_164
| ~ spl2_365
| ~ spl2_491
| ~ spl2_517 ),
inference(avatar_contradiction_clause,[],[f22254]) ).
thf(f22256,plain,
( $false
| spl2_371
| ~ spl2_501
| ~ spl2_517 ),
inference(forward_subsumption_resolution,[],[f22097,f15796]) ).
thf(f22257,plain,
( spl2_371
| ~ spl2_501
| ~ spl2_517 ),
inference(avatar_contradiction_clause,[],[f22256]) ).
thf(f22263,plain,
( $false
| spl2_186
| ~ spl2_500
| ~ spl2_517 ),
inference(forward_subsumption_resolution,[],[f22096,f11053]) ).
thf(f22264,plain,
( spl2_186
| ~ spl2_500
| ~ spl2_517 ),
inference(avatar_contradiction_clause,[],[f22263]) ).
thf(f22351,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_511
| ~ spl2_556 ),
inference(constrained_superposition,[],[f20090,f19709]) ).
thf(f22378,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_511
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f22351]) ).
thf(f22386,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_511
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f22378,f10948]) ).
thf(f22387,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_176
| spl2_503
| ~ spl2_511
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f22386,f18531]) ).
thf(f22388,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_176
| spl2_503
| ~ spl2_511
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f22387,f40]) ).
thf(f22389,plain,
( spl2_517
| spl2_579
| ~ spl2_176
| spl2_503
| ~ spl2_511
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f22388,f19708,f18606,f18530,f10947,f22036,f18700]) ).
thf(f22406,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f17425,f27]) ).
thf(f22414,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f22406]) ).
thf(f22433,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_366 ),
inference(constrained_superposition,[],[f14796,f27]) ).
thf(f22437,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f22433]) ).
thf(f22441,plain,
( spl2_325
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f22437,f14795,f13955]) ).
thf(f22444,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166
| ~ spl2_365 ),
inference(constrained_superposition,[],[f15286,f10837]) ).
thf(f22449,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f22444]) ).
thf(f22452,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f19904,f51]) ).
thf(f22454,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f22452]) ).
thf(f22457,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f22454,f40]) ).
thf(f22503,definition,
( spl2_584
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_584])],[avatar_definition]) ).
thf(f22504,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_584 ),
inference(avatar_component_clause,[],[f22503]) ).
thf(f22510,plain,
( ~ spl2_191
| ~ spl2_178
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f20266,f11042,f10955,f11073]) ).
thf(f22512,plain,
( spl2_180
| spl2_176
| spl2_188 ),
inference(avatar_split_clause,[],[f18367,f11060,f10947,f10967]) ).
thf(f22524,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| spl2_188
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f21939,f18255]) ).
thf(f22526,plain,
( spl2_459
| spl2_176
| ~ spl2_166
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f22449,f14791,f10836,f10947,f16967]) ).
thf(f22528,definition,
( spl2_587
<=> ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_587])],[avatar_definition]) ).
thf(f22529,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_587 ),
inference(avatar_component_clause,[],[f22528]) ).
thf(f22531,definition,
( spl2_588
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_588])],[avatar_definition]) ).
thf(f22532,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_588 ),
inference(avatar_component_clause,[],[f22531]) ).
thf(f22533,plain,
( spl2_587
| ~ spl2_588
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f21064,f18751,f22531,f22528]) ).
thf(f22535,plain,
( spl2_176
| spl2_459
| ~ spl2_164
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f19801,f14515,f10822,f16967,f10947]) ).
thf(f22544,plain,
( spl2_587
| ~ spl2_588
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f20747,f10955,f22531,f22528]) ).
thf(f22548,plain,
( ~ spl2_588
| spl2_527
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f21103,f18606,f18782,f22531]) ).
thf(f22551,plain,
( ~ spl2_191
| ~ spl2_526
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f20888,f19305,f18751,f11073]) ).
thf(f22555,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_176 ),
inference(avatar_component_clause,[],[f10947]) ).
thf(f22558,plain,
( ~ spl2_180
| ~ spl2_227
| spl2_191
| ~ spl2_164
| spl2_188 ),
inference(avatar_split_clause,[],[f21603,f11060,f10822,f11073,f12904,f10967]) ).
thf(f22569,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_164
| spl2_188
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f21373,f18255]) ).
thf(f22585,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183
| spl2_186
| spl2_188
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f22524,f11053]) ).
thf(f22621,plain,
( spl2_176
| ~ spl2_164
| spl2_188
| ~ spl2_361 ),
inference(avatar_split_clause,[],[f22569,f14511,f11060,f10822,f10947]) ).
thf(f22641,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| spl2_186
| spl2_188
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f22585,f40]) ).
thf(f22655,plain,
( ~ spl2_191
| ~ spl2_183
| spl2_186
| spl2_188
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f22641,f14507,f11060,f11052,f11042,f11073]) ).
thf(f22660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_175
| ~ spl2_459 ),
inference(constrained_superposition,[],[f10945,f16968]) ).
thf(f22666,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_221
| ~ spl2_459 ),
inference(constrained_superposition,[],[f12811,f16968]) ).
thf(f22669,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_386
| ~ spl2_459 ),
inference(constrained_superposition,[],[f15729,f16968]) ).
thf(f22675,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_459
| ~ spl2_490 ),
inference(constrained_superposition,[],[f18377,f16968]) ).
thf(f22676,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_459
| ~ spl2_491 ),
inference(constrained_superposition,[],[f18381,f16968]) ).
thf(f22678,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_459
| ~ spl2_500 ),
inference(constrained_superposition,[],[f18493,f16968]) ).
thf(f22680,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_459
| spl2_503 ),
inference(constrained_superposition,[],[f18531,f16968]) ).
thf(f22682,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_459
| ~ spl2_511 ),
inference(constrained_superposition,[],[f18607,f16968]) ).
thf(f22699,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_365
| ~ spl2_459
| ~ spl2_491 ),
inference(constrained_superposition,[],[f20147,f16968]) ).
thf(f22701,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_192
| ~ spl2_459 ),
inference(constrained_superposition,[],[f20204,f16968]) ).
thf(f22735,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_459 ),
inference(constrained_superposition,[],[f8172,f16968]) ).
thf(f22739,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_374
| ~ spl2_459 ),
inference(constrained_superposition,[],[f15253,f16968]) ).
thf(f22745,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_360
| ~ spl2_459 ),
inference(constrained_superposition,[],[f19904,f16968]) ).
thf(f22824,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_360
| ~ spl2_459 ),
inference(constrained_superposition,[],[f19905,f16968]) ).
thf(f22861,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_22
| ~ spl2_374
| ~ spl2_459 ),
inference(forward_subsumption_resolution,[],[f22739,f10844]) ).
thf(f22863,plain,
( spl2_482
| ~ spl2_192
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22701,f16967,f11077,f18301]) ).
thf(f22865,plain,
( spl2_464
| ~ spl2_386
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22669,f16967,f15728,f16995]) ).
thf(f22866,plain,
( spl2_179
| ~ spl2_459
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f22676,f18380,f16967,f10963]) ).
thf(f22870,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_22
| ~ spl2_360
| ~ spl2_459 ),
inference(forward_subsumption_resolution,[],[f22745,f10844]) ).
thf(f22875,plain,
( $false
| ~ spl2_192
| ~ spl2_459
| spl2_503 ),
inference(forward_subsumption_resolution,[],[f22680,f11078]) ).
thf(f22876,plain,
( ~ spl2_192
| ~ spl2_459
| spl2_503 ),
inference(avatar_contradiction_clause,[],[f22875]) ).
thf(f22878,plain,
( $false
| spl2_154
| ~ spl2_175
| ~ spl2_459 ),
inference(forward_subsumption_resolution,[],[f22660,f11063]) ).
thf(f22879,plain,
( spl2_154
| ~ spl2_175
| ~ spl2_459 ),
inference(avatar_contradiction_clause,[],[f22878]) ).
thf(f22880,plain,
( spl2_176
| ~ spl2_459
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f22682,f18606,f16967,f10947]) ).
thf(f22881,plain,
( $false
| ~ spl2_164
| ~ spl2_365
| ~ spl2_459
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f22699,f10823]) ).
thf(f22882,plain,
( ~ spl2_164
| ~ spl2_365
| ~ spl2_459
| ~ spl2_491 ),
inference(avatar_contradiction_clause,[],[f22881]) ).
thf(f22885,plain,
( ~ spl2_191
| spl2_221
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22666,f16967,f12810,f11073]) ).
thf(f22886,plain,
( ~ spl2_151
| spl2_200
| ~ spl2_139
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22735,f16967,f8169,f11401,f10722]) ).
thf(f22887,plain,
( spl2_180
| ~ spl2_459
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f22675,f18376,f16967,f10967]) ).
thf(f22895,plain,
( $false
| spl2_186
| ~ spl2_459
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f22678,f11053]) ).
thf(f22896,plain,
( spl2_186
| ~ spl2_459
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f22895]) ).
thf(f22902,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_166
| ~ spl2_360
| ~ spl2_459 ),
inference(forward_subsumption_resolution,[],[f22824,f10837]) ).
thf(f22913,plain,
( spl2_588
| ~ spl2_234
| spl2_22
| ~ spl2_374
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22861,f16967,f15038,f389,f12935,f22531]) ).
thf(f22916,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_22
| ~ spl2_166
| ~ spl2_360
| ~ spl2_459 ),
inference(forward_subsumption_resolution,[],[f22870,f10837]) ).
thf(f22924,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166
| spl2_188
| ~ spl2_360
| ~ spl2_459 ),
inference(forward_subsumption_resolution,[],[f22902,f18255]) ).
thf(f22930,plain,
( spl2_588
| spl2_22
| ~ spl2_166
| ~ spl2_360
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22916,f16967,f14507,f10836,f389,f22531]) ).
thf(f22935,plain,
( spl2_588
| ~ spl2_166
| spl2_188
| ~ spl2_360
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f22924,f16967,f14507,f11060,f10836,f22531]) ).
thf(f22956,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_176
| ~ spl2_547 ),
inference(constrained_superposition,[],[f19455,f10948]) ).
thf(f22978,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_176
| ~ spl2_547 ),
inference(trivial_inequality_removal,[],[f22956]) ).
thf(f23014,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_191
| ~ spl2_230 ),
inference(constrained_superposition,[],[f11074,f12919]) ).
thf(f23019,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_163
| ~ spl2_230 ),
inference(constrained_superposition,[],[f10819,f12919]) ).
thf(f23055,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_191
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f23014]) ).
thf(f23084,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_163
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f23019]) ).
thf(f23093,plain,
( $false
| spl2_22
| spl2_191
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f23055,f10844]) ).
thf(f23094,plain,
( spl2_22
| spl2_191
| ~ spl2_230 ),
inference(avatar_contradiction_clause,[],[f23093]) ).
thf(f23099,plain,
( $false
| spl2_163
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f23084,f40]) ).
thf(f23100,plain,
( spl2_163
| ~ spl2_230 ),
inference(avatar_contradiction_clause,[],[f23099]) ).
thf(f23117,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_200
| spl2_588 ),
inference(constrained_superposition,[],[f22532,f11402]) ).
thf(f23169,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_200
| spl2_588 ),
inference(trivial_inequality_removal,[],[f23117]) ).
thf(f23176,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_154
| ~ spl2_200
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f23169,f11063]) ).
thf(f23177,plain,
( $false
| spl2_22
| spl2_154
| ~ spl2_200
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f23176,f10844]) ).
thf(f23178,plain,
( spl2_22
| spl2_154
| ~ spl2_200
| spl2_588 ),
inference(avatar_contradiction_clause,[],[f23177]) ).
thf(f23261,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_360 ),
inference(constrained_superposition,[],[f20204,f22457]) ).
thf(f23307,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f23261]) ).
thf(f23403,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ X0 ) ) )
| spl2_264
| ~ spl2_544 ),
inference(constrained_superposition,[],[f20392,f51]) ).
thf(f23406,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_264
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f23403]) ).
thf(f23408,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_264
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f23406,f40]) ).
thf(f23410,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_211
| spl2_264
| ~ spl2_544 ),
inference(constrained_superposition,[],[f11913,f23408]) ).
thf(f23419,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_264
| ~ spl2_544
| ~ spl2_547 ),
inference(constrained_superposition,[],[f19455,f23408]) ).
thf(f23433,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_264
| ~ spl2_544
| ~ spl2_547 ),
inference(trivial_inequality_removal,[],[f23419]) ).
thf(f23446,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_211
| spl2_264
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f23410]) ).
thf(f23626,definition,
( spl2_611
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_611])],[avatar_definition]) ).
thf(f23627,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_611 ),
inference(avatar_component_clause,[],[f23626]) ).
thf(f23641,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_501
| ~ spl2_508 ),
inference(constrained_superposition,[],[f18509,f18572]) ).
thf(f23643,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_504
| ~ spl2_508 ),
inference(constrained_superposition,[],[f18573,f18572]) ).
thf(f23662,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_508 ),
inference(constrained_superposition,[],[f363,f18572]) ).
thf(f23663,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_39
| ~ spl2_508 ),
inference(constrained_superposition,[],[f553,f18572]) ).
thf(f23664,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_67
| ~ spl2_508 ),
inference(constrained_superposition,[],[f964,f18572]) ).
thf(f23779,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_360
| ~ spl2_508 ),
inference(constrained_superposition,[],[f19904,f18572]) ).
thf(f23781,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_185
| ~ spl2_508
| ~ spl2_544 ),
inference(constrained_superposition,[],[f20366,f18572]) ).
thf(f23798,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_67
| ~ spl2_508 ),
inference(duplicate_literal_removal,[],[f23664]) ).
thf(f23818,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_28
| ~ spl2_67
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f23798,f412]) ).
thf(f23822,plain,
( $false
| ~ spl2_39
| spl2_69
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f23663,f1293]) ).
thf(f23823,plain,
( ~ spl2_39
| spl2_69
| ~ spl2_508 ),
inference(avatar_contradiction_clause,[],[f23822]) ).
thf(f23834,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_69
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f23662,f1293]) ).
thf(f23835,plain,
( $false
| ~ spl2_21
| spl2_504
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f23643,f386]) ).
thf(f23836,plain,
( ~ spl2_21
| spl2_504
| ~ spl2_508 ),
inference(avatar_contradiction_clause,[],[f23835]) ).
thf(f23839,plain,
( $false
| spl2_57
| ~ spl2_501
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f23641,f19339]) ).
thf(f23840,plain,
( spl2_57
| ~ spl2_501
| ~ spl2_508 ),
inference(avatar_contradiction_clause,[],[f23839]) ).
thf(f23853,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_360
| ~ spl2_508
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f23779,f22532]) ).
thf(f23859,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_185
| ~ spl2_508
| ~ spl2_544
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f23781,f22532]) ).
thf(f23861,plain,
( spl2_172
| spl2_28
| ~ spl2_67
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f23818,f18571,f963,f411,f10878]) ).
thf(f23868,plain,
( spl2_40
| spl2_69
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f23834,f18571,f1078,f555]) ).
thf(f23874,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_166
| ~ spl2_360
| ~ spl2_508
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f23853,f10837]) ).
thf(f23877,plain,
( ~ spl2_151
| spl2_204
| spl2_185
| ~ spl2_508
| ~ spl2_544
| spl2_588 ),
inference(avatar_split_clause,[],[f23859,f22531,f19348,f18571,f11048,f11530,f10722]) ).
thf(f23883,plain,
( spl2_204
| ~ spl2_166
| ~ spl2_360
| ~ spl2_508
| spl2_588 ),
inference(avatar_split_clause,[],[f23874,f22531,f18571,f14507,f10836,f11530]) ).
thf(f23921,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_21
| ~ spl2_611 ),
inference(constrained_superposition,[],[f23627,f386]) ).
thf(f23939,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_21
| ~ spl2_611 ),
inference(trivial_inequality_removal,[],[f23921]) ).
thf(f23984,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_18
| ~ spl2_21
| ~ spl2_611 ),
inference(constrained_superposition,[],[f23939,f375]) ).
thf(f24022,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_18
| ~ spl2_21
| ~ spl2_611 ),
inference(trivial_inequality_removal,[],[f23984]) ).
thf(f24046,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_248
| spl2_264 ),
inference(constrained_superposition,[],[f19740,f13316]) ).
thf(f24110,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_248
| spl2_264 ),
inference(trivial_inequality_removal,[],[f24046]) ).
thf(f24126,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_154
| ~ spl2_248
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f24110,f11063]) ).
thf(f24127,plain,
( $false
| spl2_154
| spl2_185
| ~ spl2_248
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f24126,f15520]) ).
thf(f24128,plain,
( spl2_154
| spl2_185
| ~ spl2_248
| spl2_264 ),
inference(avatar_contradiction_clause,[],[f24127]) ).
thf(f24207,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_8
| ~ spl2_164 ),
inference(constrained_superposition,[],[f17866,f10823]) ).
thf(f24212,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f24207]) ).
thf(f24257,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_245 ),
inference(constrained_superposition,[],[f13293,f84]) ).
thf(f24262,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f24257]) ).
thf(f24269,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_245
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f24262,f15796]) ).
thf(f24270,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_245
| spl2_264
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f24269,f19740]) ).
thf(f24271,plain,
( spl2_161
| ~ spl2_245
| spl2_264
| spl2_371 ),
inference(avatar_split_clause,[],[f24270,f14996,f13671,f13292,f10802]) ).
thf(f24275,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_161
| ~ spl2_166 ),
inference(constrained_superposition,[],[f10837,f10803]) ).
thf(f24279,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_161
| ~ spl2_178 ),
inference(constrained_superposition,[],[f10956,f10803]) ).
thf(f24280,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_161
| ~ spl2_183 ),
inference(constrained_superposition,[],[f11043,f10803]) ).
thf(f24282,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_154
| ~ spl2_161 ),
inference(constrained_superposition,[],[f11063,f10803]) ).
thf(f24284,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_161
| ~ spl2_192 ),
inference(constrained_superposition,[],[f11078,f10803]) ).
thf(f24296,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| spl2_185 ),
inference(constrained_superposition,[],[f15520,f10803]) ).
thf(f24316,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_161
| ~ spl2_500 ),
inference(constrained_superposition,[],[f18493,f10803]) ).
thf(f24317,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_161
| ~ spl2_501 ),
inference(constrained_superposition,[],[f18509,f10803]) ).
thf(f24320,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_161
| ~ spl2_511 ),
inference(constrained_superposition,[],[f18607,f10803]) ).
thf(f24324,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_161
| ~ spl2_526 ),
inference(constrained_superposition,[],[f18752,f10803]) ).
thf(f24343,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_161
| ~ spl2_500 ),
inference(constrained_superposition,[],[f20236,f10803]) ).
thf(f24385,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_67
| ~ spl2_161 ),
inference(constrained_superposition,[],[f964,f10803]) ).
thf(f24386,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_43
| ~ spl2_161 ),
inference(constrained_superposition,[],[f1216,f10803]) ).
thf(f24490,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_67
| ~ spl2_161 ),
inference(duplicate_literal_removal,[],[f24385]) ).
thf(f24494,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_161
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f24280]) ).
thf(f24510,plain,
( $false
| ~ spl2_161
| spl2_264
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f24317,f19740]) ).
thf(f24511,plain,
( ~ spl2_161
| spl2_264
| ~ spl2_501 ),
inference(avatar_contradiction_clause,[],[f24510]) ).
thf(f24516,plain,
( $false
| spl2_70
| ~ spl2_161
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f24284,f1492]) ).
thf(f24517,plain,
( spl2_70
| ~ spl2_161
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f24516]) ).
thf(f24518,plain,
( $false
| ~ spl2_9
| spl2_154
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f24282,f837]) ).
thf(f24519,plain,
( ~ spl2_9
| spl2_154
| ~ spl2_161 ),
inference(avatar_contradiction_clause,[],[f24518]) ).
thf(f24524,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f24386,f959]) ).
thf(f24525,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_28
| ~ spl2_67
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f24490,f412]) ).
thf(f24526,plain,
( spl2_261
| ~ spl2_161
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f24343,f18492,f10802,f13607]) ).
thf(f24530,plain,
( spl2_172
| ~ spl2_161
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f24494,f11042,f10802,f10878]) ).
thf(f24534,plain,
( $false
| spl2_82
| ~ spl2_161
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f24275,f3445]) ).
thf(f24535,plain,
( spl2_82
| ~ spl2_161
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f24534]) ).
thf(f24545,plain,
( $false
| ~ spl2_43
| ~ spl2_161
| spl2_185 ),
inference(forward_subsumption_resolution,[],[f24296,f959]) ).
thf(f24546,plain,
( ~ spl2_43
| ~ spl2_161
| spl2_185 ),
inference(avatar_contradiction_clause,[],[f24545]) ).
thf(f24549,plain,
( $false
| ~ spl2_161
| spl2_163
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f24316,f10819]) ).
thf(f24550,plain,
( ~ spl2_161
| spl2_163
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f24549]) ).
thf(f24553,plain,
( $false
| ~ spl2_161
| spl2_264
| ~ spl2_526 ),
inference(forward_subsumption_resolution,[],[f24324,f19740]) ).
thf(f24554,plain,
( ~ spl2_161
| spl2_264
| ~ spl2_526 ),
inference(avatar_contradiction_clause,[],[f24553]) ).
thf(f24555,plain,
( $false
| spl2_57
| ~ spl2_161
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f24279,f19339]) ).
thf(f24556,plain,
( spl2_57
| ~ spl2_161
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f24555]) ).
thf(f24558,plain,
( $false
| ~ spl2_161
| spl2_163
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f24320,f10819]) ).
thf(f24559,plain,
( ~ spl2_161
| spl2_163
| ~ spl2_511 ),
inference(avatar_contradiction_clause,[],[f24558]) ).
thf(f24575,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| spl2_82
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f24524,f3445]) ).
thf(f24576,plain,
( spl2_172
| spl2_28
| ~ spl2_67
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f24525,f10802,f963,f411,f10878]) ).
thf(f24588,plain,
( spl2_77
| ~ spl2_43
| spl2_82
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f24575,f10802,f1476,f579,f1345]) ).
thf(f24590,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_161
| ~ spl2_164 ),
inference(extensionality_resolution,[],[f19804,f18258]) ).
thf(f24594,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1
| spl2_161 ),
inference(extensionality_resolution,[],[f15336,f18258]) ).
thf(f24596,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_139
| spl2_161 ),
inference(extensionality_resolution,[],[f8179,f18258]) ).
thf(f24626,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_207
| spl2_588 ),
inference(constrained_superposition,[],[f22532,f11799]) ).
thf(f24687,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_207
| spl2_588 ),
inference(trivial_inequality_removal,[],[f24626]) ).
thf(f24700,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_154
| ~ spl2_207
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f24687,f11063]) ).
thf(f24701,plain,
( $false
| spl2_154
| spl2_161
| ~ spl2_207
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f24700,f18258]) ).
thf(f24702,plain,
( spl2_154
| spl2_161
| ~ spl2_207
| spl2_588 ),
inference(avatar_contradiction_clause,[],[f24701]) ).
thf(f24769,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_490
| spl2_503 ),
inference(constrained_superposition,[],[f21007,f27]) ).
thf(f24771,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_490
| spl2_503 ),
inference(trivial_inequality_removal,[],[f24769]) ).
thf(f24772,plain,
( spl2_505
| ~ spl2_490
| spl2_503 ),
inference(avatar_split_clause,[],[f24771,f18530,f18376,f18543]) ).
thf(f24776,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_91
| ~ spl2_511 ),
inference(constrained_superposition,[],[f1782,f18607]) ).
thf(f24799,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f24776]) ).
thf(f24823,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91
| ~ spl2_500
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f24799,f18493]) ).
thf(f24835,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| ~ spl2_91
| ~ spl2_500
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f24823,f10844]) ).
thf(f24847,plain,
( $false
| spl2_22
| ~ spl2_91
| spl2_185
| ~ spl2_500
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f24835,f15520]) ).
thf(f24848,plain,
( spl2_22
| ~ spl2_91
| spl2_185
| ~ spl2_500
| ~ spl2_511 ),
inference(avatar_contradiction_clause,[],[f24847]) ).
thf(f24940,definition,
( spl2_620
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_620])],[avatar_definition]) ).
thf(f24941,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_620 ),
inference(avatar_component_clause,[],[f24940]) ).
thf(f24959,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_185
| ~ spl2_544
| ~ spl2_620 ),
inference(constrained_superposition,[],[f20357,f24941]) ).
thf(f24962,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f363,f24941]) ).
thf(f24964,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f57,f24941]) ).
thf(f25002,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f24964]) ).
thf(f25004,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f24962]) ).
thf(f25014,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_185
| ~ spl2_544
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f24959]) ).
thf(f25033,definition,
( spl2_624
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_624])],[avatar_definition]) ).
thf(f25034,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_624 ),
inference(avatar_component_clause,[],[f25033]) ).
thf(f25041,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_154
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f25002,f11063]) ).
thf(f25042,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_191
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f25004,f11074]) ).
thf(f25050,plain,
( ~ spl2_559
| spl2_185
| ~ spl2_544
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f25014,f24940,f19348,f11048,f19722]) ).
thf(f25055,plain,
( spl2_624
| spl2_154
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f25041,f24940,f10738,f25033]) ).
thf(f25056,plain,
( spl2_624
| spl2_191
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f25042,f24940,f11073,f25033]) ).
thf(f25165,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| spl2_221 ),
inference(constrained_superposition,[],[f12811,f572]) ).
thf(f25167,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_41
| spl2_191 ),
inference(constrained_superposition,[],[f11074,f572]) ).
thf(f25239,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| spl2_191 ),
inference(trivial_inequality_removal,[],[f25167]) ).
thf(f25241,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_41
| spl2_221 ),
inference(trivial_inequality_removal,[],[f25165]) ).
thf(f25255,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| spl2_163
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f25239,f10819]) ).
thf(f25256,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_41
| spl2_186
| spl2_221 ),
inference(forward_subsumption_resolution,[],[f25241,f11053]) ).
thf(f25258,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| spl2_161
| spl2_163
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f25255,f18258]) ).
thf(f25259,plain,
( spl2_205
| spl2_204
| ~ spl2_41
| spl2_186
| spl2_221 ),
inference(avatar_split_clause,[],[f25256,f12810,f11052,f571,f11530,f11533]) ).
thf(f25261,plain,
( $false
| ~ spl2_41
| spl2_161
| spl2_163
| spl2_188
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f25258,f18255]) ).
thf(f25262,plain,
( ~ spl2_41
| spl2_161
| spl2_163
| spl2_188
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f25261]) ).
thf(f25769,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_39
| ~ spl2_123
| ~ spl2_164 ),
inference(constrained_superposition,[],[f16234,f24212]) ).
thf(f25810,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_8
| ~ spl2_39
| ~ spl2_123
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f25769]) ).
thf(f25822,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_8
| spl2_28
| ~ spl2_39
| ~ spl2_123
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f25810,f14540]) ).
thf(f25830,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_8
| spl2_28
| ~ spl2_39
| ~ spl2_123
| spl2_161
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f25822,f18258]) ).
thf(f25834,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_8
| spl2_28
| ~ spl2_39
| ~ spl2_123
| spl2_161
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f25830,f40]) ).
thf(f25836,definition,
( spl2_627
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_627])],[avatar_definition]) ).
thf(f25837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_627 ),
inference(avatar_component_clause,[],[f25836]) ).
thf(f25841,plain,
( spl2_627
| ~ spl2_8
| spl2_28
| ~ spl2_39
| ~ spl2_123
| spl2_161
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f25834,f10822,f10802,f6020,f552,f411,f116,f25836]) ).
thf(f25842,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_264
| ~ spl2_544
| ~ spl2_627 ),
inference(constrained_superposition,[],[f25837,f23408]) ).
thf(f25856,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_361
| ~ spl2_627 ),
inference(constrained_superposition,[],[f25837,f21372]) ).
thf(f25879,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_361
| ~ spl2_627 ),
inference(trivial_inequality_removal,[],[f25856]) ).
thf(f25892,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_264
| ~ spl2_544
| ~ spl2_627 ),
inference(trivial_inequality_removal,[],[f25842]) ).
thf(f26554,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_505
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f18544]) ).
thf(f26593,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_505
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f26554]) ).
thf(f26617,definition,
( spl2_628
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_628])],[avatar_definition]) ).
thf(f26618,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_628 ),
inference(avatar_component_clause,[],[f26617]) ).
thf(f26620,plain,
( spl2_628
| ~ spl2_505
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f26593,f19305,f18543,f26617]) ).
thf(f26686,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_395
| ~ spl2_507 ),
inference(constrained_superposition,[],[f16116,f18552]) ).
thf(f26687,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_458
| ~ spl2_507 ),
inference(constrained_superposition,[],[f16965,f18552]) ).
thf(f26696,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_458
| ~ spl2_507 ),
inference(trivial_inequality_removal,[],[f26687]) ).
thf(f26698,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_395
| ~ spl2_507 ),
inference(trivial_inequality_removal,[],[f26686]) ).
thf(f26903,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_574 ),
inference(constrained_superposition,[],[f19653,f21047]) ).
thf(f26919,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f26903]) ).
thf(f27499,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f12926,f84]) ).
thf(f27507,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f27499]) ).
thf(f27509,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_232
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f27507,f15796]) ).
thf(f27510,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_232
| spl2_264
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f27509,f19740]) ).
thf(f27511,plain,
( spl2_204
| ~ spl2_232
| spl2_264
| spl2_371 ),
inference(avatar_split_clause,[],[f27510,f14996,f13671,f12925,f11530]) ).
thf(f27513,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_243 ),
inference(constrained_superposition,[],[f13279,f84]) ).
thf(f27518,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f27513]) ).
thf(f27524,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_243
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f27518,f19740]) ).
thf(f27525,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_243
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f27524,f40]) ).
thf(f27526,plain,
( $false
| ~ spl2_243
| spl2_264
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f27525,f15796]) ).
thf(f27527,plain,
( ~ spl2_243
| spl2_264
| spl2_371 ),
inference(avatar_contradiction_clause,[],[f27526]) ).
thf(f27543,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f19981,f84]) ).
thf(f27546,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f27543]) ).
thf(f27944,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_566 ),
inference(constrained_superposition,[],[f20071,f10823]) ).
thf(f27946,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_566 ),
inference(trivial_inequality_removal,[],[f27944]) ).
thf(f27951,plain,
( spl2_492
| spl2_517
| ~ spl2_164
| ~ spl2_566 ),
inference(avatar_split_clause,[],[f27946,f20070,f10822,f18700,f18383]) ).
thf(f27953,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_161 ),
inference(extensionality_resolution,[],[f15334,f18258]) ).
thf(f27954,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_161 ),
inference(extensionality_resolution,[],[f15334,f18258]) ).
thf(f27961,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1
| spl2_188 ),
inference(extensionality_resolution,[],[f15334,f18255]) ).
thf(f27962,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1
| spl2_188 ),
inference(extensionality_resolution,[],[f15334,f18255]) ).
thf(f27968,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_161 ),
inference(extensionality_resolution,[],[f8234,f18258]) ).
thf(f27969,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_161 ),
inference(extensionality_resolution,[],[f8234,f18258]) ).
thf(f27972,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_139 ),
inference(extensionality_resolution,[],[f8234,f40]) ).
thf(f27976,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_139
| spl2_188 ),
inference(extensionality_resolution,[],[f8234,f18255]) ).
thf(f27977,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_139
| spl2_188 ),
inference(extensionality_resolution,[],[f8234,f18255]) ).
thf(f27981,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139
| spl2_520 ),
inference(constrained_superposition,[],[f18711,f8234]) ).
thf(f28000,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_139 ),
inference(constrained_superposition,[],[f527,f8234]) ).
thf(f28023,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_183 ),
inference(constrained_superposition,[],[f11043,f8234]) ).
thf(f28029,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_501 ),
inference(constrained_superposition,[],[f19876,f8234]) ).
thf(f28031,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_139
| ~ spl2_211 ),
inference(constrained_superposition,[],[f11913,f8234]) ).
thf(f28086,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_139
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f28031]) ).
thf(f28114,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_520 ),
inference(trivial_inequality_removal,[],[f27981]) ).
thf(f28115,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_139
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f28023]) ).
thf(f28121,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f28029]) ).
thf(f28133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_37
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f28000]) ).
thf(f28151,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_139
| ~ spl2_501
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f28121,f18573]) ).
thf(f28157,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f28151,f848]) ).
thf(f28331,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_161
| ~ spl2_166 ),
inference(extensionality_resolution,[],[f21334,f18258]) ).
thf(f28351,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_161
| ~ spl2_166
| spl2_221 ),
inference(forward_subsumption_resolution,[],[f28331,f12811]) ).
thf(f28353,plain,
( ~ spl2_241
| ~ spl2_179
| spl2_161
| ~ spl2_166
| spl2_221 ),
inference(avatar_split_clause,[],[f28351,f12810,f10836,f10802,f10963,f13268]) ).
thf(f28372,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ X0 )
!= $true ) ),
inference(extensionality_resolution,[],[f90,f40]) ).
thf(f28412,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f2635,f50]) ).
thf(f28415,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f28412]) ).
thf(f28437,plain,
! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f28415,f40]) ).
thf(f30312,definition,
( spl2_691
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_691])],[avatar_definition]) ).
thf(f30313,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_691 ),
inference(avatar_component_clause,[],[f30312]) ).
thf(f30315,definition,
( spl2_692
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_692])],[avatar_definition]) ).
thf(f30316,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_692 ),
inference(avatar_component_clause,[],[f30315]) ).
thf(f30322,definition,
( spl2_693
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_693])],[avatar_definition]) ).
thf(f30323,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_693 ),
inference(avatar_component_clause,[],[f30322]) ).
thf(f30325,definition,
( spl2_694
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_694])],[avatar_definition]) ).
thf(f30326,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_694 ),
inference(avatar_component_clause,[],[f30325]) ).
thf(f30330,definition,
( spl2_695
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_695])],[avatar_definition]) ).
thf(f30331,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_695 ),
inference(avatar_component_clause,[],[f30330]) ).
thf(f30333,definition,
( spl2_696
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_696])],[avatar_definition]) ).
thf(f30334,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_696 ),
inference(avatar_component_clause,[],[f30333]) ).
thf(f30337,definition,
( spl2_697
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_697])],[avatar_definition]) ).
thf(f30338,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_697 ),
inference(avatar_component_clause,[],[f30337]) ).
thf(f30340,definition,
( spl2_698
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_698])],[avatar_definition]) ).
thf(f30341,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_698 ),
inference(avatar_component_clause,[],[f30340]) ).
thf(f30345,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_164
| ~ spl2_691 ),
inference(constrained_superposition,[],[f21599,f30313]) ).
thf(f30358,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_691 ),
inference(constrained_superposition,[],[f17425,f30313]) ).
thf(f30376,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_8
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f30358]) ).
thf(f30388,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f30345]) ).
thf(f30399,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_8
| spl2_186
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f30376,f11053]) ).
thf(f30401,definition,
( spl2_699
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_699])],[avatar_definition]) ).
thf(f30402,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_699 ),
inference(avatar_component_clause,[],[f30401]) ).
thf(f30404,definition,
( spl2_700
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_700])],[avatar_definition]) ).
thf(f30405,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_700 ),
inference(avatar_component_clause,[],[f30404]) ).
thf(f30411,definition,
( spl2_702
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_702])],[avatar_definition]) ).
thf(f30412,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_702 ),
inference(avatar_component_clause,[],[f30411]) ).
thf(f30423,definition,
( spl2_705
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_705])],[avatar_definition]) ).
thf(f30424,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_705 ),
inference(avatar_component_clause,[],[f30423]) ).
thf(f30425,plain,
( ~ spl2_705
| spl2_702
| ~ spl2_164
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f30388,f30312,f10822,f30411,f30423]) ).
thf(f30441,definition,
( spl2_709
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_709])],[avatar_definition]) ).
thf(f30442,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_709 ),
inference(avatar_component_clause,[],[f30441]) ).
thf(f30444,definition,
( spl2_710
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_710])],[avatar_definition]) ).
thf(f30445,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_710 ),
inference(avatar_component_clause,[],[f30444]) ).
thf(f30452,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| spl2_186
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f30399,f40]) ).
thf(f30455,definition,
( spl2_712
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_712])],[avatar_definition]) ).
thf(f30456,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_712 ),
inference(avatar_component_clause,[],[f30455]) ).
thf(f30458,plain,
( spl2_710
| spl2_204
| ~ spl2_8
| spl2_186
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f30452,f30312,f11052,f116,f11530,f30444]) ).
thf(f30469,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_705 ),
inference(constrained_superposition,[],[f30424,f84]) ).
thf(f30473,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_705 ),
inference(trivial_inequality_removal,[],[f30469]) ).
thf(f30476,definition,
( spl2_713
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_713])],[avatar_definition]) ).
thf(f30477,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_713 ),
inference(avatar_component_clause,[],[f30476]) ).
thf(f30479,plain,
( spl2_713
| spl2_705 ),
inference(avatar_split_clause,[],[f30473,f30423,f30476]) ).
thf(f30499,definition,
( spl2_714
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_714])],[avatar_definition]) ).
thf(f30500,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_714 ),
inference(avatar_component_clause,[],[f30499]) ).
thf(f30502,definition,
( spl2_715
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_715])],[avatar_definition]) ).
thf(f30503,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_715 ),
inference(avatar_component_clause,[],[f30502]) ).
thf(f30508,definition,
( spl2_716
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_716])],[avatar_definition]) ).
thf(f30509,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_716 ),
inference(avatar_component_clause,[],[f30508]) ).
thf(f30534,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| ~ spl2_713 ),
inference(constrained_superposition,[],[f28157,f30477]) ).
thf(f30536,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| ~ spl2_713 ),
inference(constrained_superposition,[],[f20603,f30477]) ).
thf(f30550,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_713 ),
inference(constrained_superposition,[],[f848,f30477]) ).
thf(f30555,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| ~ spl2_713 ),
inference(trivial_inequality_removal,[],[f30534]) ).
thf(f30563,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| ~ spl2_713 ),
inference(trivial_inequality_removal,[],[f30536]) ).
thf(f30568,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_713 ),
inference(trivial_inequality_removal,[],[f30550]) ).
thf(f30572,definition,
( spl2_719
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_719])],[avatar_definition]) ).
thf(f30573,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_719 ),
inference(avatar_component_clause,[],[f30572]) ).
thf(f30574,plain,
( spl2_459
| spl2_719
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| ~ spl2_713 ),
inference(avatar_split_clause,[],[f30555,f30476,f18540,f18508,f8169,f126,f30572,f16967]) ).
thf(f30579,plain,
( spl2_719
| spl2_517
| ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| ~ spl2_713 ),
inference(avatar_split_clause,[],[f30563,f30476,f18540,f18508,f8169,f126,f18700,f30572]) ).
thf(f30581,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| spl2_702 ),
inference(avatar_component_clause,[],[f30411]) ).
thf(f30582,plain,
( spl2_719
| ~ spl2_702
| ~ spl2_9
| ~ spl2_713 ),
inference(avatar_split_clause,[],[f30568,f30476,f126,f30411,f30572]) ).
thf(f30585,definition,
( spl2_721
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_721])],[avatar_definition]) ).
thf(f30586,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_721 ),
inference(avatar_component_clause,[],[f30585]) ).
thf(f30588,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_702 ),
inference(constrained_superposition,[],[f14532,f30412]) ).
thf(f30597,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_702 ),
inference(trivial_inequality_removal,[],[f30588]) ).
thf(f30601,plain,
( spl2_716
| ~ spl2_21
| ~ spl2_39
| ~ spl2_702 ),
inference(avatar_split_clause,[],[f30597,f30411,f552,f385,f30508]) ).
thf(f30613,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_715 ),
inference(constrained_superposition,[],[f30503,f553]) ).
thf(f30618,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_713
| ~ spl2_715 ),
inference(constrained_superposition,[],[f30503,f30477]) ).
thf(f30630,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_713
| ~ spl2_715 ),
inference(trivial_inequality_removal,[],[f30618]) ).
thf(f30645,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_39
| ~ spl2_715 ),
inference(trivial_inequality_removal,[],[f30613]) ).
thf(f30648,plain,
( $false
| ~ spl2_9
| ~ spl2_713
| ~ spl2_715 ),
inference(forward_subsumption_resolution,[],[f30630,f837]) ).
thf(f30649,plain,
( ~ spl2_9
| ~ spl2_713
| ~ spl2_715 ),
inference(avatar_contradiction_clause,[],[f30648]) ).
thf(f30656,plain,
( $false
| ~ spl2_21
| ~ spl2_39
| ~ spl2_715 ),
inference(forward_subsumption_resolution,[],[f30645,f386]) ).
thf(f30657,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_715 ),
inference(avatar_contradiction_clause,[],[f30656]) ).
thf(f30687,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_386
| ~ spl2_695 ),
inference(constrained_superposition,[],[f15729,f30331]) ).
thf(f30689,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_695 ),
inference(constrained_superposition,[],[f3527,f30331]) ).
thf(f30718,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_386
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f30687]) ).
thf(f30733,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f30689]) ).
thf(f30741,definition,
( spl2_723
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_723])],[avatar_definition]) ).
thf(f30742,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_723 ),
inference(avatar_component_clause,[],[f30741]) ).
thf(f30748,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| spl2_186
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f30733,f11053]) ).
thf(f30750,plain,
( spl2_709
| spl2_186
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f30748,f30330,f11052,f30441]) ).
thf(f30758,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_719 ),
inference(constrained_superposition,[],[f30573,f553]) ).
thf(f30777,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_719 ),
inference(trivial_inequality_removal,[],[f30758]) ).
thf(f30797,plain,
( $false
| ~ spl2_23
| ~ spl2_39
| ~ spl2_719 ),
inference(forward_subsumption_resolution,[],[f30777,f393]) ).
thf(f30798,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_719 ),
inference(avatar_contradiction_clause,[],[f30797]) ).
thf(f30823,plain,
( ~ spl2_705
| ~ spl2_386
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f30718,f30330,f15728,f30423]) ).
thf(f30836,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_395
| ~ spl2_692 ),
inference(constrained_superposition,[],[f16116,f30316]) ).
thf(f30837,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_458
| ~ spl2_692 ),
inference(constrained_superposition,[],[f16965,f30316]) ).
thf(f30847,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_458
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f30837]) ).
thf(f30849,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_395
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f30836]) ).
thf(f30869,definition,
( spl2_727
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_727])],[avatar_definition]) ).
thf(f30870,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_727 ),
inference(avatar_component_clause,[],[f30869]) ).
thf(f30872,definition,
( spl2_728
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_728])],[avatar_definition]) ).
thf(f30873,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_728 ),
inference(avatar_component_clause,[],[f30872]) ).
thf(f30874,plain,
( ~ spl2_727
| ~ spl2_728
| ~ spl2_458
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f30847,f30315,f16964,f30872,f30869]) ).
thf(f30875,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_395
| ~ spl2_692 ),
inference(forward_subsumption_resolution,[],[f30849,f553]) ).
thf(f30878,plain,
( ~ spl2_727
| ~ spl2_39
| ~ spl2_395
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f30875,f30315,f16115,f552,f30869]) ).
thf(f30882,plain,
( spl2_154
| ~ spl2_559
| spl2_526
| ~ spl2_1
| spl2_161 ),
inference(avatar_split_clause,[],[f27954,f10802,f65,f18751,f19722,f10738]) ).
thf(f30887,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_186
| ~ spl2_192
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f23307,f11053]) ).
thf(f30889,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_34
| ~ spl2_139
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f28115,f516]) ).
thf(f30899,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_34
| ~ spl2_139
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f28086,f516]) ).
thf(f30901,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_34
| ~ spl2_139
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f20272,f516]) ).
thf(f30912,definition,
( spl2_733
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_733])],[avatar_definition]) ).
thf(f30913,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_733 ),
inference(avatar_component_clause,[],[f30912]) ).
thf(f30939,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_139
| spl2_188
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f27977,f18573]) ).
thf(f30941,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_139
| spl2_188
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f27976,f18573]) ).
thf(f30945,plain,
( ~ spl2_185
| ~ spl2_154
| ~ spl2_176
| ~ spl2_547 ),
inference(avatar_split_clause,[],[f22978,f19454,f10947,f10738,f11048]) ).
thf(f30947,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139
| spl2_161
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f27968,f18573]) ).
thf(f30953,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_37
| ~ spl2_361
| ~ spl2_627 ),
inference(forward_subsumption_resolution,[],[f25879,f527]) ).
thf(f30959,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_395
| ~ spl2_507 ),
inference(forward_subsumption_resolution,[],[f26698,f40]) ).
thf(f30960,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22
| spl2_264
| ~ spl2_544
| ~ spl2_547 ),
inference(forward_subsumption_resolution,[],[f23433,f10844]) ).
thf(f30967,definition,
( spl2_741
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_741])],[avatar_definition]) ).
thf(f30968,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_741 ),
inference(avatar_component_clause,[],[f30967]) ).
thf(f30969,plain,
( spl2_154
| spl2_741
| ~ spl2_34
| ~ spl2_139
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f17838,f11912,f8169,f515,f30967,f10738]) ).
thf(f30970,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_161
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f27953,f18573]) ).
thf(f30971,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_37
| ~ spl2_211
| spl2_264
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f23446,f527]) ).
thf(f30972,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_1
| spl2_188
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f27961,f18573]) ).
thf(f31007,plain,
( spl2_212
| ~ spl2_185
| ~ spl2_178
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f20456,f11077,f10955,f11048,f11920]) ).
thf(f31012,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_37
| spl2_264
| ~ spl2_544
| ~ spl2_627 ),
inference(forward_subsumption_resolution,[],[f25892,f527]) ).
thf(f31024,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_139
| spl2_161
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f27969,f18573]) ).
thf(f31039,plain,
( ~ spl2_559
| spl2_492
| spl2_175
| ~ spl2_1
| spl2_188 ),
inference(avatar_split_clause,[],[f27962,f11060,f65,f10944,f18383,f19722]) ).
thf(f31041,plain,
( spl2_212
| ~ spl2_154
| ~ spl2_178
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f20743,f11077,f10955,f10738,f11920]) ).
thf(f31058,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_458
| ~ spl2_507 ),
inference(forward_subsumption_resolution,[],[f26696,f40]) ).
thf(f31059,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_178
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f26919,f40]) ).
thf(f31071,definition,
( spl2_752
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_752])],[avatar_definition]) ).
thf(f31072,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_752 ),
inference(avatar_component_clause,[],[f31071]) ).
thf(f31077,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_22
| spl2_186
| ~ spl2_192
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f30887,f10844]) ).
thf(f31078,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_500 ),
inference(avatar_component_clause,[],[f18492]) ).
thf(f31083,plain,
( spl2_175
| spl2_584
| ~ spl2_34
| ~ spl2_139
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f30889,f11042,f8169,f515,f22503,f10944]) ).
thf(f31086,definition,
( spl2_754
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_754])],[avatar_definition]) ).
thf(f31087,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_754 ),
inference(avatar_component_clause,[],[f31086]) ).
thf(f31088,plain,
( spl2_154
| spl2_754
| ~ spl2_34
| ~ spl2_139
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f30899,f11912,f8169,f515,f31086,f10738]) ).
thf(f31091,definition,
( spl2_755
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_755])],[avatar_definition]) ).
thf(f31092,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_755 ),
inference(avatar_component_clause,[],[f31091]) ).
thf(f31093,plain,
( spl2_755
| spl2_175
| ~ spl2_34
| ~ spl2_139
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f30901,f11042,f8169,f515,f10944,f31091]) ).
thf(f31104,definition,
( spl2_757
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_757])],[avatar_definition]) ).
thf(f31105,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_757 ),
inference(avatar_component_clause,[],[f31104]) ).
thf(f31108,plain,
( spl2_492
| spl2_175
| ~ spl2_139
| spl2_188
| spl2_504 ),
inference(avatar_split_clause,[],[f30939,f18540,f11060,f8169,f10944,f18383]) ).
thf(f31110,plain,
( spl2_175
| spl2_489
| ~ spl2_139
| spl2_188
| spl2_504 ),
inference(avatar_split_clause,[],[f30941,f18540,f11060,f8169,f18373,f10944]) ).
thf(f31118,plain,
( spl2_154
| spl2_511
| ~ spl2_139
| spl2_161
| spl2_504 ),
inference(avatar_split_clause,[],[f30947,f18540,f10802,f8169,f18606,f10738]) ).
thf(f31119,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_37
| spl2_188
| ~ spl2_361
| ~ spl2_627 ),
inference(forward_subsumption_resolution,[],[f30953,f18255]) ).
thf(f31128,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_39
| ~ spl2_395
| ~ spl2_507 ),
inference(forward_subsumption_resolution,[],[f30959,f553]) ).
thf(f31129,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| spl2_186
| spl2_264
| ~ spl2_544
| ~ spl2_547 ),
inference(forward_subsumption_resolution,[],[f30960,f11053]) ).
thf(f31131,plain,
( spl2_511
| ~ spl2_151
| ~ spl2_1
| spl2_161
| spl2_504 ),
inference(avatar_split_clause,[],[f30970,f18540,f10802,f65,f10722,f18606]) ).
thf(f31132,plain,
( spl2_754
| ~ spl2_37
| ~ spl2_211
| spl2_264
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f30971,f19348,f13671,f11912,f526,f31086]) ).
thf(f31133,plain,
( spl2_489
| ~ spl2_177
| ~ spl2_1
| spl2_188
| spl2_504 ),
inference(avatar_split_clause,[],[f30972,f18540,f11060,f65,f10951,f18373]) ).
thf(f31155,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_37
| spl2_188
| spl2_264
| ~ spl2_544
| ~ spl2_627 ),
inference(forward_subsumption_resolution,[],[f31012,f18255]) ).
thf(f31164,plain,
( spl2_526
| spl2_154
| ~ spl2_139
| spl2_161
| spl2_504 ),
inference(avatar_split_clause,[],[f31024,f18540,f10802,f8169,f10738,f18751]) ).
thf(f31185,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_511 ),
inference(avatar_component_clause,[],[f18606]) ).
thf(f31186,plain,
( spl2_517
| ~ spl2_511
| ~ spl2_526
| spl2_175
| ~ spl2_458
| ~ spl2_507 ),
inference(avatar_split_clause,[],[f31058,f18551,f16964,f10944,f18751,f18606,f18700]) ).
thf(f31187,plain,
( ~ spl2_526
| spl2_527
| spl2_175
| spl2_517
| ~ spl2_178
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f31059,f21046,f10955,f18700,f10944,f18782,f18751]) ).
thf(f31191,plain,
( ~ spl2_185
| spl2_212
| spl2_22
| spl2_186
| ~ spl2_192
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f31077,f14507,f11077,f11052,f389,f11920,f11048]) ).
thf(f31197,plain,
( spl2_757
| ~ spl2_37
| spl2_188
| ~ spl2_361
| ~ spl2_627 ),
inference(avatar_split_clause,[],[f31119,f25836,f14511,f11060,f526,f31104]) ).
thf(f31199,plain,
( spl2_517
| ~ spl2_511
| spl2_175
| ~ spl2_39
| ~ spl2_395
| ~ spl2_507 ),
inference(avatar_split_clause,[],[f31128,f18551,f16115,f552,f10944,f18606,f18700]) ).
thf(f31200,plain,
( ~ spl2_154
| ~ spl2_185
| spl2_22
| spl2_186
| spl2_264
| ~ spl2_544
| ~ spl2_547 ),
inference(avatar_split_clause,[],[f31129,f19454,f19348,f13671,f11052,f389,f11048,f10738]) ).
thf(f31205,plain,
( spl2_754
| ~ spl2_37
| spl2_188
| spl2_264
| ~ spl2_544
| ~ spl2_627 ),
inference(avatar_split_clause,[],[f31155,f25836,f19348,f13671,f11060,f526,f31086]) ).
thf(f31229,plain,
( spl2_503
| ~ spl2_177
| ~ spl2_528 ),
inference(avatar_split_clause,[],[f20339,f18861,f10951,f18530]) ).
thf(f31231,plain,
( spl2_192
| spl2_549
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f20479,f10822,f19462,f11077]) ).
thf(f31232,plain,
( ~ spl2_233
| spl2_503
| ~ spl2_568 ),
inference(avatar_split_clause,[],[f20978,f20175,f18530,f12929]) ).
thf(f31274,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_154 ),
inference(constrained_superposition,[],[f24,f10739]) ).
thf(f31277,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f31274]) ).
thf(f31281,plain,
( spl2_485
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f31277,f10738,f18318]) ).
thf(f31289,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_185 ),
inference(constrained_superposition,[],[f14533,f11049]) ).
thf(f31294,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_18
| ~ spl2_21
| ~ spl2_185
| ~ spl2_611 ),
inference(constrained_superposition,[],[f24022,f11049]) ).
thf(f31295,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f24,f11049]) ).
thf(f31299,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f31289]) ).
thf(f31302,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f31295]) ).
thf(f31306,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_18
| ~ spl2_21
| ~ spl2_185
| ~ spl2_611 ),
inference(trivial_inequality_removal,[],[f31294]) ).
thf(f31311,plain,
( spl2_482
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f31302,f11048,f18301]) ).
thf(f31312,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_21
| ~ spl2_185
| ~ spl2_611 ),
inference(forward_subsumption_resolution,[],[f31306,f48]) ).
thf(f31316,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_21
| spl2_161
| ~ spl2_185
| ~ spl2_611 ),
inference(forward_subsumption_resolution,[],[f31312,f18258]) ).
thf(f31319,plain,
( $false
| ~ spl2_18
| ~ spl2_21
| spl2_161
| ~ spl2_185
| spl2_188
| ~ spl2_611 ),
inference(forward_subsumption_resolution,[],[f31316,f18255]) ).
thf(f31320,plain,
( ~ spl2_18
| ~ spl2_21
| spl2_161
| ~ spl2_185
| spl2_188
| ~ spl2_611 ),
inference(avatar_contradiction_clause,[],[f31319]) ).
thf(f31332,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_1
| spl2_175 ),
inference(constrained_superposition,[],[f12106,f17145]) ).
thf(f31338,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_175 ),
inference(trivial_inequality_removal,[],[f31332]) ).
thf(f31343,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_1
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f31338,f40]) ).
thf(f31347,plain,
( spl2_213
| ~ spl2_1
| spl2_175 ),
inference(avatar_split_clause,[],[f31343,f10944,f65,f12151]) ).
thf(f31362,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_371
| ~ spl2_501
| spl2_504 ),
inference(constrained_superposition,[],[f28157,f14997]) ).
thf(f31385,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_139
| ~ spl2_371
| ~ spl2_501
| spl2_504 ),
inference(trivial_inequality_removal,[],[f31362]) ).
thf(f31393,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_139
| spl2_188
| ~ spl2_371
| ~ spl2_501
| spl2_504 ),
inference(forward_subsumption_resolution,[],[f31385,f18255]) ).
thf(f31395,plain,
( spl2_388
| ~ spl2_9
| ~ spl2_139
| spl2_188
| ~ spl2_371
| ~ spl2_501
| spl2_504 ),
inference(avatar_split_clause,[],[f31393,f18540,f18508,f14996,f11060,f8169,f126,f15794]) ).
thf(f31405,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_501
| ~ spl2_503 ),
inference(constrained_superposition,[],[f19876,f19275]) ).
thf(f31419,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_501
| ~ spl2_503 ),
inference(trivial_inequality_removal,[],[f31405]) ).
thf(f31422,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_501
| ~ spl2_503 ),
inference(forward_subsumption_resolution,[],[f31419,f837]) ).
thf(f31424,plain,
( spl2_77
| ~ spl2_9
| ~ spl2_501
| ~ spl2_503 ),
inference(avatar_split_clause,[],[f31422,f18530,f18508,f126,f1345]) ).
thf(f31436,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_504
| ~ spl2_510 ),
inference(constrained_superposition,[],[f18573,f18581]) ).
thf(f31440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_501
| ~ spl2_510 ),
inference(constrained_superposition,[],[f19876,f18581]) ).
thf(f31442,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_510
| ~ spl2_692 ),
inference(constrained_superposition,[],[f30316,f18581]) ).
thf(f31443,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_510
| ~ spl2_710 ),
inference(constrained_superposition,[],[f30445,f18581]) ).
thf(f31487,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_360
| ~ spl2_510 ),
inference(constrained_superposition,[],[f19904,f18581]) ).
thf(f31489,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_264
| ~ spl2_510
| ~ spl2_544 ),
inference(constrained_superposition,[],[f20392,f18581]) ).
thf(f31491,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_264
| ~ spl2_510
| ~ spl2_544 ),
inference(constrained_superposition,[],[f23408,f18581]) ).
thf(f31604,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_166
| spl2_264
| ~ spl2_510
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f31489,f10837]) ).
thf(f31608,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_166
| ~ spl2_360
| ~ spl2_510 ),
inference(forward_subsumption_resolution,[],[f31487,f10837]) ).
thf(f31617,plain,
( spl2_263
| ~ spl2_501
| ~ spl2_510 ),
inference(avatar_split_clause,[],[f31440,f18580,f18508,f13652]) ).
thf(f31618,plain,
( $false
| ~ spl2_154
| spl2_504
| ~ spl2_510 ),
inference(forward_subsumption_resolution,[],[f31436,f10739]) ).
thf(f31619,plain,
( ~ spl2_154
| spl2_504
| ~ spl2_510 ),
inference(avatar_contradiction_clause,[],[f31618]) ).
thf(f31631,plain,
( $false
| ~ spl2_510
| spl2_580
| ~ spl2_692 ),
inference(forward_subsumption_resolution,[],[f31442,f22041]) ).
thf(f31632,plain,
( ~ spl2_510
| spl2_580
| ~ spl2_692 ),
inference(avatar_contradiction_clause,[],[f31631]) ).
thf(f31633,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31491,f22532]) ).
thf(f31642,plain,
( $false
| spl2_186
| ~ spl2_510
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f31443,f11053]) ).
thf(f31643,plain,
( spl2_186
| ~ spl2_510
| ~ spl2_710 ),
inference(avatar_contradiction_clause,[],[f31642]) ).
thf(f31646,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_166
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31604,f22532]) ).
thf(f31649,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_166
| ~ spl2_360
| ~ spl2_510
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31608,f22532]) ).
thf(f31659,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_163
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31633,f10819]) ).
thf(f31663,plain,
( $false
| spl2_161
| ~ spl2_166
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31646,f18258]) ).
thf(f31664,plain,
( spl2_161
| ~ spl2_166
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(avatar_contradiction_clause,[],[f31663]) ).
thf(f31666,plain,
( $false
| spl2_161
| ~ spl2_166
| ~ spl2_360
| ~ spl2_510
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31649,f18258]) ).
thf(f31667,plain,
( spl2_161
| ~ spl2_166
| ~ spl2_360
| ~ spl2_510
| spl2_588 ),
inference(avatar_contradiction_clause,[],[f31666]) ).
thf(f31674,plain,
( $false
| spl2_161
| spl2_163
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(forward_subsumption_resolution,[],[f31659,f18258]) ).
thf(f31675,plain,
( spl2_161
| spl2_163
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(avatar_contradiction_clause,[],[f31674]) ).
thf(f31716,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_500 ),
inference(constrained_superposition,[],[f31078,f83]) ).
thf(f31737,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_500 ),
inference(trivial_inequality_removal,[],[f31716]) ).
thf(f31743,plain,
( spl2_513
| spl2_500 ),
inference(avatar_split_clause,[],[f31737,f18492,f18682]) ).
thf(f31770,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_139
| ~ spl2_755 ),
inference(constrained_superposition,[],[f31092,f8179]) ).
thf(f31790,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_139
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f31770]) ).
thf(f31837,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_544
| ~ spl2_620 ),
inference(constrained_superposition,[],[f19349,f24941]) ).
thf(f31849,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_620 ),
inference(constrained_superposition,[],[f15299,f24941]) ).
thf(f31861,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_544
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f31837]) ).
thf(f31881,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f31849]) ).
thf(f31901,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_733 ),
inference(constrained_superposition,[],[f21336,f30913]) ).
thf(f31914,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_733 ),
inference(constrained_superposition,[],[f17425,f30913]) ).
thf(f31915,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_166
| ~ spl2_733 ),
inference(constrained_superposition,[],[f19406,f30913]) ).
thf(f31917,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_733 ),
inference(constrained_superposition,[],[f15299,f30913]) ).
thf(f31922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_733 ),
inference(constrained_superposition,[],[f26,f30913]) ).
thf(f31933,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f31917]) ).
thf(f31937,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f31914]) ).
thf(f31938,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_166
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f31901]) ).
thf(f31941,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f31922]) ).
thf(f31948,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_166
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f31915]) ).
thf(f31960,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_166
| spl2_504
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f31938,f18573]) ).
thf(f31967,definition,
( spl2_776
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_776])],[avatar_definition]) ).
thf(f31968,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_776 ),
inference(avatar_component_clause,[],[f31967]) ).
thf(f31970,plain,
( spl2_506
| ~ spl2_776
| ~ spl2_166
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f31948,f30912,f10836,f31967,f18548]) ).
thf(f31980,definition,
( spl2_779
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_779])],[avatar_definition]) ).
thf(f31981,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_779 ),
inference(avatar_component_clause,[],[f31980]) ).
thf(f31986,plain,
( ~ spl2_776
| ~ spl2_166
| spl2_504
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f31960,f30912,f18540,f10836,f31967]) ).
thf(f31988,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_776 ),
inference(constrained_superposition,[],[f31968,f84]) ).
thf(f31993,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_776 ),
inference(trivial_inequality_removal,[],[f31988]) ).
thf(f31994,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_360
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f22457]) ).
thf(f32002,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_507
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f18552]) ).
thf(f32004,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true ) )
| spl2_526
| ~ spl2_551 ),
inference(constrained_superposition,[],[f20853,f19473]) ).
thf(f32008,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| spl2_526
| ~ spl2_551 ),
inference(trivial_inequality_removal,[],[f32004]) ).
thf(f32013,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_360
| spl2_526 ),
inference(trivial_inequality_removal,[],[f31994]) ).
thf(f32019,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_507
| spl2_526 ),
inference(trivial_inequality_removal,[],[f32002]) ).
thf(f32020,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_503
| spl2_526
| ~ spl2_551 ),
inference(forward_subsumption_resolution,[],[f32008,f18531]) ).
thf(f32022,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| spl2_503
| spl2_526
| ~ spl2_551 ),
inference(forward_subsumption_resolution,[],[f32020,f40]) ).
thf(f32023,plain,
( spl2_506
| spl2_510
| spl2_503
| spl2_526
| ~ spl2_551 ),
inference(avatar_split_clause,[],[f32022,f19472,f18751,f18530,f18580,f18548]) ).
thf(f32032,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_316
| spl2_511 ),
inference(constrained_superposition,[],[f31185,f13919]) ).
thf(f32037,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_316
| spl2_511 ),
inference(trivial_inequality_removal,[],[f32032]) ).
thf(f32097,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_492
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f18384]) ).
thf(f32098,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_67
| ~ spl2_492 ),
inference(constrained_superposition,[],[f964,f18384]) ).
thf(f32102,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_395
| ~ spl2_492 ),
inference(constrained_superposition,[],[f16116,f18384]) ).
thf(f32114,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_492
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f32097]) ).
thf(f32116,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_395
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f32102]) ).
thf(f32118,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_67
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f32098]) ).
thf(f32124,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_264
| ~ spl2_544
| spl2_727 ),
inference(constrained_superposition,[],[f30870,f23408]) ).
thf(f32126,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_361
| spl2_727 ),
inference(constrained_superposition,[],[f30870,f21372]) ).
thf(f32134,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_264
| ~ spl2_544
| spl2_727 ),
inference(trivial_inequality_removal,[],[f32124]) ).
thf(f32135,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_361
| spl2_727 ),
inference(trivial_inequality_removal,[],[f32126]) ).
thf(f32154,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_360
| spl2_728 ),
inference(constrained_superposition,[],[f30873,f21384]) ).
thf(f32165,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| spl2_728 ),
inference(trivial_inequality_removal,[],[f32154]) ).
thf(f32173,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_564
| ~ spl2_620 ),
inference(constrained_superposition,[],[f20063,f24941]) ).
thf(f32186,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_564
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f32173]) ).
thf(f32188,plain,
( $false
| ~ spl2_166
| ~ spl2_564
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f32186,f10837]) ).
thf(f32189,plain,
( ~ spl2_166
| ~ spl2_564
| ~ spl2_620 ),
inference(avatar_contradiction_clause,[],[f32188]) ).
thf(f32210,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_696 ),
inference(constrained_superposition,[],[f11043,f30334]) ).
thf(f32222,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f32210]) ).
thf(f32237,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_139
| ~ spl2_183
| ~ spl2_696 ),
inference(constrained_superposition,[],[f32222,f8234]) ).
thf(f32245,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139
| ~ spl2_183
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f32237]) ).
thf(f32247,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_693 ),
inference(constrained_superposition,[],[f638,f30323]) ).
thf(f32258,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_693 ),
inference(constrained_superposition,[],[f17130,f30323]) ).
thf(f32279,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f32247]) ).
thf(f32294,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f32258]) ).
thf(f32324,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f32294,f40]) ).
thf(f32333,definition,
( spl2_786
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_786])],[avatar_definition]) ).
thf(f32334,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_786 ),
inference(avatar_component_clause,[],[f32333]) ).
thf(f32337,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_504
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f32324,f18573]) ).
thf(f32342,plain,
( spl2_702
| ~ spl2_1
| spl2_504
| ~ spl2_693 ),
inference(avatar_split_clause,[],[f32337,f30322,f18540,f65,f30411]) ).
thf(f32346,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_361
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f32135,f40]) ).
thf(f32347,plain,
( spl2_710
| spl2_204
| spl2_264
| ~ spl2_544
| spl2_727 ),
inference(avatar_split_clause,[],[f32134,f30869,f19348,f13671,f11530,f30444]) ).
thf(f32348,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_360
| spl2_728 ),
inference(forward_subsumption_resolution,[],[f32165,f40]) ).
thf(f32352,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_714 ),
inference(avatar_component_clause,[],[f30499]) ).
thf(f32355,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_504
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f32279,f18573]) ).
thf(f32358,plain,
( spl2_710
| spl2_508
| ~ spl2_361
| spl2_727 ),
inference(avatar_split_clause,[],[f32346,f30869,f14511,f18571,f30444]) ).
thf(f32359,plain,
( spl2_508
| spl2_710
| ~ spl2_360
| spl2_728 ),
inference(avatar_split_clause,[],[f32348,f30872,f14507,f30444,f18571]) ).
thf(f32360,plain,
( spl2_714
| ~ spl2_569
| spl2_504
| ~ spl2_693 ),
inference(avatar_split_clause,[],[f32355,f30322,f18540,f20183,f30499]) ).
thf(f32372,definition,
( spl2_787
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_787])],[avatar_definition]) ).
thf(f32373,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_787 ),
inference(avatar_component_clause,[],[f32372]) ).
thf(f32375,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_786 ),
inference(constrained_superposition,[],[f32334,f50]) ).
thf(f32377,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_786 ),
inference(trivial_inequality_removal,[],[f32375]) ).
thf(f32379,plain,
( spl2_714
| spl2_786 ),
inference(avatar_split_clause,[],[f32377,f32333,f30499]) ).
thf(f32389,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_39
| ~ spl2_710 ),
inference(constrained_superposition,[],[f14540,f30445]) ).
thf(f32390,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| spl2_28
| ~ spl2_123
| ~ spl2_710 ),
inference(constrained_superposition,[],[f16190,f30445]) ).
thf(f32392,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_710 ),
inference(constrained_superposition,[],[f16238,f30445]) ).
thf(f32397,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_39
| ~ spl2_710 ),
inference(trivial_inequality_removal,[],[f32389]) ).
thf(f32400,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_710 ),
inference(trivial_inequality_removal,[],[f32392]) ).
thf(f32401,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| spl2_28
| ~ spl2_123
| ~ spl2_710 ),
inference(trivial_inequality_removal,[],[f32390]) ).
thf(f32405,plain,
( spl2_716
| spl2_28
| ~ spl2_39
| ~ spl2_710 ),
inference(avatar_split_clause,[],[f32397,f30444,f552,f411,f30508]) ).
thf(f32407,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f32400,f40]) ).
thf(f32408,plain,
( spl2_499
| spl2_716
| spl2_28
| ~ spl2_123
| ~ spl2_710 ),
inference(avatar_split_clause,[],[f32401,f30444,f6020,f411,f30508,f18489]) ).
thf(f32410,plain,
( spl2_499
| spl2_716
| ~ spl2_123
| ~ spl2_710 ),
inference(avatar_split_clause,[],[f32407,f30444,f6020,f30508,f18489]) ).
thf(f32412,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_264
| ~ spl2_544
| ~ spl2_787 ),
inference(constrained_superposition,[],[f20392,f32373]) ).
thf(f32413,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_360
| ~ spl2_787 ),
inference(constrained_superposition,[],[f19904,f32373]) ).
thf(f32417,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_787 ),
inference(constrained_superposition,[],[f19905,f32373]) ).
thf(f32418,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_361
| ~ spl2_787 ),
inference(constrained_superposition,[],[f14512,f32373]) ).
thf(f32453,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_361
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f32418]) ).
thf(f32455,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f32417]) ).
thf(f32456,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_264
| ~ spl2_544
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f32412]) ).
thf(f32481,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_360
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f32413]) ).
thf(f32485,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_361
| spl2_727
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f32453,f30870]) ).
thf(f32486,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| spl2_728
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f32455,f30873]) ).
thf(f32487,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_264
| ~ spl2_544
| spl2_727
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f32456,f30870]) ).
thf(f32502,definition,
( spl2_791
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_791])],[avatar_definition]) ).
thf(f32503,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_791 ),
inference(avatar_component_clause,[],[f32502]) ).
thf(f32505,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_360
| spl2_728
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f32481,f30873]) ).
thf(f32507,plain,
( spl2_508
| ~ spl2_361
| spl2_727
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f32485,f32372,f30869,f14511,f18571]) ).
thf(f32508,plain,
( spl2_508
| ~ spl2_360
| spl2_728
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f32486,f32372,f30872,f14507,f18571]) ).
thf(f32509,plain,
( spl2_204
| spl2_264
| ~ spl2_544
| spl2_727
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f32487,f32372,f30869,f19348,f13671,f11530]) ).
thf(f32511,plain,
( spl2_204
| ~ spl2_360
| spl2_728
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f32505,f32372,f30872,f14507,f11530]) ).
thf(f32529,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_501
| ~ spl2_694 ),
inference(constrained_superposition,[],[f19876,f30326]) ).
thf(f32532,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_694 ),
inference(constrained_superposition,[],[f14533,f30326]) ).
thf(f32539,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f32532]) ).
thf(f32543,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_501
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f32529]) ).
thf(f32549,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_694 ),
inference(forward_subsumption_resolution,[],[f32539,f553]) ).
thf(f32552,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_713 ),
inference(avatar_component_clause,[],[f30476]) ).
thf(f32553,plain,
( spl2_719
| ~ spl2_713
| ~ spl2_501
| ~ spl2_694 ),
inference(avatar_split_clause,[],[f32543,f30325,f18508,f30476,f30572]) ).
thf(f32556,plain,
( spl2_716
| ~ spl2_39
| ~ spl2_694 ),
inference(avatar_split_clause,[],[f32549,f30325,f552,f30508]) ).
thf(f32558,definition,
( spl2_792
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_792])],[avatar_definition]) ).
thf(f32559,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_792 ),
inference(avatar_component_clause,[],[f32558]) ).
thf(f32688,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_544
| ~ spl2_620 ),
inference(constrained_superposition,[],[f31861,f84]) ).
thf(f32698,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_544
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f32688]) ).
thf(f32706,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_779 ),
inference(constrained_superposition,[],[f31981,f84]) ).
thf(f32718,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_779 ),
inference(trivial_inequality_removal,[],[f32706]) ).
thf(f32729,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f553]) ).
thf(f32748,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f32729]) ).
thf(f33019,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_699 ),
inference(constrained_superposition,[],[f30402,f84]) ).
thf(f33024,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_699 ),
inference(trivial_inequality_removal,[],[f33019]) ).
thf(f33031,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_699
| spl2_713 ),
inference(forward_subsumption_resolution,[],[f33024,f32552]) ).
thf(f33033,plain,
( $false
| ~ spl2_164
| ~ spl2_699
| spl2_713 ),
inference(forward_subsumption_resolution,[],[f33031,f10823]) ).
thf(f33034,plain,
( ~ spl2_164
| ~ spl2_699
| spl2_713 ),
inference(avatar_contradiction_clause,[],[f33033]) ).
thf(f33038,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_709 ),
inference(constrained_superposition,[],[f30442,f84]) ).
thf(f33042,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_709 ),
inference(constrained_superposition,[],[f30442,f50]) ).
thf(f33043,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_709 ),
inference(trivial_inequality_removal,[],[f33038]) ).
thf(f33048,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_709 ),
inference(trivial_inequality_removal,[],[f33042]) ).
thf(f33050,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_709
| spl2_713 ),
inference(forward_subsumption_resolution,[],[f33043,f32552]) ).
thf(f33052,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_709
| spl2_714 ),
inference(forward_subsumption_resolution,[],[f33048,f30500]) ).
thf(f33054,plain,
( ~ spl2_241
| ~ spl2_709
| spl2_713 ),
inference(avatar_split_clause,[],[f33050,f30476,f30441,f13268]) ).
thf(f33055,plain,
( ~ spl2_233
| ~ spl2_709
| spl2_714 ),
inference(avatar_split_clause,[],[f33052,f30499,f30441,f12929]) ).
thf(f33060,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_723 ),
inference(constrained_superposition,[],[f30742,f49]) ).
thf(f33067,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_723 ),
inference(trivial_inequality_removal,[],[f33060]) ).
thf(f33071,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_702
| ~ spl2_723 ),
inference(forward_subsumption_resolution,[],[f33067,f30581]) ).
thf(f33073,plain,
( ~ spl2_233
| spl2_702
| ~ spl2_723 ),
inference(avatar_split_clause,[],[f33071,f30741,f30411,f12929]) ).
thf(f33092,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_692
| ~ spl2_792 ),
inference(constrained_superposition,[],[f32559,f30316]) ).
thf(f33100,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_792 ),
inference(constrained_superposition,[],[f32559,f553]) ).
thf(f33118,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_692
| ~ spl2_792 ),
inference(trivial_inequality_removal,[],[f33092]) ).
thf(f33125,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_792 ),
inference(trivial_inequality_removal,[],[f33100]) ).
thf(f33135,plain,
( $false
| ~ spl2_492
| ~ spl2_692
| ~ spl2_792 ),
inference(forward_subsumption_resolution,[],[f33118,f18384]) ).
thf(f33136,plain,
( ~ spl2_492
| ~ spl2_692
| ~ spl2_792 ),
inference(avatar_contradiction_clause,[],[f33135]) ).
thf(f33144,plain,
( $false
| ~ spl2_39
| ~ spl2_792 ),
inference(forward_subsumption_resolution,[],[f33125,f553]) ).
thf(f33145,plain,
( ~ spl2_39
| ~ spl2_792 ),
inference(avatar_contradiction_clause,[],[f33144]) ).
thf(f33158,plain,
( spl2_365
| ~ spl2_8
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f19815,f10822,f116,f14791]) ).
thf(f33159,plain,
( $false
| ~ spl2_183
| ~ spl2_696
| ~ spl2_700 ),
inference(forward_subsumption_resolution,[],[f30405,f32222]) ).
thf(f33160,plain,
( ~ spl2_183
| ~ spl2_696
| ~ spl2_700 ),
inference(avatar_contradiction_clause,[],[f33159]) ).
thf(f33199,definition,
( spl2_803
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_803])],[avatar_definition]) ).
thf(f33200,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_803 ),
inference(avatar_component_clause,[],[f33199]) ).
thf(f33204,definition,
( spl2_804
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_804])],[avatar_definition]) ).
thf(f33205,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_804 ),
inference(avatar_component_clause,[],[f33204]) ).
thf(f33224,plain,
( spl2_501
| ~ spl2_227
| ~ spl2_544
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f32698,f24940,f19348,f12904,f18508]) ).
thf(f33229,plain,
( spl2_501
| spl2_776 ),
inference(avatar_split_clause,[],[f31993,f31967,f18508]) ).
thf(f33231,plain,
( spl2_175
| ~ spl2_49
| spl2_221
| ~ spl2_1
| spl2_161 ),
inference(avatar_split_clause,[],[f24594,f10802,f65,f12810,f700,f10944]) ).
thf(f33264,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f17403,f40]) ).
thf(f33288,definition,
( spl2_816
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_816])],[avatar_definition]) ).
thf(f33289,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_816 ),
inference(avatar_component_clause,[],[f33288]) ).
thf(f33358,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_139
| ~ spl2_183
| ~ spl2_696 ),
inference(forward_subsumption_resolution,[],[f32245,f40]) ).
thf(f33363,plain,
( spl2_501
| ~ spl2_166
| ~ spl2_779 ),
inference(avatar_split_clause,[],[f32718,f31980,f10836,f18508]) ).
thf(f33371,plain,
( spl2_21
| spl2_26
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f27972,f8169,f402,f385]) ).
thf(f33394,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f31933,f40]) ).
thf(f33397,definition,
( spl2_836
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_836])],[avatar_definition]) ).
thf(f33398,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_836 ),
inference(avatar_component_clause,[],[f33397]) ).
thf(f33399,plain,
( spl2_836
| spl2_21
| ~ spl2_139
| ~ spl2_755 ),
inference(avatar_split_clause,[],[f31790,f31091,f8169,f385,f33397]) ).
thf(f33443,plain,
( spl2_513
| ~ spl2_221
| ~ spl2_67
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f32118,f18383,f963,f12810,f18682]) ).
thf(f33473,plain,
( spl2_221
| spl2_21
| ~ spl2_50
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f21638,f10822,f760,f385,f12810]) ).
thf(f33482,plain,
( ~ spl2_25
| spl2_85
| spl2_21 ),
inference(avatar_split_clause,[],[f5326,f385,f1560,f399]) ).
thf(f33483,plain,
( spl2_21
| spl2_221
| spl2_175
| ~ spl2_139
| spl2_161 ),
inference(avatar_split_clause,[],[f24596,f10802,f8169,f10944,f12810,f385]) ).
thf(f33488,plain,
( ~ spl2_180
| ~ spl2_227
| spl2_163
| spl2_161
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f24590,f10822,f10802,f10818,f12904,f10967]) ).
thf(f33531,definition,
( spl2_860
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_860])],[avatar_definition]) ).
thf(f33532,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_860 ),
inference(avatar_component_clause,[],[f33531]) ).
thf(f33557,plain,
( ~ spl2_21
| spl2_34
| ~ spl2_39
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f31299,f11048,f552,f515,f385]) ).
thf(f33567,definition,
( spl2_868
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_868])],[avatar_definition]) ).
thf(f33568,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_868 ),
inference(avatar_component_clause,[],[f33567]) ).
thf(f33579,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_520 ),
inference(forward_subsumption_resolution,[],[f28114,f40]) ).
thf(f33602,plain,
( ~ spl2_221
| ~ spl2_492
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f32114,f19305,f18383,f12810]) ).
thf(f33607,plain,
( spl2_21
| spl2_142
| ~ spl2_37
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f28133,f8169,f526,f8323,f385]) ).
thf(f33655,plain,
( spl2_26
| spl2_21
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f33264,f65,f385,f402]) ).
thf(f33714,plain,
( spl2_702
| spl2_21
| ~ spl2_139
| ~ spl2_183
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f33358,f30333,f11042,f8169,f385,f30411]) ).
thf(f33716,definition,
( spl2_897
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_897])],[avatar_definition]) ).
thf(f33717,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_897 ),
inference(avatar_component_clause,[],[f33716]) ).
thf(f33721,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_513 ),
inference(avatar_component_clause,[],[f18682]) ).
thf(f33722,plain,
( spl2_163
| ~ spl2_513
| ~ spl2_8
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f33394,f30912,f116,f18682,f10818]) ).
thf(f33781,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_139
| spl2_504
| spl2_520 ),
inference(forward_subsumption_resolution,[],[f33579,f18573]) ).
thf(f33828,plain,
( spl2_21
| ~ spl2_139
| spl2_504
| spl2_520 ),
inference(avatar_split_clause,[],[f33781,f18710,f18540,f8169,f385]) ).
thf(f33834,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| spl2_161
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f31937,f18258]) ).
thf(f33846,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f17141,f40]) ).
thf(f33855,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f31881,f40]) ).
thf(f33857,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_700 ),
inference(avatar_component_clause,[],[f30404]) ).
thf(f33859,plain,
( spl2_544
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f31941,f30912,f19348]) ).
thf(f33891,definition,
( spl2_926
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_926])],[avatar_definition]) ).
thf(f33892,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_926 ),
inference(avatar_component_clause,[],[f33891]) ).
thf(f33927,plain,
( spl2_510
| spl2_500
| spl2_499
| ~ spl2_316
| spl2_511 ),
inference(avatar_split_clause,[],[f32037,f18606,f13918,f18489,f18492,f18580]) ).
thf(f33965,plain,
( ~ spl2_50
| spl2_18
| spl2_221
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f21616,f10822,f12810,f374,f760]) ).
thf(f33968,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_161
| ~ spl2_360
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f32013,f18258]) ).
thf(f33973,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f21914,f40]) ).
thf(f33991,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| spl2_161
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f33834,f40]) ).
thf(f33998,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f33846,f40]) ).
thf(f34008,plain,
( spl2_500
| ~ spl2_166
| ~ spl2_8
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f33855,f24940,f116,f10836,f18492]) ).
thf(f34043,plain,
( spl2_500
| spl2_161
| ~ spl2_360
| spl2_526 ),
inference(avatar_split_clause,[],[f33968,f18751,f14507,f10802,f18492]) ).
thf(f34050,plain,
( spl2_205
| spl2_500
| ~ spl2_191
| ~ spl2_360
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f33973,f19305,f14507,f11073,f18492,f11533]) ).
thf(f34059,plain,
( spl2_500
| spl2_163
| ~ spl2_8
| spl2_161
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f33991,f30912,f10802,f116,f10818,f18492]) ).
thf(f34062,plain,
( spl2_21
| spl2_26
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f33998,f65,f402,f385]) ).
thf(f34077,plain,
( spl2_574
| ~ spl2_13
| spl2_504 ),
inference(avatar_split_clause,[],[f19867,f18540,f218,f21046]) ).
thf(f34078,plain,
( ~ spl2_69
| ~ spl2_39
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f20298,f19305,f552,f1078]) ).
thf(f34080,plain,
( ~ spl2_69
| ~ spl2_39
| ~ spl2_716 ),
inference(avatar_split_clause,[],[f32748,f30508,f552,f1078]) ).
thf(f34082,definition,
( spl2_950
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_950])],[avatar_definition]) ).
thf(f34083,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_950 ),
inference(avatar_component_clause,[],[f34082]) ).
thf(f34084,plain,
( spl2_28
| spl2_37
| spl2_950
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f16239,f6020,f34082,f526,f411]) ).
thf(f34131,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ),
inference(forward_subsumption_resolution,[],[f8196,f40]) ).
thf(f34167,plain,
( spl2_18
| spl2_70
| spl2_26 ),
inference(avatar_split_clause,[],[f34131,f402,f1084,f374]) ).
thf(f34187,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_39
| ~ spl2_395
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f32116,f553]) ).
thf(f34197,plain,
( ~ spl2_511
| ~ spl2_39
| ~ spl2_395
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f34187,f18383,f16115,f552,f18606]) ).
thf(f34209,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f69]) ).
thf(f34214,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f34209]) ).
thf(f34219,plain,
( $false
| ~ spl2_2
| ~ spl2_716 ),
inference(forward_subsumption_resolution,[],[f34214,f69]) ).
thf(f34220,plain,
( ~ spl2_2
| ~ spl2_716 ),
inference(avatar_contradiction_clause,[],[f34219]) ).
thf(f34222,plain,
( $false
| ~ spl2_2
| spl2_185 ),
inference(forward_subsumption_resolution,[],[f15520,f69]) ).
thf(f34223,plain,
( ~ spl2_2
| spl2_185 ),
inference(avatar_contradiction_clause,[],[f34222]) ).
thf(f34229,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_25 ),
inference(constrained_superposition,[],[f400,f50]) ).
thf(f34231,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f34229]) ).
thf(f34233,plain,
( spl2_70
| spl2_25 ),
inference(avatar_split_clause,[],[f34231,f399,f1084]) ).
thf(f34247,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_164
| ~ spl2_204 ),
inference(constrained_superposition,[],[f10823,f11531]) ).
thf(f34249,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_204
| ~ spl2_325 ),
inference(constrained_superposition,[],[f13956,f11531]) ).
thf(f34251,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_204
| ~ spl2_386 ),
inference(constrained_superposition,[],[f15729,f11531]) ).
thf(f34257,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_204
| spl2_540 ),
inference(constrained_superposition,[],[f19288,f11531]) ).
thf(f34259,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_164
| ~ spl2_204 ),
inference(constrained_superposition,[],[f19806,f11531]) ).
thf(f34261,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_204
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f11531]) ).
thf(f34277,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f83,f11531]) ).
thf(f34281,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f93,f11531]) ).
thf(f34283,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f194,f11531]) ).
thf(f34286,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f363,f11531]) ).
thf(f34287,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_39
| ~ spl2_204 ),
inference(constrained_superposition,[],[f553,f11531]) ).
thf(f34288,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_204 ),
inference(constrained_superposition,[],[f1216,f11531]) ).
thf(f34333,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_204 ),
inference(constrained_superposition,[],[f15299,f11531]) ).
thf(f34338,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_204 ),
inference(constrained_superposition,[],[f22414,f11531]) ).
thf(f34347,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_204 ),
inference(duplicate_literal_removal,[],[f34338]) ).
thf(f34352,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_204
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f34249]) ).
thf(f34354,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f462]) ).
thf(f34356,plain,
( spl2_350
| ~ spl2_204
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f34251,f15728,f11530,f14179]) ).
thf(f34358,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_6
| ~ spl2_8
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34333,f106]) ).
thf(f34359,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| spl2_82
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34281,f3445]) ).
thf(f34361,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| spl2_82
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34288,f3445]) ).
thf(f34362,plain,
( spl2_69
| spl2_40
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34286,f11530,f555,f1078]) ).
thf(f34365,plain,
( spl2_31
| spl2_69
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34283,f11530,f1078,f462]) ).
thf(f34367,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8
| ~ spl2_164
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34259,f27]) ).
thf(f34368,plain,
( ~ spl2_191
| ~ spl2_204
| spl2_526 ),
inference(avatar_split_clause,[],[f34261,f18751,f11530,f11073]) ).
thf(f34370,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_6
| ~ spl2_8
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34347,f106]) ).
thf(f34373,plain,
( spl2_69
| ~ spl2_39
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34287,f11530,f552,f1078]) ).
thf(f34374,plain,
( ~ spl2_28
| ~ spl2_204
| spl2_540 ),
inference(avatar_split_clause,[],[f34257,f19287,f11530,f411]) ).
thf(f34376,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_82
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34277,f3445]) ).
thf(f34378,plain,
( $false
| spl2_82
| ~ spl2_164
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34247,f3445]) ).
thf(f34379,plain,
( spl2_82
| ~ spl2_164
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f34378]) ).
thf(f34384,plain,
( spl2_352
| ~ spl2_204
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f34352,f13955,f11530,f14189]) ).
thf(f34385,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_6
| ~ spl2_8
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34358,f40]) ).
thf(f34386,plain,
( spl2_81
| spl2_82
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34359,f11530,f1476,f1473]) ).
thf(f34388,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| spl2_82
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34361,f959]) ).
thf(f34392,plain,
( spl2_352
| ~ spl2_8
| ~ spl2_164
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34367,f11530,f10822,f116,f14189]) ).
thf(f34394,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_6
| ~ spl2_8
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34370,f40]) ).
thf(f34396,plain,
( $false
| spl2_6
| spl2_82
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f34376,f106]) ).
thf(f34397,plain,
( spl2_6
| spl2_82
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f34396]) ).
thf(f34401,plain,
( spl2_350
| spl2_6
| ~ spl2_8
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34385,f11530,f116,f105,f14179]) ).
thf(f34402,plain,
( spl2_77
| ~ spl2_43
| spl2_82
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34388,f11530,f1476,f579,f1345]) ).
thf(f34403,plain,
( spl2_352
| spl2_6
| ~ spl2_8
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f34394,f11530,f116,f105,f14189]) ).
thf(f34410,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_8
| ~ spl2_28 ),
inference(constrained_superposition,[],[f117,f505]) ).
thf(f34442,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f34410]) ).
thf(f34459,plain,
( spl2_106
| ~ spl2_8
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f34442,f411,f116,f3578]) ).
thf(f34464,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_8
| spl2_23 ),
inference(constrained_superposition,[],[f965,f22414]) ).
thf(f34471,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| spl2_23 ),
inference(trivial_inequality_removal,[],[f34464]) ).
thf(f34479,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_8
| spl2_23 ),
inference(forward_subsumption_resolution,[],[f34471,f40]) ).
thf(f34485,plain,
( spl2_41
| ~ spl2_8
| spl2_23 ),
inference(avatar_split_clause,[],[f34479,f392,f116,f571]) ).
thf(f34514,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_264 ),
inference(constrained_superposition,[],[f848,f13672]) ).
thf(f34517,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f34514]) ).
thf(f34519,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_154
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f34517,f10739]) ).
thf(f34520,plain,
( spl2_472
| ~ spl2_9
| ~ spl2_154
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f34519,f13671,f10738,f126,f17573]) ).
thf(f34547,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_166 ),
inference(constrained_superposition,[],[f15490,f27]) ).
thf(f34549,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_166 ),
inference(trivial_inequality_removal,[],[f34547]) ).
thf(f34552,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_161
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f34549,f18258]) ).
thf(f34555,plain,
( spl2_163
| spl2_161
| spl2_166 ),
inference(avatar_split_clause,[],[f34552,f10836,f10802,f10818]) ).
thf(f34570,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_712 ),
inference(constrained_superposition,[],[f84,f30456]) ).
thf(f34575,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_712 ),
inference(constrained_superposition,[],[f194,f30456]) ).
thf(f34578,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_712 ),
inference(constrained_superposition,[],[f363,f30456]) ).
thf(f34580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_712 ),
inference(constrained_superposition,[],[f1216,f30456]) ).
thf(f34585,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_386
| ~ spl2_712 ),
inference(constrained_superposition,[],[f27546,f30456]) ).
thf(f34628,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_712 ),
inference(constrained_superposition,[],[f15299,f30456]) ).
thf(f34645,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34580,f959]) ).
thf(f34646,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34628,f40]) ).
thf(f34653,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_69
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34578,f1293]) ).
thf(f34658,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_82
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34570,f3445]) ).
thf(f34659,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34575,f463]) ).
thf(f34660,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_6
| ~ spl2_386
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34585,f106]) ).
thf(f34666,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| spl2_82
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34645,f3445]) ).
thf(f34667,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_6
| ~ spl2_8
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34646,f106]) ).
thf(f34674,plain,
( spl2_40
| spl2_69
| ~ spl2_712 ),
inference(avatar_split_clause,[],[f34653,f30455,f1078,f555]) ).
thf(f34679,plain,
( $false
| spl2_6
| spl2_82
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34658,f106]) ).
thf(f34680,plain,
( spl2_6
| spl2_82
| ~ spl2_712 ),
inference(avatar_contradiction_clause,[],[f34679]) ).
thf(f34681,plain,
( $false
| spl2_31
| spl2_69
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34659,f1293]) ).
thf(f34682,plain,
( spl2_31
| spl2_69
| ~ spl2_712 ),
inference(avatar_contradiction_clause,[],[f34681]) ).
thf(f34683,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_6
| spl2_371
| ~ spl2_386
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f34660,f15796]) ).
thf(f34686,plain,
( spl2_77
| ~ spl2_43
| spl2_82
| ~ spl2_712 ),
inference(avatar_split_clause,[],[f34666,f30455,f1476,f579,f1345]) ).
thf(f34687,plain,
( spl2_350
| spl2_6
| ~ spl2_8
| ~ spl2_712 ),
inference(avatar_split_clause,[],[f34667,f30455,f116,f105,f14179]) ).
thf(f34692,plain,
( spl2_205
| spl2_6
| spl2_371
| ~ spl2_386
| ~ spl2_712 ),
inference(avatar_split_clause,[],[f34683,f30455,f15728,f14996,f105,f11533]) ).
thf(f34696,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_191
| ~ spl2_628 ),
inference(constrained_superposition,[],[f26618,f12895]) ).
thf(f34699,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_191
| ~ spl2_628 ),
inference(trivial_inequality_removal,[],[f34696]) ).
thf(f34702,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_191
| ~ spl2_628 ),
inference(forward_subsumption_resolution,[],[f34699,f40]) ).
thf(f34703,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_185
| ~ spl2_191
| ~ spl2_628 ),
inference(forward_subsumption_resolution,[],[f34702,f15520]) ).
thf(f34704,plain,
( spl2_510
| spl2_185
| ~ spl2_191
| ~ spl2_628 ),
inference(avatar_split_clause,[],[f34703,f26617,f11073,f11048,f18580]) ).
thf(f34705,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_241 ),
inference(constrained_superposition,[],[f13269,f84]) ).
thf(f34710,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_241 ),
inference(trivial_inequality_removal,[],[f34705]) ).
thf(f34713,plain,
( $false
| spl2_241
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f34710,f15796]) ).
thf(f34714,plain,
( spl2_241
| spl2_371 ),
inference(avatar_contradiction_clause,[],[f34713]) ).
thf(f34718,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| spl2_559 ),
inference(constrained_superposition,[],[f19723,f49]) ).
thf(f34720,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| spl2_559 ),
inference(trivial_inequality_removal,[],[f34718]) ).
thf(f34722,plain,
( spl2_504
| spl2_559 ),
inference(avatar_split_clause,[],[f34720,f19722,f18540]) ).
thf(f34731,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_503 ),
inference(constrained_superposition,[],[f24,f19275]) ).
thf(f34732,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_503 ),
inference(trivial_inequality_removal,[],[f34731]) ).
thf(f34737,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_504 ),
inference(constrained_superposition,[],[f93,f18541]) ).
thf(f34739,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f34737]) ).
thf(f34742,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_504 ),
inference(forward_subsumption_resolution,[],[f34739,f959]) ).
thf(f34743,plain,
( spl2_502
| spl2_513
| ~ spl2_43
| ~ spl2_504 ),
inference(avatar_split_clause,[],[f34742,f18540,f579,f18682,f18527]) ).
thf(f34744,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_225 ),
inference(constrained_superposition,[],[f12898,f193]) ).
thf(f34746,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_225 ),
inference(constrained_superposition,[],[f12898,f51]) ).
thf(f34749,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_225 ),
inference(trivial_inequality_removal,[],[f34746]) ).
thf(f34750,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_225 ),
inference(trivial_inequality_removal,[],[f34744]) ).
thf(f34753,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_161
| spl2_225 ),
inference(forward_subsumption_resolution,[],[f34749,f18258]) ).
thf(f34754,plain,
( spl2_221
| spl2_225 ),
inference(avatar_split_clause,[],[f34750,f12897,f12810]) ).
thf(f34756,plain,
( spl2_221
| spl2_161
| spl2_225 ),
inference(avatar_split_clause,[],[f34753,f12897,f10802,f12810]) ).
thf(f34826,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f3579,f49]) ).
thf(f34834,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f34826]) ).
thf(f34837,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_212
| ~ spl2_264 ),
inference(constrained_superposition,[],[f11921,f13672]) ).
thf(f34844,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_212
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f34837]) ).
thf(f34849,plain,
( $false
| ~ spl2_9
| ~ spl2_212
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f34844,f837]) ).
thf(f34850,plain,
( ~ spl2_9
| ~ spl2_212
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f34849]) ).
thf(f34853,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_507
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f32019,f40]) ).
thf(f34856,plain,
( ~ spl2_154
| spl2_472
| ~ spl2_9
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f34517,f13671,f126,f17573,f10738]) ).
thf(f34857,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_513
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f20724,f33721]) ).
thf(f34862,plain,
( spl2_371
| spl2_386
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f20480,f10822,f15728,f14996]) ).
thf(f34865,plain,
( spl2_510
| spl2_154
| ~ spl2_507
| spl2_526 ),
inference(avatar_split_clause,[],[f34853,f18751,f18551,f10738,f18580]) ).
thf(f34868,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_264
| spl2_513
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f34857,f13672]) ).
thf(f34872,plain,
( ~ spl2_186
| ~ spl2_264
| spl2_513
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f34868,f18714,f18682,f13671,f11052]) ).
thf(f34899,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| spl2_154 ),
inference(constrained_superposition,[],[f11063,f3250]) ).
thf(f34902,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| spl2_154 ),
inference(trivial_inequality_removal,[],[f34899]) ).
thf(f34904,plain,
( spl2_551
| spl2_154 ),
inference(avatar_split_clause,[],[f34902,f10738,f19472]) ).
thf(f34926,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_8
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1346,f17895]) ).
thf(f34939,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_8
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f34926]) ).
thf(f34943,plain,
( spl2_14
| ~ spl2_8
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f34939,f1345,f116,f280]) ).
thf(f34953,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_186
| ~ spl2_463 ),
inference(constrained_superposition,[],[f16989,f14947]) ).
thf(f34959,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_186
| ~ spl2_463 ),
inference(trivial_inequality_removal,[],[f34953]) ).
thf(f34961,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_9
| ~ spl2_186
| ~ spl2_463 ),
inference(forward_subsumption_resolution,[],[f34959,f837]) ).
thf(f34963,plain,
( $false
| ~ spl2_9
| ~ spl2_163
| ~ spl2_186
| ~ spl2_463 ),
inference(forward_subsumption_resolution,[],[f34961,f15504]) ).
thf(f34964,plain,
( ~ spl2_9
| ~ spl2_163
| ~ spl2_186
| ~ spl2_463 ),
inference(avatar_contradiction_clause,[],[f34963]) ).
thf(f34982,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_221
| ~ spl2_367 ),
inference(constrained_superposition,[],[f12811,f14800]) ).
thf(f34985,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_221
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f34982]) ).
thf(f34987,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_22
| spl2_221
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f34985,f10844]) ).
thf(f35009,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_175
| ~ spl2_205 ),
inference(constrained_superposition,[],[f10945,f11534]) ).
thf(f35014,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_205
| ~ spl2_325 ),
inference(constrained_superposition,[],[f13956,f11534]) ).
thf(f35016,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_186
| ~ spl2_205 ),
inference(constrained_superposition,[],[f14947,f11534]) ).
thf(f35017,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_205
| spl2_371 ),
inference(constrained_superposition,[],[f15796,f11534]) ).
thf(f35019,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_205
| ~ spl2_504 ),
inference(constrained_superposition,[],[f18541,f11534]) ).
thf(f35020,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_205
| spl2_501 ),
inference(constrained_superposition,[],[f18942,f11534]) ).
thf(f35021,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_205
| ~ spl2_503 ),
inference(constrained_superposition,[],[f19275,f11534]) ).
thf(f35023,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_205
| spl2_559 ),
inference(constrained_superposition,[],[f19723,f11534]) ).
thf(f35028,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_205
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f11534]) ).
thf(f35032,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_205
| ~ spl2_733 ),
inference(constrained_superposition,[],[f30913,f11534]) ).
thf(f35035,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f194,f11534]) ).
thf(f35039,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_39
| ~ spl2_205 ),
inference(constrained_superposition,[],[f553,f11534]) ).
thf(f35105,plain,
( ~ spl2_588
| ~ spl2_205
| spl2_526 ),
inference(avatar_split_clause,[],[f35028,f18751,f11533,f22531]) ).
thf(f35107,plain,
( ~ spl2_151
| ~ spl2_205
| spl2_559 ),
inference(avatar_split_clause,[],[f35023,f19722,f11533,f10722]) ).
thf(f35108,plain,
( $false
| spl2_23
| ~ spl2_186
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f35016,f965]) ).
thf(f35109,plain,
( spl2_23
| ~ spl2_186
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f35108]) ).
thf(f35110,plain,
( $false
| ~ spl2_205
| ~ spl2_264
| spl2_501 ),
inference(forward_subsumption_resolution,[],[f35020,f13672]) ).
thf(f35111,plain,
( ~ spl2_205
| ~ spl2_264
| spl2_501 ),
inference(avatar_contradiction_clause,[],[f35110]) ).
thf(f35112,plain,
( $false
| ~ spl2_57
| ~ spl2_205
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f35017,f820]) ).
thf(f35113,plain,
( ~ spl2_57
| ~ spl2_205
| spl2_371 ),
inference(avatar_contradiction_clause,[],[f35112]) ).
thf(f35114,plain,
( spl2_41
| ~ spl2_205
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f35014,f13955,f11533,f571]) ).
thf(f35118,plain,
( $false
| ~ spl2_39
| spl2_69
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f35039,f1293]) ).
thf(f35119,plain,
( ~ spl2_39
| spl2_69
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f35118]) ).
thf(f35120,plain,
( $false
| spl2_21
| ~ spl2_175
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f35009,f500]) ).
thf(f35121,plain,
( spl2_21
| ~ spl2_175
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f35120]) ).
thf(f35124,plain,
( $false
| spl2_185
| ~ spl2_205
| ~ spl2_503 ),
inference(forward_subsumption_resolution,[],[f35021,f15520]) ).
thf(f35125,plain,
( spl2_185
| ~ spl2_205
| ~ spl2_503 ),
inference(avatar_contradiction_clause,[],[f35124]) ).
thf(f35127,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_69
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f35035,f1293]) ).
thf(f35131,plain,
( $false
| spl2_154
| ~ spl2_205
| ~ spl2_504 ),
inference(forward_subsumption_resolution,[],[f35019,f11063]) ).
thf(f35132,plain,
( spl2_154
| ~ spl2_205
| ~ spl2_504 ),
inference(avatar_contradiction_clause,[],[f35131]) ).
thf(f35133,plain,
( $false
| ~ spl2_205
| spl2_576
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f35032,f21357]) ).
thf(f35134,plain,
( ~ spl2_205
| spl2_576
| ~ spl2_733 ),
inference(avatar_contradiction_clause,[],[f35133]) ).
thf(f35139,plain,
( $false
| spl2_69
| ~ spl2_171
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f35127,f10872]) ).
thf(f35140,plain,
( spl2_69
| ~ spl2_171
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f35139]) ).
thf(f35145,plain,
( spl2_205
| spl2_23
| spl2_22
| spl2_221
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f34987,f14799,f12810,f389,f392,f11533]) ).
thf(f35222,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_56 ),
inference(constrained_superposition,[],[f817,f34354]) ).
thf(f35227,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f89,f34354]) ).
thf(f35230,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f3543,f34354]) ).
thf(f35237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f26,f34354]) ).
thf(f35249,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_31
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f35222]) ).
thf(f35259,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f35227]) ).
thf(f35262,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f35230]) ).
thf(f35266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f35237]) ).
thf(f35272,plain,
( ~ spl2_50
| ~ spl2_31
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f35249,f816,f462,f760]) ).
thf(f35274,plain,
( spl2_123
| spl2_68
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f35259,f462,f1075,f6020]) ).
thf(f35276,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f35262,f50]) ).
thf(f35277,plain,
( spl2_40
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f35266,f462,f555]) ).
thf(f35279,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_31
| spl2_70 ),
inference(forward_subsumption_resolution,[],[f35276,f1492]) ).
thf(f35280,plain,
( spl2_123
| ~ spl2_31
| spl2_70 ),
inference(avatar_split_clause,[],[f35279,f1084,f462,f6020]) ).
thf(f35341,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_368
| ~ spl2_513 ),
inference(constrained_superposition,[],[f14804,f18683]) ).
thf(f35348,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_366
| ~ spl2_513 ),
inference(constrained_superposition,[],[f14796,f18683]) ).
thf(f35369,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_368
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f35341]) ).
thf(f35382,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_366
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f35348]) ).
thf(f35392,plain,
( spl2_489
| spl2_459
| ~ spl2_368
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f35369,f18682,f14803,f16967,f18373]) ).
thf(f35395,plain,
( spl2_517
| spl2_489
| ~ spl2_366
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f35382,f18682,f14795,f18373,f18700]) ).
thf(f35456,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f35458,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f35456]) ).
thf(f35573,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_178 ),
inference(constrained_superposition,[],[f14533,f10956]) ).
thf(f35578,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f35573]) ).
thf(f35579,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f35578,f553]) ).
thf(f35580,plain,
( spl2_211
| ~ spl2_39
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f35579,f10955,f552,f11912]) ).
thf(f35621,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_368
| ~ spl2_787 ),
inference(constrained_superposition,[],[f14804,f32373]) ).
thf(f35625,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_787 ),
inference(constrained_superposition,[],[f117,f32373]) ).
thf(f35628,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_366
| ~ spl2_787 ),
inference(constrained_superposition,[],[f14796,f32373]) ).
thf(f35649,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_366
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f35628]) ).
thf(f35654,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_368
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f35621]) ).
thf(f35662,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f35625]) ).
thf(f35673,plain,
( spl2_721
| spl2_696
| ~ spl2_366
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f35649,f32372,f14795,f30333,f30585]) ).
thf(f35675,plain,
( spl2_510
| spl2_696
| ~ spl2_368
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f35654,f32372,f14803,f30333,f18580]) ).
thf(f35677,plain,
( spl2_791
| ~ spl2_8
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f35662,f32372,f116,f32502]) ).
thf(f35686,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1076,f49]) ).
thf(f35691,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f35686]) ).
thf(f35694,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_472 ),
inference(constrained_superposition,[],[f17574,f553]) ).
thf(f35701,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| ~ spl2_472 ),
inference(constrained_superposition,[],[f17574,f375]) ).
thf(f35706,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f35694]) ).
thf(f35710,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f35701]) ).
thf(f35716,plain,
( $false
| ~ spl2_23
| ~ spl2_39
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f35706,f393]) ).
thf(f35717,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f35716]) ).
thf(f35721,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_23
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f35710,f393]) ).
thf(f35725,plain,
( $false
| ~ spl2_18
| ~ spl2_23
| spl2_188
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f35721,f18255]) ).
thf(f35726,plain,
( ~ spl2_18
| ~ spl2_23
| spl2_188
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f35725]) ).
thf(f35742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_860 ),
inference(constrained_superposition,[],[f33532,f27]) ).
thf(f35743,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_860 ),
inference(constrained_superposition,[],[f33532,f51]) ).
thf(f35749,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_860 ),
inference(trivial_inequality_removal,[],[f35742]) ).
thf(f35750,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_860 ),
inference(trivial_inequality_removal,[],[f35743]) ).
thf(f35756,plain,
( spl2_362
| ~ spl2_860 ),
inference(avatar_split_clause,[],[f35749,f33531,f14515]) ).
thf(f35757,plain,
( spl2_361
| ~ spl2_860 ),
inference(avatar_split_clause,[],[f35750,f33531,f14511]) ).
thf(f35848,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_365 ),
inference(constrained_superposition,[],[f14792,f193]) ).
thf(f35859,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f35848]) ).
thf(f35866,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_897 ),
inference(constrained_superposition,[],[f33717,f49]) ).
thf(f35875,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_897 ),
inference(trivial_inequality_removal,[],[f35866]) ).
thf(f35876,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_154
| ~ spl2_897 ),
inference(forward_subsumption_resolution,[],[f35875,f11063]) ).
thf(f35877,plain,
( ~ spl2_25
| spl2_154
| ~ spl2_897 ),
inference(avatar_split_clause,[],[f35876,f33716,f10738,f399]) ).
thf(f35922,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f35458,f84]) ).
thf(f35929,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_164 ),
inference(constrained_superposition,[],[f35458,f10823]) ).
thf(f35943,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f35922]) ).
thf(f35946,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f35929]) ).
thf(f36151,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_492
| ~ spl2_547 ),
inference(constrained_superposition,[],[f19455,f18384]) ).
thf(f36170,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_492
| ~ spl2_547 ),
inference(trivial_inequality_removal,[],[f36151]) ).
thf(f36173,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_492
| ~ spl2_503
| ~ spl2_547 ),
inference(forward_subsumption_resolution,[],[f36170,f19275]) ).
thf(f36175,plain,
( $false
| ~ spl2_492
| ~ spl2_503
| ~ spl2_504
| ~ spl2_547 ),
inference(forward_subsumption_resolution,[],[f36173,f18541]) ).
thf(f36176,plain,
( ~ spl2_492
| ~ spl2_503
| ~ spl2_504
| ~ spl2_547 ),
inference(avatar_contradiction_clause,[],[f36175]) ).
thf(f36184,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f93,f6021]) ).
thf(f36186,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f36184]) ).
thf(f36194,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| spl2_28
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f36186,f412]) ).
thf(f36195,plain,
( spl2_803
| spl2_28
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f36194,f6020,f411,f33199]) ).
thf(f36204,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_176
| ~ spl2_469 ),
inference(constrained_superposition,[],[f17315,f10948]) ).
thf(f36221,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_176
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f36204]) ).
thf(f36226,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_163
| ~ spl2_176
| ~ spl2_469 ),
inference(forward_subsumption_resolution,[],[f36221,f15504]) ).
thf(f36227,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_710 ),
inference(avatar_component_clause,[],[f30444]) ).
thf(f36230,plain,
( $false
| ~ spl2_163
| ~ spl2_176
| spl2_188
| ~ spl2_469 ),
inference(forward_subsumption_resolution,[],[f36226,f18255]) ).
thf(f36231,plain,
( ~ spl2_163
| ~ spl2_176
| spl2_188
| ~ spl2_469 ),
inference(avatar_contradiction_clause,[],[f36230]) ).
thf(f36268,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_698 ),
inference(constrained_superposition,[],[f57,f30341]) ).
thf(f36278,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_698 ),
inference(constrained_superposition,[],[f15299,f30341]) ).
thf(f36297,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f36278]) ).
thf(f36298,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f36268]) ).
thf(f36312,definition,
( spl2_968
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_968])],[avatar_definition]) ).
thf(f36313,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_968 ),
inference(avatar_component_clause,[],[f36312]) ).
thf(f36326,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_698 ),
inference(forward_subsumption_resolution,[],[f36297,f40]) ).
thf(f36327,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_698
| spl2_702 ),
inference(forward_subsumption_resolution,[],[f36298,f30581]) ).
thf(f36337,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| spl2_500
| ~ spl2_698 ),
inference(forward_subsumption_resolution,[],[f36326,f31078]) ).
thf(f36338,plain,
( spl2_968
| ~ spl2_698
| spl2_702 ),
inference(avatar_split_clause,[],[f36327,f30411,f30340,f36312]) ).
thf(f36343,plain,
( $false
| ~ spl2_8
| spl2_500
| ~ spl2_698
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f36337,f32373]) ).
thf(f36344,plain,
( ~ spl2_8
| spl2_500
| ~ spl2_698
| ~ spl2_787 ),
inference(avatar_contradiction_clause,[],[f36343]) ).
thf(f36409,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_926 ),
inference(constrained_superposition,[],[f33892,f50]) ).
thf(f36414,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_926 ),
inference(trivial_inequality_removal,[],[f36409]) ).
thf(f36422,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_697
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f30338]) ).
thf(f36436,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_697
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f36422]) ).
thf(f36456,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_504
| ~ spl2_516 ),
inference(constrained_superposition,[],[f18694,f18541]) ).
thf(f36462,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_504
| ~ spl2_516 ),
inference(trivial_inequality_removal,[],[f36456]) ).
thf(f36471,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_43
| ~ spl2_504
| ~ spl2_516 ),
inference(forward_subsumption_resolution,[],[f36462,f959]) ).
thf(f36473,plain,
( $false
| ~ spl2_43
| ~ spl2_504
| ~ spl2_516 ),
inference(forward_subsumption_resolution,[],[f36471,f40]) ).
thf(f36474,plain,
( ~ spl2_43
| ~ spl2_504
| ~ spl2_516 ),
inference(avatar_contradiction_clause,[],[f36473]) ).
thf(f36498,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497
| ~ spl2_513 ),
inference(constrained_superposition,[],[f18480,f18683]) ).
thf(f36503,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f36498]) ).
thf(f36510,plain,
( ~ spl2_241
| ~ spl2_497
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f36503,f18682,f18479,f13268]) ).
thf(f36513,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_568 ),
inference(constrained_superposition,[],[f20176,f84]) ).
thf(f36522,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_568 ),
inference(trivial_inequality_removal,[],[f36513]) ).
thf(f36527,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_501
| ~ spl2_568 ),
inference(forward_subsumption_resolution,[],[f36522,f18942]) ).
thf(f36528,plain,
( ~ spl2_241
| spl2_501
| ~ spl2_568 ),
inference(avatar_split_clause,[],[f36527,f20175,f18508,f13268]) ).
thf(f36529,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_804 ),
inference(constrained_superposition,[],[f33205,f553]) ).
thf(f36532,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_692
| ~ spl2_804 ),
inference(constrained_superposition,[],[f33205,f30316]) ).
thf(f36534,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_713
| ~ spl2_804 ),
inference(constrained_superposition,[],[f33205,f30477]) ).
thf(f36541,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_713
| ~ spl2_804 ),
inference(trivial_inequality_removal,[],[f36534]) ).
thf(f36542,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_804 ),
inference(trivial_inequality_removal,[],[f36529]) ).
thf(f36545,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_692
| ~ spl2_804 ),
inference(trivial_inequality_removal,[],[f36532]) ).
thf(f36553,plain,
( $false
| ~ spl2_264
| ~ spl2_713
| ~ spl2_804 ),
inference(forward_subsumption_resolution,[],[f36541,f13672]) ).
thf(f36554,plain,
( ~ spl2_264
| ~ spl2_713
| ~ spl2_804 ),
inference(avatar_contradiction_clause,[],[f36553]) ).
thf(f36555,plain,
( $false
| ~ spl2_39
| ~ spl2_804 ),
inference(forward_subsumption_resolution,[],[f36542,f553]) ).
thf(f36556,plain,
( ~ spl2_39
| ~ spl2_804 ),
inference(avatar_contradiction_clause,[],[f36555]) ).
thf(f36558,plain,
( $false
| ~ spl2_176
| ~ spl2_692
| ~ spl2_804 ),
inference(forward_subsumption_resolution,[],[f36545,f10948]) ).
thf(f36559,plain,
( ~ spl2_176
| ~ spl2_692
| ~ spl2_804 ),
inference(avatar_contradiction_clause,[],[f36558]) ).
thf(f36649,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_163
| ~ spl2_803 ),
inference(constrained_superposition,[],[f33200,f15504]) ).
thf(f36661,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_803 ),
inference(trivial_inequality_removal,[],[f36649]) ).
thf(f36694,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_492
| ~ spl2_550 ),
inference(constrained_superposition,[],[f19467,f18384]) ).
thf(f36696,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_550 ),
inference(constrained_superposition,[],[f19467,f83]) ).
thf(f36704,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_550 ),
inference(trivial_inequality_removal,[],[f36696]) ).
thf(f36705,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_492
| ~ spl2_550 ),
inference(trivial_inequality_removal,[],[f36694]) ).
thf(f36949,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_503
| ~ spl2_694 ),
inference(constrained_superposition,[],[f34732,f30326]) ).
thf(f36968,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_503
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f36949]) ).
thf(f36975,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_503
| ~ spl2_694
| ~ spl2_714 ),
inference(forward_subsumption_resolution,[],[f36968,f32352]) ).
thf(f36976,plain,
( spl2_715
| ~ spl2_503
| ~ spl2_694
| ~ spl2_714 ),
inference(avatar_split_clause,[],[f36975,f30499,f30325,f18530,f30502]) ).
thf(f36990,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_693 ),
inference(constrained_superposition,[],[f17425,f30323]) ).
thf(f36991,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_693
| ~ spl2_791 ),
inference(constrained_superposition,[],[f32503,f30323]) ).
thf(f36993,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_693 ),
inference(constrained_superposition,[],[f15299,f30323]) ).
thf(f37001,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_693 ),
inference(constrained_superposition,[],[f17422,f30323]) ).
thf(f37002,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_693
| ~ spl2_791 ),
inference(trivial_inequality_removal,[],[f36991]) ).
thf(f37012,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f37001]) ).
thf(f37016,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f36993]) ).
thf(f37019,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f36990]) ).
thf(f37027,plain,
( $false
| ~ spl2_513
| ~ spl2_693
| ~ spl2_791 ),
inference(forward_subsumption_resolution,[],[f37002,f18683]) ).
thf(f37028,plain,
( ~ spl2_513
| ~ spl2_693
| ~ spl2_791 ),
inference(avatar_contradiction_clause,[],[f37027]) ).
thf(f37031,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_693
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f37012,f36227]) ).
thf(f37034,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f37016,f40]) ).
thf(f37036,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| spl2_500
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f37019,f31078]) ).
thf(f37038,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| spl2_500
| ~ spl2_693
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f37031,f31078]) ).
thf(f37039,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_513
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f37034,f18683]) ).
thf(f37040,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| spl2_500
| ~ spl2_693
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f37036,f36227]) ).
thf(f37041,plain,
( spl2_499
| spl2_712
| ~ spl2_8
| spl2_500
| ~ spl2_693
| spl2_710 ),
inference(avatar_split_clause,[],[f37038,f30444,f30322,f18492,f116,f30455,f18489]) ).
thf(f37042,plain,
( $false
| ~ spl2_8
| ~ spl2_513
| ~ spl2_693
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f37039,f36227]) ).
thf(f37043,plain,
( ~ spl2_8
| ~ spl2_513
| ~ spl2_693
| spl2_710 ),
inference(avatar_contradiction_clause,[],[f37042]) ).
thf(f37044,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| spl2_500
| ~ spl2_693
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f37040,f40]) ).
thf(f37045,plain,
( spl2_712
| ~ spl2_8
| spl2_500
| ~ spl2_693
| spl2_710 ),
inference(avatar_split_clause,[],[f37044,f30444,f30322,f18492,f116,f30455]) ).
thf(f37048,plain,
( ~ spl2_503
| ~ spl2_511
| ~ spl2_492
| ~ spl2_550 ),
inference(avatar_split_clause,[],[f36705,f19466,f18383,f18606,f18530]) ).
thf(f37050,plain,
( ~ spl2_234
| spl2_503
| ~ spl2_926 ),
inference(avatar_split_clause,[],[f36414,f33891,f18530,f12935]) ).
thf(f37071,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f24,f11078]) ).
thf(f37076,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f37071]) ).
thf(f37111,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_549 ),
inference(constrained_superposition,[],[f19463,f10964]) ).
thf(f37113,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_164
| ~ spl2_179 ),
inference(constrained_superposition,[],[f19814,f10964]) ).
thf(f37115,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f3527,f10964]) ).
thf(f37135,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f37115]) ).
thf(f37136,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_164
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f37113]) ).
thf(f37159,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_179
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f37111]) ).
thf(f37160,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_179
| spl2_186 ),
inference(forward_subsumption_resolution,[],[f37135,f11053]) ).
thf(f37161,plain,
( spl2_240
| ~ spl2_164
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f37136,f10963,f10822,f13264]) ).
thf(f37167,plain,
( ~ spl2_234
| ~ spl2_179
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f37159,f19462,f10963,f12935]) ).
thf(f37168,plain,
( spl2_370
| ~ spl2_179
| spl2_186 ),
inference(avatar_split_clause,[],[f37160,f11052,f10963,f14949]) ).
thf(f37170,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_494 ),
inference(constrained_superposition,[],[f18393,f10968]) ).
thf(f37175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_180
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f10968]) ).
thf(f37206,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_180
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f37170]) ).
thf(f37224,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_180
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f37175]) ).
thf(f37237,plain,
( spl2_370
| ~ spl2_180
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f37224,f19348,f10967,f14949]) ).
thf(f37312,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_365
| ~ spl2_691 ),
inference(constrained_superposition,[],[f14792,f30313]) ).
thf(f37315,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_691 ),
inference(constrained_superposition,[],[f15299,f30313]) ).
thf(f37329,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f37315]) ).
thf(f37331,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_365
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f37312]) ).
thf(f37351,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f37329,f40]) ).
thf(f37352,plain,
( $false
| ~ spl2_365
| ~ spl2_691
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f37331,f32373]) ).
thf(f37353,plain,
( ~ spl2_365
| ~ spl2_691
| ~ spl2_787 ),
inference(avatar_contradiction_clause,[],[f37352]) ).
thf(f37360,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| spl2_186
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f37351,f11053]) ).
thf(f37365,plain,
( $false
| ~ spl2_8
| spl2_186
| ~ spl2_691
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f37360,f32373]) ).
thf(f37366,plain,
( ~ spl2_8
| spl2_186
| ~ spl2_691
| ~ spl2_787 ),
inference(avatar_contradiction_clause,[],[f37365]) ).
thf(f37373,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_231
| ~ spl2_691 ),
inference(constrained_superposition,[],[f12922,f30313]) ).
thf(f37382,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_231
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f37373]) ).
thf(f37389,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_691 ),
inference(constrained_superposition,[],[f37382,f195]) ).
thf(f37394,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_231
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f37389]) ).
thf(f37397,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_727 ),
inference(avatar_component_clause,[],[f30869]) ).
thf(f37399,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_231
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f37394,f40]) ).
thf(f37402,plain,
( spl2_727
| ~ spl2_231
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f37399,f30312,f12921,f30869]) ).
thf(f37403,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_263
| ~ spl2_727 ),
inference(constrained_superposition,[],[f13653,f37397]) ).
thf(f37409,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_727 ),
inference(constrained_superposition,[],[f93,f37397]) ).
thf(f37411,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_263
| ~ spl2_727 ),
inference(trivial_inequality_removal,[],[f37403]) ).
thf(f37417,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_727 ),
inference(trivial_inequality_removal,[],[f37409]) ).
thf(f37420,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_365
| ~ spl2_691
| ~ spl2_727 ),
inference(forward_subsumption_resolution,[],[f37417,f37331]) ).
thf(f37422,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_365
| ~ spl2_691
| ~ spl2_727 ),
inference(forward_subsumption_resolution,[],[f37420,f15504]) ).
thf(f37423,plain,
( spl2_804
| ~ spl2_163
| ~ spl2_365
| ~ spl2_691
| ~ spl2_727 ),
inference(avatar_split_clause,[],[f37422,f30869,f30312,f14791,f10818,f33204]) ).
thf(f37424,plain,
( spl2_719
| ~ spl2_713
| ~ spl2_263
| ~ spl2_727 ),
inference(avatar_split_clause,[],[f37411,f30869,f13652,f30476,f30572]) ).
thf(f37445,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_787 ),
inference(constrained_superposition,[],[f35458,f32373]) ).
thf(f37450,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f26,f32373]) ).
thf(f37466,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f37450]) ).
thf(f37473,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f37445]) ).
thf(f37489,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_692
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f30316]) ).
thf(f37492,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_692 ),
inference(constrained_superposition,[],[f14533,f30316]) ).
thf(f37494,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_550
| ~ spl2_692 ),
inference(constrained_superposition,[],[f19467,f30316]) ).
thf(f37499,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_550
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f37494]) ).
thf(f37500,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_692
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f37489]) ).
thf(f37501,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f37492]) ).
thf(f37528,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f14950,f50]) ).
thf(f37530,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f37528]) ).
thf(f37609,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_489 ),
inference(constrained_superposition,[],[f37076,f18374]) ).
thf(f37610,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_192
| ~ spl2_696 ),
inference(constrained_superposition,[],[f37076,f30334]) ).
thf(f37616,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_192
| ~ spl2_325 ),
inference(constrained_superposition,[],[f37076,f13956]) ).
thf(f37619,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_192
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f37610]) ).
thf(f37621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_192
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f37616]) ).
thf(f37626,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f37609]) ).
thf(f37633,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_43
| ~ spl2_192
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f37621,f971]) ).
thf(f37636,plain,
( spl2_611
| ~ spl2_43
| ~ spl2_192
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f37633,f13955,f11077,f579,f23626]) ).
thf(f37667,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_518 ),
inference(constrained_superposition,[],[f18704,f83]) ).
thf(f37679,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_518 ),
inference(trivial_inequality_removal,[],[f37667]) ).
thf(f37695,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_164
| ~ spl2_169 ),
inference(constrained_superposition,[],[f10858,f24212]) ).
thf(f37710,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_164
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f37695]) ).
thf(f37738,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_485 ),
inference(constrained_superposition,[],[f18319,f15504]) ).
thf(f37753,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_163
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f37738]) ).
thf(f37764,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_163
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f37753,f837]) ).
thf(f37770,plain,
( spl2_472
| ~ spl2_9
| ~ spl2_163
| ~ spl2_485 ),
inference(avatar_split_clause,[],[f37764,f18318,f10818,f126,f17573]) ).
thf(f37785,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_179
| ~ spl2_251 ),
inference(constrained_superposition,[],[f13333,f10964]) ).
thf(f37792,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_179
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f37785]) ).
thf(f37802,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_179
| spl2_221
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f37792,f12811]) ).
thf(f37807,plain,
( ~ spl2_235
| ~ spl2_179
| spl2_221
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f37802,f13332,f12810,f10963,f12939]) ).
thf(f38003,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f37466,f50]) ).
thf(f38004,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f38003]) ).
thf(f38105,plain,
( ~ spl2_714
| spl2_715
| ~ spl2_192
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f37619,f30333,f11077,f30502,f30499]) ).
thf(f38107,definition,
( spl2_977
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_977])],[avatar_definition]) ).
thf(f38108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_977 ),
inference(avatar_component_clause,[],[f38107]) ).
thf(f38109,plain,
( spl2_977
| spl2_714
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f38004,f32372,f30499,f38107]) ).
thf(f38125,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_164
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f37710,f40]) ).
thf(f38141,plain,
( spl2_21
| ~ spl2_25
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f35691,f1075,f399,f385]) ).
thf(f38144,plain,
( ~ spl2_221
| ~ spl2_692
| ~ spl2_716 ),
inference(avatar_split_clause,[],[f37500,f30508,f30315,f12810]) ).
thf(f38163,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_692 ),
inference(forward_subsumption_resolution,[],[f37501,f553]) ).
thf(f38182,plain,
( ~ spl2_520
| ~ spl2_697
| ~ spl2_716 ),
inference(avatar_split_clause,[],[f36436,f30508,f30337,f18710]) ).
thf(f38188,plain,
( spl2_502
| ~ spl2_503
| ~ spl2_192
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f37626,f18373,f11077,f18530,f18527]) ).
thf(f38196,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_22
| ~ spl2_163
| ~ spl2_803 ),
inference(forward_subsumption_resolution,[],[f36661,f10844]) ).
thf(f38207,plain,
( ~ spl2_714
| ~ spl2_727
| ~ spl2_550
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f37499,f30315,f19466,f30869,f30499]) ).
thf(f38215,plain,
( spl2_221
| ~ spl2_28
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f35859,f14791,f411,f12810]) ).
thf(f38223,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_8
| spl2_161
| ~ spl2_164
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f38125,f18258]) ).
thf(f38229,plain,
( spl2_183
| ~ spl2_39
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f38163,f30315,f552,f11042]) ).
thf(f38236,plain,
( spl2_211
| spl2_22
| ~ spl2_163
| ~ spl2_803 ),
inference(avatar_split_clause,[],[f38196,f33199,f10818,f389,f11912]) ).
thf(f38245,plain,
( spl2_23
| spl2_183
| ~ spl2_221
| ~ spl2_8
| spl2_161
| ~ spl2_164
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f38223,f10857,f10822,f10802,f116,f12810,f11042,f392]) ).
thf(f38256,plain,
( ~ spl2_186
| spl2_513
| ~ spl2_9
| ~ spl2_518 ),
inference(avatar_split_clause,[],[f37679,f18703,f126,f18682,f11052]) ).
thf(f38259,plain,
( spl2_192
| ~ spl2_180
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f37206,f18392,f10967,f11077]) ).
thf(f38269,plain,
( spl2_59
| spl2_9
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f35943,f65,f126,f839]) ).
thf(f38279,plain,
( spl2_192
| ~ spl2_234
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f37530,f14949,f12935,f11077]) ).
thf(f38289,definition,
( spl2_998
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_998])],[avatar_definition]) ).
thf(f38290,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_998 ),
inference(avatar_component_clause,[],[f38289]) ).
thf(f38291,plain,
( spl2_9
| spl2_998 ),
inference(avatar_split_clause,[],[f28372,f38289,f126]) ).
thf(f38314,plain,
( ~ spl2_51
| spl2_702
| ~ spl2_1
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f37473,f32372,f65,f30411,f764]) ).
thf(f38349,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_70 ),
inference(constrained_superposition,[],[f1216,f1085]) ).
thf(f38352,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f38349]) ).
thf(f38353,plain,
( spl2_28
| spl2_34
| ~ spl2_43
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f38352,f1084,f579,f515,f411]) ).
thf(f38372,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_23
| ~ spl2_43 ),
inference(constrained_superposition,[],[f971,f393]) ).
thf(f38373,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f93,f393]) ).
thf(f38375,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f38373]) ).
thf(f38377,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f38372]) ).
thf(f38378,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_43
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f38377,f1085]) ).
thf(f38379,plain,
( spl2_34
| ~ spl2_23
| ~ spl2_43
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f38378,f1084,f579,f392,f515]) ).
thf(f38397,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_185 ),
inference(constrained_superposition,[],[f1216,f11049]) ).
thf(f38402,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f38397]) ).
thf(f38403,plain,
( spl2_212
| spl2_166
| ~ spl2_43
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f38402,f11048,f579,f10836,f11920]) ).
thf(f38529,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_500 ),
inference(constrained_superposition,[],[f93,f18493]) ).
thf(f38534,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f38529]) ).
thf(f38554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_714 ),
inference(constrained_superposition,[],[f1216,f32352]) ).
thf(f38555,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_714
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f32352]) ).
thf(f38558,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_43
| ~ spl2_714 ),
inference(trivial_inequality_removal,[],[f38554]) ).
thf(f38560,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_714
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f38555]) ).
thf(f38562,plain,
( spl2_715
| spl2_787
| ~ spl2_43
| ~ spl2_714 ),
inference(avatar_split_clause,[],[f38558,f30499,f579,f32372,f30502]) ).
thf(f38563,plain,
( $false
| ~ spl2_70
| ~ spl2_714
| ~ spl2_716 ),
inference(forward_subsumption_resolution,[],[f38560,f1085]) ).
thf(f38564,plain,
( ~ spl2_70
| ~ spl2_714
| ~ spl2_716 ),
inference(avatar_contradiction_clause,[],[f38563]) ).
thf(f38571,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_503 ),
inference(constrained_superposition,[],[f1216,f19275]) ).
thf(f38572,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_503
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f19275]) ).
thf(f38575,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_503
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f38572]) ).
thf(f38576,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_503 ),
inference(trivial_inequality_removal,[],[f38571]) ).
thf(f38579,plain,
( $false
| ~ spl2_70
| ~ spl2_503
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f38575,f1085]) ).
thf(f38580,plain,
( ~ spl2_70
| ~ spl2_503
| ~ spl2_541 ),
inference(avatar_contradiction_clause,[],[f38579]) ).
thf(f38581,plain,
( spl2_502
| spl2_513
| ~ spl2_43
| ~ spl2_503 ),
inference(avatar_split_clause,[],[f38576,f18530,f579,f18682,f18527]) ).
thf(f38582,plain,
( spl2_248
| spl2_43 ),
inference(avatar_split_clause,[],[f28437,f579,f13315]) ).
thf(f38583,plain,
( ~ spl2_51
| spl2_175
| ~ spl2_1
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f35946,f10822,f65,f10944,f764]) ).
thf(f38584,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f38375,f412]) ).
thf(f38591,plain,
( ~ spl2_6
| spl2_509
| spl2_513
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f38534,f18492,f18682,f18576,f105]) ).
thf(f38594,plain,
( spl2_12
| ~ spl2_51
| spl2_175
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f21618,f10822,f10944,f764,f170]) ).
thf(f38600,definition,
( spl2_1004
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1004])],[avatar_definition]) ).
thf(f38601,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_1004 ),
inference(avatar_component_clause,[],[f38600]) ).
thf(f38602,plain,
( spl2_1004
| spl2_7
| spl2_43 ),
inference(avatar_split_clause,[],[f4995,f579,f113,f38600]) ).
thf(f38608,plain,
( spl2_43
| spl2_16 ),
inference(avatar_split_clause,[],[f14228,f309,f579]) ).
thf(f38616,plain,
( ~ spl2_6
| spl2_37
| ~ spl2_23
| spl2_28 ),
inference(avatar_split_clause,[],[f38584,f411,f392,f526,f105]) ).
thf(f38643,plain,
( spl2_21
| ~ spl2_16
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f34834,f3578,f309,f385]) ).
thf(f38650,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_22
| ~ spl2_23 ),
inference(constrained_superposition,[],[f393,f390]) ).
thf(f38653,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_34 ),
inference(constrained_superposition,[],[f516,f390]) ).
thf(f38655,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_22
| spl2_69 ),
inference(constrained_superposition,[],[f1293,f390]) ).
thf(f38659,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_22
| ~ spl2_164 ),
inference(constrained_superposition,[],[f10823,f390]) ).
thf(f38666,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_22
| spl2_188 ),
inference(constrained_superposition,[],[f18255,f390]) ).
thf(f38667,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_22
| spl2_161 ),
inference(constrained_superposition,[],[f18258,f390]) ).
thf(f38693,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f3527,f390]) ).
thf(f38743,plain,
( spl2_6
| spl2_8
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f38693,f389,f116,f105]) ).
thf(f38747,plain,
( $false
| ~ spl2_22
| spl2_188 ),
inference(forward_subsumption_resolution,[],[f38666,f390]) ).
thf(f38748,plain,
( ~ spl2_22
| spl2_188 ),
inference(avatar_contradiction_clause,[],[f38747]) ).
thf(f38753,plain,
( $false
| ~ spl2_22
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f38667,f390]) ).
thf(f38754,plain,
( ~ spl2_22
| spl2_161 ),
inference(avatar_contradiction_clause,[],[f38753]) ).
thf(f38761,plain,
( spl2_6
| ~ spl2_22
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f38650,f392,f389,f105]) ).
thf(f38764,plain,
( spl2_166
| ~ spl2_22
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f38659,f10822,f389,f10836]) ).
thf(f38775,plain,
( spl2_77
| ~ spl2_22
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f38653,f515,f389,f1345]) ).
thf(f38781,plain,
( ~ spl2_6
| ~ spl2_22
| spl2_69 ),
inference(avatar_split_clause,[],[f38655,f1078,f389,f105]) ).
thf(f38789,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_22 ),
inference(extensionality_resolution,[],[f195,f10844]) ).
thf(f38790,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_22 ),
inference(extensionality_resolution,[],[f195,f10844]) ).
thf(f38791,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f28415,f10844]) ).
thf(f38792,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f28415,f10844]) ).
thf(f38795,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f2635,f10844]) ).
thf(f38796,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_22 ),
inference(extensionality_resolution,[],[f2635,f10844]) ).
thf(f38797,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f90,f10844]) ).
thf(f38798,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f90,f10844]) ).
thf(f38801,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f3543,f10844]) ).
thf(f38802,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f3543,f10844]) ).
thf(f38804,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f89,f10844]) ).
thf(f38806,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f153,f10844]) ).
thf(f38808,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f154,f10844]) ).
thf(f38809,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_22 ),
inference(extensionality_resolution,[],[f85,f10844]) ).
thf(f38810,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f85,f10844]) ).
thf(f38812,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f55,f10844]) ).
thf(f38817,plain,
( spl2_21
| spl2_897
| spl2_191
| spl2_22 ),
inference(avatar_split_clause,[],[f38797,f389,f11073,f33716,f385]) ).
thf(f38818,plain,
( spl2_491
| spl2_492
| spl2_22 ),
inference(avatar_split_clause,[],[f38790,f389,f18383,f18380]) ).
thf(f38819,plain,
( spl2_348
| spl2_57
| ~ spl2_16
| spl2_22 ),
inference(avatar_split_clause,[],[f38808,f389,f309,f819,f14108]) ).
thf(f38820,plain,
( spl2_176
| spl2_180
| spl2_22 ),
inference(avatar_split_clause,[],[f38809,f389,f10967,f10947]) ).
thf(f38821,plain,
( spl2_57
| spl2_8
| spl2_22 ),
inference(avatar_split_clause,[],[f38812,f389,f116,f819]) ).
thf(f38822,plain,
( spl2_57
| ~ spl2_16
| spl2_347
| spl2_22 ),
inference(avatar_split_clause,[],[f38806,f389,f14104,f309,f819]) ).
thf(f38823,plain,
( spl2_489
| spl2_490
| spl2_22 ),
inference(avatar_split_clause,[],[f38789,f389,f18376,f18373]) ).
thf(f38824,plain,
( spl2_178
| spl2_179
| spl2_22 ),
inference(avatar_split_clause,[],[f38810,f389,f10963,f10955]) ).
thf(f38854,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f24,f768]) ).
thf(f38855,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f38854]) ).
thf(f38859,plain,
( spl2_433
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f38855,f767,f16783]) ).
thf(f38871,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_264
| ~ spl2_950 ),
inference(constrained_superposition,[],[f34083,f13672]) ).
thf(f38875,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_264
| ~ spl2_950 ),
inference(trivial_inequality_removal,[],[f38871]) ).
thf(f38877,plain,
( $false
| spl2_22
| ~ spl2_264
| ~ spl2_950 ),
inference(forward_subsumption_resolution,[],[f38875,f10844]) ).
thf(f38878,plain,
( spl2_22
| ~ spl2_264
| ~ spl2_950 ),
inference(avatar_contradiction_clause,[],[f38877]) ).
thf(f38913,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_1004 ),
inference(constrained_superposition,[],[f38601,f10823]) ).
thf(f38915,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_1004 ),
inference(trivial_inequality_removal,[],[f38913]) ).
thf(f38919,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_191 ),
inference(constrained_superposition,[],[f516,f12895]) ).
thf(f38922,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f38919]) ).
thf(f38933,plain,
( ~ spl2_154
| ~ spl2_34
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f38922,f11073,f515,f10738]) ).
thf(f39215,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_371
| ~ spl2_950 ),
inference(constrained_superposition,[],[f34083,f14997]) ).
thf(f39220,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_371
| ~ spl2_950 ),
inference(trivial_inequality_removal,[],[f39215]) ).
thf(f39222,plain,
( $false
| spl2_161
| ~ spl2_371
| ~ spl2_950 ),
inference(forward_subsumption_resolution,[],[f39220,f18258]) ).
thf(f39223,plain,
( spl2_161
| ~ spl2_371
| ~ spl2_950 ),
inference(avatar_contradiction_clause,[],[f39222]) ).
thf(f39231,plain,
( ~ spl2_233
| ~ spl2_164
| ~ spl2_1004 ),
inference(avatar_split_clause,[],[f38915,f38600,f10822,f12929]) ).
thf(f39234,definition,
( spl2_1013
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1013])],[avatar_definition]) ).
thf(f39235,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1013 ),
inference(avatar_component_clause,[],[f39234]) ).
thf(f39240,plain,
( spl2_185
| spl2_374
| spl2_191
| spl2_22 ),
inference(avatar_split_clause,[],[f38801,f389,f11073,f15038,f11048]) ).
thf(f39281,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_264 ),
inference(constrained_superposition,[],[f14533,f13672]) ).
thf(f39284,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f39281]) ).
thf(f39296,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_192 ),
inference(constrained_superposition,[],[f14533,f11078]) ).
thf(f39298,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f39296]) ).
thf(f39500,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_501 ),
inference(constrained_superposition,[],[f14533,f18509]) ).
thf(f39502,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f39500]) ).
thf(f39505,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_39
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f39502,f393]) ).
thf(f39506,plain,
( spl2_37
| ~ spl2_23
| ~ spl2_39
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f39505,f18508,f552,f392,f526]) ).
thf(f39530,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_348 ),
inference(constrained_superposition,[],[f14109,f51]) ).
thf(f39531,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_348 ),
inference(constrained_superposition,[],[f14109,f10823]) ).
thf(f39533,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_164
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f39531]) ).
thf(f39534,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f39530]) ).
thf(f39536,plain,
( spl2_17
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f39534,f14108,f312]) ).
thf(f39636,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_464 ),
inference(constrained_superposition,[],[f16996,f50]) ).
thf(f39642,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_464 ),
inference(trivial_inequality_removal,[],[f39636]) ).
thf(f39644,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_185
| ~ spl2_464 ),
inference(forward_subsumption_resolution,[],[f39642,f15520]) ).
thf(f39645,plain,
( ~ spl2_51
| spl2_185
| ~ spl2_464 ),
inference(avatar_split_clause,[],[f39644,f16995,f11048,f764]) ).
thf(f39706,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_702
| ~ spl2_721 ),
inference(constrained_superposition,[],[f30581,f30586]) ).
thf(f39785,plain,
( $false
| ~ spl2_175
| spl2_702
| ~ spl2_721 ),
inference(forward_subsumption_resolution,[],[f39706,f10945]) ).
thf(f39786,plain,
( ~ spl2_175
| spl2_702
| ~ spl2_721 ),
inference(avatar_contradiction_clause,[],[f39785]) ).
thf(f39806,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_544
| ~ spl2_620 ),
inference(constrained_superposition,[],[f19349,f24941]) ).
thf(f39830,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_544
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f39806]) ).
thf(f39847,plain,
( spl2_926
| ~ spl2_544
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f39830,f24940,f19348,f33891]) ).
thf(f40104,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_164
| ~ spl2_491 ),
inference(constrained_superposition,[],[f21599,f18381]) ).
thf(f40117,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_164
| ~ spl2_491 ),
inference(constrained_superposition,[],[f19804,f18381]) ).
thf(f40132,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_164
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f40104]) ).
thf(f40147,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_164
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f40117]) ).
thf(f40203,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_164
| ~ spl2_695 ),
inference(constrained_superposition,[],[f19814,f30331]) ).
thf(f40232,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_164
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f40203]) ).
thf(f40245,plain,
( spl2_723
| ~ spl2_164
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f40232,f30330,f10822,f30741]) ).
thf(f40250,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_491 ),
inference(constrained_superposition,[],[f12922,f18381]) ).
thf(f40261,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_231
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f40250]) ).
thf(f40265,plain,
( $false
| ~ spl2_231
| ~ spl2_491
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f40261,f24941]) ).
thf(f40266,plain,
( ~ spl2_231
| ~ spl2_491
| ~ spl2_620 ),
inference(avatar_contradiction_clause,[],[f40265]) ).
thf(f40430,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_710 ),
inference(constrained_superposition,[],[f36227,f83]) ).
thf(f40433,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_710 ),
inference(trivial_inequality_removal,[],[f40430]) ).
thf(f40436,plain,
( spl2_787
| spl2_710 ),
inference(avatar_split_clause,[],[f40433,f30444,f32372]) ).
thf(f40440,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_98
| ~ spl2_348 ),
inference(forward_subsumption_resolution,[],[f3299,f14109]) ).
thf(f40445,plain,
( spl2_506
| ~ spl2_776
| ~ spl2_164
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f40147,f18380,f10822,f31967,f18548]) ).
thf(f40450,plain,
( spl2_34
| ~ spl2_21
| ~ spl2_39
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f39298,f11077,f552,f385,f515]) ).
thf(f40455,definition,
( spl2_1018
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1018])],[avatar_definition]) ).
thf(f40456,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_1018 ),
inference(avatar_component_clause,[],[f40455]) ).
thf(f40466,plain,
( spl2_297
| ~ spl2_98
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f40440,f14108,f3298,f13839]) ).
thf(f40490,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f114]) ).
thf(f40491,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f114]) ).
thf(f40498,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f40490]) ).
thf(f40499,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f40491]) ).
thf(f40509,plain,
( $false
| ~ spl2_7
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f40498,f114]) ).
thf(f40510,plain,
( ~ spl2_7
| ~ spl2_541 ),
inference(avatar_contradiction_clause,[],[f40509]) ).
thf(f40511,plain,
( $false
| ~ spl2_7
| ~ spl2_716 ),
inference(forward_subsumption_resolution,[],[f40499,f114]) ).
thf(f40512,plain,
( ~ spl2_7
| ~ spl2_716 ),
inference(avatar_contradiction_clause,[],[f40511]) ).
thf(f40523,plain,
( ~ spl2_23
| spl2_37
| ~ spl2_39
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f39284,f13671,f552,f526,f392]) ).
thf(f40531,plain,
( spl2_504
| ~ spl2_776
| ~ spl2_164
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f40132,f18380,f10822,f31967,f18540]) ).
thf(f40545,plain,
( spl2_175
| ~ spl2_164
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f39533,f14108,f10822,f10944]) ).
thf(f40571,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_161
| ~ spl2_164 ),
inference(constrained_superposition,[],[f10823,f10803]) ).
thf(f40572,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_161
| spl2_186 ),
inference(constrained_superposition,[],[f11053,f10803]) ).
thf(f40577,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_161
| ~ spl2_264 ),
inference(constrained_superposition,[],[f13672,f10803]) ).
thf(f40586,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_161
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f10803]) ).
thf(f40592,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_161
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f10803]) ).
thf(f40594,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_161
| spl2_580 ),
inference(constrained_superposition,[],[f22041,f10803]) ).
thf(f40595,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_161
| spl2_588 ),
inference(constrained_superposition,[],[f22532,f10803]) ).
thf(f40597,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_161
| spl2_728 ),
inference(constrained_superposition,[],[f30873,f10803]) ).
thf(f40598,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_161
| ~ spl2_733 ),
inference(constrained_superposition,[],[f30913,f10803]) ).
thf(f40608,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f84,f10803]) ).
thf(f40613,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f194,f10803]) ).
thf(f40616,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f363,f10803]) ).
thf(f40618,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_59
| ~ spl2_161 ),
inference(constrained_superposition,[],[f840,f10803]) ).
thf(f40619,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f3527,f10803]) ).
thf(f40672,plain,
( ~ spl2_69
| ~ spl2_161
| spl2_580 ),
inference(avatar_split_clause,[],[f40594,f22040,f10802,f1078]) ).
thf(f40677,plain,
( spl2_28
| ~ spl2_161
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f40571,f10822,f10802,f411]) ).
thf(f40678,plain,
( $false
| ~ spl2_161
| ~ spl2_264
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f40592,f13672]) ).
thf(f40679,plain,
( ~ spl2_161
| ~ spl2_264
| spl2_526 ),
inference(avatar_contradiction_clause,[],[f40678]) ).
thf(f40682,plain,
( $false
| ~ spl2_161
| spl2_227
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f40598,f12905]) ).
thf(f40683,plain,
( ~ spl2_161
| spl2_227
| ~ spl2_733 ),
inference(avatar_contradiction_clause,[],[f40682]) ).
thf(f40684,plain,
( ~ spl2_6
| ~ spl2_161
| spl2_588 ),
inference(avatar_split_clause,[],[f40595,f22531,f10802,f105]) ).
thf(f40685,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_82
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f40608,f3445]) ).
thf(f40686,plain,
( ~ spl2_371
| ~ spl2_161
| spl2_728 ),
inference(avatar_split_clause,[],[f40597,f30872,f10802,f14996]) ).
thf(f40693,plain,
( ~ spl2_51
| spl2_6
| ~ spl2_59
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f40618,f10802,f839,f105,f764]) ).
thf(f40694,plain,
( spl2_6
| ~ spl2_161
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f40577,f13671,f10802,f105]) ).
thf(f40696,plain,
( spl2_6
| spl2_8
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f40619,f10802,f116,f105]) ).
thf(f40697,plain,
( spl2_8
| ~ spl2_161
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f40586,f19348,f10802,f116]) ).
thf(f40699,plain,
( ~ spl2_23
| ~ spl2_161
| spl2_186 ),
inference(avatar_split_clause,[],[f40572,f11052,f10802,f392]) ).
thf(f40700,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f40613,f463]) ).
thf(f40701,plain,
( spl2_40
| spl2_69
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f40616,f10802,f1078,f555]) ).
thf(f40707,plain,
( spl2_6
| spl2_82
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f40685,f10802,f1476,f105]) ).
thf(f40708,plain,
( spl2_69
| spl2_31
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f40700,f10802,f462,f1078]) ).
thf(f40719,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f2635,f18258]) ).
thf(f40721,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f90,f18258]) ).
thf(f40728,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f89,f18258]) ).
thf(f40755,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_347 ),
inference(constrained_superposition,[],[f14105,f505]) ).
thf(f40759,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28
| ~ spl2_1004 ),
inference(constrained_superposition,[],[f38601,f505]) ).
thf(f40775,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28
| ~ spl2_1004 ),
inference(trivial_inequality_removal,[],[f40759]) ).
thf(f40781,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f40755]) ).
thf(f40794,plain,
( ~ spl2_25
| ~ spl2_28
| ~ spl2_1004 ),
inference(avatar_split_clause,[],[f40775,f38600,f411,f399]) ).
thf(f40795,plain,
( $false
| ~ spl2_28
| spl2_70
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f40781,f1492]) ).
thf(f40796,plain,
( ~ spl2_28
| spl2_70
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f40795]) ).
thf(f40859,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_100
| spl2_371 ),
inference(constrained_superposition,[],[f15796,f3444]) ).
thf(f40864,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100
| spl2_371 ),
inference(trivial_inequality_removal,[],[f40859]) ).
thf(f40866,plain,
( $false
| ~ spl2_100
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f40864,f40]) ).
thf(f40867,plain,
( ~ spl2_100
| spl2_371 ),
inference(avatar_contradiction_clause,[],[f40866]) ).
thf(f40949,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_191 ),
inference(constrained_superposition,[],[f527,f12895]) ).
thf(f40959,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f40949]) ).
thf(f40965,plain,
( $false
| ~ spl2_37
| ~ spl2_163
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f40959,f15504]) ).
thf(f40966,plain,
( ~ spl2_37
| ~ spl2_163
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f40965]) ).
thf(f40974,plain,
( spl2_21
| spl2_221
| spl2_816
| spl2_161 ),
inference(avatar_split_clause,[],[f40721,f10802,f33288,f12810,f385]) ).
thf(f41048,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_383 ),
inference(constrained_superposition,[],[f15450,f194]) ).
thf(f41054,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_383 ),
inference(trivial_inequality_removal,[],[f41048]) ).
thf(f41088,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_513
| ~ spl2_1004 ),
inference(constrained_superposition,[],[f38601,f18683]) ).
thf(f41106,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_513
| ~ spl2_1004 ),
inference(trivial_inequality_removal,[],[f41088]) ).
thf(f41123,plain,
( ~ spl2_569
| ~ spl2_513
| ~ spl2_1004 ),
inference(avatar_split_clause,[],[f41106,f38600,f18682,f20183]) ).
thf(f41337,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_154
| ~ spl2_188 ),
inference(constrained_superposition,[],[f10739,f11061]) ).
thf(f41338,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_188 ),
inference(constrained_superposition,[],[f11049,f11061]) ).
thf(f41347,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_188
| ~ spl2_513 ),
inference(constrained_superposition,[],[f18683,f11061]) ).
thf(f41353,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f193,f11061]) ).
thf(f41421,plain,
( $false
| spl2_21
| ~ spl2_154
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f41337,f500]) ).
thf(f41422,plain,
( spl2_21
| ~ spl2_154
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f41421]) ).
thf(f41424,plain,
( spl2_164
| ~ spl2_188
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f41347,f18682,f11060,f10822]) ).
thf(f41431,plain,
( $false
| spl2_70
| ~ spl2_185
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f41338,f1492]) ).
thf(f41432,plain,
( spl2_70
| ~ spl2_185
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f41431]) ).
thf(f41440,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_172
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f41353,f10879]) ).
thf(f41450,plain,
( $false
| spl2_31
| ~ spl2_172
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f41440,f463]) ).
thf(f41451,plain,
( spl2_31
| ~ spl2_172
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f41450]) ).
thf(f41465,plain,
( ~ spl2_43
| ~ spl2_264
| spl2_164
| ~ spl2_550 ),
inference(avatar_split_clause,[],[f36704,f19466,f10822,f13671,f579]) ).
thf(f41483,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f28415,f18255]) ).
thf(f41484,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f28415,f18255]) ).
thf(f41486,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f5337,f18255]) ).
thf(f41487,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f2635,f18255]) ).
thf(f41492,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f3543,f18255]) ).
thf(f41495,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f153,f18255]) ).
thf(f41497,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f154,f18255]) ).
thf(f41498,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f154,f18255]) ).
thf(f41502,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f55,f18255]) ).
thf(f41517,definition,
( spl2_1025
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1025])],[avatar_definition]) ).
thf(f41518,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_1025 ),
inference(avatar_component_clause,[],[f41517]) ).
thf(f41602,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f93,f14947]) ).
thf(f41605,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f41602]) ).
thf(f41638,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_350 ),
inference(constrained_superposition,[],[f14180,f84]) ).
thf(f41644,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f41638]) ).
thf(f41700,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_28
| ~ spl2_348 ),
inference(constrained_superposition,[],[f14109,f505]) ).
thf(f41705,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_28
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f41700]) ).
thf(f41708,plain,
( $false
| spl2_21
| ~ spl2_28
| ~ spl2_348 ),
inference(forward_subsumption_resolution,[],[f41705,f500]) ).
thf(f41709,plain,
( spl2_21
| ~ spl2_28
| ~ spl2_348 ),
inference(avatar_contradiction_clause,[],[f41708]) ).
thf(f41711,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f41713,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f41711]) ).
thf(f41756,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| spl2_192 ),
inference(constrained_superposition,[],[f14990,f171]) ).
thf(f41757,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| spl2_70 ),
inference(constrained_superposition,[],[f1492,f171]) ).
thf(f41761,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| spl2_70 ),
inference(trivial_inequality_removal,[],[f41757]) ).
thf(f41762,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| spl2_192 ),
inference(trivial_inequality_removal,[],[f41756]) ).
thf(f41765,plain,
( $false
| ~ spl2_12
| spl2_70 ),
inference(forward_subsumption_resolution,[],[f41761,f40]) ).
thf(f41766,plain,
( ~ spl2_12
| spl2_70 ),
inference(avatar_contradiction_clause,[],[f41765]) ).
thf(f41767,plain,
( $false
| ~ spl2_12
| spl2_192 ),
inference(forward_subsumption_resolution,[],[f41762,f40]) ).
thf(f41768,plain,
( ~ spl2_12
| spl2_192 ),
inference(avatar_contradiction_clause,[],[f41767]) ).
thf(f41783,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f26,f10968]) ).
thf(f41800,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f41783]) ).
thf(f41808,plain,
( spl2_1025
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f41800,f10967,f41517]) ).
thf(f41815,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_520 ),
inference(constrained_superposition,[],[f93,f19285]) ).
thf(f41818,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f41815]) ).
thf(f41847,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f10977,f85]) ).
thf(f41853,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f41847]) ).
thf(f41855,plain,
( spl2_140
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f41853,f10976,f8267]) ).
thf(f41890,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_464 ),
inference(constrained_superposition,[],[f16996,f10968]) ).
thf(f41898,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_464 ),
inference(trivial_inequality_removal,[],[f41890]) ).
thf(f41901,plain,
( ~ spl2_241
| ~ spl2_180
| ~ spl2_464 ),
inference(avatar_split_clause,[],[f41898,f16995,f10967,f13268]) ).
thf(f41982,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_511
| ~ spl2_518 ),
inference(constrained_superposition,[],[f18704,f18607]) ).
thf(f41988,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_511
| ~ spl2_518 ),
inference(trivial_inequality_removal,[],[f41982]) ).
thf(f42081,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_154
| ~ spl2_511
| ~ spl2_518 ),
inference(forward_subsumption_resolution,[],[f41988,f10739]) ).
thf(f42085,plain,
( ~ spl2_176
| ~ spl2_154
| ~ spl2_511
| ~ spl2_518 ),
inference(avatar_split_clause,[],[f42081,f18703,f18606,f10738,f10947]) ).
thf(f42210,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_502
| ~ spl2_526 ),
inference(constrained_superposition,[],[f18528,f18752]) ).
thf(f42216,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_502
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f42210]) ).
thf(f42219,plain,
( $false
| ~ spl2_154
| ~ spl2_502
| ~ spl2_526 ),
inference(forward_subsumption_resolution,[],[f42216,f10739]) ).
thf(f42220,plain,
( ~ spl2_154
| ~ spl2_502
| ~ spl2_526 ),
inference(avatar_contradiction_clause,[],[f42219]) ).
thf(f42233,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_503
| ~ spl2_517 ),
inference(constrained_superposition,[],[f19275,f18701]) ).
thf(f42316,plain,
( $false
| spl2_192
| ~ spl2_503
| ~ spl2_517 ),
inference(forward_subsumption_resolution,[],[f42233,f14990]) ).
thf(f42317,plain,
( spl2_192
| ~ spl2_503
| ~ spl2_517 ),
inference(avatar_contradiction_clause,[],[f42316]) ).
thf(f42337,plain,
( spl2_513
| ~ spl2_23
| spl2_541
| ~ spl2_520 ),
inference(avatar_split_clause,[],[f41818,f18710,f19305,f392,f18682]) ).
thf(f42413,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_241 ),
inference(constrained_superposition,[],[f13269,f84]) ).
thf(f42417,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_241 ),
inference(trivial_inequality_removal,[],[f42413]) ).
thf(f42420,plain,
( spl2_371
| spl2_241 ),
inference(avatar_split_clause,[],[f42417,f13268,f14996]) ).
thf(f42422,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_206
| ~ spl2_371 ),
inference(constrained_superposition,[],[f11540,f14997]) ).
thf(f42423,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_371 ),
inference(constrained_superposition,[],[f14533,f14997]) ).
thf(f42425,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f42423]) ).
thf(f42427,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_206
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f42422]) ).
thf(f42428,plain,
( $false
| ~ spl2_9
| ~ spl2_206
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f42427,f837]) ).
thf(f42429,plain,
( ~ spl2_9
| ~ spl2_206
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f42428]) ).
thf(f42477,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_212
| ~ spl2_511 ),
inference(constrained_superposition,[],[f11921,f18607]) ).
thf(f42483,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_212
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f42477]) ).
thf(f42490,plain,
( $false
| ~ spl2_212
| ~ spl2_504
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f42483,f18541]) ).
thf(f42491,plain,
( ~ spl2_212
| ~ spl2_504
| ~ spl2_511 ),
inference(avatar_contradiction_clause,[],[f42490]) ).
thf(f42498,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_510
| ~ spl2_513 ),
inference(constrained_superposition,[],[f18683,f18581]) ).
thf(f42507,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_510
| ~ spl2_714 ),
inference(constrained_superposition,[],[f32352,f18581]) ).
thf(f42577,plain,
( $false
| spl2_166
| ~ spl2_510
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f42498,f15490]) ).
thf(f42578,plain,
( spl2_166
| ~ spl2_510
| ~ spl2_513 ),
inference(avatar_contradiction_clause,[],[f42577]) ).
thf(f42584,plain,
( $false
| spl2_192
| ~ spl2_510
| ~ spl2_714 ),
inference(forward_subsumption_resolution,[],[f42507,f14990]) ).
thf(f42585,plain,
( spl2_192
| ~ spl2_510
| ~ spl2_714 ),
inference(avatar_contradiction_clause,[],[f42584]) ).
thf(f42616,plain,
( ~ spl2_23
| spl2_37
| ~ spl2_39
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f42425,f14996,f552,f526,f392]) ).
thf(f42662,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f638,f10837]) ).
thf(f42674,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_166 ),
inference(constrained_superposition,[],[f41713,f10837]) ).
thf(f42685,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f42674]) ).
thf(f42701,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f42662]) ).
thf(f42703,plain,
( spl2_154
| ~ spl2_51
| ~ spl2_1
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f42685,f10836,f65,f764,f10738]) ).
thf(f42711,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_351
| spl2_500 ),
inference(constrained_superposition,[],[f31078,f14186]) ).
thf(f42712,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_163
| ~ spl2_351 ),
inference(constrained_superposition,[],[f10819,f14186]) ).
thf(f42716,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_351
| spl2_500 ),
inference(trivial_inequality_removal,[],[f42711]) ).
thf(f42717,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_163
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f42712]) ).
thf(f42719,plain,
( $false
| ~ spl2_351
| spl2_500 ),
inference(forward_subsumption_resolution,[],[f42716,f40]) ).
thf(f42720,plain,
( ~ spl2_351
| spl2_500 ),
inference(avatar_contradiction_clause,[],[f42719]) ).
thf(f42721,plain,
( $false
| spl2_163
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f42717,f40]) ).
thf(f42722,plain,
( spl2_163
| ~ spl2_351 ),
inference(avatar_contradiction_clause,[],[f42721]) ).
thf(f42914,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_860 ),
inference(constrained_superposition,[],[f33532,f50]) ).
thf(f42915,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_860 ),
inference(trivial_inequality_removal,[],[f42914]) ).
thf(f42950,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_76
| ~ spl2_526 ),
inference(constrained_superposition,[],[f1292,f18752]) ).
thf(f42952,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_76
| ~ spl2_371 ),
inference(constrained_superposition,[],[f1292,f14997]) ).
thf(f42953,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_76
| ~ spl2_185 ),
inference(constrained_superposition,[],[f1292,f11049]) ).
thf(f42961,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_76
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f42952]) ).
thf(f42963,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_76
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f42953]) ).
thf(f42967,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_76
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f42950]) ).
thf(f43051,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f26,f18381]) ).
thf(f43066,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f43051]) ).
thf(f43076,plain,
( spl2_1025
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f43066,f18380,f41517]) ).
thf(f43092,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_350
| ~ spl2_513 ),
inference(constrained_superposition,[],[f41644,f18683]) ).
thf(f43093,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_350 ),
inference(constrained_superposition,[],[f41644,f10837]) ).
thf(f43096,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_350
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f43092]) ).
thf(f43098,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f43093]) ).
thf(f43100,plain,
( $false
| ~ spl2_350
| spl2_501
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f43096,f18942]) ).
thf(f43101,plain,
( ~ spl2_350
| spl2_501
| ~ spl2_513 ),
inference(avatar_contradiction_clause,[],[f43100]) ).
thf(f43102,plain,
( $false
| ~ spl2_166
| spl2_264
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f43098,f19740]) ).
thf(f43103,plain,
( ~ spl2_166
| spl2_264
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f43102]) ).
thf(f43161,definition,
( spl2_1032
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1032])],[avatar_definition]) ).
thf(f43162,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_1032 ),
inference(avatar_component_clause,[],[f43161]) ).
thf(f43224,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_511
| ~ spl2_524 ),
inference(constrained_superposition,[],[f18732,f18607]) ).
thf(f43232,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_511
| ~ spl2_524 ),
inference(trivial_inequality_removal,[],[f43224]) ).
thf(f43236,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_188
| ~ spl2_511
| ~ spl2_524 ),
inference(forward_subsumption_resolution,[],[f43232,f18255]) ).
thf(f43237,plain,
( ~ spl2_154
| spl2_188
| ~ spl2_511
| ~ spl2_524 ),
inference(avatar_split_clause,[],[f43236,f18731,f18606,f11060,f10738]) ).
thf(f43354,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| ~ spl2_692 ),
inference(constrained_superposition,[],[f103,f30316]) ).
thf(f43369,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f43354]) ).
thf(f43384,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| ~ spl2_186
| ~ spl2_692 ),
inference(forward_subsumption_resolution,[],[f43369,f14947]) ).
thf(f43389,plain,
( spl2_787
| ~ spl2_5
| ~ spl2_186
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f43384,f30315,f11052,f102,f32372]) ).
thf(f43420,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f194]) ).
thf(f43421,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f50]) ).
thf(f43422,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f43421]) ).
thf(f43428,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f43420]) ).
thf(f43430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_81
| ~ spl2_371 ),
inference(constrained_superposition,[],[f1474,f14997]) ).
thf(f43434,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_81
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f43430]) ).
thf(f43439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_81
| ~ spl2_186
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f43434,f14947]) ).
thf(f43442,plain,
( spl2_388
| ~ spl2_81
| ~ spl2_186
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f43439,f14996,f11052,f1473,f15794]) ).
thf(f43446,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_163
| ~ spl2_352 ),
inference(constrained_superposition,[],[f10819,f14190]) ).
thf(f43454,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_163
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f43446]) ).
thf(f43460,plain,
( $false
| spl2_161
| spl2_163
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f43454,f18258]) ).
thf(f43461,plain,
( spl2_161
| spl2_163
| ~ spl2_352 ),
inference(avatar_contradiction_clause,[],[f43460]) ).
thf(f43470,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_482
| ~ spl2_511 ),
inference(constrained_superposition,[],[f18302,f18607]) ).
thf(f43480,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_482
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f43470]) ).
thf(f43489,plain,
( spl2_502
| ~ spl2_503
| ~ spl2_482
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f43480,f18606,f18301,f18530,f18527]) ).
thf(f43516,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f57,f10964]) ).
thf(f43550,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f43516]) ).
thf(f43690,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_1032 ),
inference(constrained_superposition,[],[f43162,f553]) ).
thf(f43692,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_697
| ~ spl2_1032 ),
inference(constrained_superposition,[],[f43162,f30338]) ).
thf(f43699,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_1032 ),
inference(trivial_inequality_removal,[],[f43690]) ).
thf(f43700,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_697
| ~ spl2_1032 ),
inference(trivial_inequality_removal,[],[f43692]) ).
thf(f43708,plain,
( $false
| ~ spl2_39
| ~ spl2_1032 ),
inference(forward_subsumption_resolution,[],[f43699,f553]) ).
thf(f43709,plain,
( ~ spl2_39
| ~ spl2_1032 ),
inference(avatar_contradiction_clause,[],[f43708]) ).
thf(f43710,plain,
( $false
| ~ spl2_489
| ~ spl2_697
| ~ spl2_1032 ),
inference(forward_subsumption_resolution,[],[f43700,f18374]) ).
thf(f43711,plain,
( ~ spl2_489
| ~ spl2_697
| ~ spl2_1032 ),
inference(avatar_contradiction_clause,[],[f43710]) ).
thf(f43718,plain,
( ~ spl2_57
| ~ spl2_76
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f42961,f14996,f1291,f819]) ).
thf(f43739,plain,
( ~ spl2_191
| ~ spl2_76
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f42967,f18751,f1291,f11073]) ).
thf(f43745,plain,
( ~ spl2_70
| ~ spl2_76
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f42963,f11048,f1291,f1084]) ).
thf(f43767,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_32 ),
inference(constrained_superposition,[],[f508,f69]) ).
thf(f43774,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_2
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f43767]) ).
thf(f43781,plain,
( spl2_868
| ~ spl2_2
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f43774,f507,f68,f33567]) ).
thf(f43843,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_57
| ~ spl2_741 ),
inference(constrained_superposition,[],[f30968,f820]) ).
thf(f43845,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_57
| ~ spl2_755 ),
inference(constrained_superposition,[],[f31092,f820]) ).
thf(f43854,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_57
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f43845]) ).
thf(f43859,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_57
| ~ spl2_741 ),
inference(trivial_inequality_removal,[],[f43843]) ).
thf(f43861,plain,
( $false
| ~ spl2_57
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f43854,f40]) ).
thf(f43862,plain,
( ~ spl2_57
| ~ spl2_755 ),
inference(avatar_contradiction_clause,[],[f43861]) ).
thf(f43868,plain,
( $false
| ~ spl2_57
| ~ spl2_741 ),
inference(forward_subsumption_resolution,[],[f43859,f40]) ).
thf(f43869,plain,
( ~ spl2_57
| ~ spl2_741 ),
inference(avatar_contradiction_clause,[],[f43868]) ).
thf(f43907,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_191
| ~ spl2_584 ),
inference(constrained_superposition,[],[f22504,f12895]) ).
thf(f43917,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_191
| ~ spl2_584 ),
inference(trivial_inequality_removal,[],[f43907]) ).
thf(f43921,plain,
( $false
| spl2_22
| ~ spl2_191
| ~ spl2_584 ),
inference(forward_subsumption_resolution,[],[f43917,f10844]) ).
thf(f43922,plain,
( spl2_22
| ~ spl2_191
| ~ spl2_584 ),
inference(avatar_contradiction_clause,[],[f43921]) ).
thf(f43996,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_186
| ~ spl2_868 ),
inference(constrained_superposition,[],[f33568,f14947]) ).
thf(f43997,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_500
| ~ spl2_868 ),
inference(constrained_superposition,[],[f33568,f18493]) ).
thf(f44006,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_186
| ~ spl2_868 ),
inference(trivial_inequality_removal,[],[f43996]) ).
thf(f44011,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_500
| ~ spl2_868 ),
inference(trivial_inequality_removal,[],[f43997]) ).
thf(f44013,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_186
| ~ spl2_868 ),
inference(forward_subsumption_resolution,[],[f44006,f69]) ).
thf(f44015,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_500
| ~ spl2_868 ),
inference(forward_subsumption_resolution,[],[f44011,f69]) ).
thf(f44016,plain,
( spl2_205
| ~ spl2_2
| ~ spl2_186
| ~ spl2_868 ),
inference(avatar_split_clause,[],[f44013,f33567,f11052,f68,f11533]) ).
thf(f44018,plain,
( spl2_508
| ~ spl2_2
| ~ spl2_500
| ~ spl2_868 ),
inference(avatar_split_clause,[],[f44015,f33567,f18492,f68,f18571]) ).
thf(f44019,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_176
| ~ spl2_482 ),
inference(constrained_superposition,[],[f18302,f10948]) ).
thf(f44023,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f44019]) ).
thf(f44027,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_2
| ~ spl2_176
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f44023,f69]) ).
thf(f44029,plain,
( spl2_206
| ~ spl2_2
| ~ spl2_176
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f44027,f18301,f10947,f68,f11539]) ).
thf(f44122,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_497
| ~ spl2_620 ),
inference(constrained_superposition,[],[f18480,f24941]) ).
thf(f44143,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_497
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f44122]) ).
thf(f44157,plain,
( $false
| ~ spl2_179
| ~ spl2_497
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f44143,f10964]) ).
thf(f44158,plain,
( ~ spl2_179
| ~ spl2_497
| ~ spl2_620 ),
inference(avatar_contradiction_clause,[],[f44157]) ).
thf(f44179,plain,
( spl2_240
| spl2_175
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f43550,f10963,f10944,f13264]) ).
thf(f44205,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_57 ),
inference(constrained_superposition,[],[f19339,f28415]) ).
thf(f44208,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_57 ),
inference(trivial_inequality_removal,[],[f44205]) ).
thf(f44211,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_264
| ~ spl2_482 ),
inference(constrained_superposition,[],[f18302,f13672]) ).
thf(f44214,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_264
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f44211]) ).
thf(f44217,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_264
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f44214,f959]) ).
thf(f44218,plain,
( spl2_77
| ~ spl2_43
| ~ spl2_264
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f44217,f18301,f13671,f579,f1345]) ).
thf(f44224,plain,
( spl2_752
| spl2_185
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f43422,f19348,f11048,f31071]) ).
thf(f44263,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_371 ),
inference(constrained_superposition,[],[f15796,f28415]) ).
thf(f44265,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_371 ),
inference(trivial_inequality_removal,[],[f44263]) ).
thf(f44304,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_153
| spl2_154 ),
inference(constrained_superposition,[],[f11063,f10735]) ).
thf(f44309,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_153
| spl2_154 ),
inference(trivial_inequality_removal,[],[f44304]) ).
thf(f44311,plain,
( $false
| ~ spl2_153
| spl2_154 ),
inference(forward_subsumption_resolution,[],[f44309,f40]) ).
thf(f44312,plain,
( ~ spl2_153
| spl2_154 ),
inference(avatar_contradiction_clause,[],[f44311]) ).
thf(f44398,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_517 ),
inference(constrained_superposition,[],[f48,f18701]) ).
thf(f44607,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_517 ),
inference(equality_resolution,[],[f44398]) ).
thf(f44613,definition,
( spl2_1040
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1040])],[avatar_definition]) ).
thf(f44614,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_1040 ),
inference(avatar_component_clause,[],[f44613]) ).
thf(f44620,plain,
( spl2_459
| ~ spl2_517 ),
inference(avatar_split_clause,[],[f44607,f18700,f16967]) ).
thf(f44653,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f26,f18683]) ).
thf(f44658,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f44653]) ).
thf(f44676,plain,
( spl2_1040
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f44658,f18682,f44613]) ).
thf(f44706,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_360
| ~ spl2_733 ),
inference(constrained_superposition,[],[f14508,f30913]) ).
thf(f44716,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f44706]) ).
thf(f44735,plain,
( $false
| ~ spl2_360
| ~ spl2_513
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f44716,f18683]) ).
thf(f44736,plain,
( ~ spl2_360
| ~ spl2_513
| ~ spl2_733 ),
inference(avatar_contradiction_clause,[],[f44735]) ).
thf(f44749,plain,
( ~ spl2_234
| spl2_191
| spl2_494
| spl2_188 ),
inference(avatar_split_clause,[],[f41495,f11060,f18392,f11073,f12935]) ).
thf(f44752,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_57 ),
inference(forward_subsumption_resolution,[],[f44208,f40]) ).
thf(f44763,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_70
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f40719,f1492]) ).
thf(f44764,plain,
( spl2_493
| ~ spl2_234
| spl2_191
| spl2_188 ),
inference(avatar_split_clause,[],[f41497,f11060,f11073,f12935,f18388]) ).
thf(f44766,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f44265,f40]) ).
thf(f44767,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_22
| spl2_70 ),
inference(forward_subsumption_resolution,[],[f38795,f1492]) ).
thf(f44772,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_57
| spl2_70 ),
inference(forward_subsumption_resolution,[],[f44752,f1492]) ).
thf(f44775,plain,
( spl2_221
| spl2_21
| ~ spl2_233
| spl2_70
| spl2_161 ),
inference(avatar_split_clause,[],[f44763,f10802,f1084,f12929,f385,f12810]) ).
thf(f44776,plain,
( spl2_43
| spl2_175
| spl2_192
| spl2_371 ),
inference(avatar_split_clause,[],[f44766,f14996,f11077,f10944,f579]) ).
thf(f44777,plain,
( spl2_21
| spl2_191
| ~ spl2_234
| spl2_22
| spl2_70 ),
inference(avatar_split_clause,[],[f44767,f1084,f389,f12935,f11073,f385]) ).
thf(f44779,plain,
( spl2_43
| spl2_21
| spl2_57
| spl2_70 ),
inference(avatar_split_clause,[],[f44772,f1084,f819,f385,f579]) ).
thf(f44782,plain,
( spl2_175
| spl2_185
| spl2_178
| ~ spl2_233
| spl2_188 ),
inference(avatar_split_clause,[],[f41486,f11060,f12929,f10955,f11048,f10944]) ).
thf(f44783,plain,
( spl2_185
| spl2_175
| spl2_178
| spl2_192
| spl2_188 ),
inference(avatar_split_clause,[],[f41484,f11060,f11077,f10955,f10944,f11048]) ).
thf(f44784,plain,
( spl2_178
| spl2_374
| spl2_185
| spl2_188 ),
inference(avatar_split_clause,[],[f41492,f11060,f11048,f15038,f10955]) ).
thf(f44786,plain,
( ~ spl2_16
| spl2_9
| spl2_185
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f42701,f10836,f11048,f126,f309]) ).
thf(f44787,plain,
( ~ spl2_16
| spl2_185
| ~ spl2_860 ),
inference(avatar_split_clause,[],[f42915,f33531,f11048,f309]) ).
thf(f44804,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f93,f386]) ).
thf(f44805,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f24,f386]) ).
thf(f44806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f44805]) ).
thf(f44807,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f44804]) ).
thf(f44826,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_39
| ~ spl2_185 ),
inference(constrained_superposition,[],[f14533,f11049]) ).
thf(f44828,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f44826]) ).
thf(f44830,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_39
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f44828,f386]) ).
thf(f44831,plain,
( spl2_34
| ~ spl2_21
| ~ spl2_39
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f44830,f11048,f552,f385,f515]) ).
thf(f44844,plain,
( $false
| ~ spl2_52
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f12106,f768]) ).
thf(f44845,plain,
( ~ spl2_52
| spl2_175 ),
inference(avatar_contradiction_clause,[],[f44844]) ).
thf(f45011,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_620
| ~ spl2_998 ),
inference(constrained_superposition,[],[f38290,f24941]) ).
thf(f45015,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f26,f24941]) ).
thf(f45030,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_620
| ~ spl2_998 ),
inference(trivial_inequality_removal,[],[f45011]) ).
thf(f45037,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f45015]) ).
thf(f45045,plain,
( spl2_1040
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f45037,f24940,f44613]) ).
thf(f45047,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_584
| ~ spl2_700 ),
inference(constrained_superposition,[],[f22504,f30405]) ).
thf(f45048,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_700
| ~ spl2_754 ),
inference(constrained_superposition,[],[f31087,f30405]) ).
thf(f45049,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_700
| ~ spl2_755 ),
inference(constrained_superposition,[],[f31092,f30405]) ).
thf(f45050,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_37
| ~ spl2_700 ),
inference(constrained_superposition,[],[f527,f30405]) ).
thf(f45051,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_34
| ~ spl2_700 ),
inference(constrained_superposition,[],[f516,f30405]) ).
thf(f45054,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_700
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f45049]) ).
thf(f45056,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_700
| ~ spl2_754 ),
inference(trivial_inequality_removal,[],[f45048]) ).
thf(f45057,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_34
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f45051]) ).
thf(f45058,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_584
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f45047]) ).
thf(f45060,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_37
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f45050]) ).
thf(f45061,plain,
( spl2_510
| ~ spl2_700
| ~ spl2_755 ),
inference(avatar_split_clause,[],[f45054,f31091,f30404,f18580]) ).
thf(f45062,plain,
( spl2_204
| ~ spl2_700
| ~ spl2_754 ),
inference(avatar_split_clause,[],[f45056,f31086,f30404,f11530]) ).
thf(f45063,plain,
( $false
| ~ spl2_34
| ~ spl2_700
| ~ spl2_702 ),
inference(forward_subsumption_resolution,[],[f45057,f30412]) ).
thf(f45064,plain,
( ~ spl2_34
| ~ spl2_700
| ~ spl2_702 ),
inference(avatar_contradiction_clause,[],[f45063]) ).
thf(f45065,plain,
( spl2_205
| ~ spl2_584
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f45058,f30404,f22503,f11533]) ).
thf(f45067,plain,
( $false
| ~ spl2_37
| ~ spl2_700
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f45060,f30445]) ).
thf(f45068,plain,
( ~ spl2_37
| ~ spl2_700
| ~ spl2_710 ),
inference(avatar_contradiction_clause,[],[f45067]) ).
thf(f45113,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_57
| ~ spl2_100 ),
inference(constrained_superposition,[],[f19339,f3444]) ).
thf(f45114,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_100
| spl2_713 ),
inference(constrained_superposition,[],[f32552,f3444]) ).
thf(f45115,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_100
| spl2_264 ),
inference(constrained_superposition,[],[f19740,f3444]) ).
thf(f45116,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_100
| ~ spl2_755 ),
inference(constrained_superposition,[],[f31092,f3444]) ).
thf(f45123,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_100
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f45116]) ).
thf(f45124,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_100
| spl2_713 ),
inference(trivial_inequality_removal,[],[f45114]) ).
thf(f45125,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| spl2_57
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f45113]) ).
thf(f45126,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| spl2_264 ),
inference(trivial_inequality_removal,[],[f45115]) ).
thf(f45131,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_100
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f45123,f40]) ).
thf(f45132,plain,
( $false
| ~ spl2_100
| spl2_713 ),
inference(forward_subsumption_resolution,[],[f45124,f40]) ).
thf(f45133,plain,
( ~ spl2_100
| spl2_713 ),
inference(avatar_contradiction_clause,[],[f45132]) ).
thf(f45134,plain,
( $false
| spl2_57
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f45125,f40]) ).
thf(f45135,plain,
( spl2_57
| ~ spl2_100 ),
inference(avatar_contradiction_clause,[],[f45134]) ).
thf(f45136,plain,
( $false
| ~ spl2_100
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f45126,f40]) ).
thf(f45137,plain,
( ~ spl2_100
| spl2_264 ),
inference(avatar_contradiction_clause,[],[f45136]) ).
thf(f45138,plain,
( $false
| ~ spl2_100
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f45131,f40]) ).
thf(f45139,plain,
( ~ spl2_100
| ~ spl2_755 ),
inference(avatar_contradiction_clause,[],[f45138]) ).
thf(f45141,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_493 ),
inference(constrained_superposition,[],[f18389,f84]) ).
thf(f45153,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f45141]) ).
thf(f45154,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_264
| ~ spl2_493 ),
inference(forward_subsumption_resolution,[],[f45153,f19740]) ).
thf(f45155,plain,
( $false
| spl2_9
| spl2_264
| ~ spl2_493 ),
inference(forward_subsumption_resolution,[],[f45154,f127]) ).
thf(f45156,plain,
( spl2_9
| spl2_264
| ~ spl2_493 ),
inference(avatar_contradiction_clause,[],[f45155]) ).
thf(f45217,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f26,f18377]) ).
thf(f45234,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f45217]) ).
thf(f45246,plain,
( spl2_1040
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f45234,f18376,f44613]) ).
thf(f45320,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_691 ),
inference(constrained_superposition,[],[f26,f30313]) ).
thf(f45335,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f45320]) ).
thf(f45348,plain,
( spl2_1025
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f45335,f30312,f41517]) ).
thf(f45361,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_549
| ~ spl2_695 ),
inference(constrained_superposition,[],[f19463,f30331]) ).
thf(f45366,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_695 ),
inference(constrained_superposition,[],[f62,f30331]) ).
thf(f45395,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f45366]) ).
thf(f45398,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_549
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f45361]) ).
thf(f45407,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_175
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f45395,f12106]) ).
thf(f45410,plain,
( ~ spl2_786
| ~ spl2_549
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f45398,f30330,f19462,f32333]) ).
thf(f45415,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_175
| spl2_192
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f45407,f14990]) ).
thf(f45417,plain,
( ~ spl2_786
| spl2_175
| spl2_192
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f45415,f30330,f11077,f10944,f32333]) ).
thf(f45423,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_695
| ~ spl2_791 ),
inference(constrained_superposition,[],[f32503,f30331]) ).
thf(f45433,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_695
| ~ spl2_791 ),
inference(trivial_inequality_removal,[],[f45423]) ).
thf(f45503,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_698 ),
inference(constrained_superposition,[],[f26,f30341]) ).
thf(f45510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f45503]) ).
thf(f45528,plain,
( spl2_1040
| ~ spl2_698 ),
inference(avatar_split_clause,[],[f45510,f30340,f44613]) ).
thf(f45571,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_926 ),
inference(constrained_superposition,[],[f33892,f84]) ).
thf(f45576,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_926 ),
inference(constrained_superposition,[],[f33892,f194]) ).
thf(f45584,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_926 ),
inference(trivial_inequality_removal,[],[f45576]) ).
thf(f45585,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_926 ),
inference(trivial_inequality_removal,[],[f45571]) ).
thf(f45600,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497
| ~ spl2_698 ),
inference(constrained_superposition,[],[f18480,f30341]) ).
thf(f45614,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f45600]) ).
thf(f45615,plain,
( $false
| ~ spl2_497
| ~ spl2_695
| ~ spl2_698 ),
inference(forward_subsumption_resolution,[],[f45614,f30331]) ).
thf(f45616,plain,
( ~ spl2_497
| ~ spl2_695
| ~ spl2_698 ),
inference(avatar_contradiction_clause,[],[f45615]) ).
thf(f45619,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_710 ),
inference(constrained_superposition,[],[f36227,f28415]) ).
thf(f45623,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_710 ),
inference(trivial_inequality_removal,[],[f45619]) ).
thf(f45633,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f638,f32373]) ).
thf(f45676,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f45633]) ).
thf(f45705,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_528
| ~ spl2_693 ),
inference(constrained_superposition,[],[f18862,f30323]) ).
thf(f45710,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_528
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f45705]) ).
thf(f45718,plain,
( $false
| ~ spl2_528
| ~ spl2_691
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f45710,f30313]) ).
thf(f45719,plain,
( ~ spl2_528
| ~ spl2_691
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f45718]) ).
thf(f45782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f93,f18384]) ).
thf(f45786,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f45782]) ).
thf(f45788,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_492
| ~ spl2_695
| ~ spl2_791 ),
inference(forward_subsumption_resolution,[],[f45786,f45433]) ).
thf(f45789,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_492
| ~ spl2_500
| ~ spl2_695
| ~ spl2_791 ),
inference(forward_subsumption_resolution,[],[f45788,f18493]) ).
thf(f45790,plain,
( spl2_579
| ~ spl2_492
| ~ spl2_500
| ~ spl2_695
| ~ spl2_791 ),
inference(avatar_split_clause,[],[f45789,f32502,f30330,f18492,f18383,f22036]) ).
thf(f45795,plain,
( ~ spl2_166
| spl2_500
| ~ spl2_620
| ~ spl2_998 ),
inference(avatar_split_clause,[],[f45030,f38289,f24940,f18492,f10836]) ).
thf(f45801,plain,
( ~ spl2_227
| spl2_501
| ~ spl2_926 ),
inference(avatar_split_clause,[],[f45585,f33891,f18508,f12904]) ).
thf(f45813,plain,
( spl2_224
| spl2_40
| spl2_22 ),
inference(avatar_split_clause,[],[f38804,f389,f555,f12828]) ).
thf(f45817,definition,
( spl2_1043
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1043])],[avatar_definition]) ).
thf(f45818,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1043 ),
inference(avatar_component_clause,[],[f45817]) ).
thf(f45819,plain,
( spl2_1043
| spl2_224
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f43428,f19348,f12828,f45817]) ).
thf(f45821,definition,
( spl2_1044
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1044])],[avatar_definition]) ).
thf(f45822,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_1044 ),
inference(avatar_component_clause,[],[f45821]) ).
thf(f45833,plain,
( spl2_34
| ~ spl2_43
| spl2_28
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f44807,f385,f411,f579,f515]) ).
thf(f45835,plain,
( spl2_224
| spl2_40
| spl2_188 ),
inference(avatar_split_clause,[],[f41502,f11060,f555,f12828]) ).
thf(f45838,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f11045]) ).
thf(f45839,plain,
( spl2_40
| spl2_184
| spl2_161 ),
inference(avatar_split_clause,[],[f40728,f10802,f11045,f555]) ).
thf(f45842,plain,
( spl2_224
| spl2_383 ),
inference(avatar_split_clause,[],[f41054,f15449,f12828]) ).
thf(f45843,plain,
( spl2_184
| spl2_540 ),
inference(avatar_split_clause,[],[f19884,f19287,f11045]) ).
thf(f45844,plain,
( spl2_224
| ~ spl2_25
| spl2_182
| spl2_188 ),
inference(avatar_split_clause,[],[f41498,f11060,f10976,f399,f12828]) ).
thf(f45848,definition,
( spl2_1045
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1045])],[avatar_definition]) ).
thf(f45849,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_1045 ),
inference(avatar_component_clause,[],[f45848]) ).
thf(f45876,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f89,f505]) ).
thf(f45895,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f45876]) ).
thf(f45911,plain,
( spl2_100
| spl2_106
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f45895,f411,f3578,f3443]) ).
thf(f45954,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f3543,f10837]) ).
thf(f45958,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f153,f10837]) ).
thf(f45965,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f45954]) ).
thf(f45966,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f45958]) ).
thf(f46063,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f3579,f194]) ).
thf(f46073,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f46063]) ).
thf(f46075,plain,
( spl2_1044
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f46073,f3578,f45821]) ).
thf(f46076,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_212
| ~ spl2_224 ),
inference(constrained_superposition,[],[f11921,f14113]) ).
thf(f46083,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_212
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f46076]) ).
thf(f46088,plain,
( $false
| ~ spl2_21
| ~ spl2_212
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f46083,f386]) ).
thf(f46089,plain,
( ~ spl2_21
| ~ spl2_212
| ~ spl2_224 ),
inference(avatar_contradiction_clause,[],[f46088]) ).
thf(f46092,definition,
( spl2_1046
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1046])],[avatar_definition]) ).
thf(f46093,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1046 ),
inference(avatar_component_clause,[],[f46092]) ).
thf(f46094,plain,
( spl2_1046
| ~ spl2_383
| ~ spl2_926 ),
inference(avatar_split_clause,[],[f45584,f33891,f15449,f46092]) ).
thf(f46124,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_752 ),
inference(constrained_superposition,[],[f31072,f10968]) ).
thf(f46161,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_180
| ~ spl2_752 ),
inference(trivial_inequality_removal,[],[f46124]) ).
thf(f46172,plain,
( ~ spl2_177
| ~ spl2_180
| ~ spl2_752 ),
inference(avatar_split_clause,[],[f46161,f31071,f10967,f10951]) ).
thf(f46201,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_500 ),
inference(constrained_superposition,[],[f1346,f18493]) ).
thf(f46202,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_77
| ~ spl2_163 ),
inference(constrained_superposition,[],[f1346,f15504]) ).
thf(f46211,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_77
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f46201]) ).
thf(f46212,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_77
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f46202]) ).
thf(f46217,plain,
( ~ spl2_504
| ~ spl2_77
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f46211,f18492,f1345,f18540]) ).
thf(f46218,plain,
( $false
| ~ spl2_77
| ~ spl2_154
| ~ spl2_163 ),
inference(forward_subsumption_resolution,[],[f46212,f10739]) ).
thf(f46219,plain,
( ~ spl2_77
| ~ spl2_154
| ~ spl2_163 ),
inference(avatar_contradiction_clause,[],[f46218]) ).
thf(f46273,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f59,f10964]) ).
thf(f46291,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f46273]) ).
thf(f46365,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14508,f49]) ).
thf(f46370,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f46365]) ).
thf(f46377,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_184
| ~ spl2_206 ),
inference(constrained_superposition,[],[f11540,f45838]) ).
thf(f46384,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_184
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f46377]) ).
thf(f46391,plain,
( $false
| ~ spl2_21
| ~ spl2_184
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f46384,f386]) ).
thf(f46392,plain,
( ~ spl2_21
| ~ spl2_184
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f46391]) ).
thf(f46453,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_1043 ),
inference(constrained_superposition,[],[f45818,f84]) ).
thf(f46457,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_1043 ),
inference(constrained_superposition,[],[f45818,f10968]) ).
thf(f46464,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_1043 ),
inference(trivial_inequality_removal,[],[f46453]) ).
thf(f46468,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_1043 ),
inference(trivial_inequality_removal,[],[f46457]) ).
thf(f46469,plain,
( spl2_264
| ~ spl2_50
| ~ spl2_1043 ),
inference(avatar_split_clause,[],[f46464,f45817,f760,f13671]) ).
thf(f46470,plain,
( ~ spl2_225
| ~ spl2_180
| ~ spl2_1043 ),
inference(avatar_split_clause,[],[f46468,f45817,f10967,f12897]) ).
thf(f46471,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_502
| ~ spl2_1046 ),
inference(constrained_superposition,[],[f18528,f46093]) ).
thf(f46483,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_502
| ~ spl2_1046 ),
inference(trivial_inequality_removal,[],[f46471]) ).
thf(f46486,plain,
( $false
| ~ spl2_21
| ~ spl2_502
| ~ spl2_1046 ),
inference(forward_subsumption_resolution,[],[f46483,f386]) ).
thf(f46487,plain,
( ~ spl2_21
| ~ spl2_502
| ~ spl2_1046 ),
inference(avatar_contradiction_clause,[],[f46486]) ).
thf(f46541,definition,
( spl2_1047
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1047])],[avatar_definition]) ).
thf(f46542,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1047 ),
inference(avatar_component_clause,[],[f46541]) ).
thf(f46552,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_691 ),
inference(constrained_superposition,[],[f3527,f30313]) ).
thf(f46570,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f46552]) ).
thf(f46590,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_691
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f46570,f36227]) ).
thf(f46598,plain,
( spl2_709
| ~ spl2_691
| spl2_710 ),
inference(avatar_split_clause,[],[f46590,f30444,f30312,f30441]) ).
thf(f46612,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_695 ),
inference(constrained_superposition,[],[f57,f30331]) ).
thf(f46648,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f46612]) ).
thf(f46696,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_240
| ~ spl2_695 ),
inference(constrained_superposition,[],[f13265,f30331]) ).
thf(f46705,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_240
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f46696]) ).
thf(f46709,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_240
| ~ spl2_695 ),
inference(constrained_superposition,[],[f46705,f195]) ).
thf(f46716,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_240
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f46709]) ).
thf(f46717,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_728 ),
inference(avatar_component_clause,[],[f30872]) ).
thf(f46721,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_240
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f46716,f40]) ).
thf(f46722,plain,
( spl2_728
| ~ spl2_240
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f46721,f30330,f13264,f30872]) ).
thf(f46747,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_501
| ~ spl2_541 ),
inference(constrained_superposition,[],[f19306,f18509]) ).
thf(f46756,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_501
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f46747]) ).
thf(f46759,plain,
( $false
| ~ spl2_57
| ~ spl2_501
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f46756,f820]) ).
thf(f46760,plain,
( ~ spl2_57
| ~ spl2_501
| ~ spl2_541 ),
inference(avatar_contradiction_clause,[],[f46759]) ).
thf(f46762,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_697
| ~ spl2_719 ),
inference(constrained_superposition,[],[f30573,f30338]) ).
thf(f46775,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_697
| ~ spl2_719 ),
inference(trivial_inequality_removal,[],[f46762]) ).
thf(f46780,plain,
( $false
| ~ spl2_500
| ~ spl2_697
| ~ spl2_719 ),
inference(forward_subsumption_resolution,[],[f46775,f18493]) ).
thf(f46781,plain,
( ~ spl2_500
| ~ spl2_697
| ~ spl2_719 ),
inference(avatar_contradiction_clause,[],[f46780]) ).
thf(f46785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f556,f84]) ).
thf(f46788,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f556,f50]) ).
thf(f46790,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f46785]) ).
thf(f46792,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f46788]) ).
thf(f46814,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_502
| ~ spl2_694 ),
inference(constrained_superposition,[],[f18528,f30326]) ).
thf(f46817,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_502
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f46814]) ).
thf(f46820,plain,
( $false
| ~ spl2_502
| ~ spl2_694
| ~ spl2_702 ),
inference(forward_subsumption_resolution,[],[f46817,f30412]) ).
thf(f46821,plain,
( ~ spl2_502
| ~ spl2_694
| ~ spl2_702 ),
inference(avatar_contradiction_clause,[],[f46820]) ).
thf(f46822,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_714
| ~ spl2_719 ),
inference(constrained_superposition,[],[f30573,f32352]) ).
thf(f46825,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_714
| ~ spl2_719 ),
inference(trivial_inequality_removal,[],[f46822]) ).
thf(f46826,plain,
( $false
| ~ spl2_43
| ~ spl2_714
| ~ spl2_719 ),
inference(forward_subsumption_resolution,[],[f46825,f959]) ).
thf(f46827,plain,
( ~ spl2_43
| ~ spl2_714
| ~ spl2_719 ),
inference(avatar_contradiction_clause,[],[f46826]) ).
thf(f46900,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_698
| ~ spl2_977 ),
inference(constrained_superposition,[],[f38108,f30341]) ).
thf(f46928,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_698
| ~ spl2_977 ),
inference(trivial_inequality_removal,[],[f46900]) ).
thf(f46944,plain,
( ~ spl2_569
| ~ spl2_698
| ~ spl2_977 ),
inference(avatar_split_clause,[],[f46928,f38107,f30340,f20183]) ).
thf(f47013,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_528
| ~ spl2_733 ),
inference(constrained_superposition,[],[f18862,f30913]) ).
thf(f47014,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_528 ),
inference(constrained_superposition,[],[f18862,f194]) ).
thf(f47023,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_528 ),
inference(trivial_inequality_removal,[],[f47014]) ).
thf(f47024,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_528
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f47013]) ).
thf(f47025,plain,
( ~ spl2_225
| spl2_1046
| ~ spl2_528 ),
inference(avatar_split_clause,[],[f47023,f18861,f46092,f12897]) ).
thf(f47026,plain,
( $false
| ~ spl2_180
| ~ spl2_528
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f47024,f10968]) ).
thf(f47027,plain,
( ~ spl2_180
| ~ spl2_528
| ~ spl2_733 ),
inference(avatar_contradiction_clause,[],[f47026]) ).
thf(f47028,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_492
| ~ spl2_579 ),
inference(constrained_superposition,[],[f22037,f18384]) ).
thf(f47030,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_501
| ~ spl2_579 ),
inference(constrained_superposition,[],[f22037,f18509]) ).
thf(f47031,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_503
| ~ spl2_579 ),
inference(constrained_superposition,[],[f22037,f19275]) ).
thf(f47035,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_503
| ~ spl2_579 ),
inference(trivial_inequality_removal,[],[f47031]) ).
thf(f47039,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_501
| ~ spl2_579 ),
inference(trivial_inequality_removal,[],[f47030]) ).
thf(f47040,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_492
| ~ spl2_579 ),
inference(trivial_inequality_removal,[],[f47028]) ).
thf(f47042,plain,
( $false
| ~ spl2_192
| ~ spl2_503
| ~ spl2_579 ),
inference(forward_subsumption_resolution,[],[f47035,f11078]) ).
thf(f47043,plain,
( ~ spl2_192
| ~ spl2_503
| ~ spl2_579 ),
inference(avatar_contradiction_clause,[],[f47042]) ).
thf(f47046,plain,
( $false
| ~ spl2_371
| ~ spl2_501
| ~ spl2_579 ),
inference(forward_subsumption_resolution,[],[f47039,f14997]) ).
thf(f47047,plain,
( ~ spl2_371
| ~ spl2_501
| ~ spl2_579 ),
inference(avatar_contradiction_clause,[],[f47046]) ).
thf(f47048,plain,
( ~ spl2_580
| ~ spl2_492
| ~ spl2_579 ),
inference(avatar_split_clause,[],[f47040,f22036,f18383,f22040]) ).
thf(f47086,plain,
( $false
| ~ spl2_2
| spl2_714 ),
inference(forward_subsumption_resolution,[],[f30500,f69]) ).
thf(f47087,plain,
( ~ spl2_2
| spl2_714 ),
inference(avatar_contradiction_clause,[],[f47086]) ).
thf(f47092,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_513
| ~ spl2_1044 ),
inference(constrained_superposition,[],[f45822,f18683]) ).
thf(f47104,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_513
| ~ spl2_624 ),
inference(constrained_superposition,[],[f25034,f18683]) ).
thf(f47131,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_513
| ~ spl2_1044 ),
inference(trivial_inequality_removal,[],[f47092]) ).
thf(f47133,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_513
| ~ spl2_624 ),
inference(trivial_inequality_removal,[],[f47104]) ).
thf(f47140,plain,
( spl2_1046
| ~ spl2_513
| ~ spl2_1044 ),
inference(avatar_split_clause,[],[f47131,f45821,f18682,f46092]) ).
thf(f47142,plain,
( ~ spl2_227
| ~ spl2_513
| ~ spl2_624 ),
inference(avatar_split_clause,[],[f47133,f25033,f18682,f12904]) ).
thf(f47153,plain,
( spl2_232
| spl2_175
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f46291,f10963,f10944,f12925]) ).
thf(f47155,plain,
( $false
| ~ spl2_2
| spl2_43 ),
inference(forward_subsumption_resolution,[],[f580,f69]) ).
thf(f47156,plain,
( ~ spl2_2
| spl2_43 ),
inference(avatar_contradiction_clause,[],[f47155]) ).
thf(f47157,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_154
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f46370,f11063]) ).
thf(f47158,plain,
( spl2_723
| spl2_175
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f46648,f30330,f10944,f30741]) ).
thf(f47167,plain,
( ~ spl2_16
| spl2_154
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f47157,f14507,f10738,f309]) ).
thf(f47170,plain,
( ~ spl2_6
| spl2_388
| spl2_164
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f41605,f11052,f10822,f15794,f105]) ).
thf(f47174,plain,
( spl2_714
| ~ spl2_16
| spl2_9
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f45676,f32372,f126,f309,f30499]) ).
thf(f47184,plain,
( ~ spl2_234
| spl2_43
| spl2_100
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f45965,f10836,f3443,f579,f12935]) ).
thf(f47185,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_710 ),
inference(forward_subsumption_resolution,[],[f45623,f40]) ).
thf(f47201,plain,
( spl2_9
| spl2_714
| spl2_43
| spl2_710 ),
inference(avatar_split_clause,[],[f47185,f30444,f579,f30499,f126]) ).
thf(f47207,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f24,f837]) ).
thf(f47208,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f47207]) ).
thf(f47221,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_502 ),
inference(constrained_superposition,[],[f18528,f114]) ).
thf(f47224,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_7
| ~ spl2_502 ),
inference(trivial_inequality_removal,[],[f47221]) ).
thf(f47225,plain,
( $false
| ~ spl2_7
| ~ spl2_9
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f47224,f837]) ).
thf(f47226,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f47225]) ).
thf(f47228,plain,
( ~ spl2_16
| spl2_185
| spl2_15
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f45966,f10836,f283,f11048,f309]) ).
thf(f47229,plain,
( spl2_73
| spl2_70
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f46792,f555,f1084,f1195]) ).
thf(f47264,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_227 ),
inference(constrained_superposition,[],[f12905,f27]) ).
thf(f47267,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_227 ),
inference(trivial_inequality_removal,[],[f47264]) ).
thf(f47269,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_186 ),
inference(constrained_superposition,[],[f1346,f14947]) ).
thf(f47274,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_77
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f47269]) ).
thf(f47280,plain,
( $false
| ~ spl2_77
| ~ spl2_175
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f47274,f10945]) ).
thf(f47281,plain,
( ~ spl2_77
| ~ spl2_175
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f47280]) ).
thf(f47296,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f26,f10823]) ).
thf(f47312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f47296]) ).
thf(f47319,plain,
( spl2_1025
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f47312,f10822,f41517]) ).
thf(f47353,plain,
( $false
| ~ spl2_7
| spl2_501 ),
inference(forward_subsumption_resolution,[],[f18942,f114]) ).
thf(f47354,plain,
( ~ spl2_7
| spl2_501 ),
inference(avatar_contradiction_clause,[],[f47353]) ).
thf(f47417,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f47418,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f47417]) ).
thf(f47599,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_371
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f14997]) ).
thf(f47600,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f114]) ).
thf(f47601,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f11078]) ).
thf(f47605,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_371
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f47599]) ).
thf(f47606,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_7
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f47600]) ).
thf(f47609,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f47601]) ).
thf(f47613,plain,
( ~ spl2_6
| ~ spl2_371
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f47605,f15794,f14996,f105]) ).
thf(f47614,plain,
( ~ spl2_6
| ~ spl2_7
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f47606,f15794,f113,f105]) ).
thf(f47676,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_490
| ~ spl2_1045 ),
inference(constrained_superposition,[],[f45849,f18377]) ).
thf(f47686,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_490
| ~ spl2_624 ),
inference(constrained_superposition,[],[f25034,f18377]) ).
thf(f47699,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_490
| ~ spl2_624 ),
inference(trivial_inequality_removal,[],[f47686]) ).
thf(f47716,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_490
| ~ spl2_1045 ),
inference(trivial_inequality_removal,[],[f47676]) ).
thf(f47722,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_490
| ~ spl2_1045 ),
inference(constrained_superposition,[],[f47716,f194]) ).
thf(f47726,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_490
| ~ spl2_1045 ),
inference(trivial_inequality_removal,[],[f47722]) ).
thf(f47730,plain,
( spl2_1046
| ~ spl2_490
| ~ spl2_1045 ),
inference(avatar_split_clause,[],[f47726,f45848,f18376,f46092]) ).
thf(f47744,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_491
| ~ spl2_926 ),
inference(constrained_superposition,[],[f33892,f18381]) ).
thf(f47768,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_491
| ~ spl2_926 ),
inference(trivial_inequality_removal,[],[f47744]) ).
thf(f47898,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_547
| ~ spl2_692 ),
inference(constrained_superposition,[],[f19455,f30316]) ).
thf(f47900,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_221
| ~ spl2_547 ),
inference(constrained_superposition,[],[f19455,f12941]) ).
thf(f47901,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_547 ),
inference(constrained_superposition,[],[f19455,f83]) ).
thf(f47907,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_547 ),
inference(trivial_inequality_removal,[],[f47901]) ).
thf(f47908,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_547
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f47898]) ).
thf(f47910,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_221
| ~ spl2_547 ),
inference(trivial_inequality_removal,[],[f47900]) ).
thf(f47914,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_221
| ~ spl2_547 ),
inference(forward_subsumption_resolution,[],[f47910,f386]) ).
thf(f47917,plain,
( ~ spl2_70
| ~ spl2_21
| ~ spl2_221
| ~ spl2_547 ),
inference(avatar_split_clause,[],[f47914,f19454,f12810,f385,f1084]) ).
thf(f48071,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_190 ),
inference(constrained_superposition,[],[f11071,f114]) ).
thf(f48077,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f48071]) ).
thf(f48086,plain,
( $false
| ~ spl2_7
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f48077,f114]) ).
thf(f48087,plain,
( ~ spl2_7
| ~ spl2_190 ),
inference(avatar_contradiction_clause,[],[f48086]) ).
thf(f48136,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_693
| ~ spl2_926 ),
inference(constrained_superposition,[],[f33892,f30323]) ).
thf(f48158,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_693
| ~ spl2_926 ),
inference(trivial_inequality_removal,[],[f48136]) ).
thf(f48180,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_693
| ~ spl2_926 ),
inference(constrained_superposition,[],[f48158,f195]) ).
thf(f48185,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_693
| ~ spl2_926 ),
inference(trivial_inequality_removal,[],[f48180]) ).
thf(f48197,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_693
| ~ spl2_926 ),
inference(forward_subsumption_resolution,[],[f48185,f40]) ).
thf(f48199,plain,
( ~ spl2_702
| ~ spl2_714
| ~ spl2_547
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f47908,f30315,f19454,f30499,f30411]) ).
thf(f48206,plain,
( spl2_727
| ~ spl2_693
| ~ spl2_926 ),
inference(avatar_split_clause,[],[f48197,f33891,f30322,f30869]) ).
thf(f48326,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_710 ),
inference(constrained_superposition,[],[f1346,f30445]) ).
thf(f48330,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_77
| ~ spl2_710 ),
inference(trivial_inequality_removal,[],[f48326]) ).
thf(f48332,plain,
( $false
| ~ spl2_77
| ~ spl2_702
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f48330,f30412]) ).
thf(f48333,plain,
( ~ spl2_77
| ~ spl2_702
| ~ spl2_710 ),
inference(avatar_contradiction_clause,[],[f48332]) ).
thf(f48374,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_698 ),
inference(constrained_superposition,[],[f363,f30341]) ).
thf(f48384,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_698 ),
inference(constrained_superposition,[],[f47418,f30341]) ).
thf(f48395,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_1
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f48384]) ).
thf(f48401,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f48374]) ).
thf(f48425,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_527 ),
inference(constrained_superposition,[],[f18783,f114]) ).
thf(f48438,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_527 ),
inference(trivial_inequality_removal,[],[f48425]) ).
thf(f48441,plain,
( $false
| ~ spl2_7
| ~ spl2_527 ),
inference(forward_subsumption_resolution,[],[f48438,f114]) ).
thf(f48442,plain,
( ~ spl2_7
| ~ spl2_527 ),
inference(avatar_contradiction_clause,[],[f48441]) ).
thf(f48461,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_57 ),
inference(constrained_superposition,[],[f47208,f820]) ).
thf(f48470,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f48461]) ).
thf(f48473,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_21
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f48470,f386]) ).
thf(f48474,plain,
( spl2_37
| ~ spl2_9
| ~ spl2_21
| ~ spl2_57 ),
inference(avatar_split_clause,[],[f48473,f819,f385,f126,f526]) ).
thf(f48625,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_568 ),
inference(constrained_superposition,[],[f20176,f194]) ).
thf(f48630,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_568 ),
inference(trivial_inequality_removal,[],[f48625]) ).
thf(f48653,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| ~ spl2_192 ),
inference(constrained_superposition,[],[f103,f11078]) ).
thf(f48668,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f48653]) ).
thf(f48681,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_176
| ~ spl2_482 ),
inference(constrained_superposition,[],[f18302,f10948]) ).
thf(f48699,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_176
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f48681]) ).
thf(f48701,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_176
| ~ spl2_192
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f48699,f11078]) ).
thf(f48702,plain,
( spl2_206
| ~ spl2_176
| ~ spl2_192
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f48701,f18301,f11077,f10947,f11539]) ).
thf(f48703,plain,
( ~ spl2_180
| ~ spl2_490
| ~ spl2_624 ),
inference(avatar_split_clause,[],[f47699,f25033,f18376,f10967]) ).
thf(f48704,plain,
( ~ spl2_180
| ~ spl2_491
| ~ spl2_926 ),
inference(avatar_split_clause,[],[f47768,f33891,f18380,f10967]) ).
thf(f48834,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_693
| ~ spl2_723 ),
inference(constrained_superposition,[],[f30742,f30323]) ).
thf(f48841,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_693
| ~ spl2_723 ),
inference(trivial_inequality_removal,[],[f48834]) ).
thf(f48849,plain,
( $false
| ~ spl2_490
| ~ spl2_693
| ~ spl2_723 ),
inference(forward_subsumption_resolution,[],[f48841,f18377]) ).
thf(f48850,plain,
( ~ spl2_490
| ~ spl2_693
| ~ spl2_723 ),
inference(avatar_contradiction_clause,[],[f48849]) ).
thf(f49016,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_1046 ),
inference(constrained_superposition,[],[f44806,f46093]) ).
thf(f49017,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f44806,f83]) ).
thf(f49021,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f49017]) ).
thf(f49024,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_1046 ),
inference(trivial_inequality_removal,[],[f49016]) ).
thf(f49036,definition,
( spl2_1049
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1049])],[avatar_definition]) ).
thf(f49037,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| spl2_1049 ),
inference(avatar_component_clause,[],[f49036]) ).
thf(f49038,plain,
( ~ spl2_1049
| spl2_504
| ~ spl2_1
| ~ spl2_698 ),
inference(avatar_split_clause,[],[f48395,f30340,f65,f18540,f49036]) ).
thf(f49040,plain,
( spl2_968
| spl2_700
| ~ spl2_698 ),
inference(avatar_split_clause,[],[f48401,f30340,f30404,f36312]) ).
thf(f49042,plain,
( ~ spl2_504
| spl2_541
| ~ spl2_21
| ~ spl2_1046 ),
inference(avatar_split_clause,[],[f49024,f46092,f385,f19305,f18540]) ).
thf(f49054,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_70 ),
inference(constrained_superposition,[],[f24,f1085]) ).
thf(f49059,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f49054]) ).
thf(f49072,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_1049 ),
inference(constrained_superposition,[],[f49037,f49]) ).
thf(f49074,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| spl2_1049 ),
inference(trivial_inequality_removal,[],[f49072]) ).
thf(f49103,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_520 ),
inference(constrained_superposition,[],[f49059,f19285]) ).
thf(f49116,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f49103]) ).
thf(f49126,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_503
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f49116,f19275]) ).
thf(f49127,plain,
( spl2_502
| ~ spl2_70
| ~ spl2_503
| ~ spl2_520 ),
inference(avatar_split_clause,[],[f49126,f18710,f18530,f1084,f18527]) ).
thf(f49137,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_184 ),
inference(constrained_superposition,[],[f44806,f45838]) ).
thf(f49150,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f49137]) ).
thf(f49153,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_175
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f49150,f10945]) ).
thf(f49154,plain,
( spl2_183
| ~ spl2_21
| ~ spl2_175
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f49153,f11045,f10944,f385,f11042]) ).
thf(f49183,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f363,f10964]) ).
thf(f49217,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f49183]) ).
thf(f49308,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_183 ),
inference(constrained_superposition,[],[f11043,f114]) ).
thf(f49310,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183
| ~ spl2_192 ),
inference(constrained_superposition,[],[f11043,f11078]) ).
thf(f49315,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f49310]) ).
thf(f49322,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f49308]) ).
thf(f49326,plain,
( $false
| ~ spl2_70
| ~ spl2_183
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f49315,f1085]) ).
thf(f49327,plain,
( ~ spl2_70
| ~ spl2_183
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f49326]) ).
thf(f49332,plain,
( $false
| ~ spl2_7
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f49322,f114]) ).
thf(f49333,plain,
( ~ spl2_7
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f49332]) ).
thf(f49341,plain,
( ~ spl2_540
| spl2_1046
| ~ spl2_568 ),
inference(avatar_split_clause,[],[f48630,f20175,f46092,f19287]) ).
thf(f49342,plain,
( spl2_702
| spl2_1049 ),
inference(avatar_split_clause,[],[f49074,f49036,f30411]) ).
thf(f49353,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_9
| ~ spl2_547 ),
inference(forward_subsumption_resolution,[],[f47907,f837]) ).
thf(f49362,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_161
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f47267,f18258]) ).
thf(f49364,plain,
( spl2_57
| spl2_56
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f46790,f555,f816,f819]) ).
thf(f49369,plain,
( ~ spl2_43
| ~ spl2_192
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f47609,f15794,f11077,f579]) ).
thf(f49371,plain,
( spl2_164
| ~ spl2_43
| ~ spl2_5
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f48668,f11077,f102,f579,f10822]) ).
thf(f49372,plain,
( spl2_221
| spl2_240
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f49217,f10963,f13264,f12810]) ).
thf(f49375,plain,
( ~ spl2_43
| spl2_164
| ~ spl2_9
| ~ spl2_547 ),
inference(avatar_split_clause,[],[f49353,f19454,f126,f10822,f579]) ).
thf(f49376,plain,
( spl2_264
| spl2_161
| spl2_227 ),
inference(avatar_split_clause,[],[f49362,f12904,f10802,f13671]) ).
thf(f49478,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_221
| ~ spl2_463 ),
inference(constrained_superposition,[],[f16989,f12941]) ).
thf(f49485,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_221
| ~ spl2_463 ),
inference(trivial_inequality_removal,[],[f49478]) ).
thf(f49486,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_21
| ~ spl2_221
| ~ spl2_463 ),
inference(forward_subsumption_resolution,[],[f49485,f386]) ).
thf(f49487,plain,
( $false
| ~ spl2_21
| ~ spl2_191
| ~ spl2_221
| ~ spl2_463 ),
inference(forward_subsumption_resolution,[],[f49486,f12895]) ).
thf(f49488,plain,
( ~ spl2_21
| ~ spl2_191
| ~ spl2_221
| ~ spl2_463 ),
inference(avatar_contradiction_clause,[],[f49487]) ).
thf(f49503,definition,
( spl2_1052
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1052])],[avatar_definition]) ).
thf(f49504,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_1052 ),
inference(avatar_component_clause,[],[f49503]) ).
thf(f49505,plain,
( spl2_224
| spl2_1052
| spl2_154
| spl2_22 ),
inference(avatar_split_clause,[],[f38798,f389,f10738,f49503,f12828]) ).
thf(f49523,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_70 ),
inference(constrained_superposition,[],[f24,f1085]) ).
thf(f49524,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f49523]) ).
thf(f49558,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_23
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1346,f393]) ).
thf(f49565,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_23
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f49558]) ).
thf(f49570,plain,
( $false
| ~ spl2_21
| ~ spl2_23
| ~ spl2_77 ),
inference(forward_subsumption_resolution,[],[f49565,f386]) ).
thf(f49571,plain,
( ~ spl2_21
| ~ spl2_23
| ~ spl2_77 ),
inference(avatar_contradiction_clause,[],[f49570]) ).
thf(f49809,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_472
| ~ spl2_511 ),
inference(constrained_superposition,[],[f17574,f18607]) ).
thf(f49821,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_472
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f49809]) ).
thf(f50003,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_503
| ~ spl2_509 ),
inference(constrained_superposition,[],[f18577,f19275]) ).
thf(f50008,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_503
| ~ spl2_509 ),
inference(trivial_inequality_removal,[],[f50003]) ).
thf(f50039,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_388
| ~ spl2_696 ),
inference(constrained_superposition,[],[f15795,f30334]) ).
thf(f50045,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_388
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f50039]) ).
thf(f50052,plain,
( ~ spl2_710
| ~ spl2_388
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f50045,f30333,f15794,f30444]) ).
thf(f50210,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_693 ),
inference(constrained_superposition,[],[f3527,f30323]) ).
thf(f50235,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f50210]) ).
thf(f50271,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_70
| ~ spl2_221 ),
inference(constrained_superposition,[],[f49524,f12941]) ).
thf(f50285,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f50271]) ).
thf(f50292,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_192
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f50285,f11078]) ).
thf(f50293,plain,
( spl2_206
| ~ spl2_70
| ~ spl2_192
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f50292,f12810,f11077,f1084,f11539]) ).
thf(f50295,plain,
( spl2_1018
| spl2_500
| ~ spl2_693 ),
inference(avatar_split_clause,[],[f50235,f30322,f18492,f40455]) ).
thf(f50302,plain,
( ~ spl2_500
| ~ spl2_472
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f49821,f18606,f17573,f18492]) ).
thf(f50304,plain,
( ~ spl2_43
| ~ spl2_503
| ~ spl2_509 ),
inference(avatar_split_clause,[],[f50008,f18576,f18530,f579]) ).
thf(f50310,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f24,f959]) ).
thf(f50311,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f50310]) ).
thf(f50420,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f10977,f84]) ).
thf(f50427,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f50420]) ).
thf(f50517,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1045 ),
inference(constrained_superposition,[],[f45849,f84]) ).
thf(f50522,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1045 ),
inference(trivial_inequality_removal,[],[f50517]) ).
thf(f50529,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_28
| ~ spl2_1045 ),
inference(forward_subsumption_resolution,[],[f50522,f505]) ).
thf(f50530,plain,
( $false
| ~ spl2_28
| spl2_371
| ~ spl2_1045 ),
inference(forward_subsumption_resolution,[],[f50529,f15796]) ).
thf(f50531,plain,
( ~ spl2_28
| spl2_371
| ~ spl2_1045 ),
inference(avatar_contradiction_clause,[],[f50530]) ).
thf(f50532,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_697
| ~ spl2_715 ),
inference(constrained_superposition,[],[f30503,f30338]) ).
thf(f50539,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_697
| ~ spl2_715 ),
inference(trivial_inequality_removal,[],[f50532]) ).
thf(f50542,plain,
( $false
| ~ spl2_504
| ~ spl2_697
| ~ spl2_715 ),
inference(forward_subsumption_resolution,[],[f50539,f18541]) ).
thf(f50543,plain,
( ~ spl2_504
| ~ spl2_697
| ~ spl2_715 ),
inference(avatar_contradiction_clause,[],[f50542]) ).
thf(f50549,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_691 ),
inference(constrained_superposition,[],[f57,f30313]) ).
thf(f50557,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_691 ),
inference(constrained_superposition,[],[f47418,f30313]) ).
thf(f50574,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f50557]) ).
thf(f50584,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f50549]) ).
thf(f50589,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_1
| spl2_175
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f50574,f12106]) ).
thf(f50592,plain,
( ~ spl2_1049
| ~ spl2_1
| spl2_175
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f50589,f30312,f10944,f65,f49036]) ).
thf(f50604,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_190
| ~ spl2_696 ),
inference(constrained_superposition,[],[f11071,f30334]) ).
thf(f50605,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_190
| ~ spl2_489 ),
inference(constrained_superposition,[],[f11071,f18374]) ).
thf(f50607,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_184
| ~ spl2_190 ),
inference(constrained_superposition,[],[f11071,f45838]) ).
thf(f50614,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_190
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f50605]) ).
thf(f50615,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_184
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f50607]) ).
thf(f50616,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_190
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f50604]) ).
thf(f50622,plain,
( $false
| ~ spl2_190
| ~ spl2_489
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f50614,f18607]) ).
thf(f50623,plain,
( ~ spl2_190
| ~ spl2_489
| ~ spl2_511 ),
inference(avatar_contradiction_clause,[],[f50622]) ).
thf(f50624,plain,
( $false
| ~ spl2_184
| ~ spl2_190
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f50615,f14113]) ).
thf(f50625,plain,
( ~ spl2_184
| ~ spl2_190
| ~ spl2_224 ),
inference(avatar_contradiction_clause,[],[f50624]) ).
thf(f50631,plain,
( spl2_57
| spl2_9
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f50427,f10976,f126,f819]) ).
thf(f50635,plain,
( ~ spl2_727
| ~ spl2_190
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f50616,f30333,f11070,f30869]) ).
thf(f50645,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_70 ),
inference(constrained_superposition,[],[f24,f1085]) ).
thf(f50646,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f50645]) ).
thf(f50683,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_206
| ~ spl2_696 ),
inference(constrained_superposition,[],[f11540,f30334]) ).
thf(f50692,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_206
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f50683]) ).
thf(f50700,plain,
( ~ spl2_702
| ~ spl2_206
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f50692,f30333,f11539,f30411]) ).
thf(f50702,plain,
( spl2_699
| spl2_702
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f50584,f30312,f30411,f30401]) ).
thf(f50753,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_727 ),
inference(constrained_superposition,[],[f30870,f28415]) ).
thf(f50755,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_727 ),
inference(trivial_inequality_removal,[],[f50753]) ).
thf(f50775,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_710 ),
inference(constrained_superposition,[],[f50311,f30445]) ).
thf(f50794,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_710 ),
inference(trivial_inequality_removal,[],[f50775]) ).
thf(f50874,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_57
| ~ spl2_70 ),
inference(constrained_superposition,[],[f50646,f820]) ).
thf(f50889,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_57
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f50874]) ).
thf(f50891,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_57
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f50889,f959]) ).
thf(f50892,plain,
( spl2_77
| ~ spl2_43
| ~ spl2_57
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f50891,f1084,f819,f579,f1345]) ).
thf(f50907,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f817,f193]) ).
thf(f50909,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f50907]) ).
thf(f50928,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497 ),
inference(constrained_superposition,[],[f18480,f193]) ).
thf(f50933,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497 ),
inference(constrained_superposition,[],[f18480,f49]) ).
thf(f50938,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497 ),
inference(trivial_inequality_removal,[],[f50928]) ).
thf(f50940,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_497 ),
inference(trivial_inequality_removal,[],[f50933]) ).
thf(f51002,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_692
| ~ spl2_715 ),
inference(constrained_superposition,[],[f30503,f30316]) ).
thf(f51006,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_692
| ~ spl2_715 ),
inference(trivial_inequality_removal,[],[f51002]) ).
thf(f51010,plain,
( $false
| ~ spl2_175
| ~ spl2_692
| ~ spl2_715 ),
inference(forward_subsumption_resolution,[],[f51006,f10945]) ).
thf(f51011,plain,
( ~ spl2_175
| ~ spl2_692
| ~ spl2_715 ),
inference(avatar_contradiction_clause,[],[f51010]) ).
thf(f51016,plain,
( spl2_715
| ~ spl2_714
| ~ spl2_43
| ~ spl2_710 ),
inference(avatar_split_clause,[],[f50794,f30444,f579,f30499,f30502]) ).
thf(f51017,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_154
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f50755,f11063]) ).
thf(f51019,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_154
| spl2_185
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f51017,f15520]) ).
thf(f51021,plain,
( spl2_508
| spl2_714
| spl2_154
| spl2_185
| spl2_727 ),
inference(avatar_split_clause,[],[f51019,f30869,f11048,f10738,f30499,f18571]) ).
thf(f51024,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_497
| ~ spl2_508 ),
inference(constrained_superposition,[],[f18480,f18572]) ).
thf(f51026,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_502
| ~ spl2_508 ),
inference(constrained_superposition,[],[f18528,f18572]) ).
thf(f51043,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_508
| spl2_513 ),
inference(constrained_superposition,[],[f33721,f18572]) ).
thf(f51044,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_508 ),
inference(constrained_superposition,[],[f193,f18572]) ).
thf(f51051,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_508
| ~ spl2_1044 ),
inference(constrained_superposition,[],[f45822,f18572]) ).
thf(f51052,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_56
| ~ spl2_508 ),
inference(constrained_superposition,[],[f50909,f18572]) ).
thf(f51120,plain,
( $false
| ~ spl2_28
| ~ spl2_508
| spl2_513 ),
inference(forward_subsumption_resolution,[],[f51043,f505]) ).
thf(f51121,plain,
( ~ spl2_28
| ~ spl2_508
| spl2_513 ),
inference(avatar_contradiction_clause,[],[f51120]) ).
thf(f51127,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_28
| ~ spl2_508
| ~ spl2_1044 ),
inference(forward_subsumption_resolution,[],[f51051,f505]) ).
thf(f51128,plain,
( spl2_1045
| ~ spl2_497
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f51024,f18571,f18479,f45848]) ).
thf(f51130,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_56
| spl2_69
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f51052,f1293]) ).
thf(f51131,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_69
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f51044,f1293]) ).
thf(f51132,plain,
( spl2_34
| ~ spl2_502
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f51026,f18571,f18527,f515]) ).
thf(f51133,plain,
( $false
| ~ spl2_28
| spl2_69
| ~ spl2_508
| ~ spl2_1044 ),
inference(forward_subsumption_resolution,[],[f51127,f1293]) ).
thf(f51134,plain,
( ~ spl2_28
| spl2_69
| ~ spl2_508
| ~ spl2_1044 ),
inference(avatar_contradiction_clause,[],[f51133]) ).
thf(f51137,plain,
( ~ spl2_50
| ~ spl2_56
| spl2_69
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f51130,f18571,f1078,f816,f760]) ).
thf(f51138,plain,
( $false
| spl2_31
| spl2_69
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f51131,f463]) ).
thf(f51139,plain,
( spl2_31
| spl2_69
| ~ spl2_508 ),
inference(avatar_contradiction_clause,[],[f51138]) ).
thf(f51172,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_728 ),
inference(constrained_superposition,[],[f93,f46717]) ).
thf(f51174,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f51172]) ).
thf(f51176,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_710
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f51174,f30445]) ).
thf(f51177,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| spl2_166
| ~ spl2_710
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f51176,f15490]) ).
thf(f51178,plain,
( spl2_804
| spl2_166
| ~ spl2_710
| ~ spl2_728 ),
inference(avatar_split_clause,[],[f51177,f30872,f30444,f10836,f33204]) ).
thf(f51181,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_691 ),
inference(constrained_superposition,[],[f363,f30313]) ).
thf(f51190,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_691
| ~ spl2_998 ),
inference(constrained_superposition,[],[f38290,f30313]) ).
thf(f51213,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f51181]) ).
thf(f51214,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_691
| ~ spl2_998 ),
inference(trivial_inequality_removal,[],[f51190]) ).
thf(f51271,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_527
| ~ spl2_694 ),
inference(constrained_superposition,[],[f18783,f30326]) ).
thf(f51276,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_527
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f51271]) ).
thf(f51291,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_787 ),
inference(avatar_component_clause,[],[f32372]) ).
thf(f51292,plain,
( spl2_186
| ~ spl2_787
| ~ spl2_691
| ~ spl2_998 ),
inference(avatar_split_clause,[],[f51214,f38289,f30312,f32372,f11052]) ).
thf(f51294,plain,
( ~ spl2_727
| ~ spl2_527
| ~ spl2_694 ),
inference(avatar_split_clause,[],[f51276,f30325,f18782,f30869]) ).
thf(f51320,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164
| ~ spl2_1044 ),
inference(constrained_superposition,[],[f45822,f10823]) ).
thf(f51346,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164
| ~ spl2_1044 ),
inference(trivial_inequality_removal,[],[f51320]) ).
thf(f51374,plain,
( spl2_699
| spl2_700
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f51213,f30312,f30404,f30401]) ).
thf(f51375,plain,
( spl2_184
| ~ spl2_164
| ~ spl2_1044 ),
inference(avatar_split_clause,[],[f51346,f45821,f10822,f11045]) ).
thf(f51376,plain,
( ~ spl2_540
| spl2_520
| ~ spl2_497 ),
inference(avatar_split_clause,[],[f50938,f18479,f18710,f19287]) ).
thf(f51405,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_80
| ~ spl2_184 ),
inference(constrained_superposition,[],[f1389,f45838]) ).
thf(f51410,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_80
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f51405]) ).
thf(f51414,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_80
| ~ spl2_175
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f51410,f10945]) ).
thf(f51415,plain,
( spl2_204
| ~ spl2_80
| ~ spl2_175
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f51414,f11045,f10944,f1388,f11530]) ).
thf(f51560,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f15729,f194]) ).
thf(f51564,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f51560]) ).
thf(f51574,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_492
| ~ spl2_527 ),
inference(constrained_superposition,[],[f18783,f18384]) ).
thf(f51575,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_492
| ~ spl2_502 ),
inference(constrained_superposition,[],[f18528,f18384]) ).
thf(f51581,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_492
| ~ spl2_502 ),
inference(trivial_inequality_removal,[],[f51575]) ).
thf(f51583,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_492
| ~ spl2_527 ),
inference(trivial_inequality_removal,[],[f51574]) ).
thf(f51584,plain,
( $false
| ~ spl2_175
| ~ spl2_492
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f51581,f10945]) ).
thf(f51585,plain,
( ~ spl2_175
| ~ spl2_492
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f51584]) ).
thf(f51586,plain,
( $false
| ~ spl2_176
| ~ spl2_492
| ~ spl2_527 ),
inference(forward_subsumption_resolution,[],[f51583,f10948]) ).
thf(f51587,plain,
( ~ spl2_176
| ~ spl2_492
| ~ spl2_527 ),
inference(avatar_contradiction_clause,[],[f51586]) ).
thf(f51594,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_186 ),
inference(constrained_superposition,[],[f50311,f14947]) ).
thf(f51599,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f51594]) ).
thf(f51643,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_527
| ~ spl2_1046 ),
inference(constrained_superposition,[],[f18783,f46093]) ).
thf(f51647,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_527
| ~ spl2_1046 ),
inference(trivial_inequality_removal,[],[f51643]) ).
thf(f51653,plain,
( spl2_185
| spl2_154
| spl2_224
| ~ spl2_25
| spl2_22 ),
inference(avatar_split_clause,[],[f38796,f389,f399,f12828,f10738,f11048]) ).
thf(f51656,plain,
( ~ spl2_224
| ~ spl2_527
| ~ spl2_1046 ),
inference(avatar_split_clause,[],[f51647,f46092,f18782,f12828]) ).
thf(f51729,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f57,f10968]) ).
thf(f51760,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f51729]) ).
thf(f51779,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_206 ),
inference(constrained_superposition,[],[f11540,f10956]) ).
thf(f51789,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_178
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f51779]) ).
thf(f51792,plain,
( $false
| ~ spl2_154
| ~ spl2_178
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f51789,f10739]) ).
thf(f51793,plain,
( ~ spl2_154
| ~ spl2_178
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f51792]) ).
thf(f51796,plain,
( spl2_231
| spl2_154
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f51760,f10967,f10738,f12921]) ).
thf(f52051,definition,
( spl2_1058
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1058])],[avatar_definition]) ).
thf(f52052,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_1058 ),
inference(avatar_component_clause,[],[f52051]) ).
thf(f52054,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_206
| ~ spl2_489 ),
inference(constrained_superposition,[],[f11540,f18374]) ).
thf(f52059,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_206
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f52054]) ).
thf(f52061,plain,
( $false
| ~ spl2_206
| ~ spl2_489
| ~ spl2_504 ),
inference(forward_subsumption_resolution,[],[f52059,f18541]) ).
thf(f52062,plain,
( ~ spl2_206
| ~ spl2_489
| ~ spl2_504 ),
inference(avatar_contradiction_clause,[],[f52061]) ).
thf(f52071,plain,
( ( $true != $true )
| ~ spl2_2
| spl2_503 ),
inference(constrained_superposition,[],[f18531,f69]) ).
thf(f52072,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_527 ),
inference(constrained_superposition,[],[f18783,f69]) ).
thf(f52078,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_2
| ~ spl2_527 ),
inference(trivial_inequality_removal,[],[f52072]) ).
thf(f52079,plain,
( $false
| ~ spl2_2
| spl2_503 ),
inference(trivial_inequality_removal,[],[f52071]) ).
thf(f52080,plain,
( ~ spl2_2
| spl2_503 ),
inference(avatar_contradiction_clause,[],[f52079]) ).
thf(f52083,plain,
( $false
| ~ spl2_2
| ~ spl2_527 ),
inference(forward_subsumption_resolution,[],[f52078,f69]) ).
thf(f52084,plain,
( ~ spl2_2
| ~ spl2_527 ),
inference(avatar_contradiction_clause,[],[f52083]) ).
thf(f52085,plain,
( spl2_224
| spl2_73
| spl2_70
| spl2_22 ),
inference(avatar_split_clause,[],[f38802,f389,f1084,f1195,f12828]) ).
thf(f52086,plain,
( ~ spl2_233
| spl2_504
| ~ spl2_497 ),
inference(avatar_split_clause,[],[f50940,f18479,f18540,f12929]) ).
thf(f52090,plain,
( spl2_206
| ~ spl2_192
| ~ spl2_43
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f51599,f11052,f579,f11077,f11539]) ).
thf(f52096,plain,
( ~ spl2_50
| spl2_184
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f51564,f15728,f11045,f760]) ).
thf(f52112,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_70 ),
inference(constrained_superposition,[],[f24,f1085]) ).
thf(f52113,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f52112]) ).
thf(f52134,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166
| ~ spl2_1044 ),
inference(constrained_superposition,[],[f45822,f10837]) ).
thf(f52159,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166
| ~ spl2_1044 ),
inference(trivial_inequality_removal,[],[f52134]) ).
thf(f52175,plain,
( spl2_224
| ~ spl2_166
| ~ spl2_1044 ),
inference(avatar_split_clause,[],[f52159,f45821,f10836,f12828]) ).
thf(f52216,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_504 ),
inference(constrained_superposition,[],[f93,f18541]) ).
thf(f52218,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f52216]) ).
thf(f52228,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_500 ),
inference(constrained_superposition,[],[f50311,f18493]) ).
thf(f52231,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f52228]) ).
thf(f52258,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f52259,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f52258]) ).
thf(f52518,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_693 ),
inference(constrained_superposition,[],[f153,f30323]) ).
thf(f52539,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f52518]) ).
thf(f52556,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_698 ),
inference(constrained_superposition,[],[f638,f30341]) ).
thf(f52584,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_698 ),
inference(trivial_inequality_removal,[],[f52556]) ).
thf(f52603,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_503
| ~ spl2_698 ),
inference(forward_subsumption_resolution,[],[f52584,f18531]) ).
thf(f52609,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_503
| ~ spl2_698
| spl2_702 ),
inference(forward_subsumption_resolution,[],[f52603,f30581]) ).
thf(f52611,plain,
( ~ spl2_786
| spl2_503
| ~ spl2_698
| spl2_702 ),
inference(avatar_split_clause,[],[f52609,f30411,f30340,f18530,f32333]) ).
thf(f52632,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_70
| ~ spl2_700 ),
inference(constrained_superposition,[],[f52113,f30405]) ).
thf(f52633,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_191 ),
inference(constrained_superposition,[],[f52113,f12895]) ).
thf(f52640,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_70
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f52632]) ).
thf(f52643,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f52633]) ).
thf(f52653,plain,
( ~ spl2_185
| spl2_212
| ~ spl2_70
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f52643,f11073,f1084,f11920,f11048]) ).
thf(f52905,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_968 ),
inference(constrained_superposition,[],[f36313,f194]) ).
thf(f52911,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_968 ),
inference(trivial_inequality_removal,[],[f52905]) ).
thf(f52916,definition,
( spl2_1059
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1059])],[avatar_definition]) ).
thf(f52917,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_1059 ),
inference(avatar_component_clause,[],[f52916]) ).
thf(f52918,plain,
( ~ spl2_1059
| spl2_1047
| ~ spl2_968 ),
inference(avatar_split_clause,[],[f52911,f36312,f46541,f52916]) ).
thf(f52919,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1059 ),
inference(constrained_superposition,[],[f52917,f193]) ).
thf(f52925,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1059 ),
inference(trivial_inequality_removal,[],[f52919]) ).
thf(f52929,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_1018 ),
inference(constrained_superposition,[],[f40456,f84]) ).
thf(f52933,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1018 ),
inference(constrained_superposition,[],[f40456,f194]) ).
thf(f52939,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_1018 ),
inference(trivial_inequality_removal,[],[f52933]) ).
thf(f52942,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_1018 ),
inference(trivial_inequality_removal,[],[f52929]) ).
thf(f52946,definition,
( spl2_1060
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1060])],[avatar_definition]) ).
thf(f52947,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_1060 ),
inference(avatar_component_clause,[],[f52946]) ).
thf(f52948,plain,
( ~ spl2_1060
| spl2_1047
| ~ spl2_1018 ),
inference(avatar_split_clause,[],[f52939,f40455,f46541,f52946]) ).
thf(f52949,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_713
| ~ spl2_1018 ),
inference(forward_subsumption_resolution,[],[f52942,f32552]) ).
thf(f52950,plain,
( ~ spl2_776
| spl2_713
| ~ spl2_1018 ),
inference(avatar_split_clause,[],[f52949,f40455,f30476,f31967]) ).
thf(f52953,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f41518,f84]) ).
thf(f52956,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f41518,f194]) ).
thf(f52957,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f41518,f50]) ).
thf(f52961,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f52957]) ).
thf(f52963,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f52953]) ).
thf(f52964,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f52956]) ).
thf(f52965,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_192
| ~ spl2_1025 ),
inference(forward_subsumption_resolution,[],[f52961,f14990]) ).
thf(f52966,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_371
| ~ spl2_1025 ),
inference(forward_subsumption_resolution,[],[f52963,f15796]) ).
thf(f52969,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_192
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f52965,f84]) ).
thf(f52977,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_192
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f52969]) ).
thf(f52981,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| spl2_371
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f52966,f27]) ).
thf(f52982,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_371
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f52966,f51]) ).
thf(f52988,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_371
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f52981]) ).
thf(f52991,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_371
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f52982]) ).
thf(f52995,plain,
( spl2_366
| spl2_371
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f52988,f41517,f14996,f14795]) ).
thf(f52996,plain,
( spl2_368
| spl2_371
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f52991,f41517,f14996,f14803]) ).
thf(f53060,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_221
| ~ spl2_433 ),
inference(constrained_superposition,[],[f16784,f12941]) ).
thf(f53078,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_221
| ~ spl2_433 ),
inference(trivial_inequality_removal,[],[f53060]) ).
thf(f53092,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_221
| ~ spl2_433 ),
inference(forward_subsumption_resolution,[],[f53078,f386]) ).
thf(f53098,plain,
( spl2_183
| ~ spl2_21
| ~ spl2_221
| ~ spl2_433 ),
inference(avatar_split_clause,[],[f53092,f16783,f12810,f385,f11042]) ).
thf(f53101,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_485 ),
inference(constrained_superposition,[],[f18319,f12895]) ).
thf(f53108,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f53101]) ).
thf(f53113,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_191
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f53108,f386]) ).
thf(f53114,plain,
( spl2_211
| ~ spl2_21
| ~ spl2_191
| ~ spl2_485 ),
inference(avatar_split_clause,[],[f53113,f18318,f11073,f385,f11912]) ).
thf(f53133,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f383,f193]) ).
thf(f53141,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f383,f49]) ).
thf(f53152,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f53141]) ).
thf(f53154,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_20 ),
inference(duplicate_literal_removal,[],[f53133]) ).
thf(f53155,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f53154]) ).
thf(f53180,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_221
| ~ spl2_458 ),
inference(constrained_superposition,[],[f16965,f12941]) ).
thf(f53189,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_221
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f53180]) ).
thf(f53193,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_221
| ~ spl2_224
| ~ spl2_458 ),
inference(forward_subsumption_resolution,[],[f53189,f14113]) ).
thf(f53195,plain,
( $false
| ~ spl2_191
| ~ spl2_221
| ~ spl2_224
| ~ spl2_458 ),
inference(forward_subsumption_resolution,[],[f53193,f12895]) ).
thf(f53196,plain,
( ~ spl2_191
| ~ spl2_221
| ~ spl2_224
| ~ spl2_458 ),
inference(avatar_contradiction_clause,[],[f53195]) ).
thf(f53291,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_693
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f44614,f30323]) ).
thf(f53292,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_491
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f44614,f18381]) ).
thf(f53293,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_733
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f44614,f30913]) ).
thf(f53299,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_733
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f53293]) ).
thf(f53302,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_693
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f53291]) ).
thf(f53304,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_491
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f53292]) ).
thf(f53307,definition,
( spl2_1062
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1062])],[avatar_definition]) ).
thf(f53308,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1062 ),
inference(avatar_component_clause,[],[f53307]) ).
thf(f53310,plain,
( spl2_926
| ~ spl2_733
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f53299,f44613,f30912,f33891]) ).
thf(f53312,plain,
( spl2_1018
| ~ spl2_693
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f53302,f44613,f30322,f40455]) ).
thf(f53313,plain,
( spl2_568
| ~ spl2_491
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f53304,f44613,f18380,f20175]) ).
thf(f53314,plain,
( ~ spl2_714
| spl2_715
| ~ spl2_70
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f52640,f30404,f1084,f30502,f30499]) ).
thf(f53316,plain,
( spl2_714
| spl2_506
| ~ spl2_569
| ~ spl2_693 ),
inference(avatar_split_clause,[],[f52539,f30322,f20183,f18548,f30499]) ).
thf(f53337,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_787
| ~ spl2_1044 ),
inference(constrained_superposition,[],[f45822,f32373]) ).
thf(f53365,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_787
| ~ spl2_1044 ),
inference(trivial_inequality_removal,[],[f53337]) ).
thf(f53382,plain,
( spl2_1047
| ~ spl2_787
| ~ spl2_1044 ),
inference(avatar_split_clause,[],[f53365,f45821,f32372,f46541]) ).
thf(f53497,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_175
| ~ spl2_297 ),
inference(constrained_superposition,[],[f12106,f13840]) ).
thf(f53498,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_154
| ~ spl2_297 ),
inference(constrained_superposition,[],[f11063,f13840]) ).
thf(f53502,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_175
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f53497]) ).
thf(f53505,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_154
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f53498]) ).
thf(f53507,plain,
( $false
| spl2_161
| spl2_175
| ~ spl2_297 ),
inference(forward_subsumption_resolution,[],[f53502,f18258]) ).
thf(f53508,plain,
( spl2_161
| spl2_175
| ~ spl2_297 ),
inference(avatar_contradiction_clause,[],[f53507]) ).
thf(f53510,plain,
( $false
| spl2_22
| spl2_154
| ~ spl2_297 ),
inference(forward_subsumption_resolution,[],[f53505,f10844]) ).
thf(f53511,plain,
( spl2_22
| spl2_154
| ~ spl2_297 ),
inference(avatar_contradiction_clause,[],[f53510]) ).
thf(f53584,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_715
| ~ spl2_1047 ),
inference(constrained_superposition,[],[f30503,f46542]) ).
thf(f53594,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_715
| ~ spl2_1047 ),
inference(trivial_inequality_removal,[],[f53584]) ).
thf(f53597,plain,
( $false
| ~ spl2_21
| ~ spl2_715
| ~ spl2_1047 ),
inference(forward_subsumption_resolution,[],[f53594,f386]) ).
thf(f53598,plain,
( ~ spl2_21
| ~ spl2_715
| ~ spl2_1047 ),
inference(avatar_contradiction_clause,[],[f53597]) ).
thf(f53645,plain,
( spl2_520
| spl2_1059 ),
inference(avatar_split_clause,[],[f52925,f52916,f18710]) ).
thf(f53647,plain,
( ~ spl2_503
| spl2_502
| ~ spl2_43
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f52231,f18492,f579,f18527,f18530]) ).
thf(f53655,plain,
( ~ spl2_25
| spl2_26
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f53152,f382,f402,f399]) ).
thf(f53759,definition,
( spl2_1064
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1064])],[avatar_definition]) ).
thf(f53760,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1064 ),
inference(avatar_component_clause,[],[f53759]) ).
thf(f53761,plain,
( spl2_1064
| spl2_184
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f52964,f41517,f11045,f53759]) ).
thf(f53762,plain,
( spl2_37
| spl2_28
| ~ spl2_9
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f49021,f385,f126,f411,f526]) ).
thf(f53850,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f93,f10945]) ).
thf(f53852,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f53850]) ).
thf(f53873,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f93,f15504]) ).
thf(f53875,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f53873]) ).
thf(f53883,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f93,f14947]) ).
thf(f53884,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f24,f14947]) ).
thf(f53885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f53884]) ).
thf(f53887,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f53883]) ).
thf(f54015,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_179
| spl2_192
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f52965,f10964]) ).
thf(f54016,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_179
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f41518,f10964]) ).
thf(f54024,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f161,f10964]) ).
thf(f54030,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f153,f10964]) ).
thf(f54031,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f154,f10964]) ).
thf(f54042,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f54030]) ).
thf(f54047,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_179
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f54016]) ).
thf(f54051,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_179
| spl2_192
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f54015]) ).
thf(f54053,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f54024]) ).
thf(f54054,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f54031]) ).
thf(f54060,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_179
| spl2_185 ),
inference(forward_subsumption_resolution,[],[f54042,f15520]) ).
thf(f54064,plain,
( spl2_370
| ~ spl2_179
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f54047,f41517,f10963,f14949]) ).
thf(f54065,plain,
( ~ spl2_151
| ~ spl2_179
| spl2_192
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f54051,f41517,f11077,f10963,f10722]) ).
thf(f54067,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f54053,f40]) ).
thf(f54068,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| spl2_154
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f54054,f11063]) ).
thf(f54069,plain,
( spl2_219
| ~ spl2_233
| ~ spl2_179
| spl2_185 ),
inference(avatar_split_clause,[],[f54060,f11048,f10963,f12929,f12620]) ).
thf(f54071,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_179
| spl2_192 ),
inference(forward_subsumption_resolution,[],[f54067,f14990]) ).
thf(f54072,plain,
( ~ spl2_233
| spl2_219
| spl2_154
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f54068,f10963,f10738,f12620,f12929]) ).
thf(f54073,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| spl2_154
| ~ spl2_179
| spl2_192 ),
inference(forward_subsumption_resolution,[],[f54071,f11063]) ).
thf(f54074,plain,
( spl2_219
| spl2_154
| ~ spl2_179
| spl2_192 ),
inference(avatar_split_clause,[],[f54073,f11077,f10963,f10738,f12620]) ).
thf(f54075,plain,
( ~ spl2_51
| spl2_371
| spl2_192
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f52977,f41517,f11077,f14996,f764]) ).
thf(f54077,plain,
( spl2_502
| spl2_513
| ~ spl2_43
| ~ spl2_504 ),
inference(avatar_split_clause,[],[f52218,f18540,f579,f18682,f18527]) ).
thf(f54080,plain,
( $false
| ~ spl2_30
| spl2_221 ),
inference(forward_subsumption_resolution,[],[f12811,f460]) ).
thf(f54081,plain,
( ~ spl2_30
| spl2_221 ),
inference(avatar_contradiction_clause,[],[f54080]) ).
thf(f54083,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f53875,f15490]) ).
thf(f54084,plain,
( $false
| ~ spl2_30
| spl2_700 ),
inference(forward_subsumption_resolution,[],[f33857,f460]) ).
thf(f54085,plain,
( ~ spl2_30
| spl2_700 ),
inference(avatar_contradiction_clause,[],[f54084]) ).
thf(f54088,plain,
( ~ spl2_6
| spl2_388
| spl2_164
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f53887,f11052,f10822,f15794,f105]) ).
thf(f54090,plain,
( $false
| ~ spl2_30
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f11074,f460]) ).
thf(f54091,plain,
( ~ spl2_30
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f54090]) ).
thf(f54093,plain,
( spl2_206
| spl2_164
| ~ spl2_43
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f53852,f10944,f579,f10822,f11539]) ).
thf(f54096,plain,
( spl2_472
| ~ spl2_6
| ~ spl2_163
| spl2_166 ),
inference(avatar_split_clause,[],[f54083,f10836,f10818,f105,f17573]) ).
thf(f54101,plain,
( ~ spl2_31
| spl2_30
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f53155,f382,f459,f462]) ).
thf(f54103,definition,
( spl2_1065
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1065])],[avatar_definition]) ).
thf(f54104,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_1065 ),
inference(avatar_component_clause,[],[f54103]) ).
thf(f54105,plain,
( spl2_192
| spl2_1065
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f52961,f41517,f54103,f11077]) ).
thf(f54118,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f195,f18258]) ).
thf(f54119,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f195,f18258]) ).
thf(f54120,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f28415,f18258]) ).
thf(f54121,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f28415,f18258]) ).
thf(f54125,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f2635,f18258]) ).
thf(f54127,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f90,f18258]) ).
thf(f54128,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f3543,f18258]) ).
thf(f54129,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f3543,f18258]) ).
thf(f54133,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f153,f18258]) ).
thf(f54135,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f154,f18258]) ).
thf(f54136,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f85,f18258]) ).
thf(f54137,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_161 ),
inference(extensionality_resolution,[],[f85,f18258]) ).
thf(f54139,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_161 ),
inference(extensionality_resolution,[],[f55,f18258]) ).
thf(f54144,plain,
( spl2_733
| spl2_526
| spl2_161 ),
inference(avatar_split_clause,[],[f54137,f10802,f18751,f30912]) ).
thf(f54145,plain,
( spl2_695
| spl2_696
| spl2_161 ),
inference(avatar_split_clause,[],[f54118,f10802,f30333,f30330]) ).
thf(f54148,plain,
( spl2_549
| spl2_192
| spl2_221
| spl2_161 ),
inference(avatar_split_clause,[],[f54128,f10802,f12810,f11077,f19462]) ).
thf(f54149,plain,
( spl2_264
| spl2_347
| ~ spl2_16
| spl2_161 ),
inference(avatar_split_clause,[],[f54133,f10802,f309,f14104,f13671]) ).
thf(f54150,plain,
( spl2_691
| spl2_692
| spl2_161 ),
inference(avatar_split_clause,[],[f54119,f10802,f30315,f30312]) ).
thf(f54151,plain,
( spl2_620
| spl2_511
| spl2_161 ),
inference(avatar_split_clause,[],[f54136,f10802,f18606,f24940]) ).
thf(f54152,plain,
( ~ spl2_16
| spl2_348
| spl2_264
| spl2_161 ),
inference(avatar_split_clause,[],[f54135,f10802,f13671,f14108,f309]) ).
thf(f54195,plain,
( ( $true != $true )
| ~ spl2_176
| ~ spl2_587 ),
inference(constrained_superposition,[],[f22529,f10948]) ).
thf(f54196,plain,
( ( $true != $true )
| ~ spl2_224
| ~ spl2_587 ),
inference(constrained_superposition,[],[f22529,f14113]) ).
thf(f54201,plain,
( $false
| ~ spl2_176
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f54195]) ).
thf(f54202,plain,
( ~ spl2_176
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f54201]) ).
thf(f54204,plain,
( $false
| ~ spl2_224
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f54196]) ).
thf(f54205,plain,
( ~ spl2_224
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f54204]) ).
thf(f54303,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f638,f18683]) ).
thf(f54308,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f57,f18683]) ).
thf(f54313,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f161,f18683]) ).
thf(f54317,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_513 ),
inference(constrained_superposition,[],[f52259,f18683]) ).
thf(f54327,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f54317]) ).
thf(f54340,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f54303]) ).
thf(f54342,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f54308]) ).
thf(f54343,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f54313]) ).
thf(f54401,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f24,f10956]) ).
thf(f54402,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f54401]) ).
thf(f54426,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_1060 ),
inference(constrained_superposition,[],[f52947,f194]) ).
thf(f54430,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_1060 ),
inference(trivial_inequality_removal,[],[f54426]) ).
thf(f54434,plain,
( spl2_1046
| spl2_1060 ),
inference(avatar_split_clause,[],[f54430,f52946,f46092]) ).
thf(f54448,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_176
| ~ spl2_472 ),
inference(constrained_superposition,[],[f17574,f10948]) ).
thf(f54449,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_472 ),
inference(constrained_superposition,[],[f17574,f14113]) ).
thf(f54456,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_176
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f54448]) ).
thf(f54460,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_224
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f54449]) ).
thf(f54463,plain,
( $false
| ~ spl2_176
| ~ spl2_186
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f54456,f14947]) ).
thf(f54464,plain,
( ~ spl2_176
| ~ spl2_186
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f54463]) ).
thf(f54466,plain,
( $false
| ~ spl2_23
| ~ spl2_224
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f54460,f393]) ).
thf(f54467,plain,
( ~ spl2_23
| ~ spl2_224
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f54466]) ).
thf(f54586,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_1047 ),
inference(constrained_superposition,[],[f44806,f46542]) ).
thf(f54587,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1047 ),
inference(constrained_superposition,[],[f93,f46542]) ).
thf(f54590,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_1047 ),
inference(trivial_inequality_removal,[],[f54586]) ).
thf(f54591,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_1047 ),
inference(trivial_inequality_removal,[],[f54587]) ).
thf(f54593,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_710
| ~ spl2_1047 ),
inference(forward_subsumption_resolution,[],[f54591,f30445]) ).
thf(f54594,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| spl2_28
| ~ spl2_710
| ~ spl2_1047 ),
inference(forward_subsumption_resolution,[],[f54593,f412]) ).
thf(f54595,plain,
( spl2_716
| spl2_28
| ~ spl2_710
| ~ spl2_1047 ),
inference(avatar_split_clause,[],[f54594,f46541,f30444,f411,f30508]) ).
thf(f54619,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_178
| ~ spl2_388 ),
inference(constrained_superposition,[],[f15795,f10956]) ).
thf(f54627,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_178
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f54619]) ).
thf(f54633,plain,
( $false
| ~ spl2_163
| ~ spl2_178
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f54627,f15504]) ).
thf(f54634,plain,
( ~ spl2_163
| ~ spl2_178
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f54633]) ).
thf(f54675,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f93,f18384]) ).
thf(f54676,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f24,f18384]) ).
thf(f54678,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f54676]) ).
thf(f54679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f54675]) ).
thf(f54680,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_727 ),
inference(constrained_superposition,[],[f11913,f37397]) ).
thf(f54681,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_727 ),
inference(constrained_superposition,[],[f93,f37397]) ).
thf(f54684,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_211
| ~ spl2_727 ),
inference(trivial_inequality_removal,[],[f54680]) ).
thf(f54685,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_727 ),
inference(trivial_inequality_removal,[],[f54681]) ).
thf(f54686,plain,
( $false
| ~ spl2_211
| ~ spl2_700
| ~ spl2_727 ),
inference(forward_subsumption_resolution,[],[f54684,f30405]) ).
thf(f54687,plain,
( ~ spl2_211
| ~ spl2_700
| ~ spl2_727 ),
inference(avatar_contradiction_clause,[],[f54686]) ).
thf(f54688,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_727 ),
inference(forward_subsumption_resolution,[],[f54685,f15504]) ).
thf(f54689,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_727
| spl2_787 ),
inference(forward_subsumption_resolution,[],[f54688,f51291]) ).
thf(f54690,plain,
( spl2_804
| ~ spl2_163
| ~ spl2_727
| spl2_787 ),
inference(avatar_split_clause,[],[f54689,f32372,f30869,f10818,f33204]) ).
thf(f54693,plain,
( ~ spl2_702
| spl2_716
| ~ spl2_21
| ~ spl2_1047 ),
inference(avatar_split_clause,[],[f54590,f46541,f385,f30508,f30411]) ).
thf(f54730,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_241 ),
inference(constrained_superposition,[],[f13269,f27]) ).
thf(f54731,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_241 ),
inference(trivial_inequality_removal,[],[f54730]) ).
thf(f54734,plain,
( spl2_371
| spl2_204
| spl2_241 ),
inference(avatar_split_clause,[],[f54731,f13268,f11530,f14996]) ).
thf(f54736,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f24,f14997]) ).
thf(f54737,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f54736]) ).
thf(f54754,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_549 ),
inference(constrained_superposition,[],[f19463,f194]) ).
thf(f54760,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f54754]) ).
thf(f54794,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_1052 ),
inference(constrained_superposition,[],[f49504,f84]) ).
thf(f54799,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_1052 ),
inference(trivial_inequality_removal,[],[f54794]) ).
thf(f54810,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_490
| ~ spl2_1025 ),
inference(constrained_superposition,[],[f41518,f18377]) ).
thf(f54821,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_490
| ~ spl2_998 ),
inference(constrained_superposition,[],[f38290,f18377]) ).
thf(f54834,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_490
| ~ spl2_998 ),
inference(trivial_inequality_removal,[],[f54821]) ).
thf(f54850,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_490
| ~ spl2_1025 ),
inference(trivial_inequality_removal,[],[f54810]) ).
thf(f54856,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_490
| spl2_500
| ~ spl2_998 ),
inference(forward_subsumption_resolution,[],[f54834,f31078]) ).
thf(f54862,plain,
( spl2_568
| ~ spl2_490
| ~ spl2_1025 ),
inference(avatar_split_clause,[],[f54850,f41517,f18376,f20175]) ).
thf(f54897,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_371 ),
inference(constrained_superposition,[],[f11043,f14997]) ).
thf(f54905,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f54897]) ).
thf(f54921,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_490
| ~ spl2_1064 ),
inference(constrained_superposition,[],[f53760,f18377]) ).
thf(f54931,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_490
| ~ spl2_1064 ),
inference(trivial_inequality_removal,[],[f54921]) ).
thf(f54932,plain,
( ~ spl2_1059
| ~ spl2_490
| ~ spl2_1064 ),
inference(avatar_split_clause,[],[f54931,f53759,f18376,f52916]) ).
thf(f54949,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_692 ),
inference(constrained_superposition,[],[f93,f30316]) ).
thf(f54951,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f54949]) ).
thf(f54953,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_692
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f54951,f30445]) ).
thf(f54954,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_490
| spl2_500
| ~ spl2_692
| ~ spl2_710
| ~ spl2_998 ),
inference(forward_subsumption_resolution,[],[f54953,f54856]) ).
thf(f54955,plain,
( spl2_1032
| ~ spl2_490
| spl2_500
| ~ spl2_692
| ~ spl2_710
| ~ spl2_998 ),
inference(avatar_split_clause,[],[f54954,f38289,f30444,f30315,f18492,f18376,f43161]) ).
thf(f54957,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_696 ),
inference(constrained_superposition,[],[f93,f30334]) ).
thf(f54958,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_696 ),
inference(constrained_superposition,[],[f24,f30334]) ).
thf(f54959,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f54957]) ).
thf(f54961,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f54958]) ).
thf(f54962,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_186
| ~ spl2_696 ),
inference(forward_subsumption_resolution,[],[f54959,f14947]) ).
thf(f54969,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f11071,f5028]) ).
thf(f54978,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f54969]) ).
thf(f54982,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_185
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f54978,f11049]) ).
thf(f54986,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| spl2_175
| ~ spl2_185
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f54982,f12106]) ).
thf(f54987,plain,
( spl2_556
| spl2_175
| ~ spl2_185
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f54986,f11070,f11048,f10944,f19708]) ).
thf(f54990,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1062 ),
inference(constrained_superposition,[],[f53308,f84]) ).
thf(f54995,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_1062 ),
inference(trivial_inequality_removal,[],[f54990]) ).
thf(f55014,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_693 ),
inference(constrained_superposition,[],[f383,f30323]) ).
thf(f55035,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f55014]) ).
thf(f55049,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_693
| spl2_700 ),
inference(forward_subsumption_resolution,[],[f55035,f33857]) ).
thf(f55052,plain,
( ~ spl2_1059
| ~ spl2_20
| ~ spl2_693
| spl2_700 ),
inference(avatar_split_clause,[],[f55049,f30404,f30322,f382,f52916]) ).
thf(f55059,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_692
| ~ spl2_719 ),
inference(constrained_superposition,[],[f30573,f30316]) ).
thf(f55060,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_719
| ~ spl2_1047 ),
inference(constrained_superposition,[],[f30573,f46542]) ).
thf(f55068,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_692
| ~ spl2_719 ),
inference(trivial_inequality_removal,[],[f55059]) ).
thf(f55072,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_719
| ~ spl2_1047 ),
inference(trivial_inequality_removal,[],[f55060]) ).
thf(f55074,plain,
( $false
| ~ spl2_186
| ~ spl2_692
| ~ spl2_719 ),
inference(forward_subsumption_resolution,[],[f55068,f14947]) ).
thf(f55075,plain,
( ~ spl2_186
| ~ spl2_692
| ~ spl2_719 ),
inference(avatar_contradiction_clause,[],[f55074]) ).
thf(f55077,plain,
( $false
| ~ spl2_23
| ~ spl2_719
| ~ spl2_1047 ),
inference(forward_subsumption_resolution,[],[f55072,f393]) ).
thf(f55078,plain,
( ~ spl2_23
| ~ spl2_719
| ~ spl2_1047 ),
inference(avatar_contradiction_clause,[],[f55077]) ).
thf(f55091,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_693
| ~ spl2_1062 ),
inference(constrained_superposition,[],[f53308,f30323]) ).
thf(f55111,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_693
| ~ spl2_1062 ),
inference(trivial_inequality_removal,[],[f55091]) ).
thf(f55139,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_693
| ~ spl2_1062 ),
inference(constrained_superposition,[],[f55111,f85]) ).
thf(f55144,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_693
| ~ spl2_1062 ),
inference(trivial_inequality_removal,[],[f55139]) ).
thf(f55148,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_693
| spl2_700
| ~ spl2_1062 ),
inference(forward_subsumption_resolution,[],[f55144,f33857]) ).
thf(f55153,plain,
( $false
| ~ spl2_693
| spl2_700
| ~ spl2_1062 ),
inference(forward_subsumption_resolution,[],[f55148,f40]) ).
thf(f55154,plain,
( ~ spl2_693
| spl2_700
| ~ spl2_1062 ),
inference(avatar_contradiction_clause,[],[f55153]) ).
thf(f55155,plain,
( spl2_501
| ~ spl2_50
| ~ spl2_1062 ),
inference(avatar_split_clause,[],[f54995,f53307,f760,f18508]) ).
thf(f55156,plain,
( ~ spl2_57
| ~ spl2_183
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f54905,f14996,f11042,f819]) ).
thf(f55159,plain,
( ~ spl2_28
| spl2_264
| ~ spl2_1052 ),
inference(avatar_split_clause,[],[f54799,f49503,f13671,f411]) ).
thf(f55160,plain,
( spl2_9
| spl2_564
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f54342,f18682,f20062,f126]) ).
thf(f55161,plain,
( spl2_1032
| spl2_787
| ~ spl2_186
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f54962,f30333,f11052,f32372,f43161]) ).
thf(f55164,plain,
( spl2_264
| spl2_8
| spl2_161 ),
inference(avatar_split_clause,[],[f54139,f10802,f116,f13671]) ).
thf(f55169,plain,
( ~ spl2_233
| spl2_154
| spl2_176
| spl2_185
| spl2_188 ),
inference(avatar_split_clause,[],[f41487,f11060,f11048,f10947,f10738,f12929]) ).
thf(f55170,plain,
( spl2_154
| spl2_176
| spl2_192
| spl2_185
| spl2_188 ),
inference(avatar_split_clause,[],[f41483,f11060,f11048,f11077,f10947,f10738]) ).
thf(f55203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_154 ),
inference(constrained_superposition,[],[f93,f10739]) ).
thf(f55205,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f55203]) ).
thf(f55215,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| spl2_192 ),
inference(constrained_superposition,[],[f14990,f5028]) ).
thf(f55218,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X0 ) )
| spl2_192 ),
inference(trivial_inequality_removal,[],[f55215]) ).
thf(f55240,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_1004 ),
inference(constrained_superposition,[],[f38601,f27]) ).
thf(f55246,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_1004 ),
inference(trivial_inequality_removal,[],[f55240]) ).
thf(f55248,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178
| ~ spl2_189 ),
inference(constrained_superposition,[],[f11067,f10956]) ).
thf(f55252,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f55248]) ).
thf(f55255,plain,
( $false
| ~ spl2_178
| ~ spl2_189 ),
inference(forward_subsumption_resolution,[],[f55252,f40]) ).
thf(f55256,plain,
( ~ spl2_178
| ~ spl2_189 ),
inference(avatar_contradiction_clause,[],[f55255]) ).
thf(f55258,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_178
| ~ spl2_194 ),
inference(constrained_superposition,[],[f11088,f10956]) ).
thf(f55260,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_154
| ~ spl2_194 ),
inference(constrained_superposition,[],[f11088,f10739]) ).
thf(f55264,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_154
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f55260]) ).
thf(f55266,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_178
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f55258]) ).
thf(f55268,plain,
( $false
| ~ spl2_154
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f55264,f40]) ).
thf(f55269,plain,
( ~ spl2_154
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f55268]) ).
thf(f55271,plain,
( spl2_204
| ~ spl2_178
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f55266,f11087,f10955,f11530]) ).
thf(f55273,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_224 ),
inference(constrained_superposition,[],[f44806,f14113]) ).
thf(f55275,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f24,f14113]) ).
thf(f55276,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f55273]) ).
thf(f55277,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f55275]) ).
thf(f55279,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_154
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f55276,f10739]) ).
thf(f55281,plain,
( spl2_211
| ~ spl2_21
| ~ spl2_154
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f55279,f12828,f10738,f385,f11912]) ).
thf(f55285,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f24,f12895]) ).
thf(f55286,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f55285]) ).
thf(f55312,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_702 ),
inference(constrained_superposition,[],[f24,f30412]) ).
thf(f55313,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_702 ),
inference(trivial_inequality_removal,[],[f55312]) ).
thf(f55337,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_1052 ),
inference(constrained_superposition,[],[f49504,f10968]) ).
thf(f55345,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f161,f10968]) ).
thf(f55346,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f3543,f10968]) ).
thf(f55347,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_180 ),
inference(constrained_superposition,[],[f383,f10968]) ).
thf(f55365,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f55347]) ).
thf(f55368,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f55346]) ).
thf(f55369,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_1052 ),
inference(trivial_inequality_removal,[],[f55337]) ).
thf(f55371,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f55345]) ).
thf(f55383,plain,
( ~ spl2_540
| ~ spl2_180
| ~ spl2_1052 ),
inference(avatar_split_clause,[],[f55369,f49503,f10967,f19287]) ).
thf(f55384,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f55371,f40]) ).
thf(f55423,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f153,f24941]) ).
thf(f55446,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f55423]) ).
thf(f55453,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_700 ),
inference(constrained_superposition,[],[f93,f30405]) ).
thf(f55454,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_700 ),
inference(constrained_superposition,[],[f24,f30405]) ).
thf(f55455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f55454]) ).
thf(f55456,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f55453]) ).
thf(f55460,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_526 ),
inference(constrained_superposition,[],[f24,f18752]) ).
thf(f55462,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f55460]) ).
thf(f55471,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f11913,f3253]) ).
thf(f55474,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f55471]) ).
thf(f55483,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f117,f50]) ).
thf(f55486,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f55483]) ).
thf(f55489,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_489 ),
inference(constrained_superposition,[],[f24,f18374]) ).
thf(f55490,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f55489]) ).
thf(f55539,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_564 ),
inference(constrained_superposition,[],[f20063,f193]) ).
thf(f55544,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_564 ),
inference(constrained_superposition,[],[f20063,f49]) ).
thf(f55550,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f55544]) ).
thf(f55552,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f55539]) ).
thf(f55651,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_694 ),
inference(constrained_superposition,[],[f24,f30326]) ).
thf(f55653,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f55651]) ).
thf(f55729,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_713
| ~ spl2_716 ),
inference(constrained_superposition,[],[f30509,f30477]) ).
thf(f55736,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_713
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f55729]) ).
thf(f55739,plain,
( $false
| ~ spl2_57
| ~ spl2_713
| ~ spl2_716 ),
inference(forward_subsumption_resolution,[],[f55736,f820]) ).
thf(f55740,plain,
( ~ spl2_57
| ~ spl2_713
| ~ spl2_716 ),
inference(avatar_contradiction_clause,[],[f55739]) ).
thf(f55743,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_175
| ~ spl2_198 ),
inference(constrained_superposition,[],[f12106,f11112]) ).
thf(f55749,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_175
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f55743]) ).
thf(f55751,plain,
( $false
| spl2_22
| spl2_175
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f55749,f10844]) ).
thf(f55752,plain,
( spl2_22
| spl2_175
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f55751]) ).
thf(f55964,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_485
| ~ spl2_526 ),
inference(constrained_superposition,[],[f18319,f18752]) ).
thf(f55967,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_485 ),
inference(constrained_superposition,[],[f18319,f83]) ).
thf(f55972,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_485
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f55964]) ).
thf(f55975,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_485 ),
inference(trivial_inequality_removal,[],[f55967]) ).
thf(f55979,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_371
| ~ spl2_696 ),
inference(constrained_superposition,[],[f54737,f30334]) ).
thf(f55980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_371
| ~ spl2_489 ),
inference(constrained_superposition,[],[f54737,f18374]) ).
thf(f55992,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_371
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f55980]) ).
thf(f55993,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_371
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f55979]) ).
thf(f56004,plain,
( spl2_509
| ~ spl2_501
| ~ spl2_371
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f55992,f18373,f14996,f18508,f18576]) ).
thf(f56005,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_501 ),
inference(constrained_superposition,[],[f18942,f28415]) ).
thf(f56007,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| spl2_501 ),
inference(trivial_inequality_removal,[],[f56005]) ).
thf(f56025,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f44614,f84]) ).
thf(f56028,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f44614,f194]) ).
thf(f56029,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f44614,f50]) ).
thf(f56030,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f56028]) ).
thf(f56034,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f56029]) ).
thf(f56036,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f56025]) ).
thf(f56037,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_501
| ~ spl2_1040 ),
inference(forward_subsumption_resolution,[],[f56036,f18942]) ).
thf(f56038,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| spl2_501
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f56037,f27]) ).
thf(f56043,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| spl2_501
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f56037,f194]) ).
thf(f56044,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| spl2_501
| ~ spl2_1040 ),
inference(constrained_superposition,[],[f56037,f50]) ).
thf(f56047,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_501
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f56043]) ).
thf(f56050,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_501
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f56044]) ).
thf(f56051,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_501
| ~ spl2_1040 ),
inference(trivial_inequality_removal,[],[f56038]) ).
thf(f56053,plain,
( spl2_566
| spl2_501
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f56051,f44613,f18508,f20070]) ).
thf(f56077,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( X1 = X2 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f55277,f3253]) ).
thf(f56083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f56077]) ).
thf(f56085,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( X1 = X2 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true ) )
| ~ spl2_21
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f56083,f386]) ).
thf(f56090,plain,
( spl2_34
| spl2_551
| ~ spl2_21
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f56085,f12828,f385,f19472,f515]) ).
thf(f56101,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_526 ),
inference(constrained_superposition,[],[f55286,f18752]) ).
thf(f56103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_191 ),
inference(constrained_superposition,[],[f55286,f15504]) ).
thf(f56104,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f55286,f83]) ).
thf(f56106,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_154
| ~ spl2_191 ),
inference(constrained_superposition,[],[f55286,f10739]) ).
thf(f56110,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f56104]) ).
thf(f56111,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_154
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f56106]) ).
thf(f56112,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f56101]) ).
thf(f56115,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f56103]) ).
thf(f56121,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_57
| ~ spl2_163
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f56115,f820]) ).
thf(f56125,plain,
( spl2_472
| ~ spl2_57
| ~ spl2_163
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f56121,f11073,f10818,f819,f17573]) ).
thf(f56144,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_472 ),
inference(constrained_superposition,[],[f17574,f3253]) ).
thf(f56147,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f56144]) ).
thf(f56204,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_186
| ~ spl2_696 ),
inference(constrained_superposition,[],[f53885,f30334]) ).
thf(f56213,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_186
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f56204]) ).
thf(f56275,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_186
| ~ spl2_696
| ~ spl2_700 ),
inference(constrained_superposition,[],[f56213,f30405]) ).
thf(f56281,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_186
| ~ spl2_696
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f56275]) ).
thf(f56291,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_696 ),
inference(constrained_superposition,[],[f54402,f30334]) ).
thf(f56299,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f56291]) ).
thf(f56323,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_492
| ~ spl2_526 ),
inference(constrained_superposition,[],[f55462,f18384]) ).
thf(f56324,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_526
| ~ spl2_694 ),
inference(constrained_superposition,[],[f55462,f30326]) ).
thf(f56333,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_526
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f56324]) ).
thf(f56335,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_492
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f56323]) ).
thf(f56366,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_694
| ~ spl2_702 ),
inference(constrained_superposition,[],[f55313,f30326]) ).
thf(f56375,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_694
| ~ spl2_702 ),
inference(trivial_inequality_removal,[],[f56366]) ).
thf(f56381,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_504
| ~ spl2_694
| ~ spl2_702 ),
inference(forward_subsumption_resolution,[],[f56375,f18541]) ).
thf(f56382,plain,
( spl2_792
| ~ spl2_504
| ~ spl2_694
| ~ spl2_702 ),
inference(avatar_split_clause,[],[f56381,f30411,f30325,f18540,f32558]) ).
thf(f56395,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_492
| ~ spl2_694 ),
inference(constrained_superposition,[],[f54678,f30326]) ).
thf(f56402,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_492
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f56395]) ).
thf(f56436,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_489 ),
inference(constrained_superposition,[],[f55490,f83]) ).
thf(f56440,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f56436]) ).
thf(f56447,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_696
| ~ spl2_700 ),
inference(constrained_superposition,[],[f55455,f30334]) ).
thf(f56448,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_694
| ~ spl2_700 ),
inference(constrained_superposition,[],[f55455,f30326]) ).
thf(f56451,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_700 ),
inference(constrained_superposition,[],[f55455,f83]) ).
thf(f56453,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_700
| ~ spl2_702 ),
inference(constrained_superposition,[],[f55455,f30412]) ).
thf(f56455,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_694
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f56448]) ).
thf(f56459,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_700
| ~ spl2_702 ),
inference(trivial_inequality_removal,[],[f56453]) ).
thf(f56460,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_696
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f56447]) ).
thf(f56463,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f56451]) ).
thf(f56466,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_70
| ~ spl2_700
| ~ spl2_702 ),
inference(forward_subsumption_resolution,[],[f56459,f1085]) ).
thf(f56468,plain,
( spl2_715
| ~ spl2_70
| ~ spl2_700
| ~ spl2_702 ),
inference(avatar_split_clause,[],[f56466,f30411,f30404,f1084,f30502]) ).
thf(f56481,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_696
| ~ spl2_700 ),
inference(constrained_superposition,[],[f54961,f30405]) ).
thf(f56483,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_696 ),
inference(constrained_superposition,[],[f54961,f83]) ).
thf(f56489,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_696
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f56481]) ).
thf(f56493,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f56483]) ).
thf(f56498,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_694
| ~ spl2_696 ),
inference(constrained_superposition,[],[f55653,f30334]) ).
thf(f56500,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_694
| ~ spl2_700 ),
inference(constrained_superposition,[],[f55653,f30405]) ).
thf(f56509,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_694
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f56500]) ).
thf(f56514,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_694
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f56498]) ).
thf(f56516,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_175
| ~ spl2_197 ),
inference(constrained_superposition,[],[f12106,f11106]) ).
thf(f56552,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_175
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f56516]) ).
thf(f56554,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_175
| spl2_188
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f56552,f18255]) ).
thf(f56555,plain,
( $false
| spl2_175
| spl2_188
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f56554,f40]) ).
thf(f56556,plain,
( spl2_175
| spl2_188
| ~ spl2_197 ),
inference(avatar_contradiction_clause,[],[f56555]) ).
thf(f56624,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_1004 ),
inference(constrained_superposition,[],[f55246,f27]) ).
thf(f56625,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_1004 ),
inference(trivial_inequality_removal,[],[f56624]) ).
thf(f56627,plain,
( spl2_1013
| ~ spl2_1004 ),
inference(avatar_split_clause,[],[f56625,f38600,f39234]) ).
thf(f57250,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_164 ),
inference(avatar_component_clause,[],[f10822]) ).
thf(f57355,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_264
| ~ spl2_353 ),
inference(constrained_superposition,[],[f19740,f14223]) ).
thf(f57357,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_43
| ~ spl2_353 ),
inference(constrained_superposition,[],[f580,f14223]) ).
thf(f57359,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_192
| ~ spl2_353 ),
inference(constrained_superposition,[],[f14990,f14223]) ).
thf(f57377,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_175
| ~ spl2_353 ),
inference(constrained_superposition,[],[f12106,f14223]) ).
thf(f57378,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_9
| ~ spl2_353 ),
inference(constrained_superposition,[],[f127,f14223]) ).
thf(f57379,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_9
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f57378]) ).
thf(f57387,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_43
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f57357]) ).
thf(f57405,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_264
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f57355]) ).
thf(f57427,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_175
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f57377]) ).
thf(f57428,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_192
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f57359]) ).
thf(f57430,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_9
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57379,f48]) ).
thf(f57456,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_43
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57387,f48]) ).
thf(f57494,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_264
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57405,f48]) ).
thf(f57554,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_175
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57427,f40]) ).
thf(f57555,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_192
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57428,f40]) ).
thf(f57560,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| spl2_9
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57430,f40]) ).
thf(f57562,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_43
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57456,f40]) ).
thf(f57566,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_22
| spl2_264
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57494,f10844]) ).
thf(f57572,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_175
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57554,f40]) ).
thf(f57573,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_192
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57555,f40]) ).
thf(f57574,plain,
( $false
| spl2_9
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57560,f40]) ).
thf(f57575,plain,
( spl2_9
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f57574]) ).
thf(f57578,plain,
( $false
| spl2_43
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57562,f40]) ).
thf(f57579,plain,
( spl2_43
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f57578]) ).
thf(f57582,plain,
( $false
| spl2_22
| spl2_161
| spl2_264
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f57566,f18258]) ).
thf(f57583,plain,
( spl2_22
| spl2_161
| spl2_264
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f57582]) ).
thf(f57584,plain,
( spl2_205
| spl2_175
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f57572,f14222,f10944,f11533]) ).
thf(f57585,plain,
( spl2_205
| spl2_192
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f57573,f14222,f11077,f11533]) ).
thf(f57892,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_175
| ~ spl2_195 ),
inference(constrained_superposition,[],[f12106,f11094]) ).
thf(f58125,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_175
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f57892,f40]) ).
thf(f58183,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_154
| spl2_175
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f58125,f10739]) ).
thf(f58243,plain,
( $false
| ~ spl2_154
| spl2_175
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f58183,f12106]) ).
thf(f58244,plain,
( ~ spl2_154
| spl2_175
| ~ spl2_195 ),
inference(avatar_contradiction_clause,[],[f58243]) ).
thf(f58380,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_9
| ~ spl2_836 ),
inference(constrained_superposition,[],[f127,f33398]) ).
thf(f58413,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_9
| ~ spl2_836 ),
inference(trivial_inequality_removal,[],[f58380]) ).
thf(f58414,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_9
| ~ spl2_836 ),
inference(forward_subsumption_resolution,[],[f58413,f40]) ).
thf(f58415,plain,
( $false
| spl2_9
| ~ spl2_836 ),
inference(forward_subsumption_resolution,[],[f58414,f40]) ).
thf(f58416,plain,
( spl2_9
| ~ spl2_836 ),
inference(avatar_contradiction_clause,[],[f58415]) ).
thf(f58465,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_700
| ~ spl2_757 ),
inference(constrained_superposition,[],[f31105,f30405]) ).
thf(f58468,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_700
| ~ spl2_757 ),
inference(trivial_inequality_removal,[],[f58465]) ).
thf(f58471,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_700
| ~ spl2_757 ),
inference(forward_subsumption_resolution,[],[f58468,f40]) ).
thf(f58476,plain,
( spl2_508
| ~ spl2_700
| ~ spl2_757 ),
inference(avatar_split_clause,[],[f58471,f31104,f30404,f18571]) ).
thf(f58477,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_58
| spl2_500 ),
inference(constrained_superposition,[],[f31078,f825]) ).
thf(f58493,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_58
| ~ spl2_696 ),
inference(constrained_superposition,[],[f54961,f825]) ).
thf(f58494,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_58
| ~ spl2_700 ),
inference(constrained_superposition,[],[f55455,f825]) ).
thf(f58504,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_58
| ~ spl2_700 ),
inference(trivial_inequality_removal,[],[f58494]) ).
thf(f58506,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_58
| ~ spl2_696 ),
inference(trivial_inequality_removal,[],[f58493]) ).
thf(f58512,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_58
| spl2_500 ),
inference(trivial_inequality_removal,[],[f58477]) ).
thf(f58527,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_1013 ),
inference(constrained_superposition,[],[f55286,f39235]) ).
thf(f58535,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_489
| ~ spl2_1013 ),
inference(constrained_superposition,[],[f55490,f39235]) ).
thf(f58540,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_696
| ~ spl2_1013 ),
inference(constrained_superposition,[],[f54961,f39235]) ).
thf(f58541,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_700
| ~ spl2_1013 ),
inference(constrained_superposition,[],[f55455,f39235]) ).
thf(f58549,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_1013 ),
inference(trivial_inequality_removal,[],[f58527]) ).
thf(f58550,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_700
| ~ spl2_1013 ),
inference(trivial_inequality_removal,[],[f58541]) ).
thf(f58552,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_489
| ~ spl2_1013 ),
inference(trivial_inequality_removal,[],[f58535]) ).
thf(f58553,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 ) )
| ~ spl2_696
| ~ spl2_1013 ),
inference(trivial_inequality_removal,[],[f58540]) ).
thf(f58943,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_205 ),
inference(avatar_component_clause,[],[f11533]) ).
thf(f58948,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ sK1 ) )
| spl2_204 ),
inference(avatar_component_clause,[],[f11530]) ).
thf(f59130,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_204 ),
inference(extensionality_resolution,[],[f85,f58948]) ).
thf(f59131,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_204 ),
inference(extensionality_resolution,[],[f85,f58948]) ).
thf(f59145,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_204
| spl2_728 ),
inference(forward_subsumption_resolution,[],[f59131,f30873]) ).
thf(f59146,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_204
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f59130,f30870]) ).
thf(f59168,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f153,f58943]) ).
thf(f59170,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f154,f58943]) ).
thf(f59197,definition,
( spl2_1136
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1136])],[avatar_definition]) ).
thf(f59198,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1136 ),
inference(avatar_component_clause,[],[f59197]) ).
thf(f59201,definition,
( spl2_1137
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1137])],[avatar_definition]) ).
thf(f59202,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_1137 ),
inference(avatar_component_clause,[],[f59201]) ).
thf(f59221,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| spl2_204
| spl2_728 ),
inference(constrained_superposition,[],[f26,f59145]) ).
thf(f59230,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_204
| spl2_728 ),
inference(trivial_inequality_removal,[],[f59221]) ).
thf(f59251,plain,
( spl2_544
| spl2_204
| spl2_728 ),
inference(avatar_split_clause,[],[f59230,f30872,f11530,f19348]) ).
thf(f59261,definition,
( spl2_1141
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1141])],[avatar_definition]) ).
thf(f59262,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_1141 ),
inference(avatar_component_clause,[],[f59261]) ).
thf(f59268,definition,
( spl2_1142
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1142])],[avatar_definition]) ).
thf(f59269,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_1142 ),
inference(avatar_component_clause,[],[f59268]) ).
thf(f59271,plain,
( spl2_804
| ~ spl2_728
| ~ spl2_178
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f56299,f30333,f10955,f30872,f33204]) ).
thf(f59272,plain,
( spl2_804
| ~ spl2_728
| ~ spl2_526
| ~ spl2_694 ),
inference(avatar_split_clause,[],[f56333,f30325,f18751,f30872,f33204]) ).
thf(f59282,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true ) )
| spl2_204
| spl2_727 ),
inference(constrained_superposition,[],[f161,f59146]) ).
thf(f59289,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| spl2_204
| spl2_727 ),
inference(constrained_superposition,[],[f153,f59146]) ).
thf(f59290,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| spl2_204
| spl2_727 ),
inference(constrained_superposition,[],[f154,f59146]) ).
thf(f59295,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| spl2_204
| spl2_727 ),
inference(trivial_inequality_removal,[],[f59289]) ).
thf(f59299,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| spl2_204
| spl2_727 ),
inference(trivial_inequality_removal,[],[f59282]) ).
thf(f59314,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| spl2_204
| spl2_727 ),
inference(trivial_inequality_removal,[],[f59290]) ).
thf(f59317,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_204
| spl2_714
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f59295,f30500]) ).
thf(f59319,definition,
( spl2_1143
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1143])],[avatar_definition]) ).
thf(f59320,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_1143 ),
inference(avatar_component_clause,[],[f59319]) ).
thf(f59335,plain,
( spl2_226
| ~ spl2_234
| spl2_204
| spl2_714
| spl2_727 ),
inference(avatar_split_clause,[],[f59317,f30869,f30499,f11530,f12935,f12901]) ).
thf(f59345,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_715
| ~ spl2_728 ),
inference(constrained_superposition,[],[f30503,f46717]) ).
thf(f59346,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_728
| ~ spl2_792 ),
inference(constrained_superposition,[],[f32559,f46717]) ).
thf(f59347,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_728
| ~ spl2_1032 ),
inference(constrained_superposition,[],[f43162,f46717]) ).
thf(f59348,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_716
| ~ spl2_728 ),
inference(constrained_superposition,[],[f30509,f46717]) ).
thf(f59349,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_719
| ~ spl2_728 ),
inference(constrained_superposition,[],[f30573,f46717]) ).
thf(f59350,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_191
| ~ spl2_728 ),
inference(constrained_superposition,[],[f55286,f46717]) ).
thf(f59351,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_261
| ~ spl2_728 ),
inference(constrained_superposition,[],[f13608,f46717]) ).
thf(f59352,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_485
| ~ spl2_728 ),
inference(constrained_superposition,[],[f18319,f46717]) ).
thf(f59354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_728 ),
inference(constrained_superposition,[],[f93,f46717]) ).
thf(f59356,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_261
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59351]) ).
thf(f59357,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_485
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59352]) ).
thf(f59359,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_719
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59349]) ).
thf(f59360,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_715
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59345]) ).
thf(f59361,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_716
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59348]) ).
thf(f59363,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59350]) ).
thf(f59364,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f59354]) ).
thf(f59365,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_728
| ~ spl2_1032 ),
inference(trivial_inequality_removal,[],[f59347]) ).
thf(f59366,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_728
| ~ spl2_792 ),
inference(trivial_inequality_removal,[],[f59346]) ).
thf(f59370,plain,
( $false
| ~ spl2_163
| ~ spl2_719
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f59359,f15504]) ).
thf(f59371,plain,
( ~ spl2_163
| ~ spl2_719
| ~ spl2_728 ),
inference(avatar_contradiction_clause,[],[f59370]) ).
thf(f59372,plain,
( $false
| ~ spl2_154
| ~ spl2_715
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f59360,f10739]) ).
thf(f59373,plain,
( ~ spl2_154
| ~ spl2_715
| ~ spl2_728 ),
inference(avatar_contradiction_clause,[],[f59372]) ).
thf(f59374,plain,
( $false
| ~ spl2_191
| ~ spl2_716
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f59361,f12895]) ).
thf(f59375,plain,
( ~ spl2_191
| ~ spl2_716
| ~ spl2_728 ),
inference(avatar_contradiction_clause,[],[f59374]) ).
thf(f59376,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_700
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f59363,f30405]) ).
thf(f59378,plain,
( $false
| ~ spl2_178
| ~ spl2_728
| ~ spl2_1032 ),
inference(forward_subsumption_resolution,[],[f59365,f10956]) ).
thf(f59379,plain,
( ~ spl2_178
| ~ spl2_728
| ~ spl2_1032 ),
inference(avatar_contradiction_clause,[],[f59378]) ).
thf(f59380,plain,
( $false
| ~ spl2_526
| ~ spl2_728
| ~ spl2_792 ),
inference(forward_subsumption_resolution,[],[f59366,f18752]) ).
thf(f59381,plain,
( ~ spl2_526
| ~ spl2_728
| ~ spl2_792 ),
inference(avatar_contradiction_clause,[],[f59380]) ).
thf(f59384,plain,
( spl2_804
| ~ spl2_191
| ~ spl2_700
| ~ spl2_728 ),
inference(avatar_split_clause,[],[f59376,f30872,f30404,f11073,f33204]) ).
thf(f59398,plain,
( ~ spl2_713
| spl2_719
| ~ spl2_371
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f55993,f30333,f14996,f30572,f30476]) ).
thf(f59399,plain,
( spl2_504
| ~ spl2_51
| ~ spl2_1
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f54327,f18682,f65,f764,f18540]) ).
thf(f59400,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_371
| ~ spl2_696
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f58553,f14997]) ).
thf(f59401,plain,
( spl2_221
| ~ spl2_233
| spl2_1137
| spl2_205 ),
inference(avatar_split_clause,[],[f59168,f11533,f59201,f12929,f12810]) ).
thf(f59402,plain,
( ~ spl2_16
| spl2_503
| spl2_501
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f56050,f44613,f18508,f18530,f309]) ).
thf(f59405,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_1046 ),
inference(avatar_component_clause,[],[f46092]) ).
thf(f59406,plain,
( ~ spl2_1046
| spl2_716
| ~ spl2_694
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f56509,f30404,f30325,f30508,f46092]) ).
thf(f59408,definition,
( spl2_1149
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1149])],[avatar_definition]) ).
thf(f59409,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_1149 ),
inference(avatar_component_clause,[],[f59408]) ).
thf(f59410,plain,
( spl2_503
| spl2_1149
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f56034,f44613,f59408,f18530]) ).
thf(f59413,plain,
( spl2_1046
| ~ spl2_28
| spl2_501
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f56047,f44613,f18508,f411,f46092]) ).
thf(f59418,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_166
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f59364,f15490]) ).
thf(f59419,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_371
| ~ spl2_696 ),
inference(forward_subsumption_resolution,[],[f56493,f14997]) ).
thf(f59420,plain,
( spl2_787
| spl2_716
| ~ spl2_23
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f55456,f30404,f392,f30508,f32372]) ).
thf(f59422,plain,
( ~ spl2_235
| spl2_221
| ~ spl2_20
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f55365,f10967,f382,f12810,f12939]) ).
thf(f59424,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_1047 ),
inference(avatar_component_clause,[],[f46541]) ).
thf(f59427,plain,
( ~ spl2_16
| spl2_504
| ~ spl2_564 ),
inference(avatar_split_clause,[],[f55550,f20062,f18540,f309]) ).
thf(f59430,plain,
( spl2_1004
| spl2_43
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f55486,f116,f579,f38600]) ).
thf(f59437,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_501 ),
inference(forward_subsumption_resolution,[],[f56007,f40]) ).
thf(f59438,plain,
( spl2_1062
| spl2_1046
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f56030,f44613,f46092,f53307]) ).
thf(f59440,plain,
( ~ spl2_234
| spl2_702
| spl2_226
| spl2_204
| spl2_727 ),
inference(avatar_split_clause,[],[f59314,f30869,f11530,f12901,f30411,f12935]) ).
thf(f59441,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f54343,f40]) ).
thf(f59442,plain,
( spl2_226
| ~ spl2_234
| spl2_503
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f55446,f24940,f18530,f12935,f12901]) ).
thf(f59443,plain,
( ~ spl2_43
| spl2_551
| ~ spl2_472 ),
inference(avatar_split_clause,[],[f56147,f17573,f19472,f579]) ).
thf(f59444,plain,
( ~ spl2_57
| spl2_787
| spl2_719
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f56463,f30404,f30572,f32372,f819]) ).
thf(f59447,plain,
( ~ spl2_692
| spl2_1032
| ~ spl2_492
| ~ spl2_694 ),
inference(avatar_split_clause,[],[f56402,f30325,f18383,f43161,f30315]) ).
thf(f59449,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| spl2_185
| spl2_204
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f59299,f15520]) ).
thf(f59451,definition,
( spl2_1150
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1150])],[avatar_definition]) ).
thf(f59452,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_1150 ),
inference(avatar_component_clause,[],[f59451]) ).
thf(f59454,plain,
( spl2_792
| ~ spl2_520
| ~ spl2_694
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f56455,f30404,f30325,f18710,f32558]) ).
thf(f59455,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_700
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f58550,f40]) ).
thf(f59460,plain,
( ~ spl2_710
| spl2_804
| ~ spl2_261
| ~ spl2_728 ),
inference(avatar_split_clause,[],[f59356,f30872,f13607,f33204,f30444]) ).
thf(f59461,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_58
| spl2_500 ),
inference(forward_subsumption_resolution,[],[f58512,f40]) ).
thf(f59462,plain,
( spl2_716
| ~ spl2_184
| ~ spl2_696
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f56489,f30404,f30333,f11045,f30508]) ).
thf(f59464,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_492
| ~ spl2_694
| ~ spl2_696 ),
inference(forward_subsumption_resolution,[],[f56514,f18384]) ).
thf(f59466,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_58
| ~ spl2_700 ),
inference(forward_subsumption_resolution,[],[f58504,f40]) ).
thf(f59468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_489
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f58552,f40]) ).
thf(f59469,plain,
( ~ spl2_702
| spl2_804
| ~ spl2_485
| ~ spl2_728 ),
inference(avatar_split_clause,[],[f59357,f30872,f18318,f33204,f30411]) ).
thf(f59470,plain,
( ~ spl2_221
| ~ spl2_23
| ~ spl2_186
| ~ spl2_696
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f56281,f30404,f30333,f11052,f392,f12810]) ).
thf(f59471,plain,
( spl2_503
| spl2_9
| ~ spl2_16
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f54340,f18682,f309,f126,f18530]) ).
thf(f59472,plain,
( spl2_520
| ~ spl2_28
| ~ spl2_564 ),
inference(avatar_split_clause,[],[f55552,f20062,f411,f18710]) ).
thf(f59473,plain,
( spl2_1032
| ~ spl2_221
| ~ spl2_696
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f56460,f30404,f30333,f12810,f43161]) ).
thf(f59477,plain,
( spl2_1136
| spl2_221
| ~ spl2_233
| spl2_205 ),
inference(avatar_split_clause,[],[f59170,f11533,f12929,f12810,f59197]) ).
thf(f59483,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 ) )
| ~ spl2_58
| ~ spl2_371
| ~ spl2_696 ),
inference(forward_subsumption_resolution,[],[f58506,f14997]) ).
thf(f59488,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_371
| ~ spl2_696
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f59400,f40]) ).
thf(f59492,plain,
( spl2_804
| ~ spl2_710
| spl2_166
| ~ spl2_728 ),
inference(avatar_split_clause,[],[f59418,f30872,f10836,f30444,f33204]) ).
thf(f59493,plain,
( spl2_719
| spl2_787
| ~ spl2_371
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f59419,f30333,f14996,f32372,f30572]) ).
thf(f59498,plain,
( spl2_503
| spl2_43
| spl2_504
| spl2_501 ),
inference(avatar_split_clause,[],[f59437,f18508,f18540,f579,f18530]) ).
thf(f59499,plain,
( spl2_504
| spl2_43
| spl2_15
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f59441,f18682,f283,f579,f18540]) ).
thf(f59501,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| spl2_185
| spl2_204
| spl2_727 ),
inference(forward_subsumption_resolution,[],[f59449,f40]) ).
thf(f59502,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_700
| spl2_714
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f59455,f30500]) ).
thf(f59503,plain,
( spl2_504
| spl2_499
| ~ spl2_58
| spl2_500 ),
inference(avatar_split_clause,[],[f59461,f18492,f824,f18489,f18540]) ).
thf(f59504,plain,
( spl2_1032
| ~ spl2_492
| ~ spl2_694
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f59464,f30333,f30325,f18383,f43161]) ).
thf(f59509,plain,
( ~ spl2_57
| spl2_702
| spl2_719
| spl2_712
| ~ spl2_58
| ~ spl2_700 ),
inference(avatar_split_clause,[],[f59466,f30404,f824,f30455,f30572,f30411,f819]) ).
thf(f59510,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_489
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f59468,f14997]) ).
thf(f59512,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_58
| ~ spl2_371
| ~ spl2_696 ),
inference(forward_subsumption_resolution,[],[f59483,f40]) ).
thf(f59516,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_371
| ~ spl2_696
| spl2_714
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f59488,f30500]) ).
thf(f59518,plain,
( spl2_702
| spl2_226
| spl2_185
| spl2_204
| spl2_727 ),
inference(avatar_split_clause,[],[f59501,f30869,f11530,f11048,f12901,f30411]) ).
thf(f59519,plain,
( spl2_719
| spl2_712
| ~ spl2_57
| ~ spl2_700
| spl2_714
| ~ spl2_1013 ),
inference(avatar_split_clause,[],[f59502,f39234,f30499,f30404,f819,f30455,f30572]) ).
thf(f59520,plain,
( spl2_503
| spl2_499
| spl2_509
| ~ spl2_371
| ~ spl2_489
| ~ spl2_1013 ),
inference(avatar_split_clause,[],[f59510,f39234,f18373,f14996,f18576,f18489,f18530]) ).
thf(f59521,plain,
( spl2_719
| spl2_702
| spl2_712
| ~ spl2_58
| ~ spl2_371
| ~ spl2_696 ),
inference(avatar_split_clause,[],[f59512,f30333,f14996,f824,f30455,f30411,f30572]) ).
thf(f59523,plain,
( spl2_712
| spl2_719
| ~ spl2_371
| ~ spl2_696
| spl2_714
| ~ spl2_1013 ),
inference(avatar_split_clause,[],[f59516,f39234,f30499,f30333,f14996,f30572,f30455]) ).
thf(f59524,plain,
( spl2_190
| ~ spl2_178
| ~ spl2_492
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f56335,f18751,f18383,f10955,f11070]) ).
thf(f59527,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f58549,f40]) ).
thf(f59533,plain,
( spl2_230
| ~ spl2_233
| spl2_185
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f55368,f10967,f11048,f12929,f12918]) ).
thf(f59535,plain,
( spl2_166
| ~ spl2_9
| spl2_472
| ~ spl2_485 ),
inference(avatar_split_clause,[],[f55975,f18318,f17573,f126,f10836]) ).
thf(f59536,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_164
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f54679,f57250]) ).
thf(f59541,plain,
( spl2_175
| spl2_1045
| spl2_184
| spl2_161 ),
inference(avatar_split_clause,[],[f54127,f10802,f11045,f45848,f10944]) ).
thf(f59544,plain,
( spl2_175
| spl2_185
| spl2_226
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f55384,f10967,f12901,f11048,f10944]) ).
thf(f59550,plain,
( spl2_212
| ~ spl2_70
| ~ spl2_154
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f56111,f11073,f10738,f1084,f11920]) ).
thf(f59552,definition,
( spl2_1156
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1156])],[avatar_definition]) ).
thf(f59553,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_1156 ),
inference(avatar_component_clause,[],[f59552]) ).
thf(f59557,plain,
( spl2_556
| spl2_175
| spl2_192 ),
inference(avatar_split_clause,[],[f55218,f11077,f10944,f19708]) ).
thf(f59562,plain,
( ~ spl2_70
| spl2_551
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f55474,f11912,f19472,f1084]) ).
thf(f59566,plain,
( ~ spl2_504
| spl2_527
| ~ spl2_485
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f55972,f18751,f18318,f18782,f18540]) ).
thf(f59568,plain,
( ~ spl2_520
| spl2_527
| ~ spl2_191
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f56112,f18751,f11073,f18782,f18710]) ).
thf(f59570,plain,
( spl2_472
| ~ spl2_57
| spl2_166
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f56110,f11073,f10836,f819,f17573]) ).
thf(f59572,plain,
( spl2_212
| ~ spl2_43
| spl2_166
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f55205,f10738,f10836,f579,f11920]) ).
thf(f59577,plain,
( spl2_70
| spl2_184
| spl2_73
| spl2_161 ),
inference(avatar_split_clause,[],[f54129,f10802,f1195,f11045,f1084]) ).
thf(f59590,plain,
( ~ spl2_25
| spl2_184
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f54760,f19462,f11045,f399]) ).
thf(f59594,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_161
| ~ spl2_191
| ~ spl2_1013 ),
inference(forward_subsumption_resolution,[],[f59527,f18258]) ).
thf(f59598,plain,
( spl2_579
| ~ spl2_500
| spl2_164
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f59536,f18383,f10822,f18492,f22036]) ).
thf(f59604,plain,
( spl2_472
| spl2_185
| ~ spl2_57
| spl2_161
| ~ spl2_191
| ~ spl2_1013 ),
inference(avatar_split_clause,[],[f59594,f39234,f11073,f10802,f819,f11048,f17573]) ).
thf(f59611,definition,
( spl2_1159
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1159])],[avatar_definition]) ).
thf(f59612,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1159 ),
inference(avatar_component_clause,[],[f59611]) ).
thf(f59613,plain,
( spl2_1159
| spl2_501
| ~ spl2_1040 ),
inference(avatar_split_clause,[],[f56036,f44613,f18508,f59611]) ).
thf(f59614,plain,
( ~ spl2_371
| spl2_513
| spl2_509
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f56440,f18373,f18576,f18682,f14996]) ).
thf(f59624,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f24,f959]) ).
thf(f59625,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f59624]) ).
thf(f59653,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1076,f505]) ).
thf(f59655,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_28 ),
inference(constrained_superposition,[],[f52259,f505]) ).
thf(f59669,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f59655]) ).
thf(f59676,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_28
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f59653]) ).
thf(f59687,plain,
( ~ spl2_50
| ~ spl2_28
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f59676,f1075,f411,f760]) ).
thf(f59696,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_23
| ~ spl2_58 ),
inference(constrained_superposition,[],[f965,f825]) ).
thf(f59698,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_23
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f59696]) ).
thf(f59747,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_163 ),
inference(constrained_superposition,[],[f59625,f15504]) ).
thf(f59754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f59747]) ).
thf(f59757,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_163
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f59754,f11049]) ).
thf(f59758,plain,
( spl2_212
| ~ spl2_43
| ~ spl2_163
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f59757,f11048,f10818,f579,f11920]) ).
thf(f59812,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f93,f45838]) ).
thf(f59816,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f59812]) ).
thf(f59819,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_489
| ~ spl2_500 ),
inference(constrained_superposition,[],[f55490,f18493]) ).
thf(f59824,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_489
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f59819]) ).
thf(f59831,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_702 ),
inference(constrained_superposition,[],[f93,f30412]) ).
thf(f59833,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_702 ),
inference(trivial_inequality_removal,[],[f59831]) ).
thf(f59835,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_702 ),
inference(forward_subsumption_resolution,[],[f59833,f959]) ).
thf(f59836,plain,
( spl2_715
| spl2_787
| ~ spl2_43
| ~ spl2_702 ),
inference(avatar_split_clause,[],[f59835,f30411,f579,f32372,f30502]) ).
thf(f59860,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_492
| ~ spl2_501 ),
inference(constrained_superposition,[],[f54678,f18509]) ).
thf(f59863,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_492
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f59860]) ).
thf(f59864,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_186
| ~ spl2_492
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f59863,f14947]) ).
thf(f59865,plain,
( spl2_388
| ~ spl2_186
| ~ spl2_492
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f59864,f18508,f18383,f11052,f15794]) ).
thf(f59866,plain,
( spl2_509
| ~ spl2_371
| ~ spl2_489
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f59824,f18492,f18373,f14996,f18576]) ).
thf(f59871,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_78
| ~ spl2_185 ),
inference(constrained_superposition,[],[f1349,f11049]) ).
thf(f59874,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_78
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f59871]) ).
thf(f59878,plain,
( $false
| ~ spl2_78
| spl2_161
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f59874,f18258]) ).
thf(f59879,plain,
( ~ spl2_78
| spl2_161
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f59878]) ).
thf(f59905,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_221 ),
inference(constrained_superposition,[],[f93,f12941]) ).
thf(f59907,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f59905]) ).
thf(f59950,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_179 ),
inference(constrained_superposition,[],[f383,f10964]) ).
thf(f59963,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f59950]) ).
thf(f59991,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f363,f10968]) ).
thf(f59992,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f3527,f10968]) ).
thf(f60018,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f59991]) ).
thf(f60029,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f59992]) ).
thf(f60049,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f57,f32373]) ).
thf(f60052,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f89,f32373]) ).
thf(f60056,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_787 ),
inference(constrained_superposition,[],[f383,f32373]) ).
thf(f60068,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f60056]) ).
thf(f60078,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f60052]) ).
thf(f60083,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f60049]) ).
thf(f60090,plain,
( spl2_791
| spl2_100
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f60078,f32372,f3443,f32502]) ).
thf(f60094,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_492
| ~ spl2_1046 ),
inference(constrained_superposition,[],[f54678,f46093]) ).
thf(f60100,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_492
| ~ spl2_1046 ),
inference(trivial_inequality_removal,[],[f60094]) ).
thf(f60102,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_221
| ~ spl2_492
| ~ spl2_1046 ),
inference(forward_subsumption_resolution,[],[f60100,f12941]) ).
thf(f60103,plain,
( spl2_183
| ~ spl2_221
| ~ spl2_492
| ~ spl2_1046 ),
inference(avatar_split_clause,[],[f60102,f46092,f18383,f12810,f11042]) ).
thf(f60104,plain,
( spl2_191
| ~ spl2_225
| ~ spl2_20
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f59963,f10963,f382,f12897,f11073]) ).
thf(f60105,plain,
( spl2_21
| ~ spl2_51
| ~ spl2_1
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f59669,f411,f65,f764,f385]) ).
thf(f60108,plain,
( spl2_191
| spl2_231
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f60018,f10967,f12921,f11073]) ).
thf(f60110,plain,
( spl2_700
| ~ spl2_50
| ~ spl2_20
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f60068,f32372,f382,f760,f30404]) ).
thf(f60112,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_23
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f59698,f40]) ).
thf(f60113,plain,
( spl2_791
| spl2_9
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f60083,f32372,f126,f32502]) ).
thf(f60116,plain,
( spl2_163
| spl2_370
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f60029,f10967,f14949,f10818]) ).
thf(f60126,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_22
| spl2_23
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f60112,f10844]) ).
thf(f60130,plain,
( spl2_21
| spl2_22
| spl2_23
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f60126,f824,f392,f389,f385]) ).
thf(f60163,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_166 ),
inference(constrained_superposition,[],[f383,f10837]) ).
thf(f60181,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f60163]) ).
thf(f60196,plain,
( ~ spl2_50
| spl2_191
| ~ spl2_20
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f60181,f10836,f382,f11073,f760]) ).
thf(f60231,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_489
| ~ spl2_520 ),
inference(constrained_superposition,[],[f55490,f19285]) ).
thf(f60235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_489
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f60231]) ).
thf(f60239,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_184
| ~ spl2_489
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f60235,f45838]) ).
thf(f60241,plain,
( spl2_541
| ~ spl2_184
| ~ spl2_489
| ~ spl2_520 ),
inference(avatar_split_clause,[],[f60239,f18710,f18373,f11045,f19305]) ).
thf(f60307,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14508,f193]) ).
thf(f60315,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f60307]) ).
thf(f60341,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_860 ),
inference(constrained_superposition,[],[f33532,f84]) ).
thf(f60350,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_860 ),
inference(trivial_inequality_removal,[],[f60341]) ).
thf(f60375,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_713
| ~ spl2_721 ),
inference(constrained_superposition,[],[f32552,f30586]) ).
thf(f60462,plain,
( $false
| ~ spl2_371
| spl2_713
| ~ spl2_721 ),
inference(forward_subsumption_resolution,[],[f60375,f14997]) ).
thf(f60463,plain,
( ~ spl2_371
| spl2_713
| ~ spl2_721 ),
inference(avatar_contradiction_clause,[],[f60462]) ).
thf(f60542,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_511 ),
inference(constrained_superposition,[],[f93,f18607]) ).
thf(f60548,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f60542]) ).
thf(f60570,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1058 ),
inference(constrained_superposition,[],[f52052,f194]) ).
thf(f60577,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1058 ),
inference(trivial_inequality_removal,[],[f60570]) ).
thf(f60580,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_1046
| ~ spl2_1058 ),
inference(forward_subsumption_resolution,[],[f60577,f59405]) ).
thf(f60581,plain,
( ~ spl2_25
| spl2_1046
| ~ spl2_1058 ),
inference(avatar_split_clause,[],[f60580,f52051,f46092,f399]) ).
thf(f60588,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_1149 ),
inference(constrained_superposition,[],[f59409,f194]) ).
thf(f60593,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1149 ),
inference(trivial_inequality_removal,[],[f60588]) ).
thf(f60598,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_1046
| ~ spl2_1149 ),
inference(forward_subsumption_resolution,[],[f60593,f59405]) ).
thf(f60599,plain,
( ~ spl2_49
| spl2_1046
| ~ spl2_1149 ),
inference(avatar_split_clause,[],[f60598,f59408,f46092,f700]) ).
thf(f60600,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f638,f18381]) ).
thf(f60606,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f62,f18381]) ).
thf(f60609,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f161,f18381]) ).
thf(f60610,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f3543,f18381]) ).
thf(f60612,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_491
| ~ spl2_998 ),
inference(constrained_superposition,[],[f38290,f18381]) ).
thf(f60622,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_491
| ~ spl2_998 ),
inference(trivial_inequality_removal,[],[f60612]) ).
thf(f60627,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f60600]) ).
thf(f60628,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f60610]) ).
thf(f60635,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f60609]) ).
thf(f60636,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f60606]) ).
thf(f60647,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_175
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f60635,f12106]) ).
thf(f60653,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| spl2_175
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f60647,f40]) ).
thf(f60669,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_998
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f38290,f59269]) ).
thf(f60674,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f26,f59269]) ).
thf(f60681,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f60674]) ).
thf(f60690,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_998
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f60669]) ).
thf(f60700,plain,
( spl2_544
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f60681,f59268,f19348]) ).
thf(f60704,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_787
| ~ spl2_998
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f60690,f32373]) ).
thf(f60709,plain,
( $false
| spl2_163
| ~ spl2_787
| ~ spl2_998
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f60704,f10819]) ).
thf(f60710,plain,
( spl2_163
| ~ spl2_787
| ~ spl2_998
| ~ spl2_1142 ),
inference(avatar_contradiction_clause,[],[f60709]) ).
thf(f60726,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_1136 ),
inference(constrained_superposition,[],[f59198,f84]) ).
thf(f60733,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_1136 ),
inference(trivial_inequality_removal,[],[f60726]) ).
thf(f60740,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1137 ),
inference(constrained_superposition,[],[f59202,f84]) ).
thf(f60744,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1137 ),
inference(constrained_superposition,[],[f59202,f194]) ).
thf(f60746,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1137 ),
inference(trivial_inequality_removal,[],[f60740]) ).
thf(f60752,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1137 ),
inference(trivial_inequality_removal,[],[f60744]) ).
thf(f60963,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_791 ),
inference(constrained_superposition,[],[f32503,f193]) ).
thf(f60977,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_791 ),
inference(trivial_inequality_removal,[],[f60963]) ).
thf(f61027,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_489
| ~ spl2_697 ),
inference(constrained_superposition,[],[f55490,f30338]) ).
thf(f61031,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_489
| ~ spl2_697 ),
inference(trivial_inequality_removal,[],[f61027]) ).
thf(f61036,plain,
( spl2_792
| ~ spl2_696
| ~ spl2_489
| ~ spl2_697 ),
inference(avatar_split_clause,[],[f61031,f30337,f18373,f30333,f32558]) ).
thf(f61658,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_697
| ~ spl2_804 ),
inference(constrained_superposition,[],[f33205,f30338]) ).
thf(f61662,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_714
| ~ spl2_804 ),
inference(constrained_superposition,[],[f33205,f32352]) ).
thf(f61667,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_697
| ~ spl2_804 ),
inference(trivial_inequality_removal,[],[f61658]) ).
thf(f61670,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_714
| ~ spl2_804 ),
inference(trivial_inequality_removal,[],[f61662]) ).
thf(f61674,plain,
( $false
| ~ spl2_511
| ~ spl2_697
| ~ spl2_804 ),
inference(forward_subsumption_resolution,[],[f61667,f18607]) ).
thf(f61675,plain,
( ~ spl2_511
| ~ spl2_697
| ~ spl2_804 ),
inference(avatar_contradiction_clause,[],[f61674]) ).
thf(f61679,plain,
( $false
| ~ spl2_185
| ~ spl2_714
| ~ spl2_804 ),
inference(forward_subsumption_resolution,[],[f61670,f11049]) ).
thf(f61680,plain,
( ~ spl2_185
| ~ spl2_714
| ~ spl2_804 ),
inference(avatar_contradiction_clause,[],[f61679]) ).
thf(f61687,plain,
( spl2_503
| spl2_506
| spl2_175
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f60653,f18380,f10944,f18548,f18530]) ).
thf(f61693,plain,
( ~ spl2_569
| spl2_504
| spl2_192
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f60627,f18380,f11077,f18540,f20183]) ).
thf(f61694,plain,
( ~ spl2_28
| spl2_191
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f60315,f14507,f11073,f411]) ).
thf(f61698,plain,
( ~ spl2_28
| spl2_700
| ~ spl2_791 ),
inference(avatar_split_clause,[],[f60977,f32502,f30404,f411]) ).
thf(f61706,plain,
( ~ spl2_186
| spl2_183
| spl2_28
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f59816,f11045,f411,f11042,f11052]) ).
thf(f61712,plain,
( spl2_183
| spl2_164
| ~ spl2_23
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f59907,f12810,f392,f10822,f11042]) ).
thf(f61713,plain,
( spl2_9
| spl2_371
| ~ spl2_1136 ),
inference(avatar_split_clause,[],[f60733,f59197,f14996,f126]) ).
thf(f61715,plain,
( spl2_529
| ~ spl2_233
| spl2_503
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f60628,f18380,f18530,f12929,f18864]) ).
thf(f61716,plain,
( ~ spl2_233
| spl2_504
| spl2_503
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f60636,f18380,f18530,f18540,f12929]) ).
thf(f61754,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_23
| ~ spl2_43 ),
inference(constrained_superposition,[],[f59625,f393]) ).
thf(f61758,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f61754]) ).
thf(f61760,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_23
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f61758,f69]) ).
thf(f61761,plain,
( spl2_34
| ~ spl2_2
| ~ spl2_23
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f61760,f579,f392,f68,f515]) ).
thf(f61778,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1346,f83]) ).
thf(f61795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f61778]) ).
thf(f61909,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_776 ),
inference(constrained_superposition,[],[f31968,f27]) ).
thf(f61910,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_776 ),
inference(trivial_inequality_removal,[],[f61909]) ).
thf(f61913,plain,
( spl2_501
| spl2_499
| spl2_776 ),
inference(avatar_split_clause,[],[f61910,f31967,f18489,f18508]) ).
thf(f61994,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_1046 ),
inference(constrained_superposition,[],[f93,f46093]) ).
thf(f61997,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1046 ),
inference(trivial_inequality_removal,[],[f61994]) ).
thf(f61999,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_1046 ),
inference(forward_subsumption_resolution,[],[f61997,f412]) ).
thf(f62000,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_28
| ~ spl2_500
| ~ spl2_1046 ),
inference(forward_subsumption_resolution,[],[f61999,f18493]) ).
thf(f62001,plain,
( spl2_541
| spl2_28
| ~ spl2_500
| ~ spl2_1046 ),
inference(avatar_split_clause,[],[f62000,f46092,f18492,f411,f19305]) ).
thf(f62036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_526 ),
inference(constrained_superposition,[],[f93,f18752]) ).
thf(f62039,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f62036]) ).
thf(f62041,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_700 ),
inference(constrained_superposition,[],[f33857,f28415]) ).
thf(f62044,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_700 ),
inference(trivial_inequality_removal,[],[f62041]) ).
thf(f62122,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f3527,f18377]) ).
thf(f62131,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_490
| ~ spl2_998 ),
inference(constrained_superposition,[],[f38290,f18377]) ).
thf(f62139,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f62122]) ).
thf(f62142,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_490
| ~ spl2_998 ),
inference(trivial_inequality_removal,[],[f62131]) ).
thf(f62173,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f363,f59269]) ).
thf(f62182,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_897
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f33717,f59269]) ).
thf(f62199,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_897
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f62182]) ).
thf(f62212,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f62173]) ).
thf(f62225,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| spl2_700
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f62212,f33857]) ).
thf(f62231,plain,
( spl2_1141
| spl2_700
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f62225,f59268,f30404,f59261]) ).
thf(f62238,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_897
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f62199,f85]) ).
thf(f62244,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_897
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f62238]) ).
thf(f62249,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_700
| ~ spl2_897
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f62244,f33857]) ).
thf(f62252,plain,
( $false
| spl2_700
| ~ spl2_897
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f62249,f40]) ).
thf(f62253,plain,
( spl2_700
| ~ spl2_897
| ~ spl2_1142 ),
inference(avatar_contradiction_clause,[],[f62252]) ).
thf(f62254,plain,
( spl2_568
| spl2_186
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f62139,f18376,f11052,f20175]) ).
thf(f62255,plain,
( spl2_527
| spl2_513
| ~ spl2_163
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f60548,f18606,f10818,f18682,f18782]) ).
thf(f62259,plain,
( ~ spl2_500
| spl2_166
| spl2_527
| ~ spl2_526 ),
inference(avatar_split_clause,[],[f62039,f18751,f18782,f10836,f18492]) ).
thf(f62260,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_264
| ~ spl2_860 ),
inference(forward_subsumption_resolution,[],[f60350,f19740]) ).
thf(f62265,plain,
( spl2_186
| ~ spl2_513
| ~ spl2_491
| ~ spl2_998 ),
inference(avatar_split_clause,[],[f60622,f38289,f18380,f18682,f11052]) ).
thf(f62266,plain,
( ~ spl2_164
| spl2_500
| ~ spl2_490
| ~ spl2_998 ),
inference(avatar_split_clause,[],[f62142,f38289,f18376,f18492,f10822]) ).
thf(f62269,plain,
( ~ spl2_82
| spl2_264
| ~ spl2_860 ),
inference(avatar_split_clause,[],[f62260,f33531,f13671,f1476]) ).
thf(f62286,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_82 ),
inference(constrained_superposition,[],[f117,f1477]) ).
thf(f62288,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f57,f1477]) ).
thf(f62291,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f89,f1477]) ).
thf(f62292,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f90,f1477]) ).
thf(f62295,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f155,f1477]) ).
thf(f62303,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f62295]) ).
thf(f62305,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f62288]) ).
thf(f62319,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f62292]) ).
thf(f62320,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f62291]) ).
thf(f62322,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f62286]) ).
thf(f62323,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f62303,f51]) ).
thf(f62325,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_9
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f62305,f127]) ).
thf(f62328,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f62319,f51]) ).
thf(f62329,plain,
( spl2_350
| spl2_100
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f62320,f1476,f3443,f14179]) ).
thf(f62330,plain,
( spl2_350
| ~ spl2_8
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f62322,f1476,f116,f14179]) ).
thf(f62331,plain,
( spl2_351
| spl2_15
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f62323,f1476,f283,f14185]) ).
thf(f62333,plain,
( spl2_350
| spl2_9
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f62325,f1476,f126,f14179]) ).
thf(f62335,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_9
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f62328,f127]) ).
thf(f62337,plain,
( spl2_351
| spl2_9
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f62335,f1476,f126,f14185]) ).
thf(f62341,plain,
( ( $true != $true )
| ~ spl2_57
| ~ spl2_172 ),
inference(constrained_superposition,[],[f10879,f820]) ).
thf(f62342,plain,
( ( $true != $true )
| ~ spl2_2
| ~ spl2_172 ),
inference(constrained_superposition,[],[f10879,f69]) ).
thf(f62345,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f10879,f215]) ).
thf(f62346,plain,
( $false
| ~ spl2_57
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f62341]) ).
thf(f62347,plain,
( ~ spl2_57
| ~ spl2_172 ),
inference(avatar_contradiction_clause,[],[f62346]) ).
thf(f62351,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f62345]) ).
thf(f62354,plain,
( $false
| ~ spl2_2
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f62342]) ).
thf(f62355,plain,
( ~ spl2_2
| ~ spl2_172 ),
inference(avatar_contradiction_clause,[],[f62354]) ).
thf(f62357,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( X0 = X1 ) )
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f62351,f10879]) ).
thf(f62359,plain,
( spl2_353
| spl2_18
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f62357,f10878,f374,f14222]) ).
thf(f62362,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f28415,f58948]) ).
thf(f62363,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_204 ),
inference(extensionality_resolution,[],[f28415,f58948]) ).
thf(f62364,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_204 ),
inference(extensionality_resolution,[],[f5337,f58948]) ).
thf(f62367,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f2635,f58948]) ).
thf(f62369,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f90,f58948]) ).
thf(f62370,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f3543,f58948]) ).
thf(f62371,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f3543,f58948]) ).
thf(f62375,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f153,f58948]) ).
thf(f62378,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_204 ),
inference(extensionality_resolution,[],[f85,f58948]) ).
thf(f62379,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_204 ),
inference(extensionality_resolution,[],[f85,f58948]) ).
thf(f62381,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f55,f58948]) ).
thf(f62386,plain,
( spl2_1156
| spl2_727
| spl2_204 ),
inference(avatar_split_clause,[],[f62378,f11530,f30869,f59552]) ).
thf(f62388,plain,
( spl2_1142
| spl2_728
| spl2_204 ),
inference(avatar_split_clause,[],[f62379,f11530,f30872,f59268]) ).
thf(f62398,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f90,f58943]) ).
thf(f62399,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f90,f58943]) ).
thf(f62400,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f3543,f58943]) ).
thf(f62401,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f3543,f58943]) ).
thf(f62402,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f89,f58943]) ).
thf(f62403,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f89,f58943]) ).
thf(f62407,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f154,f58943]) ).
thf(f62408,plain,
( ( ( 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 ) ) ) ) )
= $true )
| spl2_205 ),
inference(extensionality_resolution,[],[f85,f58943]) ).
thf(f62409,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_205 ),
inference(extensionality_resolution,[],[f85,f58943]) ).
thf(f62412,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_205 ),
inference(extensionality_resolution,[],[f51,f58943]) ).
thf(f62413,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_205 ),
inference(extensionality_resolution,[],[f51,f58943]) ).
thf(f62416,plain,
( spl2_733
| spl2_526
| spl2_205 ),
inference(avatar_split_clause,[],[f62413,f11533,f18751,f30912]) ).
thf(f62418,plain,
( spl2_544
| spl2_526
| spl2_205 ),
inference(avatar_split_clause,[],[f62403,f11533,f18751,f19348]) ).
thf(f62419,plain,
( spl2_691
| spl2_692
| spl2_205 ),
inference(avatar_split_clause,[],[f62409,f11533,f30315,f30312]) ).
thf(f62420,plain,
( spl2_696
| spl2_695
| spl2_205 ),
inference(avatar_split_clause,[],[f62408,f11533,f30330,f30333]) ).
thf(f62482,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_350 ),
inference(constrained_superposition,[],[f14180,f84]) ).
thf(f62488,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f62482]) ).
thf(f62647,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_733 ),
inference(constrained_superposition,[],[f3527,f30913]) ).
thf(f62648,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_733 ),
inference(constrained_superposition,[],[f57,f30913]) ).
thf(f62653,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_733 ),
inference(constrained_superposition,[],[f161,f30913]) ).
thf(f62654,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_733 ),
inference(constrained_superposition,[],[f3543,f30913]) ).
thf(f62656,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_733 ),
inference(constrained_superposition,[],[f383,f30913]) ).
thf(f62657,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_733
| ~ spl2_998 ),
inference(constrained_superposition,[],[f38290,f30913]) ).
thf(f62675,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f62653]) ).
thf(f62676,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f62656]) ).
thf(f62679,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f62654]) ).
thf(f62680,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f62648]) ).
thf(f62683,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f62647]) ).
thf(f62684,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_733
| ~ spl2_998 ),
inference(trivial_inequality_removal,[],[f62657]) ).
thf(f62694,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_526 ),
inference(constrained_superposition,[],[f20853,f28415]) ).
thf(f62697,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_526 ),
inference(trivial_inequality_removal,[],[f62694]) ).
thf(f62748,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f57,f59553]) ).
thf(f62755,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f383,f59553]) ).
thf(f62768,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f62755]) ).
thf(f62782,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f62748]) ).
thf(f62790,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| spl2_700
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f62768,f33857]) ).
thf(f62796,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_154
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f62782,f11063]) ).
thf(f62799,plain,
( ~ spl2_235
| ~ spl2_20
| spl2_700
| ~ spl2_1156 ),
inference(avatar_split_clause,[],[f62790,f59552,f30404,f382,f12939]) ).
thf(f62801,plain,
( spl2_1143
| spl2_154
| ~ spl2_1156 ),
inference(avatar_split_clause,[],[f62796,f59552,f10738,f59319]) ).
thf(f62814,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_350
| ~ spl2_787 ),
inference(constrained_superposition,[],[f62488,f32373]) ).
thf(f62818,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_350
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f62814]) ).
thf(f62821,plain,
( $false
| ~ spl2_350
| spl2_713
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f62818,f32552]) ).
thf(f62822,plain,
( ~ spl2_350
| spl2_713
| ~ spl2_787 ),
inference(avatar_contradiction_clause,[],[f62821]) ).
thf(f62865,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_1064 ),
inference(constrained_superposition,[],[f53760,f84]) ).
thf(f62870,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_1064 ),
inference(constrained_superposition,[],[f53760,f50]) ).
thf(f62873,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1064 ),
inference(trivial_inequality_removal,[],[f62870]) ).
thf(f62875,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1064 ),
inference(trivial_inequality_removal,[],[f62865]) ).
thf(f62927,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_691
| ~ spl2_816 ),
inference(constrained_superposition,[],[f33289,f30313]) ).
thf(f62952,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_691
| ~ spl2_816 ),
inference(trivial_inequality_removal,[],[f62927]) ).
thf(f62969,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_691
| ~ spl2_816 ),
inference(constrained_superposition,[],[f62952,f85]) ).
thf(f62974,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_691
| ~ spl2_816 ),
inference(trivial_inequality_removal,[],[f62969]) ).
thf(f62978,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_691
| spl2_700
| ~ spl2_816 ),
inference(forward_subsumption_resolution,[],[f62974,f33857]) ).
thf(f62983,plain,
( $false
| ~ spl2_691
| spl2_700
| ~ spl2_816 ),
inference(forward_subsumption_resolution,[],[f62978,f40]) ).
thf(f62984,plain,
( ~ spl2_691
| spl2_700
| ~ spl2_816 ),
inference(avatar_contradiction_clause,[],[f62983]) ).
thf(f62986,plain,
( spl2_926
| spl2_500
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f62683,f30912,f18492,f33891]) ).
thf(f62987,plain,
( spl2_163
| ~ spl2_513
| ~ spl2_733
| ~ spl2_998 ),
inference(avatar_split_clause,[],[f62684,f38289,f30912,f18682,f10818]) ).
thf(f62989,plain,
( ~ spl2_1059
| spl2_191
| ~ spl2_20
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f62676,f30912,f382,f11073,f52916]) ).
thf(f63101,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f93,f12895]) ).
thf(f63103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f63101]) ).
thf(f63234,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f15729,f50]) ).
thf(f63241,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f63234]) ).
thf(f63257,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_489 ),
inference(constrained_superposition,[],[f93,f18374]) ).
thf(f63259,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_489 ),
inference(trivial_inequality_removal,[],[f63257]) ).
thf(f63315,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_1052
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f49504,f59553]) ).
thf(f63348,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_1052
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f63315]) ).
thf(f63367,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1052
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f63348,f85]) ).
thf(f63373,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1052
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f63367]) ).
thf(f63378,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_1047
| ~ spl2_1052
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f63373,f59424]) ).
thf(f63381,plain,
( $false
| spl2_1047
| ~ spl2_1052
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f63378,f40]) ).
thf(f63382,plain,
( spl2_1047
| ~ spl2_1052
| ~ spl2_1156 ),
inference(avatar_contradiction_clause,[],[f63381]) ).
thf(f63388,plain,
( spl2_347
| ~ spl2_16
| spl2_371
| spl2_204 ),
inference(avatar_split_clause,[],[f62375,f11530,f14996,f309,f14104]) ).
thf(f63393,plain,
( spl2_503
| spl2_520
| spl2_1058
| spl2_204 ),
inference(avatar_split_clause,[],[f62370,f11530,f52051,f18710,f18530]) ).
thf(f63395,plain,
( spl2_779
| spl2_504
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f62680,f30912,f18540,f31980]) ).
thf(f63400,plain,
( ~ spl2_51
| spl2_192
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f63241,f15728,f11077,f764]) ).
thf(f63405,plain,
( spl2_184
| spl2_70
| ~ spl2_1137 ),
inference(avatar_split_clause,[],[f60752,f59201,f1084,f11045]) ).
thf(f63407,definition,
( spl2_1207
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1207])],[avatar_definition]) ).
thf(f63408,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_1207 ),
inference(avatar_component_clause,[],[f63407]) ).
thf(f63411,plain,
( ~ spl2_25
| spl2_192
| ~ spl2_1064 ),
inference(avatar_split_clause,[],[f62873,f53759,f11077,f399]) ).
thf(f63412,plain,
( spl2_503
| ~ spl2_25
| spl2_1046
| spl2_504
| spl2_204 ),
inference(avatar_split_clause,[],[f62367,f11530,f18540,f46092,f399,f18530]) ).
thf(f63414,plain,
( ~ spl2_25
| spl2_184
| spl2_182
| spl2_205 ),
inference(avatar_split_clause,[],[f62407,f11533,f10976,f11045,f399]) ).
thf(f63423,plain,
( ~ spl2_25
| spl2_175
| spl2_192
| spl2_184
| spl2_161 ),
inference(avatar_split_clause,[],[f54125,f10802,f11045,f11077,f10944,f399]) ).
thf(f63428,plain,
( spl2_70
| spl2_184
| spl2_175
| spl2_192
| spl2_161 ),
inference(avatar_split_clause,[],[f54121,f10802,f11077,f10944,f11045,f1084]) ).
thf(f63429,plain,
( spl2_371
| spl2_8
| spl2_204 ),
inference(avatar_split_clause,[],[f62381,f11530,f116,f14996]) ).
thf(f63430,plain,
( spl2_1150
| spl2_1046
| spl2_504
| spl2_204 ),
inference(avatar_split_clause,[],[f62369,f11530,f18540,f46092,f59451]) ).
thf(f63433,plain,
( spl2_503
| spl2_1046
| spl2_70
| spl2_504
| spl2_204 ),
inference(avatar_split_clause,[],[f62363,f11530,f18540,f1084,f46092,f18530]) ).
thf(f63434,plain,
( spl2_43
| spl2_371
| ~ spl2_1137 ),
inference(avatar_split_clause,[],[f60746,f59201,f14996,f579]) ).
thf(f63452,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| spl2_43 ),
inference(constrained_superposition,[],[f580,f5028]) ).
thf(f63455,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| spl2_43 ),
inference(trivial_inequality_removal,[],[f63452]) ).
thf(f63512,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f93,f14113]) ).
thf(f63516,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f63512]) ).
thf(f63551,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_504 ),
inference(constrained_superposition,[],[f61795,f18541]) ).
thf(f63556,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f63551]) ).
thf(f63557,plain,
( spl2_513
| ~ spl2_77
| ~ spl2_504 ),
inference(avatar_split_clause,[],[f63556,f18540,f1345,f18682]) ).
thf(f63616,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f66,f49]) ).
thf(f63617,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f63616]) ).
thf(f63632,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_146
| ~ spl2_224 ),
inference(constrained_superposition,[],[f8352,f14113]) ).
thf(f63655,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_146
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f63632]) ).
thf(f63662,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_23
| ~ spl2_146
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f63655,f393]) ).
thf(f63667,plain,
( $false
| ~ spl2_23
| ~ spl2_146
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f63662,f40]) ).
thf(f63668,plain,
( ~ spl2_23
| ~ spl2_146
| ~ spl2_224 ),
inference(avatar_contradiction_clause,[],[f63667]) ).
thf(f63672,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_28
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f63516,f412]) ).
thf(f63674,plain,
( spl2_511
| spl2_620
| spl2_205 ),
inference(avatar_split_clause,[],[f62412,f11533,f24940,f18606]) ).
thf(f63676,plain,
( spl2_511
| spl2_1040
| spl2_205 ),
inference(avatar_split_clause,[],[f62402,f11533,f44613,f18606]) ).
thf(f63679,plain,
( spl2_1013
| spl2_9
| spl2_43 ),
inference(avatar_split_clause,[],[f63455,f579,f126,f39234]) ).
thf(f63684,plain,
( spl2_513
| ~ spl2_186
| spl2_579
| ~ spl2_489 ),
inference(avatar_split_clause,[],[f63259,f18373,f22036,f11052,f18682]) ).
thf(f63687,plain,
( spl2_1046
| spl2_73
| spl2_70
| spl2_204 ),
inference(avatar_split_clause,[],[f62371,f11530,f1084,f1195,f46092]) ).
thf(f63688,plain,
( ~ spl2_50
| spl2_371
| ~ spl2_1064 ),
inference(avatar_split_clause,[],[f62875,f53759,f14996,f760]) ).
thf(f63692,plain,
( ~ spl2_163
| spl2_211
| spl2_28
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f63672,f12828,f411,f11912,f10818]) ).
thf(f63701,plain,
( ~ spl2_23
| spl2_166
| spl2_211
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f63103,f11073,f11912,f10836,f392]) ).
thf(f63702,plain,
( spl2_70
| spl2_499
| spl2_21
| spl2_714
| spl2_700 ),
inference(avatar_split_clause,[],[f62044,f30404,f30499,f385,f18489,f1084]) ).
thf(f63705,plain,
( spl2_211
| spl2_28
| ~ spl2_163
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f63516,f12828,f10818,f411,f11912]) ).
thf(f63735,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f638,f505]) ).
thf(f63738,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f57,f505]) ).
thf(f63741,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( sK1 = X1 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f89,f505]) ).
thf(f63744,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f3543,f505]) ).
thf(f63746,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f153,f505]) ).
thf(f63755,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f63735]) ).
thf(f63758,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f63744]) ).
thf(f63761,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f63741]) ).
thf(f63762,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f63738]) ).
thf(f63768,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f63746]) ).
thf(f63773,plain,
( spl2_100
| spl2_106
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f63761,f411,f3578,f3443]) ).
thf(f63779,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_23 ),
inference(constrained_superposition,[],[f965,f215]) ).
thf(f63781,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_23 ),
inference(trivial_inequality_removal,[],[f63779]) ).
thf(f63783,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| spl2_22
| spl2_23 ),
inference(forward_subsumption_resolution,[],[f63781,f10844]) ).
thf(f63784,plain,
( spl2_41
| spl2_15
| spl2_22
| spl2_23 ),
inference(avatar_split_clause,[],[f63783,f392,f389,f283,f571]) ).
thf(f63808,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f3543,f10837]) ).
thf(f63818,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f63808]) ).
thf(f63845,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1346,f83]) ).
thf(f63850,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1346,f215]) ).
thf(f63852,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f63850]) ).
thf(f63854,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f63845]) ).
thf(f63857,plain,
( spl2_15
| spl2_14
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f63852,f1345,f280,f283]) ).
thf(f63858,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f638,f10823]) ).
thf(f63859,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f237,f10823]) ).
thf(f63861,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f57,f10823]) ).
thf(f63863,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f62,f10823]) ).
thf(f63864,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f89,f10823]) ).
thf(f63866,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f161,f10823]) ).
thf(f63868,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_164 ),
inference(constrained_superposition,[],[f383,f10823]) ).
thf(f63870,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f153,f10823]) ).
thf(f63871,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f154,f10823]) ).
thf(f63878,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63870]) ).
thf(f63879,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63861]) ).
thf(f63880,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63864]) ).
thf(f63882,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63868]) ).
thf(f63883,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63863]) ).
thf(f63889,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63859]) ).
thf(f63890,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63858]) ).
thf(f63892,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63866]) ).
thf(f63893,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f63871]) ).
thf(f63895,plain,
( spl2_100
| spl2_365
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63880,f10822,f14791,f3443]) ).
thf(f63899,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_186 ),
inference(constrained_superposition,[],[f11053,f28415]) ).
thf(f63903,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_186 ),
inference(trivial_inequality_removal,[],[f63899]) ).
thf(f63914,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1196,f84]) ).
thf(f63918,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f63914]) ).
thf(f64014,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f817,f50]) ).
thf(f64018,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f64014]) ).
thf(f64170,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f161,f32373]) ).
thf(f64175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f154,f32373]) ).
thf(f64185,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f64175]) ).
thf(f64196,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f64170]) ).
thf(f64199,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_702
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f64185,f30581]) ).
thf(f64204,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_702
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f64196,f30581]) ).
thf(f64206,plain,
( spl2_15
| ~ spl2_16
| spl2_702
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f64199,f32372,f30411,f309,f283]) ).
thf(f64209,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| spl2_702
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f64204,f40]) ).
thf(f64210,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_43
| spl2_702
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f64209,f580]) ).
thf(f64211,plain,
( spl2_15
| spl2_43
| spl2_702
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f64210,f32372,f30411,f579,f283]) ).
thf(f64330,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_733
| ~ spl2_1149 ),
inference(constrained_superposition,[],[f59409,f30913]) ).
thf(f64339,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_733
| ~ spl2_1149 ),
inference(trivial_inequality_removal,[],[f64330]) ).
thf(f64341,plain,
( ~ spl2_151
| ~ spl2_733
| ~ spl2_1149 ),
inference(avatar_split_clause,[],[f64339,f59408,f30912,f10722]) ).
thf(f64344,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| spl2_43
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f63818,f580]) ).
thf(f64345,plain,
( spl2_529
| spl2_503
| ~ spl2_234
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f62679,f30912,f12935,f18530,f18864]) ).
thf(f64348,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_205
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f62401,f20853]) ).
thf(f64350,plain,
( ~ spl2_234
| spl2_100
| spl2_43
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f64344,f10836,f579,f3443,f12935]) ).
thf(f64351,plain,
( spl2_374
| spl2_185
| spl2_205
| spl2_526 ),
inference(avatar_split_clause,[],[f64348,f18751,f11533,f11048,f15038]) ).
thf(f64381,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_374 ),
inference(constrained_superposition,[],[f15039,f84]) ).
thf(f64384,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_374 ),
inference(constrained_superposition,[],[f15039,f194]) ).
thf(f64386,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f64381]) ).
thf(f64391,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f64384]) ).
thf(f64395,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_752 ),
inference(constrained_superposition,[],[f31072,f84]) ).
thf(f64398,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_752 ),
inference(constrained_superposition,[],[f31072,f194]) ).
thf(f64402,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_752 ),
inference(trivial_inequality_removal,[],[f64395]) ).
thf(f64403,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_752 ),
inference(trivial_inequality_removal,[],[f64398]) ).
thf(f64409,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f93,f10948]) ).
thf(f64414,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f64409]) ).
thf(f64546,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f57,f18377]) ).
thf(f64549,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f89,f18377]) ).
thf(f64572,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f64546]) ).
thf(f64577,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f64549]) ).
thf(f64587,plain,
( spl2_244
| spl2_497
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f64577,f18376,f18479,f13284]) ).
thf(f64592,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f3527,f18381]) ).
thf(f64593,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f57,f18381]) ).
thf(f64604,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f154,f18381]) ).
thf(f64609,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f64593]) ).
thf(f64613,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f64604]) ).
thf(f64622,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f64592]) ).
thf(f64636,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f363,f59269]) ).
thf(f64637,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f3527,f59269]) ).
thf(f64638,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f57,f59269]) ).
thf(f64645,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f383,f59269]) ).
thf(f64646,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f63617,f59269]) ).
thf(f64654,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_1
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f64646]) ).
thf(f64662,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f64638]) ).
thf(f64668,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f64637]) ).
thf(f64672,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f64636]) ).
thf(f64673,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f64645]) ).
thf(f64674,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_1
| spl2_154
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f64654,f11063]) ).
thf(f64684,plain,
( ~ spl2_1049
| ~ spl2_1
| spl2_154
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f64674,f59268,f10738,f65,f49036]) ).
thf(f64696,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_728 ),
inference(constrained_superposition,[],[f30873,f28415]) ).
thf(f64699,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_728 ),
inference(trivial_inequality_removal,[],[f64696]) ).
thf(f64732,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_977
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f38108,f59269]) ).
thf(f64742,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_977
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f64732]) ).
thf(f64743,plain,
( ~ spl2_234
| ~ spl2_977
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f64742,f59268,f38107,f12935]) ).
thf(f64744,plain,
( spl2_9
| spl2_365
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63879,f10822,f14791,f126]) ).
thf(f64745,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| spl2_154 ),
inference(forward_subsumption_resolution,[],[f38792,f11063]) ).
thf(f64747,plain,
( ~ spl2_16
| spl2_57
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f63918,f1195,f819,f309]) ).
thf(f64748,plain,
( spl2_1141
| spl2_700
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f64672,f59268,f30404,f59261]) ).
thf(f64751,plain,
( spl2_106
| spl2_9
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f63762,f411,f126,f3578]) ).
thf(f64754,plain,
( spl2_70
| ~ spl2_51
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f64018,f816,f764,f1084]) ).
thf(f64755,plain,
( spl2_1141
| spl2_702
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f64662,f59268,f30411,f59261]) ).
thf(f64756,plain,
( spl2_568
| spl2_500
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f64622,f18380,f18492,f20175]) ).
thf(f64757,plain,
( spl2_497
| spl2_175
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f64572,f18376,f10944,f18479]) ).
thf(f64758,plain,
( spl2_710
| spl2_1207
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f64668,f59268,f63407,f30444]) ).
thf(f64760,plain,
( ~ spl2_49
| spl2_224
| ~ spl2_752 ),
inference(avatar_split_clause,[],[f64403,f31071,f12828,f700]) ).
thf(f64763,plain,
( ~ spl2_25
| spl2_224
| ~ spl2_374 ),
inference(avatar_split_clause,[],[f64391,f15038,f12828,f399]) ).
thf(f64770,plain,
( spl2_175
| spl2_506
| ~ spl2_569
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f64613,f18380,f20183,f18548,f10944]) ).
thf(f64771,plain,
( spl2_9
| spl2_175
| ~ spl2_16
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63889,f10822,f309,f10944,f126]) ).
thf(f64775,plain,
( ~ spl2_51
| spl2_264
| ~ spl2_752 ),
inference(avatar_split_clause,[],[f64402,f31071,f13671,f764]) ).
thf(f64780,plain,
( spl2_221
| ~ spl2_50
| ~ spl2_20
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63882,f10822,f382,f760,f12810]) ).
thf(f64782,plain,
( spl2_185
| spl2_508
| spl2_714
| spl2_702
| spl2_728 ),
inference(avatar_split_clause,[],[f64699,f30872,f30411,f30499,f18571,f11048]) ).
thf(f64783,plain,
( spl2_528
| spl2_504
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f64609,f18380,f18540,f18861]) ).
thf(f64784,plain,
( ~ spl2_16
| spl2_264
| ~ spl2_374 ),
inference(avatar_split_clause,[],[f64386,f15038,f13671,f309]) ).
thf(f64789,plain,
( spl2_9
| spl2_70
| ~ spl2_16
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f63755,f411,f309,f1084,f126]) ).
thf(f64790,plain,
( spl2_43
| ~ spl2_25
| spl2_100
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f63758,f411,f3443,f399,f579]) ).
thf(f64794,plain,
( spl2_224
| spl2_185
| spl2_70
| spl2_22
| spl2_154 ),
inference(avatar_split_clause,[],[f64745,f10738,f389,f1084,f11048,f12828]) ).
thf(f64802,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f24,f69]) ).
thf(f64803,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f64802]) ).
thf(f64806,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_9
| ~ spl2_15 ),
inference(constrained_superposition,[],[f127,f284]) ).
thf(f64808,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f64806]) ).
thf(f64811,plain,
( $false
| spl2_9
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f64808,f40]) ).
thf(f64812,plain,
( spl2_9
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f64811]) ).
thf(f64815,plain,
( ~ spl2_16
| spl2_15
| spl2_175
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63893,f10822,f10944,f283,f309]) ).
thf(f64872,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_371 ),
inference(constrained_superposition,[],[f15796,f215]) ).
thf(f64873,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true ) )
| spl2_371 ),
inference(trivial_inequality_removal,[],[f64872]) ).
thf(f64875,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| spl2_204
| spl2_371 ),
inference(forward_subsumption_resolution,[],[f64873,f58948]) ).
thf(f64876,plain,
( spl2_325
| spl2_219
| spl2_204
| spl2_371 ),
inference(avatar_split_clause,[],[f64875,f14996,f11530,f12620,f13955]) ).
thf(f64983,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_472 ),
inference(constrained_superposition,[],[f17574,f69]) ).
thf(f64992,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f64983]) ).
thf(f64997,plain,
( $false
| ~ spl2_2
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f64992,f69]) ).
thf(f64998,plain,
( ~ spl2_2
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f64997]) ).
thf(f65032,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f3527,f24941]) ).
thf(f65038,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f161,f24941]) ).
thf(f65039,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f3543,f24941]) ).
thf(f65040,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_620 ),
inference(constrained_superposition,[],[f383,f24941]) ).
thf(f65050,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f65039]) ).
thf(f65054,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f65040]) ).
thf(f65057,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f65032]) ).
thf(f65064,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f65038]) ).
thf(f65076,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_700 ),
inference(constrained_superposition,[],[f33857,f28415]) ).
thf(f65079,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_700 ),
inference(trivial_inequality_removal,[],[f65076]) ).
thf(f65081,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_511 ),
inference(constrained_superposition,[],[f31185,f28415]) ).
thf(f65084,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_511 ),
inference(trivial_inequality_removal,[],[f65081]) ).
thf(f65107,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_620
| ~ spl2_1052 ),
inference(constrained_superposition,[],[f49504,f24941]) ).
thf(f65117,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_620
| ~ spl2_1052 ),
inference(trivial_inequality_removal,[],[f65107]) ).
thf(f65118,plain,
( ~ spl2_1060
| ~ spl2_620
| ~ spl2_1052 ),
inference(avatar_split_clause,[],[f65117,f49503,f24940,f52946]) ).
thf(f65148,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_620
| ~ spl2_1043 ),
inference(constrained_superposition,[],[f45818,f24941]) ).
thf(f65157,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_620
| ~ spl2_1043 ),
inference(trivial_inequality_removal,[],[f65148]) ).
thf(f65159,plain,
( ~ spl2_1059
| ~ spl2_620
| ~ spl2_1043 ),
inference(avatar_split_clause,[],[f65157,f45817,f24940,f52916]) ).
thf(f65216,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_1043
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f45818,f59553]) ).
thf(f65237,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_1043
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f65216]) ).
thf(f65275,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1043
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f65237,f85]) ).
thf(f65276,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1043
| ~ spl2_1156 ),
inference(constrained_superposition,[],[f65237,f51]) ).
thf(f65279,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1043
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f65275]) ).
thf(f65281,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_1043
| ~ spl2_1156 ),
inference(trivial_inequality_removal,[],[f65276]) ).
thf(f65283,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f65279,f33857]) ).
thf(f65286,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f65281,f33857]) ).
thf(f65288,plain,
( $false
| spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(forward_subsumption_resolution,[],[f65283,f40]) ).
thf(f65289,plain,
( spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(avatar_contradiction_clause,[],[f65288]) ).
thf(f65290,plain,
( spl2_499
| spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(avatar_split_clause,[],[f65286,f59552,f45817,f30404,f18489]) ).
thf(f65420,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f13265,f84]) ).
thf(f65423,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_179
| ~ spl2_240 ),
inference(constrained_superposition,[],[f13265,f10964]) ).
thf(f65424,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f13265,f194]) ).
thf(f65425,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f13265,f50]) ).
thf(f65426,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f65425]) ).
thf(f65429,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_179
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f65423]) ).
thf(f65430,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f65420]) ).
thf(f65431,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f65424]) ).
thf(f65434,plain,
( ~ spl2_576
| ~ spl2_179
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f65429,f13264,f10963,f21356]) ).
thf(f65441,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f14950,f194]) ).
thf(f65444,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f65441]) ).
thf(f65456,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_733
| ~ spl2_1150 ),
inference(constrained_superposition,[],[f59452,f30913]) ).
thf(f65459,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_1150 ),
inference(constrained_superposition,[],[f59452,f50]) ).
thf(f65461,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_733
| ~ spl2_1150 ),
inference(trivial_inequality_removal,[],[f65456]) ).
thf(f65462,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_1150 ),
inference(trivial_inequality_removal,[],[f65459]) ).
thf(f65536,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_2
| ~ spl2_1047 ),
inference(constrained_superposition,[],[f64803,f46542]) ).
thf(f65537,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_184 ),
inference(constrained_superposition,[],[f64803,f45838]) ).
thf(f65538,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_224 ),
inference(constrained_superposition,[],[f64803,f14113]) ).
thf(f65568,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f65537]) ).
thf(f65569,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_1047 ),
inference(trivial_inequality_removal,[],[f65536]) ).
thf(f65577,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_2
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f65538]) ).
thf(f65583,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f65568,f69]) ).
thf(f65584,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_1047 ),
inference(forward_subsumption_resolution,[],[f65569,f69]) ).
thf(f65585,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f65577,f69]) ).
thf(f65586,plain,
( spl2_34
| ~ spl2_2
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f65583,f11045,f68,f515]) ).
thf(f65587,plain,
( spl2_34
| ~ spl2_2
| ~ spl2_1047 ),
inference(avatar_split_clause,[],[f65584,f46541,f68,f515]) ).
thf(f65588,plain,
( spl2_34
| ~ spl2_2
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f65585,f12828,f68,f515]) ).
thf(f65608,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_694 ),
inference(constrained_superposition,[],[f93,f30326]) ).
thf(f65610,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f65608]) ).
thf(f65614,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_694
| spl2_787 ),
inference(forward_subsumption_resolution,[],[f65610,f51291]) ).
thf(f65615,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_500
| ~ spl2_694
| spl2_787 ),
inference(forward_subsumption_resolution,[],[f65614,f18493]) ).
thf(f65616,plain,
( spl2_792
| ~ spl2_500
| ~ spl2_694
| spl2_787 ),
inference(avatar_split_clause,[],[f65615,f32372,f30325,f18492,f32558]) ).
thf(f65738,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_624 ),
inference(constrained_superposition,[],[f25034,f193]) ).
thf(f65745,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_624 ),
inference(trivial_inequality_removal,[],[f65738]) ).
thf(f65758,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_491
| ~ spl2_779 ),
inference(constrained_superposition,[],[f31981,f18381]) ).
thf(f65759,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_779 ),
inference(constrained_superposition,[],[f31981,f194]) ).
thf(f65760,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_779 ),
inference(constrained_superposition,[],[f31981,f50]) ).
thf(f65764,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_779 ),
inference(trivial_inequality_removal,[],[f65759]) ).
thf(f65768,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_491
| ~ spl2_779 ),
inference(trivial_inequality_removal,[],[f65758]) ).
thf(f65769,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_779 ),
inference(trivial_inequality_removal,[],[f65760]) ).
thf(f65770,plain,
( $false
| ~ spl2_179
| ~ spl2_491
| ~ spl2_779 ),
inference(forward_subsumption_resolution,[],[f65768,f10964]) ).
thf(f65771,plain,
( ~ spl2_179
| ~ spl2_491
| ~ spl2_779 ),
inference(avatar_contradiction_clause,[],[f65770]) ).
thf(f65772,plain,
( spl2_15
| ~ spl2_16
| spl2_192
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63878,f10822,f11077,f309,f283]) ).
thf(f65773,plain,
( spl2_43
| ~ spl2_233
| spl2_9
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63883,f10822,f126,f12929,f579]) ).
thf(f65775,plain,
( spl2_21
| spl2_221
| spl2_192
| spl2_70
| spl2_161 ),
inference(avatar_split_clause,[],[f54120,f10802,f1084,f11077,f12810,f385]) ).
thf(f65776,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f62675,f40]) ).
thf(f65779,plain,
( spl2_503
| ~ spl2_151
| ~ spl2_779 ),
inference(avatar_split_clause,[],[f65769,f31980,f10722,f18530]) ).
thf(f65781,plain,
( spl2_520
| ~ spl2_383
| ~ spl2_624 ),
inference(avatar_split_clause,[],[f65745,f25033,f15449,f18710]) ).
thf(f65782,plain,
( ~ spl2_235
| spl2_520
| ~ spl2_20
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f65054,f24940,f382,f18710,f12939]) ).
thf(f65785,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_186 ),
inference(forward_subsumption_resolution,[],[f63903,f40]) ).
thf(f65787,plain,
( spl2_191
| spl2_70
| spl2_21
| spl2_185
| spl2_22 ),
inference(avatar_split_clause,[],[f38791,f389,f11048,f385,f1084,f11073]) ).
thf(f65788,plain,
( spl2_371
| ~ spl2_166
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f65430,f13264,f10836,f14996]) ).
thf(f65792,plain,
( spl2_192
| ~ spl2_16
| spl2_9
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f63890,f10822,f126,f309,f11077]) ).
thf(f65794,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f65064,f40]) ).
thf(f65796,plain,
( spl2_185
| ~ spl2_569
| spl2_230
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f65050,f24940,f12918,f20183,f11048]) ).
thf(f65797,plain,
( spl2_192
| ~ spl2_151
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f65426,f13264,f10722,f11077]) ).
thf(f65798,plain,
( ~ spl2_383
| ~ spl2_733
| ~ spl2_1150 ),
inference(avatar_split_clause,[],[f65461,f59451,f30912,f15449]) ).
thf(f65800,plain,
( ~ spl2_235
| spl2_184
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f65431,f13264,f11045,f12939]) ).
thf(f65801,plain,
( spl2_21
| spl2_499
| spl2_70
| spl2_714
| spl2_700 ),
inference(avatar_split_clause,[],[f65079,f30404,f30499,f1084,f18489,f385]) ).
thf(f65802,plain,
( spl2_503
| ~ spl2_49
| ~ spl2_1150 ),
inference(avatar_split_clause,[],[f65462,f59451,f700,f18530]) ).
thf(f65804,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_164
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f63892,f12106]) ).
thf(f65806,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_504
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f62697,f18573]) ).
thf(f65807,plain,
( spl2_926
| spl2_163
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f65057,f24940,f10818,f33891]) ).
thf(f65809,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_205
| spl2_511 ),
inference(forward_subsumption_resolution,[],[f65084,f58943]) ).
thf(f65814,plain,
( spl2_503
| spl2_520
| spl2_21
| spl2_70
| spl2_204 ),
inference(avatar_split_clause,[],[f62362,f11530,f1084,f385,f18710,f18530]) ).
thf(f65815,plain,
( ~ spl2_383
| spl2_184
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f65444,f14949,f11045,f15449]) ).
thf(f65818,definition,
( spl2_1213
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1213])],[avatar_definition]) ).
thf(f65819,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_1213 ),
inference(avatar_component_clause,[],[f65818]) ).
thf(f65820,plain,
( spl2_191
| ~ spl2_1213
| ~ spl2_20
| ~ spl2_1142 ),
inference(avatar_split_clause,[],[f64673,f59268,f382,f65818,f11073]) ).
thf(f65821,plain,
( spl2_70
| spl2_15
| ~ spl2_16
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f63768,f411,f309,f283,f1084]) ).
thf(f65823,plain,
( spl2_185
| spl2_154
| spl2_224
| spl2_70
| spl2_22 ),
inference(avatar_split_clause,[],[f38792,f389,f1084,f12828,f10738,f11048]) ).
thf(f65824,plain,
( spl2_1046
| ~ spl2_235
| ~ spl2_779 ),
inference(avatar_split_clause,[],[f65764,f31980,f12939,f46092]) ).
thf(f65826,plain,
( spl2_154
| spl2_506
| spl2_503
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f65776,f30912,f18530,f18548,f10738]) ).
thf(f65828,plain,
( spl2_9
| spl2_192
| spl2_43
| spl2_186 ),
inference(avatar_split_clause,[],[f65785,f11052,f579,f11077,f126]) ).
thf(f65831,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| spl2_504
| ~ spl2_620 ),
inference(forward_subsumption_resolution,[],[f65794,f18573]) ).
thf(f65832,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_164
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f65804,f40]) ).
thf(f65833,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_205
| spl2_504
| spl2_526 ),
inference(forward_subsumption_resolution,[],[f65806,f58943]) ).
thf(f65835,plain,
( spl2_185
| spl2_154
| spl2_503
| spl2_205
| spl2_511 ),
inference(avatar_split_clause,[],[f65809,f18606,f11533,f18530,f10738,f11048]) ).
thf(f65839,plain,
( spl2_185
| spl2_226
| spl2_504
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f65831,f24940,f18540,f12901,f11048]) ).
thf(f65840,plain,
( spl2_43
| spl2_15
| ~ spl2_164
| spl2_175 ),
inference(avatar_split_clause,[],[f65832,f10944,f10822,f283,f579]) ).
thf(f65841,plain,
( spl2_185
| spl2_503
| spl2_205
| spl2_504
| spl2_526 ),
inference(avatar_split_clause,[],[f65833,f18751,f18540,f11533,f18530,f11048]) ).
thf(f65872,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_50 ),
inference(constrained_superposition,[],[f761,f27]) ).
thf(f65874,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_50 ),
inference(trivial_inequality_removal,[],[f65872]) ).
thf(f65998,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_702 ),
inference(constrained_superposition,[],[f63854,f30412]) ).
thf(f66002,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_77
| ~ spl2_702 ),
inference(trivial_inequality_removal,[],[f65998]) ).
thf(f66004,plain,
( spl2_787
| ~ spl2_77
| ~ spl2_702 ),
inference(avatar_split_clause,[],[f66002,f30411,f1345,f32372]) ).
thf(f66201,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_549 ),
inference(constrained_superposition,[],[f19463,f84]) ).
thf(f66211,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f66201]) ).
thf(f66218,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_1065 ),
inference(constrained_superposition,[],[f54104,f194]) ).
thf(f66224,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1065 ),
inference(trivial_inequality_removal,[],[f66218]) ).
thf(f66233,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1213 ),
inference(constrained_superposition,[],[f65819,f193]) ).
thf(f66234,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_1213 ),
inference(constrained_superposition,[],[f65819,f85]) ).
thf(f66235,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_1213 ),
inference(constrained_superposition,[],[f65819,f51]) ).
thf(f66237,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1213 ),
inference(trivial_inequality_removal,[],[f66234]) ).
thf(f66238,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_1213 ),
inference(trivial_inequality_removal,[],[f66235]) ).
thf(f66240,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1213 ),
inference(trivial_inequality_removal,[],[f66233]) ).
thf(f66241,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_1213 ),
inference(forward_subsumption_resolution,[],[f66237,f40]) ).
thf(f66242,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_700
| spl2_1213 ),
inference(forward_subsumption_resolution,[],[f66238,f33857]) ).
thf(f66244,plain,
( $false
| spl2_700
| spl2_1213 ),
inference(forward_subsumption_resolution,[],[f66240,f33857]) ).
thf(f66245,plain,
( spl2_700
| spl2_1213 ),
inference(avatar_contradiction_clause,[],[f66244]) ).
thf(f66246,plain,
( $false
| spl2_700
| spl2_1213 ),
inference(forward_subsumption_resolution,[],[f66241,f33857]) ).
thf(f66247,plain,
( spl2_700
| spl2_1213 ),
inference(avatar_contradiction_clause,[],[f66246]) ).
thf(f66248,plain,
( spl2_499
| spl2_700
| spl2_1213 ),
inference(avatar_split_clause,[],[f66242,f65818,f30404,f18489]) ).
thf(f66252,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_22
| spl2_50 ),
inference(forward_subsumption_resolution,[],[f65874,f10844]) ).
thf(f66254,plain,
( spl2_371
| ~ spl2_16
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f66211,f19462,f309,f14996]) ).
thf(f66255,plain,
( spl2_1058
| spl2_503
| spl2_511
| spl2_205 ),
inference(avatar_split_clause,[],[f62400,f11533,f18606,f18530,f52051]) ).
thf(f66265,plain,
( ~ spl2_49
| spl2_184
| ~ spl2_1065 ),
inference(avatar_split_clause,[],[f66224,f54103,f11045,f700]) ).
thf(f66268,plain,
( spl2_511
| spl2_624
| spl2_154
| spl2_205 ),
inference(avatar_split_clause,[],[f62398,f11533,f10738,f25033,f18606]) ).
thf(f66269,plain,
( spl2_57
| spl2_22
| spl2_50 ),
inference(avatar_split_clause,[],[f66252,f760,f389,f819]) ).
thf(f66277,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_9 ),
inference(constrained_superposition,[],[f127,f215]) ).
thf(f66279,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X1 ) )
| spl2_9 ),
inference(trivial_inequality_removal,[],[f66277]) ).
thf(f66280,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f66279,f40]) ).
thf(f66281,plain,
( spl2_58
| spl2_12
| spl2_9 ),
inference(avatar_split_clause,[],[f66280,f126,f170,f824]) ).
thf(f66287,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_21 ),
inference(constrained_superposition,[],[f500,f215]) ).
thf(f66288,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 ) )
| spl2_21 ),
inference(trivial_inequality_removal,[],[f66287]) ).
thf(f66290,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_21 ),
inference(forward_subsumption_resolution,[],[f66288,f40]) ).
thf(f66291,plain,
( spl2_12
| spl2_86
| spl2_21 ),
inference(avatar_split_clause,[],[f66290,f385,f1565,f170]) ).
thf(f66294,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_176
| ~ spl2_188 ),
inference(constrained_superposition,[],[f10948,f11061]) ).
thf(f66296,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_175
| ~ spl2_188 ),
inference(constrained_superposition,[],[f12106,f11061]) ).
thf(f66303,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_180
| ~ spl2_188 ),
inference(constrained_superposition,[],[f21620,f11061]) ).
thf(f66305,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_188
| spl2_588 ),
inference(constrained_superposition,[],[f22532,f11061]) ).
thf(f66312,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_188
| spl2_205 ),
inference(constrained_superposition,[],[f58943,f11061]) ).
thf(f66320,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f194,f11061]) ).
thf(f66390,plain,
( ~ spl2_69
| ~ spl2_188
| spl2_588 ),
inference(avatar_split_clause,[],[f66305,f22531,f11060,f1078]) ).
thf(f66392,plain,
( spl2_191
| ~ spl2_176
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f66294,f11060,f10947,f11073]) ).
thf(f66394,plain,
( ~ spl2_154
| spl2_175
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f66296,f11060,f10944,f10738]) ).
thf(f66398,plain,
( ~ spl2_235
| spl2_180
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f66303,f11060,f10967,f12939]) ).
thf(f66400,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f66320,f463]) ).
thf(f66405,plain,
( $false
| ~ spl2_188
| spl2_205 ),
inference(forward_subsumption_resolution,[],[f66312,f11061]) ).
thf(f66406,plain,
( ~ spl2_188
| spl2_205 ),
inference(avatar_contradiction_clause,[],[f66405]) ).
thf(f66411,plain,
( spl2_69
| spl2_31
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f66400,f11060,f462,f1078]) ).
thf(f66412,plain,
( spl2_190
| ~ spl2_163
| spl2_164
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f64414,f10947,f10822,f10818,f11070]) ).
thf(f66413,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f195,f18255]) ).
thf(f66414,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f195,f18255]) ).
thf(f66421,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f90,f18255]) ).
thf(f66422,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f90,f18255]) ).
thf(f66423,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f3543,f18255]) ).
thf(f66425,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f89,f18255]) ).
thf(f66426,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_188 ),
inference(extensionality_resolution,[],[f89,f18255]) ).
thf(f66431,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f85,f18255]) ).
thf(f66432,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f85,f18255]) ).
thf(f66435,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f51,f18255]) ).
thf(f66436,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_188 ),
inference(extensionality_resolution,[],[f51,f18255]) ).
thf(f66439,plain,
( spl2_698
| spl2_697
| spl2_188 ),
inference(avatar_split_clause,[],[f66414,f11060,f30337,f30340]) ).
thf(f66440,plain,
( spl2_544
| spl2_178
| spl2_188 ),
inference(avatar_split_clause,[],[f66426,f11060,f10955,f19348]) ).
thf(f66441,plain,
( spl2_491
| spl2_492
| spl2_188 ),
inference(avatar_split_clause,[],[f66432,f11060,f18383,f18380]) ).
thf(f66443,plain,
( spl2_694
| spl2_693
| spl2_188 ),
inference(avatar_split_clause,[],[f66413,f11060,f30322,f30325]) ).
thf(f66444,plain,
( spl2_178
| spl2_179
| spl2_188 ),
inference(avatar_split_clause,[],[f66436,f11060,f10963,f10955]) ).
thf(f66445,plain,
( spl2_489
| spl2_490
| spl2_188 ),
inference(avatar_split_clause,[],[f66431,f11060,f18376,f18373]) ).
thf(f66448,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_57 ),
inference(constrained_superposition,[],[f19339,f215]) ).
thf(f66450,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_57 ),
inference(trivial_inequality_removal,[],[f66448]) ).
thf(f66451,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_22
| spl2_57 ),
inference(forward_subsumption_resolution,[],[f66450,f10844]) ).
thf(f66452,plain,
( spl2_41
| spl2_18
| spl2_22
| spl2_57 ),
inference(avatar_split_clause,[],[f66451,f819,f389,f374,f571]) ).
thf(f66578,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_513 ),
inference(constrained_superposition,[],[f383,f18683]) ).
thf(f66603,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f66578]) ).
thf(f66611,plain,
( ~ spl2_50
| spl2_520
| ~ spl2_20
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f66603,f18682,f382,f18710,f760]) ).
thf(f66661,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f93,f10956]) ).
thf(f66664,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f66661]) ).
thf(f66665,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f66664,f14947]) ).
thf(f66824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_511 ),
inference(constrained_superposition,[],[f93,f18607]) ).
thf(f66826,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f66824]) ).
thf(f66852,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_1058 ),
inference(constrained_superposition,[],[f52052,f84]) ).
thf(f66859,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1058 ),
inference(trivial_inequality_removal,[],[f66852]) ).
thf(f66879,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f363,f18377]) ).
thf(f66884,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f89,f18377]) ).
thf(f66888,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_490 ),
inference(constrained_superposition,[],[f383,f18377]) ).
thf(f66903,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f66884]) ).
thf(f66912,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f66888]) ).
thf(f66915,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f66879]) ).
thf(f66917,plain,
( spl2_497
| spl2_244
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f66903,f18376,f13284,f18479]) ).
thf(f66927,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f363,f18381]) ).
thf(f66932,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f89,f18381]) ).
thf(f66936,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_491 ),
inference(constrained_superposition,[],[f383,f18381]) ).
thf(f66950,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f66936]) ).
thf(f66956,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f66932]) ).
thf(f66962,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f66927]) ).
thf(f66968,plain,
( spl2_529
| spl2_528
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f66956,f18380,f18861,f18864]) ).
thf(f67104,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_1045 ),
inference(constrained_superposition,[],[f45849,f50]) ).
thf(f67111,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1045 ),
inference(trivial_inequality_removal,[],[f67104]) ).
thf(f67117,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_490
| ~ spl2_1136 ),
inference(constrained_superposition,[],[f59198,f18377]) ).
thf(f67118,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1136 ),
inference(constrained_superposition,[],[f59198,f194]) ).
thf(f67122,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_490
| ~ spl2_1136 ),
inference(trivial_inequality_removal,[],[f67117]) ).
thf(f67125,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1136 ),
inference(trivial_inequality_removal,[],[f67118]) ).
thf(f67127,plain,
( $false
| ~ spl2_490
| spl2_504
| ~ spl2_1136 ),
inference(forward_subsumption_resolution,[],[f67122,f18573]) ).
thf(f67128,plain,
( ~ spl2_490
| spl2_504
| ~ spl2_1136 ),
inference(avatar_contradiction_clause,[],[f67127]) ).
thf(f67129,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_21
| ~ spl2_1136 ),
inference(forward_subsumption_resolution,[],[f67125,f500]) ).
thf(f67130,plain,
( $false
| spl2_21
| spl2_184
| ~ spl2_1136 ),
inference(forward_subsumption_resolution,[],[f67129,f11046]) ).
thf(f67131,plain,
( spl2_21
| spl2_184
| ~ spl2_1136 ),
inference(avatar_contradiction_clause,[],[f67130]) ).
thf(f67182,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_692 ),
inference(constrained_superposition,[],[f93,f30316]) ).
thf(f67184,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f67182]) ).
thf(f67187,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_692
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f67184,f30445]) ).
thf(f67188,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_164
| ~ spl2_692
| ~ spl2_710 ),
inference(forward_subsumption_resolution,[],[f67187,f57250]) ).
thf(f67189,plain,
( spl2_1032
| spl2_164
| ~ spl2_692
| ~ spl2_710 ),
inference(avatar_split_clause,[],[f67188,f30444,f30315,f10822,f43161]) ).
thf(f67192,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_695
| ~ spl2_1064 ),
inference(constrained_superposition,[],[f53760,f30331]) ).
thf(f67195,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_695 ),
inference(constrained_superposition,[],[f363,f30331]) ).
thf(f67200,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_695 ),
inference(constrained_superposition,[],[f89,f30331]) ).
thf(f67204,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_695 ),
inference(constrained_superposition,[],[f383,f30331]) ).
thf(f67212,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f67204]) ).
thf(f67217,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f67195]) ).
thf(f67221,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_695
| ~ spl2_1064 ),
inference(trivial_inequality_removal,[],[f67192]) ).
thf(f67231,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f67200]) ).
thf(f67234,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| ~ spl2_695
| spl2_700 ),
inference(forward_subsumption_resolution,[],[f67212,f33857]) ).
thf(f67238,plain,
( ~ spl2_1213
| ~ spl2_695
| ~ spl2_1064 ),
inference(avatar_split_clause,[],[f67221,f53759,f30330,f65818]) ).
thf(f67242,plain,
( spl2_244
| spl2_723
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f67231,f30330,f30741,f13284]) ).
thf(f67244,plain,
( ~ spl2_225
| ~ spl2_20
| ~ spl2_695
| spl2_700 ),
inference(avatar_split_clause,[],[f67234,f30404,f30330,f382,f12897]) ).
thf(f67245,plain,
( ~ spl2_1059
| spl2_221
| ~ spl2_20
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f66950,f18380,f382,f12810,f52916]) ).
thf(f67246,plain,
( spl2_520
| ~ spl2_225
| ~ spl2_20
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f66912,f18376,f382,f12897,f18710]) ).
thf(f67247,plain,
( spl2_723
| spl2_221
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f67217,f30330,f12810,f30741]) ).
thf(f67248,plain,
( spl2_176
| spl2_1025
| spl2_188 ),
inference(avatar_split_clause,[],[f66425,f11060,f41517,f10947]) ).
thf(f67249,plain,
( spl2_176
| spl2_180
| spl2_188 ),
inference(avatar_split_clause,[],[f66435,f11060,f10967,f10947]) ).
thf(f67251,plain,
( spl2_520
| spl2_528
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f66962,f18380,f18861,f18710]) ).
thf(f67252,plain,
( spl2_497
| spl2_221
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f66915,f18376,f12810,f18479]) ).
thf(f67253,plain,
( spl2_166
| spl2_190
| ~ spl2_178
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f66665,f11052,f10955,f11070,f10836]) ).
thf(f67254,plain,
( spl2_513
| ~ spl2_163
| spl2_527
| ~ spl2_511 ),
inference(avatar_split_clause,[],[f66826,f18606,f18782,f10818,f18682]) ).
thf(f67255,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_154
| spl2_188 ),
inference(forward_subsumption_resolution,[],[f66421,f11063]) ).
thf(f67256,plain,
( spl2_231
| spl2_176
| spl2_154
| spl2_188 ),
inference(avatar_split_clause,[],[f67255,f11060,f10738,f10947,f12921]) ).
thf(f67277,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f57,f10837]) ).
thf(f67280,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f89,f10837]) ).
thf(f67282,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f161,f10837]) ).
thf(f67285,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f155,f10837]) ).
thf(f67287,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f154,f10837]) ).
thf(f67290,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f152,f10837]) ).
thf(f67296,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f67285]) ).
thf(f67302,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f67277]) ).
thf(f67303,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f67282]) ).
thf(f67305,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f67287]) ).
thf(f67306,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f67290]) ).
thf(f67309,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f67280]) ).
thf(f67311,plain,
( spl2_361
| spl2_15
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f67296,f10836,f283,f14511]) ).
thf(f67316,plain,
( spl2_15
| spl2_362
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f67306,f10836,f14515,f283]) ).
thf(f67317,plain,
( spl2_360
| spl2_100
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f67309,f10836,f3443,f14507]) ).
thf(f67364,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f59,f10968]) ).
thf(f67366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f89,f10968]) ).
thf(f67367,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f90,f10968]) ).
thf(f67376,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f152,f10968]) ).
thf(f67382,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f67367]) ).
thf(f67387,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f67366]) ).
thf(f67391,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f67376]) ).
thf(f67394,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f67364]) ).
thf(f67401,plain,
( spl2_231
| spl2_230
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f67387,f10967,f12918,f12921]) ).
thf(f67402,plain,
( spl2_232
| spl2_226
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f67391,f10967,f12901,f12925]) ).
thf(f67450,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_1159 ),
inference(constrained_superposition,[],[f59612,f27]) ).
thf(f67459,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1159 ),
inference(trivial_inequality_removal,[],[f67450]) ).
thf(f67466,plain,
( spl2_566
| ~ spl2_1159 ),
inference(avatar_split_clause,[],[f67459,f59611,f20070]) ).
thf(f67503,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(constrained_superposition,[],[f14950,f30331]) ).
thf(f67507,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f67503]) ).
thf(f67522,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(constrained_superposition,[],[f67507,f195]) ).
thf(f67523,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(constrained_superposition,[],[f67507,f85]) ).
thf(f67528,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f67522]) ).
thf(f67529,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f67523]) ).
thf(f67532,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_370
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f67528,f40]) ).
thf(f67533,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_204
| ~ spl2_370
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f67529,f58948]) ).
thf(f67534,plain,
( spl2_727
| ~ spl2_370
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f67532,f30330,f14949,f30869]) ).
thf(f67535,plain,
( spl2_727
| spl2_204
| ~ spl2_370
| ~ spl2_695 ),
inference(avatar_split_clause,[],[f67533,f30330,f14949,f11530,f30869]) ).
thf(f67685,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_697 ),
inference(constrained_superposition,[],[f93,f30338]) ).
thf(f67689,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_697 ),
inference(trivial_inequality_removal,[],[f67685]) ).
thf(f67852,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_1141 ),
inference(constrained_superposition,[],[f59262,f84]) ).
thf(f67857,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_1141 ),
inference(constrained_superposition,[],[f59262,f50]) ).
thf(f67859,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_1141 ),
inference(trivial_inequality_removal,[],[f67857]) ).
thf(f67863,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_1141 ),
inference(trivial_inequality_removal,[],[f67852]) ).
thf(f67869,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_166
| ~ spl2_1141 ),
inference(forward_subsumption_resolution,[],[f67863,f10837]) ).
thf(f67870,plain,
( spl2_713
| ~ spl2_166
| ~ spl2_1141 ),
inference(avatar_split_clause,[],[f67869,f59261,f10836,f30476]) ).
thf(f67872,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_264 ),
inference(constrained_superposition,[],[f19740,f215]) ).
thf(f67874,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_264 ),
inference(trivial_inequality_removal,[],[f67872]) ).
thf(f67875,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| spl2_161
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f67874,f18258]) ).
thf(f67876,plain,
( spl2_316
| spl2_226
| spl2_161
| spl2_264 ),
inference(avatar_split_clause,[],[f67875,f13671,f10802,f12901,f13918]) ).
thf(f67886,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_695
| ~ spl2_1143 ),
inference(constrained_superposition,[],[f59320,f30331]) ).
thf(f67892,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_695
| ~ spl2_1143 ),
inference(trivial_inequality_removal,[],[f67886]) ).
thf(f67899,plain,
( $false
| ~ spl2_180
| ~ spl2_695
| ~ spl2_1143 ),
inference(forward_subsumption_resolution,[],[f67892,f10968]) ).
thf(f67900,plain,
( ~ spl2_180
| ~ spl2_695
| ~ spl2_1143 ),
inference(avatar_contradiction_clause,[],[f67899]) ).
thf(f67985,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_544 ),
inference(constrained_superposition,[],[f19349,f84]) ).
thf(f67995,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f67985]) ).
thf(f68031,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_699
| ~ spl2_1142 ),
inference(constrained_superposition,[],[f30402,f59269]) ).
thf(f68035,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_699
| ~ spl2_1142 ),
inference(trivial_inequality_removal,[],[f68031]) ).
thf(f68042,plain,
( $false
| ~ spl2_180
| ~ spl2_699
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f68035,f10968]) ).
thf(f68043,plain,
( ~ spl2_180
| ~ spl2_699
| ~ spl2_1142 ),
inference(avatar_contradiction_clause,[],[f68042]) ).
thf(f68044,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_723 ),
inference(constrained_superposition,[],[f30742,f193]) ).
thf(f68057,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_723 ),
inference(trivial_inequality_removal,[],[f68044]) ).
thf(f68062,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_713
| ~ spl2_1032 ),
inference(constrained_superposition,[],[f43162,f30477]) ).
thf(f68064,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_1032 ),
inference(constrained_superposition,[],[f43162,f69]) ).
thf(f68071,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_1032 ),
inference(trivial_inequality_removal,[],[f68064]) ).
thf(f68073,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_713
| ~ spl2_1032 ),
inference(trivial_inequality_removal,[],[f68062]) ).
thf(f68080,plain,
( $false
| ~ spl2_2
| ~ spl2_1032 ),
inference(forward_subsumption_resolution,[],[f68071,f69]) ).
thf(f68081,plain,
( ~ spl2_2
| ~ spl2_1032 ),
inference(avatar_contradiction_clause,[],[f68080]) ).
thf(f68083,plain,
( $false
| ~ spl2_371
| ~ spl2_713
| ~ spl2_1032 ),
inference(forward_subsumption_resolution,[],[f68073,f14997]) ).
thf(f68084,plain,
( ~ spl2_371
| ~ spl2_713
| ~ spl2_1032 ),
inference(avatar_contradiction_clause,[],[f68083]) ).
thf(f68092,plain,
( spl2_192
| ~ spl2_49
| ~ spl2_1045 ),
inference(avatar_split_clause,[],[f67111,f45848,f700,f11077]) ).
thf(f68094,plain,
( spl2_178
| spl2_175
| spl2_240
| spl2_188 ),
inference(avatar_split_clause,[],[f66422,f11060,f13264,f10944,f10955]) ).
thf(f68096,plain,
( spl2_860
| spl2_264
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f67995,f19348,f13671,f33531]) ).
thf(f68105,plain,
( ~ spl2_151
| spl2_714
| ~ spl2_1141 ),
inference(avatar_split_clause,[],[f67859,f59261,f30499,f10722]) ).
thf(f68106,plain,
( spl2_700
| ~ spl2_540
| ~ spl2_723 ),
inference(avatar_split_clause,[],[f68057,f30741,f19287,f30404]) ).
thf(f68108,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_21
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f62364,f500]) ).
thf(f68114,plain,
( spl2_154
| ~ spl2_16
| spl2_15
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f67305,f10836,f283,f309,f10738]) ).
thf(f68116,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f67303,f40]) ).
thf(f68117,plain,
( ~ spl2_16
| spl2_501
| ~ spl2_1058 ),
inference(avatar_split_clause,[],[f66859,f52051,f18508,f309]) ).
thf(f68118,plain,
( spl2_9
| spl2_360
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f67302,f10836,f14507,f126]) ).
thf(f68120,plain,
( spl2_243
| spl2_154
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f67382,f10967,f10738,f13278]) ).
thf(f68123,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| spl2_176
| spl2_188 ),
inference(forward_subsumption_resolution,[],[f66423,f22555]) ).
thf(f68124,plain,
( spl2_526
| spl2_504
| spl2_779
| spl2_205 ),
inference(avatar_split_clause,[],[f62399,f11533,f31980,f18540,f18751]) ).
thf(f68125,plain,
( spl2_154
| spl2_245
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f67394,f10967,f13292,f10738]) ).
thf(f68126,plain,
( spl2_513
| spl2_792
| ~ spl2_710
| ~ spl2_697 ),
inference(avatar_split_clause,[],[f67689,f30337,f30444,f32558,f18682]) ).
thf(f68127,plain,
( spl2_503
| ~ spl2_25
| spl2_520
| spl2_21
| spl2_204 ),
inference(avatar_split_clause,[],[f68108,f11530,f385,f18710,f399,f18530]) ).
thf(f68129,plain,
( spl2_43
| spl2_15
| spl2_154
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f68116,f10836,f10738,f283,f579]) ).
thf(f68131,plain,
( spl2_549
| spl2_192
| spl2_176
| spl2_188 ),
inference(avatar_split_clause,[],[f68123,f11060,f10947,f11077,f19462]) ).
thf(f68136,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_43 ),
inference(constrained_superposition,[],[f580,f215]) ).
thf(f68137,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1 = X0 ) )
| spl2_43 ),
inference(trivial_inequality_removal,[],[f68136]) ).
thf(f68140,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| spl2_43 ),
inference(forward_subsumption_resolution,[],[f68137,f40]) ).
thf(f68141,plain,
( spl2_15
| spl2_58
| spl2_43 ),
inference(avatar_split_clause,[],[f68140,f579,f824,f283]) ).
thf(f68148,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| spl2_70 ),
inference(constrained_superposition,[],[f1492,f215]) ).
thf(f68149,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_70 ),
inference(trivial_inequality_removal,[],[f68148]) ).
thf(f68152,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| spl2_70 ),
inference(forward_subsumption_resolution,[],[f68149,f40]) ).
thf(f68154,plain,
( spl2_86
| spl2_18
| spl2_70 ),
inference(avatar_split_clause,[],[f68152,f1084,f374,f1565]) ).
thf(f68215,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f89,f10823]) ).
thf(f68218,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f3543,f10823]) ).
thf(f68221,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f155,f10823]) ).
thf(f68226,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f152,f10823]) ).
thf(f68227,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f163,f10823]) ).
thf(f68231,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f68215]) ).
thf(f68234,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f68227]) ).
thf(f68240,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f68226]) ).
thf(f68243,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f68221]) ).
thf(f68246,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f68218]) ).
thf(f68247,plain,
( spl2_100
| spl2_365
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f68231,f10822,f14791,f3443]) ).
thf(f68248,plain,
( spl2_15
| spl2_367
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f68234,f10822,f14799,f283]) ).
thf(f68249,plain,
( spl2_15
| spl2_366
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f68240,f10822,f14795,f283]) ).
thf(f68250,plain,
( spl2_368
| spl2_15
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f68243,f10822,f283,f14803]) ).
thf(f68261,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| spl2_503 ),
inference(constrained_superposition,[],[f18531,f215]) ).
thf(f68262,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( sK1 = X0 ) )
| spl2_503 ),
inference(trivial_inequality_removal,[],[f68261]) ).
thf(f68265,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_503 ),
inference(forward_subsumption_resolution,[],[f68262,f40]) ).
thf(f68267,plain,
( spl2_506
| spl2_507
| spl2_503 ),
inference(avatar_split_clause,[],[f68265,f18530,f18551,f18548]) ).
thf(f68322,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f3543,f18683]) ).
thf(f68325,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f153,f18683]) ).
thf(f68329,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_513 ),
inference(constrained_superposition,[],[f152,f18683]) ).
thf(f68331,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f68322]) ).
thf(f68343,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f68329]) ).
thf(f68348,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f68325]) ).
thf(f68349,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| spl2_43
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f68331,f580]) ).
thf(f68352,plain,
( spl2_566
| spl2_15
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f68343,f18682,f283,f20070]) ).
thf(f68354,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_503
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f68348,f18531]) ).
thf(f68355,plain,
( ~ spl2_569
| spl2_100
| spl2_43
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f68349,f18682,f579,f3443,f20183]) ).
thf(f68356,plain,
( spl2_15
| ~ spl2_16
| spl2_503
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f68354,f18682,f18530,f309,f283]) ).
thf(f68423,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f89,f10964]) ).
thf(f68428,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f155,f10964]) ).
thf(f68442,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f68428]) ).
thf(f68450,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f68423]) ).
thf(f68456,plain,
( spl2_219
| spl2_243
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f68442,f10963,f13278,f12620]) ).
thf(f68459,plain,
( spl2_240
| spl2_244
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f68450,f10963,f13284,f13264]) ).
thf(f68495,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_723
| ~ spl2_787 ),
inference(constrained_superposition,[],[f30742,f32373]) ).
thf(f68498,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_787 ),
inference(constrained_superposition,[],[f153,f32373]) ).
thf(f68505,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_723
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f68495]) ).
thf(f68511,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f68498]) ).
thf(f68523,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| spl2_714
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f68511,f30500]) ).
thf(f68529,plain,
( spl2_15
| ~ spl2_16
| spl2_714
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f68523,f32372,f30499,f309,f283]) ).
thf(f68611,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_620 ),
inference(constrained_superposition,[],[f89,f24941]) ).
thf(f68623,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_620 ),
inference(trivial_inequality_removal,[],[f68611]) ).
thf(f68643,plain,
( spl2_624
| spl2_230
| ~ spl2_620 ),
inference(avatar_split_clause,[],[f68623,f24940,f12918,f25033]) ).
thf(f68650,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_568
| ~ spl2_733 ),
inference(constrained_superposition,[],[f20176,f30913]) ).
thf(f68652,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_733 ),
inference(constrained_superposition,[],[f363,f30913]) ).
thf(f68677,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f68652]) ).
thf(f68684,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_568
| ~ spl2_733 ),
inference(trivial_inequality_removal,[],[f68650]) ).
thf(f68693,plain,
( $false
| ~ spl2_179
| ~ spl2_568
| ~ spl2_733 ),
inference(forward_subsumption_resolution,[],[f68684,f10964]) ).
thf(f68694,plain,
( ~ spl2_179
| ~ spl2_568
| ~ spl2_733 ),
inference(avatar_contradiction_clause,[],[f68693]) ).
thf(f68921,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_691
| ~ spl2_1207 ),
inference(constrained_superposition,[],[f63408,f30313]) ).
thf(f68922,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_691
| ~ spl2_1141 ),
inference(constrained_superposition,[],[f59262,f30313]) ).
thf(f68934,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_691 ),
inference(constrained_superposition,[],[f383,f30313]) ).
thf(f68959,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_691
| ~ spl2_1207 ),
inference(trivial_inequality_removal,[],[f68921]) ).
thf(f68963,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_691 ),
inference(trivial_inequality_removal,[],[f68934]) ).
thf(f68966,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_691
| ~ spl2_1141 ),
inference(trivial_inequality_removal,[],[f68922]) ).
thf(f68972,plain,
( $false
| ~ spl2_180
| ~ spl2_691
| ~ spl2_1207 ),
inference(forward_subsumption_resolution,[],[f68959,f10968]) ).
thf(f68973,plain,
( ~ spl2_180
| ~ spl2_691
| ~ spl2_1207 ),
inference(avatar_contradiction_clause,[],[f68972]) ).
thf(f68975,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_20
| spl2_221
| ~ spl2_691 ),
inference(forward_subsumption_resolution,[],[f68963,f12811]) ).
thf(f68977,plain,
( $false
| ~ spl2_179
| ~ spl2_691
| ~ spl2_1141 ),
inference(forward_subsumption_resolution,[],[f68966,f10964]) ).
thf(f68978,plain,
( ~ spl2_179
| ~ spl2_691
| ~ spl2_1141 ),
inference(avatar_contradiction_clause,[],[f68977]) ).
thf(f68979,plain,
( ~ spl2_1213
| ~ spl2_20
| spl2_221
| ~ spl2_691 ),
inference(avatar_split_clause,[],[f68975,f30312,f12810,f382,f65818]) ).
thf(f68980,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( sK1 = X0 ) )
| spl2_43
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f68246,f580]) ).
thf(f68981,plain,
( spl2_520
| spl2_779
| ~ spl2_733 ),
inference(avatar_split_clause,[],[f68677,f30912,f31980,f18710]) ).
thf(f68982,plain,
( ~ spl2_241
| ~ spl2_723
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f68505,f32372,f30741,f13268]) ).
thf(f68983,plain,
( spl2_100
| ~ spl2_233
| spl2_43
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f68980,f10822,f579,f12929,f3443]) ).
thf(f68985,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X1 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| spl2_175 ),
inference(constrained_superposition,[],[f12106,f215]) ).
thf(f68986,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_175 ),
inference(trivial_inequality_removal,[],[f68985]) ).
thf(f68988,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f68986,f40]) ).
thf(f68989,plain,
( spl2_213
| spl2_12
| spl2_175 ),
inference(avatar_split_clause,[],[f68988,f10944,f170,f12151]) ).
thf(f68992,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true ) )
| spl2_192 ),
inference(constrained_superposition,[],[f14990,f215]) ).
thf(f68993,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| spl2_192 ),
inference(trivial_inequality_removal,[],[f68992]) ).
thf(f68996,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| spl2_192 ),
inference(forward_subsumption_resolution,[],[f68993,f40]) ).
thf(f68998,plain,
( spl2_213
| spl2_219
| spl2_192 ),
inference(avatar_split_clause,[],[f68996,f11077,f12620,f12151]) ).
thf(f69118,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_695
| ~ spl2_1065 ),
inference(constrained_superposition,[],[f54104,f30331]) ).
thf(f69159,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_695
| ~ spl2_1065 ),
inference(trivial_inequality_removal,[],[f69118]) ).
thf(f69169,plain,
( ~ spl2_1049
| ~ spl2_695
| ~ spl2_1065 ),
inference(avatar_split_clause,[],[f69159,f54103,f30330,f49036]) ).
thf(f69350,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_693
| ~ spl2_779 ),
inference(constrained_superposition,[],[f31981,f30323]) ).
thf(f69356,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_693
| ~ spl2_779 ),
inference(trivial_inequality_removal,[],[f69350]) ).
thf(f69362,plain,
( $false
| ~ spl2_693
| ~ spl2_779
| ~ spl2_1142 ),
inference(forward_subsumption_resolution,[],[f69356,f59269]) ).
thf(f69363,plain,
( ~ spl2_693
| ~ spl2_779
| ~ spl2_1142 ),
inference(avatar_contradiction_clause,[],[f69362]) ).
cnf(s3,plain,
( spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s6,plain,
( spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f172]) ).
cnf(s7,plain,
( spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f220]) ).
cnf(s9,plain,
( ~ spl2_8
| ~ spl2_16
| spl2_17 ),
inference(sat_conversion,[],[f314]) ).
cnf(s11,plain,
( spl2_20
| spl2_21 ),
inference(sat_conversion,[],[f387]) ).
cnf(s27,plain,
( spl2_39
| spl2_40 ),
inference(sat_conversion,[],[f557]) ).
cnf(s28,plain,
( ~ spl2_14
| ~ spl2_21
| spl2_22
| spl2_41 ),
inference(sat_conversion,[],[f573]) ).
cnf(s33,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f590]) ).
cnf(s34,plain,
( ~ spl2_12
| spl2_43 ),
inference(sat_conversion,[],[f596]) ).
cnf(s37,plain,
( ~ spl2_28
| spl2_40 ),
inference(sat_conversion,[],[f624]) ).
cnf(s39,plain,
( spl2_23
| spl2_28 ),
inference(sat_conversion,[],[f631]) ).
cnf(s40,plain,
( ~ spl2_7
| spl2_37
| ~ spl2_39 ),
inference(sat_conversion,[],[f662]) ).
cnf(s47,plain,
( spl2_21
| spl2_49 ),
inference(sat_conversion,[],[f778]) ).
cnf(s56,plain,
( spl2_9
| spl2_51 ),
inference(sat_conversion,[],[f846]) ).
cnf(s58,plain,
( spl2_50
| spl2_57 ),
inference(sat_conversion,[],[f856]) ).
cnf(s65,plain,
( ~ spl2_9
| ~ spl2_21
| ~ spl2_23
| spl2_37 ),
inference(sat_conversion,[],[f944]) ).
cnf(s70,plain,
( spl2_25
| ~ spl2_37
| ~ spl2_43 ),
inference(sat_conversion,[],[f961]) ).
cnf(s71,plain,
( ~ spl2_23
| ~ spl2_30
| spl2_67 ),
inference(sat_conversion,[],[f966]) ).
cnf(s88,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_30
| ~ spl2_37
| spl2_52 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s99,plain,
( ~ spl2_12
| ~ spl2_37
| ~ spl2_43 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s100,plain,
( ~ spl2_9
| ~ spl2_15
| spl2_77
| spl2_78 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s102,plain,
( ~ spl2_18
| spl2_22
| spl2_23 ),
inference(sat_conversion,[],[f1386]) ).
cnf(s108,plain,
( ~ spl2_22
| ~ spl2_30
| ~ spl2_37 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s110,plain,
( spl2_6
| ~ spl2_22
| spl2_82 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s113,plain,
( spl2_20
| ~ spl2_40 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s115,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_23
| spl2_80 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s116,plain,
( ~ spl2_15
| ~ spl2_18
| ~ spl2_21
| spl2_22
| spl2_83 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s117,plain,
( ~ spl2_7
| ~ spl2_18
| ~ spl2_21
| spl2_83 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s119,plain,
( ~ spl2_18
| ~ spl2_23
| spl2_32 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s120,plain,
( ~ spl2_21
| ~ spl2_23
| spl2_34
| ~ spl2_43 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s121,plain,
( spl2_18
| ~ spl2_25
| spl2_85 ),
inference(sat_conversion,[],[f1562]) ).
cnf(s134,plain,
( ~ spl2_7
| ~ spl2_15
| spl2_22
| ~ spl2_73
| spl2_91 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s137,plain,
( ~ spl2_1
| spl2_13 ),
inference(sat_conversion,[],[f1905]) ).
cnf(s143,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_26
| spl2_93 ),
inference(sat_conversion,[],[f2070]) ).
cnf(s144,plain,
( ~ spl2_25
| ~ spl2_37
| spl2_75
| ~ spl2_85 ),
inference(sat_conversion,[],[f2294]) ).
cnf(s152,plain,
( ~ spl2_37
| ~ spl2_40
| spl2_70
| spl2_98 ),
inference(sat_conversion,[],[f3367]) ).
cnf(s153,plain,
( ~ spl2_28
| ~ spl2_82
| spl2_100 ),
inference(sat_conversion,[],[f3446]) ).
cnf(s162,plain,
( ~ spl2_9
| spl2_77
| ~ spl2_100
| spl2_108 ),
inference(sat_conversion,[],[f3744]) ).
cnf(s169,plain,
( ~ spl2_7
| ~ spl2_9
| spl2_77
| spl2_111 ),
inference(sat_conversion,[],[f5594]) ).
cnf(s173,plain,
( ~ spl2_40
| spl2_70
| spl2_114 ),
inference(sat_conversion,[],[f5962]) ).
cnf(s174,plain,
( ~ spl2_40
| spl2_70
| spl2_115 ),
inference(sat_conversion,[],[f5966]) ).
cnf(s182,plain,
( ~ spl2_9
| ~ spl2_15
| spl2_22
| ~ spl2_86
| ~ spl2_100
| spl2_120 ),
inference(sat_conversion,[],[f6010]) ).
cnf(s187,plain,
( ~ spl2_9
| ~ spl2_86
| ~ spl2_100
| spl2_120 ),
inference(sat_conversion,[],[f6015]) ).
cnf(s188,plain,
( spl2_70
| spl2_122
| spl2_123 ),
inference(sat_conversion,[],[f6022]) ).
cnf(s189,plain,
( ~ spl2_37
| ~ spl2_43
| ~ spl2_70 ),
inference(sat_conversion,[],[f6053]) ).
cnf(s190,plain,
( ~ spl2_70
| ~ spl2_108 ),
inference(sat_conversion,[],[f6058]) ).
cnf(s191,plain,
( spl2_22
| ~ spl2_70
| ~ spl2_78 ),
inference(sat_conversion,[],[f6059]) ).
cnf(s192,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| spl2_22
| ~ spl2_43
| ~ spl2_70 ),
inference(sat_conversion,[],[f6067]) ).
cnf(s193,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_70
| spl2_77 ),
inference(sat_conversion,[],[f6069]) ).
cnf(s194,plain,
( ~ spl2_9
| ~ spl2_21
| ~ spl2_43
| ~ spl2_70
| ~ spl2_100 ),
inference(sat_conversion,[],[f6071]) ).
cnf(s195,plain,
( ~ spl2_73
| spl2_122 ),
inference(sat_conversion,[],[f6088]) ).
cnf(s226,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| spl2_22
| ~ spl2_73
| spl2_133 ),
inference(sat_conversion,[],[f6684]) ).
cnf(s236,plain,
( ~ spl2_9
| ~ spl2_21
| ~ spl2_100
| ~ spl2_114
| spl2_134 ),
inference(sat_conversion,[],[f6808]) ).
cnf(s247,plain,
( spl2_12
| spl2_139 ),
inference(sat_conversion,[],[f8171]) ).
cnf(s248,plain,
( ~ spl2_25
| ~ spl2_40
| spl2_140 ),
inference(sat_conversion,[],[f8269]) ).
cnf(s260,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| spl2_22
| ~ spl2_140
| spl2_144 ),
inference(sat_conversion,[],[f8359]) ).
cnf(s262,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_140
| spl2_146 ),
inference(sat_conversion,[],[f8362]) ).
cnf(s266,plain,
( ~ spl2_142
| spl2_144 ),
inference(sat_conversion,[],[f8448]) ).
cnf(s314,plain,
( ~ spl2_1
| spl2_22
| ~ spl2_151
| spl2_175
| spl2_176 ),
inference(sat_conversion,[],[f10949]) ).
cnf(s316,plain,
( ~ spl2_1
| spl2_22
| spl2_154
| spl2_175
| spl2_178 ),
inference(sat_conversion,[],[f10957]) ).
cnf(s317,plain,
( spl2_22
| ~ spl2_139
| ~ spl2_151
| spl2_175
| spl2_178 ),
inference(sat_conversion,[],[f10959]) ).
cnf(s321,plain,
( ~ spl2_1
| spl2_22
| spl2_154
| spl2_175
| spl2_176 ),
inference(sat_conversion,[],[f10970]) ).
cnf(s337,plain,
( ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_100
| ~ spl2_176
| ~ spl2_186
| spl2_197 ),
inference(sat_conversion,[],[f11107]) ).
cnf(s339,plain,
( ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_176
| ~ spl2_186
| spl2_198 ),
inference(sat_conversion,[],[f11113]) ).
cnf(s344,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| spl2_22
| ~ spl2_115
| spl2_161
| ~ spl2_176
| ~ spl2_186 ),
inference(sat_conversion,[],[f11119]) ).
cnf(s377,plain,
( spl2_163
| spl2_166 ),
inference(sat_conversion,[],[f11496]) ).
cnf(s378,plain,
( ~ spl2_77
| spl2_164
| ~ spl2_175 ),
inference(sat_conversion,[],[f11525]) ).
cnf(s381,plain,
( ~ spl2_83
| ~ spl2_100
| ~ spl2_175
| spl2_205 ),
inference(sat_conversion,[],[f11537]) ).
cnf(s388,plain,
( ~ spl2_20
| spl2_68
| spl2_69
| ~ spl2_205 ),
inference(sat_conversion,[],[f11836]) ).
cnf(s391,plain,
( ~ spl2_1
| spl2_154
| ~ spl2_205
| spl2_207 ),
inference(sat_conversion,[],[f11841]) ).
cnf(s396,plain,
( spl2_31
| spl2_69
| ~ spl2_205 ),
inference(sat_conversion,[],[f11854]) ).
cnf(s400,plain,
( spl2_23
| spl2_69
| spl2_171
| ~ spl2_205 ),
inference(sat_conversion,[],[f11859]) ).
cnf(s408,plain,
( spl2_69
| spl2_70
| ~ spl2_73
| spl2_161
| ~ spl2_205 ),
inference(sat_conversion,[],[f11872]) ).
cnf(s409,plain,
( ~ spl2_25
| spl2_69
| ~ spl2_73
| ~ spl2_205 ),
inference(sat_conversion,[],[f11873]) ).
cnf(s410,plain,
( spl2_151
| spl2_154 ),
inference(sat_conversion,[],[f11879]) ).
cnf(s413,plain,
( ~ spl2_77
| ~ spl2_154
| spl2_166 ),
inference(sat_conversion,[],[f11909]) ).
cnf(s415,plain,
( ~ spl2_15
| ~ spl2_83
| ~ spl2_154
| spl2_161
| spl2_188 ),
inference(sat_conversion,[],[f11915]) ).
cnf(s416,plain,
( ~ spl2_83
| ~ spl2_100
| ~ spl2_154
| spl2_188 ),
inference(sat_conversion,[],[f11918]) ).
cnf(s418,plain,
( ~ spl2_15
| spl2_78
| ~ spl2_154
| spl2_166 ),
inference(sat_conversion,[],[f11923]) ).
cnf(s419,plain,
( ~ spl2_2
| spl2_70 ),
inference(sat_conversion,[],[f11973]) ).
cnf(s420,plain,
( ~ spl2_2
| ~ spl2_37
| ~ spl2_43 ),
inference(sat_conversion,[],[f11993]) ).
cnf(s427,plain,
( spl2_175
| spl2_177 ),
inference(sat_conversion,[],[f12067]) ).
cnf(s429,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_43
| ~ spl2_175
| ~ spl2_192
| spl2_204 ),
inference(sat_conversion,[],[f12107]) ).
cnf(s430,plain,
( ~ spl2_108
| ~ spl2_192 ),
inference(sat_conversion,[],[f12110]) ).
cnf(s431,plain,
( ~ spl2_43
| ~ spl2_93
| ~ spl2_192 ),
inference(sat_conversion,[],[f12118]) ).
cnf(s434,plain,
( ~ spl2_43
| ~ spl2_146
| ~ spl2_192 ),
inference(sat_conversion,[],[f12126]) ).
cnf(s438,plain,
( ~ spl2_43
| ~ spl2_120
| ~ spl2_192
| spl2_205 ),
inference(sat_conversion,[],[f12133]) ).
cnf(s439,plain,
( ~ spl2_9
| ~ spl2_43
| ~ spl2_100
| ~ spl2_175
| ~ spl2_192 ),
inference(sat_conversion,[],[f12134]) ).
cnf(s478,plain,
( spl2_22
| ~ spl2_26
| spl2_154
| ~ spl2_194 ),
inference(sat_conversion,[],[f12445]) ).
cnf(s493,plain,
( ~ spl2_26
| spl2_154
| spl2_191 ),
inference(sat_conversion,[],[f12548]) ).
cnf(s496,plain,
( ~ spl2_85
| spl2_185
| spl2_191 ),
inference(sat_conversion,[],[f12557]) ).
cnf(s499,plain,
( spl2_22
| ~ spl2_115
| spl2_154
| spl2_191 ),
inference(sat_conversion,[],[f12567]) ).
cnf(s500,plain,
( ~ spl2_73
| spl2_185
| spl2_191 ),
inference(sat_conversion,[],[f12569]) ).
cnf(s501,plain,
( ~ spl2_140
| spl2_154
| spl2_191 ),
inference(sat_conversion,[],[f12571]) ).
cnf(s502,plain,
( spl2_22
| ~ spl2_73
| spl2_185
| spl2_191 ),
inference(sat_conversion,[],[f12573]) ).
cnf(s504,plain,
( ~ spl2_9
| spl2_18
| ~ spl2_43
| spl2_70
| ~ spl2_100
| spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f12578]) ).
cnf(s508,plain,
( ~ spl2_75
| spl2_184
| spl2_192 ),
inference(sat_conversion,[],[f12614]) ).
cnf(s516,plain,
( ~ spl2_108
| ~ spl2_185 ),
inference(sat_conversion,[],[f12682]) ).
cnf(s517,plain,
( ~ spl2_43
| ~ spl2_93
| ~ spl2_185 ),
inference(sat_conversion,[],[f12695]) ).
cnf(s518,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_43
| ~ spl2_100
| ~ spl2_185
| spl2_195 ),
inference(sat_conversion,[],[f12696]) ).
cnf(s525,plain,
( ~ spl2_43
| ~ spl2_146
| ~ spl2_185 ),
inference(sat_conversion,[],[f12709]) ).
cnf(s527,plain,
( ~ spl2_43
| ~ spl2_120
| ~ spl2_185
| spl2_188 ),
inference(sat_conversion,[],[f12712]) ).
cnf(s534,plain,
( ~ spl2_85
| ~ spl2_178
| spl2_185
| spl2_190
| ~ spl2_221 ),
inference(sat_conversion,[],[f12812]) ).
cnf(s535,plain,
( ~ spl2_93
| ~ spl2_163
| ~ spl2_178 ),
inference(sat_conversion,[],[f12814]) ).
cnf(s537,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_15
| ~ spl2_115
| spl2_161
| ~ spl2_163
| ~ spl2_178
| spl2_204 ),
inference(sat_conversion,[],[f12819]) ).
cnf(s544,plain,
( ~ spl2_120
| ~ spl2_163
| ~ spl2_178
| spl2_205 ),
inference(sat_conversion,[],[f12834]) ).
cnf(s559,plain,
( ~ spl2_40
| ~ spl2_180
| spl2_221
| ~ spl2_235 ),
inference(sat_conversion,[],[f12947]) ).
cnf(s561,plain,
( spl2_175
| ~ spl2_180
| spl2_185
| spl2_226 ),
inference(sat_conversion,[],[f12949]) ).
cnf(s562,plain,
( spl2_192
| spl2_233 ),
inference(sat_conversion,[],[f12955]) ).
cnf(s565,plain,
( ~ spl2_85
| ~ spl2_176
| spl2_190
| ~ spl2_191
| spl2_192 ),
inference(sat_conversion,[],[f13053]) ).
cnf(s566,plain,
( ~ spl2_26
| spl2_175
| ~ spl2_176
| spl2_190
| ~ spl2_191 ),
inference(sat_conversion,[],[f13055]) ).
cnf(s569,plain,
( ~ spl2_176
| ~ spl2_211
| ~ spl2_221 ),
inference(sat_conversion,[],[f13119]) ).
cnf(s570,plain,
( ~ spl2_7
| ~ spl2_211 ),
inference(sat_conversion,[],[f13121]) ).
cnf(s577,plain,
( ~ spl2_26
| spl2_154
| ~ spl2_178
| spl2_190
| ~ spl2_221 ),
inference(sat_conversion,[],[f13136]) ).
cnf(s583,plain,
( ~ spl2_111
| spl2_185
| spl2_188
| spl2_224
| spl2_226 ),
inference(sat_conversion,[],[f13181]) ).
cnf(s586,plain,
( ~ spl2_26
| spl2_175
| ~ spl2_176
| spl2_190
| ~ spl2_191 ),
inference(sat_conversion,[],[f13187]) ).
cnf(s587,plain,
( ~ spl2_21
| ~ spl2_75
| ~ spl2_175
| spl2_183
| spl2_192 ),
inference(sat_conversion,[],[f13210]) ).
cnf(s590,plain,
( ~ spl2_37
| ~ spl2_85
| ~ spl2_179
| spl2_192
| spl2_240 ),
inference(sat_conversion,[],[f13271]) ).
cnf(s601,plain,
( spl2_185
| spl2_234 ),
inference(sat_conversion,[],[f13304]) ).
cnf(s603,plain,
( spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f13305]) ).
cnf(s611,plain,
( spl2_23
| spl2_251 ),
inference(sat_conversion,[],[f13334]) ).
cnf(s623,plain,
( spl2_164
| spl2_186 ),
inference(sat_conversion,[],[f13364]) ).
cnf(s628,plain,
( ~ spl2_15
| spl2_161
| spl2_164
| ~ spl2_176
| spl2_194 ),
inference(sat_conversion,[],[f13381]) ).
cnf(s631,plain,
( ~ spl2_21
| spl2_28
| ~ spl2_77 ),
inference(sat_conversion,[],[f13394]) ).
cnf(s632,plain,
( ~ spl2_15
| ~ spl2_100
| spl2_161
| spl2_164
| ~ spl2_176
| spl2_189 ),
inference(sat_conversion,[],[f13400]) ).
cnf(s636,plain,
( ~ spl2_23
| ~ spl2_75
| ~ spl2_120
| spl2_246 ),
inference(sat_conversion,[],[f13412]) ).
cnf(s637,plain,
( ~ spl2_9
| ~ spl2_15
| ~ spl2_21
| spl2_22
| spl2_166
| ~ spl2_191 ),
inference(sat_conversion,[],[f13414]) ).
cnf(s639,plain,
( ~ spl2_15
| spl2_78
| spl2_164
| ~ spl2_175 ),
inference(sat_conversion,[],[f13416]) ).
cnf(s642,plain,
( ~ spl2_15
| ~ spl2_100
| spl2_108
| spl2_164
| ~ spl2_175 ),
inference(sat_conversion,[],[f13425]) ).
cnf(s643,plain,
( ~ spl2_15
| ~ spl2_21
| spl2_28
| spl2_78 ),
inference(sat_conversion,[],[f13426]) ).
cnf(s726,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_26
| ~ spl2_37
| spl2_52 ),
inference(sat_conversion,[],[f13837]) ).
cnf(s727,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_98
| spl2_297 ),
inference(sat_conversion,[],[f13841]) ).
cnf(s745,plain,
( spl2_85
| ~ spl2_122 ),
inference(sat_conversion,[],[f13912]) ).
cnf(s789,plain,
( ~ spl2_26
| ~ spl2_69
| spl2_154
| ~ spl2_191
| spl2_211 ),
inference(sat_conversion,[],[f14067]) ).
cnf(s793,plain,
( spl2_20
| spl2_123 ),
inference(sat_conversion,[],[f14077]) ).
cnf(s804,plain,
( spl2_8
| ~ spl2_82 ),
inference(sat_conversion,[],[f14169]) ).
cnf(s808,plain,
( spl2_22
| ~ spl2_56
| spl2_57
| ~ spl2_82 ),
inference(sat_conversion,[],[f14183]) ).
cnf(s811,plain,
( ~ spl2_172
| ~ spl2_191 ),
inference(sat_conversion,[],[f14209]) ).
cnf(s812,plain,
( ~ spl2_140
| spl2_153
| ~ spl2_172 ),
inference(sat_conversion,[],[f14218]) ).
cnf(s847,plain,
( ~ spl2_23
| ~ spl2_37
| ~ spl2_69 ),
inference(sat_conversion,[],[f14467]) ).
cnf(s848,plain,
( ~ spl2_69
| spl2_169 ),
inference(sat_conversion,[],[f14468]) ).
cnf(s849,plain,
( ~ spl2_21
| ~ spl2_69
| spl2_172 ),
inference(sat_conversion,[],[f14469]) ).
cnf(s850,plain,
( spl2_28
| ~ spl2_69
| spl2_172 ),
inference(sat_conversion,[],[f14471]) ).
cnf(s897,plain,
( ~ spl2_9
| ~ spl2_34
| ~ spl2_57 ),
inference(sat_conversion,[],[f14830]) ).
cnf(s899,plain,
( ~ spl2_39
| ~ spl2_80
| spl2_258 ),
inference(sat_conversion,[],[f14863]) ).
cnf(s909,plain,
( ~ spl2_164
| ~ spl2_179
| ~ spl2_360 ),
inference(sat_conversion,[],[f14946]) ).
cnf(s912,plain,
( ~ spl2_179
| spl2_186
| ~ spl2_360 ),
inference(sat_conversion,[],[f14965]) ).
cnf(s913,plain,
( ~ spl2_133
| ~ spl2_179
| spl2_192
| ~ spl2_360 ),
inference(sat_conversion,[],[f14966]) ).
cnf(s917,plain,
( ~ spl2_37
| ~ spl2_56
| spl2_161
| ~ spl2_186
| spl2_371 ),
inference(sat_conversion,[],[f14999]) ).
cnf(s921,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_206 ),
inference(sat_conversion,[],[f15026]) ).
cnf(s926,plain,
( spl2_191
| spl2_235 ),
inference(sat_conversion,[],[f15041]) ).
cnf(s928,plain,
( spl2_22
| spl2_191
| spl2_235 ),
inference(sat_conversion,[],[f15043]) ).
cnf(s937,plain,
( spl2_18
| spl2_70
| ~ spl2_111
| spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f15102]) ).
cnf(s939,plain,
( ~ spl2_175
| ~ spl2_176
| ~ spl2_212 ),
inference(sat_conversion,[],[f15121]) ).
cnf(s940,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_212 ),
inference(sat_conversion,[],[f15123]) ).
cnf(s943,plain,
( ~ spl2_86
| spl2_154
| spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f15131]) ).
cnf(s947,plain,
( ~ spl2_164
| spl2_166
| ~ spl2_188 ),
inference(sat_conversion,[],[f15216]) ).
cnf(s958,plain,
( ~ spl2_175
| spl2_204
| ~ spl2_258 ),
inference(sat_conversion,[],[f15269]) ).
cnf(s963,plain,
( ~ spl2_18
| ~ spl2_21
| spl2_97 ),
inference(sat_conversion,[],[f15311]) ).
cnf(s964,plain,
( ~ spl2_18
| spl2_28
| spl2_32 ),
inference(sat_conversion,[],[f15312]) ).
cnf(s965,plain,
( ~ spl2_164
| ~ spl2_350
| spl2_371 ),
inference(sat_conversion,[],[f15348]) ).
cnf(s972,plain,
( ~ spl2_39
| ~ spl2_190 ),
inference(sat_conversion,[],[f15424]) ).
cnf(s975,plain,
( ~ spl2_164
| ~ spl2_227
| ~ spl2_231 ),
inference(sat_conversion,[],[f15447]) ).
cnf(s976,plain,
( spl2_221
| ~ spl2_231
| ~ spl2_383 ),
inference(sat_conversion,[],[f15451]) ).
cnf(s977,plain,
( spl2_227
| spl2_264 ),
inference(sat_conversion,[],[f15458]) ).
cnf(s980,plain,
( spl2_263
| ~ spl2_264 ),
inference(sat_conversion,[],[f15467]) ).
cnf(s984,plain,
( spl2_22
| ~ spl2_98
| spl2_154
| spl2_166 ),
inference(sat_conversion,[],[f15508]) ).
cnf(s985,plain,
( ~ spl2_144
| spl2_154
| spl2_166 ),
inference(sat_conversion,[],[f15510]) ).
cnf(s989,plain,
( ~ spl2_163
| spl2_261 ),
inference(sat_conversion,[],[f15522]) ).
cnf(s990,plain,
( ~ spl2_134
| spl2_154
| ~ spl2_163
| spl2_188 ),
inference(sat_conversion,[],[f15524]) ).
cnf(s993,plain,
( ~ spl2_37
| ~ spl2_186
| ~ spl2_221 ),
inference(sat_conversion,[],[f15544]) ).
cnf(s994,plain,
( ~ spl2_34
| ~ spl2_175
| ~ spl2_221 ),
inference(sat_conversion,[],[f15546]) ).
cnf(s997,plain,
( ~ spl2_78
| ~ spl2_192
| spl2_204 ),
inference(sat_conversion,[],[f15560]) ).
cnf(s999,plain,
( spl2_232
| ~ spl2_370 ),
inference(sat_conversion,[],[f15604]) ).
cnf(s1016,plain,
( ~ spl2_13
| ~ spl2_43
| spl2_212
| ~ spl2_261
| spl2_391 ),
inference(sat_conversion,[],[f16005]) ).
cnf(s1020,plain,
( ~ spl2_18
| ~ spl2_175
| spl2_205
| spl2_393 ),
inference(sat_conversion,[],[f16055]) ).
cnf(s1021,plain,
( ~ spl2_39
| ~ spl2_175
| spl2_393 ),
inference(sat_conversion,[],[f16056]) ).
cnf(s1023,plain,
( ~ spl2_18
| ~ spl2_176
| spl2_205
| spl2_395 ),
inference(sat_conversion,[],[f16117]) ).
cnf(s1025,plain,
( ~ spl2_39
| ~ spl2_176
| spl2_395 ),
inference(sat_conversion,[],[f16122]) ).
cnf(s1097,plain,
( spl2_154
| ~ spl2_226 ),
inference(sat_conversion,[],[f16976]) ).
cnf(s1098,plain,
( spl2_188
| spl2_191
| ~ spl2_226 ),
inference(sat_conversion,[],[f16977]) ).
cnf(s1101,plain,
( ~ spl2_175
| ~ spl2_226
| spl2_459
| spl2_463 ),
inference(sat_conversion,[],[f16990]) ).
cnf(s1103,plain,
( ~ spl2_179
| ~ spl2_227
| ~ spl2_386 ),
inference(sat_conversion,[],[f16993]) ).
cnf(s1104,plain,
( ~ spl2_179
| spl2_264
| spl2_464 ),
inference(sat_conversion,[],[f16997]) ).
cnf(s1105,plain,
( ~ spl2_227
| ~ spl2_370
| spl2_371 ),
inference(sat_conversion,[],[f16998]) ).
cnf(s1110,plain,
( ~ spl2_17
| ~ spl2_21
| spl2_28
| ~ spl2_39
| spl2_76 ),
inference(sat_conversion,[],[f17099]) ).
cnf(s1116,plain,
( spl2_185
| spl2_188
| ~ spl2_246 ),
inference(sat_conversion,[],[f17232]) ).
cnf(s1120,plain,
( spl2_186
| ~ spl2_244 ),
inference(sat_conversion,[],[f17301]) ).
cnf(s1122,plain,
( spl2_161
| spl2_221
| ~ spl2_244 ),
inference(sat_conversion,[],[f17307]) ).
cnf(s1127,plain,
( ~ spl2_43
| ~ spl2_192
| spl2_206
| ~ spl2_244 ),
inference(sat_conversion,[],[f17320]) ).
cnf(s1128,plain,
( spl2_186
| spl2_204
| ~ spl2_219 ),
inference(sat_conversion,[],[f17380]) ).
cnf(s1131,plain,
( spl2_205
| ~ spl2_219
| spl2_221 ),
inference(sat_conversion,[],[f17384]) ).
cnf(s1135,plain,
( ~ spl2_32
| spl2_205
| ~ spl2_219
| spl2_469 ),
inference(sat_conversion,[],[f17388]) ).
cnf(s1137,plain,
( ~ spl2_34
| ~ spl2_175
| spl2_205
| ~ spl2_219 ),
inference(sat_conversion,[],[f17390]) ).
cnf(s1191,plain,
( ~ spl2_8
| spl2_186
| spl2_204
| ~ spl2_490
| spl2_499
| spl2_500 ),
inference(sat_conversion,[],[f18497]) ).
cnf(s1194,plain,
( ~ spl2_386
| ~ spl2_490
| spl2_501 ),
inference(sat_conversion,[],[f18511]) ).
cnf(s1200,plain,
( ~ spl2_9
| ~ spl2_139
| spl2_154
| spl2_205
| ~ spl2_263
| ~ spl2_501
| spl2_509 ),
inference(sat_conversion,[],[f18578]) ).
cnf(s1201,plain,
( ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_501
| spl2_509
| spl2_510 ),
inference(sat_conversion,[],[f18582]) ).
cnf(s1202,plain,
( ~ spl2_9
| ~ spl2_501
| ~ spl2_504
| spl2_509 ),
inference(sat_conversion,[],[f18583]) ).
cnf(s1204,plain,
( spl2_12
| spl2_504
| spl2_507 ),
inference(sat_conversion,[],[f18597]) ).
cnf(s1205,plain,
( ~ spl2_1
| spl2_504
| spl2_507 ),
inference(sat_conversion,[],[f18598]) ).
cnf(s1207,plain,
( spl2_161
| ~ spl2_370
| ~ spl2_490
| spl2_511 ),
inference(sat_conversion,[],[f18609]) ).
cnf(s1208,plain,
( ~ spl2_370
| ~ spl2_490
| spl2_510
| spl2_511 ),
inference(sat_conversion,[],[f18610]) ).
cnf(s1212,plain,
( ~ spl2_32
| ~ spl2_506
| spl2_508
| spl2_516 ),
inference(sat_conversion,[],[f18695]) ).
cnf(s1213,plain,
( spl2_504
| ~ spl2_506 ),
inference(sat_conversion,[],[f18697]) ).
cnf(s1214,plain,
( ~ spl2_175
| ~ spl2_506
| spl2_517
| spl2_518 ),
inference(sat_conversion,[],[f18705]) ).
cnf(s1216,plain,
( ~ spl2_176
| ~ spl2_506
| spl2_517
| spl2_521 ),
inference(sat_conversion,[],[f18716]) ).
cnf(s1222,plain,
( ~ spl2_183
| ~ spl2_506
| spl2_517
| ~ spl2_520 ),
inference(sat_conversion,[],[f18734]) ).
cnf(s1225,plain,
( spl2_205
| ~ spl2_211
| ~ spl2_374
| spl2_503
| ~ spl2_506
| spl2_508 ),
inference(sat_conversion,[],[f18740]) ).
cnf(s1226,plain,
( ~ spl2_37
| ~ spl2_500
| ~ spl2_506
| spl2_508 ),
inference(sat_conversion,[],[f18741]) ).
cnf(s1229,plain,
( spl2_161
| ~ spl2_240
| ~ spl2_490
| spl2_526 ),
inference(sat_conversion,[],[f18754]) ).
cnf(s1232,plain,
( ~ spl2_211
| ~ spl2_511
| ~ spl2_520 ),
inference(sat_conversion,[],[f18778]) ).
cnf(s1236,plain,
( ~ spl2_261
| ~ spl2_500
| ~ spl2_526
| spl2_527 ),
inference(sat_conversion,[],[f18811]) ).
cnf(s1245,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_509 ),
inference(sat_conversion,[],[f18916]) ).
cnf(s1246,plain,
( ~ spl2_163
| ~ spl2_509
| ~ spl2_526 ),
inference(sat_conversion,[],[f18919]) ).
cnf(s1248,plain,
( ~ spl2_18
| ~ spl2_23
| spl2_508
| ~ spl2_509 ),
inference(sat_conversion,[],[f18931]) ).
cnf(s1249,plain,
( ~ spl2_23
| ~ spl2_123
| spl2_204
| ~ spl2_509 ),
inference(sat_conversion,[],[f18934]) ).
cnf(s1252,plain,
( ~ spl2_163
| ~ spl2_391
| spl2_504
| ~ spl2_509
| spl2_510 ),
inference(sat_conversion,[],[f18941]) ).
cnf(s1253,plain,
( ~ spl2_263
| ~ spl2_501
| spl2_509
| ~ spl2_511 ),
inference(sat_conversion,[],[f18943]) ).
cnf(s1256,plain,
( spl2_6
| ~ spl2_499
| ~ spl2_500 ),
inference(sat_conversion,[],[f19079]) ).
cnf(s1259,plain,
( ~ spl2_43
| ~ spl2_499
| spl2_503 ),
inference(sat_conversion,[],[f19093]) ).
cnf(s1261,plain,
( ~ spl2_23
| spl2_28
| ~ spl2_39
| spl2_172
| ~ spl2_499 ),
inference(sat_conversion,[],[f19098]) ).
cnf(s1264,plain,
( spl2_40
| spl2_69
| ~ spl2_499 ),
inference(sat_conversion,[],[f19102]) ).
cnf(s1269,plain,
( spl2_6
| spl2_82
| ~ spl2_499 ),
inference(sat_conversion,[],[f19113]) ).
cnf(s1270,plain,
( spl2_6
| ~ spl2_8
| spl2_350
| ~ spl2_499 ),
inference(sat_conversion,[],[f19114]) ).
cnf(s1271,plain,
( ~ spl2_43
| spl2_77
| spl2_82
| ~ spl2_499 ),
inference(sat_conversion,[],[f19115]) ).
cnf(s1272,plain,
( ~ spl2_176
| ~ spl2_489
| spl2_521 ),
inference(sat_conversion,[],[f19138]) ).
cnf(s1273,plain,
( ~ spl2_175
| ~ spl2_489
| spl2_518 ),
inference(sat_conversion,[],[f19139]) ).
cnf(s1274,plain,
( ~ spl2_39
| ~ spl2_527 ),
inference(sat_conversion,[],[f19163]) ).
cnf(s1279,plain,
( ~ spl2_164
| spl2_501
| ~ spl2_528 ),
inference(sat_conversion,[],[f19215]) ).
cnf(s1287,plain,
( ~ spl2_192
| ~ spl2_489
| spl2_502
| ~ spl2_503 ),
inference(sat_conversion,[],[f19274]) ).
cnf(s1289,plain,
( ~ spl2_175
| ~ spl2_192
| ~ spl2_492
| ~ spl2_503
| ~ spl2_504 ),
inference(sat_conversion,[],[f19277]) ).
cnf(s1290,plain,
( ~ spl2_39
| ~ spl2_139
| spl2_154
| spl2_205
| ~ spl2_395
| ~ spl2_492
| spl2_504 ),
inference(sat_conversion,[],[f19279]) ).
cnf(s1293,plain,
( ~ spl2_39
| ~ spl2_393
| ~ spl2_492
| ~ spl2_504 ),
inference(sat_conversion,[],[f19283]) ).
cnf(s1296,plain,
( ~ spl2_183
| ~ spl2_489
| ~ spl2_520 ),
inference(sat_conversion,[],[f19290]) ).
cnf(s1298,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_175
| spl2_183 ),
inference(sat_conversion,[],[f19299]) ).
cnf(s1301,plain,
( spl2_28
| ~ spl2_39
| ~ spl2_500
| spl2_541 ),
inference(sat_conversion,[],[f19315]) ).
cnf(s1305,plain,
( ~ spl2_39
| ~ spl2_176
| spl2_183 ),
inference(sat_conversion,[],[f19320]) ).
cnf(s1312,plain,
( ~ spl2_176
| ~ spl2_263
| ~ spl2_371
| spl2_388 ),
inference(sat_conversion,[],[f19333]) ).
cnf(s1316,plain,
( ~ spl2_57
| ~ spl2_211
| ~ spl2_264 ),
inference(sat_conversion,[],[f19341]) ).
cnf(s1326,plain,
( spl2_100
| ~ spl2_166
| spl2_360 ),
inference(sat_conversion,[],[f19424]) ).
cnf(s1327,plain,
( ~ spl2_166
| spl2_544 ),
inference(sat_conversion,[],[f19425]) ).
cnf(s1329,plain,
( ~ spl2_8
| ~ spl2_166
| spl2_360 ),
inference(sat_conversion,[],[f19427]) ).
cnf(s1330,plain,
( ~ spl2_9
| ~ spl2_11
| spl2_154
| ~ spl2_263
| ~ spl2_371
| spl2_388
| spl2_459 ),
inference(sat_conversion,[],[f19446]) ).
cnf(s1332,plain,
( ~ spl2_43
| spl2_77
| ~ spl2_192
| ~ spl2_371 ),
inference(sat_conversion,[],[f19451]) ).
cnf(s1333,plain,
( ~ spl2_9
| ~ spl2_139
| spl2_154
| spl2_188
| ~ spl2_263
| ~ spl2_371
| spl2_388 ),
inference(sat_conversion,[],[f19452]) ).
cnf(s1342,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_504
| spl2_541 ),
inference(sat_conversion,[],[f19502]) ).
cnf(s1346,plain,
( ~ spl2_139
| ~ spl2_151
| spl2_207
| ~ spl2_510 ),
inference(sat_conversion,[],[f19611]) ).
cnf(s1347,plain,
( ~ spl2_264
| spl2_501
| ~ spl2_510 ),
inference(sat_conversion,[],[f19615]) ).
cnf(s1348,plain,
( spl2_163
| ~ spl2_500
| ~ spl2_510 ),
inference(sat_conversion,[],[f19617]) ).
cnf(s1351,plain,
( spl2_154
| ~ spl2_504
| ~ spl2_510 ),
inference(sat_conversion,[],[f19628]) ).
cnf(s1357,plain,
( ~ spl2_9
| ~ spl2_139
| spl2_154
| spl2_205
| ~ spl2_263
| ~ spl2_264
| spl2_472
| ~ spl2_510 ),
inference(sat_conversion,[],[f19640]) ).
cnf(s1361,plain,
( ~ spl2_175
| ~ spl2_178
| spl2_463 ),
inference(sat_conversion,[],[f19661]) ).
cnf(s1362,plain,
( ~ spl2_176
| ~ spl2_178
| spl2_458 ),
inference(sat_conversion,[],[f19662]) ).
cnf(s1367,plain,
( ~ spl2_97
| ~ spl2_520
| spl2_524 ),
inference(sat_conversion,[],[f19695]) ).
cnf(s1368,plain,
( ~ spl2_37
| ~ spl2_500
| ~ spl2_520 ),
inference(sat_conversion,[],[f19697]) ).
cnf(s1369,plain,
( ~ spl2_34
| ~ spl2_504
| ~ spl2_520 ),
inference(sat_conversion,[],[f19699]) ).
cnf(s1371,plain,
( ~ spl2_32
| spl2_516
| ~ spl2_520 ),
inference(sat_conversion,[],[f19701]) ).
cnf(s1379,plain,
( ~ spl2_9
| ~ spl2_175
| ~ spl2_371
| spl2_388 ),
inference(sat_conversion,[],[f19725]) ).
cnf(s1383,plain,
( ~ spl2_9
| ~ spl2_23
| spl2_164
| ~ spl2_393 ),
inference(sat_conversion,[],[f19737]) ).
cnf(s1394,plain,
( spl2_28
| ~ spl2_123
| spl2_161
| spl2_183
| ~ spl2_186 ),
inference(sat_conversion,[],[f19841]) ).
cnf(s1395,plain,
( spl2_28
| ~ spl2_39
| spl2_183
| ~ spl2_186 ),
inference(sat_conversion,[],[f19843]) ).
cnf(s1396,plain,
( ~ spl2_9
| ~ spl2_23
| ~ spl2_186
| ~ spl2_393 ),
inference(sat_conversion,[],[f19847]) ).
cnf(s1397,plain,
( ~ spl2_39
| ~ spl2_123
| spl2_183
| ~ spl2_186 ),
inference(sat_conversion,[],[f19848]) ).
cnf(s1404,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_388 ),
inference(sat_conversion,[],[f19958]) ).
cnf(s1405,plain,
( ~ spl2_18
| ~ spl2_23
| spl2_205
| ~ spl2_388 ),
inference(sat_conversion,[],[f19961]) ).
cnf(s1406,plain,
( ~ spl2_23
| ~ spl2_123
| spl2_161
| ~ spl2_388 ),
inference(sat_conversion,[],[f19962]) ).
cnf(s1410,plain,
( ~ spl2_9
| ~ spl2_501
| ~ spl2_502 ),
inference(sat_conversion,[],[f20011]) ).
cnf(s1411,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_502 ),
inference(sat_conversion,[],[f20013]) ).
cnf(s1412,plain,
( ~ spl2_18
| ~ spl2_21
| ~ spl2_502
| spl2_508 ),
inference(sat_conversion,[],[f20015]) ).
cnf(s1413,plain,
( ~ spl2_21
| ~ spl2_123
| spl2_204
| ~ spl2_502 ),
inference(sat_conversion,[],[f20016]) ).
cnf(s1414,plain,
( spl2_100
| ~ spl2_513
| spl2_564 ),
inference(sat_conversion,[],[f20064]) ).
cnf(s1417,plain,
( ~ spl2_8
| ~ spl2_513
| spl2_564 ),
inference(sat_conversion,[],[f20073]) ).
cnf(s1418,plain,
( ~ spl2_362
| spl2_510
| spl2_511
| ~ spl2_513 ),
inference(sat_conversion,[],[f20074]) ).
cnf(s1428,plain,
( ~ spl2_365
| ~ spl2_491
| ~ spl2_513 ),
inference(sat_conversion,[],[f20167]) ).
cnf(s1434,plain,
( ~ spl2_8
| spl2_186
| spl2_204
| ~ spl2_491
| spl2_499
| spl2_500 ),
inference(sat_conversion,[],[f20180]) ).
cnf(s1438,plain,
( ~ spl2_8
| spl2_186
| ~ spl2_491
| ~ spl2_513 ),
inference(sat_conversion,[],[f20187]) ).
cnf(s1444,plain,
( ~ spl2_176
| ~ spl2_192
| spl2_550 ),
inference(sat_conversion,[],[f20207]) ).
cnf(s1445,plain,
( spl2_503
| spl2_569 ),
inference(sat_conversion,[],[f20217]) ).
cnf(s1456,plain,
( spl2_264
| spl2_361
| ~ spl2_544 ),
inference(sat_conversion,[],[f20393]) ).
cnf(s1463,plain,
( ~ spl2_175
| ~ spl2_192
| spl2_547 ),
inference(sat_conversion,[],[f20661]) ).
cnf(s1467,plain,
( ~ spl2_164
| ~ spl2_490
| ~ spl2_564 ),
inference(sat_conversion,[],[f20815]) ).
cnf(s1470,plain,
( ~ spl2_164
| ~ spl2_490
| spl2_497 ),
inference(sat_conversion,[],[f20820]) ).
cnf(s1472,plain,
( ~ spl2_490
| ~ spl2_549
| ~ spl2_569 ),
inference(sat_conversion,[],[f20822]) ).
cnf(s1476,plain,
( ~ spl2_178
| ~ spl2_489
| ~ spl2_526
| spl2_527 ),
inference(sat_conversion,[],[f20854]) ).
cnf(s1480,plain,
( ~ spl2_139
| spl2_154
| spl2_205
| spl2_504
| spl2_526 ),
inference(sat_conversion,[],[f20874]) ).
cnf(s1493,plain,
( ~ spl2_1
| ~ spl2_43
| ~ spl2_500
| spl2_502
| spl2_507 ),
inference(sat_conversion,[],[f21049]) ).
cnf(s1500,plain,
( spl2_204
| spl2_520
| ~ spl2_529 ),
inference(sat_conversion,[],[f21198]) ).
cnf(s1503,plain,
( ~ spl2_178
| spl2_459
| ~ spl2_526
| spl2_527
| ~ spl2_529 ),
inference(sat_conversion,[],[f21203]) ).
cnf(s1504,plain,
( spl2_204
| spl2_205
| ~ spl2_211
| ~ spl2_374
| spl2_503
| ~ spl2_529 ),
inference(sat_conversion,[],[f21204]) ).
cnf(s1527,plain,
( ~ spl2_176
| ~ spl2_213
| spl2_504
| ~ spl2_511
| spl2_517
| spl2_579 ),
inference(sat_conversion,[],[f22038]) ).
cnf(s1528,plain,
( ~ spl2_176
| ~ spl2_213
| spl2_504
| spl2_517
| ~ spl2_521
| ~ spl2_580 ),
inference(sat_conversion,[],[f22042]) ).
cnf(s1530,plain,
( ~ spl2_178
| ~ spl2_526
| ~ spl2_579 ),
inference(sat_conversion,[],[f22073]) ).
cnf(s1532,plain,
( ~ spl2_39
| ~ spl2_579 ),
inference(sat_conversion,[],[f22084]) ).
cnf(s1540,plain,
( ~ spl2_490
| spl2_503
| ~ spl2_517
| spl2_549 ),
inference(sat_conversion,[],[f22249]) ).
cnf(s1542,plain,
( ~ spl2_164
| ~ spl2_365
| ~ spl2_491
| ~ spl2_517 ),
inference(sat_conversion,[],[f22255]) ).
cnf(s1543,plain,
( spl2_371
| ~ spl2_501
| ~ spl2_517 ),
inference(sat_conversion,[],[f22257]) ).
cnf(s1547,plain,
( spl2_186
| ~ spl2_500
| ~ spl2_517 ),
inference(sat_conversion,[],[f22264]) ).
cnf(s1549,plain,
( ~ spl2_176
| spl2_503
| ~ spl2_511
| spl2_517
| ~ spl2_556
| spl2_579 ),
inference(sat_conversion,[],[f22389]) ).
cnf(s1550,plain,
( spl2_325
| ~ spl2_366 ),
inference(sat_conversion,[],[f22441]) ).
cnf(s1554,plain,
( ~ spl2_178
| ~ spl2_183
| ~ spl2_191 ),
inference(sat_conversion,[],[f22510]) ).
cnf(s1555,plain,
( spl2_176
| spl2_180
| spl2_188 ),
inference(sat_conversion,[],[f22512]) ).
cnf(s1560,plain,
( ~ spl2_166
| spl2_176
| ~ spl2_365
| spl2_459 ),
inference(sat_conversion,[],[f22526]) ).
cnf(s1561,plain,
( ~ spl2_526
| spl2_587
| ~ spl2_588 ),
inference(sat_conversion,[],[f22533]) ).
cnf(s1562,plain,
( ~ spl2_164
| spl2_176
| ~ spl2_362
| spl2_459 ),
inference(sat_conversion,[],[f22535]) ).
cnf(s1564,plain,
( ~ spl2_178
| spl2_587
| ~ spl2_588 ),
inference(sat_conversion,[],[f22544]) ).
cnf(s1566,plain,
( ~ spl2_511
| spl2_527
| ~ spl2_588 ),
inference(sat_conversion,[],[f22548]) ).
cnf(s1567,plain,
( ~ spl2_191
| ~ spl2_526
| ~ spl2_541 ),
inference(sat_conversion,[],[f22551]) ).
cnf(s1569,plain,
( ~ spl2_164
| ~ spl2_180
| spl2_188
| spl2_191
| ~ spl2_227 ),
inference(sat_conversion,[],[f22558]) ).
cnf(s1587,plain,
( ~ spl2_164
| spl2_176
| spl2_188
| ~ spl2_361 ),
inference(sat_conversion,[],[f22621]) ).
cnf(s1604,plain,
( ~ spl2_183
| spl2_186
| spl2_188
| ~ spl2_191
| ~ spl2_360 ),
inference(sat_conversion,[],[f22655]) ).
cnf(s1616,plain,
( ~ spl2_192
| ~ spl2_459
| spl2_482 ),
inference(sat_conversion,[],[f22863]) ).
cnf(s1617,plain,
( ~ spl2_386
| ~ spl2_459
| spl2_464 ),
inference(sat_conversion,[],[f22865]) ).
cnf(s1618,plain,
( spl2_179
| ~ spl2_459
| ~ spl2_491 ),
inference(sat_conversion,[],[f22866]) ).
cnf(s1622,plain,
( ~ spl2_192
| ~ spl2_459
| spl2_503 ),
inference(sat_conversion,[],[f22876]) ).
cnf(s1623,plain,
( spl2_154
| ~ spl2_175
| ~ spl2_459 ),
inference(sat_conversion,[],[f22879]) ).
cnf(s1624,plain,
( spl2_176
| ~ spl2_459
| ~ spl2_511 ),
inference(sat_conversion,[],[f22880]) ).
cnf(s1625,plain,
( ~ spl2_164
| ~ spl2_365
| ~ spl2_459
| ~ spl2_491 ),
inference(sat_conversion,[],[f22882]) ).
cnf(s1627,plain,
( ~ spl2_191
| spl2_221
| ~ spl2_459 ),
inference(sat_conversion,[],[f22885]) ).
cnf(s1628,plain,
( ~ spl2_139
| ~ spl2_151
| spl2_200
| ~ spl2_459 ),
inference(sat_conversion,[],[f22886]) ).
cnf(s1629,plain,
( spl2_180
| ~ spl2_459
| ~ spl2_490 ),
inference(sat_conversion,[],[f22887]) ).
cnf(s1633,plain,
( spl2_186
| ~ spl2_459
| ~ spl2_500 ),
inference(sat_conversion,[],[f22896]) ).
cnf(s1641,plain,
( spl2_22
| ~ spl2_234
| ~ spl2_374
| ~ spl2_459
| spl2_588 ),
inference(sat_conversion,[],[f22913]) ).
cnf(s1650,plain,
( spl2_22
| ~ spl2_166
| ~ spl2_360
| ~ spl2_459
| spl2_588 ),
inference(sat_conversion,[],[f22930]) ).
cnf(s1654,plain,
( ~ spl2_166
| spl2_188
| ~ spl2_360
| ~ spl2_459
| spl2_588 ),
inference(sat_conversion,[],[f22935]) ).
cnf(s1659,plain,
( spl2_22
| spl2_191
| ~ spl2_230 ),
inference(sat_conversion,[],[f23094]) ).
cnf(s1660,plain,
( spl2_163
| ~ spl2_230 ),
inference(sat_conversion,[],[f23100]) ).
cnf(s1668,plain,
( spl2_22
| spl2_154
| ~ spl2_200
| spl2_588 ),
inference(sat_conversion,[],[f23178]) ).
cnf(s1686,plain,
( ~ spl2_39
| spl2_69
| ~ spl2_508 ),
inference(sat_conversion,[],[f23823]) ).
cnf(s1689,plain,
( ~ spl2_21
| spl2_504
| ~ spl2_508 ),
inference(sat_conversion,[],[f23836]) ).
cnf(s1690,plain,
( spl2_57
| ~ spl2_501
| ~ spl2_508 ),
inference(sat_conversion,[],[f23840]) ).
cnf(s1697,plain,
( spl2_28
| ~ spl2_67
| spl2_172
| ~ spl2_508 ),
inference(sat_conversion,[],[f23861]) ).
cnf(s1702,plain,
( spl2_40
| spl2_69
| ~ spl2_508 ),
inference(sat_conversion,[],[f23868]) ).
cnf(s1708,plain,
( ~ spl2_151
| spl2_185
| spl2_204
| ~ spl2_508
| ~ spl2_544
| spl2_588 ),
inference(sat_conversion,[],[f23877]) ).
cnf(s1713,plain,
( ~ spl2_166
| spl2_204
| ~ spl2_360
| ~ spl2_508
| spl2_588 ),
inference(sat_conversion,[],[f23883]) ).
cnf(s1718,plain,
( spl2_154
| spl2_185
| ~ spl2_248
| spl2_264 ),
inference(sat_conversion,[],[f24128]) ).
cnf(s1719,plain,
( spl2_161
| ~ spl2_245
| spl2_264
| spl2_371 ),
inference(sat_conversion,[],[f24271]) ).
cnf(s1724,plain,
( ~ spl2_161
| spl2_264
| ~ spl2_501 ),
inference(sat_conversion,[],[f24511]) ).
cnf(s1727,plain,
( spl2_70
| ~ spl2_161
| ~ spl2_192 ),
inference(sat_conversion,[],[f24517]) ).
cnf(s1728,plain,
( ~ spl2_9
| spl2_154
| ~ spl2_161 ),
inference(sat_conversion,[],[f24519]) ).
cnf(s1731,plain,
( ~ spl2_161
| spl2_261
| ~ spl2_500 ),
inference(sat_conversion,[],[f24526]) ).
cnf(s1734,plain,
( ~ spl2_161
| spl2_172
| ~ spl2_183 ),
inference(sat_conversion,[],[f24530]) ).
cnf(s1737,plain,
( spl2_82
| ~ spl2_161
| ~ spl2_166 ),
inference(sat_conversion,[],[f24535]) ).
cnf(s1743,plain,
( ~ spl2_43
| ~ spl2_161
| spl2_185 ),
inference(sat_conversion,[],[f24546]) ).
cnf(s1745,plain,
( ~ spl2_161
| spl2_163
| ~ spl2_500 ),
inference(sat_conversion,[],[f24550]) ).
cnf(s1747,plain,
( ~ spl2_161
| spl2_264
| ~ spl2_526 ),
inference(sat_conversion,[],[f24554]) ).
cnf(s1748,plain,
( spl2_57
| ~ spl2_161
| ~ spl2_178 ),
inference(sat_conversion,[],[f24556]) ).
cnf(s1749,plain,
( ~ spl2_161
| spl2_163
| ~ spl2_511 ),
inference(sat_conversion,[],[f24559]) ).
cnf(s1759,plain,
( spl2_28
| ~ spl2_67
| ~ spl2_161
| spl2_172 ),
inference(sat_conversion,[],[f24576]) ).
cnf(s1768,plain,
( ~ spl2_43
| spl2_77
| spl2_82
| ~ spl2_161 ),
inference(sat_conversion,[],[f24588]) ).
cnf(s1770,plain,
( spl2_154
| spl2_161
| ~ spl2_207
| spl2_588 ),
inference(sat_conversion,[],[f24702]) ).
cnf(s1773,plain,
( ~ spl2_490
| spl2_503
| spl2_505 ),
inference(sat_conversion,[],[f24772]) ).
cnf(s1776,plain,
( spl2_22
| ~ spl2_91
| spl2_185
| ~ spl2_500
| ~ spl2_511 ),
inference(sat_conversion,[],[f24848]) ).
cnf(s1793,plain,
( spl2_185
| ~ spl2_544
| ~ spl2_559
| ~ spl2_620 ),
inference(sat_conversion,[],[f25050]) ).
cnf(s1797,plain,
( spl2_154
| ~ spl2_620
| spl2_624 ),
inference(sat_conversion,[],[f25055]) ).
cnf(s1798,plain,
( spl2_191
| ~ spl2_620
| spl2_624 ),
inference(sat_conversion,[],[f25056]) ).
cnf(s1809,plain,
( ~ spl2_41
| spl2_186
| spl2_204
| spl2_205
| spl2_221 ),
inference(sat_conversion,[],[f25259]) ).
cnf(s1810,plain,
( ~ spl2_41
| spl2_161
| spl2_163
| spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f25262]) ).
cnf(s1821,plain,
( ~ spl2_8
| spl2_28
| ~ spl2_39
| ~ spl2_123
| spl2_161
| ~ spl2_164
| spl2_627 ),
inference(sat_conversion,[],[f25841]) ).
cnf(s1827,plain,
( ~ spl2_505
| ~ spl2_541
| spl2_628 ),
inference(sat_conversion,[],[f26620]) ).
cnf(s1857,plain,
( spl2_204
| ~ spl2_232
| spl2_264
| spl2_371 ),
inference(sat_conversion,[],[f27511]) ).
cnf(s1858,plain,
( ~ spl2_243
| spl2_264
| spl2_371 ),
inference(sat_conversion,[],[f27527]) ).
cnf(s1869,plain,
( ~ spl2_164
| spl2_492
| spl2_517
| ~ spl2_566 ),
inference(sat_conversion,[],[f27951]) ).
cnf(s1875,plain,
( spl2_161
| ~ spl2_166
| ~ spl2_179
| spl2_221
| ~ spl2_241 ),
inference(sat_conversion,[],[f28353]) ).
cnf(s1955,plain,
( ~ spl2_164
| ~ spl2_691
| spl2_702
| ~ spl2_705 ),
inference(sat_conversion,[],[f30425]) ).
cnf(s1963,plain,
( ~ spl2_8
| spl2_186
| spl2_204
| ~ spl2_691
| spl2_710 ),
inference(sat_conversion,[],[f30458]) ).
cnf(s1967,plain,
( spl2_705
| spl2_713 ),
inference(sat_conversion,[],[f30479]) ).
cnf(s1976,plain,
( ~ spl2_9
| ~ spl2_139
| spl2_459
| ~ spl2_501
| spl2_504
| ~ spl2_713
| spl2_719 ),
inference(sat_conversion,[],[f30574]) ).
cnf(s1978,plain,
( ~ spl2_9
| ~ spl2_139
| ~ spl2_501
| spl2_504
| spl2_517
| ~ spl2_713
| spl2_719 ),
inference(sat_conversion,[],[f30579]) ).
cnf(s1979,plain,
( ~ spl2_9
| ~ spl2_702
| ~ spl2_713
| spl2_719 ),
inference(sat_conversion,[],[f30582]) ).
cnf(s1982,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_702
| spl2_716 ),
inference(sat_conversion,[],[f30601]) ).
cnf(s1985,plain,
( ~ spl2_9
| ~ spl2_713
| ~ spl2_715 ),
inference(sat_conversion,[],[f30649]) ).
cnf(s1987,plain,
( ~ spl2_21
| ~ spl2_39
| ~ spl2_715 ),
inference(sat_conversion,[],[f30657]) ).
cnf(s1999,plain,
( spl2_186
| ~ spl2_695
| spl2_709 ),
inference(sat_conversion,[],[f30750]) ).
cnf(s2000,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_719 ),
inference(sat_conversion,[],[f30798]) ).
cnf(s2006,plain,
( ~ spl2_386
| ~ spl2_695
| ~ spl2_705 ),
inference(sat_conversion,[],[f30823]) ).
cnf(s2007,plain,
( ~ spl2_458
| ~ spl2_692
| ~ spl2_727
| ~ spl2_728 ),
inference(sat_conversion,[],[f30874]) ).
cnf(s2009,plain,
( ~ spl2_39
| ~ spl2_395
| ~ spl2_692
| ~ spl2_727 ),
inference(sat_conversion,[],[f30878]) ).
cnf(s2011,plain,
( ~ spl2_1
| spl2_154
| spl2_161
| spl2_526
| ~ spl2_559 ),
inference(sat_conversion,[],[f30882]) ).
cnf(s2023,plain,
( ~ spl2_154
| ~ spl2_176
| ~ spl2_185
| ~ spl2_547 ),
inference(sat_conversion,[],[f30945]) ).
cnf(s2026,plain,
( ~ spl2_34
| ~ spl2_139
| spl2_154
| ~ spl2_211
| spl2_741 ),
inference(sat_conversion,[],[f30969]) ).
cnf(s2033,plain,
( ~ spl2_178
| ~ spl2_185
| ~ spl2_192
| spl2_212 ),
inference(sat_conversion,[],[f31007]) ).
cnf(s2040,plain,
( ~ spl2_1
| spl2_175
| spl2_188
| spl2_492
| ~ spl2_559 ),
inference(sat_conversion,[],[f31039]) ).
cnf(s2041,plain,
( ~ spl2_154
| ~ spl2_178
| ~ spl2_192
| spl2_212 ),
inference(sat_conversion,[],[f31041]) ).
cnf(s2052,plain,
( ~ spl2_34
| ~ spl2_139
| spl2_175
| ~ spl2_183
| spl2_584 ),
inference(sat_conversion,[],[f31083]) ).
cnf(s2054,plain,
( ~ spl2_34
| ~ spl2_139
| spl2_154
| ~ spl2_211
| spl2_754 ),
inference(sat_conversion,[],[f31088]) ).
cnf(s2056,plain,
( ~ spl2_34
| ~ spl2_139
| spl2_175
| ~ spl2_183
| spl2_755 ),
inference(sat_conversion,[],[f31093]) ).
cnf(s2061,plain,
( ~ spl2_139
| spl2_175
| spl2_188
| spl2_492
| spl2_504 ),
inference(sat_conversion,[],[f31108]) ).
cnf(s2063,plain,
( ~ spl2_139
| spl2_175
| spl2_188
| spl2_489
| spl2_504 ),
inference(sat_conversion,[],[f31110]) ).
cnf(s2066,plain,
( ~ spl2_139
| spl2_154
| spl2_161
| spl2_504
| spl2_511 ),
inference(sat_conversion,[],[f31118]) ).
cnf(s2071,plain,
( ~ spl2_1
| ~ spl2_151
| spl2_161
| spl2_504
| spl2_511 ),
inference(sat_conversion,[],[f31131]) ).
cnf(s2072,plain,
( ~ spl2_37
| ~ spl2_211
| spl2_264
| ~ spl2_544
| spl2_754 ),
inference(sat_conversion,[],[f31132]) ).
cnf(s2073,plain,
( ~ spl2_1
| ~ spl2_177
| spl2_188
| spl2_489
| spl2_504 ),
inference(sat_conversion,[],[f31133]) ).
cnf(s2085,plain,
( ~ spl2_139
| spl2_154
| spl2_161
| spl2_504
| spl2_526 ),
inference(sat_conversion,[],[f31164]) ).
cnf(s2094,plain,
( spl2_175
| ~ spl2_458
| ~ spl2_507
| ~ spl2_511
| spl2_517
| ~ spl2_526 ),
inference(sat_conversion,[],[f31186]) ).
cnf(s2095,plain,
( spl2_175
| ~ spl2_178
| spl2_517
| ~ spl2_526
| spl2_527
| ~ spl2_574 ),
inference(sat_conversion,[],[f31187]) ).
cnf(s2097,plain,
( spl2_22
| ~ spl2_185
| spl2_186
| ~ spl2_192
| spl2_212
| ~ spl2_360 ),
inference(sat_conversion,[],[f31191]) ).
cnf(s2102,plain,
( ~ spl2_37
| spl2_188
| ~ spl2_361
| ~ spl2_627
| spl2_757 ),
inference(sat_conversion,[],[f31197]) ).
cnf(s2104,plain,
( ~ spl2_39
| spl2_175
| ~ spl2_395
| ~ spl2_507
| ~ spl2_511
| spl2_517 ),
inference(sat_conversion,[],[f31199]) ).
cnf(s2105,plain,
( spl2_22
| ~ spl2_154
| ~ spl2_185
| spl2_186
| spl2_264
| ~ spl2_544
| ~ spl2_547 ),
inference(sat_conversion,[],[f31200]) ).
cnf(s2109,plain,
( ~ spl2_37
| spl2_188
| spl2_264
| ~ spl2_544
| ~ spl2_627
| spl2_754 ),
inference(sat_conversion,[],[f31205]) ).
cnf(s2117,plain,
( ~ spl2_177
| spl2_503
| ~ spl2_528 ),
inference(sat_conversion,[],[f31229]) ).
cnf(s2118,plain,
( ~ spl2_164
| spl2_192
| spl2_549 ),
inference(sat_conversion,[],[f31231]) ).
cnf(s2119,plain,
( ~ spl2_233
| spl2_503
| ~ spl2_568 ),
inference(sat_conversion,[],[f31232]) ).
cnf(s2133,plain,
( ~ spl2_154
| spl2_485 ),
inference(sat_conversion,[],[f31281]) ).
cnf(s2134,plain,
( ~ spl2_185
| spl2_482 ),
inference(sat_conversion,[],[f31311]) ).
cnf(s2136,plain,
( ~ spl2_18
| ~ spl2_21
| spl2_161
| ~ spl2_185
| spl2_188
| ~ spl2_611 ),
inference(sat_conversion,[],[f31320]) ).
cnf(s2143,plain,
( ~ spl2_1
| spl2_175
| spl2_213 ),
inference(sat_conversion,[],[f31347]) ).
cnf(s2150,plain,
( ~ spl2_9
| ~ spl2_139
| spl2_188
| ~ spl2_371
| spl2_388
| ~ spl2_501
| spl2_504 ),
inference(sat_conversion,[],[f31395]) ).
cnf(s2152,plain,
( ~ spl2_9
| spl2_77
| ~ spl2_501
| ~ spl2_503 ),
inference(sat_conversion,[],[f31424]) ).
cnf(s2156,plain,
( spl2_263
| ~ spl2_501
| ~ spl2_510 ),
inference(sat_conversion,[],[f31617]) ).
cnf(s2157,plain,
( ~ spl2_154
| spl2_504
| ~ spl2_510 ),
inference(sat_conversion,[],[f31619]) ).
cnf(s2160,plain,
( ~ spl2_510
| spl2_580
| ~ spl2_692 ),
inference(sat_conversion,[],[f31632]) ).
cnf(s2162,plain,
( spl2_186
| ~ spl2_510
| ~ spl2_710 ),
inference(sat_conversion,[],[f31643]) ).
cnf(s2167,plain,
( spl2_161
| ~ spl2_166
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(sat_conversion,[],[f31664]) ).
cnf(s2168,plain,
( spl2_161
| ~ spl2_166
| ~ spl2_360
| ~ spl2_510
| spl2_588 ),
inference(sat_conversion,[],[f31667]) ).
cnf(s2172,plain,
( spl2_161
| spl2_163
| spl2_264
| ~ spl2_510
| ~ spl2_544
| spl2_588 ),
inference(sat_conversion,[],[f31675]) ).
cnf(s2182,plain,
( spl2_500
| spl2_513 ),
inference(sat_conversion,[],[f31743]) ).
cnf(s2192,plain,
( ~ spl2_166
| spl2_506
| ~ spl2_733
| ~ spl2_776 ),
inference(sat_conversion,[],[f31970]) ).
cnf(s2199,plain,
( ~ spl2_166
| spl2_504
| ~ spl2_733
| ~ spl2_776 ),
inference(sat_conversion,[],[f31986]) ).
cnf(s2202,plain,
( spl2_503
| spl2_506
| spl2_510
| spl2_526
| ~ spl2_551 ),
inference(sat_conversion,[],[f32023]) ).
cnf(s2206,plain,
( ~ spl2_166
| ~ spl2_564
| ~ spl2_620 ),
inference(sat_conversion,[],[f32189]) ).
cnf(s2225,plain,
( ~ spl2_1
| spl2_504
| ~ spl2_693
| spl2_702 ),
inference(sat_conversion,[],[f32342]) ).
cnf(s2228,plain,
( spl2_204
| spl2_264
| ~ spl2_544
| spl2_710
| spl2_727 ),
inference(sat_conversion,[],[f32347]) ).
cnf(s2236,plain,
( ~ spl2_361
| spl2_508
| spl2_710
| spl2_727 ),
inference(sat_conversion,[],[f32358]) ).
cnf(s2237,plain,
( ~ spl2_360
| spl2_508
| spl2_710
| spl2_728 ),
inference(sat_conversion,[],[f32359]) ).
cnf(s2238,plain,
( spl2_504
| ~ spl2_569
| ~ spl2_693
| spl2_714 ),
inference(sat_conversion,[],[f32360]) ).
cnf(s2242,plain,
( spl2_714
| spl2_786 ),
inference(sat_conversion,[],[f32379]) ).
cnf(s2245,plain,
( spl2_28
| ~ spl2_39
| ~ spl2_710
| spl2_716 ),
inference(sat_conversion,[],[f32405]) ).
cnf(s2246,plain,
( spl2_28
| ~ spl2_123
| spl2_499
| ~ spl2_710
| spl2_716 ),
inference(sat_conversion,[],[f32408]) ).
cnf(s2248,plain,
( ~ spl2_123
| spl2_499
| ~ spl2_710
| spl2_716 ),
inference(sat_conversion,[],[f32410]) ).
cnf(s2254,plain,
( ~ spl2_361
| spl2_508
| spl2_727
| ~ spl2_787 ),
inference(sat_conversion,[],[f32507]) ).
cnf(s2255,plain,
( ~ spl2_360
| spl2_508
| spl2_728
| ~ spl2_787 ),
inference(sat_conversion,[],[f32508]) ).
cnf(s2256,plain,
( spl2_204
| spl2_264
| ~ spl2_544
| spl2_727
| ~ spl2_787 ),
inference(sat_conversion,[],[f32509]) ).
cnf(s2258,plain,
( spl2_204
| ~ spl2_360
| spl2_728
| ~ spl2_787 ),
inference(sat_conversion,[],[f32511]) ).
cnf(s2266,plain,
( ~ spl2_501
| ~ spl2_694
| ~ spl2_713
| spl2_719 ),
inference(sat_conversion,[],[f32553]) ).
cnf(s2268,plain,
( ~ spl2_39
| ~ spl2_694
| spl2_716 ),
inference(sat_conversion,[],[f32556]) ).
cnf(s2276,plain,
( ~ spl2_164
| ~ spl2_699
| spl2_713 ),
inference(sat_conversion,[],[f33034]) ).
cnf(s2280,plain,
( ~ spl2_241
| ~ spl2_709
| spl2_713 ),
inference(sat_conversion,[],[f33054]) ).
cnf(s2281,plain,
( ~ spl2_233
| ~ spl2_709
| spl2_714 ),
inference(sat_conversion,[],[f33055]) ).
cnf(s2283,plain,
( ~ spl2_233
| spl2_702
| ~ spl2_723 ),
inference(sat_conversion,[],[f33073]) ).
cnf(s2285,plain,
( ~ spl2_492
| ~ spl2_692
| ~ spl2_792 ),
inference(sat_conversion,[],[f33136]) ).
cnf(s2287,plain,
( ~ spl2_39
| ~ spl2_792 ),
inference(sat_conversion,[],[f33145]) ).
cnf(s2290,plain,
( ~ spl2_8
| ~ spl2_164
| spl2_365 ),
inference(sat_conversion,[],[f33158]) ).
cnf(s2291,plain,
( ~ spl2_183
| ~ spl2_696
| ~ spl2_700 ),
inference(sat_conversion,[],[f33160]) ).
cnf(s2302,plain,
( ~ spl2_227
| spl2_501
| ~ spl2_544
| ~ spl2_620 ),
inference(sat_conversion,[],[f33224]) ).
cnf(s2305,plain,
( spl2_501
| spl2_776 ),
inference(sat_conversion,[],[f33229]) ).
cnf(s2308,plain,
( ~ spl2_1
| ~ spl2_49
| spl2_161
| spl2_175
| spl2_221 ),
inference(sat_conversion,[],[f33231]) ).
cnf(s2334,plain,
( ~ spl2_166
| spl2_501
| ~ spl2_779 ),
inference(sat_conversion,[],[f33363]) ).
cnf(s2336,plain,
( spl2_21
| spl2_26
| ~ spl2_139 ),
inference(sat_conversion,[],[f33371]) ).
cnf(s2344,plain,
( spl2_21
| ~ spl2_139
| ~ spl2_755
| spl2_836 ),
inference(sat_conversion,[],[f33399]) ).
cnf(s2358,plain,
( ~ spl2_67
| ~ spl2_221
| ~ spl2_492
| spl2_513 ),
inference(sat_conversion,[],[f33443]) ).
cnf(s2365,plain,
( spl2_21
| ~ spl2_50
| ~ spl2_164
| spl2_221 ),
inference(sat_conversion,[],[f33473]) ).
cnf(s2368,plain,
( spl2_21
| ~ spl2_25
| spl2_85 ),
inference(sat_conversion,[],[f33482]) ).
cnf(s2369,plain,
( spl2_21
| ~ spl2_139
| spl2_161
| spl2_175
| spl2_221 ),
inference(sat_conversion,[],[f33483]) ).
cnf(s2371,plain,
( spl2_161
| spl2_163
| ~ spl2_164
| ~ spl2_180
| ~ spl2_227 ),
inference(sat_conversion,[],[f33488]) ).
cnf(s2390,plain,
( ~ spl2_21
| spl2_34
| ~ spl2_39
| ~ spl2_185 ),
inference(sat_conversion,[],[f33557]) ).
cnf(s2401,plain,
( ~ spl2_221
| ~ spl2_492
| ~ spl2_541 ),
inference(sat_conversion,[],[f33602]) ).
cnf(s2403,plain,
( spl2_21
| ~ spl2_37
| ~ spl2_139
| spl2_142 ),
inference(sat_conversion,[],[f33607]) ).
cnf(s2415,plain,
( ~ spl2_1
| spl2_21
| spl2_26 ),
inference(sat_conversion,[],[f33655]) ).
cnf(s2434,plain,
( spl2_21
| ~ spl2_139
| ~ spl2_183
| ~ spl2_696
| spl2_702 ),
inference(sat_conversion,[],[f33714]) ).
cnf(s2438,plain,
( ~ spl2_8
| spl2_163
| ~ spl2_513
| ~ spl2_733 ),
inference(sat_conversion,[],[f33722]) ).
cnf(s2479,plain,
( spl2_21
| ~ spl2_139
| spl2_504
| spl2_520 ),
inference(sat_conversion,[],[f33828]) ).
cnf(s2489,plain,
( spl2_544
| ~ spl2_733 ),
inference(sat_conversion,[],[f33859]) ).
cnf(s2509,plain,
( ~ spl2_316
| spl2_499
| spl2_500
| spl2_510
| spl2_511 ),
inference(sat_conversion,[],[f33927]) ).
cnf(s2521,plain,
( spl2_18
| ~ spl2_50
| ~ spl2_164
| spl2_221 ),
inference(sat_conversion,[],[f33965]) ).
cnf(s2535,plain,
( ~ spl2_8
| ~ spl2_166
| spl2_500
| ~ spl2_620 ),
inference(sat_conversion,[],[f34008]) ).
cnf(s2554,plain,
( spl2_161
| ~ spl2_360
| spl2_500
| spl2_526 ),
inference(sat_conversion,[],[f34043]) ).
cnf(s2557,plain,
( ~ spl2_191
| spl2_205
| ~ spl2_360
| spl2_500
| ~ spl2_541 ),
inference(sat_conversion,[],[f34050]) ).
cnf(s2563,plain,
( ~ spl2_8
| spl2_161
| spl2_163
| spl2_500
| ~ spl2_733 ),
inference(sat_conversion,[],[f34059]) ).
cnf(s2566,plain,
( ~ spl2_1
| spl2_21
| spl2_26 ),
inference(sat_conversion,[],[f34062]) ).
cnf(s2573,plain,
( ~ spl2_13
| spl2_504
| spl2_574 ),
inference(sat_conversion,[],[f34077]) ).
cnf(s2574,plain,
( ~ spl2_39
| ~ spl2_69
| ~ spl2_541 ),
inference(sat_conversion,[],[f34078]) ).
cnf(s2576,plain,
( ~ spl2_39
| ~ spl2_69
| ~ spl2_716 ),
inference(sat_conversion,[],[f34080]) ).
cnf(s2577,plain,
( spl2_28
| spl2_37
| ~ spl2_123
| spl2_950 ),
inference(sat_conversion,[],[f34084]) ).
cnf(s2615,plain,
( spl2_18
| spl2_26
| spl2_70 ),
inference(sat_conversion,[],[f34167]) ).
cnf(s2639,plain,
( ~ spl2_39
| ~ spl2_395
| ~ spl2_492
| ~ spl2_511 ),
inference(sat_conversion,[],[f34197]) ).
cnf(s2646,plain,
( ~ spl2_2
| ~ spl2_716 ),
inference(sat_conversion,[],[f34220]) ).
cnf(s2648,plain,
( ~ spl2_2
| spl2_185 ),
inference(sat_conversion,[],[f34223]) ).
cnf(s2654,plain,
( spl2_25
| spl2_70 ),
inference(sat_conversion,[],[f34233]) ).
cnf(s2660,plain,
( ~ spl2_204
| spl2_350
| ~ spl2_386 ),
inference(sat_conversion,[],[f34356]) ).
cnf(s2662,plain,
( spl2_40
| spl2_69
| ~ spl2_204 ),
inference(sat_conversion,[],[f34362]) ).
cnf(s2664,plain,
( spl2_31
| spl2_69
| ~ spl2_204 ),
inference(sat_conversion,[],[f34365]) ).
cnf(s2665,plain,
( ~ spl2_191
| ~ spl2_204
| spl2_526 ),
inference(sat_conversion,[],[f34368]) ).
cnf(s2668,plain,
( ~ spl2_39
| spl2_69
| ~ spl2_204 ),
inference(sat_conversion,[],[f34373]) ).
cnf(s2669,plain,
( ~ spl2_28
| ~ spl2_204
| spl2_540 ),
inference(sat_conversion,[],[f34374]) ).
cnf(s2670,plain,
( spl2_82
| ~ spl2_164
| ~ spl2_204 ),
inference(sat_conversion,[],[f34379]) ).
cnf(s2673,plain,
( ~ spl2_204
| ~ spl2_325
| spl2_352 ),
inference(sat_conversion,[],[f34384]) ).
cnf(s2674,plain,
( spl2_81
| spl2_82
| ~ spl2_204 ),
inference(sat_conversion,[],[f34386]) ).
cnf(s2677,plain,
( ~ spl2_8
| ~ spl2_164
| ~ spl2_204
| spl2_352 ),
inference(sat_conversion,[],[f34392]) ).
cnf(s2678,plain,
( spl2_6
| spl2_82
| ~ spl2_204 ),
inference(sat_conversion,[],[f34397]) ).
cnf(s2681,plain,
( spl2_6
| ~ spl2_8
| ~ spl2_204
| spl2_350 ),
inference(sat_conversion,[],[f34401]) ).
cnf(s2682,plain,
( ~ spl2_43
| spl2_77
| spl2_82
| ~ spl2_204 ),
inference(sat_conversion,[],[f34402]) ).
cnf(s2683,plain,
( spl2_6
| ~ spl2_8
| ~ spl2_204
| spl2_352 ),
inference(sat_conversion,[],[f34403]) ).
cnf(s2689,plain,
( ~ spl2_8
| ~ spl2_28
| spl2_106 ),
inference(sat_conversion,[],[f34459]) ).
cnf(s2693,plain,
( ~ spl2_8
| spl2_23
| spl2_41 ),
inference(sat_conversion,[],[f34485]) ).
cnf(s2703,plain,
( ~ spl2_9
| ~ spl2_154
| ~ spl2_264
| spl2_472 ),
inference(sat_conversion,[],[f34520]) ).
cnf(s2707,plain,
( spl2_161
| spl2_163
| spl2_166 ),
inference(sat_conversion,[],[f34555]) ).
cnf(s2715,plain,
( spl2_40
| spl2_69
| ~ spl2_712 ),
inference(sat_conversion,[],[f34674]) ).
cnf(s2716,plain,
( spl2_6
| spl2_82
| ~ spl2_712 ),
inference(sat_conversion,[],[f34680]) ).
cnf(s2717,plain,
( spl2_31
| spl2_69
| ~ spl2_712 ),
inference(sat_conversion,[],[f34682]) ).
cnf(s2719,plain,
( ~ spl2_43
| spl2_77
| spl2_82
| ~ spl2_712 ),
inference(sat_conversion,[],[f34686]) ).
cnf(s2720,plain,
( spl2_6
| ~ spl2_8
| spl2_350
| ~ spl2_712 ),
inference(sat_conversion,[],[f34687]) ).
cnf(s2723,plain,
( spl2_6
| spl2_205
| spl2_371
| ~ spl2_386
| ~ spl2_712 ),
inference(sat_conversion,[],[f34692]) ).
cnf(s2727,plain,
( spl2_185
| ~ spl2_191
| spl2_510
| ~ spl2_628 ),
inference(sat_conversion,[],[f34704]) ).
cnf(s2728,plain,
( spl2_241
| spl2_371 ),
inference(sat_conversion,[],[f34714]) ).
cnf(s2731,plain,
( spl2_504
| spl2_559 ),
inference(sat_conversion,[],[f34722]) ).
cnf(s2736,plain,
( ~ spl2_43
| spl2_502
| ~ spl2_504
| spl2_513 ),
inference(sat_conversion,[],[f34743]) ).
cnf(s2738,plain,
( spl2_221
| spl2_225 ),
inference(sat_conversion,[],[f34754]) ).
cnf(s2739,plain,
( spl2_161
| spl2_221
| spl2_225 ),
inference(sat_conversion,[],[f34756]) ).
cnf(s2749,plain,
( ~ spl2_9
| ~ spl2_212
| ~ spl2_264 ),
inference(sat_conversion,[],[f34850]) ).
cnf(s2751,plain,
( ~ spl2_9
| ~ spl2_154
| ~ spl2_264
| spl2_472 ),
inference(sat_conversion,[],[f34856]) ).
cnf(s2754,plain,
( ~ spl2_164
| spl2_371
| spl2_386 ),
inference(sat_conversion,[],[f34862]) ).
cnf(s2757,plain,
( spl2_154
| ~ spl2_507
| spl2_510
| spl2_526 ),
inference(sat_conversion,[],[f34865]) ).
cnf(s2760,plain,
( ~ spl2_186
| ~ spl2_264
| spl2_513
| ~ spl2_521 ),
inference(sat_conversion,[],[f34872]) ).
cnf(s2766,plain,
( spl2_154
| spl2_551 ),
inference(sat_conversion,[],[f34904]) ).
cnf(s2770,plain,
( ~ spl2_8
| spl2_14
| ~ spl2_77 ),
inference(sat_conversion,[],[f34943]) ).
cnf(s2772,plain,
( ~ spl2_9
| ~ spl2_163
| ~ spl2_186
| ~ spl2_463 ),
inference(sat_conversion,[],[f34964]) ).
cnf(s2777,plain,
( ~ spl2_205
| spl2_526
| ~ spl2_588 ),
inference(sat_conversion,[],[f35105]) ).
cnf(s2779,plain,
( ~ spl2_151
| ~ spl2_205
| spl2_559 ),
inference(sat_conversion,[],[f35107]) ).
cnf(s2780,plain,
( spl2_23
| ~ spl2_186
| ~ spl2_205 ),
inference(sat_conversion,[],[f35109]) ).
cnf(s2781,plain,
( ~ spl2_205
| ~ spl2_264
| spl2_501 ),
inference(sat_conversion,[],[f35111]) ).
cnf(s2782,plain,
( ~ spl2_57
| ~ spl2_205
| spl2_371 ),
inference(sat_conversion,[],[f35113]) ).
cnf(s2783,plain,
( spl2_41
| ~ spl2_205
| ~ spl2_325 ),
inference(sat_conversion,[],[f35114]) ).
cnf(s2786,plain,
( ~ spl2_39
| spl2_69
| ~ spl2_205 ),
inference(sat_conversion,[],[f35119]) ).
cnf(s2787,plain,
( spl2_21
| ~ spl2_175
| ~ spl2_205 ),
inference(sat_conversion,[],[f35121]) ).
cnf(s2789,plain,
( spl2_185
| ~ spl2_205
| ~ spl2_503 ),
inference(sat_conversion,[],[f35125]) ).
cnf(s2790,plain,
( spl2_154
| ~ spl2_205
| ~ spl2_504 ),
inference(sat_conversion,[],[f35132]) ).
cnf(s2791,plain,
( ~ spl2_205
| spl2_576
| ~ spl2_733 ),
inference(sat_conversion,[],[f35134]) ).
cnf(s2793,plain,
( spl2_69
| ~ spl2_171
| ~ spl2_205 ),
inference(sat_conversion,[],[f35140]) ).
cnf(s2797,plain,
( spl2_22
| spl2_23
| spl2_205
| spl2_221
| ~ spl2_367 ),
inference(sat_conversion,[],[f35145]) ).
cnf(s2814,plain,
( ~ spl2_31
| ~ spl2_50
| ~ spl2_56 ),
inference(sat_conversion,[],[f35272]) ).
cnf(s2815,plain,
( ~ spl2_31
| spl2_68
| spl2_123 ),
inference(sat_conversion,[],[f35274]) ).
cnf(s2816,plain,
( ~ spl2_31
| spl2_40 ),
inference(sat_conversion,[],[f35277]) ).
cnf(s2817,plain,
( ~ spl2_31
| spl2_70
| spl2_123 ),
inference(sat_conversion,[],[f35280]) ).
cnf(s2825,plain,
( ~ spl2_368
| spl2_459
| spl2_489
| ~ spl2_513 ),
inference(sat_conversion,[],[f35392]) ).
cnf(s2829,plain,
( ~ spl2_366
| spl2_489
| ~ spl2_513
| spl2_517 ),
inference(sat_conversion,[],[f35395]) ).
cnf(s2842,plain,
( ~ spl2_39
| ~ spl2_178
| spl2_211 ),
inference(sat_conversion,[],[f35580]) ).
cnf(s2847,plain,
( ~ spl2_366
| spl2_696
| spl2_721
| ~ spl2_787 ),
inference(sat_conversion,[],[f35673]) ).
cnf(s2849,plain,
( ~ spl2_368
| spl2_510
| spl2_696
| ~ spl2_787 ),
inference(sat_conversion,[],[f35675]) ).
cnf(s2851,plain,
( ~ spl2_8
| ~ spl2_787
| spl2_791 ),
inference(sat_conversion,[],[f35677]) ).
cnf(s2855,plain,
( ~ spl2_23
| ~ spl2_39
| ~ spl2_472 ),
inference(sat_conversion,[],[f35717]) ).
cnf(s2857,plain,
( ~ spl2_18
| ~ spl2_23
| spl2_188
| ~ spl2_472 ),
inference(sat_conversion,[],[f35726]) ).
cnf(s2859,plain,
( spl2_362
| ~ spl2_860 ),
inference(sat_conversion,[],[f35756]) ).
cnf(s2860,plain,
( spl2_361
| ~ spl2_860 ),
inference(sat_conversion,[],[f35757]) ).
cnf(s2871,plain,
( ~ spl2_25
| spl2_154
| ~ spl2_897 ),
inference(sat_conversion,[],[f35877]) ).
cnf(s2886,plain,
( ~ spl2_492
| ~ spl2_503
| ~ spl2_504
| ~ spl2_547 ),
inference(sat_conversion,[],[f36176]) ).
cnf(s2888,plain,
( spl2_28
| ~ spl2_123
| spl2_803 ),
inference(sat_conversion,[],[f36195]) ).
cnf(s2890,plain,
( ~ spl2_163
| ~ spl2_176
| spl2_188
| ~ spl2_469 ),
inference(sat_conversion,[],[f36231]) ).
cnf(s2903,plain,
( ~ spl2_698
| spl2_702
| spl2_968 ),
inference(sat_conversion,[],[f36338]) ).
cnf(s2906,plain,
( ~ spl2_8
| spl2_500
| ~ spl2_698
| ~ spl2_787 ),
inference(sat_conversion,[],[f36344]) ).
cnf(s2914,plain,
( ~ spl2_43
| ~ spl2_504
| ~ spl2_516 ),
inference(sat_conversion,[],[f36474]) ).
cnf(s2916,plain,
( ~ spl2_241
| ~ spl2_497
| ~ spl2_513 ),
inference(sat_conversion,[],[f36510]) ).
cnf(s2919,plain,
( ~ spl2_241
| spl2_501
| ~ spl2_568 ),
inference(sat_conversion,[],[f36528]) ).
cnf(s2920,plain,
( ~ spl2_264
| ~ spl2_713
| ~ spl2_804 ),
inference(sat_conversion,[],[f36554]) ).
cnf(s2921,plain,
( ~ spl2_39
| ~ spl2_804 ),
inference(sat_conversion,[],[f36556]) ).
cnf(s2922,plain,
( ~ spl2_176
| ~ spl2_692
| ~ spl2_804 ),
inference(sat_conversion,[],[f36559]) ).
cnf(s2945,plain,
( ~ spl2_503
| ~ spl2_694
| ~ spl2_714
| spl2_715 ),
inference(sat_conversion,[],[f36976]) ).
cnf(s2946,plain,
( ~ spl2_513
| ~ spl2_693
| ~ spl2_791 ),
inference(sat_conversion,[],[f37028]) ).
cnf(s2952,plain,
( ~ spl2_8
| spl2_499
| spl2_500
| ~ spl2_693
| spl2_710
| spl2_712 ),
inference(sat_conversion,[],[f37041]) ).
cnf(s2953,plain,
( ~ spl2_8
| ~ spl2_513
| ~ spl2_693
| spl2_710 ),
inference(sat_conversion,[],[f37043]) ).
cnf(s2954,plain,
( ~ spl2_8
| spl2_500
| ~ spl2_693
| spl2_710
| spl2_712 ),
inference(sat_conversion,[],[f37045]) ).
cnf(s2956,plain,
( ~ spl2_492
| ~ spl2_503
| ~ spl2_511
| ~ spl2_550 ),
inference(sat_conversion,[],[f37048]) ).
cnf(s2958,plain,
( ~ spl2_234
| spl2_503
| ~ spl2_926 ),
inference(sat_conversion,[],[f37050]) ).
cnf(s2970,plain,
( ~ spl2_164
| ~ spl2_179
| spl2_240 ),
inference(sat_conversion,[],[f37161]) ).
cnf(s2975,plain,
( ~ spl2_179
| ~ spl2_234
| ~ spl2_549 ),
inference(sat_conversion,[],[f37167]) ).
cnf(s2976,plain,
( ~ spl2_179
| spl2_186
| spl2_370 ),
inference(sat_conversion,[],[f37168]) ).
cnf(s2981,plain,
( ~ spl2_180
| spl2_370
| ~ spl2_544 ),
inference(sat_conversion,[],[f37237]) ).
cnf(s2990,plain,
( ~ spl2_365
| ~ spl2_691
| ~ spl2_787 ),
inference(sat_conversion,[],[f37353]) ).
cnf(s2997,plain,
( ~ spl2_8
| spl2_186
| ~ spl2_691
| ~ spl2_787 ),
inference(sat_conversion,[],[f37366]) ).
cnf(s3001,plain,
( ~ spl2_231
| ~ spl2_691
| spl2_727 ),
inference(sat_conversion,[],[f37402]) ).
cnf(s3003,plain,
( ~ spl2_163
| ~ spl2_365
| ~ spl2_691
| ~ spl2_727
| spl2_804 ),
inference(sat_conversion,[],[f37423]) ).
cnf(s3004,plain,
( ~ spl2_263
| ~ spl2_713
| spl2_719
| ~ spl2_727 ),
inference(sat_conversion,[],[f37424]) ).
cnf(s3016,plain,
( ~ spl2_43
| ~ spl2_192
| ~ spl2_325
| spl2_611 ),
inference(sat_conversion,[],[f37636]) ).
cnf(s3021,plain,
( ~ spl2_9
| ~ spl2_163
| spl2_472
| ~ spl2_485 ),
inference(sat_conversion,[],[f37770]) ).
cnf(s3031,plain,
( ~ spl2_179
| spl2_221
| ~ spl2_235
| ~ spl2_251 ),
inference(sat_conversion,[],[f37807]) ).
cnf(s3043,plain,
( ~ spl2_192
| ~ spl2_696
| ~ spl2_714
| spl2_715 ),
inference(sat_conversion,[],[f38105]) ).
cnf(s3044,plain,
( spl2_714
| ~ spl2_787
| spl2_977 ),
inference(sat_conversion,[],[f38109]) ).
cnf(s3058,plain,
( spl2_21
| ~ spl2_25
| ~ spl2_68 ),
inference(sat_conversion,[],[f38141]) ).
cnf(s3060,plain,
( ~ spl2_221
| ~ spl2_692
| ~ spl2_716 ),
inference(sat_conversion,[],[f38144]) ).
cnf(s3073,plain,
( ~ spl2_520
| ~ spl2_697
| ~ spl2_716 ),
inference(sat_conversion,[],[f38182]) ).
cnf(s3075,plain,
( ~ spl2_192
| ~ spl2_489
| spl2_502
| ~ spl2_503 ),
inference(sat_conversion,[],[f38188]) ).
cnf(s3080,plain,
( ~ spl2_550
| ~ spl2_692
| ~ spl2_714
| ~ spl2_727 ),
inference(sat_conversion,[],[f38207]) ).
cnf(s3084,plain,
( ~ spl2_28
| spl2_221
| ~ spl2_365 ),
inference(sat_conversion,[],[f38215]) ).
cnf(s3092,plain,
( ~ spl2_39
| spl2_183
| ~ spl2_692 ),
inference(sat_conversion,[],[f38229]) ).
cnf(s3096,plain,
( spl2_22
| ~ spl2_163
| spl2_211
| ~ spl2_803 ),
inference(sat_conversion,[],[f38236]) ).
cnf(s3102,plain,
( ~ spl2_8
| spl2_23
| spl2_161
| ~ spl2_164
| ~ spl2_169
| spl2_183
| ~ spl2_221 ),
inference(sat_conversion,[],[f38245]) ).
cnf(s3110,plain,
( ~ spl2_9
| ~ spl2_186
| spl2_513
| ~ spl2_518 ),
inference(sat_conversion,[],[f38256]) ).
cnf(s3112,plain,
( ~ spl2_180
| spl2_192
| ~ spl2_494 ),
inference(sat_conversion,[],[f38259]) ).
cnf(s3119,plain,
( ~ spl2_1
| spl2_9
| spl2_59 ),
inference(sat_conversion,[],[f38269]) ).
cnf(s3125,plain,
( spl2_192
| ~ spl2_234
| ~ spl2_370 ),
inference(sat_conversion,[],[f38279]) ).
cnf(s3128,plain,
( spl2_9
| spl2_998 ),
inference(sat_conversion,[],[f38291]) ).
cnf(s3138,plain,
( ~ spl2_1
| ~ spl2_51
| spl2_702
| ~ spl2_787 ),
inference(sat_conversion,[],[f38314]) ).
cnf(s3162,plain,
( spl2_28
| spl2_34
| ~ spl2_43
| ~ spl2_70 ),
inference(sat_conversion,[],[f38353]) ).
cnf(s3169,plain,
( ~ spl2_23
| spl2_34
| ~ spl2_43
| ~ spl2_70 ),
inference(sat_conversion,[],[f38379]) ).
cnf(s3175,plain,
( ~ spl2_43
| spl2_166
| ~ spl2_185
| spl2_212 ),
inference(sat_conversion,[],[f38403]) ).
cnf(s3202,plain,
( ~ spl2_43
| ~ spl2_714
| spl2_715
| spl2_787 ),
inference(sat_conversion,[],[f38562]) ).
cnf(s3203,plain,
( ~ spl2_70
| ~ spl2_714
| ~ spl2_716 ),
inference(sat_conversion,[],[f38564]) ).
cnf(s3207,plain,
( ~ spl2_70
| ~ spl2_503
| ~ spl2_541 ),
inference(sat_conversion,[],[f38580]) ).
cnf(s3208,plain,
( ~ spl2_43
| spl2_502
| ~ spl2_503
| spl2_513 ),
inference(sat_conversion,[],[f38581]) ).
cnf(s3209,plain,
( spl2_43
| spl2_248 ),
inference(sat_conversion,[],[f38582]) ).
cnf(s3210,plain,
( ~ spl2_1
| ~ spl2_51
| ~ spl2_164
| spl2_175 ),
inference(sat_conversion,[],[f38583]) ).
cnf(s3214,plain,
( ~ spl2_6
| ~ spl2_500
| spl2_509
| spl2_513 ),
inference(sat_conversion,[],[f38591]) ).
cnf(s3215,plain,
( spl2_12
| ~ spl2_51
| ~ spl2_164
| spl2_175 ),
inference(sat_conversion,[],[f38594]) ).
cnf(s3217,plain,
( spl2_7
| spl2_43
| spl2_1004 ),
inference(sat_conversion,[],[f38602]) ).
cnf(s3220,plain,
( spl2_16
| spl2_43 ),
inference(sat_conversion,[],[f38608]) ).
cnf(s3224,plain,
( ~ spl2_6
| ~ spl2_23
| spl2_28
| spl2_37 ),
inference(sat_conversion,[],[f38616]) ).
cnf(s3241,plain,
( ~ spl2_16
| spl2_21
| ~ spl2_106 ),
inference(sat_conversion,[],[f38643]) ).
cnf(s3246,plain,
( spl2_6
| spl2_8
| ~ spl2_22 ),
inference(sat_conversion,[],[f38743]) ).
cnf(s3250,plain,
( ~ spl2_22
| spl2_188 ),
inference(sat_conversion,[],[f38748]) ).
cnf(s3255,plain,
( ~ spl2_22
| spl2_161 ),
inference(sat_conversion,[],[f38754]) ).
cnf(s3261,plain,
( spl2_6
| ~ spl2_22
| ~ spl2_23 ),
inference(sat_conversion,[],[f38761]) ).
cnf(s3264,plain,
( ~ spl2_22
| ~ spl2_164
| spl2_166 ),
inference(sat_conversion,[],[f38764]) ).
cnf(s3270,plain,
( ~ spl2_22
| ~ spl2_34
| spl2_77 ),
inference(sat_conversion,[],[f38775]) ).
cnf(s3275,plain,
( ~ spl2_6
| ~ spl2_22
| spl2_69 ),
inference(sat_conversion,[],[f38781]) ).
cnf(s3282,plain,
( spl2_21
| spl2_22
| spl2_191
| spl2_897 ),
inference(sat_conversion,[],[f38817]) ).
cnf(s3283,plain,
( spl2_22
| spl2_491
| spl2_492 ),
inference(sat_conversion,[],[f38818]) ).
cnf(s3284,plain,
( ~ spl2_16
| spl2_22
| spl2_57
| spl2_348 ),
inference(sat_conversion,[],[f38819]) ).
cnf(s3285,plain,
( spl2_22
| spl2_176
| spl2_180 ),
inference(sat_conversion,[],[f38820]) ).
cnf(s3286,plain,
( spl2_8
| spl2_22
| spl2_57 ),
inference(sat_conversion,[],[f38821]) ).
cnf(s3287,plain,
( ~ spl2_16
| spl2_22
| spl2_57
| spl2_347 ),
inference(sat_conversion,[],[f38822]) ).
cnf(s3288,plain,
( spl2_22
| spl2_489
| spl2_490 ),
inference(sat_conversion,[],[f38823]) ).
cnf(s3289,plain,
( spl2_22
| spl2_178
| spl2_179 ),
inference(sat_conversion,[],[f38824]) ).
cnf(s3294,plain,
( ~ spl2_52
| spl2_433 ),
inference(sat_conversion,[],[f38859]) ).
cnf(s3297,plain,
( spl2_22
| ~ spl2_264
| ~ spl2_950 ),
inference(sat_conversion,[],[f38878]) ).
cnf(s3307,plain,
( ~ spl2_34
| ~ spl2_154
| ~ spl2_191 ),
inference(sat_conversion,[],[f38933]) ).
cnf(s3364,plain,
( spl2_161
| ~ spl2_371
| ~ spl2_950 ),
inference(sat_conversion,[],[f39223]) ).
cnf(s3367,plain,
( ~ spl2_164
| ~ spl2_233
| ~ spl2_1004 ),
inference(sat_conversion,[],[f39231]) ).
cnf(s3372,plain,
( spl2_22
| spl2_185
| spl2_191
| spl2_374 ),
inference(sat_conversion,[],[f39240]) ).
cnf(s3415,plain,
( ~ spl2_23
| spl2_37
| ~ spl2_39
| ~ spl2_501 ),
inference(sat_conversion,[],[f39506]) ).
cnf(s3419,plain,
( spl2_17
| ~ spl2_348 ),
inference(sat_conversion,[],[f39536]) ).
cnf(s3428,plain,
( ~ spl2_51
| spl2_185
| ~ spl2_464 ),
inference(sat_conversion,[],[f39645]) ).
cnf(s3441,plain,
( ~ spl2_175
| spl2_702
| ~ spl2_721 ),
inference(sat_conversion,[],[f39786]) ).
cnf(s3445,plain,
( ~ spl2_544
| ~ spl2_620
| spl2_926 ),
inference(sat_conversion,[],[f39847]) ).
cnf(s3487,plain,
( ~ spl2_164
| ~ spl2_695
| spl2_723 ),
inference(sat_conversion,[],[f40245]) ).
cnf(s3491,plain,
( ~ spl2_231
| ~ spl2_491
| ~ spl2_620 ),
inference(sat_conversion,[],[f40266]) ).
cnf(s3512,plain,
( spl2_710
| spl2_787 ),
inference(sat_conversion,[],[f40436]) ).
cnf(s3517,plain,
( ~ spl2_164
| ~ spl2_491
| spl2_506
| ~ spl2_776 ),
inference(sat_conversion,[],[f40445]) ).
cnf(s3520,plain,
( ~ spl2_21
| spl2_34
| ~ spl2_39
| ~ spl2_192 ),
inference(sat_conversion,[],[f40450]) ).
cnf(s3526,plain,
( ~ spl2_98
| spl2_297
| ~ spl2_348 ),
inference(sat_conversion,[],[f40466]) ).
cnf(s3542,plain,
( ~ spl2_7
| ~ spl2_541 ),
inference(sat_conversion,[],[f40510]) ).
cnf(s3543,plain,
( ~ spl2_7
| ~ spl2_716 ),
inference(sat_conversion,[],[f40512]) ).
cnf(s3552,plain,
( ~ spl2_23
| spl2_37
| ~ spl2_39
| ~ spl2_264 ),
inference(sat_conversion,[],[f40523]) ).
cnf(s3557,plain,
( ~ spl2_164
| ~ spl2_491
| spl2_504
| ~ spl2_776 ),
inference(sat_conversion,[],[f40531]) ).
cnf(s3563,plain,
( ~ spl2_164
| spl2_175
| ~ spl2_348 ),
inference(sat_conversion,[],[f40545]) ).
cnf(s3575,plain,
( ~ spl2_69
| ~ spl2_161
| spl2_580 ),
inference(sat_conversion,[],[f40672]) ).
cnf(s3581,plain,
( spl2_28
| ~ spl2_161
| ~ spl2_164 ),
inference(sat_conversion,[],[f40677]) ).
cnf(s3582,plain,
( ~ spl2_161
| ~ spl2_264
| spl2_526 ),
inference(sat_conversion,[],[f40679]) ).
cnf(s3583,plain,
( ~ spl2_161
| spl2_227
| ~ spl2_733 ),
inference(sat_conversion,[],[f40683]) ).
cnf(s3584,plain,
( ~ spl2_6
| ~ spl2_161
| spl2_588 ),
inference(sat_conversion,[],[f40684]) ).
cnf(s3585,plain,
( ~ spl2_161
| ~ spl2_371
| spl2_728 ),
inference(sat_conversion,[],[f40686]) ).
cnf(s3590,plain,
( spl2_6
| ~ spl2_51
| ~ spl2_59
| ~ spl2_161 ),
inference(sat_conversion,[],[f40693]) ).
cnf(s3591,plain,
( spl2_6
| ~ spl2_161
| ~ spl2_264 ),
inference(sat_conversion,[],[f40694]) ).
cnf(s3593,plain,
( spl2_6
| spl2_8
| ~ spl2_161 ),
inference(sat_conversion,[],[f40696]) ).
cnf(s3594,plain,
( spl2_8
| ~ spl2_161
| ~ spl2_544 ),
inference(sat_conversion,[],[f40697]) ).
cnf(s3595,plain,
( ~ spl2_23
| ~ spl2_161
| spl2_186 ),
inference(sat_conversion,[],[f40699]) ).
cnf(s3596,plain,
( spl2_40
| spl2_69
| ~ spl2_161 ),
inference(sat_conversion,[],[f40701]) ).
cnf(s3601,plain,
( spl2_6
| spl2_82
| ~ spl2_161 ),
inference(sat_conversion,[],[f40707]) ).
cnf(s3603,plain,
( spl2_31
| spl2_69
| ~ spl2_161 ),
inference(sat_conversion,[],[f40708]) ).
cnf(s3615,plain,
( ~ spl2_25
| ~ spl2_28
| ~ spl2_1004 ),
inference(sat_conversion,[],[f40794]) ).
cnf(s3616,plain,
( ~ spl2_28
| spl2_70
| ~ spl2_347 ),
inference(sat_conversion,[],[f40796]) ).
cnf(s3631,plain,
( ~ spl2_100
| spl2_371 ),
inference(sat_conversion,[],[f40867]) ).
cnf(s3649,plain,
( ~ spl2_37
| ~ spl2_163
| ~ spl2_191 ),
inference(sat_conversion,[],[f40966]) ).
cnf(s3653,plain,
( spl2_21
| spl2_161
| spl2_221
| spl2_816 ),
inference(sat_conversion,[],[f40974]) ).
cnf(s3676,plain,
( ~ spl2_513
| ~ spl2_569
| ~ spl2_1004 ),
inference(sat_conversion,[],[f41123]) ).
cnf(s3729,plain,
( spl2_21
| ~ spl2_154
| ~ spl2_188 ),
inference(sat_conversion,[],[f41422]) ).
cnf(s3731,plain,
( spl2_164
| ~ spl2_188
| ~ spl2_513 ),
inference(sat_conversion,[],[f41424]) ).
cnf(s3734,plain,
( spl2_70
| ~ spl2_185
| ~ spl2_188 ),
inference(sat_conversion,[],[f41432]) ).
cnf(s3740,plain,
( spl2_31
| ~ spl2_172
| ~ spl2_188 ),
inference(sat_conversion,[],[f41451]) ).
cnf(s3747,plain,
( ~ spl2_43
| spl2_164
| ~ spl2_264
| ~ spl2_550 ),
inference(sat_conversion,[],[f41465]) ).
cnf(s3784,plain,
( spl2_21
| ~ spl2_28
| ~ spl2_348 ),
inference(sat_conversion,[],[f41709]) ).
cnf(s3790,plain,
( ~ spl2_12
| spl2_70 ),
inference(sat_conversion,[],[f41766]) ).
cnf(s3791,plain,
( ~ spl2_12
| spl2_192 ),
inference(sat_conversion,[],[f41768]) ).
cnf(s3795,plain,
( ~ spl2_180
| spl2_1025 ),
inference(sat_conversion,[],[f41808]) ).
cnf(s3802,plain,
( spl2_140
| ~ spl2_182 ),
inference(sat_conversion,[],[f41855]) ).
cnf(s3804,plain,
( ~ spl2_180
| ~ spl2_241
| ~ spl2_464 ),
inference(sat_conversion,[],[f41901]) ).
cnf(s3827,plain,
( ~ spl2_154
| ~ spl2_176
| ~ spl2_511
| ~ spl2_518 ),
inference(sat_conversion,[],[f42085]) ).
cnf(s3844,plain,
( ~ spl2_154
| ~ spl2_502
| ~ spl2_526 ),
inference(sat_conversion,[],[f42220]) ).
cnf(s3849,plain,
( spl2_192
| ~ spl2_503
| ~ spl2_517 ),
inference(sat_conversion,[],[f42317]) ).
cnf(s3861,plain,
( ~ spl2_23
| spl2_513
| ~ spl2_520
| spl2_541 ),
inference(sat_conversion,[],[f42337]) ).
cnf(s3872,plain,
( spl2_241
| spl2_371 ),
inference(sat_conversion,[],[f42420]) ).
cnf(s3874,plain,
( ~ spl2_9
| ~ spl2_206
| ~ spl2_371 ),
inference(sat_conversion,[],[f42429]) ).
cnf(s3880,plain,
( ~ spl2_212
| ~ spl2_504
| ~ spl2_511 ),
inference(sat_conversion,[],[f42491]) ).
cnf(s3882,plain,
( spl2_166
| ~ spl2_510
| ~ spl2_513 ),
inference(sat_conversion,[],[f42578]) ).
cnf(s3886,plain,
( spl2_192
| ~ spl2_510
| ~ spl2_714 ),
inference(sat_conversion,[],[f42585]) ).
cnf(s3895,plain,
( ~ spl2_23
| spl2_37
| ~ spl2_39
| ~ spl2_371 ),
inference(sat_conversion,[],[f42616]) ).
cnf(s3908,plain,
( ~ spl2_1
| ~ spl2_51
| spl2_154
| ~ spl2_166 ),
inference(sat_conversion,[],[f42703]) ).
cnf(s3917,plain,
( ~ spl2_351
| spl2_500 ),
inference(sat_conversion,[],[f42720]) ).
cnf(s3918,plain,
( spl2_163
| ~ spl2_351 ),
inference(sat_conversion,[],[f42722]) ).
cnf(s3967,plain,
( ~ spl2_491
| spl2_1025 ),
inference(sat_conversion,[],[f43076]) ).
cnf(s3974,plain,
( ~ spl2_350
| spl2_501
| ~ spl2_513 ),
inference(sat_conversion,[],[f43101]) ).
cnf(s3975,plain,
( ~ spl2_166
| spl2_264
| ~ spl2_350 ),
inference(sat_conversion,[],[f43103]) ).
cnf(s3982,plain,
( ~ spl2_154
| spl2_188
| ~ spl2_511
| ~ spl2_524 ),
inference(sat_conversion,[],[f43237]) ).
cnf(s3993,plain,
( ~ spl2_5
| ~ spl2_186
| ~ spl2_692
| spl2_787 ),
inference(sat_conversion,[],[f43389]) ).
cnf(s3996,plain,
( ~ spl2_81
| ~ spl2_186
| ~ spl2_371
| spl2_388 ),
inference(sat_conversion,[],[f43442]) ).
cnf(s3999,plain,
( spl2_161
| spl2_163
| ~ spl2_352 ),
inference(sat_conversion,[],[f43461]) ).
cnf(s4005,plain,
( ~ spl2_482
| spl2_502
| ~ spl2_503
| ~ spl2_511 ),
inference(sat_conversion,[],[f43489]) ).
cnf(s4029,plain,
( ~ spl2_39
| ~ spl2_1032 ),
inference(sat_conversion,[],[f43709]) ).
cnf(s4030,plain,
( ~ spl2_489
| ~ spl2_697
| ~ spl2_1032 ),
inference(sat_conversion,[],[f43711]) ).
cnf(s4035,plain,
( ~ spl2_57
| ~ spl2_76
| ~ spl2_371 ),
inference(sat_conversion,[],[f43718]) ).
cnf(s4048,plain,
( ~ spl2_76
| ~ spl2_191
| ~ spl2_526 ),
inference(sat_conversion,[],[f43739]) ).
cnf(s4051,plain,
( ~ spl2_70
| ~ spl2_76
| ~ spl2_185 ),
inference(sat_conversion,[],[f43745]) ).
cnf(s4070,plain,
( ~ spl2_2
| ~ spl2_32
| spl2_868 ),
inference(sat_conversion,[],[f43781]) ).
cnf(s4079,plain,
( ~ spl2_57
| ~ spl2_755 ),
inference(sat_conversion,[],[f43862]) ).
cnf(s4083,plain,
( ~ spl2_57
| ~ spl2_741 ),
inference(sat_conversion,[],[f43869]) ).
cnf(s4090,plain,
( spl2_22
| ~ spl2_191
| ~ spl2_584 ),
inference(sat_conversion,[],[f43922]) ).
cnf(s4101,plain,
( ~ spl2_2
| ~ spl2_186
| spl2_205
| ~ spl2_868 ),
inference(sat_conversion,[],[f44016]) ).
cnf(s4103,plain,
( ~ spl2_2
| ~ spl2_500
| spl2_508
| ~ spl2_868 ),
inference(sat_conversion,[],[f44018]) ).
cnf(s4104,plain,
( ~ spl2_2
| ~ spl2_176
| spl2_206
| ~ spl2_482 ),
inference(sat_conversion,[],[f44029]) ).
cnf(s4119,plain,
( ~ spl2_179
| ~ spl2_497
| ~ spl2_620 ),
inference(sat_conversion,[],[f44158]) ).
cnf(s4137,plain,
( spl2_175
| ~ spl2_179
| spl2_240 ),
inference(sat_conversion,[],[f44179]) ).
cnf(s4151,plain,
( ~ spl2_43
| spl2_77
| ~ spl2_264
| ~ spl2_482 ),
inference(sat_conversion,[],[f44218]) ).
cnf(s4153,plain,
( spl2_185
| ~ spl2_544
| spl2_752 ),
inference(sat_conversion,[],[f44224]) ).
cnf(s4169,plain,
( ~ spl2_153
| spl2_154 ),
inference(sat_conversion,[],[f44312]) ).
cnf(s4202,plain,
( spl2_459
| ~ spl2_517 ),
inference(sat_conversion,[],[f44620]) ).
cnf(s4211,plain,
( ~ spl2_513
| spl2_1040 ),
inference(sat_conversion,[],[f44676]) ).
cnf(s4219,plain,
( ~ spl2_360
| ~ spl2_513
| ~ spl2_733 ),
inference(sat_conversion,[],[f44736]) ).
cnf(s4229,plain,
( spl2_188
| spl2_191
| ~ spl2_234
| spl2_494 ),
inference(sat_conversion,[],[f44749]) ).
cnf(s4236,plain,
( spl2_188
| spl2_191
| ~ spl2_234
| spl2_493 ),
inference(sat_conversion,[],[f44764]) ).
cnf(s4243,plain,
( spl2_21
| spl2_70
| spl2_161
| spl2_221
| ~ spl2_233 ),
inference(sat_conversion,[],[f44775]) ).
cnf(s4244,plain,
( spl2_43
| spl2_175
| spl2_192
| spl2_371 ),
inference(sat_conversion,[],[f44776]) ).
cnf(s4245,plain,
( spl2_21
| spl2_22
| spl2_70
| spl2_191
| ~ spl2_234 ),
inference(sat_conversion,[],[f44777]) ).
cnf(s4246,plain,
( spl2_21
| spl2_43
| spl2_57
| spl2_70 ),
inference(sat_conversion,[],[f44779]) ).
cnf(s4249,plain,
( spl2_175
| spl2_178
| spl2_185
| spl2_188
| ~ spl2_233 ),
inference(sat_conversion,[],[f44782]) ).
cnf(s4250,plain,
( spl2_175
| spl2_178
| spl2_185
| spl2_188
| spl2_192 ),
inference(sat_conversion,[],[f44783]) ).
cnf(s4251,plain,
( spl2_178
| spl2_185
| spl2_188
| spl2_374 ),
inference(sat_conversion,[],[f44784]) ).
cnf(s4253,plain,
( spl2_9
| ~ spl2_16
| ~ spl2_166
| spl2_185 ),
inference(sat_conversion,[],[f44786]) ).
cnf(s4254,plain,
( ~ spl2_16
| spl2_185
| ~ spl2_860 ),
inference(sat_conversion,[],[f44787]) ).
cnf(s4265,plain,
( ~ spl2_21
| spl2_34
| ~ spl2_39
| ~ spl2_185 ),
inference(sat_conversion,[],[f44831]) ).
cnf(s4267,plain,
( ~ spl2_52
| spl2_175 ),
inference(sat_conversion,[],[f44845]) ).
cnf(s4291,plain,
( ~ spl2_620
| spl2_1040 ),
inference(sat_conversion,[],[f45045]) ).
cnf(s4295,plain,
( spl2_510
| ~ spl2_700
| ~ spl2_755 ),
inference(sat_conversion,[],[f45061]) ).
cnf(s4296,plain,
( spl2_204
| ~ spl2_700
| ~ spl2_754 ),
inference(sat_conversion,[],[f45062]) ).
cnf(s4297,plain,
( ~ spl2_34
| ~ spl2_700
| ~ spl2_702 ),
inference(sat_conversion,[],[f45064]) ).
cnf(s4298,plain,
( spl2_205
| ~ spl2_584
| ~ spl2_700 ),
inference(sat_conversion,[],[f45065]) ).
cnf(s4299,plain,
( ~ spl2_37
| ~ spl2_700
| ~ spl2_710 ),
inference(sat_conversion,[],[f45068]) ).
cnf(s4304,plain,
( ~ spl2_100
| spl2_713 ),
inference(sat_conversion,[],[f45133]) ).
cnf(s4305,plain,
( spl2_57
| ~ spl2_100 ),
inference(sat_conversion,[],[f45135]) ).
cnf(s4306,plain,
( ~ spl2_100
| spl2_264 ),
inference(sat_conversion,[],[f45137]) ).
cnf(s4307,plain,
( ~ spl2_100
| ~ spl2_755 ),
inference(sat_conversion,[],[f45139]) ).
cnf(s4308,plain,
( spl2_9
| spl2_264
| ~ spl2_493 ),
inference(sat_conversion,[],[f45156]) ).
cnf(s4313,plain,
( ~ spl2_490
| spl2_1040 ),
inference(sat_conversion,[],[f45246]) ).
cnf(s4328,plain,
( ~ spl2_691
| spl2_1025 ),
inference(sat_conversion,[],[f45348]) ).
cnf(s4337,plain,
( ~ spl2_549
| ~ spl2_695
| ~ spl2_786 ),
inference(sat_conversion,[],[f45410]) ).
cnf(s4344,plain,
( spl2_175
| spl2_192
| ~ spl2_695
| ~ spl2_786 ),
inference(sat_conversion,[],[f45417]) ).
cnf(s4351,plain,
( ~ spl2_698
| spl2_1040 ),
inference(sat_conversion,[],[f45528]) ).
cnf(s4362,plain,
( ~ spl2_497
| ~ spl2_695
| ~ spl2_698 ),
inference(sat_conversion,[],[f45616]) ).
cnf(s4371,plain,
( ~ spl2_528
| ~ spl2_691
| ~ spl2_693 ),
inference(sat_conversion,[],[f45719]) ).
cnf(s4378,plain,
( ~ spl2_492
| ~ spl2_500
| spl2_579
| ~ spl2_695
| ~ spl2_791 ),
inference(sat_conversion,[],[f45790]) ).
cnf(s4381,plain,
( ~ spl2_166
| spl2_500
| ~ spl2_620
| ~ spl2_998 ),
inference(sat_conversion,[],[f45795]) ).
cnf(s4385,plain,
( ~ spl2_227
| spl2_501
| ~ spl2_926 ),
inference(sat_conversion,[],[f45801]) ).
cnf(s4392,plain,
( spl2_22
| spl2_40
| spl2_224 ),
inference(sat_conversion,[],[f45813]) ).
cnf(s4393,plain,
( spl2_224
| ~ spl2_544
| spl2_1043 ),
inference(sat_conversion,[],[f45819]) ).
cnf(s4400,plain,
( ~ spl2_21
| spl2_28
| spl2_34
| ~ spl2_43 ),
inference(sat_conversion,[],[f45833]) ).
cnf(s4401,plain,
( spl2_40
| spl2_188
| spl2_224 ),
inference(sat_conversion,[],[f45835]) ).
cnf(s4403,plain,
( spl2_40
| spl2_161
| spl2_184 ),
inference(sat_conversion,[],[f45839]) ).
cnf(s4406,plain,
( spl2_224
| spl2_383 ),
inference(sat_conversion,[],[f45842]) ).
cnf(s4407,plain,
( spl2_184
| spl2_540 ),
inference(sat_conversion,[],[f45843]) ).
cnf(s4408,plain,
( ~ spl2_25
| spl2_182
| spl2_188
| spl2_224 ),
inference(sat_conversion,[],[f45844]) ).
cnf(s4422,plain,
( ~ spl2_28
| spl2_100
| spl2_106 ),
inference(sat_conversion,[],[f45911]) ).
cnf(s4447,plain,
( ~ spl2_106
| spl2_1044 ),
inference(sat_conversion,[],[f46075]) ).
cnf(s4448,plain,
( ~ spl2_21
| ~ spl2_212
| ~ spl2_224 ),
inference(sat_conversion,[],[f46089]) ).
cnf(s4450,plain,
( ~ spl2_383
| ~ spl2_926
| spl2_1046 ),
inference(sat_conversion,[],[f46094]) ).
cnf(s4458,plain,
( ~ spl2_177
| ~ spl2_180
| ~ spl2_752 ),
inference(sat_conversion,[],[f46172]) ).
cnf(s4471,plain,
( ~ spl2_77
| ~ spl2_500
| ~ spl2_504 ),
inference(sat_conversion,[],[f46217]) ).
cnf(s4472,plain,
( ~ spl2_77
| ~ spl2_154
| ~ spl2_163 ),
inference(sat_conversion,[],[f46219]) ).
cnf(s4494,plain,
( ~ spl2_21
| ~ spl2_184
| ~ spl2_206 ),
inference(sat_conversion,[],[f46392]) ).
cnf(s4500,plain,
( ~ spl2_50
| spl2_264
| ~ spl2_1043 ),
inference(sat_conversion,[],[f46469]) ).
cnf(s4501,plain,
( ~ spl2_180
| ~ spl2_225
| ~ spl2_1043 ),
inference(sat_conversion,[],[f46470]) ).
cnf(s4503,plain,
( ~ spl2_21
| ~ spl2_502
| ~ spl2_1046 ),
inference(sat_conversion,[],[f46487]) ).
cnf(s4512,plain,
( ~ spl2_691
| spl2_709
| spl2_710 ),
inference(sat_conversion,[],[f46598]) ).
cnf(s4526,plain,
( ~ spl2_240
| ~ spl2_695
| spl2_728 ),
inference(sat_conversion,[],[f46722]) ).
cnf(s4529,plain,
( ~ spl2_57
| ~ spl2_501
| ~ spl2_541 ),
inference(sat_conversion,[],[f46760]) ).
cnf(s4532,plain,
( ~ spl2_500
| ~ spl2_697
| ~ spl2_719 ),
inference(sat_conversion,[],[f46781]) ).
cnf(s4536,plain,
( ~ spl2_502
| ~ spl2_694
| ~ spl2_702 ),
inference(sat_conversion,[],[f46821]) ).
cnf(s4537,plain,
( ~ spl2_43
| ~ spl2_714
| ~ spl2_719 ),
inference(sat_conversion,[],[f46827]) ).
cnf(s4548,plain,
( ~ spl2_569
| ~ spl2_698
| ~ spl2_977 ),
inference(sat_conversion,[],[f46944]) ).
cnf(s4556,plain,
( ~ spl2_225
| ~ spl2_528
| spl2_1046 ),
inference(sat_conversion,[],[f47025]) ).
cnf(s4557,plain,
( ~ spl2_180
| ~ spl2_528
| ~ spl2_733 ),
inference(sat_conversion,[],[f47027]) ).
cnf(s4558,plain,
( ~ spl2_192
| ~ spl2_503
| ~ spl2_579 ),
inference(sat_conversion,[],[f47043]) ).
cnf(s4560,plain,
( ~ spl2_371
| ~ spl2_501
| ~ spl2_579 ),
inference(sat_conversion,[],[f47047]) ).
cnf(s4561,plain,
( ~ spl2_492
| ~ spl2_579
| ~ spl2_580 ),
inference(sat_conversion,[],[f47048]) ).
cnf(s4568,plain,
( ~ spl2_2
| spl2_714 ),
inference(sat_conversion,[],[f47087]) ).
cnf(s4574,plain,
( ~ spl2_513
| ~ spl2_1044
| spl2_1046 ),
inference(sat_conversion,[],[f47140]) ).
cnf(s4576,plain,
( ~ spl2_227
| ~ spl2_513
| ~ spl2_624 ),
inference(sat_conversion,[],[f47142]) ).
cnf(s4583,plain,
( spl2_175
| ~ spl2_179
| spl2_232 ),
inference(sat_conversion,[],[f47153]) ).
cnf(s4585,plain,
( ~ spl2_2
| spl2_43 ),
inference(sat_conversion,[],[f47156]) ).
cnf(s4586,plain,
( spl2_175
| ~ spl2_695
| spl2_723 ),
inference(sat_conversion,[],[f47158]) ).
cnf(s4593,plain,
( ~ spl2_16
| spl2_154
| ~ spl2_360 ),
inference(sat_conversion,[],[f47167]) ).
cnf(s4596,plain,
( ~ spl2_6
| spl2_164
| ~ spl2_186
| spl2_388 ),
inference(sat_conversion,[],[f47170]) ).
cnf(s4599,plain,
( spl2_9
| ~ spl2_16
| spl2_714
| ~ spl2_787 ),
inference(sat_conversion,[],[f47174]) ).
cnf(s4608,plain,
( spl2_43
| spl2_100
| ~ spl2_166
| ~ spl2_234 ),
inference(sat_conversion,[],[f47184]) ).
cnf(s4620,plain,
( spl2_9
| spl2_43
| spl2_710
| spl2_714 ),
inference(sat_conversion,[],[f47201]) ).
cnf(s4627,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_502 ),
inference(sat_conversion,[],[f47226]) ).
cnf(s4628,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_166
| spl2_185 ),
inference(sat_conversion,[],[f47228]) ).
cnf(s4629,plain,
( ~ spl2_40
| spl2_70
| spl2_73 ),
inference(sat_conversion,[],[f47229]) ).
cnf(s4636,plain,
( ~ spl2_77
| ~ spl2_175
| ~ spl2_186 ),
inference(sat_conversion,[],[f47281]) ).
cnf(s4640,plain,
( ~ spl2_164
| spl2_1025 ),
inference(sat_conversion,[],[f47319]) ).
cnf(s4648,plain,
( ~ spl2_7
| spl2_501 ),
inference(sat_conversion,[],[f47354]) ).
cnf(s4671,plain,
( ~ spl2_6
| ~ spl2_371
| ~ spl2_388 ),
inference(sat_conversion,[],[f47613]) ).
cnf(s4672,plain,
( ~ spl2_6
| ~ spl2_7
| ~ spl2_388 ),
inference(sat_conversion,[],[f47614]) ).
cnf(s4680,plain,
( ~ spl2_490
| ~ spl2_1045
| spl2_1046 ),
inference(sat_conversion,[],[f47730]) ).
cnf(s4699,plain,
( ~ spl2_21
| ~ spl2_70
| ~ spl2_221
| ~ spl2_547 ),
inference(sat_conversion,[],[f47917]) ).
cnf(s4706,plain,
( ~ spl2_7
| ~ spl2_190 ),
inference(sat_conversion,[],[f48087]) ).
cnf(s4723,plain,
( ~ spl2_547
| ~ spl2_692
| ~ spl2_702
| ~ spl2_714 ),
inference(sat_conversion,[],[f48199]) ).
cnf(s4727,plain,
( ~ spl2_693
| spl2_727
| ~ spl2_926 ),
inference(sat_conversion,[],[f48206]) ).
cnf(s4738,plain,
( ~ spl2_77
| ~ spl2_702
| ~ spl2_710 ),
inference(sat_conversion,[],[f48333]) ).
cnf(s4749,plain,
( ~ spl2_7
| ~ spl2_527 ),
inference(sat_conversion,[],[f48442]) ).
cnf(s4751,plain,
( ~ spl2_9
| ~ spl2_21
| spl2_37
| ~ spl2_57 ),
inference(sat_conversion,[],[f48474]) ).
cnf(s4758,plain,
( ~ spl2_176
| ~ spl2_192
| spl2_206
| ~ spl2_482 ),
inference(sat_conversion,[],[f48702]) ).
cnf(s4759,plain,
( ~ spl2_180
| ~ spl2_490
| ~ spl2_624 ),
inference(sat_conversion,[],[f48703]) ).
cnf(s4760,plain,
( ~ spl2_180
| ~ spl2_491
| ~ spl2_926 ),
inference(sat_conversion,[],[f48704]) ).
cnf(s4776,plain,
( ~ spl2_490
| ~ spl2_693
| ~ spl2_723 ),
inference(sat_conversion,[],[f48850]) ).
cnf(s4784,plain,
( ~ spl2_1
| spl2_504
| ~ spl2_698
| ~ spl2_1049 ),
inference(sat_conversion,[],[f49038]) ).
cnf(s4786,plain,
( ~ spl2_698
| spl2_700
| spl2_968 ),
inference(sat_conversion,[],[f49040]) ).
cnf(s4788,plain,
( ~ spl2_21
| ~ spl2_504
| spl2_541
| ~ spl2_1046 ),
inference(sat_conversion,[],[f49042]) ).
cnf(s4796,plain,
( ~ spl2_70
| spl2_502
| ~ spl2_503
| ~ spl2_520 ),
inference(sat_conversion,[],[f49127]) ).
cnf(s4798,plain,
( ~ spl2_21
| ~ spl2_175
| spl2_183
| ~ spl2_184 ),
inference(sat_conversion,[],[f49154]) ).
cnf(s4805,plain,
( ~ spl2_70
| ~ spl2_183
| ~ spl2_192 ),
inference(sat_conversion,[],[f49327]) ).
cnf(s4807,plain,
( ~ spl2_7
| ~ spl2_183 ),
inference(sat_conversion,[],[f49333]) ).
cnf(s4812,plain,
( ~ spl2_540
| ~ spl2_568
| spl2_1046 ),
inference(sat_conversion,[],[f49341]) ).
cnf(s4813,plain,
( spl2_702
| spl2_1049 ),
inference(sat_conversion,[],[f49342]) ).
cnf(s4827,plain,
( ~ spl2_40
| spl2_56
| spl2_57 ),
inference(sat_conversion,[],[f49364]) ).
cnf(s4830,plain,
( ~ spl2_43
| ~ spl2_192
| ~ spl2_388 ),
inference(sat_conversion,[],[f49369]) ).
cnf(s4833,plain,
( ~ spl2_5
| ~ spl2_43
| spl2_164
| ~ spl2_192 ),
inference(sat_conversion,[],[f49371]) ).
cnf(s4834,plain,
( ~ spl2_179
| spl2_221
| spl2_240 ),
inference(sat_conversion,[],[f49372]) ).
cnf(s4837,plain,
( ~ spl2_9
| ~ spl2_43
| spl2_164
| ~ spl2_547 ),
inference(sat_conversion,[],[f49375]) ).
cnf(s4838,plain,
( spl2_161
| spl2_227
| spl2_264 ),
inference(sat_conversion,[],[f49376]) ).
cnf(s4858,plain,
( ~ spl2_21
| ~ spl2_191
| ~ spl2_221
| ~ spl2_463 ),
inference(sat_conversion,[],[f49488]) ).
cnf(s4868,plain,
( spl2_22
| spl2_154
| spl2_224
| spl2_1052 ),
inference(sat_conversion,[],[f49505]) ).
cnf(s4884,plain,
( ~ spl2_21
| ~ spl2_23
| ~ spl2_77 ),
inference(sat_conversion,[],[f49571]) ).
cnf(s4932,plain,
( ~ spl2_388
| ~ spl2_696
| ~ spl2_710 ),
inference(sat_conversion,[],[f50052]) ).
cnf(s4947,plain,
( ~ spl2_70
| ~ spl2_192
| spl2_206
| ~ spl2_221 ),
inference(sat_conversion,[],[f50293]) ).
cnf(s4949,plain,
( spl2_500
| ~ spl2_693
| spl2_1018 ),
inference(sat_conversion,[],[f50295]) ).
cnf(s4956,plain,
( ~ spl2_472
| ~ spl2_500
| ~ spl2_511 ),
inference(sat_conversion,[],[f50302]) ).
cnf(s4957,plain,
( ~ spl2_43
| ~ spl2_503
| ~ spl2_509 ),
inference(sat_conversion,[],[f50304]) ).
cnf(s4977,plain,
( ~ spl2_28
| spl2_371
| ~ spl2_1045 ),
inference(sat_conversion,[],[f50531]) ).
cnf(s4978,plain,
( ~ spl2_504
| ~ spl2_697
| ~ spl2_715 ),
inference(sat_conversion,[],[f50543]) ).
cnf(s4985,plain,
( ~ spl2_1
| spl2_175
| ~ spl2_691
| ~ spl2_1049 ),
inference(sat_conversion,[],[f50592]) ).
cnf(s4988,plain,
( ~ spl2_190
| ~ spl2_489
| ~ spl2_511 ),
inference(sat_conversion,[],[f50623]) ).
cnf(s4989,plain,
( ~ spl2_184
| ~ spl2_190
| ~ spl2_224 ),
inference(sat_conversion,[],[f50625]) ).
cnf(s4993,plain,
( spl2_9
| spl2_57
| ~ spl2_182 ),
inference(sat_conversion,[],[f50631]) ).
cnf(s4995,plain,
( ~ spl2_190
| ~ spl2_696
| ~ spl2_727 ),
inference(sat_conversion,[],[f50635]) ).
cnf(s5009,plain,
( ~ spl2_206
| ~ spl2_696
| ~ spl2_702 ),
inference(sat_conversion,[],[f50700]) ).
cnf(s5011,plain,
( ~ spl2_691
| spl2_699
| spl2_702 ),
inference(sat_conversion,[],[f50702]) ).
cnf(s5034,plain,
( ~ spl2_43
| ~ spl2_57
| ~ spl2_70
| spl2_77 ),
inference(sat_conversion,[],[f50892]) ).
cnf(s5041,plain,
( ~ spl2_175
| ~ spl2_692
| ~ spl2_715 ),
inference(sat_conversion,[],[f51011]) ).
cnf(s5044,plain,
( ~ spl2_43
| ~ spl2_710
| ~ spl2_714
| spl2_715 ),
inference(sat_conversion,[],[f51016]) ).
cnf(s5046,plain,
( spl2_154
| spl2_185
| spl2_508
| spl2_714
| spl2_727 ),
inference(sat_conversion,[],[f51021]) ).
cnf(s5047,plain,
( ~ spl2_28
| ~ spl2_508
| spl2_513 ),
inference(sat_conversion,[],[f51121]) ).
cnf(s5051,plain,
( ~ spl2_497
| ~ spl2_508
| spl2_1045 ),
inference(sat_conversion,[],[f51128]) ).
cnf(s5052,plain,
( spl2_34
| ~ spl2_502
| ~ spl2_508 ),
inference(sat_conversion,[],[f51132]) ).
cnf(s5053,plain,
( ~ spl2_28
| spl2_69
| ~ spl2_508
| ~ spl2_1044 ),
inference(sat_conversion,[],[f51134]) ).
cnf(s5055,plain,
( ~ spl2_50
| ~ spl2_56
| spl2_69
| ~ spl2_508 ),
inference(sat_conversion,[],[f51137]) ).
cnf(s5056,plain,
( spl2_31
| spl2_69
| ~ spl2_508 ),
inference(sat_conversion,[],[f51139]) ).
cnf(s5062,plain,
( spl2_166
| ~ spl2_710
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f51178]) ).
cnf(s5080,plain,
( spl2_186
| ~ spl2_691
| ~ spl2_787
| ~ spl2_998 ),
inference(sat_conversion,[],[f51292]) ).
cnf(s5081,plain,
( ~ spl2_527
| ~ spl2_694
| ~ spl2_727 ),
inference(sat_conversion,[],[f51294]) ).
cnf(s5096,plain,
( ~ spl2_691
| spl2_699
| spl2_700 ),
inference(sat_conversion,[],[f51374]) ).
cnf(s5097,plain,
( ~ spl2_164
| spl2_184
| ~ spl2_1044 ),
inference(sat_conversion,[],[f51375]) ).
cnf(s5098,plain,
( ~ spl2_497
| spl2_520
| ~ spl2_540 ),
inference(sat_conversion,[],[f51376]) ).
cnf(s5106,plain,
( ~ spl2_80
| ~ spl2_175
| ~ spl2_184
| spl2_204 ),
inference(sat_conversion,[],[f51415]) ).
cnf(s5121,plain,
( ~ spl2_175
| ~ spl2_492
| ~ spl2_502 ),
inference(sat_conversion,[],[f51585]) ).
cnf(s5122,plain,
( ~ spl2_176
| ~ spl2_492
| ~ spl2_527 ),
inference(sat_conversion,[],[f51587]) ).
cnf(s5132,plain,
( spl2_22
| ~ spl2_25
| spl2_154
| spl2_185
| spl2_224 ),
inference(sat_conversion,[],[f51653]) ).
cnf(s5133,plain,
( ~ spl2_224
| ~ spl2_527
| ~ spl2_1046 ),
inference(sat_conversion,[],[f51656]) ).
cnf(s5156,plain,
( ~ spl2_154
| ~ spl2_178
| ~ spl2_206 ),
inference(sat_conversion,[],[f51793]) ).
cnf(s5159,plain,
( spl2_154
| ~ spl2_180
| spl2_231 ),
inference(sat_conversion,[],[f51796]) ).
cnf(s5187,plain,
( ~ spl2_206
| ~ spl2_489
| ~ spl2_504 ),
inference(sat_conversion,[],[f52062]) ).
cnf(s5193,plain,
( ~ spl2_2
| spl2_503 ),
inference(sat_conversion,[],[f52080]) ).
cnf(s5194,plain,
( ~ spl2_2
| ~ spl2_527 ),
inference(sat_conversion,[],[f52084]) ).
cnf(s5195,plain,
( spl2_22
| spl2_70
| spl2_73
| spl2_224 ),
inference(sat_conversion,[],[f52085]) ).
cnf(s5196,plain,
( ~ spl2_233
| ~ spl2_497
| spl2_504 ),
inference(sat_conversion,[],[f52086]) ).
cnf(s5199,plain,
( ~ spl2_43
| ~ spl2_186
| ~ spl2_192
| spl2_206 ),
inference(sat_conversion,[],[f52090]) ).
cnf(s5204,plain,
( ~ spl2_50
| spl2_184
| ~ spl2_386 ),
inference(sat_conversion,[],[f52096]) ).
cnf(s5216,plain,
( ~ spl2_166
| spl2_224
| ~ spl2_1044 ),
inference(sat_conversion,[],[f52175]) ).
cnf(s5269,plain,
( spl2_503
| ~ spl2_698
| spl2_702
| ~ spl2_786 ),
inference(sat_conversion,[],[f52611]) ).
cnf(s5272,plain,
( ~ spl2_70
| ~ spl2_185
| ~ spl2_191
| spl2_212 ),
inference(sat_conversion,[],[f52653]) ).
cnf(s5302,plain,
( ~ spl2_968
| spl2_1047
| ~ spl2_1059 ),
inference(sat_conversion,[],[f52918]) ).
cnf(s5305,plain,
( ~ spl2_1018
| spl2_1047
| ~ spl2_1060 ),
inference(sat_conversion,[],[f52948]) ).
cnf(s5306,plain,
( spl2_713
| ~ spl2_776
| ~ spl2_1018 ),
inference(sat_conversion,[],[f52950]) ).
cnf(s5307,plain,
( spl2_366
| spl2_371
| ~ spl2_1025 ),
inference(sat_conversion,[],[f52995]) ).
cnf(s5308,plain,
( spl2_368
| spl2_371
| ~ spl2_1025 ),
inference(sat_conversion,[],[f52996]) ).
cnf(s5322,plain,
( ~ spl2_21
| spl2_183
| ~ spl2_221
| ~ spl2_433 ),
inference(sat_conversion,[],[f53098]) ).
cnf(s5324,plain,
( ~ spl2_21
| ~ spl2_191
| spl2_211
| ~ spl2_485 ),
inference(sat_conversion,[],[f53114]) ).
cnf(s5330,plain,
( ~ spl2_191
| ~ spl2_221
| ~ spl2_224
| ~ spl2_458 ),
inference(sat_conversion,[],[f53196]) ).
cnf(s5342,plain,
( ~ spl2_733
| spl2_926
| ~ spl2_1040 ),
inference(sat_conversion,[],[f53310]) ).
cnf(s5343,plain,
( ~ spl2_693
| spl2_1018
| ~ spl2_1040 ),
inference(sat_conversion,[],[f53312]) ).
cnf(s5344,plain,
( ~ spl2_491
| spl2_568
| ~ spl2_1040 ),
inference(sat_conversion,[],[f53313]) ).
cnf(s5345,plain,
( ~ spl2_70
| ~ spl2_700
| ~ spl2_714
| spl2_715 ),
inference(sat_conversion,[],[f53314]) ).
cnf(s5347,plain,
( spl2_506
| ~ spl2_569
| ~ spl2_693
| spl2_714 ),
inference(sat_conversion,[],[f53316]) ).
cnf(s5353,plain,
( ~ spl2_787
| ~ spl2_1044
| spl2_1047 ),
inference(sat_conversion,[],[f53382]) ).
cnf(s5379,plain,
( spl2_161
| spl2_175
| ~ spl2_297 ),
inference(sat_conversion,[],[f53508]) ).
cnf(s5380,plain,
( spl2_22
| spl2_154
| ~ spl2_297 ),
inference(sat_conversion,[],[f53511]) ).
cnf(s5386,plain,
( ~ spl2_21
| ~ spl2_715
| ~ spl2_1047 ),
inference(sat_conversion,[],[f53598]) ).
cnf(s5390,plain,
( spl2_520
| spl2_1059 ),
inference(sat_conversion,[],[f53645]) ).
cnf(s5392,plain,
( ~ spl2_43
| ~ spl2_500
| spl2_502
| ~ spl2_503 ),
inference(sat_conversion,[],[f53647]) ).
cnf(s5399,plain,
( ~ spl2_20
| ~ spl2_25
| spl2_26 ),
inference(sat_conversion,[],[f53655]) ).
cnf(s5423,plain,
( spl2_184
| ~ spl2_1025
| spl2_1064 ),
inference(sat_conversion,[],[f53761]) ).
cnf(s5424,plain,
( ~ spl2_9
| ~ spl2_21
| spl2_28
| spl2_37 ),
inference(sat_conversion,[],[f53762]) ).
cnf(s5467,plain,
( ~ spl2_179
| spl2_370
| ~ spl2_1025 ),
inference(sat_conversion,[],[f54064]) ).
cnf(s5468,plain,
( ~ spl2_151
| ~ spl2_179
| spl2_192
| ~ spl2_1025 ),
inference(sat_conversion,[],[f54065]) ).
cnf(s5470,plain,
( ~ spl2_179
| spl2_185
| spl2_219
| ~ spl2_233 ),
inference(sat_conversion,[],[f54069]) ).
cnf(s5472,plain,
( spl2_154
| ~ spl2_179
| spl2_219
| ~ spl2_233 ),
inference(sat_conversion,[],[f54072]) ).
cnf(s5473,plain,
( spl2_154
| ~ spl2_179
| spl2_192
| spl2_219 ),
inference(sat_conversion,[],[f54074]) ).
cnf(s5474,plain,
( ~ spl2_51
| spl2_192
| spl2_371
| ~ spl2_1025 ),
inference(sat_conversion,[],[f54075]) ).
cnf(s5475,plain,
( ~ spl2_43
| spl2_502
| ~ spl2_504
| spl2_513 ),
inference(sat_conversion,[],[f54077]) ).
cnf(s5477,plain,
( ~ spl2_30
| spl2_221 ),
inference(sat_conversion,[],[f54081]) ).
cnf(s5479,plain,
( ~ spl2_30
| spl2_700 ),
inference(sat_conversion,[],[f54085]) ).
cnf(s5480,plain,
( ~ spl2_6
| spl2_164
| ~ spl2_186
| spl2_388 ),
inference(sat_conversion,[],[f54088]) ).
cnf(s5482,plain,
( ~ spl2_30
| spl2_191 ),
inference(sat_conversion,[],[f54091]) ).
cnf(s5484,plain,
( ~ spl2_43
| spl2_164
| ~ spl2_175
| spl2_206 ),
inference(sat_conversion,[],[f54093]) ).
cnf(s5486,plain,
( ~ spl2_6
| ~ spl2_163
| spl2_166
| spl2_472 ),
inference(sat_conversion,[],[f54096]) ).
cnf(s5490,plain,
( ~ spl2_20
| spl2_30
| ~ spl2_31 ),
inference(sat_conversion,[],[f54101]) ).
cnf(s5491,plain,
( spl2_192
| ~ spl2_1025
| spl2_1065 ),
inference(sat_conversion,[],[f54105]) ).
cnf(s5498,plain,
( spl2_161
| spl2_526
| spl2_733 ),
inference(sat_conversion,[],[f54144]) ).
cnf(s5499,plain,
( spl2_161
| spl2_695
| spl2_696 ),
inference(sat_conversion,[],[f54145]) ).
cnf(s5500,plain,
( spl2_161
| spl2_192
| spl2_221
| spl2_549 ),
inference(sat_conversion,[],[f54148]) ).
cnf(s5501,plain,
( ~ spl2_16
| spl2_161
| spl2_264
| spl2_347 ),
inference(sat_conversion,[],[f54149]) ).
cnf(s5502,plain,
( spl2_161
| spl2_691
| spl2_692 ),
inference(sat_conversion,[],[f54150]) ).
cnf(s5503,plain,
( spl2_161
| spl2_511
| spl2_620 ),
inference(sat_conversion,[],[f54151]) ).
cnf(s5504,plain,
( ~ spl2_16
| spl2_161
| spl2_264
| spl2_348 ),
inference(sat_conversion,[],[f54152]) ).
cnf(s5518,plain,
( ~ spl2_176
| ~ spl2_587 ),
inference(sat_conversion,[],[f54202]) ).
cnf(s5519,plain,
( ~ spl2_224
| ~ spl2_587 ),
inference(sat_conversion,[],[f54205]) ).
cnf(s5549,plain,
( spl2_1046
| spl2_1060 ),
inference(sat_conversion,[],[f54434]) ).
cnf(s5553,plain,
( ~ spl2_176
| ~ spl2_186
| ~ spl2_472 ),
inference(sat_conversion,[],[f54464]) ).
cnf(s5555,plain,
( ~ spl2_23
| ~ spl2_224
| ~ spl2_472 ),
inference(sat_conversion,[],[f54467]) ).
cnf(s5575,plain,
( spl2_28
| ~ spl2_710
| spl2_716
| ~ spl2_1047 ),
inference(sat_conversion,[],[f54595]) ).
cnf(s5580,plain,
( ~ spl2_163
| ~ spl2_178
| ~ spl2_388 ),
inference(sat_conversion,[],[f54634]) ).
cnf(s5586,plain,
( ~ spl2_211
| ~ spl2_700
| ~ spl2_727 ),
inference(sat_conversion,[],[f54687]) ).
cnf(s5587,plain,
( ~ spl2_163
| ~ spl2_727
| spl2_787
| spl2_804 ),
inference(sat_conversion,[],[f54690]) ).
cnf(s5589,plain,
( ~ spl2_21
| ~ spl2_702
| spl2_716
| ~ spl2_1047 ),
inference(sat_conversion,[],[f54693]) ).
cnf(s5598,plain,
( spl2_204
| spl2_241
| spl2_371 ),
inference(sat_conversion,[],[f54734]) ).
cnf(s5608,plain,
( ~ spl2_490
| spl2_568
| ~ spl2_1025 ),
inference(sat_conversion,[],[f54862]) ).
cnf(s5621,plain,
( ~ spl2_490
| ~ spl2_1059
| ~ spl2_1064 ),
inference(sat_conversion,[],[f54932]) ).
cnf(s5622,plain,
( ~ spl2_490
| spl2_500
| ~ spl2_692
| ~ spl2_710
| ~ spl2_998
| spl2_1032 ),
inference(sat_conversion,[],[f54955]) ).
cnf(s5626,plain,
( spl2_175
| ~ spl2_185
| ~ spl2_190
| spl2_556 ),
inference(sat_conversion,[],[f54987]) ).
cnf(s5632,plain,
( ~ spl2_20
| ~ spl2_693
| spl2_700
| ~ spl2_1059 ),
inference(sat_conversion,[],[f55052]) ).
cnf(s5635,plain,
( ~ spl2_186
| ~ spl2_692
| ~ spl2_719 ),
inference(sat_conversion,[],[f55075]) ).
cnf(s5637,plain,
( ~ spl2_23
| ~ spl2_719
| ~ spl2_1047 ),
inference(sat_conversion,[],[f55078]) ).
cnf(s5647,plain,
( ~ spl2_693
| spl2_700
| ~ spl2_1062 ),
inference(sat_conversion,[],[f55154]) ).
cnf(s5648,plain,
( ~ spl2_50
| spl2_501
| ~ spl2_1062 ),
inference(sat_conversion,[],[f55155]) ).
cnf(s5649,plain,
( ~ spl2_57
| ~ spl2_183
| ~ spl2_371 ),
inference(sat_conversion,[],[f55156]) ).
cnf(s5651,plain,
( ~ spl2_28
| spl2_264
| ~ spl2_1052 ),
inference(sat_conversion,[],[f55159]) ).
cnf(s5652,plain,
( spl2_9
| ~ spl2_513
| spl2_564 ),
inference(sat_conversion,[],[f55160]) ).
cnf(s5653,plain,
( ~ spl2_186
| ~ spl2_696
| spl2_787
| spl2_1032 ),
inference(sat_conversion,[],[f55161]) ).
cnf(s5656,plain,
( spl2_8
| spl2_161
| spl2_264 ),
inference(sat_conversion,[],[f55164]) ).
cnf(s5661,plain,
( spl2_154
| spl2_176
| spl2_185
| spl2_188
| ~ spl2_233 ),
inference(sat_conversion,[],[f55169]) ).
cnf(s5662,plain,
( spl2_154
| spl2_176
| spl2_185
| spl2_188
| spl2_192 ),
inference(sat_conversion,[],[f55170]) ).
cnf(s5680,plain,
( ~ spl2_178
| ~ spl2_189 ),
inference(sat_conversion,[],[f55256]) ).
cnf(s5681,plain,
( ~ spl2_154
| ~ spl2_194 ),
inference(sat_conversion,[],[f55269]) ).
cnf(s5682,plain,
( ~ spl2_178
| ~ spl2_194
| spl2_204 ),
inference(sat_conversion,[],[f55271]) ).
cnf(s5684,plain,
( ~ spl2_21
| ~ spl2_154
| spl2_211
| ~ spl2_224 ),
inference(sat_conversion,[],[f55281]) ).
cnf(s5694,plain,
( ~ spl2_180
| ~ spl2_540
| ~ spl2_1052 ),
inference(sat_conversion,[],[f55383]) ).
cnf(s5733,plain,
( ~ spl2_57
| ~ spl2_713
| ~ spl2_716 ),
inference(sat_conversion,[],[f55740]) ).
cnf(s5735,plain,
( spl2_22
| spl2_175
| ~ spl2_198 ),
inference(sat_conversion,[],[f55752]) ).
cnf(s5748,plain,
( ~ spl2_371
| ~ spl2_489
| ~ spl2_501
| spl2_509 ),
inference(sat_conversion,[],[f56004]) ).
cnf(s5752,plain,
( spl2_501
| spl2_566
| ~ spl2_1040 ),
inference(sat_conversion,[],[f56053]) ).
cnf(s5755,plain,
( ~ spl2_21
| spl2_34
| ~ spl2_224
| spl2_551 ),
inference(sat_conversion,[],[f56090]) ).
cnf(s5759,plain,
( ~ spl2_57
| ~ spl2_163
| ~ spl2_191
| spl2_472 ),
inference(sat_conversion,[],[f56125]) ).
cnf(s5776,plain,
( ~ spl2_504
| ~ spl2_694
| ~ spl2_702
| spl2_792 ),
inference(sat_conversion,[],[f56382]) ).
cnf(s5781,plain,
( ~ spl2_70
| ~ spl2_700
| ~ spl2_702
| spl2_715 ),
inference(sat_conversion,[],[f56468]) ).
cnf(s5783,plain,
( spl2_175
| spl2_188
| ~ spl2_197 ),
inference(sat_conversion,[],[f56556]) ).
cnf(s5793,plain,
( ~ spl2_1004
| spl2_1013 ),
inference(sat_conversion,[],[f56627]) ).
cnf(s5920,plain,
( spl2_9
| ~ spl2_353 ),
inference(sat_conversion,[],[f57575]) ).
cnf(s5922,plain,
( spl2_43
| ~ spl2_353 ),
inference(sat_conversion,[],[f57579]) ).
cnf(s5925,plain,
( spl2_22
| spl2_161
| spl2_264
| ~ spl2_353 ),
inference(sat_conversion,[],[f57583]) ).
cnf(s5926,plain,
( spl2_175
| spl2_205
| ~ spl2_353 ),
inference(sat_conversion,[],[f57584]) ).
cnf(s5927,plain,
( spl2_192
| spl2_205
| ~ spl2_353 ),
inference(sat_conversion,[],[f57585]) ).
cnf(s5971,plain,
( ~ spl2_154
| spl2_175
| ~ spl2_195 ),
inference(sat_conversion,[],[f58244]) ).
cnf(s5991,plain,
( spl2_9
| ~ spl2_836 ),
inference(sat_conversion,[],[f58416]) ).
cnf(s5999,plain,
( spl2_508
| ~ spl2_700
| ~ spl2_757 ),
inference(sat_conversion,[],[f58476]) ).
cnf(s6070,plain,
( spl2_204
| spl2_544
| spl2_728 ),
inference(sat_conversion,[],[f59251]) ).
cnf(s6077,plain,
( ~ spl2_178
| ~ spl2_696
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f59271]) ).
cnf(s6078,plain,
( ~ spl2_526
| ~ spl2_694
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f59272]) ).
cnf(s6083,plain,
( spl2_204
| spl2_226
| ~ spl2_234
| spl2_714
| spl2_727 ),
inference(sat_conversion,[],[f59335]) ).
cnf(s6085,plain,
( ~ spl2_163
| ~ spl2_719
| ~ spl2_728 ),
inference(sat_conversion,[],[f59371]) ).
cnf(s6086,plain,
( ~ spl2_154
| ~ spl2_715
| ~ spl2_728 ),
inference(sat_conversion,[],[f59373]) ).
cnf(s6087,plain,
( ~ spl2_191
| ~ spl2_716
| ~ spl2_728 ),
inference(sat_conversion,[],[f59375]) ).
cnf(s6088,plain,
( ~ spl2_178
| ~ spl2_728
| ~ spl2_1032 ),
inference(sat_conversion,[],[f59379]) ).
cnf(s6089,plain,
( ~ spl2_526
| ~ spl2_728
| ~ spl2_792 ),
inference(sat_conversion,[],[f59381]) ).
cnf(s6092,plain,
( ~ spl2_191
| ~ spl2_700
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f59384]) ).
cnf(s6096,plain,
( ~ spl2_371
| ~ spl2_696
| ~ spl2_713
| spl2_719 ),
inference(sat_conversion,[],[f59398]) ).
cnf(s6097,plain,
( ~ spl2_1
| ~ spl2_51
| spl2_504
| ~ spl2_513 ),
inference(sat_conversion,[],[f59399]) ).
cnf(s6098,plain,
( spl2_205
| spl2_221
| ~ spl2_233
| spl2_1137 ),
inference(sat_conversion,[],[f59401]) ).
cnf(s6099,plain,
( ~ spl2_16
| spl2_501
| spl2_503
| ~ spl2_1040 ),
inference(sat_conversion,[],[f59402]) ).
cnf(s6101,plain,
( ~ spl2_694
| ~ spl2_700
| spl2_716
| ~ spl2_1046 ),
inference(sat_conversion,[],[f59406]) ).
cnf(s6102,plain,
( spl2_503
| ~ spl2_1040
| spl2_1149 ),
inference(sat_conversion,[],[f59410]) ).
cnf(s6104,plain,
( ~ spl2_28
| spl2_501
| ~ spl2_1040
| spl2_1046 ),
inference(sat_conversion,[],[f59413]) ).
cnf(s6108,plain,
( ~ spl2_23
| ~ spl2_700
| spl2_716
| spl2_787 ),
inference(sat_conversion,[],[f59420]) ).
cnf(s6109,plain,
( ~ spl2_20
| ~ spl2_180
| spl2_221
| ~ spl2_235 ),
inference(sat_conversion,[],[f59422]) ).
cnf(s6112,plain,
( ~ spl2_16
| spl2_504
| ~ spl2_564 ),
inference(sat_conversion,[],[f59427]) ).
cnf(s6114,plain,
( ~ spl2_8
| spl2_43
| spl2_1004 ),
inference(sat_conversion,[],[f59430]) ).
cnf(s6120,plain,
( ~ spl2_1040
| spl2_1046
| spl2_1062 ),
inference(sat_conversion,[],[f59438]) ).
cnf(s6122,plain,
( spl2_204
| spl2_226
| ~ spl2_234
| spl2_702
| spl2_727 ),
inference(sat_conversion,[],[f59440]) ).
cnf(s6123,plain,
( spl2_226
| ~ spl2_234
| spl2_503
| ~ spl2_620 ),
inference(sat_conversion,[],[f59442]) ).
cnf(s6124,plain,
( ~ spl2_43
| ~ spl2_472
| spl2_551 ),
inference(sat_conversion,[],[f59443]) ).
cnf(s6125,plain,
( ~ spl2_57
| ~ spl2_700
| spl2_719
| spl2_787 ),
inference(sat_conversion,[],[f59444]) ).
cnf(s6126,plain,
( ~ spl2_492
| ~ spl2_692
| ~ spl2_694
| spl2_1032 ),
inference(sat_conversion,[],[f59447]) ).
cnf(s6129,plain,
( ~ spl2_520
| ~ spl2_694
| ~ spl2_700
| spl2_792 ),
inference(sat_conversion,[],[f59454]) ).
cnf(s6131,plain,
( ~ spl2_261
| ~ spl2_710
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f59460]) ).
cnf(s6132,plain,
( ~ spl2_184
| ~ spl2_696
| ~ spl2_700
| spl2_716 ),
inference(sat_conversion,[],[f59462]) ).
cnf(s6135,plain,
( ~ spl2_485
| ~ spl2_702
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f59469]) ).
cnf(s6136,plain,
( ~ spl2_23
| ~ spl2_186
| ~ spl2_221
| ~ spl2_696
| ~ spl2_700 ),
inference(sat_conversion,[],[f59470]) ).
cnf(s6137,plain,
( spl2_9
| ~ spl2_16
| spl2_503
| ~ spl2_513 ),
inference(sat_conversion,[],[f59471]) ).
cnf(s6138,plain,
( ~ spl2_28
| spl2_520
| ~ spl2_564 ),
inference(sat_conversion,[],[f59472]) ).
cnf(s6139,plain,
( ~ spl2_221
| ~ spl2_696
| ~ spl2_700
| spl2_1032 ),
inference(sat_conversion,[],[f59473]) ).
cnf(s6142,plain,
( spl2_205
| spl2_221
| ~ spl2_233
| spl2_1136 ),
inference(sat_conversion,[],[f59477]) ).
cnf(s6149,plain,
( spl2_166
| ~ spl2_710
| ~ spl2_728
| spl2_804 ),
inference(sat_conversion,[],[f59492]) ).
cnf(s6150,plain,
( ~ spl2_371
| ~ spl2_696
| spl2_719
| spl2_787 ),
inference(sat_conversion,[],[f59493]) ).
cnf(s6154,plain,
( spl2_43
| spl2_501
| spl2_503
| spl2_504 ),
inference(sat_conversion,[],[f59498]) ).
cnf(s6155,plain,
( spl2_15
| spl2_43
| spl2_504
| ~ spl2_513 ),
inference(sat_conversion,[],[f59499]) ).
cnf(s6157,plain,
( ~ spl2_58
| spl2_499
| spl2_500
| spl2_504 ),
inference(sat_conversion,[],[f59503]) ).
cnf(s6158,plain,
( ~ spl2_492
| ~ spl2_694
| ~ spl2_696
| spl2_1032 ),
inference(sat_conversion,[],[f59504]) ).
cnf(s6160,plain,
( ~ spl2_57
| ~ spl2_58
| ~ spl2_700
| spl2_702
| spl2_712
| spl2_719 ),
inference(sat_conversion,[],[f59509]) ).
cnf(s6165,plain,
( spl2_185
| spl2_204
| spl2_226
| spl2_702
| spl2_727 ),
inference(sat_conversion,[],[f59518]) ).
cnf(s6166,plain,
( ~ spl2_57
| ~ spl2_700
| spl2_712
| spl2_714
| spl2_719
| ~ spl2_1013 ),
inference(sat_conversion,[],[f59519]) ).
cnf(s6167,plain,
( ~ spl2_371
| ~ spl2_489
| spl2_499
| spl2_503
| spl2_509
| ~ spl2_1013 ),
inference(sat_conversion,[],[f59520]) ).
cnf(s6168,plain,
( ~ spl2_58
| ~ spl2_371
| ~ spl2_696
| spl2_702
| spl2_712
| spl2_719 ),
inference(sat_conversion,[],[f59521]) ).
cnf(s6170,plain,
( ~ spl2_371
| ~ spl2_696
| spl2_712
| spl2_714
| spl2_719
| ~ spl2_1013 ),
inference(sat_conversion,[],[f59523]) ).
cnf(s6171,plain,
( ~ spl2_178
| spl2_190
| ~ spl2_492
| ~ spl2_526 ),
inference(sat_conversion,[],[f59524]) ).
cnf(s6175,plain,
( ~ spl2_180
| spl2_185
| spl2_230
| ~ spl2_233 ),
inference(sat_conversion,[],[f59533]) ).
cnf(s6177,plain,
( ~ spl2_9
| spl2_166
| spl2_472
| ~ spl2_485 ),
inference(sat_conversion,[],[f59535]) ).
cnf(s6179,plain,
( spl2_161
| spl2_175
| spl2_184
| spl2_1045 ),
inference(sat_conversion,[],[f59541]) ).
cnf(s6182,plain,
( spl2_175
| ~ spl2_180
| spl2_185
| spl2_226 ),
inference(sat_conversion,[],[f59544]) ).
cnf(s6185,plain,
( ~ spl2_70
| ~ spl2_154
| ~ spl2_191
| spl2_212 ),
inference(sat_conversion,[],[f59550]) ).
cnf(s6188,plain,
( spl2_175
| spl2_192
| spl2_556 ),
inference(sat_conversion,[],[f59557]) ).
cnf(s6191,plain,
( ~ spl2_70
| ~ spl2_211
| spl2_551 ),
inference(sat_conversion,[],[f59562]) ).
cnf(s6194,plain,
( ~ spl2_485
| ~ spl2_504
| ~ spl2_526
| spl2_527 ),
inference(sat_conversion,[],[f59566]) ).
cnf(s6196,plain,
( ~ spl2_191
| ~ spl2_520
| ~ spl2_526
| spl2_527 ),
inference(sat_conversion,[],[f59568]) ).
cnf(s6198,plain,
( ~ spl2_57
| spl2_166
| ~ spl2_191
| spl2_472 ),
inference(sat_conversion,[],[f59570]) ).
cnf(s6199,plain,
( ~ spl2_43
| ~ spl2_154
| spl2_166
| spl2_212 ),
inference(sat_conversion,[],[f59572]) ).
cnf(s6204,plain,
( spl2_70
| spl2_73
| spl2_161
| spl2_184 ),
inference(sat_conversion,[],[f59577]) ).
cnf(s6211,plain,
( ~ spl2_25
| spl2_184
| ~ spl2_549 ),
inference(sat_conversion,[],[f59590]) ).
cnf(s6218,plain,
( spl2_164
| ~ spl2_492
| ~ spl2_500
| spl2_579 ),
inference(sat_conversion,[],[f59598]) ).
cnf(s6222,plain,
( ~ spl2_57
| spl2_161
| spl2_185
| ~ spl2_191
| spl2_472
| ~ spl2_1013 ),
inference(sat_conversion,[],[f59604]) ).
cnf(s6228,plain,
( spl2_501
| ~ spl2_1040
| spl2_1159 ),
inference(sat_conversion,[],[f59613]) ).
cnf(s6229,plain,
( ~ spl2_371
| ~ spl2_489
| spl2_509
| spl2_513 ),
inference(sat_conversion,[],[f59614]) ).
cnf(s6243,plain,
( ~ spl2_28
| ~ spl2_50
| ~ spl2_68 ),
inference(sat_conversion,[],[f59687]) ).
cnf(s6259,plain,
( ~ spl2_43
| ~ spl2_163
| ~ spl2_185
| spl2_212 ),
inference(sat_conversion,[],[f59758]) ).
cnf(s6271,plain,
( ~ spl2_43
| ~ spl2_702
| spl2_715
| spl2_787 ),
inference(sat_conversion,[],[f59836]) ).
cnf(s6277,plain,
( ~ spl2_186
| spl2_388
| ~ spl2_492
| ~ spl2_501 ),
inference(sat_conversion,[],[f59865]) ).
cnf(s6278,plain,
( ~ spl2_371
| ~ spl2_489
| ~ spl2_500
| spl2_509 ),
inference(sat_conversion,[],[f59866]) ).
cnf(s6280,plain,
( ~ spl2_78
| spl2_161
| ~ spl2_185 ),
inference(sat_conversion,[],[f59879]) ).
cnf(s6312,plain,
( spl2_100
| ~ spl2_787
| spl2_791 ),
inference(sat_conversion,[],[f60090]) ).
cnf(s6317,plain,
( spl2_183
| ~ spl2_221
| ~ spl2_492
| ~ spl2_1046 ),
inference(sat_conversion,[],[f60103]) ).
cnf(s6318,plain,
( ~ spl2_20
| ~ spl2_179
| spl2_191
| ~ spl2_225 ),
inference(sat_conversion,[],[f60104]) ).
cnf(s6319,plain,
( ~ spl2_1
| spl2_21
| ~ spl2_28
| ~ spl2_51 ),
inference(sat_conversion,[],[f60105]) ).
cnf(s6321,plain,
( ~ spl2_180
| spl2_191
| spl2_231 ),
inference(sat_conversion,[],[f60108]) ).
cnf(s6323,plain,
( ~ spl2_20
| ~ spl2_50
| spl2_700
| ~ spl2_787 ),
inference(sat_conversion,[],[f60110]) ).
cnf(s6325,plain,
( spl2_9
| ~ spl2_787
| spl2_791 ),
inference(sat_conversion,[],[f60113]) ).
cnf(s6328,plain,
( spl2_163
| ~ spl2_180
| spl2_370 ),
inference(sat_conversion,[],[f60116]) ).
cnf(s6334,plain,
( spl2_21
| spl2_22
| spl2_23
| ~ spl2_58 ),
inference(sat_conversion,[],[f60130]) ).
cnf(s6342,plain,
( ~ spl2_20
| ~ spl2_50
| ~ spl2_166
| spl2_191 ),
inference(sat_conversion,[],[f60196]) ).
cnf(s6349,plain,
( ~ spl2_184
| ~ spl2_489
| ~ spl2_520
| spl2_541 ),
inference(sat_conversion,[],[f60241]) ).
cnf(s6364,plain,
( ~ spl2_371
| spl2_713
| ~ spl2_721 ),
inference(sat_conversion,[],[f60463]) ).
cnf(s6381,plain,
( ~ spl2_25
| spl2_1046
| ~ spl2_1058 ),
inference(sat_conversion,[],[f60581]) ).
cnf(s6382,plain,
( ~ spl2_49
| spl2_1046
| ~ spl2_1149 ),
inference(sat_conversion,[],[f60599]) ).
cnf(s6392,plain,
( spl2_544
| ~ spl2_1142 ),
inference(sat_conversion,[],[f60700]) ).
cnf(s6398,plain,
( spl2_163
| ~ spl2_787
| ~ spl2_998
| ~ spl2_1142 ),
inference(sat_conversion,[],[f60710]) ).
cnf(s6424,plain,
( ~ spl2_489
| ~ spl2_696
| ~ spl2_697
| spl2_792 ),
inference(sat_conversion,[],[f61036]) ).
cnf(s6502,plain,
( ~ spl2_511
| ~ spl2_697
| ~ spl2_804 ),
inference(sat_conversion,[],[f61675]) ).
cnf(s6504,plain,
( ~ spl2_185
| ~ spl2_714
| ~ spl2_804 ),
inference(sat_conversion,[],[f61680]) ).
cnf(s6508,plain,
( spl2_175
| ~ spl2_491
| spl2_503
| spl2_506 ),
inference(sat_conversion,[],[f61687]) ).
cnf(s6513,plain,
( spl2_192
| ~ spl2_491
| spl2_504
| ~ spl2_569 ),
inference(sat_conversion,[],[f61693]) ).
cnf(s6514,plain,
( ~ spl2_28
| spl2_191
| ~ spl2_360 ),
inference(sat_conversion,[],[f61694]) ).
cnf(s6517,plain,
( ~ spl2_28
| spl2_700
| ~ spl2_791 ),
inference(sat_conversion,[],[f61698]) ).
cnf(s6521,plain,
( spl2_28
| spl2_183
| ~ spl2_184
| ~ spl2_186 ),
inference(sat_conversion,[],[f61706]) ).
cnf(s6526,plain,
( ~ spl2_23
| spl2_164
| spl2_183
| ~ spl2_221 ),
inference(sat_conversion,[],[f61712]) ).
cnf(s6527,plain,
( spl2_9
| spl2_371
| ~ spl2_1136 ),
inference(sat_conversion,[],[f61713]) ).
cnf(s6529,plain,
( ~ spl2_233
| ~ spl2_491
| spl2_503
| spl2_529 ),
inference(sat_conversion,[],[f61715]) ).
cnf(s6530,plain,
( ~ spl2_233
| ~ spl2_491
| spl2_503
| spl2_504 ),
inference(sat_conversion,[],[f61716]) ).
cnf(s6544,plain,
( ~ spl2_2
| ~ spl2_23
| spl2_34
| ~ spl2_43 ),
inference(sat_conversion,[],[f61761]) ).
cnf(s6564,plain,
( spl2_499
| spl2_501
| spl2_776 ),
inference(sat_conversion,[],[f61913]) ).
cnf(s6572,plain,
( spl2_28
| ~ spl2_500
| spl2_541
| ~ spl2_1046 ),
inference(sat_conversion,[],[f62001]) ).
cnf(s6601,plain,
( spl2_700
| spl2_1141
| ~ spl2_1142 ),
inference(sat_conversion,[],[f62231]) ).
cnf(s6606,plain,
( spl2_700
| ~ spl2_897
| ~ spl2_1142 ),
inference(sat_conversion,[],[f62253]) ).
cnf(s6607,plain,
( spl2_186
| ~ spl2_490
| spl2_568 ),
inference(sat_conversion,[],[f62254]) ).
cnf(s6608,plain,
( ~ spl2_163
| ~ spl2_511
| spl2_513
| spl2_527 ),
inference(sat_conversion,[],[f62255]) ).
cnf(s6612,plain,
( spl2_166
| ~ spl2_500
| ~ spl2_526
| spl2_527 ),
inference(sat_conversion,[],[f62259]) ).
cnf(s6615,plain,
( spl2_186
| ~ spl2_491
| ~ spl2_513
| ~ spl2_998 ),
inference(sat_conversion,[],[f62265]) ).
cnf(s6616,plain,
( ~ spl2_164
| ~ spl2_490
| spl2_500
| ~ spl2_998 ),
inference(sat_conversion,[],[f62266]) ).
cnf(s6619,plain,
( ~ spl2_82
| spl2_264
| ~ spl2_860 ),
inference(sat_conversion,[],[f62269]) ).
cnf(s6628,plain,
( ~ spl2_82
| spl2_100
| spl2_350 ),
inference(sat_conversion,[],[f62329]) ).
cnf(s6629,plain,
( ~ spl2_8
| ~ spl2_82
| spl2_350 ),
inference(sat_conversion,[],[f62330]) ).
cnf(s6630,plain,
( spl2_15
| ~ spl2_82
| spl2_351 ),
inference(sat_conversion,[],[f62331]) ).
cnf(s6632,plain,
( spl2_9
| ~ spl2_82
| spl2_350 ),
inference(sat_conversion,[],[f62333]) ).
cnf(s6634,plain,
( spl2_9
| ~ spl2_82
| spl2_351 ),
inference(sat_conversion,[],[f62337]) ).
cnf(s6636,plain,
( ~ spl2_57
| ~ spl2_172 ),
inference(sat_conversion,[],[f62347]) ).
cnf(s6638,plain,
( ~ spl2_2
| ~ spl2_172 ),
inference(sat_conversion,[],[f62355]) ).
cnf(s6640,plain,
( spl2_18
| ~ spl2_172
| spl2_353 ),
inference(sat_conversion,[],[f62359]) ).
cnf(s6641,plain,
( spl2_204
| spl2_727
| spl2_1156 ),
inference(sat_conversion,[],[f62386]) ).
cnf(s6642,plain,
( spl2_204
| spl2_728
| spl2_1142 ),
inference(sat_conversion,[],[f62388]) ).
cnf(s6644,plain,
( spl2_205
| spl2_526
| spl2_733 ),
inference(sat_conversion,[],[f62416]) ).
cnf(s6645,plain,
( spl2_205
| spl2_526
| spl2_544 ),
inference(sat_conversion,[],[f62418]) ).
cnf(s6646,plain,
( spl2_205
| spl2_691
| spl2_692 ),
inference(sat_conversion,[],[f62419]) ).
cnf(s6647,plain,
( spl2_205
| spl2_695
| spl2_696 ),
inference(sat_conversion,[],[f62420]) ).
cnf(s6699,plain,
( ~ spl2_20
| ~ spl2_235
| spl2_700
| ~ spl2_1156 ),
inference(sat_conversion,[],[f62799]) ).
cnf(s6701,plain,
( spl2_154
| spl2_1143
| ~ spl2_1156 ),
inference(sat_conversion,[],[f62801]) ).
cnf(s6703,plain,
( ~ spl2_350
| spl2_713
| ~ spl2_787 ),
inference(sat_conversion,[],[f62822]) ).
cnf(s6719,plain,
( ~ spl2_691
| spl2_700
| ~ spl2_816 ),
inference(sat_conversion,[],[f62984]) ).
cnf(s6721,plain,
( spl2_500
| ~ spl2_733
| spl2_926 ),
inference(sat_conversion,[],[f62986]) ).
cnf(s6722,plain,
( spl2_163
| ~ spl2_513
| ~ spl2_733
| ~ spl2_998 ),
inference(sat_conversion,[],[f62987]) ).
cnf(s6724,plain,
( ~ spl2_20
| spl2_191
| ~ spl2_733
| ~ spl2_1059 ),
inference(sat_conversion,[],[f62989]) ).
cnf(s6777,plain,
( spl2_1047
| ~ spl2_1052
| ~ spl2_1156 ),
inference(sat_conversion,[],[f63382]) ).
cnf(s6782,plain,
( ~ spl2_16
| spl2_204
| spl2_347
| spl2_371 ),
inference(sat_conversion,[],[f63388]) ).
cnf(s6784,plain,
( spl2_204
| spl2_503
| spl2_520
| spl2_1058 ),
inference(sat_conversion,[],[f63393]) ).
cnf(s6785,plain,
( spl2_504
| ~ spl2_733
| spl2_779 ),
inference(sat_conversion,[],[f63395]) ).
cnf(s6788,plain,
( ~ spl2_51
| spl2_192
| ~ spl2_386 ),
inference(sat_conversion,[],[f63400]) ).
cnf(s6792,plain,
( spl2_70
| spl2_184
| ~ spl2_1137 ),
inference(sat_conversion,[],[f63405]) ).
cnf(s6795,plain,
( ~ spl2_25
| spl2_192
| ~ spl2_1064 ),
inference(sat_conversion,[],[f63411]) ).
cnf(s6796,plain,
( ~ spl2_25
| spl2_204
| spl2_503
| spl2_504
| spl2_1046 ),
inference(sat_conversion,[],[f63412]) ).
cnf(s6798,plain,
( ~ spl2_25
| spl2_182
| spl2_184
| spl2_205 ),
inference(sat_conversion,[],[f63414]) ).
cnf(s6803,plain,
( ~ spl2_25
| spl2_161
| spl2_175
| spl2_184
| spl2_192 ),
inference(sat_conversion,[],[f63423]) ).
cnf(s6806,plain,
( spl2_70
| spl2_161
| spl2_175
| spl2_184
| spl2_192 ),
inference(sat_conversion,[],[f63428]) ).
cnf(s6807,plain,
( spl2_8
| spl2_204
| spl2_371 ),
inference(sat_conversion,[],[f63429]) ).
cnf(s6808,plain,
( spl2_204
| spl2_504
| spl2_1046
| spl2_1150 ),
inference(sat_conversion,[],[f63430]) ).
cnf(s6809,plain,
( spl2_70
| spl2_204
| spl2_503
| spl2_504
| spl2_1046 ),
inference(sat_conversion,[],[f63433]) ).
cnf(s6810,plain,
( spl2_43
| spl2_371
| ~ spl2_1137 ),
inference(sat_conversion,[],[f63434]) ).
cnf(s6840,plain,
( ~ spl2_77
| ~ spl2_504
| spl2_513 ),
inference(sat_conversion,[],[f63557]) ).
cnf(s6848,plain,
( ~ spl2_23
| ~ spl2_146
| ~ spl2_224 ),
inference(sat_conversion,[],[f63668]) ).
cnf(s6850,plain,
( spl2_205
| spl2_511
| spl2_620 ),
inference(sat_conversion,[],[f63674]) ).
cnf(s6851,plain,
( spl2_205
| spl2_511
| spl2_1040 ),
inference(sat_conversion,[],[f63676]) ).
cnf(s6853,plain,
( spl2_9
| spl2_43
| spl2_1013 ),
inference(sat_conversion,[],[f63679]) ).
cnf(s6856,plain,
( ~ spl2_186
| ~ spl2_489
| spl2_513
| spl2_579 ),
inference(sat_conversion,[],[f63684]) ).
cnf(s6858,plain,
( spl2_70
| spl2_73
| spl2_204
| spl2_1046 ),
inference(sat_conversion,[],[f63687]) ).
cnf(s6859,plain,
( ~ spl2_50
| spl2_371
| ~ spl2_1064 ),
inference(sat_conversion,[],[f63688]) ).
cnf(s6862,plain,
( spl2_28
| ~ spl2_163
| spl2_211
| ~ spl2_224 ),
inference(sat_conversion,[],[f63692]) ).
cnf(s6871,plain,
( ~ spl2_23
| spl2_166
| ~ spl2_191
| spl2_211 ),
inference(sat_conversion,[],[f63701]) ).
cnf(s6872,plain,
( spl2_21
| spl2_70
| spl2_499
| spl2_700
| spl2_714 ),
inference(sat_conversion,[],[f63702]) ).
cnf(s6874,plain,
( spl2_28
| ~ spl2_163
| spl2_211
| ~ spl2_224 ),
inference(sat_conversion,[],[f63705]) ).
cnf(s6883,plain,
( ~ spl2_28
| spl2_100
| spl2_106 ),
inference(sat_conversion,[],[f63773]) ).
cnf(s6886,plain,
( spl2_15
| spl2_22
| spl2_23
| spl2_41 ),
inference(sat_conversion,[],[f63784]) ).
cnf(s6896,plain,
( spl2_14
| spl2_15
| ~ spl2_77 ),
inference(sat_conversion,[],[f63857]) ).
cnf(s6899,plain,
( spl2_100
| ~ spl2_164
| spl2_365 ),
inference(sat_conversion,[],[f63895]) ).
cnf(s6942,plain,
( spl2_15
| ~ spl2_16
| spl2_702
| ~ spl2_787 ),
inference(sat_conversion,[],[f64206]) ).
cnf(s6945,plain,
( spl2_15
| spl2_43
| spl2_702
| ~ spl2_787 ),
inference(sat_conversion,[],[f64211]) ).
cnf(s6957,plain,
( ~ spl2_151
| ~ spl2_733
| ~ spl2_1149 ),
inference(sat_conversion,[],[f64341]) ).
cnf(s6959,plain,
( ~ spl2_234
| spl2_503
| spl2_529
| ~ spl2_733 ),
inference(sat_conversion,[],[f64345]) ).
cnf(s6963,plain,
( spl2_43
| spl2_100
| ~ spl2_166
| ~ spl2_234 ),
inference(sat_conversion,[],[f64350]) ).
cnf(s6964,plain,
( spl2_185
| spl2_205
| spl2_374
| spl2_526 ),
inference(sat_conversion,[],[f64351]) ).
cnf(s6975,plain,
( spl2_244
| ~ spl2_490
| spl2_497 ),
inference(sat_conversion,[],[f64587]) ).
cnf(s6990,plain,
( ~ spl2_1
| spl2_154
| ~ spl2_1049
| ~ spl2_1142 ),
inference(sat_conversion,[],[f64684]) ).
cnf(s6997,plain,
( ~ spl2_234
| ~ spl2_977
| ~ spl2_1142 ),
inference(sat_conversion,[],[f64743]) ).
cnf(s6998,plain,
( spl2_9
| ~ spl2_164
| spl2_365 ),
inference(sat_conversion,[],[f64744]) ).
cnf(s7000,plain,
( ~ spl2_16
| spl2_57
| ~ spl2_73 ),
inference(sat_conversion,[],[f64747]) ).
cnf(s7001,plain,
( spl2_700
| spl2_1141
| ~ spl2_1142 ),
inference(sat_conversion,[],[f64748]) ).
cnf(s7004,plain,
( spl2_9
| ~ spl2_28
| spl2_106 ),
inference(sat_conversion,[],[f64751]) ).
cnf(s7005,plain,
( ~ spl2_51
| ~ spl2_56
| spl2_70 ),
inference(sat_conversion,[],[f64754]) ).
cnf(s7006,plain,
( spl2_702
| spl2_1141
| ~ spl2_1142 ),
inference(sat_conversion,[],[f64755]) ).
cnf(s7007,plain,
( ~ spl2_491
| spl2_500
| spl2_568 ),
inference(sat_conversion,[],[f64756]) ).
cnf(s7008,plain,
( spl2_175
| ~ spl2_490
| spl2_497 ),
inference(sat_conversion,[],[f64757]) ).
cnf(s7009,plain,
( spl2_710
| ~ spl2_1142
| spl2_1207 ),
inference(sat_conversion,[],[f64758]) ).
cnf(s7011,plain,
( ~ spl2_49
| spl2_224
| ~ spl2_752 ),
inference(sat_conversion,[],[f64760]) ).
cnf(s7014,plain,
( ~ spl2_25
| spl2_224
| ~ spl2_374 ),
inference(sat_conversion,[],[f64763]) ).
cnf(s7019,plain,
( spl2_175
| ~ spl2_491
| spl2_506
| ~ spl2_569 ),
inference(sat_conversion,[],[f64770]) ).
cnf(s7020,plain,
( spl2_9
| ~ spl2_16
| ~ spl2_164
| spl2_175 ),
inference(sat_conversion,[],[f64771]) ).
cnf(s7024,plain,
( ~ spl2_51
| spl2_264
| ~ spl2_752 ),
inference(sat_conversion,[],[f64775]) ).
cnf(s7028,plain,
( ~ spl2_20
| ~ spl2_50
| ~ spl2_164
| spl2_221 ),
inference(sat_conversion,[],[f64780]) ).
cnf(s7030,plain,
( spl2_185
| spl2_508
| spl2_702
| spl2_714
| spl2_728 ),
inference(sat_conversion,[],[f64782]) ).
cnf(s7031,plain,
( ~ spl2_491
| spl2_504
| spl2_528 ),
inference(sat_conversion,[],[f64783]) ).
cnf(s7032,plain,
( ~ spl2_16
| spl2_264
| ~ spl2_374 ),
inference(sat_conversion,[],[f64784]) ).
cnf(s7037,plain,
( spl2_9
| ~ spl2_16
| ~ spl2_28
| spl2_70 ),
inference(sat_conversion,[],[f64789]) ).
cnf(s7038,plain,
( ~ spl2_25
| ~ spl2_28
| spl2_43
| spl2_100 ),
inference(sat_conversion,[],[f64790]) ).
cnf(s7041,plain,
( spl2_22
| spl2_70
| spl2_154
| spl2_185
| spl2_224 ),
inference(sat_conversion,[],[f64794]) ).
cnf(s7047,plain,
( spl2_9
| ~ spl2_15 ),
inference(sat_conversion,[],[f64812]) ).
cnf(s7049,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_164
| spl2_175 ),
inference(sat_conversion,[],[f64815]) ).
cnf(s7062,plain,
( spl2_204
| spl2_219
| spl2_325
| spl2_371 ),
inference(sat_conversion,[],[f64876]) ).
cnf(s7077,plain,
( ~ spl2_2
| ~ spl2_472 ),
inference(sat_conversion,[],[f64998]) ).
cnf(s7091,plain,
( ~ spl2_620
| ~ spl2_1052
| ~ spl2_1060 ),
inference(sat_conversion,[],[f65118]) ).
cnf(s7092,plain,
( ~ spl2_620
| ~ spl2_1043
| ~ spl2_1059 ),
inference(sat_conversion,[],[f65159]) ).
cnf(s7105,plain,
( spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(sat_conversion,[],[f65289]) ).
cnf(s7106,plain,
( spl2_499
| spl2_700
| ~ spl2_1043
| ~ spl2_1156 ),
inference(sat_conversion,[],[f65290]) ).
cnf(s7121,plain,
( ~ spl2_179
| ~ spl2_240
| ~ spl2_576 ),
inference(sat_conversion,[],[f65434]) ).
cnf(s7125,plain,
( ~ spl2_2
| spl2_34
| ~ spl2_184 ),
inference(sat_conversion,[],[f65586]) ).
cnf(s7126,plain,
( ~ spl2_2
| spl2_34
| ~ spl2_1047 ),
inference(sat_conversion,[],[f65587]) ).
cnf(s7127,plain,
( ~ spl2_2
| spl2_34
| ~ spl2_224 ),
inference(sat_conversion,[],[f65588]) ).
cnf(s7129,plain,
( ~ spl2_500
| ~ spl2_694
| spl2_787
| spl2_792 ),
inference(sat_conversion,[],[f65616]) ).
cnf(s7146,plain,
( ~ spl2_179
| ~ spl2_491
| ~ spl2_779 ),
inference(sat_conversion,[],[f65771]) ).
cnf(s7147,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_164
| spl2_192 ),
inference(sat_conversion,[],[f65772]) ).
cnf(s7148,plain,
( spl2_9
| spl2_43
| ~ spl2_164
| ~ spl2_233 ),
inference(sat_conversion,[],[f65773]) ).
cnf(s7149,plain,
( spl2_21
| spl2_70
| spl2_161
| spl2_192
| spl2_221 ),
inference(sat_conversion,[],[f65775]) ).
cnf(s7152,plain,
( ~ spl2_151
| spl2_503
| ~ spl2_779 ),
inference(sat_conversion,[],[f65779]) ).
cnf(s7153,plain,
( ~ spl2_383
| spl2_520
| ~ spl2_624 ),
inference(sat_conversion,[],[f65781]) ).
cnf(s7154,plain,
( ~ spl2_20
| ~ spl2_235
| spl2_520
| ~ spl2_620 ),
inference(sat_conversion,[],[f65782]) ).
cnf(s7156,plain,
( spl2_21
| spl2_22
| spl2_70
| spl2_185
| spl2_191 ),
inference(sat_conversion,[],[f65787]) ).
cnf(s7158,plain,
( ~ spl2_166
| ~ spl2_240
| spl2_371 ),
inference(sat_conversion,[],[f65788]) ).
cnf(s7160,plain,
( spl2_9
| ~ spl2_16
| ~ spl2_164
| spl2_192 ),
inference(sat_conversion,[],[f65792]) ).
cnf(s7161,plain,
( spl2_185
| spl2_230
| ~ spl2_569
| ~ spl2_620 ),
inference(sat_conversion,[],[f65796]) ).
cnf(s7162,plain,
( ~ spl2_151
| spl2_192
| ~ spl2_240 ),
inference(sat_conversion,[],[f65797]) ).
cnf(s7163,plain,
( ~ spl2_383
| ~ spl2_733
| ~ spl2_1150 ),
inference(sat_conversion,[],[f65798]) ).
cnf(s7165,plain,
( spl2_184
| ~ spl2_235
| ~ spl2_240 ),
inference(sat_conversion,[],[f65800]) ).
cnf(s7166,plain,
( spl2_21
| spl2_70
| spl2_499
| spl2_700
| spl2_714 ),
inference(sat_conversion,[],[f65801]) ).
cnf(s7167,plain,
( ~ spl2_49
| spl2_503
| ~ spl2_1150 ),
inference(sat_conversion,[],[f65802]) ).
cnf(s7169,plain,
( spl2_163
| ~ spl2_620
| spl2_926 ),
inference(sat_conversion,[],[f65807]) ).
cnf(s7173,plain,
( spl2_21
| spl2_70
| spl2_204
| spl2_503
| spl2_520 ),
inference(sat_conversion,[],[f65814]) ).
cnf(s7174,plain,
( spl2_184
| ~ spl2_370
| ~ spl2_383 ),
inference(sat_conversion,[],[f65815]) ).
cnf(s7175,plain,
( ~ spl2_20
| spl2_191
| ~ spl2_1142
| ~ spl2_1213 ),
inference(sat_conversion,[],[f65820]) ).
cnf(s7177,plain,
( spl2_15
| ~ spl2_16
| ~ spl2_28
| spl2_70 ),
inference(sat_conversion,[],[f65821]) ).
cnf(s7178,plain,
( spl2_22
| spl2_70
| spl2_154
| spl2_185
| spl2_224 ),
inference(sat_conversion,[],[f65823]) ).
cnf(s7179,plain,
( ~ spl2_235
| ~ spl2_779
| spl2_1046 ),
inference(sat_conversion,[],[f65824]) ).
cnf(s7181,plain,
( spl2_154
| spl2_503
| spl2_506
| ~ spl2_733 ),
inference(sat_conversion,[],[f65826]) ).
cnf(s7183,plain,
( spl2_9
| spl2_43
| spl2_186
| spl2_192 ),
inference(sat_conversion,[],[f65828]) ).
cnf(s7189,plain,
( spl2_154
| spl2_185
| spl2_205
| spl2_503
| spl2_511 ),
inference(sat_conversion,[],[f65835]) ).
cnf(s7193,plain,
( spl2_185
| spl2_226
| spl2_504
| ~ spl2_620 ),
inference(sat_conversion,[],[f65839]) ).
cnf(s7194,plain,
( spl2_15
| spl2_43
| ~ spl2_164
| spl2_175 ),
inference(sat_conversion,[],[f65840]) ).
cnf(s7195,plain,
( spl2_185
| spl2_205
| spl2_503
| spl2_504
| spl2_526 ),
inference(sat_conversion,[],[f65841]) ).
cnf(s7220,plain,
( ~ spl2_77
| ~ spl2_702
| spl2_787 ),
inference(sat_conversion,[],[f66004]) ).
cnf(s7230,plain,
( spl2_700
| spl2_1213 ),
inference(sat_conversion,[],[f66245]) ).
cnf(s7231,plain,
( spl2_700
| spl2_1213 ),
inference(sat_conversion,[],[f66247]) ).
cnf(s7232,plain,
( spl2_499
| spl2_700
| spl2_1213 ),
inference(sat_conversion,[],[f66248]) ).
cnf(s7237,plain,
( ~ spl2_16
| spl2_371
| ~ spl2_549 ),
inference(sat_conversion,[],[f66254]) ).
cnf(s7239,plain,
( spl2_205
| spl2_503
| spl2_511
| spl2_1058 ),
inference(sat_conversion,[],[f66255]) ).
cnf(s7247,plain,
( ~ spl2_49
| spl2_184
| ~ spl2_1065 ),
inference(sat_conversion,[],[f66265]) ).
cnf(s7249,plain,
( spl2_154
| spl2_205
| spl2_511
| spl2_624 ),
inference(sat_conversion,[],[f66268]) ).
cnf(s7250,plain,
( spl2_22
| spl2_50
| spl2_57 ),
inference(sat_conversion,[],[f66269]) ).
cnf(s7255,plain,
( spl2_9
| spl2_12
| spl2_58 ),
inference(sat_conversion,[],[f66281]) ).
cnf(s7257,plain,
( spl2_12
| spl2_21
| spl2_86 ),
inference(sat_conversion,[],[f66291]) ).
cnf(s7258,plain,
( ~ spl2_69
| ~ spl2_188
| spl2_588 ),
inference(sat_conversion,[],[f66390]) ).
cnf(s7260,plain,
( ~ spl2_176
| ~ spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f66392]) ).
cnf(s7262,plain,
( ~ spl2_154
| spl2_175
| ~ spl2_188 ),
inference(sat_conversion,[],[f66394]) ).
cnf(s7266,plain,
( spl2_180
| ~ spl2_188
| ~ spl2_235 ),
inference(sat_conversion,[],[f66398]) ).
cnf(s7272,plain,
( ~ spl2_188
| spl2_205 ),
inference(sat_conversion,[],[f66406]) ).
cnf(s7275,plain,
( spl2_31
| spl2_69
| ~ spl2_188 ),
inference(sat_conversion,[],[f66411]) ).
cnf(s7277,plain,
( ~ spl2_163
| spl2_164
| ~ spl2_176
| spl2_190 ),
inference(sat_conversion,[],[f66412]) ).
cnf(s7278,plain,
( spl2_188
| spl2_697
| spl2_698 ),
inference(sat_conversion,[],[f66439]) ).
cnf(s7279,plain,
( spl2_178
| spl2_188
| spl2_544 ),
inference(sat_conversion,[],[f66440]) ).
cnf(s7280,plain,
( spl2_188
| spl2_491
| spl2_492 ),
inference(sat_conversion,[],[f66441]) ).
cnf(s7281,plain,
( spl2_188
| spl2_693
| spl2_694 ),
inference(sat_conversion,[],[f66443]) ).
cnf(s7282,plain,
( spl2_178
| spl2_179
| spl2_188 ),
inference(sat_conversion,[],[f66444]) ).
cnf(s7283,plain,
( spl2_188
| spl2_489
| spl2_490 ),
inference(sat_conversion,[],[f66445]) ).
cnf(s7285,plain,
( spl2_18
| spl2_22
| spl2_41
| spl2_57 ),
inference(sat_conversion,[],[f66452]) ).
cnf(s7306,plain,
( ~ spl2_20
| ~ spl2_50
| ~ spl2_513
| spl2_520 ),
inference(sat_conversion,[],[f66611]) ).
cnf(s7331,plain,
( spl2_244
| ~ spl2_490
| spl2_497 ),
inference(sat_conversion,[],[f66917]) ).
cnf(s7340,plain,
( ~ spl2_491
| spl2_528
| spl2_529 ),
inference(sat_conversion,[],[f66968]) ).
cnf(s7366,plain,
( ~ spl2_490
| spl2_504
| ~ spl2_1136 ),
inference(sat_conversion,[],[f67128]) ).
cnf(s7367,plain,
( spl2_21
| spl2_184
| ~ spl2_1136 ),
inference(sat_conversion,[],[f67131]) ).
cnf(s7369,plain,
( spl2_164
| ~ spl2_692
| ~ spl2_710
| spl2_1032 ),
inference(sat_conversion,[],[f67189]) ).
cnf(s7371,plain,
( ~ spl2_695
| ~ spl2_1064
| ~ spl2_1213 ),
inference(sat_conversion,[],[f67238]) ).
cnf(s7374,plain,
( spl2_244
| ~ spl2_695
| spl2_723 ),
inference(sat_conversion,[],[f67242]) ).
cnf(s7375,plain,
( ~ spl2_20
| ~ spl2_225
| ~ spl2_695
| spl2_700 ),
inference(sat_conversion,[],[f67244]) ).
cnf(s7380,plain,
( ~ spl2_20
| spl2_221
| ~ spl2_491
| ~ spl2_1059 ),
inference(sat_conversion,[],[f67245]) ).
cnf(s7381,plain,
( ~ spl2_20
| ~ spl2_225
| ~ spl2_490
| spl2_520 ),
inference(sat_conversion,[],[f67246]) ).
cnf(s7382,plain,
( spl2_221
| ~ spl2_695
| spl2_723 ),
inference(sat_conversion,[],[f67247]) ).
cnf(s7383,plain,
( spl2_176
| spl2_188
| spl2_1025 ),
inference(sat_conversion,[],[f67248]) ).
cnf(s7384,plain,
( spl2_176
| spl2_180
| spl2_188 ),
inference(sat_conversion,[],[f67249]) ).
cnf(s7386,plain,
( ~ spl2_491
| spl2_520
| spl2_528 ),
inference(sat_conversion,[],[f67251]) ).
cnf(s7387,plain,
( spl2_221
| ~ spl2_490
| spl2_497 ),
inference(sat_conversion,[],[f67252]) ).
cnf(s7388,plain,
( spl2_166
| ~ spl2_178
| ~ spl2_186
| spl2_190 ),
inference(sat_conversion,[],[f67253]) ).
cnf(s7389,plain,
( ~ spl2_163
| ~ spl2_511
| spl2_513
| spl2_527 ),
inference(sat_conversion,[],[f67254]) ).
cnf(s7390,plain,
( spl2_154
| spl2_176
| spl2_188
| spl2_231 ),
inference(sat_conversion,[],[f67256]) ).
cnf(s7394,plain,
( spl2_15
| ~ spl2_166
| spl2_361 ),
inference(sat_conversion,[],[f67311]) ).
cnf(s7397,plain,
( spl2_15
| ~ spl2_166
| spl2_362 ),
inference(sat_conversion,[],[f67316]) ).
cnf(s7399,plain,
( spl2_100
| ~ spl2_166
| spl2_360 ),
inference(sat_conversion,[],[f67317]) ).
cnf(s7410,plain,
( ~ spl2_180
| spl2_230
| spl2_231 ),
inference(sat_conversion,[],[f67401]) ).
cnf(s7411,plain,
( ~ spl2_180
| spl2_226
| spl2_232 ),
inference(sat_conversion,[],[f67402]) ).
cnf(s7420,plain,
( spl2_566
| ~ spl2_1159 ),
inference(sat_conversion,[],[f67466]) ).
cnf(s7429,plain,
( ~ spl2_370
| ~ spl2_695
| spl2_727 ),
inference(sat_conversion,[],[f67534]) ).
cnf(s7430,plain,
( spl2_204
| ~ spl2_370
| ~ spl2_695
| spl2_727 ),
inference(sat_conversion,[],[f67535]) ).
cnf(s7446,plain,
( ~ spl2_166
| spl2_713
| ~ spl2_1141 ),
inference(sat_conversion,[],[f67870]) ).
cnf(s7447,plain,
( spl2_161
| spl2_226
| spl2_264
| spl2_316 ),
inference(sat_conversion,[],[f67876]) ).
cnf(s7448,plain,
( ~ spl2_180
| ~ spl2_695
| ~ spl2_1143 ),
inference(sat_conversion,[],[f67900]) ).
cnf(s7461,plain,
( ~ spl2_180
| ~ spl2_699
| ~ spl2_1142 ),
inference(sat_conversion,[],[f68043]) ).
cnf(s7462,plain,
( ~ spl2_2
| ~ spl2_1032 ),
inference(sat_conversion,[],[f68081]) ).
cnf(s7463,plain,
( ~ spl2_371
| ~ spl2_713
| ~ spl2_1032 ),
inference(sat_conversion,[],[f68084]) ).
cnf(s7468,plain,
( ~ spl2_49
| spl2_192
| ~ spl2_1045 ),
inference(sat_conversion,[],[f68092]) ).
cnf(s7470,plain,
( spl2_175
| spl2_178
| spl2_188
| spl2_240 ),
inference(sat_conversion,[],[f68094]) ).
cnf(s7472,plain,
( spl2_264
| ~ spl2_544
| spl2_860 ),
inference(sat_conversion,[],[f68096]) ).
cnf(s7478,plain,
( ~ spl2_151
| spl2_714
| ~ spl2_1141 ),
inference(sat_conversion,[],[f68105]) ).
cnf(s7479,plain,
( ~ spl2_540
| spl2_700
| ~ spl2_723 ),
inference(sat_conversion,[],[f68106]) ).
cnf(s7484,plain,
( spl2_15
| ~ spl2_16
| spl2_154
| ~ spl2_166 ),
inference(sat_conversion,[],[f68114]) ).
cnf(s7485,plain,
( ~ spl2_16
| spl2_501
| ~ spl2_1058 ),
inference(sat_conversion,[],[f68117]) ).
cnf(s7486,plain,
( spl2_9
| ~ spl2_166
| spl2_360 ),
inference(sat_conversion,[],[f68118]) ).
cnf(s7488,plain,
( spl2_154
| ~ spl2_180
| spl2_243 ),
inference(sat_conversion,[],[f68120]) ).
cnf(s7490,plain,
( spl2_205
| spl2_504
| spl2_526
| spl2_779 ),
inference(sat_conversion,[],[f68124]) ).
cnf(s7491,plain,
( spl2_154
| ~ spl2_180
| spl2_245 ),
inference(sat_conversion,[],[f68125]) ).
cnf(s7492,plain,
( spl2_513
| ~ spl2_697
| ~ spl2_710
| spl2_792 ),
inference(sat_conversion,[],[f68126]) ).
cnf(s7494,plain,
( spl2_21
| ~ spl2_25
| spl2_204
| spl2_503
| spl2_520 ),
inference(sat_conversion,[],[f68127]) ).
cnf(s7496,plain,
( spl2_15
| spl2_43
| spl2_154
| ~ spl2_166 ),
inference(sat_conversion,[],[f68129]) ).
cnf(s7498,plain,
( spl2_176
| spl2_188
| spl2_192
| spl2_549 ),
inference(sat_conversion,[],[f68131]) ).
cnf(s7500,plain,
( spl2_15
| spl2_43
| spl2_58 ),
inference(sat_conversion,[],[f68141]) ).
cnf(s7502,plain,
( spl2_18
| spl2_70
| spl2_86 ),
inference(sat_conversion,[],[f68154]) ).
cnf(s7512,plain,
( spl2_100
| ~ spl2_164
| spl2_365 ),
inference(sat_conversion,[],[f68247]) ).
cnf(s7513,plain,
( spl2_15
| ~ spl2_164
| spl2_367 ),
inference(sat_conversion,[],[f68248]) ).
cnf(s7514,plain,
( spl2_15
| ~ spl2_164
| spl2_366 ),
inference(sat_conversion,[],[f68249]) ).
cnf(s7515,plain,
( spl2_15
| ~ spl2_164
| spl2_368 ),
inference(sat_conversion,[],[f68250]) ).
cnf(s7520,plain,
( spl2_503
| spl2_506
| spl2_507 ),
inference(sat_conversion,[],[f68267]) ).
cnf(s7532,plain,
( spl2_15
| ~ spl2_513
| spl2_566 ),
inference(sat_conversion,[],[f68352]) ).
cnf(s7534,plain,
( spl2_43
| spl2_100
| ~ spl2_513
| ~ spl2_569 ),
inference(sat_conversion,[],[f68355]) ).
cnf(s7535,plain,
( spl2_15
| ~ spl2_16
| spl2_503
| ~ spl2_513 ),
inference(sat_conversion,[],[f68356]) ).
cnf(s7540,plain,
( ~ spl2_179
| spl2_219
| spl2_243 ),
inference(sat_conversion,[],[f68456]) ).
cnf(s7542,plain,
( ~ spl2_179
| spl2_240
| spl2_244 ),
inference(sat_conversion,[],[f68459]) ).
cnf(s7553,plain,
( spl2_15
| ~ spl2_16
| spl2_714
| ~ spl2_787 ),
inference(sat_conversion,[],[f68529]) ).
cnf(s7561,plain,
( spl2_230
| ~ spl2_620
| spl2_624 ),
inference(sat_conversion,[],[f68643]) ).
cnf(s7570,plain,
( ~ spl2_179
| ~ spl2_568
| ~ spl2_733 ),
inference(sat_conversion,[],[f68694]) ).
cnf(s7581,plain,
( ~ spl2_180
| ~ spl2_691
| ~ spl2_1207 ),
inference(sat_conversion,[],[f68973]) ).
cnf(s7584,plain,
( ~ spl2_179
| ~ spl2_691
| ~ spl2_1141 ),
inference(sat_conversion,[],[f68978]) ).
cnf(s7587,plain,
( ~ spl2_20
| spl2_221
| ~ spl2_691
| ~ spl2_1213 ),
inference(sat_conversion,[],[f68979]) ).
cnf(s7588,plain,
( spl2_520
| ~ spl2_733
| spl2_779 ),
inference(sat_conversion,[],[f68981]) ).
cnf(s7589,plain,
( ~ spl2_241
| ~ spl2_723
| ~ spl2_787 ),
inference(sat_conversion,[],[f68982]) ).
cnf(s7590,plain,
( spl2_43
| spl2_100
| ~ spl2_164
| ~ spl2_233 ),
inference(sat_conversion,[],[f68983]) ).
cnf(s7592,plain,
( spl2_12
| spl2_175
| spl2_213 ),
inference(sat_conversion,[],[f68989]) ).
cnf(s7594,plain,
( spl2_192
| spl2_213
| spl2_219 ),
inference(sat_conversion,[],[f68998]) ).
cnf(s7606,plain,
( ~ spl2_695
| ~ spl2_1049
| ~ spl2_1065 ),
inference(sat_conversion,[],[f69169]) ).
cnf(s7621,plain,
( ~ spl2_693
| ~ spl2_779
| ~ spl2_1142 ),
inference(sat_conversion,[],[f69363]) ).
cnf(s7622,plain,
( spl2_20
| spl2_183
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s1963,s6646,s2668,s1397,s3092,s2246,s1261,s39,s396,s849,s27,s37,s2816,s11,s113,s793,s6638,s2646]) ).
cnf(s7623,plain,
( ~ spl2_39
| spl2_712
| spl2_188
| spl2_28
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s2954,s7281,s1301,s2245,s2268,s2646,s3207,s419,s5193]) ).
cnf(s7624,plain,
( spl2_500
| spl2_710
| spl2_712
| spl2_188
| spl2_205
| spl2_28
| spl2_1064
| ~ spl2_241
| ~ spl2_50
| spl2_183
| ~ spl2_998
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s5423,s6521,s3967,s6615,s7280,s6126,s6646,s4512,s2280,s2266,s5648,s6120,s6101,s7281,s4211,s2954,s2182,s7462,s2646,s4537,s4568,s4585,s6323,s3512,s7622]) ).
cnf(s7625,plain,
( spl2_184
| ~ spl2_500
| spl2_188
| ~ spl2_50
| spl2_371
| spl2_579 ),
inference(rat,[],[s7280,s6218,s3967,s2754,s5423,s5204,s6859]) ).
cnf(s7626,plain,
( ~ spl2_184
| spl2_204
| spl2_205
| spl2_28
| ~ spl2_41
| ~ spl2_21
| ~ spl2_192
| ~ spl2_70 ),
inference(rat,[],[s1809,s4947,s6521,s4494,s4805]) ).
cnf(s7627,plain,
( spl2_31
| spl2_28
| ~ spl2_41
| ~ spl2_21
| spl2_77
| ~ spl2_192
| ~ spl2_998
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7369,s6646,s7624,s4328,s2754,s7625,s5423,s5204,s7626,s2664,s2717,s7275,s396,s7462,s4558,s5193,s4805,s3872,s6859,s1332,s58,s5034,s419,s4585,s849,s6638]) ).
cnf(s7628,plain,
( ~ spl2_31
| spl2_57 ),
inference(rat,[],[s4827,s2814,s2816,s58]) ).
cnf(s7629,plain,
( ~ spl2_787
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_50
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s5386,s5345,s5353,s6323,s4568,s419]) ).
cnf(s7630,plain,
( spl2_206
| ~ spl2_41
| spl2_204
| spl2_205
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s1809,s5199,s4947,s4585,s419]) ).
cnf(s7631,plain,
( ~ spl2_41
| ~ spl2_21
| spl2_77
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6646,s5041,s4328,s6179,s5423,s4494,s7630,s3202,s7629,s4447,s4977,s7004,s7627,s4568,s3128,s7622,s4805,s6859,s1332,s58,s396,s3603,s2664,s7628,s5034,s419,s4585,s849,s6638]) ).
cnf(s7632,plain,
( ~ spl2_21
| spl2_18
| spl2_77
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7285,s3250,s7631,s7275,s849,s6638,s7628,s5034,s419,s4585]) ).
cnf(s7633,plain,
( spl2_710
| spl2_28
| spl2_77
| ~ spl2_192
| ~ spl2_998
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7374,s5499,s1120,s6132,s6521,s7625,s6323,s7589,s7624,s3512,s2646,s4558,s5193,s7622,s4805,s3872,s6859,s1332,s58,s396,s7275,s3603,s2717,s850,s6638,s7628,s5034,s419,s4585]) ).
cnf(s7634,plain,
( spl2_184
| ~ spl2_710
| spl2_205
| ~ spl2_50
| spl2_371
| spl2_1032 ),
inference(rat,[],[s6646,s7369,s4328,s2754,s5423,s5204,s6859]) ).
cnf(s7635,plain,
( ~ spl2_224
| ~ spl2_458
| spl2_211
| ~ spl2_221
| ~ spl2_41
| spl2_161
| spl2_188
| spl2_28 ),
inference(rat,[],[s1810,s6874,s5330]) ).
cnf(s7636,plain,
( spl2_28
| spl2_18
| spl2_77
| ~ spl2_192
| ~ spl2_998
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6149,s1327,s6070,s4393,s7635,s1362,s569,s7390,s5156,s7282,s975,s1809,s2976,s623,s6521,s7634,s7633,s7630,s7285,s2664,s3603,s7275,s396,s3270,s850,s3162,s7462,s6638,s6504,s4568,s4805,s4500,s58,s1105,s977,s4151,s2134,s2648,s1332,s7628,s5034,s419,s4585]) ).
cnf(s7637,plain,
( ~ spl2_779
| ~ spl2_700
| ~ spl2_1142
| ~ spl2_235
| spl2_188
| spl2_716 ),
inference(rat,[],[s6101,s7281,s7179,s7621]) ).
cnf(s7638,plain,
( spl2_526
| spl2_779
| ~ spl2_34
| spl2_205 ),
inference(rat,[],[s1369,s7588,s7490,s6644]) ).
cnf(s7639,plain,
( spl2_186
| ~ spl2_710
| ~ spl2_34
| ~ spl2_206
| spl2_205
| ~ spl2_41
| spl2_22
| spl2_499
| spl2_204
| spl2_1052
| spl2_21
| spl2_370
| ~ spl2_227
| ~ spl2_50
| ~ spl2_20
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s1191,s7283,s6612,s1476,s7638,s7637,s6606,s6642,s6149,s3282,s6342,s928,s5330,s1362,s4868,s7390,s5156,s7282,s975,s1809,s2976,s623,s5194,s2646,s6504,s4568,s2648,s7272]) ).
cnf(s7640,plain,
( ~ spl2_221
| ~ spl2_186
| ~ spl2_34
| ~ spl2_184
| ~ spl2_206
| spl2_188
| spl2_245
| spl2_232
| spl2_22
| spl2_1052
| ~ spl2_50
| ~ spl2_20 ),
inference(rat,[],[s6342,s5330,s7388,s1362,s4989,s7384,s4868,s7491,s5156,s7282,s4583,s994]) ).
cnf(s7641,plain,
( ~ spl2_528
| ~ spl2_700
| ~ spl2_691
| ~ spl2_225
| spl2_188
| spl2_716 ),
inference(rat,[],[s7281,s6101,s4371,s4556]) ).
cnf(s7642,plain,
( ~ spl2_491
| spl2_528
| ~ spl2_34 ),
inference(rat,[],[s1369,s7386,s7031]) ).
cnf(s7643,plain,
( ~ spl2_710
| ~ spl2_184
| spl2_205
| spl2_22
| spl2_499
| spl2_161
| spl2_204
| spl2_1052
| spl2_21
| spl2_18
| spl2_77
| ~ spl2_192
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s2509,s2956,s6218,s7280,s7642,s7641,s2172,s1327,s7277,s7388,s1564,s1444,s4989,s5519,s7447,s7384,s4868,s1097,s7491,s5156,s6719,s7282,s5502,s7540,s7369,s3653,s1131,s2521,s2739,s7640,s7639,s7462,s2646,s4558,s5193,s7622,s4805,s58,s1858,s1105,s977,s1857,s1719,s4151,s2134,s2648,s1332,s7272,s7630,s7285,s5034,s419,s4585,s7125]) ).
cnf(s7644,plain,
( ~ spl2_184
| spl2_205
| spl2_22
| spl2_499
| spl2_161
| spl2_204
| spl2_1052
| spl2_21
| spl2_18
| spl2_77
| ~ spl2_192
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s994,s4586,s7382,s5499,s6132,s6323,s7589,s3512,s7643,s7125,s2646,s7622,s4805,s58,s5034,s419,s3872,s1332,s4585]) ).
cnf(s7645,plain,
( spl2_205
| spl2_22
| spl2_499
| spl2_712
| spl2_161
| spl2_204
| spl2_1052
| spl2_21
| spl2_18
| spl2_77
| ~ spl2_192
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6126,s7281,s7280,s6646,s2954,s3967,s4328,s7634,s7625,s5423,s7644,s7272,s7462,s4558,s5193,s6859,s1332,s58,s5034,s419,s4585]) ).
cnf(s7646,plain,
( ~ spl2_221
| ~ spl2_500
| ~ spl2_710
| spl2_188
| ~ spl2_178
| ~ spl2_205
| spl2_245
| spl2_22
| spl2_161
| spl2_204
| spl2_1052
| spl2_21
| ~ spl2_50
| ~ spl2_20
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s6785,s7637,s6606,s5498,s6642,s6612,s6149,s3282,s6342,s928,s5330,s1362,s7384,s4868,s2790,s7491,s5156,s4947,s5194,s2646,s419,s6504,s4568,s2648]) ).
cnf(s7647,plain,
( ~ spl2_500
| ~ spl2_710
| spl2_188
| ~ spl2_34
| ~ spl2_178
| ~ spl2_205
| spl2_245
| spl2_22
| spl2_161
| spl2_204
| spl2_1052
| spl2_21
| spl2_18
| ~ spl2_50
| ~ spl2_20
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s7642,s7641,s6719,s7280,s5502,s6218,s7369,s3653,s2521,s2739,s7646,s7462,s2646,s4558,s5193]) ).
cnf(s7648,plain,
( ~ spl2_513
| ~ spl2_184
| spl2_175
| spl2_22
| ~ spl2_241
| ~ spl2_50
| ~ spl2_20
| spl2_541 ),
inference(rat,[],[s3288,s6349,s7008,s7306,s2916]) ).
cnf(s7649,plain,
( ~ spl2_787
| ~ spl2_184
| spl2_175
| spl2_161
| ~ spl2_241
| ~ spl2_50
| ~ spl2_20
| spl2_716 ),
inference(rat,[],[s5499,s6132,s4586,s6323,s7589]) ).
cnf(s7650,plain,
( spl2_18
| spl2_77
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s5519,s4868,s1564,s7262,s7258,s7647,s3512,s7649,s2182,s7648,s7125,s3289,s6179,s4583,s2787,s396,s7645,s1719,s1857,s110,s1269,s2716,s3601,s2678,s153,s4977,s5651,s7636,s7632,s2646,s3207,s5193,s3128,s7622,s4805,s4151,s2134,s2648,s4305,s58,s3872,s1332,s7628,s5034,s419,s4585]) ).
cnf(s7651,plain,
( spl2_205
| ~ spl2_18
| spl2_31
| spl2_1064
| ~ spl2_241
| ~ spl2_50
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s850,s5056,s5047,s4103,s2182,s7648,s994,s5423,s7028,s4640,s623,s4101,s4070,s119,s6544,s102,s3250,s7272,s6638,s4585,s3207,s419,s5193]) ).
cnf(s7652,plain,
( spl2_77
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4103,s4070,s5047,s2182,s119,s7648,s102,s6179,s110,s3601,s153,s4977,s2787,s850,s849,s396,s7651,s7650,s7628,s6859,s3872,s58,s4305,s1332,s5034,s6638,s4585,s3207,s5193,s7622,s4805,s419]) ).
cnf(s7653,plain,
( spl2_264
| ~ spl2_221
| spl2_1052
| ~ spl2_206
| ~ spl2_41
| spl2_161
| spl2_204
| spl2_371
| ~ spl2_710
| spl2_499
| spl2_21
| ~ spl2_184
| ~ spl2_50
| spl2_205
| ~ spl2_20
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7639,s7640,s1105,s1719,s1857,s977,s3250,s7272,s7125]) ).
cnf(s7654,plain,
( spl2_191
| ~ spl2_700
| spl2_204
| ~ spl2_710
| spl2_504
| ~ spl2_500
| ~ spl2_50
| spl2_205
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s7637,s7490,s6642,s6612,s6149,s6342,s928,s5194,s2646,s6504,s4568,s2648,s3250,s7272]) ).
cnf(s7655,plain,
( ~ spl2_727
| ~ spl2_1141
| ~ spl2_263
| spl2_787
| spl2_161
| ~ spl2_2 ),
inference(rat,[],[s7446,s2707,s3004,s5587,s4537,s4585,s6504,s4568,s2648]) ).
cnf(s7656,plain,
( ~ spl2_700
| ~ spl2_263
| ~ spl2_221
| spl2_1052
| spl2_787
| spl2_175
| spl2_161
| spl2_204
| spl2_702
| ~ spl2_710
| spl2_504
| ~ spl2_500
| ~ spl2_184
| ~ spl2_50
| spl2_205
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s1362,s7384,s5330,s2981,s4868,s7429,s7470,s3307,s7655,s7006,s4526,s6070,s6642,s6092,s7654,s5499,s6132,s2646,s6504,s4568,s2648,s3250,s7272,s7125]) ).
cnf(s7657,plain,
( spl2_191
| ~ spl2_1213
| spl2_204
| ~ spl2_710
| ~ spl2_50
| ~ spl2_20
| spl2_804 ),
inference(rat,[],[s6642,s6149,s7175,s6342]) ).
cnf(s7658,plain,
( spl2_166
| ~ spl2_231
| spl2_787
| spl2_513
| spl2_161
| spl2_204
| ~ spl2_710
| spl2_504
| ~ spl2_500
| spl2_205
| ~ spl2_2 ),
inference(rat,[],[s6126,s7280,s7281,s6646,s3491,s7621,s3001,s5503,s7490,s5587,s7389,s6642,s6612,s377,s6149,s7462,s5194,s6504,s4568,s2648,s7272]) ).
cnf(s7659,plain,
( ~ spl2_178
| ~ spl2_191
| ~ spl2_263
| ~ spl2_221
| spl2_1052
| spl2_787
| spl2_513
| ~ spl2_206
| spl2_161
| spl2_204
| ~ spl2_241
| ~ spl2_710
| spl2_504
| ~ spl2_500
| spl2_205
| spl2_579
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1253,s2919,s1208,s5608,s7283,s6856,s623,s2981,s1562,s2168,s1650,s1327,s7397,s7486,s7658,s7390,s7383,s7384,s1362,s5330,s1564,s5519,s4868,s5156,s4957,s5193,s4585,s7047,s3250,s7272]) ).
cnf(s7660,plain,
( ~ spl2_221
| spl2_1052
| spl2_175
| ~ spl2_41
| spl2_161
| spl2_204
| spl2_371
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_21
| ~ spl2_184
| ~ spl2_50
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6126,s6646,s7280,s7281,s7584,s7146,s7621,s6601,s7490,s6642,s6612,s6149,s7158,s7282,s7470,s7659,s7657,s7232,s7656,s980,s7653,s7462,s5194,s6504,s4568,s2648,s4558,s7630,s7648,s3250,s7272,s3207,s5193,s7649,s3872,s7622,s4805,s419,s2646]) ).
cnf(s7661,plain,
( spl2_221
| spl2_161
| ~ spl2_710
| ~ spl2_500
| spl2_18
| spl2_21
| ~ spl2_34
| ~ spl2_50
| spl2_188
| spl2_579
| ~ spl2_2 ),
inference(rat,[],[s7642,s7641,s6719,s7280,s5502,s6218,s7369,s3653,s2521,s2739,s7462,s2646]) ).
cnf(s7662,plain,
( ~ spl2_700
| ~ spl2_263
| spl2_787
| spl2_175
| ~ spl2_221
| spl2_161
| spl2_204
| spl2_702
| ~ spl2_710
| spl2_504
| ~ spl2_500
| ~ spl2_184
| ~ spl2_50
| ~ spl2_1044
| spl2_205
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s6101,s7281,s6808,s7621,s7163,s7490,s6644,s6612,s5216,s4406,s5330,s1362,s7384,s2981,s7430,s7655,s7470,s7006,s4526,s6070,s6642,s6092,s5499,s7654,s6132,s5194,s2646,s6504,s4568,s2648,s7272]) ).
cnf(s7663,plain,
( spl2_166
| ~ spl2_178
| spl2_154
| ~ spl2_191
| spl2_700
| spl2_787
| spl2_513
| ~ spl2_221
| spl2_161
| spl2_204
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_205
| ~ spl2_2 ),
inference(rat,[],[s4393,s5330,s7106,s1362,s6641,s7390,s5587,s6070,s7658,s377,s6149,s6504,s4568,s2648,s7272]) ).
cnf(s7664,plain,
( ~ spl2_178
| spl2_154
| ~ spl2_191
| spl2_700
| ~ spl2_263
| spl2_787
| spl2_513
| ~ spl2_221
| spl2_161
| spl2_204
| ~ spl2_241
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_1044
| spl2_205
| spl2_579
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1253,s2919,s1208,s5608,s7283,s6856,s623,s2981,s1562,s7383,s7384,s2168,s1650,s1362,s1564,s5330,s5519,s1327,s5216,s7397,s7486,s7663,s4957,s5193,s4585,s7047,s3250,s7272]) ).
cnf(s7665,plain,
( spl2_175
| ~ spl2_41
| ~ spl2_221
| spl2_161
| spl2_204
| spl2_371
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_21
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6126,s6646,s7280,s7281,s7584,s7146,s7621,s6601,s7490,s6642,s6612,s6149,s7158,s7282,s7470,s7664,s3307,s7657,s7232,s7662,s980,s5651,s7660,s7649,s7648,s7462,s5194,s2646,s6504,s4568,s2648,s3207,s4558,s5193,s7622,s4805,s419,s3250,s7272,s4447,s7004,s7125,s3872]) ).
cnf(s7666,plain,
( spl2_371
| ~ spl2_710
| ~ spl2_500
| spl2_18
| spl2_21
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s1362,s5330,s7470,s1587,s5216,s7158,s7394,s6198,s7657,s7232,s6526,s6108,s7285,s2693,s7665,s7649,s994,s7661,s3601,s2678,s153,s3631,s3872,s7077,s2646,s6504,s4568,s2648,s7047,s4558,s5193,s7622,s4805,s419,s3250,s7272,s4447,s7004,s7125,s4471,s1256,s4738,s7652]) ).
cnf(s7667,plain,
( ~ spl2_700
| ~ spl2_221
| spl2_161
| spl2_204
| ~ spl2_490
| spl2_702
| ~ spl2_710
| spl2_504
| ~ spl2_500
| ~ spl2_184
| ~ spl2_50
| ~ spl2_1044
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s1362,s5330,s7384,s4406,s4759,s7163,s7249,s6644,s7389,s6612,s377,s7446,s2266,s6104,s6808,s4574,s6101,s7281,s7470,s7006,s4776,s4526,s6642,s4586,s3307,s6092,s5499,s7654,s6132,s5194,s2646,s4537,s4585,s6504,s4568,s2648,s7272,s4313,s994,s7125]) ).
cnf(s7668,plain,
( spl2_176
| ~ spl2_792
| ~ spl2_695
| spl2_154
| spl2_787
| spl2_700
| spl2_161
| spl2_204
| ~ spl2_490
| ~ spl2_710
| ~ spl2_500
| ~ spl2_34
| spl2_205
| spl2_579
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s6089,s5498,s6642,s4557,s7461,s7642,s5096,s7280,s5502,s6218,s7369,s1562,s7397,s2707,s5587,s6641,s1624,s6701,s7249,s7448,s4759,s7384,s7462,s6504,s4568,s2648,s7272]) ).
cnf(s7669,plain,
( spl2_161
| spl2_204
| ~ spl2_371
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_18
| spl2_21
| ~ spl2_184
| ~ spl2_50
| ~ spl2_1044
| ~ spl2_28
| spl2_205
| ~ spl2_20
| spl2_579
| spl2_388
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s6078,s4526,s1229,s7470,s1362,s5330,s4868,s5651,s980,s1312,s7668,s7129,s7281,s4776,s4586,s5499,s3307,s6150,s7657,s6323,s7232,s7667,s994,s7661,s4537,s6504,s4568,s2648,s3250,s7125,s7283,s6278,s4957,s5193,s4585,s7272]) ).
cnf(s7670,plain,
( ~ spl2_161
| ~ spl2_371
| ~ spl2_710
| ~ spl2_500
| spl2_804 ),
inference(rat,[],[s6131,s1731,s3585]) ).
cnf(s7671,plain,
( ~ spl2_710
| ~ spl2_500
| spl2_18
| spl2_21
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2981,s7429,s7384,s6645,s5499,s3004,s1312,s1236,s6096,s980,s989,s4304,s4306,s3999,s153,s2683,s2678,s7669,s7670,s7666,s4738,s5194,s4537,s6504,s4568,s2648,s7047,s4830,s4585,s4558,s5193,s7622,s4805,s419,s7272,s4447,s7004,s4471,s7652,s1256]) ).
cnf(s7672,plain,
( spl2_371
| spl2_161
| ~ spl2_1025
| spl2_702
| ~ spl2_787
| ~ spl2_184
| ~ spl2_50
| ~ spl2_20
| spl2_716 ),
inference(rat,[],[s3441,s2847,s7649,s5307,s3872,s6132,s6323]) ).
cnf(s7673,plain,
( ~ spl2_176
| spl2_154
| ~ spl2_178
| spl2_164
| ~ spl2_221
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_22
| ~ spl2_20
| ~ spl2_192
| ~ spl2_43 ),
inference(rat,[],[s6342,s7388,s5330,s4989,s4868,s5651,s3747,s1362,s1444,s623]) ).
cnf(s7674,plain,
( ~ spl2_178
| spl2_164
| spl2_513
| ~ spl2_221
| ~ spl2_490
| spl2_161
| spl2_204
| ~ spl2_528
| ~ spl2_787
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| ~ spl2_998
| ~ spl2_2 ),
inference(rat,[],[s6642,s6398,s6078,s7389,s5498,s7249,s4557,s4759,s7384,s7673,s5156,s5194,s4585,s6504,s4568,s2648,s3250,s4947,s419,s7281,s4776,s4586,s994,s7125,s6647,s6132,s6323,s2646,s7272]) ).
cnf(s7675,plain,
( ~ spl2_221
| ~ spl2_490
| ~ spl2_371
| spl2_161
| spl2_204
| ~ spl2_528
| ~ spl2_787
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s6078,s4526,s1229,s7470,s7674,s7514,s2847,s6364,s2266,s6104,s4574,s6101,s7281,s4776,s4586,s994,s4537,s4585,s6504,s4568,s2648,s7047,s3128,s7272,s4447,s7004,s7125,s6647,s6132,s6323,s2646,s4313]) ).
cnf(s7676,plain,
( spl2_161
| spl2_204
| ~ spl2_787
| ~ spl2_500
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7281,s6101,s4776,s4556,s7382,s2739,s7675,s7283,s6278,s7672,s4957,s4585,s4297,s3967,s7642,s7280,s4378,s6647,s6132,s6323,s2646,s4558,s5193,s6325,s7272,s7125]) ).
cnf(s7677,plain,
( ~ spl2_161
| ~ spl2_28
| spl2_6 ),
inference(rat,[],[s153,s4306,s3601,s3591]) ).
cnf(s7678,plain,
( ~ spl2_21
| spl2_204
| ~ spl2_184
| spl2_205
| ~ spl2_14
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s7630,s4494,s28,s3250,s7272]) ).
cnf(s7679,plain,
( ~ spl2_868
| ~ spl2_500
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_20
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s6349,s2825,s7306,s7515,s5047,s1633,s623,s4103,s4101,s3207,s419,s5193]) ).
cnf(s7680,plain,
( ~ spl2_18
| spl2_32
| spl2_22 ),
inference(rat,[],[s119,s102]) ).
cnf(s7681,plain,
( ~ spl2_500
| ~ spl2_710
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2664,s7678,s849,s7671,s7680,s4070,s7679,s2815,s2248,s1256,s6638,s2646,s7047,s7622,s4805,s419,s2770,s7652,s3250,s7272,s6243]) ).
cnf(s7682,plain,
( ~ spl2_221
| ~ spl2_691
| spl2_175
| spl2_164
| spl2_499
| spl2_204
| ~ spl2_1046
| ~ spl2_520
| ~ spl2_710
| ~ spl2_184
| ~ spl2_50
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s7673,s7384,s7470,s4557,s1229,s6644,s6196,s3307,s7657,s7232,s6101,s7281,s4371,s7642,s7280,s6317,s5194,s4585,s2646,s6504,s4568,s2648,s4805,s3250,s7125,s7283,s6349,s3207,s419,s5193,s7272]) ).
cnf(s7683,plain,
( ~ spl2_710
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4776,s4586,s7281,s6647,s6101,s6132,s6719,s3653,s7682,s5502,s378,s5622,s6616,s7283,s4503,s6349,s4796,s1269,s2678,s4574,s7306,s6634,s2182,s3917,s7681,s7462,s2646,s3207,s5193,s3128,s7622,s4805,s419,s7652,s7272,s4447,s7004,s7677]) ).
cnf(s7684,plain,
( ~ spl2_500
| ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4557,s7384,s6644,s1312,s1236,s980,s989,s3631,s4306,s7642,s3999,s153,s7280,s2683,s2678,s4378,s7676,s5194,s4830,s4585,s4558,s5193,s7272,s7677,s7125,s6325,s6647,s6132,s6323,s3512,s7683,s7622,s4805,s419,s2646]) ).
cnf(s7685,plain,
( ~ spl2_184
| ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6101,s7281,s4574,s2953,s2182,s7684,s6323,s3512,s7683,s2646,s7622,s4805,s419,s7272,s4447,s7004]) ).
cnf(s7686,plain,
( spl2_700
| ~ spl2_1064
| spl2_499
| ~ spl2_186
| ~ spl2_50
| spl2_205
| ~ spl2_20
| spl2_1032 ),
inference(rat,[],[s6647,s5653,s7371,s6323,s7232]) ).
cnf(s7687,plain,
( spl2_728
| spl2_204
| ~ spl2_34
| spl2_508
| spl2_710
| ~ spl2_693
| ~ spl2_500
| spl2_205
| ~ spl2_8
| spl2_527 ),
inference(rat,[],[s6612,s7638,s1329,s7621,s2237,s6642]) ).
cnf(s7688,plain,
( ~ spl2_500
| spl2_184
| ~ spl2_50
| ~ spl2_1044
| ~ spl2_28
| spl2_205
| ~ spl2_77
| ~ spl2_20
| spl2_579
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6318,s7282,s6092,s6077,s7687,s2681,s7126,s5047,s6703,s2739,s5353,s2953,s6096,s6139,s6150,s7369,s6647,s6646,s4586,s4371,s4776,s7281,s6101,s7686,s5423,s4680,s7031,s3967,s7283,s7280,s6278,s6218,s1256,s4471,s7462,s5194,s2646,s4957,s5193,s4537,s4585,s6504,s4568,s2648,s7272,s623,s4977,s6179,s378,s5097,s7677]) ).
cnf(s7689,plain,
( ~ spl2_733
| spl2_787
| ~ spl2_693
| spl2_500
| ~ spl2_998
| spl2_804 ),
inference(rat,[],[s5587,s4727,s6722,s6721,s2182]) ).
cnf(s7690,plain,
( ~ spl2_691
| spl2_499
| ~ spl2_1046
| spl2_500
| ~ spl2_206
| spl2_175
| ~ spl2_186
| spl2_184
| ~ spl2_50
| spl2_161
| spl2_205
| spl2_183
| ~ spl2_998
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6318,s7282,s6196,s1476,s5498,s7689,s2739,s6317,s7280,s7031,s5187,s3288,s4776,s4586,s6647,s5653,s2851,s2946,s4371,s7281,s6101,s7686,s5423,s4328,s7462,s5194,s2646,s6504,s4568,s2648,s3250,s7272,s7306,s2182,s7622]) ).
cnf(s7691,plain,
( ~ spl2_50
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6101,s7281,s6323,s2953,s3512,s7369,s6646,s7690,s1269,s4574,s6634,s2182,s3917,s7688,s5199,s378,s623,s5097,s7685,s7462,s4585,s2646,s3128,s4558,s5193,s7622,s4805,s419,s7652,s7272,s4447,s7004,s7677]) ).
cnf(s7692,plain,
( spl2_526
| ~ spl2_178
| ~ spl2_1150
| spl2_1046
| ~ spl2_528
| spl2_504
| spl2_205 ),
inference(rat,[],[s5330,s1362,s926,s4406,s7384,s7179,s7163,s4557,s7490,s6644,s7272,s2738,s4556]) ).
cnf(s7693,plain,
( ~ spl2_526
| spl2_508
| ~ spl2_694
| ~ spl2_787
| ~ spl2_500
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2255,s7486,s6078,s6612,s5194,s6504,s4568,s2648]) ).
cnf(s7694,plain,
( ~ spl2_694
| spl2_204
| ~ spl2_528
| ~ spl2_695
| ~ spl2_787
| ~ spl2_700
| spl2_504
| ~ spl2_500
| ~ spl2_34
| spl2_161
| ~ spl2_28
| spl2_205
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7470,s7692,s1229,s7693,s7283,s6278,s5598,s7589,s4586,s994,s2738,s5047,s4556,s6808,s4574,s6101,s2646,s4957,s5193,s4585,s7272,s4447,s7004]) ).
cnf(s7695,plain,
( ~ spl2_693
| ~ spl2_528
| ~ spl2_791
| ~ spl2_787
| spl2_696
| ~ spl2_710
| spl2_205
| spl2_579
| spl2_15
| spl2_1032 ),
inference(rat,[],[s6856,s3288,s2162,s4776,s2849,s3487,s7515,s7369,s6646,s2946,s4371,s3250,s7272,s6647]) ).
cnf(s7696,plain,
( ~ spl2_700
| ~ spl2_710
| spl2_504
| ~ spl2_500
| ~ spl2_184
| ~ spl2_57
| ~ spl2_28
| spl2_205
| spl2_579
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6851,s5344,s7389,s4812,s3999,s2669,s2683,s4574,s7694,s6101,s7281,s7695,s7031,s7280,s4378,s6325,s6647,s6125,s6132,s7462,s5194,s2646,s4537,s4568,s4585,s7047,s7272,s4447,s7004,s7677,s7125]) ).
cnf(s7697,plain,
( ~ spl2_492
| ~ spl2_1046
| ~ spl2_500
| ~ spl2_28
| spl2_183
| spl2_579
| spl2_9 ),
inference(rat,[],[s3084,s6998,s6317,s6218]) ).
cnf(s7698,plain,
( ~ spl2_695
| ~ spl2_692
| ~ spl2_705
| ~ spl2_164
| ~ spl2_221
| ~ spl2_178
| ~ spl2_792
| spl2_204
| spl2_787
| spl2_700
| ~ spl2_710
| ~ spl2_500
| ~ spl2_34
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s5330,s926,s4868,s6699,s5651,s6641,s980,s3080,s1362,s1312,s1444,s7668,s7283,s6278,s2754,s2006,s4568,s4957,s4830,s4585,s4558,s5193,s3250,s7272,s5156,s4947,s419]) ).
cnf(s7699,plain,
( ~ spl2_164
| ~ spl2_221
| ~ spl2_178
| ~ spl2_528
| spl2_513
| ~ spl2_694
| spl2_204
| spl2_787
| spl2_700
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_34
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s7663,s7446,s7175,s6601,s6642,s6077,s6647,s7698,s6646,s1955,s1967,s2266,s1279,s4537,s4585,s6504,s4568,s2648,s7232,s7129,s5156,s4947,s419]) ).
cnf(s7700,plain,
( ~ spl2_221
| ~ spl2_178
| ~ spl2_528
| spl2_513
| ~ spl2_694
| spl2_204
| spl2_700
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_184
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_15
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s1810,s7277,s5330,s4989,s4868,s5651,s3747,s1362,s1444,s7668,s6647,s7283,s2693,s5653,s6856,s6526,s623,s7699,s5156,s4947,s7462,s4585,s4558,s5193,s7622,s4805,s419,s3250,s7272,s7125,s7129,s2851,s6517]) ).
cnf(s7701,plain,
( spl2_221
| ~ spl2_1213
| ~ spl2_710
| ~ spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_8
| spl2_1032 ),
inference(rat,[],[s7369,s6646,s2290,s7587,s3084]) ).
cnf(s7702,plain,
( ~ spl2_492
| spl2_513
| ~ spl2_694
| ~ spl2_221
| spl2_702
| ~ spl2_500
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1560,s1633,s2707,s1444,s6856,s7389,s2956,s3288,s6851,s4313,s6104,s2266,s1967,s1955,s5502,s6998,s6317,s6126,s6218,s7462,s5194,s4537,s4568,s4585,s4558,s5193,s4805,s419,s3250,s7272]) ).
cnf(s7703,plain,
( spl2_513
| ~ spl2_694
| spl2_204
| spl2_700
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_184
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6647,s6150,s4526,s7158,s6078,s6612,s7638,s7146,s7282,s7470,s7700,s7031,s7280,s7702,s5194,s4537,s4585,s6504,s4568,s2648,s7047,s7272,s2851,s6517,s994,s7701,s7232,s7622,s4805,s419,s7462,s7125]) ).
cnf(s7704,plain,
( ~ spl2_178
| ~ spl2_41
| ~ spl2_695
| spl2_164
| ~ spl2_490
| ~ spl2_792
| spl2_204
| ~ spl2_221
| spl2_787
| spl2_700
| ~ spl2_710
| ~ spl2_500
| ~ spl2_184
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s1810,s7277,s5330,s4989,s4868,s5651,s3747,s1362,s1444,s7668,s5156,s4585,s4558,s5193,s3250,s7272,s7125,s4947,s419]) ).
cnf(s7705,plain,
( ~ spl2_694
| spl2_204
| spl2_700
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_184
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6078,s4526,s1229,s7470,s7704,s2693,s6647,s6526,s5653,s1467,s6615,s7283,s7280,s6349,s7697,s6138,s4574,s1417,s7703,s7129,s6504,s4568,s2648,s3207,s7047,s3128,s4558,s5193,s7272,s4447,s7004,s2851,s6517,s994,s7701,s7232,s7622,s4805,s419,s7462,s7125]) ).
cnf(s7706,plain,
( ~ spl2_1142
| ~ spl2_520
| ~ spl2_693
| ~ spl2_1213
| ~ spl2_34
| spl2_205
| ~ spl2_20
| spl2_527 ),
inference(rat,[],[s6196,s7638,s7175,s7621]) ).
cnf(s7707,plain,
( spl2_204
| spl2_700
| spl2_702
| ~ spl2_710
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_184
| spl2_161
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7470,s7158,s6077,s6149,s6642,s7706,s6150,s6647,s4586,s4776,s7283,s6349,s5390,s5632,s7281,s7705,s5194,s4537,s4585,s6504,s4568,s2648,s3207,s5193,s7272,s2851,s6517,s994,s7701,s7232,s7622,s4805,s419,s7462,s7125]) ).
cnf(s7708,plain,
( ~ spl2_710
| ~ spl2_500
| ~ spl2_184
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6647,s6096,s4586,s3631,s4304,s7479,s153,s2669,s2678,s7707,s994,s7701,s7232,s7696,s4738,s7462,s4537,s4568,s4585,s4558,s5193,s7622,s4805,s419,s7677,s7250,s7691,s3250,s7272,s7125,s4471,s7652,s1256]) ).
cnf(s7709,plain,
( spl2_204
| ~ spl2_528
| ~ spl2_695
| ~ spl2_787
| spl2_504
| ~ spl2_500
| ~ spl2_34
| spl2_161
| ~ spl2_28
| spl2_205
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s6278,s3288,s5598,s4776,s7589,s4586,s5041,s6646,s4371,s7281,s7694,s4957,s5193,s4585,s3250,s7272,s5345,s6517,s6325,s419,s4568]) ).
cnf(s7710,plain,
( ~ spl2_500
| ~ spl2_184
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4557,s7384,s6644,s1312,s1236,s980,s989,s3631,s4306,s3999,s153,s2683,s2678,s7709,s7031,s7280,s4378,s6647,s6132,s6517,s6325,s3512,s7708,s4471,s5194,s2646,s4830,s4585,s4558,s5193,s7652,s7272,s7677,s7125]) ).
cnf(s7711,plain,
( ~ spl2_700
| ~ spl2_1046
| ~ spl2_513
| ~ spl2_57
| spl2_188
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2946,s7281,s6325,s6101,s6125,s2646,s4537,s4568,s4585]) ).
cnf(s7712,plain,
( spl2_526
| ~ spl2_710
| ~ spl2_1213
| spl2_204
| spl2_500
| ~ spl2_57
| spl2_161
| spl2_205
| ~ spl2_20
| ~ spl2_998
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6642,s7175,s6149,s5759,s1329,s6722,s2554,s6644,s7077,s6504,s4568,s2648,s2182]) ).
cnf(s7713,plain,
( ~ spl2_184
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s7175,s6642,s6196,s6078,s7712,s7281,s4776,s4586,s6647,s5653,s3512,s2851,s6517,s7232,s7711,s378,s1191,s6616,s7283,s6349,s6138,s1269,s2678,s4574,s1417,s6634,s2182,s3917,s7710,s7462,s5194,s6504,s4568,s2648,s3207,s5193,s3128,s7622,s4805,s419,s7652,s4447,s7004,s7677,s7250,s7691,s3250,s7272]) ).
cnf(s7714,plain,
( ~ spl2_700
| ~ spl2_1046
| ~ spl2_528
| ~ spl2_500
| ~ spl2_371
| spl2_175
| spl2_164
| ~ spl2_57
| ~ spl2_28
| spl2_205
| ~ spl2_20
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6318,s7282,s6092,s6077,s7687,s2681,s6703,s2739,s6096,s6139,s6647,s7369,s4586,s6646,s4776,s4371,s7126,s5047,s7281,s5353,s7711,s6101,s6125,s7462,s5194,s2646,s4537,s6504,s4568,s2648,s4447,s7004,s7677,s7283,s6278,s4957,s5193,s4585,s7272]) ).
cnf(s7715,plain,
( ~ spl2_500
| ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s5653,s6647,s2851,s7371,s6517,s7232,s7714,s5423,s4680,s7031,s3967,s7283,s7280,s6278,s6218,s1256,s4471,s7462,s4957,s4585,s4558,s5193,s7622,s4805,s419,s7250,s7691,s3250,s7272,s623,s4977,s6179,s378,s5097,s4447,s7004,s7652,s7677,s7713]) ).
cnf(s7716,plain,
( ~ spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6647,s5653,s4586,s2851,s7479,s6517,s7711,s4574,s2182,s7715,s378,s623,s5097,s4407,s7713,s7250,s7691,s4447,s7004,s7462,s7652,s3250,s7272]) ).
cnf(s7717,plain,
( ~ spl2_700
| spl2_186
| ~ spl2_184
| spl2_504
| ~ spl2_500
| ~ spl2_23
| spl2_205
| spl2_579
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7281,s4776,s2266,s7283,s6364,s6229,s1279,s3872,s6615,s7031,s7589,s7280,s7374,s4378,s6325,s2847,s6647,s6108,s6132,s2646,s4957,s5193,s4537,s4568,s4585,s3128,s7272,s1120,s7514,s623,s7047]) ).
cnf(s7718,plain,
( ~ spl2_492
| spl2_513
| ~ spl2_50
| ~ spl2_694
| spl2_702
| ~ spl2_365
| spl2_459
| spl2_161
| ~ spl2_164
| spl2_1046
| spl2_205
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s1560,s2707,s1444,s7389,s2956,s6851,s6120,s5648,s2266,s1967,s1955,s5502,s6126,s7462,s5194,s5193,s4537,s4568,s4585]) ).
cnf(s7719,plain,
( spl2_713
| ~ spl2_191
| ~ spl2_50
| ~ spl2_792
| ~ spl2_221
| ~ spl2_709
| ~ spl2_695
| spl2_702
| spl2_787
| spl2_204
| spl2_700
| spl2_161
| ~ spl2_164
| ~ spl2_500
| ~ spl2_23
| ~ spl2_34
| spl2_205
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s1362,s5330,s3289,s4393,s5467,s4500,s1327,s7429,s980,s6871,s3080,s1312,s569,s1444,s7668,s7283,s6278,s6646,s3872,s1955,s2280,s1967,s4568,s4957,s4830,s4585,s4558,s5193,s3250,s7272,s4640,s3512,s3307]) ).
cnf(s7720,plain,
( ~ spl2_50
| ~ spl2_694
| ~ spl2_709
| ~ spl2_695
| spl2_702
| spl2_787
| spl2_204
| spl2_700
| ~ spl2_365
| spl2_459
| spl2_161
| ~ spl2_164
| spl2_1046
| spl2_499
| spl2_504
| ~ spl2_500
| ~ spl2_23
| ~ spl2_34
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s7718,s4211,s7280,s6120,s3557,s5648,s6564,s2266,s7719,s7657,s4537,s4585,s6504,s4568,s2648,s7272,s7232,s3512,s2738,s7375,s7129]) ).
cnf(s7721,plain,
( spl2_154
| ~ spl2_371
| ~ spl2_490
| spl2_501
| ~ spl2_492
| ~ spl2_792
| ~ spl2_221
| ~ spl2_695
| spl2_787
| spl2_204
| spl2_700
| spl2_161
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s6874,s7169,s4868,s4385,s7091,s977,s5503,s980,s2956,s1312,s569,s1444,s7668,s4830,s4558,s3250,s7272,s3162,s4585,s5549,s6572,s3207,s419,s5193,s3512]) ).
cnf(s7722,plain,
( ~ spl2_154
| ~ spl2_715
| spl2_204
| ~ spl2_1213
| ~ spl2_34
| ~ spl2_20 ),
inference(rat,[],[s6642,s7175,s6086,s3307]) ).
cnf(s7723,plain,
( ~ spl2_490
| spl2_501
| ~ spl2_492
| ~ spl2_792
| ~ spl2_221
| ~ spl2_695
| spl2_154
| spl2_787
| spl2_204
| spl2_700
| spl2_161
| ~ spl2_164
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_192
| spl2_15
| ~ spl2_2 ),
inference(rat,[],[s2754,s7721,s1194]) ).
cnf(s7724,plain,
( ~ spl2_178
| ~ spl2_1059
| spl2_513
| ~ spl2_489
| ~ spl2_776
| ~ spl2_221
| spl2_154
| spl2_787
| spl2_204
| spl2_700
| spl2_161
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_205
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s7663,s6724,s2192,s6644,s1476,s5194,s1213,s3512]) ).
cnf(s7725,plain,
( ~ spl2_240
| spl2_371
| ~ spl2_695
| ~ spl2_710
| spl2_804 ),
inference(rat,[],[s6149,s7158,s4526]) ).
cnf(s7726,plain,
( ~ spl2_492
| ~ spl2_694
| ~ spl2_695
| spl2_702
| spl2_787
| ~ spl2_184
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s5759,s6724,s6722,s6644,s7724,s1476,s5390,s7470,s6349,s7725,s6278,s3288,s7723,s6564,s2266,s1967,s1955,s5502,s6126,s7462,s7077,s5194,s4957,s4537,s6504,s2648,s3128,s3512,s7722,s3202,s4568,s7232,s994,s2738,s7375,s7129,s7250,s7720,s1999,s2664,s5490,s5479,s850,s6638,s7717,s4558,s6998,s1633,s3595,s623,s6521,s4805,s6572,s3207,s5193,s39,s3162,s4585,s419,s7047,s3250,s7272]) ).
cnf(s7727,plain,
( ~ spl2_694
| ~ spl2_695
| spl2_702
| spl2_787
| ~ spl2_184
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1362,s5330,s3289,s926,s4868,s5467,s6699,s6777,s7429,s6641,s3080,s1444,s7668,s7283,s6278,s6646,s3872,s1955,s2280,s1967,s2266,s1279,s7031,s7280,s7726,s7129,s4957,s4537,s7047,s3250,s7272,s3595,s4640,s623,s5575,s3512,s2646,s7722,s3202,s4568,s2664,s5490,s5479,s850,s6638,s7232,s3162,s4585,s1999,s2738,s7375,s7717,s6521,s4805,s419,s39,s4558,s5193]) ).
cnf(s7728,plain,
( ~ spl2_695
| spl2_702
| spl2_787
| ~ spl2_184
| spl2_499
| spl2_504
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s6349,s3288,s5390,s4776,s5632,s7281,s7727,s7374,s3207,s3250,s7272,s1120,s7717,s6521,s4805,s419,s39,s4558,s5193]) ).
cnf(s7729,plain,
( ~ spl2_178
| spl2_713
| ~ spl2_528
| ~ spl2_696
| spl2_204
| spl2_700
| spl2_1046
| spl2_504
| ~ spl2_500
| spl2_205
| ~ spl2_2 ),
inference(rat,[],[s7446,s6601,s6612,s6642,s7692,s6077,s5194,s6504,s4568,s2648,s6808]) ).
cnf(s7730,plain,
( ~ spl2_694
| spl2_371
| ~ spl2_696
| spl2_204
| spl2_700
| ~ spl2_164
| spl2_1046
| spl2_504
| ~ spl2_500
| ~ spl2_34
| spl2_205
| ~ spl2_2 ),
inference(rat,[],[s7638,s6612,s7146,s7158,s7282,s7470,s7729,s994,s2266,s2738,s1279,s4556,s7031,s7280,s6158,s7462,s5194,s4537,s4568,s4585,s7272]) ).
cnf(s7731,plain,
( spl2_787
| ~ spl2_184
| spl2_499
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_77
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s3861,s4211,s5390,s5343,s5632,s7281,s7730,s6150,s6647,s7728,s5305,s5575,s7220,s3512,s2646,s4537,s4568,s7272,s3162,s4585,s5549,s6572,s3207,s623,s2664,s5490,s5479,s7717,s6521,s4805,s419,s4471,s39,s4558,s5193,s850,s6638]) ).
cnf(s7732,plain,
( ~ spl2_695
| ~ spl2_787
| ~ spl2_1150
| spl2_508
| spl2_700
| spl2_161
| spl2_244
| spl2_1046
| spl2_504
| ~ spl2_500
| ~ spl2_34
| spl2_205
| ~ spl2_20
| spl2_579
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7470,s1229,s7692,s7693,s7281,s4776,s7283,s6278,s7031,s3872,s994,s7280,s7589,s2738,s4378,s7374,s7375,s4957,s5193,s4585,s7272,s6325]) ).
cnf(s7733,plain,
( ~ spl2_694
| ~ spl2_696
| ~ spl2_787
| spl2_204
| spl2_508
| spl2_700
| ~ spl2_164
| spl2_1046
| spl2_504
| ~ spl2_500
| ~ spl2_34
| spl2_205
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s3289,s7729,s7031,s7146,s6096,s7280,s7490,s7730,s6158,s7693,s7462,s4537,s4568,s4585,s3250,s7272]) ).
cnf(s7734,plain,
( ~ spl2_184
| spl2_499
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_77
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s3861,s5390,s2946,s5632,s7281,s7733,s6647,s7732,s6325,s7731,s6808,s2664,s5056,s5490,s5479,s7717,s3595,s623,s1120,s6521,s4558,s4805,s7272,s3162,s4585,s850,s6638,s39,s4471,s6572,s3207,s419,s5193]) ).
cnf(s7735,plain,
( ~ spl2_491
| ~ spl2_787
| ~ spl2_700
| spl2_568
| spl2_1046
| spl2_504
| ~ spl2_500
| spl2_205
| ~ spl2_2 ),
inference(rat,[],[s2849,s5308,s1348,s6139,s6278,s7389,s2738,s3288,s6851,s4211,s4556,s5608,s5344,s7031,s3967,s7462,s5194,s4957,s5193,s4585,s3250,s7272]) ).
cnf(s7736,plain,
( ~ spl2_700
| spl2_568
| spl2_504
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6318,s7282,s6092,s6077,s7687,s5575,s5302,s2903,s5390,s7278,s3861,s2664,s5056,s6424,s2946,s5490,s2285,s7281,s2739,s5477,s3288,s6646,s6158,s6139,s5608,s2990,s6647,s3581,s4640,s6998,s4378,s6218,s7280,s7735,s6325,s6108,s4297,s7462,s5194,s2646,s6504,s4568,s2648,s4558,s7622,s4805,s3250,s7272,s3162,s4585,s850,s6638,s39,s6572,s3207,s419,s5193]) ).
cnf(s7737,plain,
( ~ spl2_695
| spl2_723
| ~ spl2_77 ),
inference(rat,[],[s378,s3487,s4586]) ).
cnf(s7738,plain,
( spl2_787
| ~ spl2_696
| spl2_700
| spl2_504
| ~ spl2_500
| spl2_28
| spl2_205
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s3861,s4211,s5390,s5343,s5632,s7281,s7730,s623,s5653,s6150,s5305,s5575,s3512,s7462,s2646,s4537,s4568,s7272,s3162,s4585,s39,s5549,s6572,s3207,s419,s5193,s2664,s5490,s5479,s850,s6638]) ).
cnf(s7739,plain,
( ~ spl2_694
| ~ spl2_787
| ~ spl2_696
| spl2_204
| spl2_161
| spl2_508
| spl2_700
| spl2_1046
| spl2_504
| ~ spl2_500
| ~ spl2_23
| ~ spl2_34
| spl2_205
| spl2_183
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s4556,s2739,s7031,s6526,s7280,s7733,s6158,s7462,s7272]) ).
cnf(s7740,plain,
( ~ spl2_500
| spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s3861,s5390,s2946,s5632,s7281,s7739,s6325,s7738,s6647,s7737,s2664,s3603,s5056,s5490,s7479,s5479,s7736,s4812,s4407,s7734,s6572,s1256,s4471,s3207,s5193,s7622,s4805,s7652,s7272,s3162,s4585,s419,s850,s6638,s39,s7716]) ).
cnf(s7741,plain,
( spl2_186
| ~ spl2_694
| ~ spl2_787
| spl2_499
| spl2_204
| spl2_500
| spl2_205
| ~ spl2_998
| ~ spl2_8
| spl2_1032 ),
inference(rat,[],[s6126,s6646,s7280,s5080,s1434,s7272]) ).
cnf(s7742,plain,
( spl2_526
| ~ spl2_57
| spl2_1046
| spl2_504
| spl2_161
| spl2_500
| spl2_205
| ~ spl2_8
| spl2_472 ),
inference(rat,[],[s926,s5759,s7179,s2563,s7490,s6644]) ).
cnf(s7743,plain,
( ~ spl2_695
| ~ spl2_489
| spl2_175
| spl2_1046
| spl2_504
| ~ spl2_694
| ~ spl2_787
| spl2_161
| spl2_500
| spl2_205
| ~ spl2_77
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s4526,s7470,s6078,s1476,s7742,s7250,s5648,s5748,s3872,s7589,s7737,s7077,s5194,s4957,s5193,s4585,s6504,s4568,s2648,s3250,s7272,s6120,s4211,s2182]) ).
cnf(s7744,plain,
( ~ spl2_700
| spl2_499
| spl2_161
| spl2_204
| spl2_500
| spl2_28
| spl2_205
| ~ spl2_77
| spl2_183
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6647,s7743,s6158,s7280,s7007,s3288,s4812,s4680,s4407,s6179,s6521,s4636,s7741,s6101,s4978,s7281,s7278,s2946,s2906,s6325,s6108,s5345,s7462,s4568,s2646,s419,s3128,s3250,s7272,s39,s2182]) ).
cnf(s7745,plain,
( ~ spl2_504
| spl2_1047
| ~ spl2_715
| spl2_700
| ~ spl2_34
| spl2_188 ),
inference(rat,[],[s4786,s5302,s7278,s5390,s4978,s1369]) ).
cnf(s7746,plain,
( ~ spl2_695
| ~ spl2_694
| spl2_504
| spl2_700
| spl2_161
| spl2_500
| ~ spl2_23
| ~ spl2_34
| spl2_205
| ~ spl2_77
| spl2_183
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s4526,s7470,s6078,s1476,s7742,s7250,s7306,s6317,s6349,s7280,s3288,s1428,s6616,s6998,s4407,s6526,s994,s7479,s2738,s7737,s7375,s7077,s5194,s6504,s4568,s2648,s3207,s419,s5193,s3128,s7622,s3250,s7272,s2182]) ).
cnf(s7747,plain,
( ~ spl2_694
| spl2_504
| spl2_787
| spl2_700
| spl2_499
| spl2_161
| spl2_204
| spl2_500
| ~ spl2_23
| ~ spl2_34
| spl2_205
| ~ spl2_77
| spl2_183
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7280,s1434,s6158,s5653,s6647,s7746,s7462,s7272]) ).
cnf(s7748,plain,
( ~ spl2_221
| spl2_517
| ~ spl2_1046
| ~ spl2_566
| ~ spl2_23
| spl2_183 ),
inference(rat,[],[s1869,s6317,s6526]) ).
cnf(s7749,plain,
( spl2_787
| spl2_499
| spl2_161
| spl2_204
| spl2_500
| spl2_28
| spl2_205
| ~ spl2_77
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s1444,s3080,s7384,s6646,s6109,s7587,s7748,s4202,s1650,s1566,s6850,s4381,s7486,s6641,s6149,s6699,s6642,s928,s7706,s6196,s5498,s5390,s6120,s7689,s5632,s5647,s7281,s7747,s7745,s5575,s3202,s3512,s5194,s2646,s6504,s4568,s2648,s3128,s7622,s3250,s7272,s3162,s4585,s39,s4211,s7532,s2182,s7047,s7232,s7744,s4805,s419]) ).
cnf(s7750,plain,
( ~ spl2_1142
| ~ spl2_57
| ~ spl2_787
| ~ spl2_1213
| ~ spl2_20
| ~ spl2_998
| spl2_472 ),
inference(rat,[],[s5759,s7175,s6398]) ).
cnf(s7751,plain,
( spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s7570,s7282,s6644,s6077,s6078,s6642,s7750,s7007,s7280,s6158,s6647,s7746,s4978,s2945,s7281,s7278,s7250,s2946,s2906,s6323,s6325,s7749,s7232,s7744,s1269,s3601,s2678,s6634,s2182,s3917,s7740,s39,s3162,s7716,s3250,s7272,s7462,s7077,s5193,s4585,s6504,s4568,s2648,s3128,s7622,s4805,s419,s7652]) ).
cnf(s7752,plain,
( spl2_787
| spl2_161
| ~ spl2_700
| ~ spl2_205
| spl2_183
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3102,s7028,s848,s623,s396,s2780,s7628,s58,s6108,s6125,s2646,s4537,s4568,s4585,s7622]) ).
cnf(s7753,plain,
( ~ spl2_695
| ~ spl2_620
| spl2_154
| spl2_728
| ~ spl2_191
| ~ spl2_224
| spl2_1046
| spl2_188
| spl2_175
| ~ spl2_791
| spl2_504
| ~ spl2_500
| spl2_579 ),
inference(rat,[],[s5330,s1362,s2738,s7390,s4556,s3491,s7031,s7470,s7280,s4526,s4378]) ).
cnf(s7754,plain,
( ~ spl2_694
| spl2_204
| spl2_188
| spl2_175
| ~ spl2_787
| spl2_161
| ~ spl2_28
| spl2_504
| ~ spl2_500
| ~ spl2_700
| spl2_579
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7031,s4556,s7280,s2739,s6158,s6139,s5499,s7753,s5503,s7389,s6398,s6642,s3307,s6092,s926,s4406,s7179,s7163,s6785,s5498,s7693,s5047,s6808,s4574,s6101,s7462,s5194,s2646,s6504,s4568,s2648,s3128,s6325,s7126,s5353,s4447,s7004]) ).
cnf(s7755,plain,
( ~ spl2_723
| ~ spl2_693
| ~ spl2_787
| spl2_22
| ~ spl2_500
| spl2_509 ),
inference(rat,[],[s6278,s3288,s3872,s4776,s7589]) ).
cnf(s7756,plain,
( ~ spl2_693
| spl2_188
| ~ spl2_791
| ~ spl2_787
| ~ spl2_1044
| spl2_161
| ~ spl2_500
| ~ spl2_700
| ~ spl2_205
| ~ spl2_77
| ~ spl2_20
| spl2_579
| ~ spl2_2 ),
inference(rat,[],[s5390,s7380,s3861,s7280,s2780,s6218,s623,s5097,s6132,s6139,s5499,s7737,s7755,s2946,s7462,s2646,s4957,s4585,s3207,s419,s5193,s3255]) ).
cnf(s7757,plain,
( spl2_188
| ~ spl2_28
| ~ spl2_500
| ~ spl2_700
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2781,s2266,s4306,s6703,s153,s2681,s2678,s7754,s7281,s7756,s4537,s4585,s4558,s5193,s7622,s4471,s7652,s6325,s2787,s5386,s5353,s7752,s7677,s4805,s4447,s7004,s5345,s419,s4568,s7751]) ).
cnf(s7759,plain,
( spl2_186
| spl2_204
| ~ spl2_188
| ~ spl2_787
| ~ spl2_500
| ~ spl2_700
| spl2_9
| spl2_804 ),
inference(rat,[],[s6092,s2258,s7260,s7486,s1560,s947,s6998,s1633,s623]) ).
cnf(s7760,plain,
( ~ spl2_221
| ~ spl2_528
| ~ spl2_371
| ~ spl2_491
| ~ spl2_23
| ~ spl2_188
| ~ spl2_787
| ~ spl2_700
| spl2_183
| spl2_388
| spl2_9
| spl2_1032 ),
inference(rat,[],[s1312,s2156,s1560,s2849,s1625,s1279,s947,s7515,s6998,s6526,s6139,s7047]) ).
cnf(s7761,plain,
( ~ spl2_695
| ~ spl2_23
| ~ spl2_188
| ~ spl2_787
| spl2_161
| ~ spl2_28
| ~ spl2_500
| ~ spl2_700
| ~ spl2_77
| spl2_183
| spl2_579
| spl2_388
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3731,s3861,s2290,s7381,s3084,s2739,s7760,s3288,s6278,s7031,s3872,s3283,s7589,s4378,s7737,s7462,s4957,s4585,s3207,s419,s5193,s7622,s4471,s3255,s6325]) ).
cnf(s7762,plain,
( ~ spl2_186
| ~ spl2_188
| spl2_161
| ~ spl2_28
| ~ spl2_500
| ~ spl2_700
| ~ spl2_205
| ~ spl2_77
| spl2_183
| spl2_579
| spl2_388
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3288,s7381,s6856,s3861,s3731,s5097,s2739,s6132,s6139,s5499,s7761,s2780,s7462,s2646,s3207,s419,s5193,s7622,s4447,s7004,s3255,s7752]) ).
cnf(s7763,plain,
( ~ spl2_28
| ~ spl2_500
| ~ spl2_700
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4305,s5759,s3999,s153,s7260,s2683,s2678,s1560,s947,s6998,s7759,s1633,s623,s7762,s7757,s7752,s7677,s7077,s6504,s4568,s2648,s4830,s4585,s4558,s5193,s4805,s419,s7652,s7751]) ).
cnf(s7764,plain,
( spl2_28
| ~ spl2_700
| ~ spl2_205
| ~ spl2_20
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2255,s7486,s1697,s6092,s6198,s71,s5482,s7628,s5490,s6108,s396,s39,s850,s7077,s6638,s2646,s6504,s4568,s2648]) ).
cnf(s7765,plain,
( ~ spl2_700
| ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s3288,s6349,s6616,s5097,s3731,s7281,s6101,s6138,s2946,s4574,s1417,s6325,s2182,s7752,s3255,s4447,s7763,s7677,s7004,s7764,s2646,s3207,s5193,s3128,s7622,s4805,s419,s7751]) ).
cnf(s7766,plain,
( spl2_23
| spl2_161
| ~ spl2_28
| ~ spl2_169
| ~ spl2_205
| spl2_183
| spl2_9
| ~ spl2_8 ),
inference(rat,[],[s3084,s3102,s6998,s623,s2780]) ).
cnf(s7767,plain,
( ~ spl2_492
| ~ spl2_694
| ~ spl2_164
| ~ spl2_221
| spl2_154
| spl2_188
| spl2_702
| spl2_161
| ~ spl2_28
| ~ spl2_205
| ~ spl2_192
| ~ spl2_2 ),
inference(rat,[],[s1444,s2956,s7390,s5503,s975,s4291,s977,s6104,s2781,s2266,s2276,s5011,s5502,s6126,s6317,s7462,s5193,s4537,s4568,s4585,s4805,s419]) ).
cnf(s7768,plain,
( spl2_191
| spl2_204
| ~ spl2_710
| ~ spl2_28
| ~ spl2_1213
| ~ spl2_20
| ~ spl2_8
| spl2_804 ),
inference(rat,[],[s6149,s6642,s1329,s7175,s6514]) ).
cnf(s7769,plain,
( spl2_166
| ~ spl2_528
| ~ spl2_221
| ~ spl2_191
| spl2_188
| ~ spl2_500
| ~ spl2_23
| spl2_161
| spl2_527 ),
inference(rat,[],[s7384,s4557,s569,s5498,s6871,s6612]) ).
cnf(s7770,plain,
( ~ spl2_491
| ~ spl2_164
| ~ spl2_221
| ~ spl2_191
| spl2_188
| spl2_504
| ~ spl2_500
| ~ spl2_23
| ~ spl2_1044
| spl2_161
| spl2_9
| spl2_527 ),
inference(rat,[],[s7282,s909,s1362,s5330,s1560,s5216,s7486,s7769,s1625,s7031,s6998]) ).
cnf(s7771,plain,
( ~ spl2_221
| ~ spl2_191
| spl2_154
| spl2_188
| spl2_504
| ~ spl2_500
| ~ spl2_23
| spl2_702
| spl2_161
| spl2_700
| ~ spl2_205
| ~ spl2_20
| ~ spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s5390,s5632,s3861,s7281,s4574,s7767,s6317,s7280,s7770,s6526,s5194,s3207,s5193,s4805,s419,s4447,s7004,s850,s396,s5490,s5479,s6638]) ).
cnf(s7772,plain,
( spl2_221
| ~ spl2_710
| spl2_161
| ~ spl2_28
| ~ spl2_1213
| ~ spl2_20
| ~ spl2_8
| spl2_1032 ),
inference(rat,[],[s7369,s5502,s2290,s7587,s3084]) ).
cnf(s7773,plain,
( spl2_204
| spl2_188
| spl2_504
| ~ spl2_500
| spl2_702
| spl2_161
| spl2_700
| ~ spl2_205
| ~ spl2_192
| spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7771,s7768,s7722,s6504,s2648,s3202,s4568,s6544,s7766,s848,s4585,s7772,s3512,s2851,s6517,s850,s396,s5490,s5479,s6638,s7231,s7622,s4805,s419,s7462]) ).
cnf(s7774,plain,
( ~ spl2_204
| ~ spl2_164
| ~ spl2_28
| spl2_700
| ~ spl2_77
| ~ spl2_8
| spl2_6
| spl2_719 ),
inference(rat,[],[s5499,s7737,s6150,s7479,s965,s2669,s2681,s7677,s2851,s6517]) ).
cnf(s7775,plain,
( ~ spl2_188
| ~ spl2_164
| ~ spl2_1044
| ~ spl2_69
| ~ spl2_205 ),
inference(rat,[],[s5519,s1561,s5216,s2777,s947,s7258]) ).
cnf(s7776,plain,
( ~ spl2_192
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s7280,s6317,s1428,s4574,s2182,s7773,s7775,s2790,s7722,s7774,s6998,s6526,s7772,s6544,s7766,s7220,s3202,s3512,s2851,s4447,s6517,s7677,s7004,s850,s848,s396,s5490,s5479,s7231,s7765,s7751,s7652,s7622,s4805,s7462,s6638,s419,s4537,s4568,s4585]) ).
cnf(s7777,plain,
( spl2_224
| spl2_1043
| spl2_1052
| spl2_204
| ~ spl2_715
| spl2_22 ),
inference(rat,[],[s6086,s6070,s4868,s4393]) ).
cnf(s7778,plain,
( spl2_212
| ~ spl2_41
| spl2_161
| spl2_188
| ~ spl2_2 ),
inference(rat,[],[s1810,s5272,s6259,s4585,s2648,s419]) ).
cnf(s7779,plain,
( spl2_1046
| ~ spl2_544
| ~ spl2_163
| ~ spl2_383
| ~ spl2_1044
| spl2_161
| spl2_527 ),
inference(rat,[],[s5503,s3445,s7389,s4450,s4574]) ).
cnf(s7780,plain,
( spl2_787
| ~ spl2_700
| ~ spl2_1044
| ~ spl2_28
| spl2_188
| ~ spl2_58
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6157,s5392,s4788,s4503,s7779,s6070,s377,s6149,s5216,s4406,s4448,s7778,s1269,s2678,s153,s6334,s2693,s4305,s6108,s6125,s3512,s5194,s2646,s4537,s4585,s6504,s4568,s2648,s3207,s419,s5193,s3250,s7677]) ).
cnf(s7781,plain,
( ~ spl2_504
| spl2_57
| ~ spl2_500
| spl2_754
| ~ spl2_23
| ~ spl2_34
| ~ spl2_787
| ~ spl2_700
| spl2_161
| ~ spl2_28
| spl2_188
| ~ spl2_139
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6871,s1329,s2054,s2255,s3307,s6092,s926,s7154,s5503,s3880,s7778,s7285,s7680,s4070,s4103,s5047,s7306,s1369,s6504,s4568,s2648,s3250,s113,s37,s58]) ).
cnf(s7782,plain,
( ~ spl2_513
| ~ spl2_791
| ~ spl2_700
| ~ spl2_1044
| spl2_188
| spl2_716 ),
inference(rat,[],[s7281,s6101,s2946,s4574]) ).
cnf(s7783,plain,
( ~ spl2_700
| ~ spl2_28
| spl2_188
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2678,s4296,s153,s7781,s4305,s5034,s6840,s2479,s3861,s2182,s7782,s6334,s5386,s7126,s5353,s6325,s7780,s5345,s4585,s4568,s2646,s3207,s419,s5193,s247,s7255,s3791,s7776,s3250,s7677,s4447,s7004]) ).
cnf(s7784,plain,
( ~ spl2_21
| ~ spl2_502
| ~ spl2_212
| spl2_204
| ~ spl2_710
| ~ spl2_1044
| spl2_161
| ~ spl2_2 ),
inference(rat,[],[s7779,s6070,s377,s6149,s5216,s4406,s4503,s4448,s5194,s6504,s4568,s2648]) ).
cnf(s7785,plain,
( ~ spl2_23
| spl2_584
| ~ spl2_221
| spl2_12
| ~ spl2_51
| ~ spl2_2 ),
inference(rat,[],[s6526,s2052,s3215,s994,s6544,s4585,s247]) ).
cnf(s7786,plain,
( spl2_502
| ~ spl2_28
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s1417,s6138,s3208,s4796,s5193,s4585,s419]) ).
cnf(s7787,plain,
( spl2_204
| ~ spl2_221
| ~ spl2_710
| ~ spl2_1213
| ~ spl2_1044
| spl2_161
| ~ spl2_28
| spl2_22
| ~ spl2_58
| spl2_12
| ~ spl2_51
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6334,s7784,s7785,s5272,s4090,s7768,s419,s6504,s4568,s2648,s113,s37,s7786]) ).
cnf(s7788,plain,
( ~ spl2_28
| spl2_205
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6526,s7774,s5649,s4151,s6334,s3631,s4305,s4306,s849,s153,s2664,s2678,s7787,s7701,s3512,s2851,s5490,s6517,s5479,s7231,s7783,s113,s4447,s7677,s37,s7004,s7462,s6638,s4537,s4568,s4585,s2134,s2648,s56,s7255,s3791,s7776,s3250,s7272]) ).
cnf(s7789,plain,
( spl2_175
| ~ spl2_151
| ~ spl2_526
| ~ spl2_574
| spl2_22
| ~ spl2_139
| spl2_517
| spl2_527 ),
inference(rat,[],[s2095,s317]) ).
cnf(s7790,plain,
( spl2_787
| spl2_204
| spl2_161
| spl2_28
| spl2_188
| spl2_192
| ~ spl2_2 ),
inference(rat,[],[s5502,s7587,s5041,s994,s7789,s410,s2757,s7722,s1204,s2573,s113,s7745,s27,s7231,s5575,s2245,s6108,s3202,s3512,s5194,s2646,s3886,s4568,s3849,s5193,s247,s7,s3791,s3250,s3162,s4585,s419,s39]) ).
cnf(s7791,plain,
( ~ spl2_700
| ~ spl2_787
| spl2_205
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6703,s2720,s6096,s6168,s6647,s6527,s7382,s6142,s2283,s7785,s4297,s4298,s4537,s4568,s56,s562,s7255,s3791,s7776,s3162,s4585,s419,s39,s7788]) ).
cnf(s7792,plain,
( ~ spl2_221
| spl2_755
| ~ spl2_23
| ~ spl2_34
| spl2_12
| ~ spl2_51 ),
inference(rat,[],[s6526,s2056,s3215,s994,s247]) ).
cnf(s7793,plain,
( ~ spl2_20
| spl2_700
| ~ spl2_787
| spl2_204
| spl2_161
| ~ spl2_23
| spl2_69
| ~ spl2_34
| spl2_205
| spl2_192
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s5473,s2133,s7282,s6135,s6077,s6168,s6647,s6527,s7375,s6142,s1131,s2739,s7792,s6642,s7750,s4079,s7250,s2717,s6323,s5490,s7077,s4537,s4585,s6504,s4568,s2648,s3128,s56,s562,s7255,s3791,s3250,s7272,s7231,s5479]) ).
cnf(s7794,plain,
( spl2_40
| spl2_28
| spl2_188
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7623,s2715,s27,s850,s6638]) ).
cnf(s7795,plain,
( spl2_204
| spl2_161
| spl2_205
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s7793,s7791,s7790,s7776,s3162,s4585,s419,s850,s6638,s39,s113,s7794,s7788,s7272]) ).
cnf(s7796,plain,
( spl2_161
| spl2_205
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s5482,s5759,s7628,s5490,s3999,s2664,s2683,s7795,s7077,s850,s6638,s113,s7794,s7788,s7272]) ).
cnf(s7797,plain,
( spl2_205
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s71,s5490,s1759,s3603,s7796,s113,s7794,s39,s850,s7788,s7272,s6638]) ).
cnf(s7798,plain,
( spl2_700
| spl2_204
| ~ spl2_1044
| spl2_161
| ~ spl2_28
| ~ spl2_58
| spl2_12
| ~ spl2_51
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7787,s7772,s3512,s2851,s6517,s7231,s7462,s113,s37,s3255]) ).
cnf(s7799,plain,
( spl2_23
| spl2_22
| ~ spl2_205
| ~ spl2_58
| spl2_172 ),
inference(rat,[],[s400,s2793,s849,s6334]) ).
cnf(s7800,plain,
( ~ spl2_700
| ~ spl2_23
| ~ spl2_1044
| spl2_161
| ~ spl2_205
| spl2_12
| spl2_510
| ~ spl2_51
| ~ spl2_2 ),
inference(rat,[],[s2369,s2787,s5386,s5353,s7792,s6108,s4295,s5345,s4568,s2646,s419,s247,s6544,s4585]) ).
cnf(s7801,plain,
( ~ spl2_28
| spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s7792,s4307,s7772,s153,s3512,s2678,s2851,s7798,s6517,s7231,s7800,s6544,s7799,s3255,s113,s4447,s7677,s37,s7004,s7462,s6638,s4585,s56,s3886,s4568,s7255,s3791,s7776,s7797]) ).
cnf(s7802,plain,
( spl2_9
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s5479,s5490,s7764,s113,s2816,s396,s850,s7801,s7797,s6638]) ).
cnf(s7803,plain,
( ~ spl2_192
| ~ spl2_34
| ~ spl2_50
| spl2_21
| ~ spl2_710
| spl2_499
| spl2_712
| spl2_1052
| spl2_18
| ~ spl2_41
| spl2_204
| spl2_205
| ~ spl2_20
| spl2_161
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7648,s2182,s4636,s7661,s7639,s7653,s1105,s7634,s3872,s3874,s7645,s7630,s4558,s7462,s3207,s419,s5193,s3255,s977,s2749,s7778,s7272]) ).
cnf(s7804,plain,
( ~ spl2_221
| spl2_723
| ~ spl2_34
| ~ spl2_700
| spl2_205
| spl2_1032 ),
inference(rat,[],[s4586,s6647,s994,s6139]) ).
cnf(s7805,plain,
( spl2_787
| ~ spl2_700
| spl2_499
| spl2_712
| spl2_1052
| spl2_18
| ~ spl2_41
| spl2_204
| spl2_205
| ~ spl2_20
| ~ spl2_1044
| ~ spl2_502
| spl2_161
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6647,s5653,s7382,s1809,s7804,s2283,s562,s7803,s4297,s7127,s7777,s4500,s58,s7784,s6125,s3512,s7462,s4537,s4585,s3255,s2749,s7778,s7272,s5345,s419,s4568]) ).
cnf(s7806,plain,
( ~ spl2_192
| ~ spl2_700
| spl2_23
| spl2_204
| spl2_205
| ~ spl2_28
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s378,s4640,s7649,s7672,s3872,s7688,s3874,s7645,s7630,s4558,s5193,s5386,s5345,s419,s4568,s2182,s7782,s6312,s2646,s4297,s58,s897,s7126,s5353,s7805,s1269,s2716,s153,s4306,s5651,s2749,s7778,s7272,s102,s3255,s2693,s113,s37,s7786,s7677,s4447,s2689,s7802]) ).
cnf(s7807,plain,
( ~ spl2_700
| spl2_23
| spl2_204
| spl2_205
| ~ spl2_28
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6132,s6647,s7367,s7382,s6142,s7804,s2283,s562,s7806,s4297,s5386,s7126,s5353,s7805,s5345,s7462,s4568,s2646,s419,s7786,s4447,s2689,s113,s37,s102,s3255,s5651,s2716,s1269,s153,s4306,s2749,s7778,s2693,s7677,s7272,s7802]) ).
cnf(s7808,plain,
( ~ spl2_34
| ~ spl2_192
| spl2_21
| ~ spl2_710
| spl2_499
| spl2_712
| spl2_1052
| spl2_18
| ~ spl2_41
| spl2_204
| spl2_205
| ~ spl2_20
| spl2_161
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s58,s7803,s897]) ).
cnf(s7809,plain,
( ~ spl2_192
| spl2_21
| ~ spl2_710
| spl2_499
| spl2_712
| spl2_1052
| spl2_18
| ~ spl2_41
| spl2_204
| spl2_205
| ~ spl2_20
| ~ spl2_1044
| spl2_161
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s413,s4868,s5216,s7127,s7808,s7645,s3255]) ).
cnf(s7810,plain,
( ~ spl2_34
| ~ spl2_26
| ~ spl2_139
| spl2_1045
| ~ spl2_221
| ~ spl2_715
| ~ spl2_1213
| spl2_1052
| spl2_204
| ~ spl2_20
| spl2_161 ),
inference(rat,[],[s577,s4989,s317,s6179,s4868,s410,s994,s7722,s3255]) ).
cnf(s7811,plain,
( spl2_23
| spl2_204
| spl2_205
| ~ spl2_28
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2133,s6177,s4868,s5216,s7127,s7810,s2336,s247,s7468,s3791,s7809,s47,s7701,s7784,s3202,s3512,s2851,s6517,s7231,s7807,s1269,s2716,s153,s5651,s4306,s2749,s7778,s102,s2693,s7462,s7077,s4585,s4568,s7802,s7786,s4447,s2689,s113,s37,s3255,s7677,s7272]) ).
cnf(s7812,plain,
( spl2_787
| ~ spl2_192
| spl2_499
| ~ spl2_23
| spl2_204
| spl2_205
| spl2_161
| ~ spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s7285,s7651,s7653,s6859,s3872,s5651,s5097,s3874,s2749,s6526,s4947,s5272,s7701,s7657,s7231,s6108,s3512,s7462,s2646,s6504,s4568,s2648,s4447,s2689,s113,s37,s3255,s65,s420,s58,s7628,s897,s6544,s4585,s4805,s419]) ).
cnf(s7813,plain,
( ~ spl2_192
| spl2_499
| spl2_712
| ~ spl2_23
| spl2_204
| spl2_205
| spl2_161
| ~ spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6647,s7737,s6132,s7589,s7645,s7625,s3872,s5651,s3874,s2749,s7630,s7778,s7285,s7680,s4070,s4103,s5047,s2182,s7782,s6323,s6312,s7812,s4558,s5193,s2646,s4447,s2689,s113,s37,s3255,s7272,s65,s420,s4305,s58,s897,s6544,s4585]) ).
cnf(s7814,plain,
( spl2_787
| ~ spl2_139
| spl2_1045
| ~ spl2_23
| spl2_204
| spl2_205
| spl2_161
| ~ spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s5651,s2749,s7810,s5272,s7701,s7657,s7231,s6108,s3202,s3512,s7462,s2646,s419,s6504,s4568,s2648,s113,s37,s58,s897,s6544,s2336,s65,s420,s4585]) ).
cnf(s7815,plain,
( spl2_204
| spl2_205
| ~ spl2_28
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2479,s7781,s3861,s2182,s4296,s7782,s6323,s6312,s7814,s247,s7468,s3791,s7813,s1269,s2716,s153,s58,s4305,s47,s897,s65,s6544,s7811,s2646,s420,s4585,s3207,s419,s5193,s7802,s7677,s4447,s2689,s113,s37,s7272]) ).
cnf(s7816,plain,
( ~ spl2_204
| ~ spl2_28
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2749,s6259,s4306,s3999,s153,s2683,s2678,s4585,s2648,s7802,s7677]) ).
cnf(s7817,plain,
( spl2_23
| ~ spl2_205
| spl2_204
| spl2_161
| ~ spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3512,s7657,s6323,s7231,s4090,s4295,s2052,s2056,s247,s3791,s3886,s4805,s3102,s848,s396,s7628,s58,s897,s994,s7125,s3084,s5097,s6899,s623,s2780,s419,s6504,s4568,s2648,s4447,s2689,s113,s37,s3255,s4306,s2781,s1410,s7786]) ).
cnf(s7818,plain,
( spl2_787
| ~ spl2_192
| ~ spl2_205
| spl2_204
| spl2_161
| ~ spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3289,s1362,s4583,s7390,s1857,s7775,s975,s3874,s6526,s4947,s5330,s7722,s7772,s7657,s7231,s7777,s6108,s3202,s3512,s7462,s2646,s6504,s4568,s2648,s4447,s2689,s113,s37,s3255,s977,s5651,s2787,s65,s420,s4500,s58,s2781,s1410,s7786,s396,s7628,s897,s6544,s7817,s4585,s4805,s419]) ).
cnf(s7819,plain,
( ~ spl2_221
| ~ spl2_787
| ~ spl2_192
| ~ spl2_23
| ~ spl2_20
| ~ spl2_1044
| spl2_161
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7672,s5097,s4640,s3874,s6526,s4947,s2646,s4805,s419,s4297,s6323,s58,s897,s6544,s4585]) ).
cnf(s7820,plain,
( ~ spl2_192
| ~ spl2_205
| spl2_204
| spl2_161
| ~ spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6179,s7649,s4977,s3872,s3874,s5199,s623,s7028,s7819,s7818,s2646,s4447,s2689,s113,s37,s2787,s65,s420,s58,s897,s6544,s7817,s4585]) ).
cnf(s7821,plain,
( spl2_787
| ~ spl2_221
| ~ spl2_26
| ~ spl2_139
| spl2_1045
| ~ spl2_23
| spl2_1052
| spl2_204
| ~ spl2_20
| spl2_161
| ~ spl2_2 ),
inference(rat,[],[s7230,s7810,s6108,s3202,s4568,s2646,s6544,s4585]) ).
cnf(s7822,plain,
( ~ spl2_28
| ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4586,s5499,s2283,s6132,s4297,s6323,s7821,s2369,s2336,s6179,s247,s7468,s562,s3791,s7820,s58,s2787,s47,s897,s65,s6544,s7817,s5651,s2781,s7815,s7816,s1410,s113,s7786,s7677,s37,s2646,s420,s4585,s7802]) ).
cnf(s7823,plain,
( ~ spl2_221
| spl2_787
| ~ spl2_192
| spl2_22
| spl2_28
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7738,s6647,s2182,s2006,s7648,s7634,s2754,s3872,s3874,s6526,s4947,s994,s7462,s3207,s5193,s11,s5424,s420,s58,s396,s4805,s7745,s5575,s3512,s6108,s2646,s39,s7275,s7628,s897,s3162,s419,s850,s6638,s1967,s1985,s3202,s4585,s4568]) ).
cnf(s7824,plain,
( spl2_787
| ~ spl2_192
| spl2_22
| spl2_28
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s6646,s7369,s7587,s7028,s7823,s7231,s6108,s3512,s7462,s2646,s39,s11,s5424,s420,s58,s396,s7628,s897,s3162,s4585,s419,s850,s6638]) ).
cnf(s7825,plain,
( ~ spl2_221
| ~ spl2_700
| ~ spl2_787
| ~ spl2_192
| spl2_205
| ~ spl2_34
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2728,s7589,s3874,s7804,s4947,s7462,s419]) ).
cnf(s7826,plain,
( ~ spl2_192
| spl2_499
| spl2_22
| spl2_28
| ~ spl2_9
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s6158,s3283,s6647,s7281,s3967,s4586,s2952,s5423,s7589,s7634,s6859,s3872,s7625,s3874,s1463,s6521,s5199,s4837,s623,s7028,s7825,s6323,s7824,s4805,s4558,s7462,s5193,s11,s5424,s420,s58,s396,s7275,s2717,s7628,s897,s3162,s4585,s419,s850,s6638]) ).
cnf(s7827,plain,
( ~ spl2_8
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s6132,s7367,s6647,s6142,s7382,s7804,s2283,s4297,s6323,s7790,s562,s7826,s1269,s808,s4827,s7794,s3603,s2664,s7275,s396,s7628,s58,s11,s3261,s897,s5424,s39,s850,s3162,s7822,s7802,s7462,s6638,s2646,s420,s4585,s419]) ).
cnf(s7828,plain,
( ~ spl2_180
| spl2_205
| spl2_370
| ~ spl2_490
| spl2_511
| ~ spl2_77 ),
inference(rat,[],[s4472,s7249,s6328,s4759]) ).
cnf(s7829,plain,
( spl2_23
| ~ spl2_58
| ~ spl2_1044
| spl2_15
| spl2_205
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s7277,s377,s5097,s5216,s4494,s4448,s7778,s6334,s6886,s4706,s4104,s7384,s7828,s1207,s3288,s5748,s6807,s2678,s804,s3246,s1253,s980,s4957,s5193,s4648,s603,s4151,s5656,s3593,s7827,s4585,s7272,s2134,s2648]) ).
cnf(s7830,plain,
( spl2_9
| spl2_205
| ~ spl2_28
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s378,s6998,s2369,s3084,s7792,s4884,s6544,s7829,s7255,s4447,s7004,s56,s7047,s4079,s3286,s247,s3791,s4830,s1312,s7384,s7828,s1207,s3288,s5748,s3246,s1253,s4957,s5193,s4648,s603,s4151,s2134,s2648,s7272,s6807,s2678,s804,s980,s5656,s3593,s7827,s4585]) ).
cnf(s7831,plain,
( spl2_205
| ~ spl2_28
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s3874,s7830,s4104,s7384,s7828,s7272,s4151,s2134,s2648,s1207,s3288,s5748,s6807,s2678,s804,s3246,s1253,s980,s5656,s3593,s4957,s5193,s4585,s4648,s603,s7827]) ).
cnf(s7832,plain,
( spl2_23
| spl2_9
| ~ spl2_28
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s4759,s1797,s3285,s5156,s1312,s4947,s4830,s3084,s3791,s3289,s6998,s7255,s2976,s623,s7799,s2780,s6638,s419,s5503,s1207,s3288,s5748,s6807,s2678,s804,s3246,s1253,s980,s5656,s3593,s4957,s5193,s4585,s4648,s603,s7827,s7831]) ).
cnf(s7833,plain,
( ~ spl2_180
| spl2_370
| ~ spl2_620
| ~ spl2_490
| ~ spl2_77 ),
inference(rat,[],[s4472,s1797,s6328,s4759]) ).
cnf(s7834,plain,
( ~ spl2_28
| spl2_6
| ~ spl2_2 ),
inference(rat,[],[s2369,s2787,s7792,s4884,s6544,s7832,s7831,s4079,s3286,s56,s3874,s4104,s247,s3791,s4830,s1312,s3285,s7833,s1207,s5503,s1253,s3288,s5748,s4648,s603,s4957,s5193,s4151,s2134,s2648,s3246,s6807,s2678,s804,s980,s5656,s3593,s7827,s4585]) ).
cnf(s7835,plain,
( spl2_6
| ~ spl2_2 ),
inference(rat,[],[s1369,s5196,s7381,s7387,s2739,s7792,s39,s3162,s7834,s562,s3791,s56,s4830,s3874,s1312,s4104,s3285,s7833,s1207,s5503,s113,s3288,s1253,s27,s5748,s6807,s4079,s4151,s980,s40,s4648,s2678,s3286,s5656,s603,s804,s3246,s3593,s7827,s420,s419,s4957,s5193,s4585,s2134,s2648]) ).
cnf(s7836,plain,
( spl2_513
| ~ spl2_2 ),
inference(rat,[],[s3214,s2182,s4957,s5193,s4585,s7835]) ).
cnf(s7837,plain,
( ~ spl2_164
| spl2_22
| ~ spl2_520
| ~ spl2_1044
| ~ spl2_564
| spl2_541 ),
inference(rat,[],[s3288,s6349,s1467,s5097]) ).
cnf(s7838,plain,
( spl2_205
| ~ spl2_520
| ~ spl2_1044
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7792,s6544,s6142,s6334,s2344,s6527,s7255,s247,s4671,s562,s3791,s5480,s4833,s623,s7837,s3250,s7272,s4585,s3207,s3,s7835,s5991,s56,s5652,s4503,s4574,s7836,s4796,s5193,s419]) ).
cnf(s7839,plain,
( ~ spl2_164
| ~ spl2_205
| ~ spl2_520
| ~ spl2_1044
| ~ spl2_564
| ~ spl2_2 ),
inference(rat,[],[s7775,s3250,s3275,s7837,s3207,s419,s5193,s7835]) ).
cnf(s7840,plain,
( spl2_9
| ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s3575,s1528,s2369,s396,s1272,s7792,s7383,s7628,s2063,s2344,s5474,s2782,s1369,s7592,s247,s4671,s6544,s3791,s3849,s5480,s2780,s3731,s4833,s623,s7839,s2787,s7838,s4503,s4796,s4574,s6138,s4447,s5652,s7004,s56,s5991,s5193,s4585,s419,s3,s7835,s7836]) ).
cnf(s7841,plain,
( spl2_100
| ~ spl2_164
| spl2_22
| ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s7837,s6138,s4447,s1414,s4422,s3207,s419,s5193,s7836]) ).
cnf(s7842,plain,
( ~ spl2_192
| spl2_205
| ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s6328,s3285,s7429,s6647,s6259,s1312,s3004,s6096,s2749,s980,s3631,s4304,s4306,s7841,s4833,s4830,s2648,s4537,s4568,s4585,s3,s7835,s7840,s3250,s7272]) ).
cnf(s7843,plain,
( ~ spl2_100
| spl2_12
| spl2_120
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s7257,s187,s194,s4585,s419]) ).
cnf(s7844,plain,
( spl2_205
| ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s6142,s6317,s7367,s1296,s6349,s3288,s7008,s5121,s3283,s5344,s2919,s2916,s3872,s4671,s1410,s4503,s5480,s4796,s4574,s623,s6138,s4447,s7841,s1414,s4422,s7843,s562,s3791,s7842,s527,s3250,s7272,s4585,s2648,s3207,s419,s5193,s7835,s4211,s7836,s7840]) ).
cnf(s7845,plain,
( spl2_22
| ~ spl2_192
| ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s6328,s3285,s7429,s5499,s6259,s1728,s1312,s3004,s6096,s2749,s2751,s980,s3631,s4304,s4306,s7841,s7077,s2648,s4537,s4568,s7840,s4830,s4833,s4585,s3,s7835]) ).
cnf(s7846,plain,
( ~ spl2_22
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s3729,s1728,s849,s3250,s3255,s3275,s6638,s7835]) ).
cnf(s7847,plain,
( ~ spl2_100
| ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s1202,s1978,s2781,s4304,s4306,s4957,s4537,s4568,s4585,s7844,s3849,s5193,s247,s3791,s7845,s7846,s7840]) ).
cnf(s7848,plain,
( ~ spl2_28
| ~ spl2_2 ),
inference(rat,[],[s2777,s1747,s3584,s6179,s7648,s58,s4977,s3872,s897,s2781,s2787,s4671,s6544,s1410,s4503,s5480,s2780,s4796,s4574,s623,s6138,s4447,s7841,s1414,s4422,s7847,s7846,s7844,s7840,s113,s37,s4585,s3207,s419,s5193,s7835,s7836]) ).
cnf(s7849,plain,
( ~ spl2_2
| ~ spl2_43 ),
inference(rat,[],[s3224,s39,s7848,s7835,s420]) ).
cnf(s7850,plain,
~ spl2_2,
inference(rat,[],[s7849,s4585]) ).
cnf(s7851,plain,
spl2_1,
inference(rat,[],[s33,s7850]) ).
cnf(s7852,plain,
spl2_13,
inference(rat,[],[s137,s7851]) ).
cnf(s7853,plain,
( ~ spl2_227
| ~ spl2_386
| ~ spl2_140
| ~ spl2_73
| ~ spl2_183
| ~ spl2_547
| ~ spl2_164
| spl2_188
| spl2_22 ),
inference(rat,[],[s3285,s2023,s502,s1569,s501,s1554,s3289,s1103]) ).
cnf(s7854,plain,
( ~ spl2_700
| spl2_787
| ~ spl2_240
| ~ spl2_163
| ~ spl2_57
| ~ spl2_183
| spl2_205 ),
inference(rat,[],[s4526,s6647,s6085,s2291,s6125]) ).
cnf(s7855,plain,
( ~ spl2_694
| ~ spl2_527
| ~ spl2_502
| spl2_226
| ~ spl2_234
| spl2_204 ),
inference(rat,[],[s6122,s4536,s5081]) ).
cnf(s7856,plain,
( spl2_513
| ~ spl2_240
| ~ spl2_472
| spl2_154
| ~ spl2_179
| spl2_166
| spl2_226
| spl2_185
| spl2_204
| ~ spl2_57
| ~ spl2_183
| ~ spl2_368
| ~ spl2_175
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_21 ),
inference(rat,[],[s2849,s7854,s2291,s5647,s7281,s7855,s6612,s5498,s7570,s5344,s6120,s7280,s4503,s1289,s1351,s5475,s7189,s6851,s2071,s4956,s2182,s7272,s601,s377,s410,s7851]) ).
cnf(s7857,plain,
( spl2_482
| spl2_211
| spl2_204
| spl2_186
| spl2_244
| ~ spl2_183
| ~ spl2_221
| ~ spl2_368
| ~ spl2_175
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s1296,s6138,s2825,s5652,s7856,s7542,s6198,s2133,s7282,s1329,s1101,s5324,s1554,s1604,s4858,s500,s1616,s2134,s7272,s4629,s603,s4807,s4827,s7005,s4699,s1463,s6319,s56,s37,s7851]) ).
cnf(s7858,plain,
( spl2_513
| ~ spl2_472
| spl2_154
| ~ spl2_77
| ~ spl2_139
| spl2_161 ),
inference(rat,[],[s2066,s4956,s6840,s2182]) ).
cnf(s7859,plain,
( ~ spl2_164
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s1296,s6138,s2825,s5652,s7858,s6198,s943,s413,s1617,s7394,s3804,s1587,s3285,s4151,s4758,s7857,s1316,s4838,s7853,s2681,s2754,s965,s3872,s5649,s7502,s4827,s248,s247,s603,s102,s7005,s4629,s2654,s3790,s4807,s5199,s1127,s120,s4699,s4798,s4494,s994,s1463,s3084,s5097,s7515,s3210,s6998,s37,s7047,s6319,s56,s4447,s7004,s3255,s7677,s7272,s7851]) ).
cnf(s7860,plain,
( ~ spl2_264
| ~ spl2_500
| ~ spl2_57
| ~ spl2_73
| ~ spl2_221
| ~ spl2_175
| spl2_164
| ~ spl2_192
| ~ spl2_43
| spl2_188
| spl2_161
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s3288,s5187,s1207,s2071,s4956,s6198,s5467,s3908,s410,s7282,s2133,s1361,s5324,s4858,s500,s7383,s2134,s1444,s4151,s3747,s1316,s3255,s5199,s623,s378,s7851]) ).
cnf(s7861,plain,
( spl2_154
| spl2_243
| ~ spl2_86
| ~ spl2_57
| ~ spl2_186
| spl2_188
| spl2_22
| ~ spl2_51 ),
inference(rat,[],[s5553,s3285,s6198,s7488,s943,s3908,s7851]) ).
cnf(s7862,plain,
( spl2_264
| ~ spl2_86
| ~ spl2_57
| ~ spl2_547
| spl2_371
| ~ spl2_206
| ~ spl2_186
| spl2_188
| spl2_22
| ~ spl2_51 ),
inference(rat,[],[s2023,s7383,s4153,s5467,s7279,s7282,s5156,s7861,s1105,s7024,s1858,s977]) ).
cnf(s7863,plain,
( ~ spl2_221
| spl2_499
| ~ spl2_175
| spl2_371
| spl2_164
| ~ spl2_192
| ~ spl2_43
| spl2_188
| spl2_161
| ~ spl2_21
| spl2_9
| ~ spl2_40 ),
inference(rat,[],[s2829,s5307,s5187,s4202,s7383,s6157,s2182,s1616,s1444,s7860,s4151,s3747,s7862,s7502,s4827,s7255,s102,s7005,s4629,s3790,s120,s4699,s994,s56,s3255,s5199,s623,s1463,s378]) ).
cnf(s7864,plain,
( spl2_511
| ~ spl2_231
| spl2_154
| spl2_185
| ~ spl2_175
| ~ spl2_192
| spl2_205
| spl2_161 ),
inference(rat,[],[s3283,s1289,s3491,s7189,s2071,s5503,s3255,s410,s7851]) ).
cnf(s7865,plain,
( ~ spl2_264
| ~ spl2_57
| ~ spl2_58
| ~ spl2_73
| spl2_499
| ~ spl2_175
| spl2_371
| spl2_164
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s5187,s2825,s6157,s2182,s4956,s7864,s6198,s5159,s3908,s2133,s5324,s5308,s500,s7383,s3285,s1616,s2134,s1444,s4151,s3747,s1316,s3255,s7272,s5199,s623,s378,s7851]) ).
cnf(s7866,plain,
( spl2_70
| ~ spl2_611
| spl2_499
| ~ spl2_175
| spl2_371
| spl2_164
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_21
| spl2_9
| ~ spl2_40 ),
inference(rat,[],[s3908,s6198,s500,s5156,s2857,s2136,s102,s3289,s7502,s7540,s7862,s1858,s7865,s4827,s7255,s7005,s4629,s3790,s56,s3255,s5199,s623,s1463,s1131,s7863,s7272,s7851]) ).
cnf(s7867,plain,
( spl2_371
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s3512,s6323,s6149,s6092,s6070,s4236,s4153,s601,s3908,s2033,s5156,s3289,s7540,s7024,s1858,s4308,s3747,s2922,s1444,s939,s6646,s7383,s4328,s5423,s6859,s58,s5034,s7866,s3016,s7062,s1131,s7863,s378,s1269,s2678,s6179,s153,s4977,s3631,s113,s37,s3255,s7677,s7272,s4494,s5199,s623,s7859,s6319,s56,s7851]) ).
cnf(s7868,plain,
( ~ spl2_264
| ~ spl2_57
| spl2_175
| ~ spl2_77
| ~ spl2_371
| spl2_388
| spl2_22
| ~ spl2_1044
| ~ spl2_21 ),
inference(rat,[],[s5216,s5684,s413,s321,s1312,s1316,s980,s7851]) ).
cnf(s7869,plain,
( spl2_154
| ~ spl2_115
| ~ spl2_57
| spl2_175
| ~ spl2_186
| spl2_22
| ~ spl2_51 ),
inference(rat,[],[s5759,s5553,s377,s499,s321,s3908,s7851]) ).
cnf(s7870,plain,
( spl2_504
| ~ spl2_190
| ~ spl2_544
| ~ spl2_139
| ~ spl2_227
| spl2_175
| ~ spl2_186
| spl2_388
| spl2_188
| spl2_161 ),
inference(rat,[],[s2302,s5503,s6277,s4988,s2061,s2063]) ).
cnf(s7871,plain,
( ~ spl2_504
| ~ spl2_191
| ~ spl2_360
| ~ spl2_77
| spl2_205
| ~ spl2_1044
| ~ spl2_21 ),
inference(rat,[],[s4788,s2557,s4574,s4471,s6840]) ).
cnf(s7872,plain,
( ~ spl2_700
| ~ spl2_231
| ~ spl2_211
| ~ spl2_544
| spl2_204
| spl2_264
| ~ spl2_57
| ~ spl2_186
| spl2_205 ),
inference(rat,[],[s5635,s6646,s6125,s3001,s2256,s5586]) ).
cnf(s7873,plain,
( spl2_70
| spl2_499
| spl2_204
| ~ spl2_57
| spl2_175
| ~ spl2_77
| ~ spl2_371
| ~ spl2_206
| ~ spl2_186
| spl2_388
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5635,s6150,s6646,s6647,s2851,s7587,s7375,s6517,s7231,s7872,s2738,s6317,s7410,s6809,s3285,s4957,s586,s6278,s7870,s6157,s2061,s2063,s7871,s5684,s1810,s1660,s5216,s7486,s7279,s4472,s413,s5156,s7869,s7255,s247,s2615,s174,s3790,s113,s37,s7272,s28,s6896,s7047,s102,s4884,s5649,s977,s5656,s7868,s3255,s4447,s7004,s6319,s56,s7851]) ).
cnf(s7874,plain,
( spl2_154
| spl2_1052
| spl2_493
| ~ spl2_57
| spl2_175
| ~ spl2_186
| ~ spl2_43
| spl2_188
| spl2_22
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s601,s4236,s6259,s5759,s4448,s5553,s377,s4868,s321,s3908,s7851]) ).
cnf(s7875,plain,
( ~ spl2_57
| ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5272,s4448,s4153,s1810,s5216,s7279,s4472,s413,s5156,s7874,s7873,s1269,s2678,s153,s7024,s5651,s4306,s4308,s7868,s4447,s7004,s7272,s4830,s5199,s623,s378,s7859,s28,s6896,s1332,s7867,s7047,s6319,s56,s3255,s7677,s7851]) ).
cnf(s7876,plain,
( spl2_176
| ~ spl2_70
| ~ spl2_50
| spl2_175
| ~ spl2_77
| ~ spl2_206
| spl2_188
| spl2_22
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s5272,s4448,s4153,s6342,s5216,s7279,s413,s5156,s4458,s321,s3285,s427,s7851]) ).
cnf(s7877,plain,
( spl2_513
| spl2_579
| ~ spl2_177
| ~ spl2_77
| ~ spl2_186
| spl2_188 ),
inference(rat,[],[s2073,s6856,s6840,s7851]) ).
cnf(s7878,plain,
( spl2_154
| spl2_752
| spl2_1052
| spl2_493
| spl2_175
| ~ spl2_77
| ~ spl2_186
| ~ spl2_43
| spl2_205
| spl2_22
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s4788,s4574,s6097,s7877,s1530,s1567,s6645,s4236,s4153,s601,s6259,s4448,s377,s4868,s316,s3908,s7272,s427,s7851]) ).
cnf(s7879,plain,
( ~ spl2_192
| ~ spl2_43
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5272,s4448,s4153,s6342,s5216,s7279,s413,s5156,s7878,s7024,s5651,s4308,s980,s1312,s7876,s7005,s4827,s58,s7875,s378,s1332,s7867,s5199,s623,s7859,s4830,s113,s37,s6319,s56,s4447,s7004,s3255,s7677,s7272,s7851]) ).
cnf(s7880,plain,
( ~ spl2_57
| spl2_166
| spl2_154
| spl2_18
| spl2_77
| spl2_472
| ~ spl2_43 ),
inference(rat,[],[s493,s2615,s6198,s5034]) ).
cnf(s7881,plain,
( spl2_513
| spl2_166
| spl2_154
| spl2_502
| spl2_527
| ~ spl2_139
| ~ spl2_43
| spl2_205 ),
inference(rat,[],[s1480,s6612,s2736,s2182]) ).
cnf(s7882,plain,
( ~ spl2_513
| spl2_541
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s4788,s4574,s6097,s7851]) ).
cnf(s7883,plain,
( spl2_154
| spl2_502
| spl2_513
| spl2_527
| ~ spl2_139
| ~ spl2_43
| spl2_205
| ~ spl2_51 ),
inference(rat,[],[s7881,s3908,s7851]) ).
cnf(s7884,plain,
( ~ spl2_175
| spl2_513
| ~ spl2_492
| spl2_211
| ~ spl2_176
| ~ spl2_139
| ~ spl2_43
| spl2_205
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s5216,s5684,s6199,s7883,s5121,s939,s5122]) ).
cnf(s7885,plain,
( spl2_154
| spl2_175
| spl2_513
| spl2_527
| ~ spl2_492
| ~ spl2_186
| ~ spl2_139
| ~ spl2_43
| spl2_205
| spl2_22
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s6851,s6104,s6277,s7389,s4503,s5580,s377,s7883,s316,s3908,s6319,s7851]) ).
cnf(s7886,plain,
( spl2_371
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2063,s6349,s4788,s7154,s7779,s5503,s6645,s7389,s6612,s377,s928,s5216,s4406,s5324,s5684,s2133,s7885,s6179,s7884,s2182,s7882,s2401,s5122,s3283,s569,s7383,s3967,s623,s6142,s5474,s2754,s4977,s6527,s113,s37,s6319,s4447,s7004,s3255,s7272,s562,s6788,s56,s247,s3791,s7851]) ).
cnf(s7887,plain,
( ~ spl2_164
| ~ spl2_234
| ~ spl2_176
| ~ spl2_163
| spl2_240
| ~ spl2_175
| ~ spl2_371
| spl2_188
| spl2_22
| ~ spl2_1044
| ~ spl2_21
| spl2_9 ),
inference(rat,[],[s980,s4308,s1312,s4236,s5580,s1554,s3289,s4798,s2970,s5097]) ).
cnf(s7888,plain,
( ~ spl2_179
| spl2_513
| ~ spl2_176
| ~ spl2_151
| ~ spl2_175
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_22
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s7884,s3283,s569,s3967,s4834,s5468,s247,s3791,s7162]) ).
cnf(s7889,plain,
( spl2_513
| ~ spl2_176
| spl2_154
| ~ spl2_175
| ~ spl2_371
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_22
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5344,s4313,s4812,s3288,s7280,s5133,s6856,s6218,s6612,s1530,s6645,s4153,s4868,s7024,s5651,s980,s1312,s5580,s3289,s7888,s2182,s623,s4407,s4494,s5484,s7887,s601,s3175,s939,s377,s3908,s7162,s410,s7272,s4447,s7004,s6319,s56,s7851]) ).
cnf(s7890,plain,
( ~ spl2_191
| ~ spl2_490
| spl2_502
| ~ spl2_541
| spl2_510
| ~ spl2_513
| spl2_472
| spl2_185
| ~ spl2_163
| ~ spl2_51
| ~ spl2_40 ),
inference(rat,[],[s1773,s1827,s4796,s2727,s7306,s7005,s4827,s58,s5759,s113]) ).
cnf(s7891,plain,
( ~ spl2_176
| spl2_154
| ~ spl2_175
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2401,s5500,s3283,s1472,s5344,s1445,s2119,s3207,s2615,s7680,s493,s1371,s6138,s7890,s3288,s4503,s5187,s2914,s7882,s3882,s4574,s5652,s6097,s4211,s7889,s5553,s5484,s623,s7887,s601,s3175,s939,s37,s6319,s4447,s7004,s3255,s7272,s562,s7886,s7162,s410,s377,s3908,s56,s7851]) ).
cnf(s7892,plain,
( spl2_513
| ~ spl2_164
| ~ spl2_77
| ~ spl2_163
| spl2_154
| ~ spl2_371
| ~ spl2_139
| ~ spl2_233
| spl2_205
| spl2_22 ),
inference(rat,[],[s6229,s3288,s1246,s1470,s1480,s5196,s6840]) ).
cnf(s7893,plain,
( spl2_154
| ~ spl2_175
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2401,s1869,s7882,s7532,s7892,s378,s4151,s5651,s976,s4868,s4406,s4448,s3175,s2134,s7390,s5661,s7891,s4202,s377,s1623,s3908,s7047,s6319,s56,s4447,s7004,s3255,s7272,s562,s247,s3791,s7886,s7851]) ).
cnf(s7894,plain,
( spl2_185
| spl2_219
| ~ spl2_183
| spl2_494
| ~ spl2_233
| spl2_188
| spl2_22 ),
inference(rat,[],[s1554,s3289,s4229,s5470,s601]) ).
cnf(s7895,plain,
( spl2_264
| ~ spl2_183
| spl2_361
| ~ spl2_164
| ~ spl2_180
| spl2_188 ),
inference(rat,[],[s1554,s7279,s1569,s1456,s977]) ).
cnf(s7896,plain,
( ~ spl2_164
| spl2_494
| ~ spl2_549
| spl2_176
| spl2_77
| ~ spl2_175
| ~ spl2_43
| spl2_188
| spl2_22
| ~ spl2_1044
| ~ spl2_21 ),
inference(rat,[],[s1554,s3289,s4229,s2975,s601,s2134,s4151,s7895,s4798,s1587,s5097,s3285]) ).
cnf(s7897,plain,
( spl2_166
| ~ spl2_154
| ~ spl2_175
| spl2_192
| ~ spl2_43
| spl2_188
| spl2_22
| ~ spl2_1044
| ~ spl2_21 ),
inference(rat,[],[s2981,s7279,s7174,s5156,s4494,s5484,s7896,s3112,s3285,s7498,s4406,s939,s4448,s6199,s413]) ).
cnf(s7898,plain,
( ~ spl2_175
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s569,s7498,s5500,s6211,s4798,s5649,s4827,s7005,s2654,s6185,s5684,s4448,s6514,s5216,s7486,s7897,s7893,s37,s6319,s56,s4447,s7004,s3255,s7272,s7886,s7851]) ).
cnf(s7899,plain,
( spl2_154
| spl2_175
| ~ spl2_371
| ~ spl2_139
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4788,s4680,s2063,s3288,s6856,s7882,s1530,s1567,s6645,s4236,s4153,s601,s6179,s3175,s4989,s4448,s4868,s7024,s5651,s4308,s980,s1312,s5580,s7277,s377,s316,s321,s3908,s6319,s4447,s7004,s3255,s7272,s623,s3210,s56,s7851]) ).
cnf(s7900,plain,
( ~ spl2_264
| spl2_77
| ~ spl2_163
| ~ spl2_176
| spl2_175
| ~ spl2_371
| spl2_192
| ~ spl2_43
| spl2_188 ),
inference(rat,[],[s4250,s5580,s2134,s1312,s4151,s980]) ).
cnf(s7901,plain,
( ~ spl2_191
| spl2_264
| spl2_166
| spl2_472
| ~ spl2_154
| spl2_175
| ~ spl2_139
| ~ spl2_43
| spl2_205
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s2063,s6856,s2736,s7882,s1530,s3844,s1567,s6645,s7279,s4393,s4500,s58,s6198,s7272,s623,s3210,s4448,s6199,s7851]) ).
cnf(s7902,plain,
( ~ spl2_504
| spl2_513
| ~ spl2_544
| ~ spl2_212
| ~ spl2_43
| spl2_161
| ~ spl2_21 ),
inference(rat,[],[s3445,s4450,s5503,s4503,s3880,s5475,s4406,s4448]) ).
cnf(s7903,plain,
( ~ spl2_492
| spl2_183
| ~ spl2_221
| ~ spl2_544
| ~ spl2_383
| ~ spl2_163
| ~ spl2_176
| spl2_161
| ~ spl2_1044 ),
inference(rat,[],[s7779,s6317,s5122]) ).
cnf(s7904,plain,
( spl2_178
| spl2_191
| spl2_264
| ~ spl2_212
| spl2_166
| ~ spl2_176
| spl2_175
| ~ spl2_371
| ~ spl2_139
| ~ spl2_43
| spl2_188
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s3882,s1418,s7902,s3880,s2061,s7903,s5649,s7250,s2859,s4500,s2738,s7472,s4393,s6318,s7279,s7282,s3255,s377,s4406,s4448]) ).
cnf(s7905,plain,
( ~ spl2_504
| spl2_513
| ~ spl2_212
| ~ spl2_154
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_21 ),
inference(rat,[],[s3844,s6645,s5475,s7902]) ).
cnf(s7906,plain,
( spl2_513
| spl2_388
| ~ spl2_227
| ~ spl2_190
| ~ spl2_212
| ~ spl2_163
| ~ spl2_154
| ~ spl2_186
| spl2_175
| ~ spl2_371
| ~ spl2_139
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_21 ),
inference(rat,[],[s1246,s6645,s6278,s7870,s2063,s7905,s2182,s7272]) ).
cnf(s7907,plain,
( spl2_166
| ~ spl2_176
| ~ spl2_154
| spl2_175
| ~ spl2_371
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51
| ~ spl2_20 ),
inference(rat,[],[s5503,s1798,s3880,s4576,s6097,s7906,s5580,s7904,s7901,s977,s7900,s7277,s6199,s413,s377,s7272,s247,s3791,s5553,s623,s3210,s7851]) ).
cnf(s7908,plain,
( ~ spl2_176
| spl2_192
| ~ spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s586,s4989,s5399,s6806,s2654,s6185,s4448,s6514,s5216,s7486,s7907,s113,s37,s6319,s56,s4447,s7004,s7899,s7898,s7886,s247,s3791,s7851]) ).
cnf(s7909,plain,
( spl2_513
| spl2_166
| ~ spl2_180
| ~ spl2_154
| spl2_175
| ~ spl2_371
| ~ spl2_139
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51
| ~ spl2_20 ),
inference(rat,[],[s5390,s6349,s6724,s2401,s7901,s2738,s4151,s7174,s4501,s6124,s2134,s2981,s4393,s2202,s7195,s6644,s6645,s4957,s1246,s6278,s2157,s2061,s2063,s1213,s7905,s2182,s7272,s377,s413,s4406,s4448,s6199]) ).
cnf(s7910,plain,
( ~ spl2_544
| spl2_860
| spl2_77
| spl2_752
| ~ spl2_43 ),
inference(rat,[],[s4151,s2134,s7472,s4153]) ).
cnf(s7911,plain,
( spl2_166
| ~ spl2_180
| ~ spl2_154
| spl2_175
| ~ spl2_371
| ~ spl2_139
| ~ spl2_43
| spl2_205
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_51
| ~ spl2_20 ),
inference(rat,[],[s3283,s2401,s3491,s6109,s6321,s928,s1567,s6645,s7910,s2859,s1418,s5503,s3880,s7882,s3882,s6097,s7909,s6199,s413,s3255,s4458,s427,s7851]) ).
cnf(s7912,plain,
( spl2_503
| spl2_1058
| spl2_204
| ~ spl2_211
| spl2_205 ),
inference(rat,[],[s1232,s6784,s7239]) ).
cnf(s7913,plain,
( ~ spl2_502
| spl2_513
| spl2_204
| ~ spl2_25
| ~ spl2_211
| ~ spl2_180
| ~ spl2_154
| spl2_164
| ~ spl2_371
| ~ spl2_43
| spl2_205
| spl2_22
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s3283,s6218,s4760,s4560,s5342,s6104,s4313,s3288,s6229,s4957,s7912,s6644,s6381,s3844,s4503,s2182]) ).
cnf(s7914,plain,
( spl2_221
| spl2_787
| spl2_700
| ~ spl2_186
| ~ spl2_371
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6150,s5635,s6647,s6646,s7375,s7587,s2738,s7231]) ).
cnf(s7915,plain,
( spl2_513
| ~ spl2_221
| spl2_183
| spl2_204
| spl2_70
| ~ spl2_211
| ~ spl2_180
| ~ spl2_154
| spl2_164
| spl2_175
| ~ spl2_371
| ~ spl2_139
| ~ spl2_43
| spl2_205
| spl2_22
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s6317,s6809,s2061,s3208,s2736,s7913,s7272,s2654]) ).
cnf(s7916,plain,
( ~ spl2_43
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s1567,s5498,s7882,s6722,s7915,s7914,s2851,s6517,s7872,s1316,s5649,s2683,s7410,s4827,s603,s3999,s1660,s7005,s570,s6259,s6185,s5684,s4448,s4153,s6514,s5216,s1327,s7486,s7911,s4458,s3285,s7908,s7899,s623,s3210,s427,s7898,s7886,s247,s3791,s7879,s113,s37,s3128,s6319,s56,s4447,s7004,s3255,s7677,s7851]) ).
cnf(s7917,plain,
( ~ spl2_191
| spl2_513
| spl2_472
| spl2_212
| ~ spl2_176
| spl2_184
| ~ spl2_192
| spl2_371
| spl2_166
| spl2_154
| ~ spl2_70
| spl2_205
| spl2_22 ),
inference(rat,[],[s5122,s7389,s3283,s7189,s3967,s4558,s5423,s7625,s6859,s58,s6198,s5272,s7272,s377,s2182]) ).
cnf(s7918,plain,
( ~ spl2_491
| ~ spl2_504
| ~ spl2_1040
| spl2_184
| spl2_371
| spl2_22
| ~ spl2_21 ),
inference(rat,[],[s4529,s7250,s4788,s6859,s4812,s2919,s5423,s5344,s3967,s3872,s4407]) ).
cnf(s7919,plain,
( ~ spl2_504
| ~ spl2_1040
| spl2_185
| spl2_513
| ~ spl2_176
| spl2_184
| ~ spl2_192
| spl2_371
| ~ spl2_163
| spl2_154
| ~ spl2_175
| spl2_205
| spl2_22
| ~ spl2_21 ),
inference(rat,[],[s7189,s7389,s1289,s5122,s3283,s7918]) ).
cnf(s7920,plain,
( spl2_513
| ~ spl2_176
| ~ spl2_186
| ~ spl2_192
| spl2_371
| spl2_166
| spl2_154
| ~ spl2_175
| ~ spl2_139
| ~ spl2_70
| ~ spl2_248
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s5344,s7280,s2919,s5122,s1253,s6612,s1246,s2066,s1480,s7919,s4313,s3288,s1272,s2760,s980,s1718,s2033,s3289,s6318,s7917,s2182,s3255,s7272,s377,s3872,s4798,s4805,s2738,s4699,s1463,s939,s5553]) ).
cnf(s7921,plain,
( ~ spl2_513
| ~ spl2_70
| ~ spl2_16
| ~ spl2_1044
| ~ spl2_21
| spl2_9 ),
inference(rat,[],[s3207,s6137,s7882,s56]) ).
cnf(s7923,plain,
( ~ spl2_1049
| ~ spl2_1142
| spl2_154 ),
inference(rat,[],[s6990,s7851]) ).
cnf(s7926,plain,
( spl2_21
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s6319,s7851]) ).
cnf(s7927,plain,
( ~ spl2_513
| spl2_504
| ~ spl2_51 ),
inference(rat,[],[s6097,s7851]) ).
cnf(s7928,plain,
( ~ spl2_691
| ~ spl2_1049
| spl2_175 ),
inference(rat,[],[s4985,s7851]) ).
cnf(s7929,plain,
( ~ spl2_698
| ~ spl2_1049
| spl2_504 ),
inference(rat,[],[s4784,s7851]) ).
cnf(s7931,plain,
( spl2_154
| ~ spl2_166
| ~ spl2_51 ),
inference(rat,[],[s3908,s7851]) ).
cnf(s7937,plain,
( spl2_175
| ~ spl2_164
| ~ spl2_51 ),
inference(rat,[],[s3210,s7851]) ).
cnf(s7938,plain,
( spl2_702
| ~ spl2_787
| ~ spl2_51 ),
inference(rat,[],[s3138,s7851]) ).
cnf(s7939,plain,
( spl2_9
| spl2_59 ),
inference(rat,[],[s3119,s7851]) ).
cnf(s7943,plain,
( spl2_21
| spl2_26 ),
inference(rat,[],[s2566,s7851]) ).
cnf(s7948,plain,
( spl2_21
| spl2_26 ),
inference(rat,[],[s2415,s7851]) ).
cnf(s7952,plain,
( ~ spl2_49
| spl2_221
| spl2_161
| spl2_175 ),
inference(rat,[],[s2308,s7851]) ).
cnf(s7953,plain,
( ~ spl2_693
| spl2_702
| spl2_504 ),
inference(rat,[],[s2225,s7851]) ).
cnf(s7956,plain,
( spl2_175
| spl2_213 ),
inference(rat,[],[s2143,s7851]) ).
cnf(s7960,plain,
( spl2_504
| ~ spl2_177
| spl2_188
| spl2_489 ),
inference(rat,[],[s2073,s7851]) ).
cnf(s7961,plain,
( spl2_511
| spl2_504
| spl2_161
| ~ spl2_151 ),
inference(rat,[],[s2071,s7851]) ).
cnf(s7964,plain,
( spl2_492
| ~ spl2_559
| spl2_188
| spl2_175 ),
inference(rat,[],[s2040,s7851]) ).
cnf(s7965,plain,
( spl2_526
| ~ spl2_559
| spl2_161
| spl2_154 ),
inference(rat,[],[s2011,s7851]) ).
cnf(s7973,plain,
( spl2_507
| spl2_502
| ~ spl2_43
| ~ spl2_500 ),
inference(rat,[],[s1493,s7851]) ).
cnf(s7978,plain,
( spl2_504
| spl2_507 ),
inference(rat,[],[s1205,s7851]) ).
cnf(s7982,plain,
( spl2_391
| spl2_212
| ~ spl2_43
| ~ spl2_261 ),
inference(rat,[],[s1016,s7852]) ).
cnf(s7993,plain,
( spl2_154
| spl2_207
| ~ spl2_205 ),
inference(rat,[],[s391,s7851]) ).
cnf(s8002,plain,
( ~ spl2_176
| ~ spl2_7
| ~ spl2_186
| ~ spl2_9
| spl2_198 ),
inference(rat,[],[s339,s7851]) ).
cnf(s8003,plain,
( ~ spl2_100
| ~ spl2_7
| spl2_197
| ~ spl2_9
| ~ spl2_176
| ~ spl2_186 ),
inference(rat,[],[s337,s7851]) ).
cnf(s8005,plain,
( spl2_154
| spl2_176
| spl2_22
| spl2_175 ),
inference(rat,[],[s321,s7851]) ).
cnf(s8007,plain,
( spl2_154
| spl2_178
| spl2_22
| spl2_175 ),
inference(rat,[],[s316,s7851]) ).
cnf(s8008,plain,
( ~ spl2_151
| spl2_176
| spl2_22
| spl2_175 ),
inference(rat,[],[s314,s7851]) ).
cnf(s8047,plain,
( ~ spl2_192
| spl2_371
| spl2_166
| spl2_154
| ~ spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| ~ spl2_248
| spl2_205
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s4956,s7864,s6198,s5272,s58,s4448,s6859,s4868,s926,s5423,s5694,s6109,s7390,s7383,s3285,s7920,s623,s5097,s4407,s4699,s4798,s1463,s4805,s3255,s7272,s2182]) ).
cnf(s8048,plain,
( ~ spl2_700
| spl2_185
| ~ spl2_191
| spl2_715
| spl2_804
| spl2_508
| ~ spl2_70 ),
inference(rat,[],[s7030,s5781,s5345,s6092]) ).
cnf(s8049,plain,
( spl2_371
| spl2_154
| ~ spl2_175
| spl2_508
| ~ spl2_70
| spl2_43
| spl2_205
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| spl2_9
| ~ spl2_20 ),
inference(rat,[],[s7281,s7129,s5647,s6323,s8048,s58,s6198,s5272,s6724,s5390,s4796,s6102,s6120,s6957,s4788,s6644,s2066,s6851,s6612,s7389,s2401,s5121,s5122,s5041,s2285,s2922,s3283,s6646,s5553,s939,s3967,s4328,s7498,s5500,s5474,s7183,s8047,s7237,s3255,s7272,s3209,s247,s34,s2182,s7921,s3220,s410,s377,s7931,s56]) ).
cnf(s8050,plain,
( ~ spl2_264
| ~ spl2_176
| ~ spl2_186
| spl2_221
| ~ spl2_371
| ~ spl2_163
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s4503,s4796,s6104,s6099,s1253,s1246,s6850,s1229,s4119,s4834,s7381,s7331,s4313,s7282,s3288,s5580,s1272,s1312,s2760,s980,s113,s37,s3255,s7272,s2738,s1122]) ).
cnf(s8051,plain,
( ~ spl2_176
| ~ spl2_186
| ~ spl2_192
| ~ spl2_371
| ~ spl2_163
| spl2_154
| ~ spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_248
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s7282,s6318,s2033,s5272,s1718,s8050,s939,s113,s37,s7272,s2738,s4699,s1463]) ).
cnf(s8052,plain,
( ~ spl2_192
| ~ spl2_371
| spl2_154
| ~ spl2_175
| spl2_499
| ~ spl2_139
| ~ spl2_248
| ~ spl2_16
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s8048,s7686,s4978,s4030,s6502,s7278,s4351,s6099,s2085,s4560,s4558,s1246,s6856,s6278,s3288,s5608,s4812,s58,s5133,s6198,s7389,s4956,s7864,s5272,s4448,s4868,s926,s5423,s5694,s6109,s7390,s7383,s3285,s8051,s623,s5097,s4407,s4699,s4798,s1463,s4805,s113,s37,s3255,s7272,s2182,s5047,s7921,s7037,s4447,s7004,s7926,s377,s7931,s56]) ).
cnf(s8053,plain,
( ~ spl2_264
| ~ spl2_176
| spl2_164
| ~ spl2_186
| spl2_192
| ~ spl2_371
| ~ spl2_163
| spl2_154
| spl2_513
| ~ spl2_139
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s4788,s6104,s2066,s4560,s7389,s2401,s6218,s5122,s3283,s3967,s5468,s4313,s7282,s3288,s5580,s1272,s1312,s8050,s2760,s980,s3255,s7272,s2182,s410]) ).
cnf(s8054,plain,
( ~ spl2_568
| ~ spl2_504
| ~ spl2_540
| ~ spl2_233
| ~ spl2_70
| ~ spl2_21 ),
inference(rat,[],[s3207,s4788,s2119,s4812]) ).
cnf(s8055,plain,
( spl2_511
| spl2_568
| ~ spl2_235
| spl2_164
| ~ spl2_371
| ~ spl2_175
| ~ spl2_500
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s6099,s4560,s4796,s6218,s5121,s3283,s5344,s7154,s6851,s5503,s3255]) ).
cnf(s8056,plain,
( spl2_568
| ~ spl2_235
| ~ spl2_176
| spl2_164
| ~ spl2_371
| ~ spl2_163
| ~ spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s3967,s5608,s7280,s3288,s5122,s4988,s7389,s8055,s3255,s7272,s2182,s7277]) ).
cnf(s8057,plain,
( ~ spl2_176
| spl2_164
| ~ spl2_186
| spl2_192
| ~ spl2_371
| ~ spl2_163
| spl2_154
| ~ spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| ~ spl2_248
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s4005,s2066,s4503,s8054,s2119,s4812,s8056,s4407,s926,s4989,s5272,s2134,s4868,s1718,s5651,s8053,s7277,s939,s113,s37,s3255,s562]) ).
cnf(s8058,plain,
( spl2_511
| ~ spl2_235
| ~ spl2_231
| spl2_164
| ~ spl2_233
| ~ spl2_371
| ~ spl2_175
| ~ spl2_500
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s5121,s3283,s4796,s2119,s3491,s7154,s8055,s5503,s3255]) ).
cnf(s8059,plain,
( ~ spl2_511
| ~ spl2_190
| ~ spl2_482
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_233
| ~ spl2_163
| spl2_154
| ~ spl2_175
| spl2_188
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s5651,s4868,s980,s4989,s1253,s4407,s6104,s4812,s4503,s1246,s5498,s5342,s4760,s7280,s5121,s4005,s2119,s5608,s4313,s3288,s4988,s3255]) ).
cnf(s8060,plain,
( spl2_154
| ~ spl2_175
| spl2_499
| spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4406,s976,s4448,s4858,s5272,s926,s8058,s8059,s7388,s1361,s3289,s2134,s5468,s7390,s5662,s7383,s3285,s8057,s7160,s7183,s562,s8052,s8049,s377,s7931,s410,s113,s37,s3255,s7272,s3209,s247,s34,s2182,s5047,s7921,s7037,s3220,s4447,s7004,s7926,s56]) ).
cnf(s8061,plain,
( spl2_212
| ~ spl2_225
| ~ spl2_192
| ~ spl2_154
| ~ spl2_70
| spl2_188
| ~ spl2_20 ),
inference(rat,[],[s6318,s7282,s6185,s2041]) ).
cnf(s8062,plain,
( ~ spl2_700
| spl2_719
| ~ spl2_57
| spl2_715
| spl2_712
| ~ spl2_70
| ~ spl2_1013 ),
inference(rat,[],[s5345,s6166]) ).
cnf(s8063,plain,
( ~ spl2_192
| spl2_712
| spl2_204
| spl2_371
| ~ spl2_154
| ~ spl2_175
| ~ spl2_70
| ~ spl2_1013
| spl2_188
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s3512,s2851,s7772,s6517,s7231,s8062,s6085,s6088,s58,s6070,s6859,s3289,s7777,s2981,s5423,s5467,s4501,s5694,s377,s7174,s7383,s3285,s5216,s4406,s939,s4448,s8061,s2738,s4407,s4699,s4798,s1463,s4805,s113,s37,s7926,s56,s4447,s7004,s3255,s6807]) ).
cnf(s8064,plain,
( spl2_700
| spl2_804
| spl2_191
| ~ spl2_8
| spl2_204
| ~ spl2_28 ),
inference(rat,[],[s3512,s2851,s7768,s6517,s7231,s113,s37]) ).
cnf(s8065,plain,
( spl2_371
| ~ spl2_175
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2238,s7281,s5345,s6101,s8064,s1445,s4796,s5390,s4788,s6724,s7779,s6644,s6645,s377,s6612,s5216,s4406,s2401,s5121,s5122,s5041,s2922,s3060,s5324,s5684,s3283,s6646,s569,s3967,s4328,s7498,s5500,s5474,s8063,s6807,s2716,s2678,s153,s7237,s3631,s113,s37,s3255,s7272,s6853,s2133,s8060,s1256,s2182,s7921,s7037,s3220,s4447,s7004,s7926,s56,s7916,s7677]) ).
cnf(s8066,plain,
( spl2_700
| ~ spl2_8
| ~ spl2_186
| spl2_221
| ~ spl2_371
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2851,s7914,s6517,s113,s37]) ).
cnf(s8067,plain,
( ~ spl2_192
| ~ spl2_371
| ~ spl2_154
| ~ spl2_175
| spl2_513
| ~ spl2_70
| spl2_205
| spl2_22
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2238,s7281,s5345,s6101,s8066,s1445,s4788,s4796,s4812,s7381,s5608,s6087,s3288,s6070,s7777,s6229,s603,s2664,s1246,s3844,s1567,s570,s849,s6645,s5324,s811,s2981,s6321,s4501,s5694,s377,s7174,s976,s7383,s3285,s5216,s4406,s939,s4448,s8061,s5490,s623,s2738,s5477,s5097,s4407,s4699,s4798,s1463,s4805,s113,s37,s7926,s56,s4447,s7004,s7272,s2133]) ).
cnf(s8068,plain,
( spl2_185
| ~ spl2_568
| spl2_166
| spl2_191
| ~ spl2_176
| spl2_192
| ~ spl2_371
| ~ spl2_500
| ~ spl2_16
| spl2_188
| spl2_161 ),
inference(rat,[],[s5122,s6612,s3283,s5498,s3967,s7570,s5467,s7282,s5580,s1312,s980,s7032,s3125,s3372,s601,s3255,s377]) ).
cnf(s8069,plain,
( ~ spl2_620
| spl2_926
| ~ spl2_503
| ~ spl2_235
| ~ spl2_154
| ~ spl2_70
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s3844,s6645,s4796,s3445,s7154]) ).
cnf(s8070,plain,
( spl2_926
| ~ spl2_482
| ~ spl2_503
| ~ spl2_190
| ~ spl2_235
| ~ spl2_154
| ~ spl2_70
| spl2_205
| spl2_22
| ~ spl2_20 ),
inference(rat,[],[s5342,s6644,s4313,s3844,s3288,s4005,s4988,s6850,s8069]) ).
cnf(s8071,plain,
( spl2_502
| ~ spl2_482
| ~ spl2_503
| ~ spl2_235
| ~ spl2_70
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s7154,s5503,s4796,s4005]) ).
cnf(s8072,plain,
( ~ spl2_176
| ~ spl2_371
| ~ spl2_154
| ~ spl2_175
| ~ spl2_16
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4989,s4406,s4407,s4450,s4812,s4503,s8071,s8070,s2134,s8068,s2119,s8056,s7277,s377,s7486,s6514,s926,s6185,s939,s113,s37,s7272,s2182,s562,s7160,s8067,s7921,s4447,s7004,s7926,s56,s7037,s3255]) ).
cnf(s8073,plain,
( ~ spl2_234
| ~ spl2_163
| ~ spl2_191
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_549
| spl2_192
| ~ spl2_371
| ~ spl2_154
| ~ spl2_175
| spl2_513
| ~ spl2_70
| spl2_205
| spl2_22
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s2119,s4796,s5608,s7381,s3288,s2738,s6229,s4858,s1246,s3844,s1361,s6645,s3289,s2981,s2975,s3125,s562]) ).
cnf(s8074,plain,
( ~ spl2_502
| ~ spl2_568
| ~ spl2_191
| ~ spl2_154
| ~ spl2_175
| spl2_205
| spl2_22
| ~ spl2_21 ),
inference(rat,[],[s1554,s3289,s4798,s7570,s4407,s6644,s4812,s3844,s4503]) ).
cnf(s8075,plain,
( spl2_502
| ~ spl2_503
| ~ spl2_482
| spl2_224
| ~ spl2_191
| spl2_164
| ~ spl2_175
| ~ spl2_500
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s7280,s7380,s6218,s4858,s1530,s1361,s6645,s7279,s4393,s7092,s5390,s5503,s4796,s4005,s7272]) ).
cnf(s8076,plain,
( ~ spl2_503
| ~ spl2_482
| ~ spl2_191
| ~ spl2_1025
| ~ spl2_180
| spl2_164
| ~ spl2_154
| ~ spl2_175
| ~ spl2_500
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s6349,s7386,s7174,s3288,s4557,s2981,s5608,s6644,s6645,s7280,s8074,s3844,s5121,s8075,s3207,s3255,s7272,s4406,s4448,s6185]) ).
cnf(s8077,plain,
( ~ spl2_191
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_549
| spl2_164
| ~ spl2_186
| spl2_192
| ~ spl2_371
| ~ spl2_154
| ~ spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s7912,s7485,s2665,s4560,s1246,s6856,s6278,s3288,s1472,s1445,s8076,s2134,s601,s8073,s377,s5216,s4448,s5324,s6185,s3255,s2182,s2133]) ).
cnf(s8078,plain,
( ~ spl2_526
| ~ spl2_482
| ~ spl2_163
| ~ spl2_235
| ~ spl2_549
| ~ spl2_371
| ~ spl2_154
| spl2_513
| ~ spl2_70
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s1472,s3288,s1445,s6229,s8071,s1246,s3844,s3255]) ).
cnf(s8079,plain,
( ~ spl2_175
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4503,s8071,s4450,s2119,s5342,s5608,s4313,s3288,s1296,s4798,s7174,s4406,s5684,s1232,s5390,s6724,s2981,s6644,s6645,s8078,s2134,s377,s8058,s6175,s7486,s6321,s1659,s6514,s926,s8077,s7383,s3285,s7498,s8072,s7160,s7183,s562,s8067,s8065,s8060,s113,s37,s3255,s7677,s7272,s1256,s2182,s7921,s7037,s3220,s7916,s4447,s7004,s7926,s56]) ).
cnf(s8080,plain,
( spl2_1046
| ~ spl2_1040
| ~ spl2_263
| ~ spl2_1052
| ~ spl2_383
| ~ spl2_163
| spl2_205
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s1246,s1253,s5498,s6850,s5342,s7091,s6104,s4450,s5549]) ).
cnf(s8081,plain,
( spl2_154
| ~ spl2_184
| ~ spl2_192
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| ~ spl2_248
| spl2_205
| spl2_161
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s2094,s7520,s2202,s7189,s4796,s4503,s8080,s7381,s4313,s3288,s1216,s1272,s2760,s980,s1346,s4868,s4406,s4202,s1718,s1770,s4989,s1616,s2134,s1564,s7388,s1362,s4758,s5518,s377,s8007,s8005,s7931,s410,s2766,s113,s37,s3255,s2738,s4947,s4494,s7926]) ).
cnf(s8082,plain,
( ~ spl2_503
| ~ spl2_154
| ~ spl2_225
| ~ spl2_192
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s6645,s3445,s3844,s4450,s5503,s4796,s4788,s3880,s7381,s2063,s3288,s6856,s3207,s4558,s3255,s4406,s4448,s8061,s7272]) ).
cnf(s8083,plain,
( ~ spl2_526
| ~ spl2_211
| ~ spl2_191
| spl2_185
| ~ spl2_176
| spl2_503
| spl2_166
| ~ spl2_212
| spl2_221
| spl2_204
| ~ spl2_184
| ~ spl2_241
| ~ spl2_186
| spl2_175
| spl2_508
| ~ spl2_500
| ~ spl2_139
| spl2_205
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s7382,s4776,s6647,s7281,s5653,s7129,s7649,s6089,s6087,s6088,s6070,s3445,s3288,s4251,s5503,s6349,s1225,s3880,s7386,s6508,s2061,s7280,s5122,s6612,s1567,s3255,s7272,s2117,s427,s2958,s601,s58,s6198,s5553]) ).
cnf(s8084,plain,
( ~ spl2_191
| spl2_185
| ~ spl2_176
| spl2_503
| spl2_166
| ~ spl2_212
| ~ spl2_485
| spl2_221
| spl2_204
| ~ spl2_184
| ~ spl2_241
| ~ spl2_186
| spl2_175
| spl2_508
| ~ spl2_500
| ~ spl2_139
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s1504,s6959,s6964,s6644,s8083,s5324,s601]) ).
cnf(s8085,plain,
( ~ spl2_176
| spl2_503
| spl2_166
| ~ spl2_212
| ~ spl2_485
| spl2_221
| spl2_204
| ~ spl2_184
| ~ spl2_192
| ~ spl2_241
| spl2_164
| spl2_175
| spl2_508
| ~ spl2_500
| ~ spl2_139
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s2063,s3880,s4988,s6850,s7161,s1659,s8084,s2134,s7277,s4758,s3255,s7272,s623,s4494,s377,s1445]) ).
cnf(s8086,plain,
( spl2_787
| ~ spl2_490
| spl2_792
| spl2_1032
| spl2_221
| ~ spl2_186
| ~ spl2_500
| spl2_205 ),
inference(rat,[],[s7382,s4776,s6647,s7281,s5653,s7129,s7272]) ).
cnf(s8087,plain,
( spl2_371
| spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5345,s6517,s4599,s6325,s8086,s3288,s6856,s6089,s6086,s6088,s1530,s6070,s6645,s7279,s4393,s4501,s3285,s8085,s8082,s5216,s4448,s8061,s2133,s8081,s2738,s4947,s4494,s2678,s6179,s153,s4244,s4977,s3631,s3872,s113,s37,s3255,s7677,s7272,s3209,s247,s34,s2182,s5047,s7921,s7037,s3220,s4447,s7004,s7926,s56,s623,s7194,s8079,s7916,s7047]) ).
cnf(s8088,plain,
( spl2_154
| ~ spl2_192
| ~ spl2_371
| spl2_175
| ~ spl2_248
| spl2_22
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s4448,s2033,s4868,s1718,s5651,s980,s1312,s5580,s377,s8007,s8005,s7931,s7926]) ).
cnf(s8089,plain,
( ~ spl2_191
| spl2_166
| ~ spl2_176
| ~ spl2_192
| ~ spl2_371
| spl2_175
| spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s7278,s7492,s5269,s4620,s2242,s6089,s5781,s5345,s6070,s6645,s7777,s4393,s5651,s8082,s4500,s8050,s8066,s2738,s2664,s7628,s58,s569,s4448,s849,s6198,s5324,s6185,s811,s113,s37,s7272,s247,s34,s7921,s7037,s3220,s4447,s7004,s7926,s2133,s8088,s3209,s3255,s56,s5553,s623,s603,s4706,s7277,s377,s7194,s7047]) ).
cnf(s8090,plain,
( ~ spl2_503
| ~ spl2_154
| ~ spl2_192
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s6179,s4680,s4494,s4788,s4947,s2063,s3288,s2738,s6856,s8082,s3207,s4558,s3255,s7272]) ).
cnf(s8091,plain,
( ~ spl2_224
| ~ spl2_235
| ~ spl2_190
| ~ spl2_154
| ~ spl2_192
| spl2_175
| spl2_188
| ~ spl2_21 ),
inference(rat,[],[s7470,s7165,s2041,s4989,s4448]) ).
cnf(s8093,plain,
( spl2_206
| spl2_191
| ~ spl2_163
| ~ spl2_176
| ~ spl2_192
| ~ spl2_371
| ~ spl2_186
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s3372,s7032,s2134,s8050,s4758,s4947,s3255]) ).
cnf(s8094,plain,
( spl2_166
| ~ spl2_176
| ~ spl2_192
| ~ spl2_371
| spl2_175
| spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s7470,s7165,s5156,s4494,s8093,s926,s8089,s377,s7272,s7921,s7037,s3220,s4447,s7004,s7926,s623,s7194,s7047,s8088,s3209,s3255,s56]) ).
cnf(s8095,plain,
( ~ spl2_166
| ~ spl2_154
| ~ spl2_70
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s6185,s4448,s6514,s5216,s7486,s7926,s56,s4447,s7004]) ).
cnf(s8096,plain,
( spl2_221
| ~ spl2_8
| spl2_224
| spl2_69
| ~ spl2_180
| ~ spl2_163
| ~ spl2_154
| ~ spl2_371
| ~ spl2_186
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_22
| spl2_15
| ~ spl2_28 ),
inference(rat,[],[s8086,s7553,s3288,s5345,s6229,s6089,s6086,s6088,s1246,s6070,s6645,s7279,s4393,s2664,s4501,s5490,s8066,s2738,s5477,s113,s37,s7272,s2182]) ).
cnf(s8097,plain,
( ~ spl2_191
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| ~ spl2_192
| ~ spl2_371
| ~ spl2_186
| ~ spl2_16
| spl2_205
| spl2_22
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5467,s7282,s7174,s5156,s4494,s4947,s8096,s603,s4406,s570,s4448,s849,s5324,s6185,s811,s7047,s7272,s7921,s4447,s7004,s7926,s56,s2133,s377,s8095,s7037]) ).
cnf(s8098,plain,
( ~ spl2_192
| ~ spl2_371
| spl2_175
| spl2_43
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s7470,s7165,s5156,s4494,s4947,s6109,s926,s8097,s7383,s3285,s8094,s8095,s8088,s113,s37,s7926,s56,s3255,s7272,s3209,s7037,s3220,s623,s7194,s7047]) ).
cnf(s8099,plain,
( spl2_1046
| ~ spl2_1045
| ~ spl2_190
| ~ spl2_371
| ~ spl2_186
| spl2_513
| spl2_205
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s6104,s6851,s4560,s4988,s6856,s3288,s4680]) ).
cnf(s8100,plain,
( spl2_154
| spl2_192
| ~ spl2_371
| spl2_164
| spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| ~ spl2_248
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s6102,s6957,s6851,s6644,s7389,s6612,s8071,s5133,s4503,s8099,s926,s6179,s5272,s4989,s4448,s2134,s4868,s1718,s5651,s8053,s7388,s377,s8007,s8005,s7931,s410,s113,s37,s7926,s3255,s2182,s623]) ).
cnf(s8101,plain,
( ~ spl2_191
| ~ spl2_8
| ~ spl2_176
| spl2_166
| ~ spl2_154
| spl2_192
| ~ spl2_371
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_1013
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s6647,s4344,s6170,s2242,s6085,s5345,s6070,s7777,s4393,s5651,s4500,s8050,s8066,s2717,s2664,s7628,s58,s569,s4448,s849,s6198,s5324,s6185,s811,s3255,s2133,s377,s5553]) ).
cnf(s8102,plain,
( ~ spl2_503
| ~ spl2_482
| ~ spl2_383
| ~ spl2_235
| ~ spl2_190
| ~ spl2_154
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s4503,s4450,s8071,s8070,s3255]) ).
cnf(s8103,plain,
( ~ spl2_526
| spl2_568
| ~ spl2_176
| spl2_166
| ~ spl2_371
| spl2_513
| spl2_188
| spl2_22 ),
inference(rat,[],[s3967,s5608,s7280,s3288,s5122,s6229,s6612,s1246,s2182,s377]) ).
cnf(s8104,plain,
( spl2_178
| ~ spl2_383
| ~ spl2_235
| ~ spl2_190
| ~ spl2_176
| spl2_166
| ~ spl2_154
| spl2_192
| ~ spl2_371
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s6099,s6851,s4560,s4988,s6856,s3288,s1229,s8103,s2119,s8102,s2134,s4250,s7470,s3255,s7272,s562]) ).
cnf(s8105,plain,
( ~ spl2_491
| spl2_568
| ~ spl2_190
| spl2_205
| spl2_22 ),
inference(rat,[],[s4988,s3288,s6851,s5608,s5344,s3967]) ).
cnf(s8106,plain,
( ~ spl2_383
| spl2_191
| ~ spl2_190
| ~ spl2_176
| spl2_166
| ~ spl2_154
| spl2_192
| ~ spl2_371
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s5503,s2302,s7389,s6277,s5122,s3283,s8105,s6645,s8103,s2119,s8102,s2134,s3372,s7032,s977,s980,s1312,s5580,s8104,s3255,s7272,s562,s377,s926]) ).
cnf(s8107,plain,
( ~ spl2_176
| spl2_166
| ~ spl2_154
| spl2_192
| ~ spl2_371
| spl2_164
| spl2_175
| spl2_513
| ~ spl2_70
| ~ spl2_1013
| ~ spl2_16
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s7280,s8105,s6277,s2119,s2302,s8071,s5503,s6645,s2134,s7389,s6612,s3372,s5580,s5133,s4503,s7032,s977,s7470,s8099,s8050,s7165,s6179,s569,s4989,s5684,s4406,s8106,s926,s8101,s603,s4706,s7277,s113,s37,s3255,s7272,s2182,s623,s562,s377]) ).
cnf(s8108,plain,
( ~ spl2_526
| ~ spl2_482
| ~ spl2_370
| ~ spl2_503
| ~ spl2_163
| ~ spl2_154
| ~ spl2_371
| spl2_513
| spl2_161 ),
inference(rat,[],[s3288,s1207,s6229,s4005,s1246,s3844,s3255]) ).
cnf(s8109,plain,
( spl2_178
| spl2_541
| ~ spl2_503
| ~ spl2_184
| ~ spl2_212
| ~ spl2_191
| ~ spl2_1025
| ~ spl2_163
| ~ spl2_154
| spl2_192
| ~ spl2_371
| spl2_175
| spl2_513
| spl2_205
| spl2_161
| ~ spl2_21 ),
inference(rat,[],[s4503,s6808,s4005,s3880,s6850,s7092,s5390,s6349,s3288,s7163,s1229,s2665,s6644,s8108,s2134,s4393,s5467,s4250,s7279,s7282,s7470,s3255,s7272,s4406,s4448]) ).
cnf(s8112,plain,
( ~ spl2_700
| spl2_1032
| spl2_715
| ~ spl2_221
| ~ spl2_1065
| ~ spl2_70
| spl2_205 ),
inference(rat,[],[s7606,s4813,s6647,s5781,s6139]) ).
cnf(s8113,plain,
( spl2_544
| ~ spl2_178
| ~ spl2_503
| ~ spl2_221
| ~ spl2_8
| ~ spl2_212
| ~ spl2_1065
| ~ spl2_163
| ~ spl2_154
| ~ spl2_371
| spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s7129,s7281,s2851,s5647,s6517,s8112,s6089,s6088,s7777,s6070,s7091,s7092,s2669,s5549,s5503,s5098,s6120,s4788,s3880,s7008,s4313,s2063,s3288,s5390,s6229,s4796,s1246,s3844,s6645,s3255,s7272,s2182,s4448,s3207]) ).
cnf(s8114,plain,
( ~ spl2_489
| ~ spl2_1043
| ~ spl2_190
| spl2_541
| ~ spl2_184
| spl2_161 ),
inference(rat,[],[s7092,s5503,s5390,s4988,s6349]) ).
cnf(s8115,plain,
( ~ spl2_503
| ~ spl2_184
| ~ spl2_221
| ~ spl2_191
| ~ spl2_1025
| ~ spl2_180
| spl2_166
| ~ spl2_154
| spl2_192
| ~ spl2_371
| ~ spl2_186
| spl2_175
| spl2_513
| ~ spl2_139
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s3880,s1207,s2063,s3288,s8114,s2981,s4393,s8113,s7388,s8109,s3207,s3255,s7272,s377,s5491,s4448,s6185,s603,s570,s5324,s2133]) ).
cnf(s8116,plain,
( spl2_503
| ~ spl2_211
| ~ spl2_191
| ~ spl2_549
| ~ spl2_163
| ~ spl2_371
| ~ spl2_186
| spl2_513
| ~ spl2_16
| spl2_205
| spl2_22 ),
inference(rat,[],[s7912,s7485,s2665,s4560,s1246,s6856,s6278,s3288,s1472,s1445,s2182]) ).
cnf(s8117,plain,
( ~ spl2_191
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_549
| ~ spl2_154
| spl2_192
| ~ spl2_371
| ~ spl2_186
| spl2_175
| ~ spl2_139
| ~ spl2_16
| spl2_205
| spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s8113,s3289,s2981,s5467,s7174,s8115,s8116,s8096,s603,s4406,s570,s4448,s849,s5324,s6185,s811,s7047,s3255,s7921,s4447,s7004,s7926,s56,s2133,s377,s8095,s7037,s5491]) ).
cnf(s8118,plain,
( spl2_511
| ~ spl2_520
| ~ spl2_370
| ~ spl2_221
| ~ spl2_231
| ~ spl2_371
| ~ spl2_186
| spl2_513
| spl2_205
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s6104,s4560,s6317,s1296,s6856,s3283,s3288,s3491,s1207,s6851,s5503,s3255]) ).
cnf(s8119,plain,
( ~ spl2_503
| ~ spl2_184
| ~ spl2_383
| ~ spl2_520
| spl2_526
| ~ spl2_482
| ~ spl2_235
| spl2_166
| ~ spl2_154
| ~ spl2_186
| spl2_175
| ~ spl2_70
| spl2_205
| spl2_161
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s1229,s7470,s3288,s7388,s6349,s8102,s3207,s3255,s7272]) ).
cnf(s8120,plain,
( spl2_205
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s8112,s8064,s4978,s4030,s6502,s7278,s4351,s6154,s6099,s4560,s6856,s3288,s1472,s1445,s8119,s2664,s849,s7174,s6640,s4406,s603,s963,s5684,s4749,s1367,s1232,s7389,s3982,s8118,s5390,s6724,s2981,s6644,s6645,s8078,s2134,s6175,s6109,s5490,s6321,s1659,s926,s5482,s8117,s5491,s7383,s3285,s7498,s8107,s377,s8095,s8100,s562,s8098,s8087,s623,s7194,s8079,s7921,s247,s7037,s6853,s34,s3209,s3220,s7916,s7272,s113,s37,s7047,s5920,s7926,s56,s4447,s7004,s3255,s7677]) ).
cnf(s8121,plain,
( spl2_70
| ~ spl2_205
| ~ spl2_21
| ~ spl2_51
| ~ spl2_40 ),
inference(rat,[],[s6636,s849,s4827,s409,s7005,s4629,s2654]) ).
cnf(s8122,plain,
( spl2_154
| ~ spl2_205
| spl2_161
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s1253,s2781,s980,s5651,s4868,s5519,s1246,s1561,s7965,s377,s1770,s7961,s2779,s7931,s7993,s2790,s410,s3255]) ).
cnf(s8123,plain,
( ~ spl2_175
| ~ spl2_34
| ~ spl2_235
| ~ spl2_212
| spl2_22
| ~ spl2_20 ),
inference(rat,[],[s6109,s3285,s994,s939]) ).
cnf(s8124,plain,
( spl2_804
| ~ spl2_34
| spl2_226
| spl2_191
| spl2_204
| ~ spl2_8
| ~ spl2_50
| spl2_224
| ~ spl2_43
| spl2_77
| spl2_166
| ~ spl2_51
| ~ spl2_28 ),
inference(rat,[],[s4500,s4151,s4393,s2134,s6070,s6165,s6149,s5587,s3512,s7938,s4297,s8064,s377]) ).
cnf(s8125,plain,
( ~ spl2_702
| ~ spl2_34
| spl2_204
| ~ spl2_50
| ~ spl2_43
| ~ spl2_154
| ~ spl2_20 ),
inference(rat,[],[s6271,s7722,s6323,s7231,s4297]) ).
cnf(s8126,plain,
( ~ spl2_43
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5499,s6150,s4344,s1857,s4805,s2242,s4151,s6526,s6504,s2134,s6109,s7411,s561,s3285,s2922,s5635,s5502,s7928,s7938,s4813,s8125,s8124,s623,s7937,s8123,s3169,s102,s1098,s926,s3740,s6640,s811,s849,s2678,s396,s153,s3286,s7628,s58,s4305,s4448,s5034,s6199,s113,s5920,s3255,s413,s8095,s8121,s7926,s37,s8122,s8120,s7677,s56]) ).
cnf(s8127,plain,
( spl2_221
| spl2_509
| spl2_502
| spl2_188
| spl2_212
| spl2_513
| ~ spl2_16
| ~ spl2_154
| ~ spl2_70
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s1445,s4796,s1472,s7381,s3288,s6229,s7237,s5500,s8061,s2738,s3255]) ).
cnf(s8128,plain,
( ~ spl2_692
| ~ spl2_221
| spl2_204
| ~ spl2_23
| ~ spl2_8
| spl2_191
| ~ spl2_176
| ~ spl2_175
| ~ spl2_16
| ~ spl2_70
| spl2_15
| ~ spl2_28 ),
inference(rat,[],[s7553,s6108,s5345,s8064,s3060,s5041,s2922]) ).
cnf(s8129,plain,
( ~ spl2_176
| ~ spl2_175
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2134,s8071,s8068,s2119,s5608,s3288,s6229,s5474,s4328,s5502,s8128,s562,s1463,s4699,s8127,s2678,s1248,s153,s1412,s102,s3286,s4305,s6640,s6636,s849,s396,s5490,s7260,s926,s5482,s6185,s939,s113,s7047,s5920,s3255,s8095,s8122,s7677,s2182,s5047,s7921,s3220,s8126,s8121,s8120,s37,s4447,s7004,s7926,s56]) ).
cnf(s8130,plain,
( spl2_172
| ~ spl2_175
| ~ spl2_58
| ~ spl2_205
| spl2_22
| ~ spl2_1044
| ~ spl2_21
| ~ spl2_20 ),
inference(rat,[],[s5097,s6526,s4798,s5477,s5649,s2782,s5490,s7628,s396,s7799,s849]) ).
cnf(s8131,plain,
( ~ spl2_175
| spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s1445,s1472,s8071,s3288,s2134,s6229,s6175,s5474,s7498,s562,s1463,s4699,s6109,s3740,s1248,s1412,s102,s1659,s926,s7628,s6640,s811,s6636,s8130,s3795,s3285,s8129,s113,s5920,s3255,s7677,s7500,s7047,s5047,s7921,s3220,s8126,s8121,s8120,s37,s4447,s7004,s7926,s56]) ).
cnf(s8132,plain,
( ~ spl2_31
| spl2_164
| ~ spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6526,s5477,s5649,s2782,s5490,s7628,s2780,s623]) ).
cnf(s8133,plain,
( spl2_185
| spl2_509
| spl2_226
| spl2_191
| ~ spl2_16
| ~ spl2_205
| spl2_161 ),
inference(rat,[],[s1253,s2781,s980,s5503,s7032,s6123,s3372,s2789,s601,s3255]) ).
cnf(s8134,plain,
( spl2_371
| ~ spl2_176
| ~ spl2_482
| spl2_175
| spl2_43
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s4494,s4758,s6179,s4244,s4977]) ).
cnf(s8135,plain,
( ~ spl2_176
| spl2_503
| ~ spl2_185
| spl2_509
| spl2_164
| spl2_175
| spl2_513
| spl2_43
| ~ spl2_163
| ~ spl2_154
| spl2_161
| ~ spl2_21
| ~ spl2_28 ),
inference(rat,[],[s4758,s5156,s562,s3289,s2119,s4119,s5344,s5503,s7280,s1549,s6218,s4560,s6099,s1540,s1472,s7008,s4313,s3288,s6229,s8134,s5626,s7277,s3255,s3220,s2182,s7262,s2134,s1445]) ).
cnf(s8136,plain,
( spl2_6
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s3288,s1472,s6229,s7498,s4244,s4805,s6526,s6109,s3285,s8135,s1445,s8071,s2134,s8133,s1248,s1412,s1098,s926,s6640,s811,s849,s396,s8132,s2780,s623,s7262,s7194,s8131,s5047,s7921,s3220,s8126,s377,s8095,s8122,s8121,s8120,s3255,s7677,s113,s37,s7047,s5920,s7926,s56,s4447,s7004]) ).
cnf(s8137,plain,
( ~ spl2_43
| ~ spl2_175
| spl2_161
| spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s2401,s1869,s7882,s7532,s7858,s5486,s4202,s413,s377,s1617,s7394,s3804,s1587,s3285,s4758,s4151,s7857,s1316,s977,s7853,s2660,s965,s2754,s3872,s5649,s4827,s248,s247,s7005,s4629,s2654,s3790,s1127,s5199,s4699,s4798,s4494,s3084,s5097,s7515,s6998,s4833,s1463,s7898,s37,s7047,s7926,s56,s4447,s7004,s3,s8136,s3250,s7272]) ).
cnf(s8138,plain,
( spl2_186
| ~ spl2_70
| spl2_43
| ~ spl2_175
| ~ spl2_1044
| ~ spl2_21
| spl2_9 ),
inference(rat,[],[s4798,s4805,s5097,s7183,s623]) ).
cnf(s8139,plain,
( ~ spl2_164
| ~ spl2_70
| ~ spl2_16
| ~ spl2_175
| ~ spl2_1044
| ~ spl2_21
| spl2_9 ),
inference(rat,[],[s4798,s4805,s5097,s7160]) ).
cnf(s8140,plain,
( ~ spl2_175
| spl2_161
| spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4448,s4406,s8061,s7174,s2738,s4798,s4699,s4805,s1463,s5467,s7498,s7383,s7282,s5553,s5580,s5486,s377,s8095,s8049,s7237,s4671,s5480,s8139,s8138,s5047,s7921,s7037,s3220,s8137,s113,s37,s7926,s56,s4447,s7004,s8136,s7272]) ).
cnf(s8141,plain,
( ~ spl2_43
| spl2_161
| spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s7886,s4833,s3,s4671,s5480,s623,s7937,s8140,s56,s8136]) ).
cnf(s8142,plain,
( spl2_161
| spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4501,s4393,s3285,s6645,s5553,s1246,s5486,s4448,s377,s8061,s8095,s3214,s2738,s8081,s2182,s4947,s247,s7921,s7037,s4244,s34,s3209,s3220,s8141,s4494,s6179,s4977,s4671,s5480,s623,s7937,s8140,s113,s37,s7926,s56,s4447,s7004,s8136,s3250,s7272]) ).
cnf(s8143,plain,
( spl2_164
| ~ spl2_175
| ~ spl2_43
| ~ spl2_161
| ~ spl2_6
| ~ spl2_28 ),
inference(rat,[],[s153,s3631,s1768,s4671,s378,s5480,s623]) ).
cnf(s8144,plain,
( ~ spl2_175
| ~ spl2_43
| spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s102,s6640,s120,s1734,s994,s4798,s3084,s5097,s6998,s8143,s5920,s7926,s56,s4447,s7004,s8136,s3250,s7272,s8142]) ).
cnf(s8145,plain,
( ~ spl2_43
| spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s5486,s377,s5553,s1737,s7383,s153,s5474,s3631,s4671,s4833,s5480,s623,s7937,s8144,s56,s3,s8136,s7272,s8142]) ).
cnf(s8146,plain,
( spl2_205
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s4956,s5486,s6850,s1737,s2302,s153,s1724,s4306,s3583,s3582,s6644,s6645,s1246,s1745,s3214,s2182,s7921,s7037,s3220,s8145,s8142,s7926,s56,s4447,s7004,s8136]) ).
cnf(s8147,plain,
( spl2_31
| ~ spl2_472
| spl2_22
| ~ spl2_205
| ~ spl2_21
| spl2_353 ),
inference(rat,[],[s2857,s102,s3740,s6640,s849,s396]) ).
cnf(s8148,plain,
( spl2_161
| spl2_9
| ~ spl2_28 ),
inference(rat,[],[s7500,s8130,s7194,s5034,s6636,s8132,s7628,s8147,s5486,s377,s413,s8095,s8122,s3255,s113,s7047,s5920,s4447,s7004,s8136,s8121,s8146,s7926,s56,s37]) ).
cnf(s8149,plain,
( spl2_513
| spl2_509
| ~ spl2_6 ),
inference(rat,[],[s3214,s2182]) ).
cnf(s8150,plain,
( spl2_9
| ~ spl2_28 ),
inference(rat,[],[s153,s1768,s4305,s413,s3220,s4529,s2790,s7921,s7882,s7927,s8149,s1246,s377,s5216,s5519,s2781,s1561,s1747,s2777,s3584,s8148,s8121,s8146,s8136,s4447,s7926,s7004,s56,s37]) ).
cnf(s8152,plain,
( spl2_191
| ~ spl2_166
| spl2_18
| spl2_70
| ~ spl2_43
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s7399,s504,s6514,s8150]) ).
cnf(s8156,plain,
( ~ spl2_192
| ~ spl2_1044
| ~ spl2_70
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| ~ spl2_9 ),
inference(rat,[],[s5097,s4798,s4837,s4805,s1463]) ).
cnf(s8159,plain,
( ~ spl2_492
| spl2_513
| ~ spl2_176
| spl2_154
| ~ spl2_139
| spl2_166
| ~ spl2_175
| ~ spl2_43
| spl2_205 ),
inference(rat,[],[s7881,s5121,s5122]) ).
cnf(s8160,plain,
( spl2_501
| ~ spl2_491
| ~ spl2_183
| ~ spl2_164
| spl2_517 ),
inference(rat,[],[s1222,s7386,s3517,s1279,s2305]) ).
cnf(s8161,plain,
( spl2_513
| ~ spl2_176
| ~ spl2_263
| ~ spl2_183
| ~ spl2_164
| spl2_154
| ~ spl2_139
| spl2_166
| ~ spl2_175
| ~ spl2_43
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s1480,s1246,s2736,s1200,s1410,s8160,s7280,s8159,s7272,s377,s4202,s1623]) ).
cnf(s8162,plain,
( ~ spl2_513
| ~ spl2_183
| ~ spl2_368
| ~ spl2_50
| spl2_459
| ~ spl2_20 ),
inference(rat,[],[s1296,s2825,s7306]) ).
cnf(s8163,plain,
( spl2_501
| spl2_1058
| spl2_513
| ~ spl2_386
| ~ spl2_183
| ~ spl2_164
| spl2_204
| spl2_517
| ~ spl2_175
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s3208,s6784,s5121,s1296,s3283,s3288,s8160,s1194]) ).
cnf(s8164,plain,
( ~ spl2_164
| spl2_204
| spl2_154
| spl2_70
| spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1252,s2736,s1200,s1410,s8163,s6381,s5133,s1357,s7389,s4956,s7864,s7390,s8161,s2182,s8162,s5132,s7982,s3175,s2749,s980,s2754,s1857,s1379,s999,s4830,s5467,s5468,s7282,s1554,s4798,s5097,s7515,s4640,s113,s989,s247,s3790,s410,s499,s174,s260,s985,s248,s2654,s4202,s1623,s58,s4751,s152,s984,s3250,s4447,s4422,s236,s990,s7272,s377,s8150,s173,s37]) ).
cnf(s8165,plain,
( spl2_154
| spl2_70
| spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1480,s6196,s4788,s7306,s4574,s8159,s2401,s5122,s3283,s3967,s7498,s6098,s5423,s6211,s6792,s6795,s562,s4494,s1463,s5484,s4837,s8164,s4447,s2678,s58,s4422,s153,s4751,s236,s152,s499,s990,s984,s113,s8150,s3250,s7272,s7677,s377,s2654,s174,s173,s37,s247,s3790]) ).
cnf(s8166,plain,
( spl2_70
| spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4798,s7853,s5097,s2754,s4837,s1332,s1463,s7897,s4447,s4422,s977,s4306,s2749,s6199,s413,s8165,s248,s4629,s2654,s37,s8150,s3250,s7272]) ).
cnf(s8167,plain,
( ~ spl2_491
| spl2_513
| ~ spl2_183
| ~ spl2_164
| spl2_517
| ~ spl2_233
| ~ spl2_43
| ~ spl2_9 ),
inference(rat,[],[s6530,s3208,s2736,s1410,s8160]) ).
cnf(s8168,plain,
( ~ spl2_164
| spl2_192
| ~ spl2_1044
| ~ spl2_50
| spl2_15
| spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8059,s6171,s2134,s7961,s1480,s5662,s1555,s2736,s8159,s5121,s3283,s8167,s8162,s3289,s4798,s2970,s5097,s7515,s4640,s113,s37,s8150,s377,s562,s247,s3791,s7162,s410,s4202,s1623,s7897,s3250,s7272]) ).
cnf(s8169,plain,
( spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7281,s2238,s6101,s5345,s8064,s6196,s1445,s1480,s4796,s4788,s7306,s4574,s8159,s2401,s5121,s3060,s5041,s2922,s5122,s3283,s6646,s7383,s3967,s4328,s4834,s5423,s7282,s6859,s1361,s4494,s3874,s2772,s5484,s623,s8168,s7162,s410,s247,s7897,s3791,s8156,s4447,s2678,s3286,s58,s4422,s153,s4751,s194,s192,s189,s8166,s377,s113,s37,s8150,s3250,s7272,s7677]) ).
cnf(s8170,plain,
( ~ spl2_164
| ~ spl2_1044
| ~ spl2_191
| ~ spl2_166
| ~ spl2_175
| ~ spl2_21
| spl2_188 ),
inference(rat,[],[s909,s1329,s7282,s603,s1554,s4807,s4798,s5097]) ).
cnf(s8172,plain,
( spl2_700
| ~ spl2_1059
| ~ spl2_500
| spl2_792
| ~ spl2_50
| spl2_188
| ~ spl2_20 ),
inference(rat,[],[s7281,s7129,s5632,s6323]) ).
cnf(s8173,plain,
( spl2_513
| spl2_527
| spl2_502
| spl2_792
| spl2_716
| spl2_715
| spl2_804
| ~ spl2_50
| spl2_204
| ~ spl2_360
| spl2_508
| ~ spl2_191
| spl2_70
| spl2_154
| ~ spl2_43
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s7953,s6271,s7281,s2255,s6101,s6092,s8172,s5390,s6196,s6809,s1480,s3208,s2736,s2182,s7272,s247,s3790]) ).
cnf(s8174,plain,
( ~ spl2_1044
| spl2_70
| spl2_154
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5498,s6196,s4219,s7306,s8173,s5122,s5121,s2285,s3060,s5041,s2922,s58,s3283,s6646,s4751,s2678,s3967,s4328,s7498,s144,s6098,s1326,s153,s5423,s6211,s508,s6792,s3631,s6795,s562,s4494,s3874,s1463,s5484,s4837,s8170,s5053,s113,s8150,s7677,s8169,s499,s174,s3250,s7272,s745,s195,s4629,s849,s812,s248,s2654,s37,s4169]) ).
cnf(s8175,plain,
( spl2_70
| spl2_154
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s144,s587,s4751,s4807,s439,s3286,s603,s6883,s2689,s4447,s8174,s745,s195,s4629,s2654,s37,s8150,s3250,s7272]) ).
cnf(s8176,plain,
( spl2_513
| ~ spl2_1049
| ~ spl2_710
| spl2_502
| spl2_792
| ~ spl2_43
| spl2_188 ),
inference(rat,[],[s7278,s7929,s7492,s2736]) ).
cnf(s8177,plain,
( spl2_154
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5498,s6196,s4219,s7306,s8176,s4813,s6271,s3512,s6323,s8048,s5122,s5121,s2285,s5041,s2922,s3283,s6646,s3967,s4328,s5423,s6859,s5662,s5056,s4494,s3874,s5272,s849,s5484,s4448,s811,s8170,s5216,s8156,s6514,s4447,s7628,s58,s1326,s4422,s4751,s194,s189,s8175,s113,s37,s8150,s3250,s7272,s7677,s8169]) ).
cnf(s8178,plain,
( ~ spl2_1044
| spl2_70
| ~ spl2_154
| ~ spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s569,s7498,s6098,s6211,s6792,s562,s4494,s1463,s5484,s4837,s8170,s6514,s1329,s603,s570,s5684,s5216,s8150,s7272,s2654]) ).
cnf(s8179,plain,
( spl2_70
| ~ spl2_154
| ~ spl2_166
| ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8152,s5324,s117,s570,s381,s603,s6883,s2689,s4447,s8178,s7272,s2133]) ).
cnf(s8180,plain,
( ~ spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4448,s6185,s5216,s6514,s4447,s1326,s4422,s194,s8179,s8177,s8169,s8150]) ).
cnf(s8181,plain,
( spl2_224
| ~ spl2_163
| spl2_70
| spl2_154
| ~ spl2_43
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s2749,s5651,s6259,s4868,s7178,s8150]) ).
cnf(s8182,plain,
( ~ spl2_163
| spl2_70
| spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3874,s4977,s5199,s6179,s6803,s1809,s4989,s5330,s8181,s2678,s2693,s153,s65,s236,s3649,s990,s8150,s7677,s1362,s8007,s173,s603,s4706,s586,s499,s174,s8005,s3250,s7272,s8180,s5399,s2654,s113,s37]) ).
cnf(s8183,plain,
( spl2_70
| spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3874,s4977,s5199,s623,s6179,s6803,s5097,s4989,s5216,s377,s8182,s4447,s2689,s603,s4706,s586,s499,s5399,s174,s2654,s113,s37,s8150,s7677,s8005,s3250,s7272,s8180]) ).
cnf(s8184,plain,
( spl2_492
| spl2_513
| ~ spl2_241
| spl2_185
| ~ spl2_139
| ~ spl2_184
| ~ spl2_164
| ~ spl2_163
| spl2_508
| ~ spl2_50
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5046,s5587,s3202,s7649,s4978,s3073,s6502,s7278,s6851,s4351,s7386,s6104,s1279,s4503,s1410,s5475,s2061,s7280,s113,s37,s8150,s7272]) ).
cnf(s8185,plain,
( spl2_513
| ~ spl2_241
| spl2_185
| ~ spl2_139
| ~ spl2_383
| ~ spl2_164
| spl2_183
| spl2_166
| spl2_508
| ~ spl2_1044
| ~ spl2_50
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6645,s6612,s7903,s5122,s8184,s2182,s8005,s3250,s7272,s377,s5097,s7028,s113,s37]) ).
cnf(s8186,plain,
( ~ spl2_164
| ~ spl2_191
| spl2_166
| ~ spl2_70
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6317,s1869,s4574,s7532,s8185,s3872,s4202,s3175,s1333,s1628,s2749,s980,s247,s5651,s3791,s4868,s4406,s4947,s5330,s4494,s7028,s5097,s113,s37,s410,s1362,s1668,s1564,s5518,s8005,s192,s58,s4447,s4422,s194,s5056,s849,s6640,s102,s65,s5926,s7628,s4751,s189,s8150,s5580,s377,s1554,s8007,s3250,s7272]) ).
cnf(s8187,plain,
( ~ spl2_206
| spl2_175
| ~ spl2_21
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s6179,s4977,s4494,s3874,s8150]) ).
cnf(s8189,plain,
( spl2_527
| spl2_513
| ~ spl2_139
| spl2_166
| spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6104,s6851,s4503,s1410,s7389,s7881,s8150,s377]) ).
cnf(s8190,plain,
( spl2_513
| ~ spl2_139
| ~ spl2_1065
| spl2_191
| ~ spl2_221
| spl2_166
| spl2_204
| ~ spl2_70
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8112,s8064,s4978,s4030,s6502,s3288,s7278,s6851,s4313,s4351,s6104,s4503,s1410,s5475,s2061,s5122,s8189,s8005,s3286,s4751,s189,s8150,s3250,s7272]) ).
cnf(s8191,plain,
( ~ spl2_164
| spl2_166
| spl2_204
| ~ spl2_70
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6317,s1869,s8162,s4574,s7532,s8190,s4202,s1628,s247,s5491,s3791,s4947,s8186,s7028,s7515,s4640,s113,s37,s8187,s410,s1668,s1564,s8007,s5518,s8005,s192,s3250,s7272,s58,s4751,s189,s4447,s4422,s194,s8150]) ).
cnf(s8192,plain,
( spl2_513
| ~ spl2_264
| ~ spl2_139
| ~ spl2_190
| ~ spl2_186
| spl2_166
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2919,s2152,s6840,s8105,s6508,s2061,s7280,s1216,s5122,s2760,s8189,s4202,s1628,s410,s1668,s1564,s5518,s8005,s3872,s1333,s980,s8150,s5580,s377,s8007,s3250,s7272]) ).
cnf(s8193,plain,
( ~ spl2_264
| ~ spl2_139
| ~ spl2_190
| ~ spl2_186
| spl2_166
| ~ spl2_70
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4988,s3288,s7189,s7008,s4796,s4503,s2916,s7306,s4574,s8192,s3872,s3175,s1333,s2749,s980,s113,s37,s58,s4751,s189,s4447,s4422,s194,s8150,s5580,s377,s8007,s3250,s7272]) ).
cnf(s8194,plain,
( spl2_513
| ~ spl2_1045
| ~ spl2_224
| ~ spl2_139
| ~ spl2_190
| ~ spl2_186
| spl2_166
| spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5133,s8099,s8189,s3250,s7272,s4977]) ).
cnf(s8195,plain,
( spl2_166
| spl2_204
| ~ spl2_70
| spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5498,s1530,s5342,s1549,s2958,s7249,s4796,s4503,s4576,s7306,s4574,s4211,s8194,s601,s6179,s3175,s4989,s4448,s4868,s5651,s977,s8193,s4202,s1628,s247,s6188,s3791,s5199,s7277,s623,s8191,s377,s113,s37,s8187,s410,s1668,s1564,s8007,s5518,s8005,s3250,s7272,s58,s4751,s189,s4447,s4422,s194,s8150]) ).
cnf(s8196,plain,
( ~ spl2_504
| spl2_513
| spl2_185
| spl2_221
| ~ spl2_191
| spl2_508
| ~ spl2_70
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3512,s7772,s6323,s7231,s8048,s4978,s4030,s6502,s3288,s7278,s6851,s4313,s4351,s6104,s4503,s1410,s5475,s113,s37,s58,s3286,s4751,s189,s8150,s3250,s7272]) ).
cnf(s8197,plain,
( spl2_504
| ~ spl2_139
| spl2_517
| spl2_154
| spl2_175
| spl2_161
| spl2_205 ),
inference(rat,[],[s2094,s7961,s1480,s7978,s410,s1362,s8007,s8005,s3250,s7272]) ).
cnf(s8198,plain,
( spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6196,s5498,s5133,s4219,s7306,s4574,s8196,s8197,s247,s3791,s5199,s1809,s5272,s4202,s5330,s4448,s1650,s6342,s5216,s1329,s8195,s5056,s849,s6640,s4447,s2678,s2693,s102,s3286,s7628,s58,s4422,s153,s65,s4751,s194,s189,s8183,s1362,s1564,s5518,s8007,s8005,s113,s37,s8150,s3250,s7272,s5926,s8187,s8180,s7677]) ).
cnf(s8199,plain,
( spl2_513
| ~ spl2_178
| ~ spl2_221
| ~ spl2_184
| spl2_70
| spl2_204
| ~ spl2_472
| ~ spl2_212
| ~ spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s3208,s6796,s3844,s6317,s6645,s1554,s4393,s926,s7092,s7154,s5390,s6349,s2401,s5503,s2061,s2063,s4956,s7905,s2182,s7272,s4448,s2654,s247,s3790]) ).
cnf(s8200,plain,
( ~ spl2_192
| spl2_70
| spl2_204
| ~ spl2_472
| ~ spl2_212
| spl2_77
| ~ spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2401,s7837,s3283,s6138,s1438,s1417,s8199,s3289,s3084,s1103,s6899,s5097,s2754,s623,s1332,s5199,s113,s37,s3250,s7272,s8187,s977,s5656,s4447,s4422,s4306,s2749,s8150]) ).
cnf(s8201,plain,
( ~ spl2_221
| spl2_513
| ~ spl2_184
| spl2_70
| spl2_204
| ~ spl2_472
| ~ spl2_212
| ~ spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s7092,s5390,s4393,s6349,s7279,s2401,s8199,s4448,s2063,s2061,s7905,s247,s3790,s7272,s5503,s4956,s2182]) ).
cnf(s8202,plain,
( spl2_513
| ~ spl2_184
| spl2_70
| spl2_204
| ~ spl2_472
| ~ spl2_212
| ~ spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1530,s6645,s7279,s4393,s4501,s1555,s5553,s6218,s623,s2290,s3084,s2738,s8201,s2061,s7905,s2182,s113,s37,s7272,s4448,s5656,s2749,s8150,s247,s3790]) ).
cnf(s8203,plain,
( ~ spl2_164
| ~ spl2_564
| ~ spl2_513
| spl2_100
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s3283,s2401,s1428,s3084,s7837,s6899,s4447,s4422,s6138]) ).
cnf(s8204,plain,
( spl2_492
| ~ spl2_180
| spl2_624
| ~ spl2_1046
| ~ spl2_1040
| ~ spl2_139
| ~ spl2_212
| spl2_175
| ~ spl2_21
| spl2_161
| spl2_188 ),
inference(rat,[],[s1567,s1798,s5498,s5503,s5342,s4788,s3880,s4760,s2061,s7280]) ).
cnf(s8205,plain,
( spl2_541
| ~ spl2_520
| ~ spl2_1046
| ~ spl2_184
| ~ spl2_139
| spl2_175
| ~ spl2_21
| spl2_188 ),
inference(rat,[],[s2063,s6349,s4788]) ).
cnf(s8206,plain,
( spl2_70
| spl2_204
| ~ spl2_472
| ~ spl2_212
| spl2_77
| ~ spl2_154
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6645,s1567,s4393,s6321,s4501,s976,s2738,s2401,s8205,s8204,s1555,s5553,s623,s8203,s6138,s4576,s1417,s4574,s4211,s8202,s6806,s8200,s247,s3790,s3250,s7272,s977,s5656,s4406,s4448,s4447,s4422,s4306,s2749,s8150]) ).
cnf(s8207,plain,
( spl2_513
| spl2_792
| spl2_1032
| spl2_509
| spl2_579
| spl2_715
| ~ spl2_41
| ~ spl2_50
| ~ spl2_70
| spl2_204
| ~ spl2_212
| ~ spl2_154
| spl2_206
| spl2_175
| ~ spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s8172,s5390,s8112,s6349,s5491,s2401,s4947,s4640,s7625,s1809,s6218,s6229,s6856,s7964,s7960,s2731,s7905,s2182,s7272,s427]) ).
cnf(s8208,plain,
( spl2_166
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7281,s5347,s6101,s5345,s7686,s5423,s1213,s6349,s4788,s6087,s1567,s1798,s5503,s4988,s3288,s1472,s7498,s7383,s7388,s5199,s5553,s1445,s623,s4796,s8203,s7306,s4576,s1417,s4574,s8207,s6089,s6088,s1246,s1530,s3844,s6070,s6645,s7279,s7777,s4393,s4500,s2693,s58,s65,s5034,s189,s8206,s4447,s1269,s2678,s4422,s153,s5656,s5651,s977,s4306,s4448,s2749,s6177,s6199,s413,s377,s113,s37,s8150,s3250,s7272,s8187,s8180,s7677,s2133,s8198]) ).
cnf(s8209,plain,
( ~ spl2_192
| ~ spl2_500
| ~ spl2_140
| ~ spl2_166
| ~ spl2_485
| spl2_206
| ~ spl2_21
| ~ spl2_43
| ~ spl2_28 ),
inference(rat,[],[s5324,s6514,s569,s3084,s1329,s1560,s2290,s603,s1633,s623,s262,s5199,s434,s8150]) ).
cnf(s8210,plain,
( ~ spl2_224
| ~ spl2_164
| ~ spl2_184
| spl2_192
| ~ spl2_85
| ~ spl2_166
| ~ spl2_154
| ~ spl2_21
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s1654,s1564,s1560,s3289,s565,s909,s6514,s2290,s1329,s603,s570,s4989,s5684,s5519,s3250]) ).
cnf(s8211,plain,
( spl2_106
| spl2_70
| ~ spl2_166
| ~ spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s8152,s5324,s117,s570,s416,s603,s6883,s2689,s2133]) ).
cnf(s8212,plain,
( ~ spl2_504
| spl2_204
| ~ spl2_482
| ~ spl2_232
| ~ spl2_180
| spl2_164
| spl2_513
| ~ spl2_360
| ~ spl2_211
| ~ spl2_1044
| ~ spl2_25
| ~ spl2_154
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1857,s7913,s4151,s5475,s7871,s3250,s7272,s6514]) ).
cnf(s8213,plain,
( ~ spl2_502
| spl2_504
| ~ spl2_166
| ~ spl2_154
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s7490,s2334,s3844,s1410]) ).
cnf(s8214,plain,
( ~ spl2_700
| ~ spl2_183
| ~ spl2_370
| ~ spl2_211
| spl2_205 ),
inference(rat,[],[s7429,s6647,s5586,s2291]) ).
cnf(s8215,plain,
( ~ spl2_221
| ~ spl2_179
| ~ spl2_526
| ~ spl2_1046
| ~ spl2_492
| ~ spl2_489
| spl2_204
| ~ spl2_370
| ~ spl2_186
| ~ spl2_184
| ~ spl2_500
| ~ spl2_211
| ~ spl2_21
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7584,s6601,s5502,s6642,s2285,s6089,s8172,s8214,s6317,s5390,s58,s6349,s4751,s2401,s993,s113,s37,s8150,s7272]) ).
cnf(s8216,plain,
( spl2_513
| spl2_70
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5635,s6150,s6646,s6647,s2254,s3001,s7429,s5586,s8066,s8215,s7394,s226,s913,s7158,s7282,s7470,s1530,s2202,s6809,s3208,s8213,s6856,s2061,s7960,s1213,s8212,s2683,s7410,s1348,s3999,s1660,s6259,s2134,s999,s4153,s2981,s4458,s1555,s565,s623,s8210,s4989,s6806,s8209,s5047,s2182,s8150,s3250,s427,s8187,s8180,s7677,s2133,s1327,s247,s3790,s248,s2654,s745,s195,s4629,s37,s4448,s5755,s3307,s6514,s1329,s603,s570,s5684,s5216,s4447,s8211,s8198,s7272,s8208]) ).
cnf(s8217,plain,
( spl2_70
| ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6196,s6138,s5133,s5498,s1417,s4574,s4219,s8216,s6514,s1329,s603,s570,s5684,s5216,s4447,s8211,s7272,s7677,s8198,s8208]) ).
cnf(s8218,plain,
( ~ spl2_21
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4448,s6185,s5216,s6514,s4447,s1326,s4422,s194,s8217,s8208,s8198,s8150]) ).
cnf(s8219,plain,
( ~ spl2_700
| spl2_1032
| spl2_804
| ~ spl2_240
| ~ spl2_221
| ~ spl2_191
| spl2_205 ),
inference(rat,[],[s4526,s6647,s6092,s6139]) ).
cnf(s8220,plain,
( ~ spl2_504
| spl2_1046
| spl2_18
| ~ spl2_240
| ~ spl2_221
| ~ spl2_386
| spl2_499
| spl2_513
| spl2_70
| spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3202,s6323,s7166,s8219,s58,s7880,s4978,s4030,s6502,s4956,s7278,s3288,s6851,s4351,s1194,s6104,s1410,s5475,s4471,s113,s37,s8150,s3250,s7272,s493,s7943,s2182]) ).
cnf(s8221,plain,
( spl2_504
| ~ spl2_491
| ~ spl2_263
| ~ spl2_164
| ~ spl2_139
| ~ spl2_163
| spl2_154
| spl2_161
| spl2_205 ),
inference(rat,[],[s2305,s1253,s1246,s3557,s2066,s1480]) ).
cnf(s8222,plain,
( ~ spl2_176
| ~ spl2_263
| ~ spl2_240
| ~ spl2_221
| ~ spl2_386
| ~ spl2_164
| spl2_499
| spl2_513
| ~ spl2_175
| spl2_70
| spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6851,s7389,s6228,s5133,s1410,s8220,s5475,s8221,s7420,s102,s1869,s7280,s6871,s8159,s569,s8150,s493,s7943,s8181,s377,s3250,s7272,s247,s3790,s4202,s1623]) ).
cnf(s8223,plain,
( ~ spl2_504
| spl2_1046
| ~ spl2_240
| ~ spl2_221
| ~ spl2_386
| ~ spl2_164
| spl2_499
| spl2_513
| ~ spl2_175
| spl2_70
| spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3517,s1212,s7280,s2305,s119,s102,s5121,s1410,s8220,s5475,s2914,s8150,s3250,s7272,s5047]) ).
cnf(s8224,plain,
( ~ spl2_192
| ~ spl2_1044
| spl2_513
| ~ spl2_175
| spl2_70
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5121,s3283,s3208,s8221,s6796,s8223,s5133,s7389,s7864,s7390,s8222,s3175,s2749,s980,s977,s1103,s2970,s7282,s577,s3084,s4989,s2678,s2290,s5097,s603,s2754,s153,s4837,s262,s1379,s439,s1463,s434,s4830,s8150,s7677,s7943,s8218,s8181,s377,s3250,s7272,s247,s3790,s248,s2654,s37,s1256,s2182]) ).
cnf(s8225,plain,
( ~ spl2_164
| ~ spl2_221
| spl2_240
| ~ spl2_1044
| ~ spl2_224
| spl2_154
| ~ spl2_26
| spl2_22 ),
inference(rat,[],[s577,s3289,s4989,s2970,s5097]) ).
cnf(s8226,plain,
( spl2_1025
| spl2_513
| ~ spl2_175
| ~ spl2_139
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_205 ),
inference(rat,[],[s8159,s3283,s7383,s3967,s3250,s7272]) ).
cnf(s8227,plain,
( ~ spl2_192
| spl2_513
| ~ spl2_175
| spl2_70
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4447,s4422,s8224,s439,s8150]) ).
cnf(s8228,plain,
( spl2_513
| ~ spl2_175
| spl2_70
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s577,s4989,s3289,s5423,s5468,s7149,s6795,s8227,s8226,s7677,s7943,s8218,s410,s2654,s8181,s377,s3250,s7272,s247,s3790]) ).
cnf(s8229,plain,
( ~ spl2_192
| ~ spl2_513
| ~ spl2_175
| ~ spl2_43
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s8203,s1414,s4837,s439,s1463,s8150]) ).
cnf(s8230,plain,
( ~ spl2_164
| ~ spl2_221
| spl2_240
| spl2_1064
| ~ spl2_224
| spl2_154
| ~ spl2_26
| spl2_22 ),
inference(rat,[],[s577,s4989,s3289,s5423,s2970,s4640]) ).
cnf(s8231,plain,
( ~ spl2_700
| ~ spl2_926
| spl2_716
| spl2_792
| spl2_804
| ~ spl2_8
| ~ spl2_520
| ~ spl2_1044
| ~ spl2_513
| ~ spl2_163
| spl2_188 ),
inference(rat,[],[s4727,s5587,s7281,s2851,s6129,s7782]) ).
cnf(s8232,plain,
( ~ spl2_175
| spl2_70
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3202,s6323,s7166,s8231,s5342,s6644,s58,s6196,s5759,s3060,s2285,s5041,s2922,s5122,s5553,s3283,s6646,s6807,s7383,s3967,s4328,s6138,s4447,s1269,s2678,s5468,s1414,s4422,s153,s7282,s3631,s1361,s3874,s2772,s5484,s623,s8230,s7149,s7162,s6795,s8229,s4211,s8228,s113,s37,s8150,s7677,s410,s493,s7943,s8218,s2654,s8181,s377,s3250,s7272]) ).
cnf(s8233,plain,
( spl2_70
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1362,s5330,s8007,s8005,s7952,s8232,s8181,s3250,s7272,s7677,s47,s493,s7943,s8218,s377]) ).
cnf(s8234,plain,
( ~ spl2_504
| ~ spl2_206
| ~ spl2_386
| spl2_513
| ~ spl2_43
| spl2_22
| ~ spl2_9 ),
inference(rat,[],[s1194,s3288,s1410,s5187,s5475]) ).
cnf(s8235,plain,
( ~ spl2_224
| spl2_509
| ~ spl2_527
| ~ spl2_511
| spl2_504
| ~ spl2_184
| ~ spl2_221
| spl2_204
| ~ spl2_386
| ~ spl2_164
| spl2_513
| ~ spl2_175
| spl2_154
| ~ spl2_49
| ~ spl2_26
| ~ spl2_43
| spl2_188 ),
inference(rat,[],[s5121,s3283,s3208,s3517,s7167,s2305,s6808,s1253,s5133,s980,s977,s1103,s7282,s577,s4989,s3250,s1213]) ).
cnf(s8236,plain,
( ~ spl2_192
| spl2_513
| ~ spl2_175
| ~ spl2_70
| spl2_166
| spl2_154
| ~ spl2_49
| ~ spl2_26
| ~ spl2_43
| spl2_6
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s577,s4988,s7279,s3288,s4153,s1194,s3175,s1253,s2749,s980,s5651,s7011,s4868,s8235,s1246,s7389,s7965,s7961,s2731,s8234,s4947,s5097,s3084,s4447,s2678,s2754,s6899,s4422,s153,s4837,s1379,s439,s1463,s4830,s8150,s3250,s7677,s410,s377]) ).
cnf(s8237,plain,
( spl2_513
| ~ spl2_175
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2919,s1202,s8221,s8105,s1246,s7280,s6645,s8159,s4153,s5662,s3175,s2749,s980,s5651,s7011,s4868,s577,s8225,s3084,s4447,s6899,s4422,s3872,s623,s187,s1379,s2772,s544,s5580,s1361,s3289,s5468,s8226,s7257,s247,s7162,s3791,s8236,s8150,s3250,s7272,s7677,s7943,s47,s8218,s410,s377,s8233]) ).
cnf(s8238,plain,
( ~ spl2_164
| ~ spl2_86
| spl2_240
| ~ spl2_513
| ~ spl2_163
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8203,s1414,s187,s544,s3289,s2970,s8150,s3250,s7272]) ).
cnf(s8239,plain,
( ~ spl2_175
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1222,s6317,s4834,s2202,s6196,s4796,s5122,s5121,s3283,s7383,s3967,s4574,s5468,s4447,s7306,s7282,s4422,s58,s1361,s162,s5034,s2772,s378,s623,s8238,s7257,s7162,s3791,s8229,s3882,s8237,s4202,s1623,s113,s37,s8150,s3250,s7272,s2766,s410,s493,s7943,s8218,s377,s190,s8233]) ).
cnf(s8240,plain,
( spl2_492
| spl2_509
| ~ spl2_241
| ~ spl2_190
| spl2_175
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s1202,s2919,s2731,s8105,s7964,s7280,s3250,s7272]) ).
cnf(s8241,plain,
( spl2_166
| spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2182,s1236,s4574,s5122,s6317,s8240,s1246,s6645,s4153,s3872,s3175,s1312,s2749,s980,s4447,s5651,s2689,s7011,s4868,s603,s5330,s4706,s5580,s1554,s1362,s586,s8007,s8005,s7952,s8239,s989,s377,s8150,s3250,s7272,s7677,s47,s493,s7943,s8218]) ).
cnf(s8242,plain,
( ~ spl2_192
| ~ spl2_140
| ~ spl2_175
| ~ spl2_166
| spl2_154
| ~ spl2_26
| ~ spl2_43
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s8225,s5216,s3084,s4447,s2290,s603,s7158,s4422,s4837,s262,s1379,s439,s1463,s434,s4830,s8150]) ).
cnf(s8243,plain,
( spl2_224
| ~ spl2_86
| spl2_70
| ~ spl2_166
| spl2_154
| ~ spl2_43
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s187,s6883,s527,s4447,s7178,s5216,s8150,s3250]) ).
cnf(s8245,plain,
( spl2_1025
| ~ spl2_139
| spl2_513
| ~ spl2_175
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_205 ),
inference(rat,[],[s6196,s1480,s2479,s2736,s5122,s5121,s3283,s7383,s3967,s3250,s7272,s493,s7943]) ).
cnf(s8246,plain,
( spl2_70
| spl2_513
| ~ spl2_175
| ~ spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s577,s4989,s3289,s5423,s5468,s8245,s8243,s6795,s7149,s8242,s248,s7257,s247,s2654,s3790,s37,s3250,s7272,s7943,s410]) ).
cnf(s8247,plain,
( ~ spl2_192
| ~ spl2_175
| ~ spl2_166
| spl2_154
| ~ spl2_26
| ~ spl2_43
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s8225,s5216,s3084,s4447,s7158,s6899,s4422,s4837,s1379,s439,s1463,s4830,s8150]) ).
cnf(s8248,plain,
( ~ spl2_190
| ~ spl2_184
| ~ spl2_166
| ~ spl2_28 ),
inference(rat,[],[s4447,s2689,s5216,s603,s4989,s4706]) ).
cnf(s8249,plain,
( ~ spl2_164
| ~ spl2_213
| spl2_365
| spl2_108
| ~ spl2_500
| ~ spl2_86
| spl2_192
| spl2_517
| spl2_154
| ~ spl2_43
| spl2_161
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s1527,s7961,s5662,s4560,s4471,s527,s4648,s162,s187,s3631,s603,s7512,s2290,s410]) ).
cnf(s8250,plain,
( spl2_513
| ~ spl2_175
| ~ spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1410,s5475,s2919,s7366,s5608,s3288,s3872,s1273,s3874,s3110,s5484,s623,s8249,s7594,s6142,s1131,s3084,s577,s8248,s7247,s3289,s5491,s5468,s8245,s190,s8246,s2182,s8150,s47,s410,s4202,s1623,s562,s247,s7257,s3791,s8247,s7943,s3250,s7272]) ).
cnf(s8251,plain,
( spl2_70
| ~ spl2_513
| ~ spl2_175
| ~ spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s6196,s5133,s5498,s4574,s6138,s4219,s4447,s1414,s1326,s4422,s3631,s3874,s5484,s8230,s6795,s8243,s7149,s2654,s8150,s493,s7162,s410,s7257,s3791,s8247,s7943,s3250]) ).
cnf(s8252,plain,
( ~ spl2_164
| ~ spl2_221
| spl2_192
| ~ spl2_166
| spl2_154
| spl2_21
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s8248,s577,s7247,s3289,s5491,s2970,s4640,s7943,s47,s7162,s410]) ).
cnf(s8253,plain,
( spl2_77
| ~ spl2_70
| ~ spl2_513
| ~ spl2_166
| ~ spl2_191
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s6196,s5133,s5498,s4574,s5216,s4219,s4447,s7306,s1326,s4422,s58,s162,s5034,s113,s37,s8150,s190]) ).
cnf(s8254,plain,
( ~ spl2_175
| ~ spl2_166
| spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6171,s3283,s5498,s5344,s5342,s2119,s2958,s4957,s601,s1200,s527,s980,s4648,s187,s5656,s603,s8248,s7512,s2290,s7247,s3084,s3289,s5491,s8252,s2970,s4640,s378,s8253,s8251,s4211,s8250,s7257,s247,s7162,s562,s3791,s8247,s8150,s3250,s7272,s47,s410,s493,s7943]) ).
cnf(s8255,plain,
( spl2_154
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4447,s2689,s5216,s603,s5330,s4706,s1362,s586,s8007,s8005,s7952,s8254,s8241,s493,s3250,s7272,s7677,s7943,s47,s8218]) ).
cnf(s8256,plain,
( ~ spl2_192
| ~ spl2_180
| ~ spl2_175
| ~ spl2_1044
| spl2_499
| spl2_204
| ~ spl2_8
| ~ spl2_227
| spl2_77
| ~ spl2_163
| ~ spl2_154
| spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7166,s3043,s6139,s6647,s2006,s1967,s1976,s1194,s3288,s6349,s247,s7173,s3790,s3208,s2736,s4947,s6085,s6086,s6088,s1567,s3844,s5156,s6070,s6645,s3289,s1617,s3084,s2981,s1103,s3804,s1569,s2290,s5097,s1105,s2754,s3872,s4837,s1332,s8229,s1463,s8150,s3250,s7272]) ).
cnf(s8257,plain,
( ~ spl2_164
| spl2_513
| spl2_70
| ~ spl2_221
| ~ spl2_233
| spl2_176
| spl2_204
| spl2_264
| ~ spl2_154
| ~ spl2_43
| spl2_205 ),
inference(rat,[],[s6317,s3283,s6809,s6530,s3208,s2736,s3844,s6645,s1456,s7895,s1587,s3250,s1555,s7272]) ).
cnf(s8258,plain,
( ~ spl2_206
| ~ spl2_1025
| ~ spl2_227
| ~ spl2_154
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s5467,s7282,s1105,s5156,s3874]) ).
cnf(s8259,plain,
( ~ spl2_513
| ~ spl2_164
| ~ spl2_8
| spl2_100
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s8203,s1417]) ).
cnf(s8260,plain,
( ~ spl2_175
| spl2_499
| spl2_204
| ~ spl2_8
| ~ spl2_212
| spl2_77
| ~ spl2_163
| ~ spl2_154
| spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3288,s6349,s1470,s2479,s5196,s2736,s8259,s1567,s3844,s6645,s1456,s1569,s1587,s5484,s8258,s7247,s247,s5491,s562,s3791,s8256,s7383,s1555,s939,s3250,s7272,s47,s977,s4447,s4422,s4306,s2749,s8150]) ).
cnf(s8261,plain,
( ~ spl2_176
| ~ spl2_500
| spl2_206
| ~ spl2_178
| ~ spl2_241
| ~ spl2_192
| ~ spl2_221
| spl2_175
| spl2_166
| spl2_21
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s5122,s8240,s6612,s1246,s6964,s7014,s5330,s534,s7156,s2134,s4758,s1362,s3250,s7272,s377,s2368,s2654,s4947]) ).
cnf(s8262,plain,
( ~ spl2_192
| spl2_175
| spl2_204
| spl2_166
| ~ spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6349,s2479,s2063,s2736,s1567,s3844,s6645,s1569,s2981,s1555,s8261,s2182,s247,s8259,s3790,s623,s4947,s5199,s5156,s3289,s4583,s6179,s1105,s1857,s4977,s3872,s1332,s3250,s7272,s413,s4306,s977,s5656,s2749,s6199,s8150,s7952,s47]) ).
cnf(s8265,plain,
( ~ spl2_502
| ~ spl2_620
| ~ spl2_227
| ~ spl2_154
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s6645,s2302,s3844,s1410]) ).
cnf(s8266,plain,
( spl2_504
| ~ spl2_184
| ~ spl2_139
| ~ spl2_221
| spl2_175
| spl2_21
| spl2_188 ),
inference(rat,[],[s6349,s2401,s2479,s2061,s2063]) ).
cnf(s8269,plain,
( ~ spl2_700
| ~ spl2_490
| spl2_716
| spl2_792
| ~ spl2_520
| ~ spl2_184
| spl2_175
| spl2_205 ),
inference(rat,[],[s4586,s4776,s6647,s7281,s6132,s6129,s7272]) ).
cnf(s8270,plain,
( spl2_166
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2851,s3202,s6517,s7166,s8269,s4796,s2119,s8105,s3288,s7280,s6349,s6317,s6087,s6089,s6086,s1567,s7388,s1554,s6070,s6645,s7279,s7472,s2859,s623,s1798,s6138,s1418,s8259,s4574,s4576,s1417,s3882,s2736,s8265,s5503,s3880,s8266,s6179,s247,s7468,s562,s3791,s8262,s7952,s8260,s4447,s1269,s2678,s4422,s153,s5656,s977,s4306,s2749,s6199,s413,s377,s8150,s3250,s7272,s7677,s47,s8218,s8255]) ).
cnf(s8271,plain,
( ~ spl2_192
| ~ spl2_175
| ~ spl2_166
| ~ spl2_26
| ~ spl2_43
| spl2_6
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s1362,s1587,s5330,s7394,s3289,s5216,s429,s3084,s909,s6514,s4447,s2678,s2290,s603,s1326,s4422,s153,s4837,s143,s439,s1463,s431,s8150,s3250]) ).
cnf(s8272,plain,
( ~ spl2_164
| spl2_458
| spl2_587
| ~ spl2_8
| ~ spl2_166
| spl2_22 ),
inference(rat,[],[s1560,s1650,s1362,s1564,s3289,s909,s2290,s1329]) ).
cnf(s8273,plain,
( ~ spl2_472
| ~ spl2_490
| ~ spl2_179
| ~ spl2_186
| ~ spl2_500
| spl2_161
| spl2_188 ),
inference(rat,[],[s5467,s7383,s1207,s5553,s4956]) ).
cnf(s8274,plain,
( ~ spl2_700
| ~ spl2_779
| ~ spl2_520
| spl2_792
| spl2_804
| spl2_204
| ~ spl2_191
| spl2_188 ),
inference(rat,[],[s7621,s6642,s7281,s6092,s6129]) ).
cnf(s8275,plain,
( ~ spl2_8
| spl2_70
| ~ spl2_221
| spl2_513
| ~ spl2_175
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2851,s3202,s6517,s7166,s8274,s7490,s6196,s2479,s2736,s5121,s2285,s5041,s2922,s5122,s3283,s6646,s7383,s3967,s4328,s8258,s977,s2751,s8273,s2678,s153,s3288,s7282,s3631,s1273,s5156,s3874,s3110,s5484,s623,s8272,s5330,s5519,s5216,s6514,s4447,s1329,s2689,s8150,s3250,s7677,s8255,s247,s3791,s8271,s8270,s7943,s8218,s7272,s1256,s2182]) ).
cnf(s8276,plain,
( spl2_8
| spl2_513
| ~ spl2_544
| ~ spl2_154
| ~ spl2_26
| ~ spl2_43
| spl2_161
| ~ spl2_9 ),
inference(rat,[],[s5503,s1793,s2731,s4956,s517,s2736,s2751,s143,s4627,s5656,s603,s2182]) ).
cnf(s8277,plain,
( ~ spl2_221
| spl2_513
| ~ spl2_175
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5484,s8258,s8272,s7383,s977,s5330,s939,s2749,s6185,s8275,s3250,s7272,s6514,s1329,s5519,s5216,s4447,s2689,s8276,s1327,s8255,s7943,s8218,s7677,s8150,s8270]) ).
cnf(s8278,plain,
( spl2_513
| ~ spl2_175
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8258,s7383,s977,s939,s2749,s5484,s6185,s2290,s4243,s3084,s8277,s6514,s1329,s8276,s8150,s7677,s8255,s1327,s562,s8271,s8270,s7943,s8218,s7272]) ).
cnf(s8279,plain,
( ~ spl2_8
| ~ spl2_513
| ~ spl2_166
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s6196,s5133,s5498,s4574,s5216,s6138,s4219,s6514,s4447,s1417,s1329,s2689]) ).
cnf(s8280,plain,
( ~ spl2_221
| ~ spl2_458
| ~ spl2_178
| ~ spl2_1065
| ~ spl2_224
| ~ spl2_234
| ~ spl2_371
| spl2_204
| ~ spl2_264
| ~ spl2_7
| ~ spl2_233
| ~ spl2_166
| ~ spl2_485
| spl2_21
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7737,s2283,s6647,s6135,s6077,s6642,s6606,s8112,s1985,s2920,s7463,s4304,s193,s7399,s3282,s4245,s6514,s5330,s8150,s3250,s7272]) ).
cnf(s8281,plain,
( ~ spl2_504
| ~ spl2_234
| ~ spl2_501
| spl2_527
| ~ spl2_1040
| ~ spl2_485
| ~ spl2_43
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s2958,s5342,s4957,s6644,s1202,s6194]) ).
cnf(s8282,plain,
( ~ spl2_175
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5503,s7193,s1527,s8281,s4202,s1641,s3372,s1098,s6185,s4243,s8280,s7594,s1128,s1362,s1564,s5553,s3289,s3285,s5467,s5491,s5519,s2981,s4640,s7011,s3125,s5484,s4153,s601,s3874,s517,s4560,s6807,s2749,s2751,s143,s4648,s4749,s2678,s5656,s603,s804,s8279,s4211,s8278,s562,s8271,s8150,s3250,s7272,s7677,s7943,s47,s8218,s2133,s8255,s1327,s8270]) ).
cnf(s8283,plain,
( ~ spl2_264
| ~ spl2_139
| ~ spl2_186
| spl2_513
| spl2_175
| ~ spl2_544
| ~ spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4977,s6179,s8118,s8266,s2479,s7410,s6840,s1660,s4151,s6259,s2134,s4153,s4458,s2981,s1555,s5553,s4956,s2749,s2751,s8150,s7272,s427,s7952,s47,s2182]) ).
cnf(s8284,plain,
( ~ spl2_176
| spl2_70
| ~ spl2_186
| spl2_458
| ~ spl2_191
| spl2_175
| ~ spl2_166
| ~ spl2_26
| ~ spl2_43
| spl2_161
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s3874,s5199,s7158,s6806,s7470,s8248,s1362,s586,s8150]) ).
cnf(s8285,plain,
( spl2_700
| spl2_715
| spl2_70
| spl2_499
| ~ spl2_8
| spl2_21
| ~ spl2_43
| ~ spl2_28 ),
inference(rat,[],[s2851,s3202,s6517,s7166]) ).
cnf(s8286,plain,
( spl2_70
| spl2_499
| spl2_513
| spl2_175
| ~ spl2_166
| ~ spl2_154
| spl2_21
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2242,s4344,s3202,s6647,s2255,s6132,s6092,s8285,s4978,s3073,s6502,s7278,s4351,s5342,s7588,s6850,s6644,s4385,s2334,s8265,s3844,s1410,s5475,s8266,s6806,s5199,s8258,s7383,s8284,s977,s8283,s247,s3790,s5047,s623,s8272,s5519,s5330,s6514,s1329,s5216,s4447,s2689,s7952,s47,s8276,s1327,s7943,s8150,s3250,s7272]) ).
cnf(s8287,plain,
( ~ spl2_176
| ~ spl2_8
| spl2_175
| ~ spl2_166
| ~ spl2_49
| ~ spl2_26
| ~ spl2_43
| spl2_161
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s5199,s3874,s7468,s7158,s6179,s7470,s8248,s1362,s586,s8150,s623,s8272,s5519,s5330,s6514,s1329,s5216,s4447,s2689,s7952,s3250]) ).
cnf(s8288,plain,
( spl2_513
| ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5503,s8265,s3880,s5475,s8266,s6179,s247,s7468,s3791,s5199,s8258,s7383,s8287,s977,s2749,s6185,s8286,s623,s8272,s5519,s5330,s5216,s6514,s4447,s1329,s2689,s1256,s8276,s2182,s8150,s3250,s7272,s7943,s8255,s1327,s8270,s7952,s8282,s7677,s47,s8218]) ).
cnf(s8289,plain,
( ~ spl2_43
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8266,s6179,s247,s8281,s7468,s3791,s601,s431,s517,s143,s4648,s4749,s603,s8279,s4211,s8288,s7952,s8282,s8270,s2133,s8255,s47,s7943,s8218,s8150,s7272,s7677]) ).
cnf(s8290,plain,
( ~ spl2_221
| spl2_154
| ~ spl2_8
| spl2_513
| ~ spl2_175
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6104,s2152,s4788,s2202,s2085,s2160,s6612,s4561,s5122,s6218,s2401,s3283,s6646,s7383,s3967,s4328,s5468,s4313,s7282,s3288,s1361,s1214,s1273,s2772,s3110,s378,s623,s3367,s562,s1463,s4699,s8150,s3250,s7272,s7677,s247,s34,s377,s2182,s3241,s2689,s3220,s2654,s3615,s6114,s8289,s2766,s410,s4202,s1623]) ).
cnf(s8291,plain,
( spl2_154
| ~ spl2_8
| spl2_513
| ~ spl2_175
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5133,s4812,s4868,s5608,s5694,s7383,s1555,s4407,s8051,s4798,s6196,s8047,s4805,s1229,s6318,s5473,s4834,s7381,s7282,s3288,s1361,s1273,s2772,s3110,s623,s2290,s1131,s3084,s2738,s8290,s113,s37,s8150,s3250,s7272,s7677,s3209,s247,s34,s377,s4447,s3241,s2689,s3220,s2654,s3615,s6114,s8289]) ).
cnf(s8292,plain,
( ~ spl2_186
| ~ spl2_472
| spl2_513
| ~ spl2_175
| ~ spl2_163
| spl2_161
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s8273,s7282,s3288,s1361,s1273,s2772,s3110,s3250,s2182]) ).
cnf(s8293,plain,
( ~ spl2_8
| spl2_513
| ~ spl2_175
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4805,s4798,s7147,s5097,s623,s8292,s6177,s418,s2133,s8291,s191,s2654,s3615,s3241,s4447,s6114,s2689,s8150,s3250,s7272,s7677,s3220,s8289,s377]) ).
cnf(s8294,plain,
( spl2_154
| spl2_219
| ~ spl2_492
| ~ spl2_179
| ~ spl2_1040
| ~ spl2_733
| spl2_526
| ~ spl2_175
| ~ spl2_139
| spl2_161 ),
inference(rat,[],[s6102,s1289,s6957,s5473,s2085,s410]) ).
cnf(s8295,plain,
( spl2_513
| ~ spl2_175
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6280,s601,s418,s2958,s7177,s2152,s193,s413,s8294,s1128,s6856,s3288,s1470,s6218,s3283,s5344,s7570,s4119,s7282,s3445,s5580,s6851,s5503,s6644,s6645,s1379,s4560,s7389,s6612,s6807,s4648,s4749,s2678,s603,s804,s8293,s2182,s8150,s3250,s7272,s7677,s3220,s247,s34,s8289,s377]) ).
cnf(s8296,plain,
( ~ spl2_8
| ~ spl2_513
| spl2_43
| ~ spl2_28 ),
inference(rat,[],[s3207,s4788,s1445,s2654,s4574,s6112,s3676,s3615,s3241,s4447,s1417,s6114,s2689,s3220]) ).
cnf(s8297,plain,
( spl2_154
| ~ spl2_179
| ~ spl2_263
| ~ spl2_501
| spl2_204
| spl2_510
| ~ spl2_1040
| ~ spl2_175
| ~ spl2_163
| ~ spl2_11
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s1128,s8294,s4636,s3283,s2152,s5344,s6102,s7570,s6957,s6644,s1246,s1201,s410,s3250,s7272]) ).
cnf(s8298,plain,
( ~ spl2_175
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7498,s2975,s565,s601,s496,s997,s6280,s745,s418,s195,s7177,s4629,s193,s413,s8297,s7282,s5580,s1379,s6807,s980,s4648,s4706,s2678,s5656,s603,s804,s8296,s3882,s4211,s8295,s37,s8150,s7272,s7677,s3220,s247,s6,s34,s8289,s377]) ).
cnf(s8299,plain,
( ~ spl2_192
| ~ spl2_8
| spl2_154
| spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2094,s7520,s2202,s7189,s4796,s4503,s8080,s4868,s4406,s7381,s4313,s4989,s3288,s6179,s1216,s1272,s4977,s2760,s8050,s980,s1718,s2134,s2738,s4758,s4947,s113,s37,s3209,s2766,s1362,s1346,s1770,s8187,s3241,s2689,s623,s7277,s7049,s100,s191,s2654,s3615,s6114,s8150,s6840,s8197,s4202,s1628,s1668,s1564,s5518,s8007,s410,s247,s34,s7677,s3220,s8289,s377,s8005,s3250,s7272,s8298]) ).
cnf(s8300,plain,
( ~ spl2_8
| spl2_154
| spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6102,s6851,s6957,s7389,s8071,s6644,s5133,s4503,s8103,s8099,s8054,s926,s6179,s4407,s5272,s4989,s4448,s2134,s4868,s1718,s5651,s8053,s4244,s562,s8299,s7277,s623,s7049,s100,s191,s2654,s3615,s3241,s6114,s2689,s113,s37,s8150,s3220,s3209,s377,s6840,s8197,s4202,s1628,s1668,s1564,s5518,s8005,s8007,s3250,s7272,s410,s247,s34,s8289,s8298,s7677]) ).
cnf(s8301,plain,
( spl2_154
| spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2654,s5399,s193,s143,s603,s8300,s6840,s8197,s4202,s1628,s1668,s1564,s535,s5518,s8007,s8005,s410,s113,s37,s8150,s3250,s7272,s7677,s247,s34,s8289,s377,s8298]) ).
cnf(s8302,plain,
( ~ spl2_192
| ~ spl2_8
| spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8240,s3872,s6277,s8096,s1246,s7388,s5580,s849,s6645,s7279,s811,s4393,s4448,s926,s4501,s8061,s6099,s6109,s2738,s8090,s4947,s113,s37,s247,s34,s377,s6851,s4956,s2182,s8187,s3241,s2689,s7677,s1555,s5553,s623,s7049,s418,s191,s2654,s3615,s6114,s3250,s8298,s3220,s8289,s6177,s2133,s8301,s8150,s7272]) ).
cnf(s8303,plain,
( spl2_178
| ~ spl2_371
| spl2_192
| ~ spl2_186
| ~ spl2_70
| ~ spl2_21
| ~ spl2_1040
| ~ spl2_472
| spl2_513
| spl2_175
| ~ spl2_16
| spl2_161
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s926,s5272,s8071,s2749,s4503,s977,s6104,s4385,s6099,s4560,s6856,s3288,s2134,s3445,s8273,s4250,s7279,s7282,s113,s37,s8150,s3250,s5503,s4956,s2182]) ).
cnf(s8304,plain,
( ~ spl2_191
| ~ spl2_8
| spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2302,s8113,s2152,s8096,s977,s8116,s4448,s2749,s849,s5324,s6185,s811,s247,s34,s377,s413,s5503,s1555,s7498,s5491,s7383,s5553,s8303,s4244,s8302,s623,s7049,s418,s191,s3250,s2654,s3615,s6114,s3241,s2689,s6851,s4956,s2182,s6177,s2133,s8301,s8150,s8298,s3220,s8289,s7677,s7272]) ).
cnf(s8305,plain,
( ~ spl2_8
| spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6645,s8078,s2981,s2134,s8118,s561,s7154,s6109,s6321,s1098,s926,s8304,s7498,s4244,s8302,s1555,s5553,s623,s7049,s418,s191,s2654,s3615,s6114,s113,s37,s3250,s7272,s3220,s8289,s377,s8298,s5503,s4956,s6177,s2133,s8301,s8150,s2182,s7677]) ).
cnf(s8306,plain,
( spl2_513
| spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4250,s997,s6280,s537,s418,s7177,s174,s193,s2678,s603,s804,s8305,s413,s8301,s37,s8150,s7272,s7677,s3220,s8289,s377,s8298]) ).
cnf(s8307,plain,
( spl2_154
| ~ spl2_371
| ~ spl2_263
| spl2_175
| ~ spl2_163
| ~ spl2_139
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s5580,s1333,s8007,s3250]) ).
cnf(s8308,plain,
( spl2_166
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4250,s997,s6280,s537,s418,s7177,s174,s193,s413,s8307,s6807,s980,s2678,s5656,s603,s804,s8296,s8306,s8298,s377,s37,s8150,s7272,s7677,s3220,s247,s34,s8289]) ).
cnf(s8309,plain,
( ~ spl2_192
| ~ spl2_191
| ~ spl2_91
| spl2_502
| ~ spl2_501
| spl2_527
| ~ spl2_100
| spl2_154
| spl2_513
| ~ spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s4526,s6092,s6647,s4786,s3043,s5302,s3044,s5589,s7220,s4548,s4813,s7542,s1445,s7929,s7282,s4005,s7278,s2033,s2134,s2479,s5390,s4532,s1776,s6196,s1976,s2066,s1480,s1120,s6840,s4636,s162,s430,s3250,s7272,s2182,s1623,s2749,s5733,s4305,s2920,s4306,s1985,s4304]) ).
cnf(s8310,plain,
( spl2_70
| spl2_154
| spl2_513
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7149,s577,s4798,s3289,s5423,s5468,s7383,s565,s6795,s8309,s745,s499,s134,s195,s5399,s174,s4629,s2654,s113,s37,s3250,s7272,s7677,s247,s34,s410,s7496,s5649,s4305,s3631,s7399,s4749,s4706,s4648,s4627,s603,s1329,s4593,s3220,s8289,s8308,s8150]) ).
cnf(s8311,plain,
( ~ spl2_192
| ~ spl2_1213
| ~ spl2_787
| ~ spl2_702
| ~ spl2_698
| ~ spl2_70
| spl2_502
| spl2_206
| ~ spl2_175
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s7381,s3288,s4796,s3075,s1445,s4548,s3044,s4723,s6646,s7587,s2738,s4947,s1463,s3250,s7272]) ).
cnf(s8312,plain,
( spl2_154
| spl2_513
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3288,s1476,s1470,s3289,s5196,s5468,s562,s8311,s7231,s5781,s7220,s4813,s7929,s7278,s4532,s1976,s1480,s4640,s6840,s642,s193,s190,s8310,s4627,s4648,s4749,s3874,s1985,s603,s3631,s4304,s1329,s7399,s1623,s4593,s7496,s410,s113,s37,s8150,s3250,s7272,s3220,s247,s34,s8289,s8308,s2182]) ).
cnf(s8313,plain,
( ~ spl2_8
| ~ spl2_154
| ~ spl2_166
| spl2_43
| ~ spl2_28 ),
inference(rat,[],[s6185,s4448,s2654,s5216,s6514,s3615,s3241,s4447,s1329,s6114,s2689,s3220]) ).
cnf(s8314,plain,
( ~ spl2_192
| spl2_804
| ~ spl2_100
| ~ spl2_15
| ~ spl2_620
| spl2_212
| spl2_502
| ~ spl2_501
| ~ spl2_154
| spl2_513
| ~ spl2_175
| ~ spl2_139
| spl2_205
| ~ spl2_9 ),
inference(rat,[],[s6647,s3043,s4526,s3044,s6135,s7220,s4548,s4813,s1445,s7929,s3075,s7278,s3288,s4532,s1470,s1976,s1633,s2970,s4119,s6840,s4636,s7282,s642,s162,s2041,s430,s3250,s7272,s2182,s2133,s1985,s4304]) ).
cnf(s8315,plain,
( ~ spl2_21
| spl2_192
| ~ spl2_85
| ~ spl2_25
| spl2_183
| ~ spl2_57
| ~ spl2_175
| ~ spl2_9 ),
inference(rat,[],[s144,s587,s4751]) ).
cnf(s8317,plain,
( spl2_186
| spl2_497
| ~ spl2_179
| spl2_21
| spl2_1064
| ~ spl2_233
| ~ spl2_100
| spl2_541
| spl2_204
| spl2_513
| ~ spl2_139
| spl2_22
| ~ spl2_9 ),
inference(rat,[],[s6840,s2479,s162,s6349,s516,s5423,s3288,s5470,s4640,s6975,s1128,s623,s1120]) ).
cnf(s8318,plain,
( ~ spl2_179
| spl2_21
| spl2_1064
| ~ spl2_233
| ~ spl2_100
| spl2_579
| ~ spl2_472
| spl2_541
| spl2_204
| spl2_513
| ~ spl2_139
| spl2_161
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s3288,s8273,s6856,s8317,s4119,s3250,s5503,s4956,s2182]) ).
cnf(s8319,plain,
( spl2_70
| spl2_513
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3288,s6349,s6975,s5423,s2479,s5196,s1120,s4640,s6840,s4636,s642,s162,s516,s534,s3289,s8318,s7149,s8315,s6795,s562,s8314,s2920,s745,s4304,s195,s7038,s7177,s4629,s2654,s37,s3220,s247,s34,s3286,s3250,s7272,s4807,s4706,s3542,s4627,s2749,s4560,s4648,s603,s6807,s2678,s804,s5503,s4956,s2751,s5656,s8313,s8308,s8289,s8150,s8312,s2182,s7677]) ).
cnf(s8320,plain,
( spl2_513
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6349,s3288,s7247,s1472,s5491,s2118,s8314,s47,s2920,s1445,s6886,s4751,s4304,s4796,s3861,s1368,s4640,s1810,s7399,s7154,s378,s4472,s6514,s926,s193,s6185,s8319,s5503,s4956,s2751,s2749,s4627,s3542,s4648,s5656,s3286,s603,s8313,s8312,s2182,s113,s37,s8150,s3250,s7272,s7677,s247,s34,s8289,s8308]) ).
cnf(s8323,plain,
( ~ spl2_700
| spl2_506
| ~ spl2_1046
| ~ spl2_569
| ~ spl2_240
| ~ spl2_192
| ~ spl2_191
| spl2_715
| spl2_804
| spl2_716
| spl2_205 ),
inference(rat,[],[s3043,s6647,s5347,s4526,s7281,s6092,s6101,s7272]) ).
cnf(s8324,plain,
( spl2_503
| ~ spl2_1064
| ~ spl2_21
| ~ spl2_240
| ~ spl2_192
| ~ spl2_191
| ~ spl2_25
| spl2_715
| spl2_804
| ~ spl2_151
| spl2_541
| spl2_716
| spl2_527
| spl2_204
| ~ spl2_1040
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6601,s7478,s6642,s3043,s6078,s6647,s7281,s7371,s5632,s7231,s8323,s1213,s4788,s6381,s6784,s5390,s6196,s5498,s6957,s6102,s1445,s7272]) ).
cnf(s8325,plain,
( ~ spl2_21
| ~ spl2_240
| ~ spl2_164
| ~ spl2_192
| ~ spl2_191
| ~ spl2_25
| spl2_715
| spl2_804
| ~ spl2_151
| spl2_502
| spl2_541
| spl2_716
| spl2_527
| spl2_183
| spl2_204
| ~ spl2_1040
| ~ spl2_175
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6196,s5098,s1229,s1470,s3288,s3075,s8324,s5423,s4407,s4798,s3250,s7272,s4640]) ).
cnf(s8326,plain,
( spl2_520
| spl2_21
| ~ spl2_240
| ~ spl2_192
| ~ spl2_191
| spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_499
| spl2_204
| ~ spl2_175
| ~ spl2_139
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s7281,s2945,s5632,s7166,s8219,s7380,s7280,s1289,s7494,s2479,s5390,s7272,s2654]) ).
cnf(s8327,plain,
( ~ spl2_179
| ~ spl2_164
| ~ spl2_77
| ~ spl2_192
| ~ spl2_191
| spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_154
| spl2_502
| spl2_541
| spl2_716
| spl2_527
| spl2_183
| spl2_499
| spl2_204
| ~ spl2_1040
| ~ spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s7007,s7280,s4471,s7570,s8294,s2085,s6644,s6196,s8326,s8325,s2970,s7272,s410,s2654,s1128,s4636]) ).
cnf(s8328,plain,
( spl2_520
| ~ spl2_225
| ~ spl2_234
| ~ spl2_178
| ~ spl2_192
| spl2_502
| spl2_527
| spl2_204
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6644,s6959,s1476,s3075,s3288,s7381,s1500,s3250,s7272]) ).
cnf(s8329,plain,
( ~ spl2_21
| ~ spl2_504
| ~ spl2_733
| ~ spl2_520
| ~ spl2_234
| spl2_186
| ~ spl2_192
| spl2_502
| spl2_541
| spl2_183
| ~ spl2_57
| ~ spl2_175
| spl2_22
| ~ spl2_9 ),
inference(rat,[],[s3288,s6607,s3075,s4812,s2958,s4788,s6721,s1368,s4407,s4798,s4751]) ).
cnf(s8330,plain,
( ~ spl2_700
| ~ spl2_184
| ~ spl2_490
| ~ spl2_503
| ~ spl2_234
| spl2_221
| ~ spl2_77
| ~ spl2_191
| spl2_715
| spl2_804
| spl2_154
| spl2_716
| spl2_204
| spl2_205 ),
inference(rat,[],[s3044,s2945,s7220,s7281,s4813,s4776,s7923,s6997,s7382,s6642,s6647,s6092,s6132,s7272]) ).
cnf(s8331,plain,
( spl2_700
| spl2_21
| ~ spl2_225
| ~ spl2_192
| spl2_70
| spl2_715
| spl2_499
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6647,s3043,s7375,s7166]) ).
cnf(s8332,plain,
( ~ spl2_192
| spl2_70
| spl2_154
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6647,s7737,s3043,s4776,s3044,s7281,s7220,s6101,s4813,s4812,s7923,s6997,s4407,s6642,s8330,s6092,s8331,s6607,s3288,s3075,s6102,s8329,s6957,s2085,s6644,s6196,s8328,s2738,s601,s577,s2033,s3289,s8327,s4636,s642,s162,s430,s247,s34,s4211,s3286,s1269,s4807,s4749,s4706,s3543,s3542,s4627,s603,s2749,s410,s7496,s7463,s6807,s2678,s804,s2920,s5656,s8279,s8320,s7677,s1985,s4304,s7399,s4593,s3220,s8289,s8308,s8150,s5399,s2654,s113,s499,s174,s37,s3250,s7272]) ).
cnf(s8333,plain,
( spl2_70
| spl2_154
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5468,s7282,s7383,s577,s565,s7149,s8315,s8332,s745,s499,s195,s5399,s174,s4629,s2654,s113,s37,s8150,s3286,s3250,s7272,s4807,s4706,s603,s8279,s8320,s8308,s7677,s410]) ).
cnf(s8334,plain,
( ~ spl2_1059
| ~ spl2_696
| spl2_700
| spl2_221
| spl2_1032
| spl2_188
| ~ spl2_20 ),
inference(rat,[],[s6158,s7281,s3283,s5632,s7380,s3250]) ).
cnf(s8335,plain,
( ~ spl2_21
| spl2_185
| ~ spl2_191
| spl2_221
| ~ spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_8
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6721,s6644,s2958,s1368,s6196,s4796,s5390,s8334,s6647,s7375,s8048,s5056,s849,s4751,s4749,s4627,s603,s8150,s6636,s3286,s3250,s7272,s2738,s5490,s5477,s113,s37,s601]) ).
cnf(s8336,plain,
( ~ spl2_191
| spl2_221
| ~ spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_154
| spl2_212
| spl2_8
| ~ spl2_1040
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6957,s6644,s6102,s6196,s4796,s5390,s8334,s6647,s7375,s8048,s5056,s789,s7943,s8335,s5272,s7272,s4749,s570,s4627,s603,s8150,s410,s2738,s5490,s5477,s113,s37]) ).
cnf(s8337,plain,
( ~ spl2_700
| spl2_504
| ~ spl2_1046
| ~ spl2_70
| spl2_715
| spl2_716
| spl2_188 ),
inference(rat,[],[s7281,s7953,s6101,s5781]) ).
cnf(s8338,plain,
( ~ spl2_192
| ~ spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_154
| spl2_204
| spl2_8
| ~ spl2_1040
| ~ spl2_175
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6077,s6642,s6647,s7175,s7375,s7231,s8337,s4788,s4812,s6607,s3288,s1476,s5498,s6957,s6102,s4796,s8328,s601,s4407,s2033,s4798,s3289,s7943,s6318,s493,s8336,s2738,s4947,s113,s37,s3250,s7272,s4807,s4749,s3543,s3542,s4627,s2749,s5656,s3874,s6807,s410,s4636,s193,s603,s8150]) ).
cnf(s8339,plain,
( ~ spl2_191
| ~ spl2_21
| ~ spl2_463
| ~ spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_154
| spl2_212
| spl2_8
| ~ spl2_1040
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4858,s8336]) ).
cnf(s8340,plain,
( ~ spl2_1213
| spl2_191
| ~ spl2_1064
| ~ spl2_178
| spl2_804
| spl2_204
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6077,s6647,s6642,s7371,s7175]) ).
cnf(s8341,plain,
( ~ spl2_1049
| ~ spl2_178
| ~ spl2_1065
| spl2_804
| spl2_154
| spl2_204
| spl2_205 ),
inference(rat,[],[s6077,s6647,s6642,s7606,s7923]) ).
cnf(s8342,plain,
( ~ spl2_21
| ~ spl2_1213
| ~ spl2_178
| ~ spl2_1025
| ~ spl2_70
| spl2_715
| spl2_804
| spl2_1032
| spl2_154
| spl2_212
| spl2_204
| spl2_8
| ~ spl2_1040
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8340,s5423,s8339,s4798,s113,s37,s4807,s603,s1361]) ).
cnf(s8343,plain,
( spl2_154
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8336,s493,s8252,s7943,s8342,s7231,s5781,s4813,s8341,s3289,s5491,s5468,s8338,s4640,s642,s190,s8333,s1985,s2920,s7463,s4304,s7399,s4593,s7496,s410,s3250,s7272,s3220,s8289,s4211,s2749,s5656,s8150,s6807,s2678,s804,s8279,s8320,s8308,s7677]) ).
cnf(s8344,plain,
( ~ spl2_21
| ~ spl2_370
| ~ spl2_154
| spl2_211
| spl2_183
| ~ spl2_175 ),
inference(rat,[],[s4406,s7174,s5684,s4798]) ).
cnf(s8345,plain,
( ~ spl2_191
| spl2_21
| ~ spl2_240
| ~ spl2_179
| ~ spl2_192
| spl2_715
| spl2_804
| spl2_1032
| spl2_70
| ~ spl2_154
| ~ spl2_388
| spl2_502
| spl2_527
| spl2_183
| spl2_499
| spl2_204
| ~ spl2_1040
| ~ spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6424,s2285,s7278,s6646,s4548,s7581,s3044,s7009,s3512,s3043,s4932,s6647,s4526,s6642,s6092,s8331,s1555,s2738,s2023,s6317,s601,s6382,s2958,s6102,s1445,s3283,s3075,s5344,s3288,s7570,s5342,s1229,s6644,s6196,s8326,s3250,s7272,s1463,s47]) ).
cnf(s8346,plain,
( spl2_520
| ~ spl2_482
| ~ spl2_235
| spl2_21
| ~ spl2_25
| spl2_502
| spl2_204
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6850,s4005,s7154,s7494]) ).
cnf(s8347,plain,
( ~ spl2_695
| ~ spl2_526
| ~ spl2_490
| ~ spl2_240
| ~ spl2_77
| spl2_804
| spl2_188 ),
inference(rat,[],[s7281,s6078,s4776,s4526,s7737]) ).
cnf(s8348,plain,
( ~ spl2_192
| spl2_70
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7166,s3043,s6139,s6647,s8347,s1229,s3288,s6349,s8346,s2738,s2134,s7165,s6318,s7156,s926,s8345,s8344,s2976,s2970,s4636,s7282,s642,s162,s2041,s430,s113,s37,s3250,s7272,s247,s34,s4211,s1269,s4807,s4749,s3542,s570,s4627,s603,s2749,s1379,s8343,s7177,s3220,s7463,s6807,s2678,s804,s2920,s5656,s8279,s8320,s8308,s7677,s1985,s4304,s7038,s2654,s8289,s8150]) ).
cnf(s8349,plain,
( spl2_520
| ~ spl2_714
| spl2_700
| spl2_21
| spl2_715
| ~ spl2_25
| spl2_204
| spl2_188
| ~ spl2_20 ),
inference(rat,[],[s7281,s2945,s5632,s7494,s5390]) ).
cnf(s8350,plain,
( ~ spl2_191
| ~ spl2_179
| spl2_21
| spl2_192
| spl2_715
| spl2_804
| spl2_1032
| ~ spl2_85
| ~ spl2_100
| ~ spl2_15
| spl2_70
| spl2_541
| spl2_190
| spl2_527
| spl2_499
| spl2_204
| ~ spl2_175
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s3288,s1229,s6349,s6196,s8349,s7166,s8219,s2970,s642,s516,s601,s2975,s5423,s7498,s7383,s565,s3250,s7272,s6795,s2654,s4243,s562]) ).
cnf(s8351,plain,
( ~ spl2_179
| spl2_21
| spl2_192
| spl2_715
| spl2_804
| spl2_1032
| ~ spl2_85
| ~ spl2_100
| ~ spl2_15
| spl2_70
| ~ spl2_485
| spl2_502
| spl2_541
| spl2_190
| spl2_527
| spl2_499
| spl2_204
| ~ spl2_175
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6194,s5196,s1229,s1470,s3288,s6349,s5423,s2970,s4640,s642,s8346,s516,s2134,s7156,s926,s8350,s3250,s7272,s562,s6795,s2654]) ).
cnf(s8352,plain,
( ~ spl2_700
| ~ spl2_779
| ~ spl2_503
| ~ spl2_191
| ~ spl2_184
| spl2_186
| ~ spl2_233
| spl2_715
| spl2_804
| spl2_716
| spl2_204
| spl2_205 ),
inference(rat,[],[s2945,s2281,s7281,s1999,s7621,s6647,s6642,s6132,s6092,s7272]) ).
cnf(s8353,plain,
( spl2_520
| ~ spl2_191
| ~ spl2_184
| spl2_186
| spl2_21
| ~ spl2_233
| spl2_715
| spl2_804
| spl2_70
| ~ spl2_485
| spl2_716
| spl2_527
| spl2_499
| spl2_204
| ~ spl2_139
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s8349,s7166,s8352,s7588,s6644,s6194,s7494,s2479,s7272,s2654]) ).
cnf(s8354,plain,
( ~ spl2_191
| ~ spl2_184
| spl2_186
| ~ spl2_482
| spl2_21
| spl2_192
| spl2_715
| spl2_804
| ~ spl2_85
| spl2_70
| ~ spl2_485
| spl2_502
| spl2_541
| spl2_716
| spl2_190
| spl2_527
| spl2_499
| spl2_204
| ~ spl2_544
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s4005,s2119,s1207,s6607,s3288,s6349,s8353,s2981,s1555,s565,s3250,s7272,s562]) ).
cnf(s8355,plain,
( ~ spl2_695
| ~ spl2_490
| spl2_186
| ~ spl2_77
| ~ spl2_233
| spl2_715
| spl2_188 ),
inference(rat,[],[s2945,s7281,s2281,s4776,s1999,s7737,s2119,s6607]) ).
cnf(s8356,plain,
( spl2_70
| ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6642,s6606,s6077,s6139,s6647,s8355,s3288,s6349,s8346,s3282,s926,s8354,s5423,s4640,s4636,s642,s162,s516,s2134,s534,s3289,s8351,s4243,s8315,s6795,s562,s8348,s1985,s2920,s7463,s745,s4304,s195,s7038,s7177,s4629,s2654,s113,s37,s3220,s247,s34,s8289,s1327,s3286,s3250,s7272,s5656,s1269,s4807,s4749,s4706,s3543,s3542,s4627,s603,s8150,s6807,s2678,s804,s8279,s8320,s8308,s7677,s2133,s8343]) ).
cnf(s8357,plain,
( ~ spl2_192
| ~ spl2_70
| ~ spl2_154
| spl2_206
| spl2_212
| spl2_188
| ~ spl2_20 ),
inference(rat,[],[s2738,s8061,s4947]) ).
cnf(s8358,plain,
( ~ spl2_21
| ~ spl2_1065
| ~ spl2_549
| ~ spl2_233
| spl2_715
| spl2_804
| ~ spl2_1025
| spl2_191
| ~ spl2_70
| ~ spl2_154
| spl2_502
| spl2_211
| spl2_183
| spl2_204
| ~ spl2_57
| ~ spl2_1040
| ~ spl2_175
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2285,s6424,s3283,s3288,s7278,s5344,s1472,s5269,s2119,s1445,s8071,s2134,s7030,s6077,s6646,s6647,s4512,s7606,s2281,s2242,s4813,s4299,s5345,s5781,s7231,s8340,s3289,s5467,s5056,s5423,s8344,s849,s4798,s4751,s8150,s3250,s7272,s6636,s926,s5490,s5482,s113,s37]) ).
cnf(s8360,plain,
( spl2_520
| spl2_21
| spl2_191
| ~ spl2_485
| spl2_527
| ~ spl2_139
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s5498,s6194,s6724,s2479,s5390]) ).
cnf(s8361,plain,
( ~ spl2_175
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1472,s3288,s1445,s6349,s4796,s8360,s7247,s47,s8358,s5491,s2118,s562,s8357,s1985,s2920,s4304,s4640,s7399,s378,s6514,s193,s6185,s8356,s2133,s8343,s3874,s6807,s2749,s4627,s570,s3542,s4749,s4807,s2678,s5656,s3286,s603,s804,s8279,s4211,s8320,s113,s37,s8150,s3250,s7272,s7677,s247,s34,s8289,s8308]) ).
cnf(s8362,plain,
( spl2_154
| spl2_190
| ~ spl2_26
| ~ spl2_115
| spl2_175
| spl2_22 ),
inference(rat,[],[s586,s499,s8005]) ).
cnf(s8363,plain,
( ~ spl2_191
| ~ spl2_240
| ~ spl2_192
| ~ spl2_485
| spl2_499
| spl2_204
| spl2_715
| spl2_804
| spl2_1032
| spl2_541
| spl2_190
| spl2_527
| spl2_211
| spl2_70
| spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6349,s3288,s5423,s1229,s7371,s6196,s6647,s8349,s3043,s7166,s7231,s8219,s2369,s7383,s5324,s566,s3250,s7272,s5399,s2654]) ).
cnf(s8364,plain,
( spl2_520
| ~ spl2_221
| ~ spl2_482
| spl2_191
| ~ spl2_485
| spl2_204
| spl2_502
| spl2_527
| spl2_183
| spl2_70
| spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6317,s6809,s2061,s6194,s4005,s5498,s6850,s6724,s7154,s5390,s7272,s926]) ).
cnf(s8365,plain,
( ~ spl2_192
| ~ spl2_154
| spl2_499
| spl2_204
| spl2_715
| spl2_804
| spl2_1032
| spl2_502
| spl2_541
| spl2_190
| spl2_527
| spl2_212
| spl2_211
| spl2_183
| ~ spl2_73
| spl2_70
| spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6194,s1229,s2063,s3288,s6349,s8364,s2738,s2134,s7165,s6318,s500,s926,s8363,s7282,s7470,s2041,s3250,s7272,s2133]) ).
cnf(s8366,plain,
( spl2_700
| spl2_520
| spl2_21
| spl2_499
| spl2_204
| spl2_715
| spl2_70
| spl2_188
| ~ spl2_20 ),
inference(rat,[],[s8349,s7166,s2654]) ).
cnf(s8367,plain,
( ~ spl2_191
| spl2_70
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2945,s2242,s7281,s4344,s7621,s6647,s6642,s6132,s6092,s8366,s7588,s6349,s3288,s1207,s4005,s6102,s6382,s6317,s3283,s4760,s6721,s4211,s4471,s7877,s162,s8354,s516,s2134,s6644,s4153,s6194,s4458,s2981,s8266,s2369,s47,s1555,s5324,s566,s1327,s8308,s427,s745,s195,s3543,s4560,s4648,s2133,s6806,s8365,s8362,s5399,s174,s1269,s2678,s804,s6114,s1985,s2920,s7463,s4304,s4627,s3542,s4706,s4749,s3217,s3615,s2749,s8150,s1316,s5501,s5649,s3287,s3616,s3250,s7272,s3220,s3631,s7038,s2654,s4629,s247,s34,s8289,s113,s37,s8361,s7677]) ).
cnf(s8368,plain,
( spl2_520
| ~ spl2_251
| ~ spl2_482
| spl2_191
| ~ spl2_485
| spl2_204
| spl2_502
| spl2_190
| spl2_527
| spl2_183
| spl2_70
| spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6171,s3283,s3289,s5498,s7380,s3031,s6724,s8364,s5390,s3250,s7272,s926]) ).
cnf(s8369,plain,
( ~ spl2_21
| spl2_70
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6644,s6721,s6194,s4450,s2063,s1368,s8205,s6349,s8368,s611,s4406,s4884,s5684,s4751,s2133,s6806,s8365,s8362,s5399,s174,s1269,s2678,s804,s6114,s1985,s2920,s7463,s4304,s4627,s3542,s4706,s4749,s3217,s3615,s2749,s1316,s5501,s5649,s3287,s3616,s3250,s7272,s3220,s3631,s247,s34,s113,s8361,s7677,s2134,s162,s516,s500,s8367,s4629,s37,s8150,s7038,s2654,s8289]) ).
cnf(s8370,plain,
( ~ spl2_695
| ~ spl2_490
| ~ spl2_77
| spl2_192
| spl2_715
| ~ spl2_7
| ~ spl2_15
| ~ spl2_115
| spl2_175
| spl2_161
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s1445,s1472,s2945,s7498,s7281,s344,s2242,s4776,s8355,s4344,s7737,s3250,s562]) ).
cnf(s8371,plain,
( spl2_70
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6642,s6606,s6077,s6139,s6647,s8370,s7470,s1229,s3288,s6194,s6349,s8266,s8360,s3282,s2369,s8369,s162,s516,s500,s8367,s6806,s8365,s2133,s8362,s1269,s2678,s1985,s2920,s7463,s4627,s3542,s4706,s4749,s804,s2749,s1316,s5649,s3631,s4304,s3217,s6114,s5501,s3287,s7038,s3615,s5399,s7177,s174,s4629,s3616,s2654,s113,s37,s8150,s3250,s7272,s7677,s3220,s247,s34,s8289,s8361]) ).
cnf(s8372,plain,
( ~ spl2_191
| spl2_154
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6997,s3044,s6642,s2945,s6078,s1549,s7220,s7281,s5498,s6850,s4813,s5647,s6721,s7091,s8341,s6120,s4450,s5549,s5491,s6188,s8048,s4788,s4868,s4406,s4947,s1708,s601,s7943,s5330,s8336,s5272,s566,s1327,s1362,s2749,s7463,s2920,s4306,s1985,s4304,s3874,s2678,s804,s4706,s3542,s4640,s632,s5680,s4560,s4648,s603,s1329,s3631,s7399,s4593,s3220,s4471,s4211,s6840,s8197,s4202,s1628,s1668,s1564,s5518,s8005,s8007,s410,s247,s34,s8361,s7677,s100,s7496,s8289,s8308,s8150,s191,s8371,s3250,s7272]) ).
cnf(s8373,plain,
( ~ spl2_192
| spl2_1046
| ~ spl2_1040
| spl2_459
| spl2_502
| spl2_190
| spl2_527
| spl2_204
| spl2_206
| spl2_212
| ~ spl2_178
| ~ spl2_151
| ~ spl2_70
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s7280,s7340,s6171,s1503,s5498,s6957,s6102,s4796,s8328,s4556,s601,s2738,s2033,s4947,s7272]) ).
cnf(s8374,plain,
( spl2_154
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6349,s3288,s7588,s8355,s6644,s6647,s6078,s6077,s5423,s6642,s7281,s8340,s7175,s5647,s7231,s5781,s4813,s8341,s5491,s562,s8373,s7179,s6120,s4788,s7943,s493,s926,s8372,s4211,s6840,s8197,s4202,s1628,s4640,s1668,s8002,s4627,s3542,s4706,s4749,s2678,s3874,s1985,s2920,s2749,s632,s1564,s603,s804,s3631,s4304,s4306,s5680,s5518,s1329,s7399,s100,s8007,s8005,s4593,s7496,s410,s113,s37,s8150,s7677,s3220,s247,s34,s8289,s8308,s5735,s8361,s191,s8371,s3250,s7272]) ).
cnf(s8375,plain,
( spl2_520
| ~ spl2_251
| ~ spl2_37
| spl2_715
| spl2_804
| spl2_1032
| spl2_192
| spl2_191
| ~ spl2_472
| spl2_527
| spl2_183
| spl2_204
| ~ spl2_485
| ~ spl2_70
| spl2_175
| ~ spl2_139
| spl2_161
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s6078,s6642,s7281,s7175,s5647,s7231,s8112,s5491,s4640,s6120,s623,s6317,s993,s3031,s7282,s1476,s4211,s2061,s2063,s2182,s6194,s4956,s5498,s6850,s6724,s7154,s5390,s7272,s926]) ).
cnf(s8376,plain,
( ~ spl2_526
| ~ spl2_492
| ~ spl2_520
| ~ spl2_235
| spl2_541
| spl2_190
| spl2_527
| ~ spl2_485
| spl2_175
| ~ spl2_139
| spl2_188 ),
inference(rat,[],[s7165,s6349,s7470,s2063,s6171,s6194]) ).
cnf(s8377,plain,
( ~ spl2_21
| spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6077,s6642,s6647,s7175,s7375,s7470,s7231,s2738,s7165,s8337,s6317,s8205,s4788,s4450,s6721,s6644,s8376,s3283,s7007,s2119,s1368,s4796,s8375,s611,s4406,s4884,s5684,s4751,s247,s34,s8361,s2133,s3286,s3250,s4807,s4749,s4706,s3543,s3542,s570,s4627,s193,s603,s2751,s926,s562,s8357,s3874,s7272,s113,s37,s7463,s6807,s2678,s804,s2920,s1985,s4304,s7399,s6514,s6185,s2749,s5656,s8313,s8289,s7677,s8371,s8374,s8308,s8150]) ).
cnf(s8378,plain,
( spl2_6
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7383,s5553,s5608,s6607,s3288,s6349,s2119,s6179,s4796,s7468,s8360,s47,s8377,s562,s8357,s3874,s6185,s6807,s2751,s2749,s4627,s3542,s4749,s2678,s5656,s603,s804,s8313,s2133,s8374,s8371,s8361,s8308,s247,s34,s8289,s7677,s113,s37,s8150,s3250,s7272]) ).
cnf(s8380,plain,
( spl2_43
| spl2_204
| spl2_1004
| spl2_347
| ~ spl2_175
| ~ spl2_6
| ~ spl2_9 ),
inference(rat,[],[s1379,s4672,s6782,s3217,s3220]) ).
cnf(s8381,plain,
( ~ spl2_192
| ~ spl2_43
| spl2_154
| ~ spl2_26
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6102,s6957,s6851,s6644,s4957,s4956,s1246,s8149,s2182,s5486,s377,s8229,s8247,s3250,s7272,s8378,s410]) ).
cnf(s8382,plain,
( ~ spl2_8
| spl2_520
| ~ spl2_21
| spl2_204
| spl2_154
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8173,s2285,s3060,s5041,s2922,s58,s6646,s4751,s4328,s7498,s144,s6098,s5423,s6211,s508,s6792,s4494,s5484,s5133,s8170,s5216,s1329,s377,s1246,s5498,s4503,s3283,s7588,s6381,s6529,s7152,s6784,s4957,s8149,s5047,s4447,s1417,s2689,s745,s195,s4629,s410,s499,s3250,s7272,s174,s562,s6795,s8381,s8380,s3615,s3616,s8378,s8150,s5399,s113,s37,s2654,s6138,s1500]) ).
cnf(s8383,plain,
( spl2_8
| ~ spl2_21
| spl2_192
| ~ spl2_85
| ~ spl2_25
| ~ spl2_175
| spl2_22
| ~ spl2_9 ),
inference(rat,[],[s8315,s4807,s3286,s603]) ).
cnf(s8384,plain,
( ~ spl2_57
| ~ spl2_21
| spl2_240
| spl2_192
| ~ spl2_191
| ~ spl2_85
| ~ spl2_25
| ~ spl2_175
| spl2_22
| ~ spl2_9 ),
inference(rat,[],[s3289,s1554,s590,s8315,s4751]) ).
cnf(s8385,plain,
( ~ spl2_179
| ~ spl2_50
| spl2_100
| ~ spl2_1044
| ~ spl2_520
| spl2_192
| ~ spl2_43
| spl2_204
| ~ spl2_191
| spl2_154
| spl2_161
| ~ spl2_139
| ~ spl2_175
| ~ spl2_5
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s2736,s2085,s7782,s6196,s6323,s6312,s5122,s5121,s3993,s3060,s3283,s6646,s7383,s3967,s4328,s1128,s4834,s5468,s5472,s3250,s7272,s562,s7162,s410]) ).
cnf(s8386,plain,
( ~ spl2_21
| spl2_204
| spl2_154
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6792,s6098,s4798,s4858,s1554,s1361,s3289,s8385,s58,s4305,s8384,s4447,s8382,s2689,s8383,s3,s247,s3790,s745,s195,s4629,s499,s3250,s7272,s174,s562,s7162,s8381,s8380,s3615,s3616,s8378,s8150,s5399,s2654,s113,s37,s410]) ).
cnf(s8387,plain,
( spl2_204
| spl2_154
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5468,s7282,s7383,s5580,s5553,s5480,s623,s8230,s5486,s8181,s377,s7149,s8254,s8386,s7162,s6795,s8381,s8380,s8150,s3250,s7272,s8378,s3616,s5399,s113,s37,s3615,s2654,s410]) ).
cnf(s8388,plain,
( spl2_43
| ~ spl2_25
| ~ spl2_175
| ~ spl2_6
| ~ spl2_28 ),
inference(rat,[],[s1379,s4672,s3631,s3217,s7038,s8150,s3615]) ).
cnf(s8389,plain,
( ~ spl2_21
| spl2_240
| spl2_192
| ~ spl2_204
| spl2_172
| ~ spl2_191
| ~ spl2_85
| ~ spl2_25
| ~ spl2_175
| spl2_22
| ~ spl2_9 ),
inference(rat,[],[s7628,s2664,s8384,s849]) ).
cnf(s8390,plain,
( spl2_154
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s153,s3631,s2682,s4671,s378,s5480,s623,s8230,s8181,s377,s7149,s8254,s8389,s7162,s6795,s8381,s8387,s812,s499,s410,s4169,s8150,s3250,s7272,s174,s5399,s113,s248,s745,s195,s4629,s37,s8388,s2654,s8378]) ).
cnf(s8391,plain,
( ~ spl2_21
| ~ spl2_192
| ~ spl2_154
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s977,s2749,s7853,s6199,s4798,s8179,s3250,s7272,s4629,s248,s37,s1463,s2754,s1379,s4830,s5097,s4447,s4422,s439,s8150,s4833,s8388,s2654,s3,s8378]) ).
cnf(s8393,plain,
( ~ spl2_179
| spl2_371
| ~ spl2_164
| ~ spl2_154
| ~ spl2_43
| ~ spl2_9 ),
inference(rat,[],[s2749,s6199,s977,s7158,s1103,s2970,s2754]) ).
cnf(s8394,plain,
( ~ spl2_192
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s413,s8256,s2371,s1560,s1555,s977,s939,s2749,s2041,s3289,s8393,s8391,s1622,s1259,s4957,s4447,s2670,s603,s8149,s4422,s153,s262,s1379,s6899,s8229,s439,s434,s4830,s4833,s8150,s3250,s7272,s3,s248,s37,s8388,s2654,s8378,s8390]) ).
cnf(s8395,plain,
( ~ spl2_21
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4447,s2689,s7897,s8383,s8179,s8150,s3250,s7272,s745,s195,s4629,s37,s8388,s2654,s8378,s8390,s8394]) ).
cnf(s8396,plain,
( ~ spl2_264
| spl2_77
| ~ spl2_186
| ~ spl2_179
| spl2_192
| ~ spl2_154
| ~ spl2_43
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s2975,s601,s7498,s2134,s5553,s4151,s2751]) ).
cnf(s8397,plain,
( spl2_371
| ~ spl2_179
| ~ spl2_8
| ~ spl2_191
| spl2_204
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2258,s6092,s1329,s8285,s6199,s3993,s5041,s2922,s939,s6646,s7383,s4328,s8258,s977,s8396,s1271,s5484,s378,s623,s153,s8393,s3631,s8150,s7272,s3,s8388,s2654,s8378,s8390,s8394,s8395]) ).
cnf(s8398,plain,
( ~ spl2_371
| ~ spl2_175
| ~ spl2_6
| ~ spl2_9 ),
inference(rat,[],[s1379,s4671]) ).
cnf(s8399,plain,
( spl2_154
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8390,s1728,s8150]) ).
cnf(s8400,plain,
( ~ spl2_191
| spl2_204
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3880,s3175,s1560,s6851,s534,s565,s6513,s5344,s8105,s7280,s1633,s2401,s3110,s6349,s1273,s3288,s1472,s7173,s2119,s1445,s4957,s8149,s2182,s5097,s8259,s2118,s6899,s5484,s5156,s3289,s8397,s3250,s7272,s4447,s4422,s3631,s745,s195,s4629,s37,s8388,s2654,s8399,s562,s7149,s8395,s8394,s6807,s8398,s8378,s8150]) ).
cnf(s8401,plain,
( spl2_204
| spl2_161
| spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1271,s8260,s413,s377,s3175,s7399,s500,s6514,s8400,s6807,s153,s3631,s8398,s8150,s4629,s37,s8388,s2654,s8378,s8399,s8395]) ).
cnf(s8402,plain,
( ~ spl2_204
| ~ spl2_43
| spl2_82
| ~ spl2_175 ),
inference(rat,[],[s378,s2682,s2670]) ).
cnf(s8403,plain,
( spl2_70
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s413,s1768,s1737,s8401,s8402,s8399,s8388,s2654,s153,s3631,s8398,s8378,s8150]) ).
cnf(s8404,plain,
( ~ spl2_192
| ~ spl2_43
| spl2_154
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7948,s8156,s8381,s4447,s4422,s3631,s8398,s8378,s8150,s8403]) ).
cnf(s8405,plain,
( ~ spl2_179
| ~ spl2_191
| spl2_508
| ~ spl2_50
| spl2_192
| spl2_204
| ~ spl2_43
| spl2_154
| spl2_161
| ~ spl2_70
| ~ spl2_1044
| spl2_100
| ~ spl2_175
| ~ spl2_5
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s8048,s8172,s5272,s2285,s5041,s2922,s939,s3283,s6646,s2182,s7383,s3967,s4328,s7306,s5390,s5468,s8385,s3250,s7272,s410,s247,s3791]) ).
cnf(s8407,plain,
( ~ spl2_191
| spl2_508
| spl2_1064
| ~ spl2_41
| ~ spl2_50
| ~ spl2_21
| spl2_192
| spl2_204
| ~ spl2_43
| spl2_154
| spl2_161
| ~ spl2_70
| ~ spl2_1044
| spl2_100
| ~ spl2_175
| ~ spl2_5
| spl2_205
| ~ spl2_20 ),
inference(rat,[],[s8048,s6323,s5272,s3993,s5041,s2922,s939,s6646,s7383,s4328,s5423,s1809,s4798,s4858,s1554,s1361,s3289,s8405,s3250,s7272]) ).
cnf(s8408,plain,
( ~ spl2_21
| ~ spl2_43
| spl2_154
| spl2_161
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5423,s7383,s4494,s5553,s5484,s623,s5486,s8168,s1810,s6342,s8407,s5053,s849,s6640,s6859,s6886,s102,s58,s65,s4751,s192,s113,s37,s3250,s7272,s3,s4447,s4422,s8402,s153,s3631,s8398,s8378,s8150,s189,s8403,s5927,s8404]) ).
cnf(s8409,plain,
( ~ spl2_179
| ~ spl2_472
| spl2_192
| spl2_204
| spl2_154
| spl2_188 ),
inference(rat,[],[s5553,s7383,s1128,s5468,s5472,s410,s562]) ).
cnf(s8411,plain,
( ~ spl2_43
| spl2_154
| spl2_161
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6957,s6102,s6644,s6851,s1246,s4957,s4956,s8149,s2182,s8259,s623,s2772,s1361,s3289,s8409,s5486,s377,s8254,s8408,s8404,s6807,s8402,s3250,s7272,s153,s3631,s8398,s8378,s8150,s410]) ).
cnf(s8412,plain,
( ~ spl2_192
| spl2_154
| spl2_161
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4672,s5480,s623,s603,s5097,s8296,s4798,s8047,s4805,s113,s37,s4447,s8403,s3209,s3241,s4422,s247,s34,s7399,s4593,s3220,s8411,s3631,s8398,s8378,s8150]) ).
cnf(s8413,plain,
( spl2_154
| spl2_161
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5553,s623,s7498,s2118,s8412,s5486,s377,s7399,s7237,s4593,s3220,s8411,s7272,s3631,s8398,s8378,s8150]) ).
cnf(s8414,plain,
( ~ spl2_192
| ~ spl2_43
| ~ spl2_154
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5156,s4947,s3289,s3084,s8393,s6899,s4833,s3250,s7272,s3,s3631,s8398,s8378,s8150,s8403]) ).
cnf(s8415,plain,
( ~ spl2_21
| spl2_192
| ~ spl2_8
| ~ spl2_43
| ~ spl2_154
| ~ spl2_70
| ~ spl2_1044
| ~ spl2_175
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s6185,s4448,s6514,s5216,s1329,s7897,s3250]) ).
cnf(s8416,plain,
( spl2_166
| ~ spl2_43
| ~ spl2_154
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8260,s1271,s6199,s413,s377,s8415,s8414,s6807,s8402,s153,s8403,s4447,s4422,s3631,s8398,s8378,s8150,s7272]) ).
cnf(s8417,plain,
( ~ spl2_43
| ~ spl2_154
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2981,s1105,s1555,s977,s939,s2749,s6185,s6514,s1329,s1327,s8416,s6807,s8402,s7272,s153,s3631,s8398,s8378,s8150,s8403]) ).
cnf(s8418,plain,
( ~ spl2_192
| ~ spl2_21
| spl2_43
| ~ spl2_154
| spl2_161
| ~ spl2_70
| ~ spl2_1044
| ~ spl2_175
| spl2_188
| ~ spl2_28 ),
inference(rat,[],[s8292,s6177,s377,s8296,s5216,s5656,s4448,s2749,s623,s8061,s5097,s2738,s4798,s4699,s4805,s1463,s113,s37,s8150,s2133]) ).
cnf(s8419,plain,
( spl2_161
| ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5216,s6177,s5684,s5553,s569,s623,s5500,s7498,s2118,s8418,s7237,s3241,s3220,s8417,s2133,s8413,s7272,s4447,s4422,s3631,s8398,s8378,s8150,s8403]) ).
cnf(s8420,plain,
( ~ spl2_175
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4385,s1724,s3583,s3445,s3582,s6644,s6645,s6850,s1246,s4956,s8149,s2182,s8296,s603,s193,s6177,s413,s377,s8417,s2133,s1737,s1728,s8419,s8403,s153,s3631,s8398,s8150,s8378]) ).
cnf(s8421,plain,
( ~ spl2_184
| ~ spl2_190
| spl2_70
| ~ spl2_43
| spl2_154
| spl2_22
| ~ spl2_28 ),
inference(rat,[],[s8181,s377,s4989,s8248]) ).
cnf(s8422,plain,
( spl2_70
| ~ spl2_43
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4833,s6806,s5097,s8421,s4447,s2689,s603,s4706,s8362,s5399,s174,s2654,s113,s37,s3250,s7272,s3,s8378,s8420,s1728,s8150]) ).
cnf(s8423,plain,
( ~ spl2_21
| spl2_166
| ~ spl2_164
| ~ spl2_43
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s153,s2670,s194,s8195,s8420,s1728,s8150,s8422]) ).
cnf(s8424,plain,
( spl2_166
| ~ spl2_192
| ~ spl2_43
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4956,s7961,s2182,s8234,s8259,s2754,s3631,s3874,s4947,s603,s7952,s143,s47,s7943,s8423,s5486,s377,s3250,s7272,s8420,s410,s1728,s8150,s8422,s4833,s3,s8378,s431]) ).
cnf(s8425,plain,
( ~ spl2_21
| ~ spl2_192
| ~ spl2_70
| ~ spl2_43
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2797,s7513,s4947,s65,s192,s8187,s8150,s3250,s7272,s8420,s189,s4833,s3,s8378]) ).
cnf(s8426,plain,
( ~ spl2_192
| ~ spl2_43
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4,s8287,s143,s47,s7943,s8425,s8424,s431,s1728,s8150,s8005,s3250,s7272,s8420,s8422]) ).
cnf(s8427,plain,
( ~ spl2_21
| ~ spl2_43
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8196,s5272,s5330,s7902,s5216,s8279,s6342,s1327,s8195,s2664,s5053,s849,s6640,s4447,s102,s3286,s7628,s58,s4422,s65,s4751,s194,s113,s37,s5926,s1362,s189,s8422,s8197,s4202,s1628,s410,s1668,s1564,s5518,s8005,s8007,s3250,s7272,s247,s3791,s8426,s8420,s1728,s8150]) ).
cnf(s8428,plain,
( ~ spl2_43
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8149,s1246,s8259,s6645,s623,s4153,s187,s5553,s5272,s544,s5486,s2749,s377,s5651,s8248,s603,s7011,s4868,s6179,s4706,s5330,s7468,s586,s493,s2369,s7257,s47,s7943,s8427,s247,s3791,s8426,s8422,s8378,s1728,s8150,s1362,s8007,s8005,s3250,s7272,s8420]) ).
cnf(s8429,plain,
( spl2_70
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4706,s3217,s8362,s3615,s5399,s174,s2654,s113,s37,s3250,s7272,s8420,s8428]) ).
cnf(s8430,plain,
( spl2_166
| ~ spl2_263
| spl2_365
| ~ spl2_139
| spl2_154
| spl2_175
| ~ spl2_6
| spl2_188
| ~ spl2_9 ),
inference(rat,[],[s7512,s623,s3631,s5553,s8307,s5486,s377,s8005,s3250]) ).
cnf(s8431,plain,
( spl2_206
| ~ spl2_192
| spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1330,s4671,s3631,s6963,s8430,s980,s1718,s601,s2134,s3084,s4758,s4947,s8150,s8378,s3209,s6,s1628,s247,s34,s8428,s410,s1668,s1564,s5518,s8005,s8007,s8420,s3250,s7272,s8429]) ).
cnf(s8432,plain,
( ~ spl2_206
| ~ spl2_16
| spl2_161
| spl2_175
| ~ spl2_28 ),
inference(rat,[],[s4422,s3241,s3631,s8187,s3874,s8150]) ).
cnf(s8433,plain,
( spl2_154
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5480,s623,s7590,s4306,s980,s1333,s4671,s4244,s562,s8431,s8432,s247,s34,s3220,s8428,s1728,s8150,s7272,s8378,s8420]) ).
cnf(s8434,plain,
( spl2_166
| ~ spl2_21
| ~ spl2_192
| spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2670,s153,s8206,s162,s6177,s6199,s413,s8150,s8420,s2133,s8433,s430,s4833,s3,s8378]) ).
cnf(s8435,plain,
( ~ spl2_21
| ~ spl2_192
| spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2182,s8209,s8279,s8434,s8187,s8420,s2133,s8433,s603,s262,s434,s8150,s248,s2654,s37]) ).
cnf(s8436,plain,
( ~ spl2_192
| spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8286,s1271,s8262,s6840,s2670,s8259,s153,s187,s8266,s7257,s8435,s5097,s3084,s4447,s2290,s2689,s603,s262,s438,s434,s4833,s8150,s3250,s7272,s3,s8378,s8420,s8433,s247,s3790,s248,s2654,s37]) ).
cnf(s8437,plain,
( spl2_166
| ~ spl2_21
| spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s153,s2682,s4306,s8206,s2749,s6177,s6199,s413,s8150,s8420,s2133,s8433]) ).
cnf(s8438,plain,
( ~ spl2_21
| spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2202,s1213,s1530,s8212,s6856,s2673,s2134,s3288,s1550,s4153,s999,s1348,s3999,s1472,s5307,s4458,s2981,s5580,s1445,s7498,s7383,s1555,s5755,s7470,s4957,s566,s3307,s7158,s8149,s2182,s6514,s4671,s8279,s1329,s4596,s603,s623,s570,s8210,s5684,s5216,s4447,s8211,s8248,s1327,s8437,s3250,s7272,s8378,s427,s8433,s5399,s2654,s113,s745,s195,s4629,s37,s6806,s8436,s8420]) ).
cnf(s8439,plain,
( spl2_166
| ~ spl2_504
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7279,s5580,s7472,s4596,s2859,s623,s1418,s8259,s3882,s2736,s8265,s5503,s5656,s977,s4306,s3880,s2749,s6199,s377,s8150,s3250,s7272,s8378,s8433]) ).
cnf(s8440,plain,
( spl2_513
| spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s1259,s4957,s8286,s8149,s8378,s8433,s8439,s8266,s247,s3790,s7149,s8438,s6806,s8436,s8420,s7272]) ).
cnf(s8441,plain,
( spl2_70
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s601,s517,s8281,s143,s4648,s4749,s603,s8279,s4211,s8440,s8439,s8266,s7149,s8438,s6806,s8436,s5399,s247,s2654,s3790,s113,s37,s8150,s7272,s8420,s2133,s8433]) ).
cnf(s8442,plain,
( ~ spl2_192
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s7282,s8393,s5156,s3874,s4947,s7952,s47,s8425,s4833,s8150,s7272,s3,s8378,s8420,s8433,s8441]) ).
cnf(s8443,plain,
( spl2_166
| ~ spl2_8
| ~ spl2_50
| spl2_100
| ~ spl2_21
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5480,s623,s8259,s8149,s1246,s5580,s6645,s7279,s4393,s4500,s4448,s2749,s6199,s377,s8150,s3250,s7272,s8378,s8433]) ).
cnf(s8444,plain,
( ~ spl2_21
| ~ spl2_70
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s4448,s6185,s5216,s6342,s8443,s4447,s3286,s58,s4422,s4751,s194,s113,s37,s8150,s3250,s7272,s8433,s189]) ).
cnf(s8445,plain,
( ~ spl2_212
| spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s5475,s8265,s8279,s5503,s5656,s977,s3880,s2749,s8150,s8433,s8439,s8266,s6179,s7468,s47,s2369,s247,s3791,s8442,s8420,s8444,s8441,s7272]) ).
cnf(s8446,plain,
( spl2_161
| ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s8281,s601,s4211,s4648,s4749,s518,s8276,s603,s1326,s1329,s6514,s6185,s8445,s1327,s8439,s8266,s6179,s7468,s2369,s47,s7943,s8444,s6,s247,s3791,s8442,s8441,s8150,s7272,s2133,s5971,s8433,s8420]) ).
cnf(s8447,plain,
( spl2_77
| ~ spl2_161
| ~ spl2_43
| ~ spl2_28 ),
inference(rat,[],[s153,s162,s1768,s8150,s516,s1743]) ).
cnf(s8448,plain,
( ~ spl2_43
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3594,s2535,s6850,s1745,s1749,s1327,s4472,s413,s8447,s8446,s8433]) ).
cnf(s8449,plain,
( ~ spl2_21
| ~ spl2_926
| ~ spl2_504
| spl2_541
| spl2_211
| ~ spl2_154 ),
inference(rat,[],[s4450,s4406,s4788,s5684]) ).
cnf(s8450,plain,
( spl2_70
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6647,s6158,s4344,s7281,s2242,s5632,s8349,s8352,s7588,s8360,s5390,s6349,s6806,s562,s3075,s3288,s1207,s4005,s6102,s6382,s6317,s2369,s47,s8449,s2670,s623,s6277,s3283,s4760,s6721,s4211,s4471,s6840,s162,s516,s2134,s2981,s4153,s6644,s6645,s4458,s6194,s1555,s2150,s1312,s1985,s2920,s7463,s4627,s4672,s3542,s3543,s4648,s4749,s804,s1316,s980,s5649,s3631,s4304,s3217,s6114,s5501,s3287,s7038,s3615,s3616,s2654,s113,s37,s8150,s3250,s7272,s8378,s427,s8420,s2133,s8433,s3220,s247,s34,s8448]) ).
cnf(s8451,plain,
( spl2_166
| spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s2749,s1104,s8357,s3804,s7282,s4244,s3872,s1555,s5580,s4671,s5553,s4596,s623,s7194,s418,s6177,s377,s113,s37,s8150,s8378,s2133,s8433,s8432,s3220,s8448,s8420,s191,s8450,s3250,s7272]) ).
cnf(s8452,plain,
( spl2_161
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6382,s6102,s6317,s4796,s2369,s47,s3283,s8360,s8449,s4760,s4211,s6185,s6721,s6644,s4471,s6840,s6194,s1555,s2150,s1312,s4244,s8357,s2749,s980,s193,s4627,s4672,s570,s3542,s4648,s4749,s4807,s5656,s603,s8313,s8451,s8450,s8432,s113,s37,s8150,s3250,s7272,s8378,s8420,s2133,s8433,s3220,s247,s34,s8448]) ).
cnf(s8453,plain,
( spl2_70
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s6194,s2150,s3582,s4648,s4749,s4671,s4306,s3217,s4244,s7038,s3615,s1727,s2654,s8150,s7272,s8378,s8420,s2133,s8433,s247,s34,s8448,s8452]) ).
cnf(s8454,plain,
( spl2_166
| spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3583,s1105,s6644,s2981,s7279,s1246,s1555,s5580,s4671,s8149,s5553,s4596,s8296,s623,s603,s7194,s193,s418,s6177,s413,s377,s8150,s8378,s8420,s2133,s8433,s8448,s8452,s191,s8453,s3250,s7272]) ).
cnf(s8455,plain,
( spl2_205
| ~ spl2_28 ),
inference(rat,[],[s3594,s8313,s1327,s8454,s8452,s8448,s8433]) ).
cnf(s8456,plain,
( spl2_154
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s1246,s377,s1253,s5216,s2781,s980,s4447,s5651,s2689,s4868,s603,s5519,s4749,s1561,s1566,s7965,s1770,s7961,s2779,s7993,s2790,s410,s8455,s3255]) ).
cnf(s8457,plain,
( ~ spl2_21
| spl2_353
| ~ spl2_472
| ~ spl2_69
| spl2_22
| ~ spl2_205 ),
inference(rat,[],[s7628,s6636,s8147,s849]) ).
cnf(s8458,plain,
( ~ spl2_192
| spl2_21
| ~ spl2_212
| spl2_77
| ~ spl2_139
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s5342,s5498,s4385,s3844,s1410,s5475,s8259,s623,s4291,s5199,s5503,s5156,s3880,s3289,s8266,s4583,s6179,s1857,s4977,s1332,s3255,s977,s5656,s2682,s153,s4306,s2749,s8150,s2369,s2787,s8455,s3729,s8456]) ).
cnf(s8459,plain,
( ~ spl2_502
| ~ spl2_1040
| ~ spl2_227
| ~ spl2_154
| spl2_161
| ~ spl2_9 ),
inference(rat,[],[s5342,s5498,s4385,s3844,s1410]) ).
cnf(s8460,plain,
( spl2_166
| spl2_70
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s1554,s7279,s6526,s7472,s2780,s2859,s1798,s623,s1418,s4576,s8259,s3882,s2736,s8459,s4291,s5503,s3880,s8266,s6806,s8458,s3729,s2369,s2787,s8457,s5925,s5656,s977,s4306,s2749,s6177,s6199,s413,s8150,s3255,s2133,s8456,s247,s3790,s409,s4629,s37,s2654,s8455]) ).
cnf(s8461,plain,
( ~ spl2_172
| ~ spl2_166
| ~ spl2_20 ),
inference(rat,[],[s6342,s58,s811,s6636]) ).
cnf(s8462,plain,
( ~ spl2_8
| spl2_70
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s5475,s3844,s8266,s5498,s6806,s2791,s5199,s7121,s8258,s7282,s7470,s977,s1554,s2751,s6526,s5555,s2780,s623,s8272,s5330,s5519,s5216,s7383,s6514,s4447,s8287,s8279,s1329,s2689,s8150,s3255,s5399,s47,s2369,s247,s3790,s2787,s3729,s849,s8461,s8460,s113,s409,s4629,s37,s2654,s8455,s8456]) ).
cnf(s8463,plain,
( spl2_70
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s534,s4250,s431,s517,s143,s4706,s603,s8462,s3729,s2369,s2787,s849,s8461,s8460,s745,s409,s195,s5399,s247,s4629,s2654,s3790,s113,s37,s8150,s8455,s8456]) ).
cnf(s8464,plain,
( ~ spl2_175
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s8415,s7775,s8156,s623,s396,s4447,s2780,s3286,s7628,s4422,s65,s4751,s194,s2787,s8150,s8455,s3255,s8456,s189,s8463]) ).
cnf(s8465,plain,
( ~ spl2_192
| ~ spl2_221
| spl2_204
| spl2_264
| spl2_77
| spl2_175
| ~ spl2_70
| ~ spl2_43
| ~ spl2_154 ),
inference(rat,[],[s7282,s4583,s5156,s1857,s4947,s1332,s7262]) ).
cnf(s8466,plain,
( spl2_166
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s3169,s2780,s1369,s623,s7306,s8259,s2736,s8459,s4291,s5503,s3880,s8266,s6179,s247,s7468,s3791,s8465,s7952,s47,s8457,s2682,s396,s5925,s977,s153,s3286,s7628,s58,s2749,s162,s5034,s6177,s6199,s413,s113,s37,s8150,s8455,s3255,s2133,s190,s8463,s7262,s8464,s8456]) ).
cnf(s8467,plain,
( ~ spl2_21
| spl2_172
| spl2_37
| ~ spl2_28 ),
inference(rat,[],[s396,s7628,s849,s4751,s8150,s8455]) ).
cnf(s8468,plain,
( ~ spl2_8
| ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s623,s2780,s8272,s3169,s5330,s5519,s3307,s5216,s6514,s4447,s1329,s2689,s8455,s3255,s8456,s7952,s47,s8467,s8461,s8466,s113,s37,s189,s8463,s8464]) ).
cnf(s8469,plain,
( ~ spl2_43
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s6317,s3283,s6382,s5344,s6102,s2119,s562,s2789,s431,s517,s4211,s143,s4807,s8276,s603,s8468,s7952,s47,s7943,s8467,s8461,s1327,s8466,s8464,s189,s8463,s113,s37,s8150,s8455,s3255,s8456]) ).
cnf(s8470,plain,
( spl2_166
| spl2_188
| spl2_175
| ~ spl2_93
| ~ spl2_100
| ~ spl2_15
| ~ spl2_154
| spl2_161
| ~ spl2_9 ),
inference(rat,[],[s4250,s430,s6280,s162,s535,s418,s413,s377]) ).
cnf(s8471,plain,
( spl2_178
| spl2_188
| spl2_527
| spl2_21
| ~ spl2_139
| ~ spl2_485
| spl2_161
| ~ spl2_205 ),
inference(rat,[],[s926,s6196,s7165,s2479,s8266,s6194,s5498,s2791,s7121,s7282,s7470,s2369,s2787]) ).
cnf(s8472,plain,
( ~ spl2_700
| ~ spl2_779
| ~ spl2_503
| ~ spl2_191
| spl2_204
| ~ spl2_184
| spl2_192
| spl2_188
| spl2_175
| spl2_715
| spl2_804
| spl2_716
| spl2_161 ),
inference(rat,[],[s2945,s2242,s7281,s4344,s7621,s5499,s6642,s6132,s6092]) ).
cnf(s8473,plain,
( ~ spl2_191
| spl2_204
| ~ spl2_733
| ~ spl2_1040
| ~ spl2_482
| ~ spl2_184
| spl2_192
| ~ spl2_544
| ~ spl2_221
| spl2_188
| spl2_175
| spl2_715
| spl2_804
| spl2_1032
| spl2_502
| spl2_541
| spl2_716
| spl2_190
| spl2_183
| spl2_21
| ~ spl2_25
| spl2_161
| ~ spl2_20 ),
inference(rat,[],[s5499,s6158,s4344,s7281,s2242,s5632,s8349,s8472,s7588,s5390,s6349,s3288,s1207,s4005,s6102,s6382,s6317,s3283,s4760,s2981,s3285,s566,s3255,s5399,s47,s5342]) ).
cnf(s8474,plain,
( spl2_204
| spl2_70
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s6642,s6606,s6077,s6139,s5499,s8370,s3288,s6349,s8360,s3282,s8473,s174,s4807,s3543,s3542,s4627,s7463,s3631,s2920,s1985,s4304,s1327,s8470,s143,s5399,s113,s7177,s2134,s4211,s6840,s162,s516,s534,s4706,s745,s195,s7038,s5498,s6194,s8266,s6806,s2041,s8471,s2749,s5501,s8150,s2369,s247,s34,s2787,s3729,s849,s409,s4629,s37,s8455,s6636,s3287,s3616,s3255,s3220,s4749,s3217,s3615,s2654,s8469,s2133,s8456]) ).
cnf(s8475,plain,
( spl2_70
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s3996,s623,s4671,s2670,s2674,s2678,s8474,s804,s3631,s6114,s7038,s3615,s2654,s8469]) ).
cnf(s8476,plain,
( spl2_166
| ~ spl2_175
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s8418,s947,s7147,s4447,s8132,s4422,s8147,s162,s418,s6177,s413,s113,s37,s8150,s2133,s8456,s5922,s3220,s8469,s190,s191,s8475,s3255,s2787,s8455]) ).
cnf(s8477,plain,
( ~ spl2_175
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s400,s4884,s2793,s193,s849,s603,s8461,s8313,s8476,s2787,s113,s37,s8150,s8455,s8456,s8469,s8475]) ).
cnf(s8478,plain,
( spl2_166
| ~ spl2_21
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s8132,s7194,s8147,s418,s6177,s113,s37,s8150,s8455,s2133,s8456,s5922,s8469,s191,s8475,s3255,s8477]) ).
cnf(s8479,plain,
( ~ spl2_21
| spl2_161
| ~ spl2_28 ),
inference(rat,[],[s400,s4884,s2793,s193,s849,s603,s8461,s8313,s8478,s113,s37,s8150,s8455,s8456,s8469,s8475]) ).
cnf(s8480,plain,
( spl2_161
| ~ spl2_28 ),
inference(rat,[],[s8003,s7383,s6607,s5608,s3288,s2119,s6349,s4796,s8360,s6179,s4749,s6185,s4529,s1410,s7468,s562,s603,s2749,s2781,s4947,s6883,s2689,s3284,s5504,s2369,s3241,s3784,s47,s8479,s8432,s5783,s7262,s8477,s8475,s247,s34,s3220,s8469,s2133,s8456,s3255,s113,s37,s8150,s8455]) ).
cnf(s8481,plain,
( ~ spl2_166
| ~ spl2_28 ),
inference(rat,[],[s2689,s4447,s3594,s5216,s1327,s5519,s1561,s2777,s3584,s7677,s8480,s8455]) ).
cnf(s8482,plain,
~ spl2_28,
inference(rat,[],[s7262,s2150,s8398,s4672,s3631,s603,s7534,s8296,s247,s1445,s1202,s8149,s34,s2152,s1246,s6199,s413,s377,s8481,s2749,s2781,s1747,s2777,s3584,s7677,s1728,s8480,s8455,s8150]) ).
cnf(s8484,plain,
spl2_23,
inference(rat,[],[s39,s8482]) ).
cnf(s8485,plain,
( ~ spl2_20
| ~ spl2_175
| ~ spl2_21
| spl2_70
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43 ),
inference(rat,[],[s4494,s5484,s6798,s7028,s4993,s58,s4083,s2026,s6871,s493,s5399,s7931,s56,s2654,s247,s3790,s994,s4400,s8484,s8482]) ).
cnf(s8486,plain,
( ~ spl2_175
| ~ spl2_21
| spl2_70
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43 ),
inference(rat,[],[s1869,s1293,s7532,s7927,s5484,s7881,s1021,s921,s1411,s1274,s27,s113,s8485,s4202,s1623,s7047,s7931,s56,s247,s3790]) ).
cnf(s8487,plain,
( spl2_175
| spl2_70
| ~ spl2_51
| spl2_154
| spl2_22 ),
inference(rat,[],[s7869,s4827,s174,s27,s972,s7277,s623,s7937,s8005,s377,s7931,s7005]) ).
cnf(s8488,plain,
( ~ spl2_264
| ~ spl2_211
| spl2_37
| spl2_56 ),
inference(rat,[],[s4827,s27,s1316,s3552,s8484]) ).
cnf(s8489,plain,
( ~ spl2_164
| ~ spl2_227
| ~ spl2_191
| ~ spl2_20
| ~ spl2_175
| spl2_70
| spl2_188
| spl2_166
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s6198,s5555,s58,s7178,s7028,s3175,s569,s939,s7390,s975,s6871,s8484]) ).
cnf(s8490,plain,
( ~ spl2_192
| spl2_70
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s4989,s7277,s6798,s4408,s3285,s4993,s7488,s7862,s1858,s1332,s1463,s377,s7257,s623,s378,s5484,s8489,s977,s8488,s6871,s2403,s266,s985,s247,s3790,s7005,s3282,s2871,s2654,s11,s8486,s7272,s7931,s8487,s56,s8484]) ).
cnf(s8491,plain,
( spl2_70
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7282,s5468,s1554,s7383,s6526,s569,s7149,s8490,s8489,s977,s8488,s6871,s3282,s2403,s11,s8486,s8487,s2871,s247,s7005,s2654,s3790,s3255,s410,s266,s985,s7931,s56,s7272,s8484]) ).
cnf(s8492,plain,
( ~ spl2_164
| spl2_221
| ~ spl2_175
| ~ spl2_50
| ~ spl2_21
| spl2_37
| ~ spl2_70
| ~ spl2_51
| spl2_161 ),
inference(rat,[],[s4805,s5474,s1298,s3364,s27,s2577,s113,s793,s7028,s4640,s8482]) ).
cnf(s8493,plain,
( ~ spl2_192
| ~ spl2_20
| spl2_184
| spl2_164
| ~ spl2_175
| spl2_77
| ~ spl2_70
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s6196,s7306,s6645,s7917,s4153,s4236,s7024,s4308,s601,s3747,s3175,s5122,s1444,s5553,s939,s3283,s7383,s3967,s5423,s6859,s1332,s7931,s56,s7272,s58,s5034,s623]) ).
cnf(s8495,plain,
( spl2_700
| ~ spl2_371
| ~ spl2_20
| ~ spl2_186
| spl2_221
| ~ spl2_50
| spl2_205 ),
inference(rat,[],[s7914,s6323]) ).
cnf(s8496,plain,
( ~ spl2_175
| ~ spl2_21
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6168,s6085,s6647,s6642,s7382,s7923,s2283,s4813,s4297,s8495,s6527,s6142,s7255,s562,s3791,s8493,s2719,s8402,s808,s4827,s113,s27,s4494,s921,s5484,s623,s8492,s994,s3255,s377,s7931,s56,s189,s3162,s58,s5034,s631,s8491,s8482]) ).
cnf(s8497,plain,
( ~ spl2_504
| ~ spl2_225
| ~ spl2_206
| ~ spl2_20
| ~ spl2_34
| spl2_22 ),
inference(rat,[],[s3288,s7381,s5187,s1369]) ).
cnf(s8498,plain,
( ~ spl2_192
| spl2_164
| ~ spl2_176
| spl2_77
| ~ spl2_70
| ~ spl2_163
| ~ spl2_51
| ~ spl2_151
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7389,s7927,s7961,s8497,s5122,s3283,s3967,s5423,s2738,s6859,s6521,s6526,s5199,s1332,s4805,s3255,s3162,s58,s5034,s623,s113,s27,s972,s7277,s8482,s8484]) ).
cnf(s8499,plain,
( ~ spl2_221
| ~ spl2_500
| ~ spl2_1059
| spl2_510
| spl2_12
| spl2_204
| ~ spl2_20
| ~ spl2_176
| ~ spl2_50
| ~ spl2_34
| spl2_188
| spl2_166
| ~ spl2_51
| spl2_161 ),
inference(rat,[],[s6089,s6642,s5498,s7175,s6724,s8172,s7231,s6871,s4295,s569,s7792,s8484]) ).
cnf(s8500,plain,
( ~ spl2_21
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6120,s6851,s5648,s4988,s6277,s3288,s3283,s7381,s7380,s2738,s8499,s4503,s2736,s2182,s7306,s5390,s1369,s8197,s4202,s1628,s1346,s247,s3791,s8498,s2682,s808,s4827,s113,s27,s1668,s1770,s972,s1564,s623,s5580,s7277,s5518,s7937,s8007,s8005,s8496,s58,s5034,s631,s3255,s410,s377,s7931,s56,s7272,s3162,s8491,s8482]) ).
cnf(s8501,plain,
( spl2_513
| ~ spl2_472
| ~ spl2_77
| ~ spl2_151
| spl2_161 ),
inference(rat,[],[s7961,s4956,s6840,s2182]) ).
cnf(s8502,plain,
( ~ spl2_164
| ~ spl2_175
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s5122,s1476,s1869,s2825,s7532,s8501,s7279,s6645,s4153,s3175,s939,s7390,s975,s7024,s977,s6198,s1316,s5034,s58,s7028,s7515,s410,s7047,s7272,s11,s6871,s493,s7943,s8500,s7931,s56,s994,s3162,s8491,s4202,s1623,s8482,s8484]) ).
cnf(s8503,plain,
( ~ spl2_175
| spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s4558,s7167,s6856,s3791,s6808,s3288,s247,s6572,s7381,s2479,s1567,s2182,s1232,s7965,s7927,s7961,s2731,s8497,s5484,s623,s8502,s2664,s5490,s2738,s5477,s994,s3255,s410,s3162,s8491,s47,s11,s6871,s7931,s56,s850,s811,s493,s7943,s8500,s8482,s8484]) ).
cnf(s8504,plain,
( spl2_205
| spl2_9
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s569,s7952,s8005,s8503,s6871,s493,s47,s7943,s8500,s3255,s7931,s56,s8484]) ).
cnf(s8505,plain,
( ~ spl2_205
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s994,s976,s4400,s5159,s2787,s3285,s8005,s4406,s5518,s5519,s1561,s7965,s1770,s2779,s7993,s3255,s410,s8482]) ).
cnf(s8506,plain,
( spl2_728
| ~ spl2_240
| ~ spl2_192
| spl2_700
| spl2_715
| spl2_204
| spl2_205
| ~ spl2_151 ),
inference(rat,[],[s3043,s7478,s6647,s6601,s4526,s6642]) ).
cnf(s8507,plain,
( spl2_166
| spl2_15
| ~ spl2_368
| spl2_212
| spl2_715
| spl2_499
| ~ spl2_39
| ~ spl2_803
| spl2_502
| ~ spl2_393
| ~ spl2_18
| ~ spl2_164
| spl2_712
| spl2_204
| ~ spl2_139
| ~ spl2_8
| spl2_221
| ~ spl2_34
| spl2_459
| spl2_205
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s2952,s7281,s5062,s6078,s8506,s4834,s5662,s7282,s1023,s1476,s1236,s1290,s1480,s1293,s4296,s1869,s2054,s2825,s7532,s3096,s989,s3175,s7881,s377,s410,s7272,s4202,s2921,s1274]) ).
cnf(s8508,plain,
( spl2_713
| spl2_700
| ~ spl2_178
| ~ spl2_166
| ~ spl2_386
| spl2_804
| spl2_204
| spl2_205 ),
inference(rat,[],[s6077,s6642,s6647,s7001,s2006,s7446,s1967]) ).
cnf(s8509,plain,
( ~ spl2_727
| ~ spl2_1049
| ~ spl2_178
| ~ spl2_395
| ~ spl2_368
| spl2_186
| ~ spl2_39
| spl2_502
| ~ spl2_365
| spl2_204
| ~ spl2_8
| spl2_459
| spl2_188
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1476,s5498,s2825,s2438,s8176,s3003,s1963,s5502,s2009,s2921,s2287,s1274]) ).
cnf(s8510,plain,
( ~ spl2_164
| ~ spl2_21
| ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2033,s6165,s5491,s8509,s8341,s4813,s1979,s8508,s5999,s3289,s1023,s2102,s1875,s1560,s7394,s8507,s115,s5308,s2754,s3872,s899,s1821,s940,s1987,s2000,s2921,s1379,s1396,s1264,s27,s2888,s1412,s1405,s1020,s113,s793,s2521,s7028,s6899,s4640,s1097,s7272,s1623,s994,s4305,s58,s3286,s3255,s247,s99,s5056,s2717,s958,s2664,s7628,s897,s4400,s847,s5424,s8504,s8505,s8484,s8482]) ).
cnf(s8511,plain,
( ~ spl2_21
| ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6211,s5500,s4494,s1463,s5484,s4837,s8510,s70,s994,s5424,s4400,s8504,s8505,s8482]) ).
cnf(s8512,plain,
( spl2_166
| ~ spl2_164
| ~ spl2_221
| ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7386,s7280,s1279,s1289,s2152,s6840,s7173,s7306,s2479,s1232,s2664,s7864,s5662,s7628,s58,s3175,s1316,s2749,s7390,s977,s569,s8489,s6871,s3255,s7272,s8504,s8505,s11,s850,s811,s493,s7943,s8511,s247,s3790,s3162,s994,s8484,s8482]) ).
cnf(s8513,plain,
( ~ spl2_192
| ~ spl2_166
| ~ spl2_164
| ~ spl2_221
| ~ spl2_26
| ~ spl2_175
| ~ spl2_9
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s7178,s5330,s2033,s8272,s3289,s939,s5518,s909,s1560,s603,s7399,s6899,s143,s439,s431,s1623,s493,s3162,s994,s8482]) ).
cnf(s8514,plain,
( spl2_513
| ~ spl2_77
| ~ spl2_139
| spl2_21
| spl2_205
| spl2_154 ),
inference(rat,[],[s1567,s3861,s1480,s2479,s6840,s493,s7943,s8484]) ).
cnf(s8515,plain,
( ~ spl2_513
| ~ spl2_362
| ~ spl2_368
| spl2_510
| ~ spl2_190
| spl2_459 ),
inference(rat,[],[s4988,s1418,s2825]) ).
cnf(s8516,plain,
( ~ spl2_502
| ~ spl2_227
| ~ spl2_190
| ~ spl2_544
| ~ spl2_164
| spl2_517
| ~ spl2_175
| ~ spl2_9
| spl2_205
| spl2_22 ),
inference(rat,[],[s3288,s4313,s4988,s5752,s6850,s1869,s2302,s5121,s1410]) ).
cnf(s8517,plain,
( ~ spl2_164
| ~ spl2_221
| ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1567,s3861,s1480,s2479,s5475,s8516,s977,s4151,s8514,s8515,s7397,s7515,s115,s5106,s2677,s3999,s2168,s6259,s1564,s939,s5518,s1560,s1329,s2290,s603,s2134,s4706,s7178,s577,s8230,s3289,s6211,s6795,s5468,s2118,s7162,s8513,s1327,s8512,s4640,s3255,s410,s8504,s8505,s4202,s1623,s493,s7943,s8511,s2654,s247,s3790,s3162,s994,s8484,s8482]) ).
cnf(s8518,plain,
( ~ spl2_221
| ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2255,s6108,s6092,s8366,s1713,s1271,s2683,s6630,s3999,s3918,s5759,s58,s7306,s6196,s5498,s1566,s4219,s6850,s7399,s2206,s6871,s5122,s3060,s5041,s2922,s1417,s5553,s569,s628,s3283,s6646,s8245,s7383,s3967,s4328,s5468,s7282,s603,s3631,s3224,s1554,s4807,s3874,s1463,s993,s6526,s5484,s378,s4837,s623,s8517,s247,s3790,s3162,s994,s410,s7272,s8504,s8505,s11,s478,s3255,s493,s7943,s8511,s8484,s8482]) ).
cnf(s8519,plain,
( spl2_166
| spl2_70
| ~ spl2_57
| ~ spl2_164
| ~ spl2_191
| ~ spl2_20
| ~ spl2_175
| spl2_188
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s977,s1316,s8489,s6871,s8484]) ).
cnf(s8520,plain,
( ~ spl2_504
| spl2_499
| spl2_513
| ~ spl2_360
| ~ spl2_192
| spl2_70
| ~ spl2_164
| spl2_508
| ~ spl2_225
| ~ spl2_191
| spl2_21
| ~ spl2_175
| ~ spl2_9
| spl2_205
| ~ spl2_43 ),
inference(rat,[],[s2255,s6108,s6092,s8331,s4978,s3073,s6502,s7278,s6851,s4351,s7386,s5344,s7280,s2919,s1279,s5121,s1410,s2736,s7272,s11,s3872,s1379,s4830,s8484]) ).
cnf(s8521,plain,
( spl2_513
| ~ spl2_360
| spl2_82
| ~ spl2_192
| spl2_70
| ~ spl2_164
| spl2_508
| ~ spl2_225
| spl2_21
| ~ spl2_175
| ~ spl2_9
| spl2_205
| spl2_154
| ~ spl2_43 ),
inference(rat,[],[s1567,s3861,s1480,s2479,s8520,s1271,s8514,s493,s7943,s247,s3790,s8484]) ).
cnf(s8522,plain,
( ~ spl2_164
| ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6171,s5498,s1869,s8515,s4219,s7532,s8521,s2168,s1564,s5518,s3289,s1560,s7397,s7399,s1875,s8519,s6629,s6807,s965,s3872,s7515,s6899,s1379,s429,s439,s4830,s7149,s3162,s897,s58,s7028,s3255,s7272,s8504,s8505,s4202,s1623,s2738,s5056,s2664,s5490,s5477,s8518,s11,s850,s811,s493,s7943,s8511,s8482]) ).
cnf(s8523,plain,
( ~ spl2_175
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6521,s1554,s7367,s3289,s6142,s5473,s562,s1463,s4837,s623,s8522,s1131,s8518,s493,s7943,s8511,s3255,s8504,s8505,s8482]) ).
cnf(s8524,plain,
( ~ spl2_221
| ~ spl2_50
| ~ spl2_37
| spl2_77
| ~ spl2_178
| ~ spl2_176
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s4151,s4500,s2134,s4393,s7178,s1327,s5330,s984,s499,s152,s174,s27,s2842,s569,s1362,s189]) ).
cnf(s8525,plain,
( ~ spl2_164
| spl2_221
| ~ spl2_504
| spl2_510
| ~ spl2_21
| ~ spl2_178
| ~ spl2_9
| spl2_205
| spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s4949,s7281,s5306,s5776,s1979,s4813,s8341,s5491,s3075,s7973,s2202,s2757,s6171,s3288,s3283,s1467,s2305,s1428,s1417,s2000,s972,s2287,s2921,s1202,s5475,s1212,s27,s1248,s1412,s119,s113,s2521,s6899,s7028,s4640,s2766,s7272,s4305,s58,s3286,s5056,s2664,s7628,s897,s4400,s847,s5424,s2914,s8484,s8482]) ).
cnf(s8526,plain,
( spl2_166
| ~ spl2_186
| spl2_70
| ~ spl2_37
| ~ spl2_178
| spl2_154
| spl2_22 ),
inference(rat,[],[s27,s972,s152,s7388,s984]) ).
cnf(s8527,plain,
( ~ spl2_192
| ~ spl2_186
| spl2_57
| ~ spl2_37
| ~ spl2_21
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s27,s4827,s921,s917,s5199,s1332,s631,s8482]) ).
cnf(s8528,plain,
( ~ spl2_21
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s4949,s7281,s5306,s5776,s1979,s4813,s8341,s5491,s3967,s7973,s7280,s2104,s2639,s2305,s1418,s1202,s5475,s2000,s2287,s2921,s1023,s1248,s1412,s27,s2615,s248,s493,s501,s1554,s6521,s6806,s8527,s7397,s8526,s628,s623,s8525,s8524,s8197,s4202,s5682,s1346,s1628,s2664,s5056,s247,s7628,s58,s70,s99,s189,s847,s897,s5424,s4400,s631,s410,s7272,s8504,s8505,s1770,s1668,s1564,s5518,s8005,s8007,s8523,s3255,s8484,s8482]) ).
cnf(s8529,plain,
( ~ spl2_192
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s247,s8197,s3790,s8234,s3162,s8515,s897,s2859,s58,s7472,s4500,s5308,s2754,s2749,s3874,s2033,s4758,s8504,s8505,s4640,s6526,s1554,s4393,s2168,s2134,s4153,s1327,s7011,s5330,s1362,s4202,s1650,s1329,s603,s4706,s566,s6871,s569,s7952,s47,s493,s7943,s8528,s1564,s5518,s8005,s8007,s8523,s3255,s8482,s8484]) ).
cnf(s8530,plain,
( spl2_804
| ~ spl2_1062
| ~ spl2_1060
| ~ spl2_1040
| spl2_204
| ~ spl2_776
| spl2_508
| ~ spl2_502
| ~ spl2_57
| ~ spl2_1065
| ~ spl2_360
| ~ spl2_191
| ~ spl2_178
| spl2_205
| spl2_154 ),
inference(rat,[],[s5575,s5733,s2237,s5305,s5306,s6092,s5343,s5647,s7281,s4536,s4813,s8341,s7272,s8482]) ).
cnf(s8531,plain,
( spl2_513
| ~ spl2_57
| spl2_70
| spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6641,s6777,s4995,s5637,s6647,s6125,s4344,s2997,s6872,s2242,s5502,s6504,s2922,s8530,s6120,s5549,s7748,s5752,s4313,s3288,s4988,s6850,s1271,s2682,s2302,s2305,s977,s6619,s5052,s1410,s4151,s7910,s2736,s8514,s4868,s2134,s4153,s1327,s7011,s5330,s1362,s5491,s4640,s6526,s8197,s247,s3791,s4202,s1650,s1329,s603,s4706,s566,s6871,s569,s7952,s1564,s5518,s8005,s6521,s6179,s7468,s8529,s47,s1554,s493,s7943,s8528,s8007,s8523,s3255,s897,s8504,s8505,s8484,s8482]) ).
cnf(s8532,plain,
( ~ spl2_513
| spl2_186
| ~ spl2_360
| ~ spl2_8
| ~ spl2_164
| ~ spl2_178
| ~ spl2_176
| spl2_161 ),
inference(rat,[],[s1476,s5122,s3288,s5498,s3283,s1467,s4219,s1438,s1417,s3255]) ).
cnf(s8533,plain,
( spl2_154
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s5034,s8531,s58,s4500,s4151,s8514,s8532,s6521,s6179,s247,s7468,s3791,s8529,s2134,s4153,s4393,s1329,s1327,s6871,s603,s7011,s6526,s569,s4706,s5330,s1554,s7952,s566,s493,s47,s7943,s8528,s1362,s8007,s8005,s8523,s8505,s3255,s8482,s8484]) ).
cnf(s8534,plain,
( ~ spl2_212
| ~ spl2_235
| ~ spl2_34
| ~ spl2_21
| spl2_188
| ~ spl2_175
| spl2_22 ),
inference(rat,[],[s113,s4401,s8123,s4448]) ).
cnf(s8535,plain,
( spl2_513
| spl2_509
| spl2_502
| ~ spl2_1136
| ~ spl2_371
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s3288,s7366,s6229,s2736]) ).
cnf(s8536,plain,
( ~ spl2_39
| ~ spl2_1136
| ~ spl2_371
| ~ spl2_360
| ~ spl2_51
| ~ spl2_21
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6194,s5498,s7927,s4219,s8535,s1245,s1411,s1274,s3255,s2133,s8533,s8484]) ).
cnf(s8537,plain,
( ~ spl2_164
| spl2_9
| ~ spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s4798,s6792,s5649,s5034,s58,s7028,s113,s27,s8536,s6142,s6098,s5474,s562,s2041,s3289,s909,s4640,s631,s994,s56,s7486,s6199,s8534,s926,s3307,s4400,s7272,s3255,s8533,s8482]) ).
cnf(s8538,plain,
( ~ spl2_206
| ~ spl2_235
| spl2_221
| ~ spl2_21
| spl2_188
| ~ spl2_154 ),
inference(rat,[],[s4834,s7165,s7282,s4494,s5156]) ).
cnf(s8539,plain,
( ~ spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s5503,s2302,s1527,s1976,s2736,s4202,s8508,s8532,s1650,s4296,s1587,s1564,s7594,s2754,s2072,s1456,s977,s5519,s2842,s2000,s1532,s2921,s2041,s1379,s1396,s2751,s4392,s27,s3289,s1405,s1020,s2857,s113,s909,s1412,s2521,s7028,s7399,s247,s2664,s5056,s3286,s7628,s58,s4305,s99,s847,s897,s5424,s8537,s5484,s8538,s1327,s6199,s8534,s926,s1137,s994,s3307,s4400,s3255,s8533,s7272,s8484,s8482]) ).
cnf(s8540,plain,
( spl2_178
| ~ spl2_192
| ~ spl2_164
| spl2_9
| spl2_70
| spl2_21
| spl2_188
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s8488,s3649,s6862,s7156,s7011,s2134,s7910,s4151,s2860,s977,s1587,s1105,s939,s1332,s6199,s413,s377,s7486,s909,s5467,s7279,s7282,s47,s7005,s56,s4640,s8482]) ).
cnf(s8541,plain,
( spl2_513
| spl2_541
| spl2_502
| ~ spl2_139
| spl2_21
| ~ spl2_43 ),
inference(rat,[],[s2479,s3861,s2736,s8484]) ).
cnf(s8542,plain,
( ~ spl2_191
| spl2_459
| spl2_361
| ~ spl2_178
| ~ spl2_192
| ~ spl2_368
| spl2_56
| ~ spl2_51
| spl2_15
| ~ spl2_139
| ~ spl2_25
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_154
| ~ spl2_43 ),
inference(rat,[],[s7239,s6381,s3075,s3880,s7748,s2825,s7927,s7532,s8541,s1567,s3844,s6645,s1456,s8488,s3649,s6871,s1554,s2041,s377,s7394,s4202,s8484]) ).
cnf(s8543,plain,
( ~ spl2_192
| ~ spl2_164
| spl2_9
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s4151,s977,s2134,s1569,s7156,s8542,s1617,s3804,s2754,s3872,s1332,s413,s7394,s1587,s3285,s939,s2041,s8540,s7272,s2654,s247,s3790,s7005,s56,s3162,s994,s7515,s7047,s8482]) ).
cnf(s8544,plain,
( spl2_178
| ~ spl2_549
| ~ spl2_164
| spl2_9
| spl2_188
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43 ),
inference(rat,[],[s1456,s1587,s4151,s939,s2134,s6199,s413,s601,s7486,s2975,s909,s7279,s7282]) ).
cnf(s8545,plain,
( ~ spl2_191
| spl2_176
| spl2_166
| ~ spl2_178
| spl2_950
| ~ spl2_184
| ~ spl2_371
| ~ spl2_233
| ~ spl2_164
| spl2_9
| spl2_70
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s2849,s6125,s6139,s8366,s1270,s3974,s6349,s5748,s3288,s1467,s3882,s5652,s6085,s6086,s6088,s8257,s1246,s1567,s6642,s2664,s6645,s6392,s4827,s2817,s1456,s27,s603,s2577,s8488,s3895,s3224,s570,s850,s3649,s6871,s811,s11,s7005,s56,s7515,s7047,s377,s1587,s7272,s8482,s8484]) ).
cnf(s8546,plain,
( spl2_166
| spl2_950
| ~ spl2_164
| spl2_9
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s4151,s977,s2134,s1569,s7156,s8545,s3285,s939,s6199,s413,s562,s5474,s4640,s56,s6211,s2654,s3162,s994,s8544,s2118,s8543,s7272,s8482]) ).
cnf(s8547,plain,
( spl2_504
| spl2_513
| ~ spl2_191
| ~ spl2_57
| ~ spl2_166
| ~ spl2_139
| spl2_21
| spl2_205 ),
inference(rat,[],[s7490,s2334,s1567,s4529,s3861,s2479,s8484]) ).
cnf(s8548,plain,
( ~ spl2_191
| ~ spl2_57
| spl2_510
| spl2_459
| ~ spl2_458
| ~ spl2_176
| ~ spl2_362
| ~ spl2_166
| ~ spl2_371
| spl2_192
| ~ spl2_368
| ~ spl2_164
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s6572,s4529,s4450,s5752,s5342,s4313,s3288,s6229,s4957,s2119,s8105,s6644,s1869,s7280,s3844,s5121,s5475,s8547,s2182,s4406,s8515,s5330,s565,s7272,s247,s3790,s2368,s2654,s3162,s994,s562,s4202,s8482]) ).
cnf(s8549,plain,
( spl2_504
| spl2_513
| spl2_244
| ~ spl2_371
| ~ spl2_233
| ~ spl2_139
| ~ spl2_221
| spl2_21
| spl2_188
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s6530,s4957,s7280,s6229,s2401,s3288,s3861,s7331,s2479,s5196,s8484]) ).
cnf(s8550,plain,
( spl2_513
| spl2_191
| spl2_244
| ~ spl2_57
| spl2_517
| ~ spl2_176
| ~ spl2_371
| ~ spl2_233
| ~ spl2_164
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s3827,s1214,s6851,s3517,s5752,s2305,s4529,s3861,s5390,s6724,s6644,s1869,s7280,s3844,s5121,s5475,s8549,s7272,s11,s247,s3790,s3162,s994,s8484,s8482]) ).
cnf(s8551,plain,
( ~ spl2_164
| spl2_9
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6171,s3283,s5498,s8515,s1428,s4219,s8550,s8548,s1120,s6521,s5649,s4827,s4202,s27,s2168,s1650,s2842,s1564,s569,s1362,s5518,s1587,s7394,s7397,s7486,s8546,s8544,s3364,s6211,s5474,s2118,s562,s8543,s7515,s6998,s4640,s3255,s8533,s7272,s8539,s2654,s7047,s7005,s56,s3162,s994,s8482]) ).
cnf(s8552,plain,
( spl2_166
| ~ spl2_241
| ~ spl2_179
| spl2_37
| spl2_77
| spl2_56
| spl2_70
| spl2_21
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s7156,s6871,s2134,s8488,s4151,s1104,s3804,s3285,s939,s6199,s8484]) ).
cnf(s8553,plain,
( ~ spl2_176
| ~ spl2_547
| ~ spl2_192
| ~ spl2_544
| spl2_164
| ~ spl2_51
| ~ spl2_154
| ~ spl2_43 ),
inference(rat,[],[s7024,s4153,s3747,s2023,s1444]) ).
cnf(s8554,plain,
( spl2_513
| ~ spl2_191
| ~ spl2_57
| ~ spl2_1025
| ~ spl2_166
| ~ spl2_206
| ~ spl2_139
| spl2_21
| spl2_205
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s7570,s5608,s6644,s3288,s3844,s5187,s5475,s8547,s7282,s5156,s7272]) ).
cnf(s8555,plain,
( ~ spl2_513
| spl2_459
| ~ spl2_368
| ~ spl2_206
| ~ spl2_51 ),
inference(rat,[],[s5187,s2825,s7927]) ).
cnf(s8556,plain,
( ~ spl2_192
| spl2_37
| spl2_164
| ~ spl2_51
| spl2_70
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s8554,s7156,s8555,s4827,s27,s1616,s2134,s3552,s4151,s1104,s5308,s3804,s7383,s3285,s8553,s8552,s3872,s1332,s1463,s247,s3790,s7005,s378,s7282,s7279,s5156,s5484,s7272,s8484]) ).
cnf(s8557,plain,
( ~ spl2_371
| spl2_37
| ~ spl2_183
| spl2_56 ),
inference(rat,[],[s27,s4827,s3895,s5649,s8484]) ).
cnf(s8558,plain,
( spl2_9
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6194,s5498,s7927,s4219,s8541,s5122,s2401,s5121,s3283,s7486,s7383,s3967,s8552,s5474,s3872,s8557,s8556,s7282,s5156,s993,s6526,s5484,s378,s623,s8551,s7005,s56,s3255,s2133,s8533,s7272,s8539,s247,s3790,s3162,s994,s8484,s8482]) ).
cnf(s8559,plain,
( ~ spl2_192
| ~ spl2_164
| ~ spl2_9
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s7912,s6381,s3075,s7748,s2825,s7532,s8541,s1567,s3844,s4202,s6645,s1617,s6871,s1456,s7895,s7394,s3804,s1569,s1587,s3285,s977,s939,s2749,s429,s2041,s2660,s3289,s5308,s965,s2754,s8393,s3872,s1379,s4830,s7272,s2654,s247,s3790,s3162,s994,s4640,s8484,s8482]) ).
cnf(s8560,plain,
( spl2_166
| ~ spl2_164
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2849,s6125,s6139,s58,s8366,s7306,s6085,s6086,s6088,s6349,s6070,s3288,s1270,s2660,s1467,s5308,s965,s2754,s3882,s1417,s1379,s8541,s5580,s1567,s3844,s3224,s7279,s6645,s3649,s1456,s1569,s1587,s3285,s5656,s977,s939,s2749,s6199,s377,s7272,s11,s247,s3790,s4640,s6211,s2118,s8559,s8558,s8539,s8533,s3255,s2654,s3162,s994,s8482,s8484]) ).
cnf(s8561,plain,
( ~ spl2_504
| ~ spl2_482
| spl2_513
| ~ spl2_190
| spl2_517
| ~ spl2_544
| ~ spl2_164
| ~ spl2_9
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s977,s4151,s8516,s6840,s5475]) ).
cnf(s8562,plain,
( ~ spl2_191
| ~ spl2_362
| spl2_510
| spl2_459
| ~ spl2_458
| ~ spl2_368
| ~ spl2_176
| ~ spl2_166
| ~ spl2_164
| ~ spl2_9
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s3283,s2401,s6530,s8541,s3208,s8213,s8561,s2134,s4153,s7011,s8515,s5330,s565,s47,s247,s3790,s2368,s2654,s3162,s994,s562,s8559,s1327,s4202,s8482]) ).
cnf(s8563,plain,
( spl2_504
| spl2_513
| ~ spl2_166
| ~ spl2_233
| ~ spl2_9
| ~ spl2_139
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s3283,s2401,s6530,s8541,s3208,s8213]) ).
cnf(s8564,plain,
( ~ spl2_502
| ~ spl2_386
| ~ spl2_241
| ~ spl2_176
| ~ spl2_9
| spl2_205
| ~ spl2_175
| ~ spl2_154
| spl2_22 ),
inference(rat,[],[s3827,s6851,s1273,s5344,s3288,s7280,s2919,s1194,s5121,s1410,s7272]) ).
cnf(s8565,plain,
( spl2_513
| spl2_502
| ~ spl2_166
| ~ spl2_233
| ~ spl2_9
| ~ spl2_139
| ~ spl2_221
| spl2_21
| spl2_205
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s2736,s8563]) ).
cnf(s8566,plain,
( spl2_371
| ~ spl2_176
| ~ spl2_164
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1296,s6521,s2825,s8532,s8565,s8346,s8564,s2134,s7156,s926,s8562,s7397,s115,s2168,s1650,s5106,s6807,s1564,s1362,s2660,s3289,s7399,s5308,s965,s2754,s8393,s3631,s3872,s11,s247,s3790,s4640,s562,s6211,s2118,s8559,s8558,s8539,s8533,s3255,s2654,s3162,s994,s8560,s5518,s8482,s8484]) ).
cnf(s8567,plain,
( spl2_513
| ~ spl2_176
| ~ spl2_164
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6851,s3827,s5752,s1214,s1869,s3517,s1542,s7280,s2305,s5121,s1410,s2290,s8565,s8276,s7272,s7943,s247,s3790,s3162,s994,s562,s8559,s8558,s8539,s8533,s3255,s1327,s8560,s8482]) ).
cnf(s8568,plain,
( ~ spl2_8
| ~ spl2_513
| ~ spl2_176
| ~ spl2_166
| ~ spl2_164
| spl2_161 ),
inference(rat,[],[s1476,s5122,s3288,s5498,s3289,s3283,s1467,s4219,s909,s1428,s1417,s1329,s2290,s3255]) ).
cnf(s8569,plain,
( ~ spl2_176
| ~ spl2_164
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7156,s525,s565,s262,s4706,s603,s8568,s8567,s248,s27,s1404,s1379,s8566,s2368,s2654,s3162,s994,s8559,s8558,s8539,s8533,s3255,s8560,s8484,s8482]) ).
cnf(s8570,plain,
( ~ spl2_164
| ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2677,s804,s3999,s8402,s6259,s5106,s601,s2749,s115,s3125,s1456,s7394,s2981,s1587,s3285,s8569,s1327,s8560,s6211,s2118,s8559,s3255,s8533,s7272,s8539,s2654,s3162,s994,s8558,s8484,s8482]) ).
cnf(s8571,plain,
( ~ spl2_700
| ~ spl2_57
| ~ spl2_520
| ~ spl2_513
| spl2_792
| spl2_719
| spl2_100
| spl2_188 ),
inference(rat,[],[s2946,s6312,s7281,s6125,s6129]) ).
cnf(s8572,plain,
( ~ spl2_221
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7281,s6078,s2952,s6642,s5044,s6606,s7166,s8571,s6572,s6796,s4005,s58,s2134,s6342,s7156,s3282,s6196,s2479,s6850,s6194,s2206,s5498,s1414,s4219,s8565,s7399,s5122,s2401,s5121,s2285,s5041,s2922,s5635,s6199,s3283,s6646,s939,s1269,s2716,s8402,s3967,s4328,s3285,s6619,s8258,s3804,s7472,s977,s1104,s8396,s603,s7279,s7282,s3631,s3872,s562,s3224,s4807,s5156,s3874,s1463,s993,s6526,s5484,s378,s4837,s623,s8570,s8558,s247,s2654,s3790,s3162,s994,s3255,s2133,s8533,s7272,s11,s8539,s8482,s8484]) ).
cnf(s8573,plain,
( spl2_166
| spl2_9
| ~ spl2_164
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7173,s3075,s8571,s2825,s8331,s8541,s6085,s6089,s6086,s1567,s3844,s6070,s6645,s1456,s8488,s1271,s3649,s1627,s6871,s6632,s926,s965,s3631,s6109,s1332,s247,s1587,s3285,s7005,s7149,s3790,s939,s5034,s6199,s413,s377,s3255,s8533,s7272,s2738,s2664,s850,s6636,s58,s2365,s5490,s5477,s8572,s11,s8539,s56,s7515,s7047,s8484,s8482]) ).
cnf(s8574,plain,
( spl2_513
| ~ spl2_77
| ~ spl2_1136
| ~ spl2_139
| ~ spl2_70
| ~ spl2_233
| ~ spl2_178
| ~ spl2_176
| ~ spl2_166
| ~ spl2_57
| spl2_21
| spl2_205
| spl2_22 ),
inference(rat,[],[s1476,s5122,s7490,s3283,s2334,s6530,s4529,s3207,s3288,s3861,s7366,s2479,s6840,s8484]) ).
cnf(s8575,plain,
( spl2_9
| ~ spl2_164
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s3827,s1273,s1418,s2825,s8574,s5034,s6142,s247,s7149,s562,s3791,s2168,s1650,s2041,s1564,s939,s5518,s3289,s1587,s909,s7394,s7397,s7486,s8573,s7515,s7047,s3255,s8533,s7272,s58,s2365,s8572,s8539]) ).
cnf(s8576,plain,
( ~ spl2_164
| spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7173,s3075,s8571,s2825,s8331,s8541,s6085,s6089,s6086,s1567,s3844,s1271,s6070,s6645,s4472,s1627,s1456,s2371,s1569,s1587,s3285,s977,s939,s2749,s2041,s6628,s3289,s965,s8393,s7515,s1379,s429,s439,s4830,s247,s7149,s3790,s3162,s897,s8575,s2664,s850,s6636,s58,s2365,s3255,s8533,s7272,s2738,s5490,s5477,s8572,s11,s8539,s8482]) ).
cnf(s8577,plain,
( spl2_205
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s3649,s8556,s377,s56,s7158,s4837,s1332,s1463,s7149,s3162,s3307,s6318,s4834,s7282,s5156,s5484,s378,s8576,s2738,s8572,s11,s8539,s7272,s3255,s8533,s8482]) ).
cnf(s8578,plain,
( spl2_166
| ~ spl2_164
| ~ spl2_21
| ~ spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s8534,s947,s6199,s926,s3307,s4400,s8482]) ).
cnf(s8579,plain,
( ~ spl2_212
| ~ spl2_235
| ~ spl2_34
| ~ spl2_21
| ~ spl2_175
| spl2_22 ),
inference(rat,[],[s113,s4392,s8123,s4448]) ).
cnf(s8580,plain,
( ~ spl2_176
| ~ spl2_371
| ~ spl2_41
| ~ spl2_178
| ~ spl2_51
| ~ spl2_544
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s980,s7024,s1312,s4153,s5580,s6259,s1810,s7260,s8579,s926,s3307,s8533,s4400,s2787,s8577,s3255,s8482]) ).
cnf(s8581,plain,
( spl2_9
| ~ spl2_164
| ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2577,s189,s793,s3734,s6175,s6109,s1587,s3285,s8580,s3364,s5474,s562,s2041,s2783,s3289,s1550,s909,s7394,s7514,s7486,s56,s7047,s994,s1659,s8579,s926,s3307,s4400,s4640,s1327,s8578,s2787,s8577,s8533,s3255,s8482]) ).
cnf(s8582,plain,
( ~ spl2_9
| ~ spl2_34
| ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s396,s7628,s847,s897,s5424,s8484,s8482]) ).
cnf(s8583,plain,
( ~ spl2_175
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s559,s7266,s27,s8538,s921,s5484,s8581,s8582,s926,s994,s3307,s4400,s2787,s8577,s8533,s8482]) ).
cnf(s8584,plain,
( ~ spl2_212
| ~ spl2_21
| ~ spl2_164
| spl2_205
| spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s6077,s6647,s2922,s7606,s6646,s5491,s7928,s4758,s4813,s2134,s8125,s6070,s7279,s3285,s3372,s113,s4393,s1569,s8258,s7014,s4401,s4500,s977,s4448,s2749,s7262,s4640,s3307,s70,s58,s2664,s847,s5424,s7628,s897,s4400,s56,s7937,s8482,s8484]) ).
cnf(s8585,plain,
( ~ spl2_21
| ~ spl2_164
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1976,s2302,s8508,s5503,s2754,s1527,s8535,s2736,s6142,s4202,s8568,s569,s1654,s1587,s4296,s1456,s977,s1564,s2109,s2751,s562,s5519,s2842,s1821,s2000,s2855,s1532,s2921,s2041,s4392,s27,s1413,s1249,s3289,s113,s793,s909,s6342,s7399,s1327,s6199,s8584,s247,s2664,s3286,s7628,s58,s4305,s99,s847,s897,s3307,s5424,s4400,s3255,s7956,s7262,s8533,s56,s7937,s8583,s8482,s8484]) ).
cnf(s8586,plain,
( ~ spl2_176
| ~ spl2_192
| spl2_206
| spl2_166
| ~ spl2_221
| spl2_21
| spl2_22 ),
inference(rat,[],[s7156,s2134,s6871,s4758,s569,s4947,s8484]) ).
cnf(s8587,plain,
( ~ spl2_192
| spl2_206
| spl2_264
| spl2_166
| ~ spl2_221
| spl2_21
| ~ spl2_164
| spl2_205
| spl2_188
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s6382,s7748,s6102,s3075,s7532,s4211,s2829,s8541,s4202,s1567,s3844,s1617,s6645,s7895,s3804,s2981,s1569,s1587,s3285,s8586,s418,s997,s2660,s247,s1105,s5307,s965,s2754,s3872,s3790,s1332,s4947,s4640,s47,s413,s977,s8484]) ).
cnf(s8588,plain,
( spl2_166
| ~ spl2_164
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6126,s7281,s6646,s2946,s2997,s6312,s6125,s8366,s6085,s6088,s7777,s6070,s7091,s1270,s2681,s5549,s3974,s6317,s6521,s1202,s58,s7092,s1554,s1246,s7306,s5390,s7279,s6645,s3224,s3162,s6349,s7472,s3649,s3307,s2401,s3288,s2859,s1798,s3283,s1467,s1418,s4576,s1428,s1414,s3882,s5475,s8265,s5503,s3880,s8266,s7247,s247,s5491,s3791,s8587,s8258,s6899,s5656,s977,s4306,s5555,s2749,s6177,s6199,s377,s3255,s2133,s7262,s8533,s4640,s56,s7937,s11,s7952,s47,s8585,s8583,s8482,s8484]) ).
cnf(s8589,plain,
( ~ spl2_192
| ~ spl2_166
| ~ spl2_221
| spl2_21
| ~ spl2_9
| ~ spl2_164
| spl2_188
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s7011,s5330,s4153,s7156,s2134,s4758,s1362,s1587,s1456,s2749,s4947,s2041,s5156,s3289,s909,s1329,s603,s143,s431,s7943,s47,s1327]) ).
cnf(s8590,plain,
( ~ spl2_190
| ~ spl2_176
| ~ spl2_164
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s4988,s3288,s6851,s4313,s8459,s977,s4151,s2134,s6840,s8565,s4153,s8568,s7011,s603,s4989,s4706,s1327,s562,s8266,s7247,s5491,s4640,s247,s3791,s8589,s8588,s56,s7937,s3255,s7952,s47,s8585,s7262,s8583,s8533]) ).
cnf(s8591,plain,
( ~ spl2_700
| spl2_1032
| spl2_719
| spl2_510
| ~ spl2_368
| ~ spl2_57
| ~ spl2_221 ),
inference(rat,[],[s2849,s6125,s6139]) ).
cnf(s8592,plain,
( ~ spl2_176
| ~ spl2_164
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6077,s2849,s6642,s3202,s6606,s7166,s8591,s4978,s4030,s4532,s6502,s3288,s7278,s1271,s6851,s4313,s4351,s6628,s8459,s2167,s3975,s977,s7515,s1564,s4151,s100,s3289,s6840,s8565,s2182,s909,s8568,s7399,s603,s187,s143,s527,s6280,s517,s2134,s7156,s3162,s897,s2664,s58,s5490,s6342,s3282,s5482,s586,s8590,s5518,s7943,s1327,s850,s8461,s11,s562,s7257,s8266,s7247,s5491,s4640,s247,s3791,s8589,s8588,s56,s7937,s3255,s7952,s47,s8585,s7262,s8583,s8533,s8482]) ).
cnf(s8593,plain,
( ~ spl2_164
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1624,s6850,s1560,s2206,s6899,s1414,s187,s6840,s527,s7910,s4153,s2860,s4458,s1587,s3285,s8592,s8266,s7247,s7257,s247,s5491,s3791,s8589,s1327,s8588,s7952,s47,s8585,s56,s7937,s4640,s3255,s427,s7262,s8583,s8533]) ).
cnf(s8594,plain,
( ~ spl2_206
| ~ spl2_235
| ~ spl2_21
| spl2_175
| ~ spl2_154 ),
inference(rat,[],[s7165,s7470,s4494,s5156,s7262]) ).
cnf(s8595,plain,
( ~ spl2_221
| spl2_166
| spl2_9
| ~ spl2_21
| spl2_164
| spl2_205
| spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s5474,s7383,s6168,s2922,s6647,s6646,s4586,s7928,s2283,s4813,s6085,s7657,s8125,s6642,s2719,s2682,s3512,s7175,s808,s6323,s7231,s4827,s58,s4298,s4079,s2052,s7792,s6526,s631,s562,s247,s56,s7255,s3791,s5199,s8594,s926,s3307,s4400,s623,s377,s113,s4401,s4448,s6199,s7262,s8484,s8482]) ).
cnf(s8596,plain,
( spl2_166
| spl2_9
| ~ spl2_21
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6850,s3880,s7561,s7927,s4576,s7906,s977,s5580,s7900,s7277,s3289,s3285,s6527,s6318,s6109,s6142,s2738,s8595,s113,s4401,s4448,s6199,s377,s7262,s631,s1659,s3255,s562,s247,s3791,s5199,s8594,s926,s3307,s4400,s8583,s8533,s623,s8593,s56,s8482]) ).
cnf(s8597,plain,
( ~ spl2_221
| ~ spl2_166
| ~ spl2_51
| ~ spl2_21
| ~ spl2_186
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7383,s569,s5474,s5684,s3364,s4392,s2577,s113,s793,s6342,s58,s4079,s7792,s993,s3255,s7262,s3791,s5199,s8594,s926,s3307,s4400,s8583,s8533,s8482,s8484]) ).
cnf(s8598,plain,
( spl2_9
| ~ spl2_21
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s6521,s6806,s5649,s5034,s58,s6342,s113,s27,s8536,s6527,s6142,s8597,s7486,s8596,s56,s631,s562,s5199,s8594,s926,s3307,s4400,s8583,s8533,s623,s8593,s8482]) ).
cnf(s8599,plain,
( spl2_166
| ~ spl2_9
| ~ spl2_21
| ~ spl2_186
| spl2_188
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s559,s3285,s4401,s5553,s4448,s6177,s6199,s2133,s926,s3307,s4400,s993,s5424,s8482]) ).
cnf(s8600,plain,
( spl2_513
| spl2_579
| spl2_502
| ~ spl2_139
| ~ spl2_186
| spl2_188
| spl2_175
| ~ spl2_43 ),
inference(rat,[],[s2063,s6856,s2736]) ).
cnf(s8601,plain,
( spl2_728
| ~ spl2_240
| spl2_1032
| ~ spl2_360
| spl2_508
| ~ spl2_186
| spl2_205 ),
inference(rat,[],[s6647,s5653,s4526,s2255]) ).
cnf(s8602,plain,
( ~ spl2_21
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7281,s7953,s6078,s6135,s8601,s7470,s1476,s2063,s6194,s5498,s2438,s8600,s3021,s2855,s1274,s1532,s2921,s4029,s27,s1413,s113,s793,s6342,s7399,s8599,s5056,s2664,s3286,s7628,s58,s4305,s847,s897,s5424,s8598,s247,s3791,s5199,s8594,s926,s3307,s4400,s3255,s2133,s7262,s8583,s8533,s623,s8593,s8484,s8482]) ).
cnf(s8603,plain,
( ~ spl2_211
| ~ spl2_179
| spl2_56
| ~ spl2_241
| spl2_37
| ~ spl2_221
| spl2_22 ),
inference(rat,[],[s3804,s3285,s1104,s569,s8488]) ).
cnf(s8604,plain,
( ~ spl2_192
| spl2_166
| ~ spl2_51
| ~ spl2_183
| ~ spl2_221
| spl2_21
| ~ spl2_186
| spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s2682,s1857,s6619,s4151,s7910,s2134,s7011,s7156,s6874,s6871,s8603,s4583,s7279,s7282,s7005,s3872,s5156,s4805,s1332,s5199,s7262,s47,s993,s377,s413,s8482,s8484]) ).
cnf(s8605,plain,
( spl2_166
| spl2_9
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1418,s2859,s3882,s7910,s6645,s3861,s7011,s6194,s8360,s6874,s6871,s5122,s2401,s569,s3283,s7383,s3967,s5474,s8557,s7005,s3162,s3880,s2056,s8266,s2344,s6179,s247,s7468,s3791,s8604,s6199,s413,s377,s3255,s2133,s7262,s8533,s11,s6526,s993,s7952,s47,s8602,s8583,s623,s8593,s5991,s56,s8484,s8482]) ).
cnf(s8606,plain,
( ~ spl2_192
| ~ spl2_166
| ~ spl2_51
| spl2_37
| ~ spl2_183
| ~ spl2_186
| spl2_175
| ~ spl2_154
| ~ spl2_43 ),
inference(rat,[],[s7158,s8557,s7470,s7005,s5156,s4805,s5199,s7262]) ).
cnf(s8607,plain,
( spl2_9
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s4219,s6644,s3861,s6194,s8360,s5122,s2401,s1554,s3283,s7470,s7383,s3967,s7158,s5474,s8557,s7005,s3162,s2056,s8266,s2344,s6179,s247,s7468,s3791,s8606,s7486,s8605,s56,s5991,s3255,s2133,s7262,s8533,s11,s6526,s993,s7952,s47,s8602,s8583,s623,s8593,s8484,s8482]) ).
cnf(s8608,plain,
( spl2_166
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7279,s7472,s1554,s2859,s1798,s1418,s4576,s3882,s5475,s8265,s5503,s3880,s8266,s6179,s247,s7468,s3791,s5199,s8258,s7383,s977,s5553,s2749,s6177,s6199,s2133,s7262,s8533,s623,s6526,s7952,s47,s8602,s8583,s8593,s8607,s8484]) ).
cnf(s8609,plain,
( ~ spl2_206
| ~ spl2_166
| ~ spl2_9
| spl2_175
| ~ spl2_154 ),
inference(rat,[],[s7158,s7470,s3874,s5156,s7262]) ).
cnf(s8610,plain,
( ~ spl2_176
| ~ spl2_50
| ~ spl2_191
| ~ spl2_184
| ~ spl2_544
| ~ spl2_9
| ~ spl2_26
| ~ spl2_186
| spl2_175
| ~ spl2_154 ),
inference(rat,[],[s4393,s4500,s4989,s2751,s566,s5553]) ).
cnf(s8611,plain,
( ~ spl2_502
| ~ spl2_240
| ~ spl2_166
| ~ spl2_9
| ~ spl2_183
| spl2_205
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1296,s3288,s7588,s1229,s6644,s2334,s3844,s1410,s3255]) ).
cnf(s8612,plain,
( ~ spl2_191
| spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s1445,s1472,s4005,s3288,s6850,s1296,s2206,s7306,s1414,s8565,s8611,s7498,s8610,s58,s187,s5649,s527,s2134,s7158,s4250,s7470,s1554,s3255,s7262,s7943,s11,s6526,s7952,s1327,s562,s247,s7257,s3791,s6179,s7468,s5199,s8609,s8608,s8607,s8533,s623,s8593,s47,s8602,s8583,s8484]) ).
cnf(s8613,plain,
( ~ spl2_502
| spl2_517
| ~ spl2_166
| ~ spl2_9
| ~ spl2_183
| spl2_205
| ~ spl2_154 ),
inference(rat,[],[s1222,s7588,s2192,s6644,s2334,s2305,s3844,s1410]) ).
cnf(s8614,plain,
( spl2_502
| ~ spl2_482
| ~ spl2_25
| ~ spl2_241
| spl2_204
| ~ spl2_235
| ~ spl2_139
| ~ spl2_233
| ~ spl2_166
| ~ spl2_9
| ~ spl2_183
| ~ spl2_221
| spl2_21
| spl2_205
| spl2_175
| ~ spl2_154
| ~ spl2_43
| spl2_22 ),
inference(rat,[],[s3288,s7008,s1296,s2916,s8346,s8565,s11]) ).
cnf(s8615,plain,
( spl2_205
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2401,s3283,s3861,s1618,s7588,s4219,s4202,s6644,s2334,s8613,s3844,s1410,s8614,s2134,s4137,s7156,s2654,s7158,s3872,s3162,s5649,s897,s2664,s58,s5490,s6342,s926,s5482,s8612,s247,s562,s3791,s5199,s8609,s850,s8461,s1329,s8608,s8607,s603,s4807,s6526,s7952,s11,s47,s8602,s623,s8593,s3255,s8533,s8583,s8484,s8482]) ).
cnf(s8616,plain,
( spl2_166
| ~ spl2_21
| ~ spl2_51
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s4393,s4500,s6070,s2781,s6149,s6277,s2922,s3283,s7383,s3967,s5474,s6150,s4932,s5635,s5499,s5502,s4586,s3512,s7928,s2283,s7938,s4813,s8125,s2678,s808,s4827,s58,s3224,s5034,s189,s8121,s113,s4401,s4448,s6199,s3255,s7262,s8615,s631,s562,s5199,s8594,s926,s3307,s4400,s8533,s623,s7937,s8583,s8482,s8484]) ).
cnf(s8617,plain,
( spl2_371
| ~ spl2_21
| ~ spl2_51
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2228,s2681,s2009,s7369,s3975,s1025,s4029,s3297,s3224,s27,s2577,s847,s113,s793,s5502,s396,s6342,s7383,s4328,s3286,s7628,s58,s5474,s2782,s3255,s7262,s8615,s5199,s8594,s926,s3307,s4400,s8533,s623,s7937,s8583,s1327,s8616,s8482,s8484]) ).
cnf(s8618,plain,
( ~ spl2_20
| ~ spl2_166
| spl2_164
| ~ spl2_205 ),
inference(rat,[],[s850,s396,s8461,s8132,s8482]) ).
cnf(s8619,plain,
( ~ spl2_21
| ~ spl2_51
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s396,s847,s2816,s2577,s113,s793,s8618,s3364,s8617,s8616,s8615,s7937,s8583,s8484,s8482]) ).
cnf(s8620,plain,
( spl2_9
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s7154,s5503,s1371,s3880,s2914,s8266,s119,s926,s6179,s247,s6640,s811,s7468,s3791,s850,s8604,s6199,s396,s6526,s8618,s8132,s7952,s11,s47,s8619,s623,s7937,s56,s5920,s3255,s7262,s8583,s8533,s8615,s8484,s8482]) ).
cnf(s8621,plain,
( ~ spl2_21
| ~ spl2_9
| ~ spl2_205
| ~ spl2_43 ),
inference(rat,[],[s8582,s4400,s8482]) ).
cnf(s8622,plain,
( spl2_166
| ~ spl2_43
| spl2_161 ),
inference(rat,[],[s2654,s5034,s3058,s7628,s388,s396,s850,s6640,s5925,s2857,s2749,s6177,s6199,s413,s3255,s2133,s7262,s8583,s8533,s11,s8621,s8620,s8615,s8482,s8484]) ).
cnf(s8623,plain,
( ~ spl2_43
| spl2_161 ),
inference(rat,[],[s3162,s2654,s897,s3058,s7628,s388,s396,s850,s8461,s8622,s11,s8621,s8620,s8615,s8482]) ).
cnf(s8624,plain,
( ~ spl2_221
| ~ spl2_192
| ~ spl2_164
| spl2_98
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_188 ),
inference(rat,[],[s1587,s1456,s7279,s569,s8488,s1361,s6871,s4858,s501,s152,s248,s27,s7005,s2654,s3520,s4699,s994,s1463,s8484]) ).
cnf(s8625,plain,
( ~ spl2_191
| ~ spl2_57
| ~ spl2_192
| ~ spl2_164
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_188
| ~ spl2_248 ),
inference(rat,[],[s2976,s7282,s7174,s2033,s4494,s5553,s939,s4758,s7390,s2134,s975,s4406,s1718,s977,s5555,s1316,s6198,s6871,s8484]) ).
cnf(s8627,plain,
( ~ spl2_504
| spl2_513
| spl2_371
| ~ spl2_1064
| ~ spl2_176
| ~ spl2_178
| spl2_191
| spl2_712
| spl2_204
| ~ spl2_57
| ~ spl2_20
| ~ spl2_192
| spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| ~ spl2_1013
| spl2_205
| spl2_22 ),
inference(rat,[],[s7230,s8062,s8340,s4978,s4532,s6502,s7278,s6851,s4351,s7919,s7272,s2033,s939,s4798,s4805,s2654,s5399,s493,s2182]) ).
cnf(s8628,plain,
( spl2_513
| ~ spl2_176
| ~ spl2_178
| spl2_191
| spl2_712
| spl2_204
| ~ spl2_57
| ~ spl2_20
| ~ spl2_192
| ~ spl2_164
| spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| ~ spl2_1013
| spl2_205
| spl2_161 ),
inference(rat,[],[s5122,s3283,s6608,s8221,s2066,s8627,s3255,s247,s34,s5423,s4798,s4805,s2654,s5399,s493,s4640,s1312,s980,s1718,s2033,s939,s3209,s8623,s5580]) ).
cnf(s8629,plain,
( ~ spl2_513
| ~ spl2_192
| ~ spl2_164
| spl2_517
| ~ spl2_175
| spl2_15
| spl2_43 ),
inference(rat,[],[s1289,s1869,s7535,s7532,s6155,s3220]) ).
cnf(s8630,plain,
( ~ spl2_191
| spl2_513
| ~ spl2_192
| ~ spl2_164
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_188
| spl2_161 ),
inference(rat,[],[s2302,s5503,s7279,s3415,s7389,s977,s1554,s27,s5133,s8488,s4798,s4629,s5195,s7005,s6858,s6204,s8492,s2664,s7000,s7628,s58,s850,s8625,s3649,s6871,s811,s3220,s3209,s8623,s377,s8624,s984,s3255,s8484,s8482]) ).
cnf(s8631,plain,
( ~ spl2_20
| spl2_191
| spl2_513
| spl2_221
| ~ spl2_192
| ~ spl2_164
| spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| ~ spl2_1013
| spl2_205
| spl2_161 ),
inference(rat,[],[s8628,s2717,s2664,s850,s6636,s3285,s3289,s58,s6109,s6318,s5490,s7028,s3255,s5477,s2738,s926,s8482]) ).
cnf(s8632,plain,
( ~ spl2_727
| ~ spl2_395
| ~ spl2_39
| ~ spl2_365
| ~ spl2_163
| spl2_161 ),
inference(rat,[],[s5502,s3003,s2009,s2921]) ).
cnf(s8633,plain,
( ~ spl2_164
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7281,s5776,s4727,s6165,s8632,s1025,s2033,s3285,s3289,s4760,s7146,s7280,s1293,s3445,s2664,s7638,s6645,s2066,s5503,s2574,s6612,s7389,s1301,s1021,s3520,s940,s1274,s2287,s27,s2816,s113,s8631,s8630,s2182,s8629,s8624,s7160,s6998,s3220,s247,s34,s7272,s7047,s56,s6853,s8623,s377,s1097,s984,s3255,s4202,s1623,s8482]) ).
cnf(s8634,plain,
( ~ spl2_221
| spl2_37
| ~ spl2_211
| ~ spl2_547
| spl2_164
| spl2_154
| ~ spl2_21
| ~ spl2_51
| spl2_22 ),
inference(rat,[],[s1858,s7488,s8557,s8488,s3285,s7005,s569,s6526,s4699,s8484]) ).
cnf(s8635,plain,
( spl2_513
| ~ spl2_240
| ~ spl2_264
| ~ spl2_176
| ~ spl2_20
| ~ spl2_225
| ~ spl2_191
| ~ spl2_186
| spl2_161 ),
inference(rat,[],[s3861,s1567,s7381,s1229,s3288,s1272,s2760,s3255,s8484]) ).
cnf(s8636,plain,
( ~ spl2_513
| ~ spl2_70
| ~ spl2_192
| ~ spl2_175
| ~ spl2_21
| spl2_15
| spl2_188
| spl2_43 ),
inference(rat,[],[s5344,s4812,s7280,s4788,s1289,s3207,s7535,s6155,s4211,s3220,s4407,s4798,s4805]) ).
cnf(s8637,plain,
( ~ spl2_176
| ~ spl2_20
| spl2_221
| ~ spl2_191
| ~ spl2_192
| spl2_164
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s3289,s5580,s4834,s1312,s8635,s7920,s8636,s980,s1718,s5272,s4629,s7000,s27,s6198,s972,s5553,s7277,s939,s3255,s3220,s3209,s247,s34,s8623,s7272,s377,s623,s2738]) ).
cnf(s8638,plain,
( ~ spl2_224
| spl2_211
| ~ spl2_163 ),
inference(rat,[],[s6874,s8482]) ).
cnf(s8640,plain,
( spl2_211
| ~ spl2_191
| spl2_166 ),
inference(rat,[],[s6871,s8484]) ).
cnf(s8642,plain,
( ~ spl2_224
| spl2_211
| ~ spl2_163 ),
inference(rat,[],[s6862,s8482]) ).
cnf(s8643,plain,
( ~ spl2_224
| ~ spl2_146 ),
inference(rat,[],[s6848,s8484]) ).
cnf(s8645,plain,
( ~ spl2_1046
| spl2_541
| ~ spl2_500 ),
inference(rat,[],[s6572,s8482]) ).
cnf(s8646,plain,
( spl2_183
| ~ spl2_221
| spl2_164 ),
inference(rat,[],[s6526,s8484]) ).
cnf(s8647,plain,
( spl2_183
| ~ spl2_184
| ~ spl2_186 ),
inference(rat,[],[s6521,s8482]) ).
cnf(s8652,plain,
( ~ spl2_700
| ~ spl2_696
| ~ spl2_221
| ~ spl2_186 ),
inference(rat,[],[s6136,s8484]) ).
cnf(s8653,plain,
( spl2_787
| spl2_716
| ~ spl2_700 ),
inference(rat,[],[s6108,s8484]) ).
cnf(s8662,plain,
( ~ spl2_224
| ~ spl2_472 ),
inference(rat,[],[s5555,s8484]) ).
cnf(s8663,plain,
( spl2_37
| ~ spl2_21
| ~ spl2_9 ),
inference(rat,[],[s5424,s8482]) ).
cnf(s8672,plain,
( ~ spl2_371
| ~ spl2_39
| spl2_37 ),
inference(rat,[],[s3895,s8484]) ).
cnf(s8673,plain,
( ~ spl2_520
| spl2_541
| spl2_513 ),
inference(rat,[],[s3861,s8484]) ).
cnf(s8678,plain,
( spl2_186
| ~ spl2_161 ),
inference(rat,[],[s3595,s8484]) ).
cnf(s8679,plain,
( ~ spl2_161
| ~ spl2_164 ),
inference(rat,[],[s3581,s8482]) ).
cnf(s8680,plain,
( ~ spl2_264
| ~ spl2_39
| spl2_37 ),
inference(rat,[],[s3552,s8484]) ).
cnf(s8687,plain,
( ~ spl2_22
| spl2_6 ),
inference(rat,[],[s3261,s8484]) ).
cnf(s8688,plain,
( ~ spl2_6
| spl2_37 ),
inference(rat,[],[s3224,s8484,s8482]) ).
cnf(s8693,plain,
( spl2_803
| ~ spl2_123 ),
inference(rat,[],[s2888,s8482]) ).
cnf(s8694,plain,
( ~ spl2_18
| ~ spl2_472
| spl2_188 ),
inference(rat,[],[s2857,s8484]) ).
cnf(s8695,plain,
( ~ spl2_39
| ~ spl2_472 ),
inference(rat,[],[s2855,s8484]) ).
cnf(s8702,plain,
( spl2_950
| ~ spl2_123
| spl2_37 ),
inference(rat,[],[s2577,s8482]) ).
cnf(s8713,plain,
( spl2_716
| ~ spl2_710
| ~ spl2_39 ),
inference(rat,[],[s2245,s8482]) ).
cnf(s8727,plain,
( ~ spl2_67
| ~ spl2_161
| spl2_172 ),
inference(rat,[],[s1759,s8482]) ).
cnf(s8737,plain,
( ~ spl2_123
| ~ spl2_388
| spl2_161 ),
inference(rat,[],[s1406,s8484]) ).
cnf(s8738,plain,
( ~ spl2_18
| ~ spl2_388
| spl2_205 ),
inference(rat,[],[s1405,s8484]) ).
cnf(s8739,plain,
( ~ spl2_39
| ~ spl2_388 ),
inference(rat,[],[s1404,s8484]) ).
cnf(s8741,plain,
( spl2_183
| ~ spl2_39
| ~ spl2_186 ),
inference(rat,[],[s1395,s8482]) ).
cnf(s8742,plain,
( spl2_183
| ~ spl2_123
| spl2_161
| ~ spl2_186 ),
inference(rat,[],[s1394,s8482]) ).
cnf(s8745,plain,
( ~ spl2_393
| spl2_164
| ~ spl2_9 ),
inference(rat,[],[s1383,s8484]) ).
cnf(s8747,plain,
( spl2_541
| ~ spl2_39
| ~ spl2_500 ),
inference(rat,[],[s1301,s8482]) ).
cnf(s8751,plain,
( ~ spl2_509
| ~ spl2_18
| spl2_508 ),
inference(rat,[],[s1248,s8484]) ).
cnf(s8756,plain,
( spl2_76
| ~ spl2_39
| ~ spl2_21
| ~ spl2_17 ),
inference(rat,[],[s1110,s8482]) ).
cnf(s8761,plain,
( spl2_32
| ~ spl2_18 ),
inference(rat,[],[s964,s8482]) ).
cnf(s8773,plain,
( ~ spl2_69
| spl2_172 ),
inference(rat,[],[s850,s8482]) ).
cnf(s8774,plain,
( ~ spl2_37
| ~ spl2_69 ),
inference(rat,[],[s847,s8484]) ).
cnf(s8791,plain,
( ~ spl2_15
| spl2_78
| ~ spl2_21 ),
inference(rat,[],[s643,s8482]) ).
cnf(s8793,plain,
( ~ spl2_120
| ~ spl2_75
| spl2_246 ),
inference(rat,[],[s636,s8484]) ).
cnf(s8796,plain,
( ~ spl2_21
| ~ spl2_77 ),
inference(rat,[],[s631,s8482]) ).
cnf(s8810,plain,
( spl2_80
| ~ spl2_15
| ~ spl2_9 ),
inference(rat,[],[s115,s8484]) ).
cnf(s8814,plain,
( ~ spl2_30
| spl2_67 ),
inference(rat,[],[s71,s8484]) ).
cnf(s8816,plain,
( spl2_37
| ~ spl2_21
| ~ spl2_9 ),
inference(rat,[],[s65,s8484]) ).
cnf(s8826,plain,
( spl2_70
| spl2_73
| ~ spl2_243
| spl2_37
| ~ spl2_211
| ~ spl2_51 ),
inference(rat,[],[s8672,s1858,s27,s8488,s4629,s7005]) ).
cnf(s8827,plain,
( spl2_513
| ~ spl2_374
| ~ spl2_489
| ~ spl2_371
| spl2_508
| ~ spl2_211
| ~ spl2_192
| ~ spl2_186
| spl2_154
| ~ spl2_163
| spl2_205 ),
inference(rat,[],[s7181,s1225,s6644,s4558,s1246,s6856,s6229]) ).
cnf(s8828,plain,
( ~ spl2_20
| ~ spl2_191
| ~ spl2_192
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s8636,s8827,s4251,s7388,s4988,s3288,s6859,s7381,s5423,s1232,s4798,s7864,s4805,s5272,s8826,s7000,s58,s6198,s8662,s4448,s4406,s976,s7488,s7383,s7390,s3285,s8637,s5056,s5490,s3220,s8623,s7272,s7047,s623,s8773,s811,s5477,s2738,s8634,s3649,s377,s8640,s1463,s8633,s56,s3255]) ).
cnf(s8829,plain,
( ~ spl2_191
| ~ spl2_192
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7540,s1858,s7282,s3364,s3297,s1554,s8702,s8742,s793,s8828,s1131,s8634,s3649,s8640,s3255,s7272,s56,s377,s623,s8633,s1463]) ).
cnf(s8830,plain,
( ~ spl2_20
| spl2_191
| ~ spl2_192
| ~ spl2_186
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s980,s1718,s1312,s2033,s5580,s7920,s939,s3289,s3285,s6318,s6109,s2738,s8636,s4699,s2654,s5399,s3255,s3209,s247,s34,s8623,s7272,s377,s1463,s926,s493]) ).
cnf(s8831,plain,
( spl2_513
| ~ spl2_370
| spl2_527
| spl2_579
| ~ spl2_186
| ~ spl2_163
| spl2_161 ),
inference(rat,[],[s1207,s3288,s7389,s6856,s3255]) ).
cnf(s8832,plain,
( ~ spl2_192
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7281,s5776,s2953,s6155,s8831,s6945,s3512,s5062,s8506,s2664,s8774,s8826,s8214,s7000,s5467,s4834,s7488,s4083,s7282,s7383,s3285,s2026,s994,s7388,s7277,s603,s3520,s1987,s972,s1274,s1532,s2287,s2921,s4805,s4807,s3096,s27,s2816,s8742,s8693,s113,s793,s8830,s8829,s3255,s3220,s247,s34,s8623,s7272,s7047,s56,s377,s410,s623,s8633]) ).
cnf(s8833,plain,
( ~ spl2_176
| ~ spl2_191
| spl2_192
| spl2_164
| spl2_154
| ~ spl2_175
| spl2_166
| spl2_161 ),
inference(rat,[],[s1718,s980,s5272,s1312,s4629,s5580,s7000,s27,s3289,s7237,s6198,s972,s4834,s5500,s5553,s7277,s569,s939,s3255,s3220,s3209,s8623,s377,s623,s7162,s410,s8640]) ).
cnf(s8834,plain,
( ~ spl2_191
| spl2_192
| spl2_164
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s4448,s5272,s4406,s6792,s976,s6098,s4798,s4858,s1554,s1361,s3289,s5468,s5662,s7383,s7390,s8833,s3255,s7272,s410,s562]) ).
cnf(s8835,plain,
( spl2_513
| spl2_541
| spl2_527
| ~ spl2_20
| ~ spl2_235
| ~ spl2_163
| spl2_161 ),
inference(rat,[],[s7154,s5503,s8673,s7389]) ).
cnf(s8836,plain,
( ~ spl2_179
| ~ spl2_221
| ~ spl2_70
| ~ spl2_20
| ~ spl2_176
| spl2_191
| spl2_192
| ~ spl2_186
| spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s6078,s6642,s7281,s7175,s5632,s7231,s8062,s5498,s58,s7588,s7306,s5390,s7179,s4796,s4788,s7535,s6155,s8835,s2717,s2664,s8773,s2401,s5122,s5121,s2922,s5041,s5635,s6640,s3283,s6646,s8761,s3967,s4328,s1135,s5468,s5472,s3255,s5922,s3220,s7047,s6853,s8623,s410,s562,s926,s2890,s7272,s5490,s5482]) ).
cnf(s8837,plain,
( ~ spl2_492
| spl2_513
| ~ spl2_221
| ~ spl2_20
| ~ spl2_176
| ~ spl2_235
| ~ spl2_163
| spl2_161 ),
inference(rat,[],[s8835,s2401,s5122]) ).
cnf(s8838,plain,
( spl2_513
| ~ spl2_178
| ~ spl2_183
| ~ spl2_221
| ~ spl2_70
| ~ spl2_190
| ~ spl2_176
| spl2_191
| spl2_192
| ~ spl2_186
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s7281,s4536,s5343,s4813,s5305,s7606,s5386,s6647,s8112,s8652,s4313,s8172,s3288,s6089,s6088,s4988,s6070,s6645,s6850,s4393,s5549,s7154,s5390,s4500,s8071,s2678,s8645,s8673,s980,s2134,s808,s58,s3207,s1312,s8068,s8557,s5649,s2119,s5474,s5491,s8105,s3967,s7280,s8837,s2182,s3255,s3220,s8623,s7272,s562,s926,s5486,s5553,s113,s27,s972,s993,s8638,s569,s5580,s377]) ).
cnf(s8839,plain,
( ~ spl2_57
| ~ spl2_458
| ~ spl2_183
| ~ spl2_70
| ~ spl2_20
| spl2_191
| spl2_192
| ~ spl2_186
| ~ spl2_175
| ~ spl2_1013
| ~ spl2_51
| spl2_205 ),
inference(rat,[],[s2007,s6642,s6641,s7175,s6699,s7231,s8062,s5041,s5635,s6646,s4328,s2717,s2664,s5474,s8773,s5649,s6636,s926,s5490,s5482]) ).
cnf(s8840,plain,
( ~ spl2_700
| spl2_792
| spl2_1032
| ~ spl2_1065
| ~ spl2_520
| ~ spl2_1060
| ~ spl2_1040
| ~ spl2_221
| ~ spl2_70
| ~ spl2_21
| spl2_205 ),
inference(rat,[],[s5343,s5305,s7281,s5386,s6129,s8112,s7272]) ).
cnf(s8841,plain,
( ~ spl2_221
| ~ spl2_176
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s4813,s7606,s4536,s6647,s7281,s5653,s5647,s6323,s8840,s6089,s6088,s6070,s4393,s5491,s4500,s3967,s980,s7280,s2678,s1253,s6277,s4796,s808,s5648,s7306,s4827,s58,s8839,s1246,s5498,s6850,s5342,s7091,s6120,s4450,s5549,s4788,s3207,s7535,s6155,s4211,s8838,s5580,s1362,s3289,s8836,s4868,s4406,s8638,s569,s8646,s3220,s7272,s7047,s56,s6853,s8623,s5486,s5553,s623,s113,s174,s27,s972,s7277,s377,s499,s8834,s8832,s8633,s3255]) ).
cnf(s8842,plain,
( spl2_513
| ~ spl2_482
| ~ spl2_371
| spl2_221
| ~ spl2_70
| ~ spl2_176
| ~ spl2_235
| ~ spl2_233
| spl2_164
| ~ spl2_175
| ~ spl2_163
| spl2_205
| spl2_161 ),
inference(rat,[],[s7380,s7280,s5390,s5121,s8673,s8071,s3207,s2119,s8056,s3220,s8623,s7272,s113,s27,s972,s7277]) ).
cnf(s8843,plain,
( ~ spl2_176
| spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7281,s6129,s4776,s6089,s7382,s6070,s6647,s4393,s2291,s5498,s4500,s8495,s5342,s58,s2664,s4450,s5649,s8773,s4406,s4798,s6640,s8638,s4407,s1412,s1232,s8054,s5052,s7386,s8105,s7642,s3288,s7280,s4556,s4988,s5121,s4788,s7249,s8071,s3207,s4576,s7535,s6155,s4211,s8842,s2134,s1718,s977,s980,s1312,s5580,s3289,s7237,s4834,s5500,s2738,s8841,s5490,s174,s113,s27,s972,s7277,s5922,s3220,s3209,s8623,s7272,s7047,s377,s623,s562,s7162,s410,s5482,s926,s499,s8834,s8832,s8633,s3255]) ).
cnf(s8844,plain,
( spl2_513
| ~ spl2_221
| ~ spl2_70
| ~ spl2_190
| ~ spl2_178
| ~ spl2_482
| ~ spl2_371
| ~ spl2_1065
| ~ spl2_549
| ~ spl2_1025
| ~ spl2_231
| spl2_191
| ~ spl2_233
| spl2_164
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s7281,s4536,s5343,s4813,s5305,s7606,s5386,s6647,s8112,s8652,s8172,s6089,s6088,s6070,s4393,s4500,s980,s1253,s1246,s4989,s5498,s4407,s5648,s6724,s4812,s6120,s5549,s5390,s8645,s8673,s8071,s3207,s1445,s5608,s1472,s4313,s3288,s4988,s8058,s2182,s3220,s8623,s7272,s926,s113,s27,s972,s58,s2678,s808,s8557,s993,s5649,s8646,s3255,s5480,s5580,s623]) ).
cnf(s8845,plain,
( spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s4813,s7606,s4536,s6647,s7281,s5653,s5647,s6323,s8840,s6089,s6088,s6070,s4393,s4500,s980,s1253,s1246,s8638,s5498,s1232,s5342,s7249,s4760,s5648,s4759,s7280,s6120,s5549,s3288,s5121,s4788,s1296,s8071,s3207,s7306,s7535,s6155,s4211,s8844,s2678,s808,s58,s8557,s5649,s993,s8646,s559,s174,s113,s27,s972,s5480,s7388,s5580,s3289,s2134,s5468,s5474,s5491,s7498,s5662,s7383,s7390,s3285,s8843,s499,s926,s8834,s562,s8832,s623,s8633,s410,s3255,s3220,s8623,s7272,s7047,s56,s377]) ).
cnf(s8846,plain,
( ~ spl2_191
| ~ spl2_264
| spl2_212
| ~ spl2_154
| spl2_166
| ~ spl2_51 ),
inference(rat,[],[s7005,s8488,s6185,s3649,s8640,s377]) ).
cnf(s8847,plain,
( ~ spl2_176
| ~ spl2_192
| ~ spl2_365
| ~ spl2_164
| ~ spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s6647,s3043,s7430,s6083,s2664,s8632,s8774,s1987,s1023,s8702,s27,s2816,s121,s188,s4629,s2654,s4805,s4798,s745,s7165,s496,s502,s1098,s926,s8846,s3297,s5467,s2970,s1104,s7282,s3428,s601,s2041,s2023,s939,s3255,s7272,s377,s4640,s1463]) ).
cnf(s8848,plain,
( ~ spl2_221
| spl2_37
| ~ spl2_211
| ~ spl2_191
| spl2_361
| ~ spl2_547
| ~ spl2_175
| ~ spl2_21
| ~ spl2_51
| spl2_188 ),
inference(rat,[],[s1456,s7279,s8488,s1361,s7005,s4858,s4699]) ).
cnf(s8849,plain,
( ~ spl2_191
| ~ spl2_164
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s6647,s7375,s8334,s8062,s2654,s6381,s7912,s3075,s3288,s7381,s5390,s8645,s8673,s6088,s6085,s6086,s1567,s3844,s6070,s7279,s6645,s1456,s2182,s1316,s8629,s2717,s2664,s58,s4202,s5490,s7028,s1627,s2738,s5477,s8848,s113,s27,s3520,s8773,s3649,s8640,s3307,s811,s3255,s7047,s6853,s377,s1463,s1587,s8847,s7160,s3220,s8623,s6998,s8845,s56,s7272]) ).
cnf(s8850,plain,
( spl2_520
| ~ spl2_482
| spl2_204
| ~ spl2_20
| ~ spl2_263
| spl2_191
| ~ spl2_154
| ~ spl2_163
| spl2_205
| spl2_161 ),
inference(rat,[],[s7485,s6784,s1253,s4005,s1246,s3844,s5498,s6850,s6724,s7154,s5390,s3220,s8623,s926]) ).
cnf(s8851,plain,
( ~ spl2_183
| ~ spl2_520
| ~ spl2_57
| ~ spl2_221
| ~ spl2_180
| ~ spl2_192
| ~ spl2_164
| ~ spl2_175
| spl2_15
| spl2_188
| spl2_43 ),
inference(rat,[],[s8160,s7280,s4529,s2401,s8673,s8629,s4202,s1617,s3804,s2754,s3872,s5649]) ).
cnf(s8852,plain,
( ~ spl2_541
| ~ spl2_212
| ~ spl2_57
| ~ spl2_221
| ~ spl2_231
| ~ spl2_164
| spl2_205 ),
inference(rat,[],[s3880,s6850,s3557,s3491,s2305,s7280,s4529,s2401,s7272]) ).
cnf(s8853,plain,
( ~ spl2_513
| ~ spl2_547
| ~ spl2_365
| spl2_15
| spl2_161 ),
inference(rat,[],[s3283,s2886,s1428,s7535,s6155,s3255,s3220,s8623]) ).
cnf(s8854,plain,
( ~ spl2_221
| spl2_191
| ~ spl2_180
| ~ spl2_164
| ~ spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3289,s2041,s5467,s8852,s8344,s8673,s8851,s8850,s2134,s2664,s8773,s500,s5490,s1316,s6636,s4629,s113,s4827,s27,s7005,s3520,s4699,s994,s3255,s56,s4640,s5482,s6321,s980,s977,s1569,s7272,s8853,s1463,s7160,s3220,s8623,s6998,s7047]) ).
cnf(s8855,plain,
( spl2_728
| ~ spl2_492
| ~ spl2_240
| spl2_204
| ~ spl2_779
| spl2_1032
| spl2_205 ),
inference(rat,[],[s6158,s7281,s6647,s7621,s4526,s6642,s7272]) ).
cnf(s8856,plain,
( ~ spl2_164
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s6945,s3512,s6135,s5062,s8855,s3283,s2970,s3491,s2668,s7282,s7638,s5503,s8774,s2041,s6612,s7389,s8680,s3520,s940,s1274,s2921,s4029,s27,s559,s8854,s2182,s8853,s977,s6321,s1569,s926,s8849,s3285,s8847,s1463,s7160,s6998,s3255,s3220,s8623,s7272,s7047,s56,s377,s2133,s8845]) ).
cnf(s8857,plain,
( ~ spl2_221
| ~ spl2_547
| spl2_37
| ~ spl2_211
| ~ spl2_191
| spl2_164
| ~ spl2_21
| ~ spl2_51
| spl2_188
| spl2_22 ),
inference(rat,[],[s8603,s3872,s7282,s8557,s1554,s7005,s8646,s4699]) ).
cnf(s8858,plain,
( ~ spl2_176
| spl2_178
| ~ spl2_547
| ~ spl2_191
| ~ spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_51
| spl2_188
| ~ spl2_16 ),
inference(rat,[],[s7032,s4251,s8846,s2023,s939]) ).
cnf(s8859,plain,
( ~ spl2_224
| ~ spl2_40
| ~ spl2_191
| ~ spl2_154
| spl2_166
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s7005,s4827,s6185,s6198,s4448,s8662]) ).
cnf(s8860,plain,
( spl2_178
| spl2_224
| ~ spl2_225
| ~ spl2_547
| ~ spl2_191
| ~ spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_51
| spl2_188
| spl2_161 ),
inference(rat,[],[s4501,s3285,s4393,s8858,s7279,s3255,s3220,s8623]) ).
cnf(s8861,plain,
( spl2_513
| spl2_579
| spl2_541
| ~ spl2_225
| ~ spl2_20
| ~ spl2_186
| spl2_22 ),
inference(rat,[],[s3288,s7381,s6856,s8673]) ).
cnf(s8862,plain,
( ~ spl2_192
| ~ spl2_191
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s8105,s4812,s7280,s4788,s2886,s7535,s6155,s8861,s1530,s1567,s6645,s2981,s7174,s4407,s3285,s4798,s939,s7388,s1554,s2041,s8860,s4406,s8859,s2738,s8857,s113,s27,s3520,s1463,s3255,s3220,s8623,s7272,s7047,s56,s623,s8856,s3307,s8845,s8640,s3649,s377]) ).
cnf(s8863,plain,
( ~ spl2_221
| spl2_178
| spl2_192
| ~ spl2_191
| spl2_164
| ~ spl2_154
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s6601,s7584,s6642,s5502,s6085,s5635,s6150,s6647,s4337,s2242,s6504,s5587,s6641,s7105,s4393,s6323,s8859,s2664,s793,s27,s7628,s58,s8702,s601,s8672,s5649,s3364,s8214,s2975,s5474,s2981,s7498,s7383,s3285,s569,s8646,s3255,s623,s8640,s3649,s377,s8773,s811,s7282,s7279,s7272]) ).
cnf(s8864,plain,
( spl2_178
| spl2_192
| ~ spl2_191
| spl2_164
| ~ spl2_154
| ~ spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s58,s4500,s6198,s8846,s5553,s939,s3285,s4501,s4393,s8859,s27,s4265,s5470,s1131,s2738,s8863,s7279,s7282,s3255,s7272,s623,s3307,s562]) ).
cnf(s8865,plain,
( ~ spl2_191
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s6647,s8334,s7375,s8062,s58,s7306,s5390,s4796,s7535,s8861,s6088,s6085,s1530,s1567,s3844,s7777,s6070,s6645,s5694,s4501,s2981,s3285,s7174,s2717,s2664,s939,s4406,s5490,s6185,s8859,s793,s6792,s4407,s27,s6098,s2738,s5477,s8742,s4798,s1298,s4858,s1554,s1361,s8864,s562,s8862,s8773,s811,s3255,s3220,s7272,s7047,s56,s6853,s8623,s377,s8845,s623,s8856]) ).
cnf(s8866,plain,
( ~ spl2_221
| spl2_178
| ~ spl2_192
| spl2_191
| spl2_164
| ~ spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s1246,s1253,s5498,s2919,s7570,s1207,s5608,s3288,s1296,s8850,s980,s1857,s7411,s2981,s7383,s3285,s2023,s2134,s2664,s8773,s500,s5490,s3872,s6636,s4629,s113,s8557,s4827,s27,s7005,s3520,s4699,s993,s8646,s994,s3255,s623,s5482,s1098,s1463,s7282,s7279,s7272]) ).
cnf(s8867,plain,
( spl2_178
| ~ spl2_192
| spl2_191
| spl2_164
| ~ spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3288,s1229,s3075,s6194,s7535,s6155,s8831,s2981,s3285,s7277,s1411,s972,s1274,s1532,s27,s113,s6318,s4834,s2738,s8866,s7279,s7282,s3255,s3220,s8623,s7272,s7047,s56,s2133,s623]) ).
cnf(s8868,plain,
( ~ spl2_192
| spl2_191
| spl2_164
| ~ spl2_154
| ~ spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s2829,s8673,s1543,s4529,s2919,s5608,s3288,s1296,s8850,s980,s1857,s2664,s8773,s2134,s5307,s3872,s6636,s500,s8557,s4827,s5195,s7005,s4699,s993,s8646,s5490,s559,s113,s7411,s4401,s7383,s3285,s4448,s939,s2041,s8867,s1463,s3255,s56,s623,s5482,s926,s1098,s7272]) ).
cnf(s8869,plain,
( spl2_513
| ~ spl2_190
| ~ spl2_176
| ~ spl2_20
| ~ spl2_221
| ~ spl2_179
| spl2_192
| spl2_191
| ~ spl2_154
| spl2_166
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s5498,s8108,s2134,s7570,s2119,s8068,s5467,s5474,s8105,s3967,s7280,s8837,s2182,s3255,s3220,s8623,s7272,s377,s926,s562]) ).
cnf(s8870,plain,
( spl2_70
| ~ spl2_503
| ~ spl2_504
| spl2_211
| spl2_37
| ~ spl2_183
| ~ spl2_221
| ~ spl2_544
| spl2_192
| spl2_191
| ~ spl2_154
| ~ spl2_175
| ~ spl2_21
| ~ spl2_51
| spl2_161 ),
inference(rat,[],[s3445,s5503,s8449,s4005,s2401,s5121,s3283,s3967,s2134,s5474,s500,s8557,s5195,s7005,s3255,s5684]) ).
cnf(s8871,plain,
( ~ spl2_176
| ~ spl2_20
| ~ spl2_221
| spl2_178
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3283,s5122,s3967,s6194,s5467,s5498,s3125,s5342,s601,s8449,s2134,s3207,s8102,s8870,s7535,s6155,s4211,s8869,s4406,s5684,s569,s7277,s3255,s3220,s8623,s7047,s56,s2133,s926,s8868,s8865,s8845,s377,s7282,s7279,s7272,s8646,s993,s623,s8856]) ).
cnf(s8872,plain,
( ~ spl2_733
| ~ spl2_1025
| ~ spl2_20
| ~ spl2_183
| ~ spl2_179
| spl2_191
| spl2_22 ),
inference(rat,[],[s3288,s1296,s5608,s5390,s7570,s6724]) ).
cnf(s8873,plain,
( ~ spl2_20
| ~ spl2_221
| spl2_178
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7535,s8071,s8078,s3844,s5498,s8872,s7005,s8557,s2134,s5474,s6175,s7498,s7383,s3285,s8871,s3220,s8623,s7047,s56,s926,s1659,s3255,s562,s8868,s8865,s8845,s377,s7282,s7272,s8646,s993,s623,s8856]) ).
cnf(s8874,plain,
( ~ spl2_221
| spl2_178
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3428,s1104,s2390,s3297,s27,s8702,s113,s793,s8873,s993,s994,s3255,s56,s623,s8856,s7282,s7272]) ).
cnf(s8875,plain,
( spl2_178
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7146,s7638,s7280,s6194,s1293,s6155,s8831,s2981,s3285,s7277,s1021,s2390,s972,s1274,s1532,s27,s113,s5470,s6318,s1131,s2738,s8874,s7279,s7282,s3255,s8623,s7272,s7047,s2133,s623,s562,s8868,s8865,s8856,s8845,s377]) ).
cnf(s8877,plain,
( spl2_513
| ~ spl2_176
| ~ spl2_183
| ~ spl2_221
| ~ spl2_178
| spl2_192
| spl2_191
| ~ spl2_186
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s5474,s8557,s3967,s7005,s7280,s8838,s8837,s7272,s377,s926,s113,s27,s972,s7388,s993]) ).
cnf(s8878,plain,
( spl2_70
| ~ spl2_503
| ~ spl2_504
| ~ spl2_176
| spl2_37
| ~ spl2_183
| ~ spl2_221
| spl2_192
| spl2_191
| ~ spl2_154
| ~ spl2_175
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s3283,s5122,s3967,s6194,s5474,s6645,s8557,s8870,s7005,s3255,s2133,s569]) ).
cnf(s8879,plain,
( ~ spl2_176
| ~ spl2_221
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3844,s5498,s4796,s5342,s7306,s8449,s58,s3207,s8839,s8878,s7535,s6155,s4211,s8877,s1362,s569,s3220,s7047,s56,s6853,s8623,s8868,s8865,s8845,s377,s113,s27,s972,s7388,s8875,s8646,s993,s623,s8856]) ).
cnf(s8880,plain,
( ~ spl2_221
| ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3283,s5121,s4760,s8071,s8070,s7535,s8844,s7005,s8557,s2134,s5474,s5491,s6175,s6321,s7498,s7383,s3285,s8879,s993,s8646,s3220,s8623,s7272,s7047,s56,s926,s1659,s3255,s562,s8868,s8865,s8845,s377,s113,s27,s972,s7388,s8875,s623,s8856]) ).
cnf(s8881,plain,
( spl2_70
| ~ spl2_371
| ~ spl2_1137
| ~ spl2_40
| ~ spl2_175
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s5649,s4798,s4827,s6792,s7005]) ).
cnf(s8882,plain,
( ~ spl2_175
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7588,s1232,s6644,s7179,s6850,s3844,s8449,s4788,s7561,s8071,s8070,s3207,s4576,s7535,s6155,s8842,s8881,s2134,s3372,s7032,s977,s980,s1312,s3285,s7237,s559,s6098,s5500,s8880,s113,s27,s972,s7388,s5580,s8875,s562,s8868,s1659,s926,s8865,s623,s8856,s8845,s3255,s3220,s8623,s7047,s56,s377]) ).
cnf(s8883,plain,
( ~ spl2_221
| ~ spl2_191
| spl2_164
| spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s2728,s8557,s8603,s7005,s4805,s8863,s7282,s8005,s1554,s569,s8646,s3255,s7272,s8640,s3649,s377]) ).
cnf(s8885,plain,
( spl2_185
| spl2_513
| ~ spl2_192
| spl2_184
| spl2_388
| ~ spl2_504
| spl2_154
| ~ spl2_70
| spl2_472
| ~ spl2_176
| ~ spl2_191
| spl2_166
| spl2_205
| spl2_161 ),
inference(rat,[],[s7189,s4558,s3880,s7625,s7917,s1312,s980,s1718,s3255,s3209,s8623,s7272,s58,s6198,s2182]) ).
cnf(s8886,plain,
( spl2_513
| ~ spl2_192
| spl2_184
| ~ spl2_178
| ~ spl2_504
| spl2_154
| ~ spl2_70
| spl2_472
| ~ spl2_176
| ~ spl2_191
| spl2_166
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s6957,s6644,s6102,s1567,s3207,s8673,s7153,s7249,s6851,s4406,s3880,s4448,s2033,s8885,s410,s5580,s377]) ).
cnf(s8887,plain,
( ~ spl2_513
| ~ spl2_540
| spl2_388
| ~ spl2_504
| ~ spl2_70
| ~ spl2_50
| ~ spl2_186
| ~ spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s3283,s6277,s5344,s5648,s4812,s6120,s4788,s3207,s7535,s4211,s3255,s3220,s8623]) ).
cnf(s8888,plain,
( spl2_154
| ~ spl2_176
| spl2_517
| ~ spl2_191
| spl2_175
| spl2_166
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s4448,s4393,s5272,s4500,s1718,s6645,s980,s8103,s1312,s8054,s4244,s562,s8886,s8887,s4407,s8647,s5580,s1554,s8007,s8197,s3255,s3209,s247,s34,s7272,s58,s4629,s7000,s6198,s5553,s623,s3220,s27,s972,s7277,s7194,s8623,s377]) ).
cnf(s8889,plain,
( spl2_178
| spl2_370
| spl2_224
| ~ spl2_70
| ~ spl2_20
| ~ spl2_50
| ~ spl2_176
| ~ spl2_225
| ~ spl2_191
| spl2_175
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s4450,s5342,s4788,s6644,s3207,s6196,s7306,s7535,s6155,s4211,s5122,s8635,s3283,s4500,s3967,s4393,s5467,s7279,s7282,s7470,s3255,s3220,s7272,s623,s7194,s8623,s4406]) ).
cnf(s8890,plain,
( spl2_513
| spl2_185
| spl2_388
| ~ spl2_192
| ~ spl2_154
| ~ spl2_70
| spl2_204
| spl2_508
| ~ spl2_20
| ~ spl2_211
| ~ spl2_191
| ~ spl2_186
| spl2_175
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s1567,s6964,s8673,s1225,s7386,s7019,s7280,s6277,s7485,s2117,s7912,s1445,s8090,s3220,s247,s34,s8623,s7272,s427]) ).
cnf(s8891,plain,
( ~ spl2_192
| spl2_224
| ~ spl2_154
| ~ spl2_70
| spl2_204
| spl2_508
| ~ spl2_50
| ~ spl2_176
| ~ spl2_225
| ~ spl2_211
| ~ spl2_191
| spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s8887,s6155,s8890,s2134,s4758,s5580,s5156,s8889,s7174,s4407,s8647,s4805,s623,s113,s27,s972,s7277,s7194,s8623,s4406]) ).
cnf(s8892,plain,
( ~ spl2_370
| ~ spl2_700
| ~ spl2_383
| ~ spl2_211
| ~ spl2_186
| spl2_205 ),
inference(rat,[],[s8647,s7174,s8214]) ).
cnf(s8893,plain,
( ~ spl2_176
| ~ spl2_191
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s8887,s6155,s8861,s1530,s1567,s6645,s4393,s4500,s980,s4407,s1312,s8647,s5580,s1554,s8889,s8892,s8495,s4244,s8891,s4406,s8859,s8888,s4629,s2664,s5055,s113,s4827,s7000,s7628,s58,s27,s6198,s972,s5553,s7277,s3255,s3220,s377,s623,s8640,s8773,s811,s2738,s4202,s1627,s8883,s7194,s8623,s7047,s8882,s56]) ).
cnf(s8894,plain,
( ~ spl2_544
| spl2_1043
| spl2_752
| ~ spl2_154
| ~ spl2_191
| spl2_166
| ~ spl2_21
| ~ spl2_51 ),
inference(rat,[],[s27,s4265,s8859,s4153,s4393,s3307]) ).
cnf(s8895,plain,
( ~ spl2_191
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s6647,s7375,s8334,s8062,s5390,s58,s4796,s5648,s6806,s6277,s3075,s3283,s3288,s8105,s6120,s4680,s4812,s6088,s6085,s4788,s7777,s6070,s7535,s6155,s4211,s2717,s2664,s8861,s5490,s5694,s8859,s793,s6179,s4407,s27,s8742,s8647,s8756,s7388,s5580,s1554,s4048,s1530,s1567,s3844,s7279,s6645,s8894,s4501,s4458,s3285,s8005,s8893,s2738,s5477,s8883,s9,s603,s570,s8773,s8640,s811,s3255,s3220,s7272,s56,s6853,s377,s427,s623,s7194,s8882,s8623,s7047]) ).
cnf(s8896,plain,
( ~ spl2_490
| ~ spl2_57
| spl2_513
| ~ spl2_225
| ~ spl2_70
| ~ spl2_20
| ~ spl2_16 ),
inference(rat,[],[s6099,s4529,s3207,s8673,s7381,s4313]) ).
cnf(s8897,plain,
( ~ spl2_489
| spl2_513
| ~ spl2_192
| ~ spl2_504
| spl2_154
| ~ spl2_190
| ~ spl2_176
| ~ spl2_186
| spl2_205 ),
inference(rat,[],[s2134,s7189,s4758,s4558,s5187,s6856,s4988]) ).
cnf(s8898,plain,
( spl2_513
| ~ spl2_192
| ~ spl2_70
| spl2_154
| ~ spl2_176
| spl2_175
| spl2_166
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s4586,s6647,s4776,s5009,s7281,s6945,s6129,s8086,s6089,s6088,s6070,s4758,s4393,s2134,s4500,s1718,s2760,s5133,s8495,s1216,s6612,s7918,s7019,s5498,s7280,s6957,s6277,s2678,s6102,s6099,s1445,s808,s3207,s4827,s58,s8673,s8896,s4680,s7381,s4313,s3288,s8897,s2182,s3220,s3209,s7272,s5486,s5553,s113,s27,s972,s7277,s5580,s377,s8197,s4202,s1628,s1668,s1564,s8007,s5518,s3255,s410,s247,s34,s2738,s8646,s6179,s8647,s4805,s623,s7194,s8623]) ).
cnf(s8899,plain,
( ~ spl2_192
| ~ spl2_70
| spl2_154
| ~ spl2_176
| spl2_175
| spl2_166
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s1316,s8642,s977,s4868,s4576,s7091,s7249,s5503,s4988,s3288,s4680,s5549,s4788,s58,s3207,s8887,s7535,s8898,s6179,s4407,s8647,s4805,s3220,s623,s7277,s7194,s5580,s377,s8197,s4202,s1628,s1668,s1564,s8007,s5518,s3255,s410,s247,s34,s8623]) ).
cnf(s8900,plain,
( ~ spl2_221
| spl2_513
| spl2_192
| ~ spl2_178
| ~ spl2_70
| ~ spl2_176
| spl2_191
| spl2_164
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s8838,s8646,s623,s7277,s377]) ).
cnf(s8901,plain,
( ~ spl2_183
| spl2_221
| ~ spl2_371
| ~ spl2_233
| ~ spl2_504
| ~ spl2_70
| ~ spl2_190
| ~ spl2_235
| ~ spl2_186
| spl2_175
| spl2_205
| spl2_161 ),
inference(rat,[],[s7154,s5503,s1296,s4988,s3288,s7008,s4362,s7278,s4978,s5781,s2283,s4586,s6647,s2291,s8495,s58,s5649,s3255,s7272,s113,s27,s972]) ).
cnf(s8902,plain,
( spl2_513
| spl2_192
| ~ spl2_504
| ~ spl2_178
| ~ spl2_70
| ~ spl2_176
| spl2_191
| spl2_164
| spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s5503,s2302,s7389,s6277,s5122,s3283,s6645,s8105,s8103,s8054,s4407,s8647,s8901,s8900,s3255,s7272,s623,s926,s7277,s562,s977,s980,s1312,s4244,s8623,s5580,s377]) ).
cnf(s8903,plain,
( spl2_154
| ~ spl2_176
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s4813,s7606,s4536,s6647,s7281,s6150,s5647,s6323,s8840,s5491,s3967,s6089,s6088,s6085,s7280,s6070,s5498,s6277,s4393,s5342,s5648,s4500,s7306,s2664,s4450,s58,s8773,s4406,s8901,s5649,s6640,s4989,s8647,s1412,s6179,s5051,s4680,s7008,s3288,s6120,s5549,s4988,s4788,s7249,s8071,s3207,s4576,s7535,s4211,s8902,s2134,s1718,s977,s980,s1312,s4244,s562,s8899,s8197,s4202,s1628,s1668,s1564,s5580,s8007,s8487,s410,s3255,s5922,s3220,s3209,s247,s34,s7272,s56,s623,s926,s5518,s5490,s113,s27,s972,s7277,s7194,s8882,s8623,s7047,s377,s5482,s8895]) ).
cnf(s8904,plain,
( spl2_513
| ~ spl2_212
| ~ spl2_70
| ~ spl2_264
| ~ spl2_234
| ~ spl2_192
| ~ spl2_154
| ~ spl2_20
| ~ spl2_176
| spl2_226
| ~ spl2_186
| spl2_175
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s3880,s2063,s6850,s1272,s6123,s2760,s8090,s247,s34,s8623,s7272]) ).
cnf(s8905,plain,
( ~ spl2_192
| ~ spl2_154
| ~ spl2_190
| ~ spl2_176
| spl2_191
| spl2_175
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s4450,s8069,s4788,s5503,s3207,s3880,s7535,s6155,s8904,s8357,s4629,s7032,s502,s3372,s601,s2134,s4406,s4758,s8091,s3255,s3220,s623,s7194,s8623,s1098,s7272,s113,s27,s972,s8594,s926]) ).
cnf(s8906,plain,
( spl2_70
| spl2_192
| ~ spl2_40
| ~ spl2_186
| spl2_98
| spl2_175
| ~ spl2_51
| spl2_161 ),
inference(rat,[],[s8557,s8647,s152,s7005,s6806,s4244,s8623]) ).
cnf(s8907,plain,
( spl2_513
| ~ spl2_70
| spl2_192
| ~ spl2_154
| ~ spl2_176
| spl2_191
| spl2_164
| spl2_175
| spl2_166
| ~ spl2_21
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s8069,s4385,s6154,s5503,s977,s6277,s4988,s980,s2061,s2063,s1312,s8902,s5580,s7470,s7165,s4989,s4406,s8106,s3220,s247,s34,s7272,s623,s926,s113,s27,s972,s7277,s377,s4244,s8623]) ).
cnf(s8908,plain,
( spl2_178
| ~ spl2_503
| ~ spl2_70
| ~ spl2_233
| ~ spl2_154
| ~ spl2_190
| ~ spl2_235
| spl2_175
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s4406,s8102,s4989,s2134,s7165,s4249,s7470,s7272,s113,s27,s972]) ).
cnf(s8909,plain,
( ~ spl2_176
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s7381,s2738,s1232,s569,s3288,s8449,s4988,s8070,s6850,s2134,s7561,s3372,s4576,s7032,s977,s980,s1312,s5580,s8908,s3207,s7535,s6155,s8907,s8906,s4244,s562,s8905,s8903,s113,s27,s972,s7277,s56,s377,s727,s5379,s3220,s623,s7194,s8882,s8623,s7047,s926,s1659,s8895,s3255]) ).
cnf(s8910,plain,
( ~ spl2_20
| ~ spl2_183
| ~ spl2_179
| spl2_513
| spl2_56
| ~ spl2_482
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| spl2_191
| ~ spl2_186
| spl2_166
| spl2_205
| spl2_161 ),
inference(rat,[],[s2919,s5608,s4529,s3288,s8673,s1296,s8850,s2664,s8773,s6636,s4827,s980,s27,s977,s1274,s1105,s3872,s6612,s8557,s5498,s993,s8872,s6109,s5490,s3255,s377,s5482,s926,s2182,s5467]) ).
cnf(s8911,plain,
( spl2_178
| spl2_513
| spl2_56
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| spl2_191
| ~ spl2_186
| spl2_175
| spl2_166
| spl2_205
| spl2_161 ),
inference(rat,[],[s8831,s1274,s1532,s27,s113,s8910,s8647,s5467,s7165,s7282,s7470,s377,s926,s2134,s6182,s1098,s7272]) ).
cnf(s8912,plain,
( spl2_513
| spl2_56
| spl2_70
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| spl2_191
| spl2_98
| spl2_164
| spl2_175
| spl2_166
| spl2_205
| spl2_161 ),
inference(rat,[],[s2919,s5608,s4529,s3288,s8673,s1296,s8850,s980,s1857,s2664,s8773,s3872,s6636,s8557,s8646,s5490,s4827,s152,s559,s113,s27,s972,s7388,s8911,s3255,s377,s623,s5482,s926,s7411,s2134,s6182,s1098,s7272]) ).
cnf(s8913,plain,
( spl2_502
| ~ spl2_370
| ~ spl2_503
| ~ spl2_192
| ~ spl2_482
| spl2_161 ),
inference(rat,[],[s1207,s3288,s4005,s3075,s3255]) ).
cnf(s8914,plain,
( spl2_178
| ~ spl2_503
| ~ spl2_192
| ~ spl2_482
| ~ spl2_1025
| ~ spl2_154
| spl2_191
| ~ spl2_186
| spl2_175
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s8872,s113,s6644,s27,s3844,s1411,s8913,s8647,s5467,s7165,s7282,s7470,s3255,s7272,s926]) ).
cnf(s8915,plain,
( ~ spl2_513
| ~ spl2_192
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| spl2_191
| spl2_175
| spl2_166
| ~ spl2_21
| spl2_15
| spl2_205
| spl2_161 ),
inference(rat,[],[s3288,s1296,s4759,s8646,s7154,s1798,s559,s113,s5503,s27,s3880,s972,s2041,s7388,s8914,s7535,s6155,s3255,s3220,s623,s7194,s8623,s926,s2134,s6182,s1098,s7272]) ).
cnf(s8916,plain,
( spl2_70
| spl2_513
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| spl2_191
| spl2_98
| spl2_164
| spl2_175
| spl2_166
| ~ spl2_51
| spl2_205
| spl2_161 ),
inference(rat,[],[s8912,s7005]) ).
cnf(s8917,plain,
( ~ spl2_192
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s4403,s559,s8647,s4947,s4805,s8916,s8915,s56,s727,s5379,s3220,s623,s7194,s8623,s7047,s3285,s7383,s7272,s8594,s8005,s8909,s3255,s8882,s926,s8895]) ).
cnf(s8918,plain,
( spl2_70
| spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s3512,s6945,s5062,s6135,s8855,s3283,s7146,s7282,s7470,s7638,s2664,s7388,s6194,s8774,s2390,s972,s1274,s2921,s4029,s8557,s6155,s27,s2816,s8647,s8916,s8906,s7005,s6806,s56,s727,s5379,s3220,s623,s7194,s7047,s7383,s2133,s8005,s6182,s3285,s8909,s3255,s1098,s8895,s7272,s4244,s8917,s8623,s8882]) ).
cnf(s8919,plain,
( spl2_178
| spl2_513
| spl2_76
| ~ spl2_70
| ~ spl2_549
| ~ spl2_371
| ~ spl2_482
| ~ spl2_1025
| ~ spl2_154
| spl2_191
| ~ spl2_186
| spl2_175
| ~ spl2_163
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s6644,s8872,s8078,s113,s27,s8756,s9,s603,s4807,s8647,s7165,s7282,s7470,s3255,s3220,s8623,s7272,s926]) ).
cnf(s8920,plain,
( spl2_513
| ~ spl2_70
| ~ spl2_549
| ~ spl2_371
| ~ spl2_1025
| ~ spl2_180
| ~ spl2_154
| spl2_191
| spl2_164
| spl2_175
| spl2_166
| ~ spl2_21
| spl2_205
| spl2_161 ),
inference(rat,[],[s1445,s1472,s3207,s3288,s8673,s1296,s5390,s6724,s6644,s8646,s8078,s559,s113,s27,s972,s7388,s8919,s3255,s377,s623,s926,s2134,s4051,s6182,s1098,s7272]) ).
cnf(s8921,plain,
( spl2_166
| ~ spl2_21
| spl2_9
| spl2_205
| spl2_161 ),
inference(rat,[],[s6277,s3283,s5580,s4760,s3289,s5648,s5342,s8872,s58,s6644,s5649,s3844,s8646,s8071,s559,s113,s27,s6120,s1342,s4788,s3207,s7535,s6155,s4211,s8920,s8918,s7498,s4244,s8917,s2134,s6182,s7383,s3285,s8005,s8909,s1098,s926,s8895,s623,s7194,s8882,s377,s3255,s3220,s8623,s7272,s7047]) ).
cnf(s8922,plain,
( ~ spl2_164
| ~ spl2_175
| ~ spl2_361
| ~ spl2_185
| ~ spl2_154
| spl2_9
| spl2_188
| ~ spl2_16 ),
inference(rat,[],[s2023,s1463,s1587,s7160]) ).
cnf(s8923,plain,
( ~ spl2_9
| ~ spl2_175
| ~ spl2_205 ),
inference(rat,[],[s8791,s88,s191,s3294,s2817,s5322,s8737,s108,s5477,s8679,s5649,s1379,s5490,s8132,s2782,s113,s7628,s27,s396,s2786,s8774,s3220,s8663,s8621,s2787]) ).
cnf(s8924,plain,
( ~ spl2_164
| ~ spl2_185
| ~ spl2_16
| spl2_22
| ~ spl2_154
| ~ spl2_361
| ~ spl2_360
| spl2_9
| ~ spl2_21
| ~ spl2_175
| ~ spl2_544 ),
inference(rat,[],[s4501,s4393,s2738,s4448,s3285,s4947,s2041,s5156,s2023,s3734,s3289,s1463,s8922,s909,s7160]) ).
cnf(s8925,plain,
( spl2_161
| ~ spl2_175
| ~ spl2_166
| ~ spl2_205 ),
inference(rat,[],[s6945,s3512,s1982,s8713,s2576,s396,s27,s2816,s113,s8618,s8924,s4253,s3220,s8623,s3255,s1327,s2787,s7486,s7394,s7047,s7931,s56,s8923]) ).
cnf(s8926,plain,
( ~ spl2_175
| ~ spl2_166
| ~ spl2_205 ),
inference(rat,[],[s27,s8739,s113,s4596,s8618,s3590,s8678,s8679,s8925,s56,s7939,s8923]) ).
cnf(s8927,plain,
( ~ spl2_51
| ~ spl2_166
| ~ spl2_205 ),
inference(rat,[],[s7938,s3512,s1982,s8713,s2576,s396,s27,s2816,s11,s113,s8618,s7937,s8926]) ).
cnf(s8928,plain,
( spl2_70
| spl2_69
| spl2_161
| ~ spl2_205 ),
inference(rat,[],[s4629,s408,s27,s2786]) ).
cnf(s8929,plain,
( ~ spl2_164
| ~ spl2_166
| ~ spl2_205 ),
inference(rat,[],[s1770,s1564,s5518,s7993,s8007,s8005,s6185,s8928,s5482,s5490,s113,s27,s396,s2786,s8773,s2749,s6636,s5504,s3284,s3220,s8623,s3255,s3563,s8679,s8926,s56,s8927]) ).
cnf(s8930,plain,
( ~ spl2_166
| ~ spl2_205 ),
inference(rat,[],[s8774,s396,s8663,s2816,s11,s113,s8618,s8929,s56,s8927]) ).
cnf(s8931,plain,
( ~ spl2_164
| ~ spl2_9
| ~ spl2_205 ),
inference(rat,[],[s191,s418,s8928,s8307,s8773,s980,s2782,s6636,s247,s5504,s3284,s7194,s34,s3220,s8623,s947,s3563,s3264,s8679,s377,s8930,s8923]) ).
cnf(s8932,plain,
( spl2_69
| spl2_164
| ~ spl2_205 ),
inference(rat,[],[s113,s8132,s27,s396,s2786]) ).
cnf(s8933,plain,
( ~ spl2_9
| ~ spl2_205 ),
inference(rat,[],[s3601,s8623,s808,s5922,s4827,s6640,s4401,s8694,s8662,s8687,s6177,s2133,s493,s3740,s7943,s7628,s8816,s8688,s811,s6636,s8774,s8773,s8932,s8931,s8930]) ).
cnf(s8934,plain,
( ~ spl2_40
| ~ spl2_164
| ~ spl2_205 ),
inference(rat,[],[s8773,s6636,s396,s58,s5490,s7028,s5477,s4699,s8121,s113,s2787,s1463,s7160,s3220,s8623,s8679,s7937,s56,s8933]) ).
cnf(s8935,plain,
( ~ spl2_164
| ~ spl2_205 ),
inference(rat,[],[s8747,s2574,s396,s27,s2816,s8934,s2182,s8853,s1463,s7160,s3220,s8623,s6998,s7937,s8679,s7047,s56,s8933]) ).
cnf(s8936,plain,
( spl2_154
| spl2_175
| ~ spl2_205 ),
inference(rat,[],[s1770,s1564,s5518,s7993,s8007,s8005,s8687,s3590,s8688,s8774,s8932,s8935,s7939,s56,s8933]) ).
cnf(s8937,plain,
( spl2_185
| ~ spl2_205 ),
inference(rat,[],[s1690,s2781,s8751,s7032,s8133,s3372,s6640,s5920,s8687,s1098,s3740,s7628,s6636,s811,s8773,s3220,s8623,s3590,s8688,s8774,s8932,s8935,s7939,s56,s8933]) ).
cnf(s8938,plain,
( ~ spl2_733
| spl2_388
| ~ spl2_176
| spl2_175
| ~ spl2_40
| ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s3283,s6277,s5344,s2302,s4291,s8054,s5503,s4407,s1232,s4989,s5684,s5390,s7870,s4393,s6724,s2489,s623,s8687,s3740,s7628,s247,s34,s113,s8121,s7277,s377,s8930,s562,s977,s4500,s980,s1312,s4244,s4758,s8594,s8936,s926,s811,s2134,s8937,s8623,s3590,s8688,s8774,s7939,s56,s8933,s58,s6636,s8773,s8932,s8935]) ).
cnf(s8939,plain,
( ~ spl2_526
| ~ spl2_371
| ~ spl2_233
| ~ spl2_176
| ~ spl2_154
| ~ spl2_70
| ~ spl2_20
| ~ spl2_205 ),
inference(rat,[],[s8103,s6137,s2119,s8071,s3844,s8930,s926,s811,s8687,s3740,s7628,s6636,s8773,s3220,s8623,s3590,s8688,s8774,s8932,s8935,s7939,s56,s8933,s2134,s8937]) ).
cnf(s8940,plain,
( ~ spl2_176
| spl2_175
| ~ spl2_40
| ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s7121,s3289,s7470,s5580,s8938,s2791,s5498,s8939,s4244,s562,s4758,s377,s8930,s8687,s3740,s7628,s6636,s8623,s3590,s8688,s8774,s7939,s2134,s8937,s113,s8121,s56,s8933,s8594,s8936,s926,s811,s8773,s8932,s8935]) ).
cnf(s8941,plain,
( ~ spl2_733
| ~ spl2_183
| ~ spl2_180
| ~ spl2_154
| ~ spl2_20
| ~ spl2_97
| ~ spl2_205 ),
inference(rat,[],[s1207,s3288,s3982,s1296,s1367,s5390,s2981,s6724,s2489,s811,s8687,s3590,s8688,s8774,s7939,s56,s8933,s3740,s7628,s6636,s8773,s8932,s8935]) ).
cnf(s8942,plain,
( spl2_175
| ~ spl2_40
| ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s7535,s8071,s8078,s3844,s5498,s8941,s7498,s4244,s4947,s8646,s559,s3285,s8940,s8594,s8936,s377,s8930,s7047,s926,s811,s8687,s3740,s7628,s6636,s3220,s8623,s3590,s8688,s8774,s7939,s2134,s8937,s963,s6640,s8773,s8932,s8935,s5920,s113,s8121,s56,s8933]) ).
cnf(s8943,plain,
( ~ spl2_371
| spl2_513
| ~ spl2_233
| ~ spl2_176
| ~ spl2_154
| ~ spl2_70
| ~ spl2_20
| ~ spl2_97
| ~ spl2_205 ),
inference(rat,[],[s6218,s4560,s3283,s6099,s5344,s4291,s2119,s5503,s3207,s3982,s8673,s1367,s5390,s6724,s5498,s8939,s811,s8687,s3740,s7628,s6636,s8773,s3220,s8623,s3590,s8688,s8774,s8932,s8935,s7939,s56,s8933,s2182]) ).
cnf(s8944,plain,
( spl2_513
| spl2_192
| ~ spl2_176
| ~ spl2_154
| ~ spl2_70
| ~ spl2_20
| ~ spl2_97
| ~ spl2_205 ),
inference(rat,[],[s8837,s3283,s5500,s3967,s7237,s5474,s8943,s377,s8930,s926,s811,s8773,s8687,s3220,s8623,s3590,s8688,s8774,s8932,s8935,s7939,s56,s8933,s562]) ).
cnf(s8945,plain,
( ~ spl2_513
| ~ spl2_40
| ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s1412,s5052,s8071,s1369,s7306,s7535,s6155,s7047,s6640,s5920,s58,s6636,s926,s811,s8773,s3220,s8623,s3590,s8688,s8774,s8932,s8935,s7939,s2134,s8937,s113,s8121,s56,s8933]) ).
cnf(s8946,plain,
( ~ spl2_176
| ~ spl2_154
| spl2_513
| ~ spl2_175
| ~ spl2_70
| ~ spl2_20
| ~ spl2_97
| ~ spl2_205 ),
inference(rat,[],[s1463,s8944,s2023,s8937]) ).
cnf(s8947,plain,
( ~ spl2_154
| spl2_513
| ~ spl2_175
| ~ spl2_70
| ~ spl2_40
| ~ spl2_97
| ~ spl2_205 ),
inference(rat,[],[s8078,s5498,s5474,s7498,s8941,s4805,s8646,s559,s7383,s3285,s8946,s377,s8930,s926,s811,s8687,s3590,s8688,s8774,s7939,s56,s8933,s3740,s7628,s6636,s8773,s8932,s8935,s2134,s8937,s113]) ).
cnf(s8948,plain,
( ~ spl2_40
| ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s1472,s3288,s7498,s6167,s4805,s1857,s8646,s980,s7411,s559,s1253,s3285,s6154,s1445,s5518,s8071,s1561,s8751,s1412,s1770,s2085,s1689,s2066,s7993,s2790,s8947,s8945,s8942,s2678,s1269,s808,s4827,s8121,s113,s926,s8687,s1098,s3740,s7628,s6636,s811,s6853,s247,s34,s8623,s3590,s8688,s8774,s7939,s56,s2134,s8937,s963,s6640,s8773,s8932,s8935,s5920,s8933]) ).
cnf(s8949,plain,
( ~ spl2_21
| ~ spl2_205 ),
inference(rat,[],[s7938,s3512,s1982,s8713,s2576,s27,s8948,s56,s8933,s8932,s8935]) ).
cnf(s8950,plain,
( ~ spl2_176
| ~ spl2_205 ),
inference(rat,[],[s7470,s5580,s1229,s1312,s3288,s980,s1296,s4500,s5390,s4393,s6724,s2489,s5498,s4989,s8939,s7277,s377,s8930,s58,s8687,s3740,s7628,s11,s493,s7943,s811,s562,s4244,s6179,s7468,s4805,s8646,s2369,s247,s34,s4246,s8623,s6636,s8773,s47,s3590,s8688,s8774,s8932,s8935,s7939,s56,s8933,s2787,s8949]) ).
cnf(s8951,plain,
( spl2_513
| ~ spl2_205 ),
inference(rat,[],[s1445,s1472,s3207,s3288,s8673,s1296,s5390,s6724,s5498,s8078,s377,s8930,s926,s8687,s2134,s8937,s11,s493,s7943,s811,s4244,s7498,s8950,s4805,s8646,s2369,s2787,s247,s34,s4246,s8949,s8623,s3590,s8688,s8774,s7939,s56,s8933,s3740,s7628,s6636,s8773,s8932,s8935]) ).
cnf(s8952,plain,
~ spl2_205,
inference(rat,[],[s4500,s2781,s4393,s6277,s4989,s3283,s5580,s7388,s4760,s7470,s5342,s2489,s1229,s5498,s3288,s3844,s1296,s8071,s7306,s7535,s4211,s8951,s3285,s8950,s6179,s7468,s4805,s8646,s493,s2369,s4246,s2787,s11,s47,s7943,s8949,s2134,s8937,s247,s34,s3220,s8623,s3740,s3590,s8687,s926,s7628,s58,s8688,s811,s6636,s8774,s8773,s8932,s623,s8935,s56,s7939,s7047,s8933,s377,s8930]) ).
cnf(s8953,plain,
~ spl2_188,
inference(rat,[],[s7272,s8952]) ).
cnf(s8954,plain,
~ spl2_22,
inference(rat,[],[s3250,s8953]) ).
cnf(s8956,plain,
( ~ spl2_520
| spl2_513
| ~ spl2_549
| ~ spl2_183
| ~ spl2_70 ),
inference(rat,[],[s1445,s1472,s3207,s3288,s8673,s1296,s8954]) ).
cnf(s8957,plain,
( spl2_191
| ~ spl2_1059
| spl2_513
| ~ spl2_50
| ~ spl2_549
| ~ spl2_371
| ~ spl2_180
| ~ spl2_70
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8078,s2134,s5498,s377,s6182,s6724,s6342,s1098,s926,s8953]) ).
cnf(s8958,plain,
( spl2_513
| ~ spl2_549
| ~ spl2_183
| ~ spl2_186
| ~ spl2_180
| ~ spl2_70
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6120,s8645,s5648,s2401,s4560,s3283,s6856,s4760,s3288,s3445,s1207,s6851,s5503,s2981,s3880,s7279,s6185,s1554,s8957,s5390,s8956,s2182,s11,s58,s5649,s4244,s8266,s6179,s7468,s4805,s47,s2369,s247,s34,s8623,s8954,s8952,s8953]) ).
cnf(s8959,plain,
( spl2_702
| ~ spl2_1065
| ~ spl2_183
| spl2_21
| ~ spl2_139 ),
inference(rat,[],[s6647,s7606,s2434,s4813,s8952]) ).
cnf(s8960,plain,
( spl2_164
| spl2_176
| ~ spl2_70
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6647,s4995,s4586,s4727,s4776,s7281,s4536,s8959,s7388,s1329,s7470,s5342,s4219,s1229,s6644,s3844,s3288,s4796,s1296,s1445,s7306,s7534,s4211,s8958,s58,s4305,s5649,s5491,s7498,s4244,s603,s4805,s4807,s8646,s623,s11,s2369,s247,s34,s8623,s3285,s7383,s8952,s8953,s8954]) ).
cnf(s8961,plain,
( spl2_176
| ~ spl2_70
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1472,s3288,s1445,s6349,s8071,s8360,s4627,s3542,s4749,s3217,s3367,s2118,s562,s2134,s7174,s926,s8357,s4153,s6328,s4406,s6185,s8609,s1327,s4472,s8662,s2749,s418,s100,s2703,s5504,s7194,s7020,s3563,s8960,s4458,s3285,s3220,s247,s34,s8623,s2133,s427,s11,s191,s8954,s8953]) ).
cnf(s8962,plain,
( ~ spl2_513
| spl2_15
| ~ spl2_183
| spl2_211
| ~ spl2_176
| ~ spl2_70
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4500,s980,s4393,s1312,s8638,s5580,s2438,s7470,s6644,s6645,s1229,s3844,s3288,s4796,s1296,s7535,s7306,s3220,s603,s4807,s58,s5649,s4244,s4805,s8623,s8953,s8952,s8954]) ).
cnf(s8963,plain,
( spl2_191
| spl2_513
| ~ spl2_371
| spl2_164
| ~ spl2_176
| ~ spl2_70
| ~ spl2_221
| ~ spl2_20
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4450,s8070,s8645,s2134,s3207,s8068,s2119,s8105,s7280,s4406,s8837,s8638,s7277,s377,s6342,s926,s3220,s8623,s569,s562,s4805,s58,s5649,s8646,s2182,s8952,s8954,s8953]) ).
cnf(s8964,plain,
( spl2_164
| ~ spl2_70
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3288,s1272,s7008,s2760,s4119,s4500,s5503,s4393,s4989,s3880,s3289,s7279,s586,s6185,s1554,s8963,s8962,s8266,s58,s6179,s5649,s7468,s4244,s4805,s628,s8646,s623,s5681,s7943,s47,s11,s569,s8961,s2369,s247,s34,s8623,s8954,s8953]) ).
cnf(s8965,plain,
( ~ spl2_70
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1472,s3288,s1445,s6349,s8071,s8360,s4627,s3542,s4749,s3217,s2134,s6179,s3367,s4153,s7468,s2118,s562,s7011,s926,s8357,s8662,s6185,s8609,s1327,s2751,s2749,s418,s5504,s7194,s7020,s3563,s8964,s191,s3220,s247,s34,s8623,s2133,s47,s11,s8954,s8953]) ).
cnf(s8966,plain,
( ~ spl2_513
| ~ spl2_183
| ~ spl2_180
| ~ spl2_57
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_43 ),
inference(rat,[],[s1316,s8640,s977,s1329,s1105,s6724,s4219,s2981,s6644,s6645,s5390,s3844,s1296,s3075,s3288,s7008,s1445,s2916,s7534,s603,s4807,s3872,s3631,s4244,s5649,s8952,s8954]) ).
cnf(s8967,plain,
( ~ spl2_503
| ~ spl2_482
| ~ spl2_231
| spl2_513
| ~ spl2_192
| spl2_164
| ~ spl2_180
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3844,s5498,s4005,s5342,s6850,s4760,s3491,s4313,s7280,s3288,s6218,s6856,s4558,s623,s2182,s8952,s8953,s8954]) ).
cnf(s8968,plain,
( spl2_191
| spl2_513
| ~ spl2_192
| ~ spl2_183
| spl2_164
| ~ spl2_180
| spl2_70
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6099,s4313,s4529,s3288,s8673,s1296,s7173,s8967,s2664,s2134,s5490,s6321,s7156,s5482,s3220,s11,s8773,s6636,s4246,s8623,s8954]) ).
cnf(s8969,plain,
( spl2_164
| ~ spl2_180
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8640,s1316,s7158,s1104,s7470,s3289,s1554,s8968,s8966,s3804,s4244,s3872,s5649,s8646,s11,s2369,s247,s34,s4246,s8965,s8623,s8953,s8954]) ).
cnf(s8970,plain,
( spl2_192
| spl2_374
| ~ spl2_383
| ~ spl2_164
| ~ spl2_180
| spl2_70
| spl2_21
| spl2_175
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s6317,s3283,s4450,s4760,s6721,s4471,s162,s516,s6964,s6644,s6194,s4749,s3217,s8266,s5649,s3367,s7590,s6806,s4244,s562,s2369,s247,s34,s4246,s7020,s3220,s8623,s8954,s8952,s8953]) ).
cnf(s8971,plain,
( ~ spl2_180
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6349,s3288,s7173,s1229,s8913,s6194,s4627,s3542,s4749,s2670,s603,s804,s1329,s8266,s418,s7174,s6280,s2134,s909,s2981,s4251,s7470,s3289,s7279,s2041,s8970,s7014,s4406,s8662,s2751,s2749,s5504,s7194,s7020,s3563,s8969,s3220,s2133,s2369,s247,s34,s8623,s2654,s8965,s8954,s8953]) ).
cnf(s8972,plain,
( spl2_206
| ~ spl2_192
| spl2_15
| ~ spl2_176
| ~ spl2_221
| spl2_21
| ~ spl2_16 ),
inference(rat,[],[s2134,s4628,s4758,s8586,s8954]) ).
cnf(s8973,plain,
( spl2_164
| spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6508,s4005,s7280,s1216,s6850,s8837,s2760,s4202,s3844,s4119,s2916,s1629,s1229,s7008,s3288,s5187,s1857,s8266,s2664,s2134,s7165,s5490,s7156,s926,s5482,s8640,s377,s7158,s4583,s7470,s3289,s5156,s8972,s4244,s3872,s5649,s628,s8646,s623,s3220,s5681,s11,s8773,s6636,s4246,s8965,s569,s3285,s8971,s2369,s247,s34,s8623,s8953,s8952,s8954]) ).
cnf(s8974,plain,
( spl2_192
| spl2_186
| spl2_18
| ~ spl2_164
| ~ spl2_176
| spl2_70
| spl2_21
| spl2_175
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s6606,s6642,s6132,s6077,s6647,s7470,s8355,s1229,s3288,s6349,s169,s8360,s937,s3282,s566,s6194,s2670,s3542,s4706,s4749,s804,s1985,s2920,s5733,s3217,s6114,s4304,s8266,s3367,s7590,s6806,s562,s7943,s11,s2369,s247,s34,s4246,s7020,s5504,s3563,s3220,s8623,s8952,s8953,s8954]) ).
cnf(s8975,plain,
( spl2_21
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8609,s418,s4758,s6280,s2134,s4251,s2041,s8974,s7014,s5553,s8694,s8662,s2703,s2749,s5504,s7194,s7020,s3563,s8973,s3285,s8971,s2654,s8965,s3220,s8623,s2133,s8953,s8954]) ).
cnf(s8976,plain,
( ~ spl2_513
| ~ spl2_212
| ~ spl2_166
| spl2_100
| spl2_15
| spl2_43 ),
inference(rat,[],[s6850,s3880,s2206,s6155,s1414,s8952]) ).
cnf(s8977,plain,
( ~ spl2_221
| ~ spl2_20
| ~ spl2_549
| ~ spl2_371
| ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3844,s7490,s4005,s2334,s6154,s4560,s6856,s2063,s3880,s6850,s7092,s5390,s8956,s8976,s4393,s4448,s6185,s2134,s1327,s6342,s4253,s8921,s58,s4305,s8816,s5649,s993,s8646,s3220,s247,s34,s623,s7194,s8791,s191,s8975,s8623,s8952,s8953,s8954]) ).
cnf(s8978,plain,
( ~ spl2_20
| ~ spl2_549
| ~ spl2_371
| ~ spl2_180
| ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8663,s3649,s8921,s377,s1327,s4393,s4448,s6185,s926,s4501,s6109,s2738,s8977,s8975,s8952]) ).
cnf(s8979,plain,
( spl2_192
| spl2_176
| ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4051,s8756,s7894,s9,s1131,s603,s993,s4807,s27,s8702,s8742,s113,s793,s8978,s3364,s3112,s7498,s4244,s562,s3220,s623,s7194,s8791,s191,s8975,s8623,s3285,s8953,s8954,s8952]) ).
cnf(s8980,plain,
( spl2_176
| ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8663,s3649,s8921,s6328,s1327,s7174,s4393,s4406,s926,s4448,s559,s4501,s8061,s793,s27,s2738,s8742,s8647,s8741,s8646,s4805,s8979,s3285,s623,s7194,s8791,s191,s8975,s8623,s8952,s8953,s8954]) ).
cnf(s8981,plain,
( ~ spl2_221
| ~ spl2_20
| ~ spl2_371
| ~ spl2_176
| spl2_164
| ~ spl2_21
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s6342,s8921,s58,s5324,s8816,s5649,s569,s993,s8646,s623,s8952]) ).
cnf(s8982,plain,
( spl2_166
| spl2_472
| ~ spl2_21
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s6177,s8921,s8952]) ).
cnf(s8984,plain,
( ~ spl2_513
| ~ spl2_360
| ~ spl2_235
| ~ spl2_20
| ~ spl2_482
| spl2_15
| ~ spl2_70
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3844,s5498,s8071,s4219,s7535,s3220,s8623]) ).
cnf(s8985,plain,
( spl2_9
| spl2_191
| spl2_221
| ~ spl2_20
| ~ spl2_371
| ~ spl2_166
| ~ spl2_176
| ~ spl2_186
| spl2_15
| ~ spl2_70
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6135,s2258,s6945,s7914,s8062,s4978,s4532,s6502,s7278,s4351,s5342,s6850,s4385,s2302,s2199,s977,s2305,s6644,s2760,s4560,s1530,s1272,s6856,s3288,s8896,s2182,s8984,s7486,s6853,s2133,s1327,s2134,s4628,s3220,s8623,s2664,s2717,s8773,s8461,s5490,s5477,s926,s58,s6342,s3289,s6318,s2738,s8952,s8953,s8954]) ).
cnf(s8986,plain,
( spl2_191
| spl2_221
| ~ spl2_20
| ~ spl2_371
| ~ spl2_176
| ~ spl2_186
| ~ spl2_70
| ~ spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s5498,s1530,s6724,s6856,s5390,s3288,s1368,s8896,s2182,s8984,s7399,s162,s8663,s8985,s3289,s58,s6318,s6342,s926,s8796,s190,s2134,s4628,s8982,s5553,s2133,s3220,s8623,s8791,s191,s2738,s8954]) ).
cnf(s8987,plain,
( ~ spl2_513
| spl2_9
| ~ spl2_212
| ~ spl2_166
| spl2_15
| spl2_161 ),
inference(rat,[],[s5503,s2206,s3880,s5652,s6155,s8623]) ).
cnf(s8988,plain,
( ~ spl2_50
| ~ spl2_1043
| ~ spl2_211
| spl2_508
| spl2_221
| ~ spl2_20
| ~ spl2_371
| spl2_192
| ~ spl2_361
| ~ spl2_176
| ~ spl2_186
| ~ spl2_70
| spl2_175 ),
inference(rat,[],[s4344,s2242,s6647,s3203,s4932,s8653,s1312,s2236,s2254,s980,s5586,s4500,s8495,s8952]) ).
cnf(s8989,plain,
( spl2_501
| ~ spl2_227
| ~ spl2_212
| ~ spl2_211
| spl2_204
| ~ spl2_482
| ~ spl2_166
| ~ spl2_154
| ~ spl2_16 ),
inference(rat,[],[s3844,s7490,s4005,s3880,s6850,s7912,s2302,s2334,s7485,s1327,s8952]) ).
cnf(s8990,plain,
( ~ spl2_20
| spl2_192
| ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8861,s4560,s4529,s8976,s8989,s977,s4306,s1316,s58,s8988,s4393,s4448,s6185,s5324,s8986,s5056,s2664,s8773,s8461,s5490,s2738,s5477,s8981,s1327,s7394,s2134,s4628,s8982,s5553,s8980,s623,s7194,s2133,s3220,s8791,s191,s8975,s4244,s8623,s8954]) ).
cnf(s8991,plain,
( spl2_192
| ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3419,s3284,s8756,s5649,s27,s8742,s113,s793,s8990,s4244,s4051,s4628,s8982,s5553,s8980,s623,s7194,s2133,s3220,s8623,s8791,s191,s8975,s8954]) ).
cnf(s8992,plain,
( ~ spl2_70
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8861,s4560,s4529,s58,s7485,s4500,s7912,s8635,s8090,s4393,s2664,s8987,s4448,s8773,s5490,s6185,s5324,s811,s7158,s793,s2738,s5477,s926,s7470,s8742,s8646,s8609,s8594,s5156,s4805,s4758,s8991,s2134,s4628,s1327,s8982,s5553,s8980,s623,s7194,s8791,s191,s3220,s247,s34,s8623,s2133,s8975,s8954,s8952,s8953]) ).
cnf(s8993,plain,
( spl2_191
| ~ spl2_371
| ~ spl2_180
| ~ spl2_20
| spl2_70
| ~ spl2_21
| spl2_175
| spl2_161 ),
inference(rat,[],[s7005,s56,s8557,s8816,s8646,s726,s7194,s8791,s6280,s6182,s6109,s1098,s926,s3220,s8623,s4267,s5399,s2654,s8953]) ).
cnf(s8994,plain,
( spl2_192
| ~ spl2_180
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s27,s4265,s4629,s4250,s7000,s1554,s5649,s8647,s623,s3367,s3217,s570,s5324,s3307,s8993,s6806,s4244,s562,s3220,s8623,s2133,s8975,s8992,s8953]) ).
cnf(s8995,plain,
( spl2_489
| ~ spl2_212
| ~ spl2_370
| spl2_175
| spl2_161 ),
inference(rat,[],[s3880,s1207,s2063,s3288,s247,s34,s8623,s8953,s8954]) ).
cnf(s8996,plain,
( spl2_191
| ~ spl2_180
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6724,s6644,s5390,s1530,s1296,s6856,s8995,s2041,s8966,s7470,s58,s2981,s7158,s6342,s1327,s8921,s8816,s8646,s623,s726,s7194,s8791,s6280,s6182,s6109,s8993,s1098,s926,s3220,s8623,s4267,s8975,s5399,s2654,s8992,s8994,s8952,s8953]) ).
cnf(s8997,plain,
( ~ spl2_180
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6135,s6504,s2258,s4599,s6945,s7914,s7872,s7410,s1660,s5759,s8662,s4406,s7174,s8647,s8646,s5649,s1105,s2681,s2981,s3975,s1327,s7486,s4253,s8921,s7047,s8816,s8688,s152,s623,s3526,s3563,s5504,s977,s1316,s7000,s4629,s603,s27,s570,s3520,s5324,s3307,s8996,s8994,s3220,s8623,s2133,s5379,s8975,s8992,s8952]) ).
cnf(s8998,plain,
( ~ spl2_186
| spl2_191
| ~ spl2_184
| ~ spl2_371
| ~ spl2_176
| ~ spl2_20
| ~ spl2_21
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s58,s6342,s5649,s8982,s8647,s5553]) ).
cnf(s8999,plain,
( spl2_191
| spl2_192
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s583,s5684,s169,s6280,s1316,s3217,s8791,s5504,s3284,s3367,s7194,s3563,s7183,s623,s8998,s1098,s3220,s2133,s8796,s8975,s3285,s8997,s562,s4244,s8623,s6806,s8992,s8953,s8954]) ).
cnf(s9000,plain,
( spl2_192
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8647,s5649,s623,s7000,s3367,s5195,s3217,s4989,s570,s586,s5324,s8999,s6806,s4244,s562,s3220,s8623,s2133,s8975,s5399,s2654,s8992,s3285,s8997,s8954]) ).
cnf(s9001,plain,
( spl2_191
| ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4253,s2751,s8982,s8662,s7014,s7032,s3372,s2134,s4758,s8594,s926,s3220,s8623,s2133,s8975,s2654,s8992,s3285,s8997,s9000,s8954]) ).
cnf(s9002,plain,
( ~ spl2_513
| spl2_527
| ~ spl2_360
| spl2_15
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s5498,s6194,s4219,s6155,s8623]) ).
cnf(s9003,plain,
( ~ spl2_579
| ~ spl2_371
| spl2_204
| ~ spl2_211
| ~ spl2_192
| ~ spl2_16 ),
inference(rat,[],[s7485,s7912,s4560,s4558,s8952]) ).
cnf(s9004,plain,
( ~ spl2_513
| ~ spl2_482
| ~ spl2_166
| spl2_9
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4005,s3844,s6850,s5498,s2206,s4219,s5652,s7535,s3220,s8623,s7486,s8952]) ).
cnf(s9005,plain,
( ~ spl2_20
| spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1229,s3288,s1567,s6856,s8861,s9004,s9003,s7158,s7470,s5156,s4758,s2134,s6222,s8921,s5553,s8816,s623,s726,s3563,s8791,s5504,s997,s1316,s2664,s7000,s5490,s5793,s4629,s2738,s5477,s3217,s27,s569,s570,s3520,s8773,s5324,s3307,s811,s9001,s9000,s3285,s8997,s5399,s3220,s8623,s2133,s4267,s8975,s2654,s8992,s8954,s8953,s8952]) ).
cnf(s9006,plain,
( spl2_192
| ~ spl2_76
| ~ spl2_360
| ~ spl2_1004
| ~ spl2_39
| ~ spl2_21
| spl2_175
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s6135,s2258,s6945,s8086,s3288,s6856,s2182,s9002,s8791,s6280,s601,s2668,s4608,s993,s8774,s4305,s623,s8672,s4035,s3367,s4244,s562,s8623,s4029,s2921,s2287,s1532,s1274,s8982,s8695,s8952,s8954]) ).
cnf(s9007,plain,
( spl2_175
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s7369,s6646,s3512,s7928,s6942,s4813,s8791,s6135,s997,s8601,s2668,s1686,s8774,s8672,s7158,s912,s909,s7470,s3289,s2041,s9006,s8756,s1329,s9,s3217,s603,s570,s8982,s5684,s940,s8695,s2921,s4029,s4392,s27,s113,s9005,s8975,s3220,s8623,s2133,s8952,s8953,s8954]) ).
cnf(s9008,plain,
( ~ spl2_513
| ~ spl2_70
| spl2_15
| ~ spl2_482
| ~ spl2_235
| ~ spl2_180
| ~ spl2_20
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s5342,s4760,s6644,s7280,s3844,s5121,s8071,s7535,s4211,s3220,s8623,s9007,s8952,s8953]) ).
cnf(s9009,plain,
( spl2_191
| spl2_176
| ~ spl2_371
| spl2_166
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6724,s6644,s5390,s8078,s8956,s9008,s4246,s5649,s8646,s7147,s418,s6280,s2134,s6175,s6109,s1659,s926,s3220,s8623,s11,s562,s377,s3285,s7498,s8952,s8954,s8953]) ).
cnf(s9010,plain,
( ~ spl2_513
| spl2_15
| ~ spl2_370
| ~ spl2_212
| ~ spl2_50
| ~ spl2_183
| ~ spl2_20
| spl2_161 ),
inference(rat,[],[s3288,s1207,s1296,s3880,s7306,s6155,s8623,s8954]) ).
cnf(s9011,plain,
( spl2_176
| ~ spl2_371
| spl2_166
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4560,s6856,s5648,s3288,s6120,s1207,s6851,s8645,s3880,s3207,s2479,s8116,s8956,s2182,s9010,s418,s2981,s6185,s191,s7279,s4246,s58,s1554,s5649,s8647,s623,s3367,s3217,s570,s8640,s9009,s7247,s5491,s7498,s7383,s3285,s3220,s247,s34,s8623,s47,s11,s562,s377,s8954,s8952,s8953]) ).
cnf(s9012,plain,
( ~ spl2_502
| ~ spl2_50
| ~ spl2_190
| ~ spl2_176
| ~ spl2_371
| ~ spl2_163
| spl2_192
| ~ spl2_49
| ~ spl2_175
| ~ spl2_154 ),
inference(rat,[],[s980,s4500,s1312,s4393,s5580,s4989,s3289,s7247,s7570,s5491,s8105,s3967,s6644,s6645,s7280,s3844,s5121,s8954,s8952,s8953]) ).
cnf(s9013,plain,
( ~ spl2_513
| spl2_502
| ~ spl2_50
| spl2_15
| ~ spl2_70
| ~ spl2_20
| ~ spl2_16 ),
inference(rat,[],[s4796,s7306,s7535]) ).
cnf(s9014,plain,
( spl2_513
| ~ spl2_70
| spl2_191
| ~ spl2_176
| ~ spl2_371
| spl2_166
| spl2_192
| ~ spl2_20
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s2134,s8842,s8068,s8963,s8056,s2182,s9007,s562,s377,s926,s7147,s418,s191,s3220,s8623,s8952,s8953,s8954]) ).
cnf(s9015,plain,
( ~ spl2_50
| ~ spl2_513
| spl2_15
| ~ spl2_70
| ~ spl2_176
| ~ spl2_371
| ~ spl2_163
| spl2_192
| spl2_21
| ~ spl2_175
| ~ spl2_154
| ~ spl2_16 ),
inference(rat,[],[s9013,s9012,s47,s11,s7277,s7147]) ).
cnf(s9016,plain,
( ~ spl2_70
| spl2_191
| ~ spl2_371
| spl2_166
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s7367,s6142,s8647,s8646,s5649,s58,s9015,s9014,s623,s7147,s418,s191,s3220,s8623,s9007,s11,s562,s377,s9011,s8952,s8954]) ).
cnf(s9017,plain,
( spl2_191
| ~ spl2_371
| spl2_166
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s7147,s418,s8646,s6280,s5649,s7156,s4246,s7149,s9016,s3220,s8623,s8954]) ).
cnf(s9018,plain,
( ~ spl2_371
| spl2_166
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s7149,s569,s6185,s8640,s9017,s939,s9011,s9007]) ).
cnf(s9019,plain,
( spl2_166
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6945,s6135,s5587,s6642,s6641,s2664,s6606,s6699,s8773,s8571,s6636,s4246,s4796,s7535,s8360,s2285,s8837,s5122,s5121,s2922,s5635,s3283,s6646,s3967,s4328,s5474,s5490,s56,s3282,s926,s5482,s6177,s8640,s5553,s569,s628,s623,s7498,s6098,s7590,s7237,s6810,s3631,s9018,s377,s3220,s247,s34,s8623,s5681,s2133,s9007,s11,s562,s8953,s8954,s8952]) ).
cnf(s9020,plain,
( spl2_191
| ~ spl2_184
| ~ spl2_180
| ~ spl2_371
| ~ spl2_166
| spl2_192
| ~ spl2_20
| ~ spl2_175
| spl2_43 ),
inference(rat,[],[s8810,s7147,s7148,s8646,s5106,s5649,s2664,s58,s6109,s5490,s6342,s926,s5482,s3220,s562,s8773,s8461]) ).
cnf(s9021,plain,
( spl2_15
| ~ spl2_212
| ~ spl2_184
| ~ spl2_370
| ~ spl2_549
| ~ spl2_70
| ~ spl2_371
| ~ spl2_166
| spl2_192
| spl2_21
| spl2_161 ),
inference(rat,[],[s8645,s3207,s6120,s6099,s5648,s4560,s6856,s3288,s1207,s6851,s3880,s2479,s8956,s2182,s8976,s58,s4305,s5649,s8647,s623,s7147,s3220,s247,s34,s8623,s8954,s8952]) ).
cnf(s9022,plain,
( spl2_176
| ~ spl2_70
| ~ spl2_371
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4306,s7590,s2749,s639,s7047,s9021,s6185,s9020,s7247,s5491,s2981,s7498,s7383,s3285,s8623,s9007,s47,s11,s562,s1327,s9019,s191,s8953,s8954]) ).
cnf(s9023,plain,
( spl2_164
| spl2_183
| ~ spl2_233
| spl2_21 ),
inference(rat,[],[s7367,s6142,s8647,s8646,s623,s8952]) ).
cnf(s9024,plain,
( spl2_191
| ~ spl2_371
| ~ spl2_166
| spl2_192
| spl2_21
| ~ spl2_175
| spl2_43 ),
inference(rat,[],[s5106,s7247,s8810,s5491,s7147,s7148,s4640,s9023,s5649,s2664,s58,s5490,s6342,s5482,s3220,s47,s562,s8773,s8461,s11]) ).
cnf(s9025,plain,
( ~ spl2_70
| ~ spl2_371
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s939,s6185,s9022,s9024,s9019,s9007,s8623]) ).
cnf(s9026,plain,
( ~ spl2_371
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s2664,s2817,s5106,s8737,s8810,s1379,s5423,s7147,s7148,s4640,s9023,s5649,s6795,s4246,s2654,s9025,s3220,s8623,s9007,s562,s8773,s8461,s9019,s11]) ).
cnf(s9027,plain,
( ~ spl2_492
| spl2_513
| spl2_191
| ~ spl2_176
| ~ spl2_221
| spl2_21
| ~ spl2_485
| spl2_161 ),
inference(rat,[],[s8673,s8360,s2401,s5122,s247,s34,s8623,s11]) ).
cnf(s9028,plain,
( ~ spl2_70
| spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8071,s2119,s8459,s5608,s4313,s3288,s1273,s977,s3110,s2703,s56,s5474,s3967,s7280,s9027,s8984,s926,s6185,s2133,s11,s7399,s6098,s6810,s628,s5681,s939,s9007,s5553,s7498,s7237,s3220,s623,s7590,s562,s2134,s601,s4608,s3631,s9026,s8623,s9019,s8954,s8953,s8952]) ).
cnf(s9029,plain,
( ~ spl2_513
| ~ spl2_482
| ~ spl2_183
| spl2_15
| ~ spl2_166
| spl2_192
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4005,s6850,s8613,s2206,s3849,s9004,s1417,s7535,s3220,s8623,s603,s4807,s8952]) ).
cnf(s9030,plain,
( ~ spl2_1025
| spl2_513
| spl2_77
| ~ spl2_186
| spl2_371
| spl2_192
| ~ spl2_175 ),
inference(rat,[],[s2152,s2919,s2119,s5608,s3288,s1273,s3110,s56,s5474,s562,s3872,s8954]) ).
cnf(s9031,plain,
( spl2_192
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s2255,s6125,s6092,s8366,s5056,s2664,s5490,s8814,s8673,s9027,s2358,s2401,s2922,s5041,s5635,s3283,s6646,s3967,s4328,s9030,s1256,s2182,s9029,s4246,s9028,s8688,s993,s2134,s9023,s628,s378,s623,s601,s7498,s6098,s7590,s7399,s4608,s7237,s6810,s3631,s9026,s8773,s8461,s9019,s562,s3220,s8623,s5681,s2133,s9007,s11,s8953,s8954,s8952]) ).
cnf(s9032,plain,
( ~ spl2_513
| ~ spl2_50
| ~ spl2_212
| ~ spl2_70
| ~ spl2_180
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4760,s3445,s6645,s7280,s5503,s3844,s1289,s3880,s9013,s7535,s6155,s3220,s8623,s9007,s11,s9031,s8952,s8953]) ).
cnf(s9033,plain,
( spl2_513
| spl2_579
| ~ spl2_191
| ~ spl2_225
| spl2_164
| ~ spl2_180
| ~ spl2_20 ),
inference(rat,[],[s5342,s4760,s4313,s6644,s7280,s3288,s1567,s6218,s6856,s8861,s2182,s623,s8952,s8953,s8954]) ).
cnf(s9034,plain,
( ~ spl2_70
| spl2_164
| spl2_166
| ~ spl2_180
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3844,s4796,s6645,s5390,s7472,s7380,s2859,s1316,s7280,s1418,s58,s1289,s3880,s9032,s3882,s7535,s6155,s9033,s9003,s2664,s8773,s8640,s811,s926,s8061,s5490,s6109,s2738,s5477,s8646,s4805,s3220,s8623,s9007,s11,s9031,s8952,s8953]) ).
cnf(s9035,plain,
( spl2_164
| spl2_166
| ~ spl2_180
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1269,s6630,s8331,s3917,s8571,s8645,s5390,s4812,s7380,s8105,s7280,s6089,s6085,s7388,s1567,s1289,s6070,s7279,s6645,s7535,s6155,s7777,s4393,s4306,s9033,s8662,s8688,s1316,s9003,s6198,s3649,s8640,s2664,s5694,s926,s4501,s2817,s4407,s6109,s2738,s8742,s8647,s8646,s8773,s5649,s6636,s4246,s9034,s623,s3220,s8623,s9007,s11,s9031,s377,s8952,s8953,s8954]) ).
cnf(s9036,plain,
( ~ spl2_503
| spl2_517
| spl2_513
| ~ spl2_263
| ~ spl2_206
| spl2_191
| ~ spl2_70
| ~ spl2_164
| ~ spl2_163
| ~ spl2_192
| spl2_21
| ~ spl2_175
| spl2_161 ),
inference(rat,[],[s1253,s5752,s4313,s1246,s1869,s3288,s5498,s6850,s1289,s5187,s6724,s7154,s2479,s5390,s8673,s3207,s247,s34,s8623,s11,s926,s8954,s8952]) ).
cnf(s9037,plain,
( spl2_1046
| spl2_204
| spl2_503
| ~ spl2_206
| ~ spl2_49 ),
inference(rat,[],[s4313,s3288,s6102,s5187,s6382,s6808,s7167,s8954]) ).
cnf(s9038,plain,
( spl2_509
| ~ spl2_511
| spl2_503
| spl2_513
| ~ spl2_263
| ~ spl2_371
| ~ spl2_16 ),
inference(rat,[],[s4313,s6099,s3288,s1253,s6229,s8954]) ).
cnf(s9039,plain,
( ~ spl2_491
| spl2_503
| spl2_513
| ~ spl2_240
| ~ spl2_179
| ~ spl2_263
| ~ spl2_206
| ~ spl2_231
| ~ spl2_163
| ~ spl2_371
| spl2_161 ),
inference(rat,[],[s5187,s3288,s7490,s1229,s1246,s9038,s6850,s7146,s3491,s3220,s8623,s8954,s8952]) ).
cnf(s9040,plain,
( spl2_191
| ~ spl2_70
| spl2_166
| ~ spl2_180
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3288,s5187,s4313,s2479,s6102,s8673,s6382,s2401,s6317,s3283,s9039,s9036,s1547,s8647,s2182,s7165,s8853,s2970,s6998,s3289,s3874,s5156,s980,s4947,s977,s6109,s1569,s6321,s926,s247,s34,s8623,s47,s11,s1463,s9007,s377,s9035,s4805,s9031,s8954,s8953]) ).
cnf(s9042,plain,
( ~ spl2_504
| ~ spl2_370
| ~ spl2_206
| ~ spl2_212
| spl2_161 ),
inference(rat,[],[s1207,s3288,s3880,s5187,s8954]) ).
cnf(s9043,plain,
( spl2_504
| spl2_513
| ~ spl2_551
| ~ spl2_191
| ~ spl2_70
| spl2_21
| ~ spl2_154
| ~ spl2_139 ),
inference(rat,[],[s2202,s1567,s3207,s8673,s2479,s2157,s1213]) ).
cnf(s9044,plain,
( ~ spl2_206
| ~ spl2_504
| ~ spl2_212
| ~ spl2_180
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s2981,s7279,s9042,s5156,s8953]) ).
cnf(s9045,plain,
( ~ spl2_70
| spl2_361
| spl2_166
| ~ spl2_180
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1246,s6278,s6645,s3288,s1456,s8896,s1316,s58,s2365,s2738,s4947,s9044,s9043,s2182,s8853,s2290,s603,s6191,s570,s6185,s8640,s9040,s3220,s247,s34,s8623,s11,s1463,s9031,s9007,s377,s9035,s8952,s8954]) ).
cnf(s9046,plain,
( spl2_365
| ~ spl2_164
| spl2_77
| spl2_108 ),
inference(rat,[],[s162,s7512,s6998]) ).
cnf(s9047,plain,
( spl2_191
| spl2_513
| ~ spl2_365
| spl2_70
| ~ spl2_368
| ~ spl2_164
| ~ spl2_163
| ~ spl2_180
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s2849,s5587,s3043,s6641,s7166,s6699,s8591,s4978,s4030,s4532,s6502,s3288,s7278,s4313,s4351,s5752,s1869,s6850,s7031,s1542,s3491,s1256,s7280,s1347,s1279,s8688,s2401,s4529,s1368,s8673,s8850,s980,s2664,s977,s2134,s6109,s5490,s1569,s7156,s6321,s926,s5482,s11,s9031,s8773,s6636,s4246,s8623,s2182,s8954,s8953,s8952]) ).
cnf(s9048,plain,
( spl2_166
| spl2_176
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s5502,s2990,s4723,s6166,s8653,s6160,s8366,s8673,s6085,s6087,s6086,s1567,s6642,s2717,s2664,s6645,s6392,s5793,s2817,s1256,s1456,s3217,s8702,s8688,s1316,s570,s3649,s8640,s9047,s2182,s8853,s9046,s8773,s6636,s4246,s9045,s1587,s7515,s9035,s413,s377,s11,s430,s1463,s9031,s9007,s3364,s7500,s8623,s3285,s8953,s8952,s8954]) ).
cnf(s9049,plain,
( ~ spl2_513
| ~ spl2_212
| spl2_77
| ~ spl2_166
| spl2_15
| spl2_108
| spl2_161 ),
inference(rat,[],[s162,s8987,s8976,s8623]) ).
cnf(s9050,plain,
( ~ spl2_70
| spl2_176
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s7239,s3880,s7485,s6154,s4560,s4558,s9033,s9049,s926,s8061,s6109,s2738,s8646,s4805,s3220,s8623,s11,s430,s9031,s3285,s378,s1587,s7394,s9048,s9007,s8952,s8953,s8954]) ).
cnf(s9051,plain,
( ~ spl2_513
| spl2_472
| ~ spl2_370
| ~ spl2_166
| spl2_15
| ~ spl2_192
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s977,s8459,s2703,s8913,s9004,s7535,s4211,s2134,s4628,s3220,s8623]) ).
cnf(s9052,plain,
( spl2_176
| spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8601,s6092,s7542,s8331,s3289,s4978,s4030,s6502,s2041,s1269,s3288,s7278,s3880,s1329,s8688,s4313,s4351,s7239,s603,s1368,s6099,s7485,s4648,s7173,s4560,s8967,s8547,s9033,s2182,s9051,s7410,s6630,s1660,s3918,s5759,s8662,s5056,s2664,s4406,s926,s2817,s7174,s6109,s1122,s2738,s8742,s8647,s8646,s5649,s4246,s9050,s623,s1587,s2134,s8773,s2981,s7394,s4628,s8461,s1327,s9048,s3285,s3220,s247,s34,s8623,s11,s9031,s8952,s8954,s8953]) ).
cnf(s9053,plain,
( spl2_15
| ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8061,s4246,s2738,s1316,s569,s8638,s7011,s4153,s377,s7472,s7279,s4628,s4254,s2041,s2023,s939,s9052,s3220,s8623,s47,s11,s1463,s9031,s9007,s8953]) ).
cnf(s9054,plain,
( ~ spl2_78
| spl2_69
| spl2_123
| ~ spl2_192 ),
inference(rat,[],[s2664,s2817,s997,s191,s8954]) ).
cnf(s9055,plain,
( ~ spl2_212
| ~ spl2_544
| ~ spl2_164
| ~ spl2_9
| ~ spl2_175 ),
inference(rat,[],[s1456,s1587,s2749,s939,s8953]) ).
cnf(s9056,plain,
( ~ spl2_371
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8643,s4406,s262,s7174,s603,s5106,s1329,s2664,s248,s2976,s909,s2817,s2654,s3289,s8357,s2041,s9055,s4636,s1327,s639,s100,s418,s9054,s8773,s6640,s27,s8737,s8738,s8739,s8810,s3874,s1379,s7047,s9053,s5922,s8623,s9007,s11,s9031,s8954,s8953,s8952]) ).
cnf(s9057,plain,
( spl2_164
| spl2_176
| spl2_183
| spl2_166
| spl2_15
| spl2_371
| ~ spl2_192
| ~ spl2_20
| ~ spl2_154
| ~ spl2_16 ),
inference(rat,[],[s3075,s2825,s7535,s9033,s1530,s3844,s6645,s4393,s3289,s8662,s1104,s6198,s1316,s58,s1627,s8640,s6859,s926,s4501,s5423,s6109,s2738,s8647,s8646,s623,s3804,s3285,s3872,s5308,s7383,s8952,s8954,s8953]) ).
cnf(s9058,plain,
( ~ spl2_490
| ~ spl2_511
| ~ spl2_240
| ~ spl2_263
| ~ spl2_386
| ~ spl2_163
| spl2_161 ),
inference(rat,[],[s1253,s1246,s1194,s1229]) ).
cnf(s9059,plain,
( spl2_191
| spl2_513
| ~ spl2_164
| ~ spl2_180
| ~ spl2_70
| ~ spl2_163
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1246,s1253,s7490,s6154,s5187,s3288,s9058,s6850,s7146,s3491,s7280,s6317,s2970,s9037,s3289,s9036,s5156,s980,s4947,s977,s6109,s1569,s6321,s926,s8623,s9007,s47,s11,s4805,s9031,s2660,s965,s4202,s1617,s2754,s3804,s3872,s9056,s8952,s8954,s8953]) ).
cnf(s9060,plain,
( spl2_176
| ~ spl2_70
| spl2_166
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6382,s6102,s8645,s1287,s1567,s3844,s6645,s3288,s1456,s8896,s1316,s58,s2365,s2738,s4947,s6851,s9044,s3880,s9043,s6191,s6185,s8640,s9059,s2182,s8853,s1587,s9046,s9057,s3285,s3220,s247,s34,s8623,s47,s11,s430,s1463,s9007,s9056,s377,s413,s4805,s9031,s8952,s8954,s8953]) ).
cnf(s9061,plain,
( ~ spl2_70
| spl2_166
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8642,s7011,s569,s4153,s2738,s7279,s8061,s2041,s2023,s939,s9060,s47,s11,s1463,s9031,s9007,s377,s8953]) ).
cnf(s9062,plain,
( ~ spl2_513
| spl2_176
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1287,s2829,s3844,s1543,s5498,s2919,s5342,s5344,s4760,s7280,s1289,s7535,s6155,s4211,s3220,s8623,s9007,s9031,s3872,s3285,s5307,s7383,s9056,s8953,s8954]) ).
cnf(s9063,plain,
( spl2_164
| spl2_176
| spl2_166
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1104,s3289,s1316,s1554,s8640,s8968,s9057,s3220,s11,s9031,s4246,s9061,s8623,s3804,s3285,s3872,s9056,s9062,s8954]) ).
cnf(s9064,plain,
( spl2_176
| spl2_166
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s5502,s2990,s4723,s6166,s8653,s6160,s8366,s8673,s6085,s6087,s6086,s1567,s6070,s6645,s1270,s2723,s1456,s5793,s8688,s1316,s6114,s3649,s8640,s6807,s9047,s2660,s1587,s9046,s965,s2754,s9063,s9062,s5308,s7383,s3285,s11,s430,s1463,s9031,s9007,s9056,s7500,s377,s413,s4246,s9061,s8623,s8953,s8952,s8954]) ).
cnf(s9065,plain,
( spl2_166
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1316,s7472,s8640,s7279,s7156,s4254,s2041,s2023,s939,s9064,s4246,s9061,s3220,s8623,s1463,s9031,s9007,s8953,s8954]) ).
cnf(s9066,plain,
( ~ spl2_70
| spl2_513
| ~ spl2_1025
| ~ spl2_180
| spl2_164
| ~ spl2_166
| spl2_371
| ~ spl2_192
| spl2_21
| ~ spl2_154
| spl2_43 ),
inference(rat,[],[s8645,s4529,s6382,s6099,s6102,s6851,s3880,s8547,s4558,s58,s9033,s6859,s926,s8061,s5423,s6109,s2738,s8647,s8646,s4805,s3220,s247,s34,s47,s11,s623,s2182,s8952,s8953]) ).
cnf(s9067,plain,
( spl2_191
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8646,s6109,s8968,s926,s11,s9066,s9062,s7383,s3285,s1587,s7394,s2023,s4628,s3220,s1463,s9007,s9065,s9056,s9031,s8623,s8953,s8954]) ).
cnf(s9068,plain,
( ~ spl2_503
| ~ spl2_179
| ~ spl2_191
| ~ spl2_57
| spl2_513
| ~ spl2_180
| spl2_164
| ~ spl2_482
| ~ spl2_192
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s5759,s8273,s1660,s3288,s7410,s6856,s8967,s4558,s623,s2182,s8953,s8954]) ).
cnf(s9069,plain,
( ~ spl2_221
| spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6099,s4313,s4529,s3288,s8673,s1296,s7173,s9068,s2664,s2817,s3289,s8702,s1554,s993,s8646,s8773,s8461,s11,s2134,s623,s3297,s977,s1105,s2981,s1327,s4246,s9066,s9062,s7383,s3285,s1587,s7394,s2023,s4628,s3220,s1463,s9007,s9065,s9056,s9031,s8623,s9067,s8954,s8953]) ).
cnf(s9070,plain,
( spl2_15
| spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6099,s4529,s6851,s8673,s3880,s7173,s2041,s4558,s2664,s3289,s9033,s5490,s1875,s2738,s5477,s9069,s8547,s9067,s4246,s9066,s9062,s7383,s3285,s1587,s2023,s8773,s7394,s4628,s8461,s9065,s3220,s247,s34,s8623,s11,s1463,s9031,s9007,s3872,s9056,s8952,s8954,s8953]) ).
cnf(s9071,plain,
( spl2_78
| ~ spl2_15
| spl2_100
| ~ spl2_192
| ~ spl2_175
| ~ spl2_154
| spl2_43 ),
inference(rat,[],[s2097,s601,s9055,s4636,s7399,s4608,s1327,s639,s100,s418,s7047,s8954]) ).
cnf(s9072,plain,
( spl2_21
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8646,s965,s1554,s5477,s2681,s4251,s5490,s8688,s7032,s603,s2664,s3649,s1316,s570,s8773,s377,s8640,s811,s6963,s4246,s7156,s601,s997,s191,s6280,s9071,s9070,s3631,s9056,s9031,s11,s3220,s8623,s9007,s8953,s8954]) ).
cnf(s9073,plain,
( spl2_166
| ~ spl2_186
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s926,s559,s3285,s4401,s3649,s993,s5553,s8662,s8663,s8982,s8921,s377,s2133,s9072,s8954,s8953,s8952]) ).
cnf(s9075,plain,
( ~ spl2_20
| spl2_191
| ~ spl2_180
| ~ spl2_371
| ~ spl2_166
| spl2_164 ),
inference(rat,[],[s5649,s58,s8646,s6342,s6109,s926]) ).
cnf(s9076,plain,
( spl2_20
| ~ spl2_371
| spl2_76
| ~ spl2_186
| ~ spl2_21
| spl2_161 ),
inference(rat,[],[s3419,s3284,s8756,s5649,s27,s8742,s113,s793,s3220,s8623,s8954]) ).
cnf(s9077,plain,
( spl2_176
| ~ spl2_371
| ~ spl2_70
| spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4560,s7485,s6856,s7912,s3288,s2664,s1472,s5490,s1445,s5479,s8076,s8892,s2182,s4406,s9049,s4448,s6185,s5324,s9075,s2981,s7498,s7383,s3285,s2133,s9007,s8796,s1327,s2134,s190,s8773,s8461,s9076,s4051,s4628,s9072,s9073,s623,s7147,s3220,s8623,s8952,s8954,s8953]) ).
cnf(s9078,plain,
( ~ spl2_371
| ~ spl2_70
| spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6185,s8986,s939,s8981,s9077,s9076,s2133,s9007,s9072,s4051,s4628,s9073,s623,s7147,s3220,s8623]) ).
cnf(s9079,plain,
( ~ spl2_70
| spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6078,s7281,s5498,s6642,s5632,s6724,s7175,s5390,s7231,s8673,s8062,s2664,s2717,s2401,s2922,s5041,s5635,s58,s8773,s3283,s6646,s6342,s8461,s5490,s3967,s4328,s113,s5482,s6853,s9030,s27,s6185,s8816,s9029,s2390,s939,s993,s8646,s994,s7498,s6098,s7237,s6810,s9078,s9007,s8796,s9072,s562,s2134,s4628,s9073,s623,s7147,s3220,s8623,s8953,s8954,s8952]) ).
cnf(s9080,plain,
( spl2_176
| ~ spl2_371
| spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4005,s2119,s1207,s5608,s3288,s6856,s1411,s1532,s27,s4629,s7000,s9029,s5649,s4798,s5423,s2981,s7383,s3285,s9007,s9072,s562,s1327,s2134,s4628,s9073,s623,s7147,s3220,s8623,s6795,s2654,s9079,s8954,s8953]) ).
cnf(s9081,plain,
( ~ spl2_20
| spl2_191
| ~ spl2_176
| ~ spl2_371
| spl2_70
| spl2_164
| ~ spl2_233
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6792,s6098,s8998,s8981,s2133,s9072,s623,s8952]) ).
cnf(s9082,plain,
( spl2_20
| ~ spl2_371
| spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6135,s2258,s6945,s8086,s3288,s6856,s2182,s2664,s7486,s1532,s2287,s2921,s4029,s9029,s993,s8774,s1379,s27,s2816,s8742,s8702,s8737,s113,s793,s2133,s9007,s2134,s4628,s9073,s623,s7147,s3220,s8623,s3364,s8952,s8954]) ).
cnf(s9083,plain,
( ~ spl2_371
| spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s7000,s4629,s5649,s27,s4798,s2390,s6211,s3307,s5500,s9081,s8981,s9082,s9080,s2133,s9007,s9072,s562,s4628,s9073,s623,s7147,s3220,s8623,s2654,s9079]) ).
cnf(s9084,plain,
( spl2_192
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s4005,s6784,s6850,s6381,s7154,s8645,s8673,s2664,s2401,s5121,s8773,s3283,s8461,s5490,s3967,s113,s926,s5482,s9030,s2182,s27,s5324,s9029,s2390,s569,s8646,s994,s7498,s6098,s7237,s6810,s9083,s2654,s9079,s2134,s4628,s9073,s623,s7147,s562,s3220,s8623,s2133,s9007,s8796,s9072,s8952,s8954,s8953]) ).
cnf(s9085,plain,
( ~ spl2_70
| ~ spl2_192
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8816,s8921,s3649,s1327,s6328,s4393,s926,s7174,s4501,s6109,s4406,s3285,s4448,s939,s8061,s113,s27,s2738,s4798,s1298,s4699,s4805,s9072,s1463,s9007,s8952,s8954,s8953]) ).
cnf(s9086,plain,
( spl2_166
| ~ spl2_231
| ~ spl2_371
| ~ spl2_180
| spl2_70
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8344,s1316,s5649,s2981,s977,s7000,s7279,s975,s5195,s5580,s623,s8662,s1379,s9073,s8982,s8921,s377,s3220,s8623,s2133,s9007,s9072,s8953,s8954,s8952]) ).
cnf(s9087,plain,
( spl2_191
| ~ spl2_371
| spl2_176
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s6135,s2258,s6945,s8086,s3288,s2182,s6856,s9004,s7486,s1532,s2287,s2921,s4029,s2664,s993,s8774,s1379,s27,s2816,s8702,s8737,s113,s793,s9075,s623,s1587,s2134,s7394,s4628,s9086,s6321,s3220,s8623,s2133,s9007,s9085,s9084,s3285,s3364,s8952,s8954,s8953]) ).
cnf(s9088,plain,
( spl2_166
| ~ spl2_191
| ~ spl2_21
| spl2_161 ),
inference(rat,[],[s8663,s3649,s8921,s377,s8952]) ).
cnf(s9089,plain,
( ~ spl2_371
| spl2_176
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s9033,s9003,s9051,s2664,s8662,s2738,s2817,s4406,s8646,s8742,s7174,s1587,s2105,s2981,s7394,s4628,s1327,s9088,s4798,s1316,s5649,s7000,s4629,s113,s27,s3520,s8773,s5324,s3307,s811,s9087,s3220,s8623,s2133,s9072,s1463,s9007,s9085,s9084,s3285,s8953,s8954]) ).
cnf(s9090,plain,
( spl2_166
| ~ spl2_231
| spl2_191
| spl2_371
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8850,s1368,s980,s2182,s2134,s977,s8853,s2660,s502,s113,s975,s9046,s965,s2754,s5195,s4401,s623,s8662,s8663,s9073,s8982,s8921,s377,s2133,s8796,s9072,s430,s1463,s9007,s9085,s9084,s8952,s8954,s8953]) ).
cnf(s9091,plain,
( spl2_541
| spl2_503
| spl2_513
| spl2_204
| ~ spl2_25 ),
inference(rat,[],[s6381,s6784,s8645,s8673,s2182]) ).
cnf(s9092,plain,
( ~ spl2_20
| spl2_164
| ~ spl2_166
| spl2_191
| ~ spl2_180
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3288,s1296,s4313,s6784,s6099,s7485,s4529,s9091,s8967,s9004,s8816,s58,s993,s8646,s2664,s8773,s6342,s6109,s5490,s8461,s9072,s2654,s9085,s9084,s5482,s926,s6321,s2134,s4628,s3220,s8623,s623,s8954]) ).
cnf(s9093,plain,
( spl2_191
| spl2_176
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s3289,s2041,s1875,s940,s993,s27,s8702,s113,s793,s9092,s3297,s977,s623,s1105,s1587,s2981,s7394,s1327,s9090,s6321,s9072,s9084,s3285,s3872,s9089,s8954,s8953]) ).
cnf(s9094,plain,
( spl2_176
| spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s1316,s977,s7000,s1105,s4629,s2981,s27,s1327,s3520,s9088,s5324,s3307,s9093,s9089,s3285,s3220,s8623,s2133,s9072,s9085,s9084,s8954]) ).
cnf(s9095,plain,
( spl2_15
| ~ spl2_154
| spl2_161 ),
inference(rat,[],[s8662,s7014,s8982,s4251,s4628,s2041,s2023,s939,s9094,s2654,s9085,s1463,s9084,s3220,s8623,s2133,s9007,s9072,s8953]) ).
cnf(s9096,plain,
( ~ spl2_154
| spl2_161 ),
inference(rat,[],[s182,s4608,s8793,s637,s144,s496,s121,s7502,s2654,s1116,s601,s116,s191,s6280,s8663,s415,s8791,s7047,s9095,s9072,s8623,s8954,s8953]) ).
cnf(s9097,plain,
( spl2_192
| ~ spl2_1025
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s1554,s3289,s9023,s5468,s7147,s562,s3220,s8623,s410,s493,s7943,s9096,s8954]) ).
cnf(s9098,plain,
( spl2_164
| ~ spl2_371
| spl2_183
| spl2_176
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s3491,s5503,s7280,s1232,s1289,s7306,s7535,s6155,s58,s9033,s6198,s9003,s8662,s2664,s4406,s5490,s976,s2738,s5477,s8646,s11,s8640,s7484,s3220,s8623,s8773,s811,s493,s7943,s3285,s8008,s410,s7390,s9096,s9097,s7383,s8953,s8954]) ).
cnf(s9100,plain,
( ~ spl2_520
| ~ spl2_221
| spl2_513
| ~ spl2_231
| ~ spl2_211
| spl2_161 ),
inference(rat,[],[s7280,s3491,s2401,s5503,s8673,s1232,s8953]) ).
cnf(s9101,plain,
( ~ spl2_224
| ~ spl2_527
| ~ spl2_511
| spl2_1064
| ~ spl2_490
| ~ spl2_221
| ~ spl2_50
| ~ spl2_263
| ~ spl2_164
| ~ spl2_26
| ~ spl2_163
| spl2_161 ),
inference(rat,[],[s1253,s5648,s1246,s6120,s1229,s5133,s8230,s9096,s4313,s8954]) ).
cnf(s9102,plain,
( ~ spl2_164
| ~ spl2_70
| spl2_176
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s5648,s6120,s1253,s8645,s1246,s1567,s6645,s4153,s7011,s9101,s5272,s6608,s3880,s7249,s5621,s4313,s4759,s3288,s5187,s2479,s5390,s9100,s4947,s2365,s58,s1316,s980,s2182,s977,s8629,s975,s247,s34,s377,s47,s8640,s493,s7943,s7484,s3220,s8623,s3285,s7390,s4202,s1623,s8008,s410,s9096,s9097,s7383,s8952,s8954,s8953]) ).
cnf(s9103,plain,
( ~ spl2_70
| spl2_176
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s58,s6859,s1316,s5423,s1858,s8647,s9098,s623,s9102,s4805,s8640,s493,s7943,s7484,s3220,s8623,s7488,s3285,s9096,s9097,s7383,s8953,s8954]) ).
cnf(s9104,plain,
( spl2_176
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s9098,s5649,s975,s1858,s977,s1316,s4246,s9103,s7488,s7390,s3285,s8640,s493,s7943,s7484,s9096,s3220,s8623,s8953,s8954]) ).
cnf(s9105,plain,
( spl2_192
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s7147,s8833,s2369,s569,s9104,s8640,s493,s7943,s7484,s9096,s3220,s247,s34,s8623]) ).
cnf(s9106,plain,
( ~ spl2_371
| ~ spl2_186
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s7281,s4536,s2946,s9013,s2851,s8635,s8653,s4834,s3203,s3289,s5046,s6165,s5580,s5586,s1312,s8495,s1097,s377,s603,s570,s2738,s5056,s2664,s5490,s5477,s11,s8773,s811,s58,s980,s1718,s5272,s4246,s6198,s5553,s939,s2369,s569,s8640,s7484,s3220,s247,s34,s9104,s493,s7943,s9096,s3209,s8623,s8953,s8954,s8952]) ).
cnf(s9107,plain,
( ~ spl2_186
| spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s7280,s3967,s1289,s5423,s7535,s6155,s6859,s7917,s9106,s8647,s4805,s4246,s58,s6198,s5553,s939,s2369,s569,s8640,s493,s7943,s7484,s9096,s3220,s247,s34,s8623,s9104,s9105,s8953,s8952,s8954]) ).
cnf(s9108,plain,
( spl2_21
| spl2_15
| spl2_161 ),
inference(rat,[],[s8673,s4529,s7153,s2302,s7279,s7249,s5503,s4406,s2033,s4956,s8662,s1718,s977,s6198,s1316,s58,s2182,s2365,s8629,s623,s9107,s9105,s4202,s939,s1627,s2369,s569,s9104,s8640,s493,s7943,s3209,s247,s34,s7484,s9096,s3220,s8623,s8953,s8952]) ).
cnf(s9109,plain,
( spl2_164
| ~ spl2_175
| ~ spl2_180
| ~ spl2_235
| ~ spl2_37
| ~ spl2_9 ),
inference(rat,[],[s27,s559,s1021,s993,s8745,s623]) ).
cnf(s9111,plain,
( ~ spl2_70
| ~ spl2_192
| ~ spl2_175
| ~ spl2_180
| ~ spl2_235
| ~ spl2_21 ),
inference(rat,[],[s27,s559,s1298,s4699,s4805,s1463]) ).
cnf(s9112,plain,
( spl2_176
| spl2_15
| spl2_161 ),
inference(rat,[],[s1293,s3283,s2085,s8160,s6612,s1201,s1357,s1274,s4798,s1020,s8751,s8694,s1702,s27,s6798,s2615,s152,s2654,s9111,s980,s2182,s977,s8629,s1569,s7147,s9109,s4202,s1623,s8008,s3285,s247,s6,s34,s410,s727,s5380,s926,s493,s8774,s8663,s8921,s3802,s501,s9088,s9108,s7484,s3220,s8623,s9096,s8954,s8952,s8953]) ).
cnf(s9113,plain,
( ~ spl2_513
| spl2_164
| spl2_15
| spl2_161 ),
inference(rat,[],[s3288,s4680,s4988,s4788,s7249,s3207,s4576,s7535,s977,s980,s8307,s6179,s8647,s8901,s8197,s4202,s1628,s1668,s1564,s5518,s410,s247,s34,s562,s4244,s8899,s174,s499,s926,s1361,s3289,s6318,s113,s27,s972,s7277,s9112,s9088,s2738,s993,s8663,s2772,s623,s8921,s9108,s377,s7484,s9096,s3220,s8623,s8954,s8952,s8953]) ).
cnf(s9114,plain,
( spl2_164
| spl2_15
| spl2_161 ),
inference(rat,[],[s3207,s2202,s1226,s8835,s8103,s2182,s9113,s5122,s3283,s8105,s8054,s4407,s8647,s8901,s8197,s4202,s1628,s1346,s4244,s562,s1668,s1770,s8899,s1564,s1361,s3289,s5056,s6318,s5490,s174,s113,s27,s2738,s972,s2772,s993,s7277,s623,s247,s34,s2766,s410,s377,s5482,s926,s499,s9088,s8774,s8663,s8921,s7484,s9096,s3220,s8623,s9108,s5518,s9112,s8953,s8954,s8952]) ).
cnf(s9115,plain,
( ~ spl2_70
| spl2_15
| spl2_161 ),
inference(rat,[],[s113,s8631,s27,s5793,s1298,s3217,s4805,s193,s4699,s377,s8796,s8921,s9088,s9108,s7484,s1463,s8629,s4202,s1623,s9096,s7147,s3220,s7194,s9114,s8623,s8952]) ).
cnf(s9116,plain,
( spl2_15
| spl2_161 ),
inference(rat,[],[s8160,s7280,s1202,s1293,s2066,s7389,s1274,s4798,s1020,s8751,s1702,s27,s6798,s2615,s152,s2654,s9115,s8629,s4202,s1623,s7147,s7194,s9114,s3802,s8774,s493,s501,s8663,s9088,s8921,s9108,s377,s727,s7484,s3220,s247,s34,s8623,s5380,s9096,s8953,s8952,s8954]) ).
cnf(s9117,plain,
( spl2_164
| spl2_21
| spl2_161 ),
inference(rat,[],[s4608,s162,s6198,s430,s8662,s4246,s5662,s7041,s601,s191,s6280,s639,s378,s8008,s628,s8623,s410,s7047,s9116,s493,s478,s7943,s9096,s8953,s8954]) ).
cnf(s9118,plain,
( spl2_192
| spl2_176
| spl2_21
| spl2_161 ),
inference(rat,[],[s4706,s577,s7149,s3217,s3289,s5272,s3367,s5468,s5662,s562,s8623,s410,s493,s7943,s4640,s2749,s977,s975,s7390,s9096,s9117,s7047,s9116,s8954,s8953]) ).
cnf(s9119,plain,
( ~ spl2_211
| ~ spl2_513
| ~ spl2_511
| ~ spl2_264
| ~ spl2_20 ),
inference(rat,[],[s58,s7306,s1316,s1232]) ).
cnf(s9120,plain,
( ~ spl2_70
| spl2_176
| spl2_21
| spl2_161 ),
inference(rat,[],[s5342,s2958,s6644,s4796,s6196,s5390,s8334,s6647,s7375,s8048,s1708,s2738,s1566,s4947,s4627,s4749,s2670,s3874,s1985,s2920,s7463,s603,s804,s3631,s4304,s1329,s4608,s1327,s8640,s9119,s4211,s8514,s7864,s601,s100,s5272,s191,s247,s34,s4593,s3220,s8623,s11,s493,s7943,s8008,s410,s2749,s977,s975,s7390,s9096,s9117,s7047,s9116,s9118,s8952,s8953,s8954]) ).
cnf(s9121,plain,
( spl2_176
| spl2_21
| spl2_161 ),
inference(rat,[],[s8643,s262,s4406,s248,s7174,s27,s5106,s8739,s2670,s1333,s603,s804,s3631,s2981,s1329,s7399,s1327,s8640,s1316,s4246,s2654,s9120,s980,s977,s975,s7390,s8008,s3285,s247,s34,s410,s4593,s3220,s8623,s8810,s7047,s9116,s493,s7943,s9096,s9117,s8953,s8954]) ).
cnf(s9122,plain,
( spl2_192
| spl2_21
| spl2_161 ),
inference(rat,[],[s5106,s566,s2670,s4706,s804,s3217,s6114,s7247,s3367,s5491,s562,s8623,s8810,s7047,s9116,s47,s493,s7943,s9096,s4640,s9117,s9121]) ).
cnf(s9123,plain,
( ~ spl2_211
| ~ spl2_513
| spl2_21
| spl2_161 ),
inference(rat,[],[s1289,s3283,s1445,s6112,s1428,s3676,s1417,s2290,s2369,s3217,s603,s569,s570,s3220,s247,s34,s8623,s9117,s9121,s9122,s8954]) ).
cnf(s9124,plain,
( ~ spl2_70
| spl2_21
| spl2_161 ),
inference(rat,[],[s5342,s2958,s6644,s4796,s6196,s5390,s8334,s6647,s7375,s8048,s5056,s5490,s2738,s5477,s601,s4947,s5272,s4627,s4749,s3874,s1985,s2920,s7463,s2749,s603,s3631,s4304,s4306,s1329,s7399,s8640,s9123,s4211,s8514,s100,s191,s247,s34,s4593,s3220,s8623,s7047,s9116,s11,s8773,s811,s493,s7943,s9096,s9122,s8952,s8953,s8954]) ).
cnf(s9125,plain,
( ~ spl2_211
| spl2_21
| spl2_161 ),
inference(rat,[],[s6280,s100,s1718,s8514,s1316,s9123,s3209,s247,s34,s9096,s7047,s9116,s4246,s9124,s8623,s8952]) ).
cnf(s9126,plain,
( spl2_21
| spl2_161 ),
inference(rat,[],[s262,s8643,s248,s7041,s27,s2134,s1305,s4758,s5649,s3874,s603,s3631,s1329,s7399,s8640,s9125,s4246,s2654,s9124,s9122,s9121,s493,s7943,s4593,s9096,s3220,s8623,s7047,s9116,s8954]) ).
cnf(s9127,plain,
( spl2_191
| spl2_161 ),
inference(rat,[],[s4244,s1333,s997,s5106,s8738,s2662,s6204,s2615,s248,s500,s493,s501,s247,s34,s8810,s8774,s8663,s7047,s2654,s191,s980,s1718,s6280,s8791,s9126,s9116,s9096,s3209,s8623,s8953,s8952,s8954]) ).
cnf(s9128,plain,
spl2_161,
inference(rat,[],[s27,s248,s8739,s262,s1333,s603,s3631,s1329,s7399,s637,s9127,s8643,s980,s2654,s7041,s1718,s191,s6280,s8791,s9126,s7047,s9116,s4593,s9096,s247,s34,s3209,s3220,s8623,s8953,s8954]) ).
cnf(s9133,plain,
~ spl2_69,
inference(rat,[],[s6619,s7472,s7279,s3601,s3591,s1748,s8688,s6636,s8774,s8773,s8953,s9128]) ).
cnf(s9135,plain,
spl2_31,
inference(rat,[],[s3603,s9128,s9133]) ).
cnf(s9138,plain,
spl2_40,
inference(rat,[],[s3596,s9128,s9133]) ).
cnf(s9139,plain,
spl2_57,
inference(rat,[],[s7628,s9135]) ).
cnf(s9141,plain,
~ spl2_172,
inference(rat,[],[s6636,s9139]) ).
cnf(s9146,plain,
~ spl2_67,
inference(rat,[],[s8727,s9128,s9141]) ).
cnf(s9147,plain,
spl2_20,
inference(rat,[],[s113,s9138]) ).
cnf(s9150,plain,
~ spl2_30,
inference(rat,[],[s8814,s9146]) ).
cnf(s9151,plain,
$false,
inference(rat,[],[s5490,s9135,s9147,s9150]) ).
thf(f69364,plain,
$false,
inference(avatar_sat_refutation,[],[s9151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRA092^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 % Computer : n016.cluster.edu
% 0.12/0.23 % Model : x86_64 x86_64
% 0.12/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.23 % Memory : 8046.5625MB
% 0.12/0.23 % OS : Linux 6.8.0-71-generic
% 0.12/0.23 % CPULimit : 300
% 0.12/0.23 % WCLimit : 300
% 0.12/0.23 % DateTime : Tue Sep 29 19:00:50 UTC 2026
% 0.12/0.24 % CPUTime :
% 0.12/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running higher-order theorem proving
% 0.25/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.54 % (770376)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.29/0.54 % (770384)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=1550889104:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.29/0.54 % (770382)lrs+10_16_si=on:nwc=1.5:random_seed=3726121670:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.29/0.54 % (770387)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.29/0.54 % (770387)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.29/0.54 % (770386)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1930433103:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.29/0.54 % (770387)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=329055996:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.29/0.54 % (770385)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1252559359:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.29/0.54 % (770382)Instruction limit reached!
% 0.29/0.54 % (770382)------------------------------
% 0.29/0.54 % (770382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.54 % (770382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.54 % (770382)CaDiCaL version: 2.1.3
% 0.29/0.54 % (770382)Termination reason: Instruction limit
% 0.29/0.54 % (770382)Termination phase: Saturation
% 0.29/0.54 % (770382)Time elapsed: 0.015 s
% 0.29/0.54 % (770382)Peak memory usage: 12 MB
% 0.29/0.54 % (770382)Instructions burned: 18 (million)
% 0.29/0.54 % (770383)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=289892231:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.29/0.54 % (770381)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3179020281:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.29/0.54 % (770383)Instruction limit reached!
% 0.29/0.54 % (770383)------------------------------
% 0.29/0.54 % (770383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.54 % (770383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.54 % (770383)CaDiCaL version: 2.1.3
% 0.29/0.54 % (770383)Termination reason: Instruction limit
% 0.29/0.54 % (770383)Termination phase: Saturation
% 0.29/0.54 % (770383)Time elapsed: 0.004 s
% 0.29/0.54 % (770383)Peak memory usage: 12 MB
% 0.29/0.54 % (770383)Instructions burned: 3 (million)
% 0.29/0.54 % (770385)Instruction limit reached!
% 0.29/0.54 % (770385)------------------------------
% 0.29/0.54 % (770385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.54 % (770385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.54 % (770385)CaDiCaL version: 2.1.3
% 0.29/0.54 % (770385)Termination reason: Instruction limit
% 0.29/0.54 % (770385)Termination phase: Saturation
% 0.29/0.54 % (770385)Time elapsed: 0.022 s
% 0.29/0.54 % (770385)Peak memory usage: 11 MB
% 0.29/0.54 % (770385)Instructions burned: 24 (million)
% 0.29/0.54 % (770393)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4026086894:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.54 % (770393)Instruction limit reached!
% 0.29/0.54 % (770393)------------------------------
% 0.29/0.54 % (770393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.54 % (770393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.54 % (770393)CaDiCaL version: 2.1.3
% 0.29/0.54 % (770393)Termination reason: Instruction limit
% 0.29/0.54 % (770393)Termination phase: Saturation
% 0.29/0.54 % (770393)Time elapsed: 0.003 s
% 0.29/0.54 % (770393)Peak memory usage: 12 MB
% 0.29/0.54 % (770393)Instructions burned: 2 (million)
% 0.29/0.54 % (770396)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1151345786:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.29/0.54 % (770397)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.37/0.58 % (770396)Instruction limit reached!
% 1.37/0.58 % (770396)------------------------------
% 1.37/0.58 % (770396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.58 % (770396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.58 % (770396)CaDiCaL version: 2.1.3
% 1.37/0.58 % (770396)Termination reason: Instruction limit
% 1.37/0.58 % (770396)Termination phase: Saturation
% 1.37/0.58 % (770396)Time elapsed: 0.006 s
% 1.37/0.58 % (770396)Peak memory usage: 12 MB
% 1.37/0.58 % (770396)Instructions burned: 6 (million)
% 1.37/0.58 % (770397)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=233627770:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.37/0.58 % (770386)Instruction limit reached!
% 1.37/0.58 % (770386)------------------------------
% 1.37/0.58 % (770386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.58 % (770386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.58 % (770386)CaDiCaL version: 2.1.3
% 1.37/0.58 % (770386)Termination reason: Instruction limit
% 1.37/0.58 % (770386)Termination phase: Saturation
% 1.37/0.58 % (770386)Time elapsed: 0.062 s
% 1.37/0.58 % (770386)Peak memory usage: 12 MB
% 1.37/0.58 % (770386)Instructions burned: 76 (million)
% 1.37/0.58 % (770397)Instruction limit reached!
% 1.37/0.58 % (770397)------------------------------
% 1.37/0.58 % (770397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.58 % (770397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.58 % (770397)CaDiCaL version: 2.1.3
% 1.37/0.58 % (770397)Termination reason: Instruction limit
% 1.37/0.58 % (770397)Termination phase: Saturation
% 1.37/0.58 % (770397)Time elapsed: 0.007 s
% 1.37/0.58 % (770397)Peak memory usage: 12 MB
% 1.37/0.58 % (770397)Instructions burned: 7 (million)
% 1.37/0.58 % (770381)Instruction limit reached!
% 1.37/0.58 % (770381)------------------------------
% 1.37/0.58 % (770381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.58 % (770381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.58 % (770381)CaDiCaL version: 2.1.3
% 1.37/0.58 % (770381)Termination reason: Instruction limit
% 1.37/0.58 % (770381)Termination phase: Saturation
% 1.37/0.58 % (770381)Time elapsed: 0.060 s
% 1.37/0.58 % (770381)Peak memory usage: 12 MB
% 1.37/0.58 % (770381)Instructions burned: 88 (million)
% 1.37/0.58 % (770399)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1873372770:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.37/0.58 % (770399)Instruction limit reached!
% 1.37/0.58 % (770399)------------------------------
% 1.37/0.58 % (770399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.58 % (770399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.58 % (770399)CaDiCaL version: 2.1.3
% 1.37/0.58 % (770399)Termination reason: Instruction limit
% 1.37/0.58 % (770399)Termination phase: Saturation
% 1.37/0.58 % (770399)Time elapsed: 0.013 s
% 1.37/0.58 % (770399)Peak memory usage: 12 MB
% 1.37/0.58 % (770399)Instructions burned: 13 (million)
% 1.37/0.58 % (770403)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=2460287041:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.37/0.58 % (770401)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
% 1.37/0.58 % (770401)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.37/0.58 % (770404)lrs+10_1_si=on:cs=on:random_seed=2524573305:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.37/0.58 % (770405)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.37/0.58 % (770401)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1997139188:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.37/0.62 % (770405)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=2624142190:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.37/0.62 % (770387)Instruction limit reached!
% 1.37/0.62 % (770387)------------------------------
% 1.37/0.62 % (770387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.62 % (770387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.62 % (770387)CaDiCaL version: 2.1.3
% 1.37/0.62 % (770387)Termination reason: Instruction limit
% 1.37/0.62 % (770387)Termination phase: Saturation
% 1.37/0.62 % (770387)Time elapsed: 0.105 s
% 1.37/0.62 % (770387)Peak memory usage: 12 MB
% 1.37/0.62 % (770387)Instructions burned: 157 (million)
% 1.37/0.62 % (770405)Instruction limit reached!
% 1.37/0.62 % (770405)------------------------------
% 1.37/0.62 % (770405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.62 % (770405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.62 % (770405)CaDiCaL version: 2.1.3
% 1.37/0.62 % (770405)Termination reason: Instruction limit
% 1.37/0.62 % (770405)Termination phase: Property scanning
% 1.37/0.62 % (770405)Time elapsed: 0.002 s
% 1.37/0.62 % (770405)Peak memory usage: 10 MB
% 1.37/0.62 % (770405)Instructions burned: 2 (million)
% 1.37/0.62 % (770404)Instruction limit reached!
% 1.37/0.62 % (770404)------------------------------
% 1.37/0.62 % (770404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.62 % (770404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.62 % (770404)CaDiCaL version: 2.1.3
% 1.37/0.62 % (770404)Termination reason: Instruction limit
% 1.37/0.62 % (770404)Termination phase: Saturation
% 1.37/0.62 % (770404)Time elapsed: 0.008 s
% 1.37/0.62 % (770404)Peak memory usage: 12 MB
% 1.37/0.62 % (770404)Instructions burned: 8 (million)
% 1.37/0.62 % (770407)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2546970217:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.37/0.62 % (770407)Refutation not found, incomplete strategy
% 1.37/0.62 % (770407)------------------------------
% 1.37/0.62 % (770407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.62 % (770407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.62 % (770407)CaDiCaL version: 2.1.3
% 1.37/0.62 % (770407)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.62 % (770407)Time elapsed: 0.001 s
% 1.37/0.62 % (770407)Peak memory usage: 11 MB
% 1.37/0.62 % (770407)------------------------------
% 1.37/0.62 % (770407)------------------------------
% 1.37/0.62 % (770412)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1978448809:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.37/0.62 % (770413)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4239400288:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.37/0.62 % (770414)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2859333855:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.62 % (770412)Refutation not found, incomplete strategy
% 1.37/0.62 % (770412)------------------------------
% 1.37/0.62 % (770412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.62 % (770412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.62 % (770412)CaDiCaL version: 2.1.3
% 1.37/0.62 % (770412)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.62 % (770412)Time elapsed: 0.001 s
% 1.37/0.62 % (770412)Peak memory usage: 11 MB
% 1.37/0.62 % (770413)Refutation not found, incomplete strategy
% 1.37/0.62 % (770413)------------------------------
% 1.37/0.62 % (770413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.62 % (770413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.62 % (770413)CaDiCaL version: 2.1.3
% 1.37/0.62 % (770413)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.62 % (770413)Time elapsed: 0.001 s
% 1.37/0.62 % (770413)Peak memory usage: 11 MB
% 1.37/0.62 % (770412)------------------------------
% 1.37/0.62 % (770412)------------------------------
% 1.37/0.62 % (770413)------------------------------
% 2.10/0.67 % (770413)------------------------------
% 2.10/0.67 % (770401)Instruction limit reached!
% 2.10/0.67 % (770401)------------------------------
% 2.10/0.67 % (770401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.67 % (770401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.67 % (770401)CaDiCaL version: 2.1.3
% 2.10/0.67 % (770401)Termination reason: Instruction limit
% 2.10/0.67 % (770401)Termination phase: Saturation
% 2.10/0.67 % (770401)Time elapsed: 0.044 s
% 2.10/0.67 % (770401)Peak memory usage: 12 MB
% 2.10/0.67 % (770401)Instructions burned: 29 (million)
% 2.10/0.67 % (770414)Instruction limit reached!
% 2.10/0.67 % (770414)------------------------------
% 2.10/0.67 % (770414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.67 % (770414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.67 % (770414)CaDiCaL version: 2.1.3
% 2.10/0.67 % (770414)Termination reason: Instruction limit
% 2.10/0.67 % (770414)Termination phase: Saturation
% 2.10/0.67 % (770414)Time elapsed: 0.015 s
% 2.10/0.67 % (770414)Peak memory usage: 12 MB
% 2.10/0.67 % (770414)Instructions burned: 14 (million)
% 2.10/0.67 % (770416)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=718006011:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 2.10/0.67 % (770416)Refutation not found, incomplete strategy
% 2.10/0.67 % (770416)------------------------------
% 2.10/0.67 % (770416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.67 % (770416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.67 % (770416)CaDiCaL version: 2.1.3
% 2.10/0.67 % (770416)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.67 % (770416)Time elapsed: 0.001 s
% 2.10/0.67 % (770416)Peak memory usage: 11 MB
% 2.10/0.67 % (770416)Instructions burned: 1 (million)
% 2.10/0.67 % (770416)------------------------------
% 2.10/0.67 % (770416)------------------------------
% 2.10/0.67 % (770403)Instruction limit reached!
% 2.10/0.67 % (770403)------------------------------
% 2.10/0.67 % (770403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.67 % (770403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.67 % (770403)CaDiCaL version: 2.1.3
% 2.10/0.67 % (770403)Termination reason: Instruction limit
% 2.10/0.67 % (770403)Termination phase: Saturation
% 2.10/0.67 % (770403)Time elapsed: 0.073 s
% 2.10/0.67 % (770403)Peak memory usage: 12 MB
% 2.10/0.67 % (770403)Instructions burned: 86 (million)
% 2.10/0.67 % (770420)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4022428556:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.10/0.67 % (770421)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1531571056:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.10/0.67 % (770421)Refutation not found, incomplete strategy
% 2.10/0.67 % (770421)------------------------------
% 2.10/0.67 % (770421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.67 % (770421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.67 % (770421)CaDiCaL version: 2.1.3
% 2.10/0.67 % (770421)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.67 % (770421)Time elapsed: 0.001 s
% 2.10/0.67 % (770421)Peak memory usage: 11 MB
% 2.10/0.67 % (770421)------------------------------
% 2.10/0.67 % (770421)------------------------------
% 2.10/0.67 % (770422)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3676528489:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.10/0.67 % (770384)Instruction limit reached!
% 2.10/0.67 % (770384)------------------------------
% 2.10/0.67 % (770384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.67 % (770384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.67 % (770384)CaDiCaL version: 2.1.3
% 2.10/0.67 % (770384)Termination reason: Instruction limit
% 2.10/0.67 % (770384)Termination phase: Saturation
% 2.10/0.67 % (770384)Time elapsed: 0.196 s
% 2.10/0.67 % (770384)Peak memory usage: 13 MB
% 2.10/0.67 % (770384)Instructions burned: 637 (million)
% 2.10/0.67 % (770420)Instruction limit reached!
% 2.10/0.67 % (770420)------------------------------
% 2.10/0.67 % (770420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.72 % (770420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.72 % (770420)CaDiCaL version: 2.1.3
% 2.24/0.72 % (770420)Termination reason: Instruction limit
% 2.24/0.72 % (770420)Termination phase: Saturation
% 2.24/0.72 % (770420)Time elapsed: 0.013 s
% 2.24/0.72 % (770420)Peak memory usage: 12 MB
% 2.24/0.72 % (770420)Instructions burned: 14 (million)
% 2.24/0.72 % (770424)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2900815910:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.24/0.72 % (770425)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=16325771:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.24/0.72 % (770431)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=391141609:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.24/0.72 % (770426)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
% 2.24/0.72 % (770426)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.24/0.72 % (770429)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.24/0.72 % (770422)Instruction limit reached!
% 2.24/0.72 % (770422)------------------------------
% 2.24/0.72 % (770422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.72 % (770422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.72 % (770422)CaDiCaL version: 2.1.3
% 2.24/0.72 % (770422)Termination reason: Instruction limit
% 2.24/0.72 % (770422)Termination phase: Saturation
% 2.24/0.72 % (770422)Time elapsed: 0.023 s
% 2.24/0.72 % (770422)Peak memory usage: 12 MB
% 2.24/0.72 % (770422)Instructions burned: 27 (million)
% 2.24/0.72 % (770424)Instruction limit reached!
% 2.24/0.72 % (770424)------------------------------
% 2.24/0.72 % (770424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.72 % (770424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.72 % (770424)CaDiCaL version: 2.1.3
% 2.24/0.72 % (770424)Termination reason: Instruction limit
% 2.24/0.72 % (770424)Termination phase: Saturation
% 2.24/0.72 % (770424)Time elapsed: 0.019 s
% 2.24/0.72 % (770424)Peak memory usage: 11 MB
% 2.24/0.72 % (770424)Instructions burned: 24 (million)
% 2.24/0.72 % (770429)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=3883896002:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.24/0.72 % (770426)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=360960356:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.24/0.72 % (770431)Instruction limit reached!
% 2.24/0.72 % (770431)------------------------------
% 2.24/0.72 % (770431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.72 % (770431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.72 % (770431)CaDiCaL version: 2.1.3
% 2.24/0.72 % (770431)Termination reason: Instruction limit
% 2.24/0.72 % (770431)Termination phase: Saturation
% 2.24/0.72 % (770431)Time elapsed: 0.015 s
% 2.24/0.72 % (770431)Peak memory usage: 12 MB
% 2.24/0.72 % (770431)Instructions burned: 33 (million)
% 2.24/0.72 % (770433)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1210739086:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.24/0.72 % (770429)Instruction limit reached!
% 2.24/0.72 % (770429)------------------------------
% 2.24/0.72 % (770429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.72 % (770429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.72 % (770429)CaDiCaL version: 2.1.3
% 2.24/0.72 % (770429)Termination reason: Instruction limit
% 2.24/0.72 % (770429)Termination phase: Saturation
% 2.24/0.72 % (770429)Time elapsed: 0.008 s
% 2.24/0.72 % (770429)Peak memory usage: 12 MB
% 2.24/0.72 % (770429)Instructions burned: 8 (million)
% 2.24/0.72 % (770433)Instruction limit reached!
% 2.24/0.79 % (770433)------------------------------
% 2.24/0.79 % (770433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.79 % (770433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.79 % (770433)CaDiCaL version: 2.1.3
% 2.24/0.79 % (770433)Termination reason: Instruction limit
% 2.24/0.79 % (770433)Termination phase: Saturation
% 2.24/0.79 % (770433)Time elapsed: 0.007 s
% 2.24/0.79 % (770433)Peak memory usage: 12 MB
% 2.24/0.79 % (770433)Instructions burned: 7 (million)
% 2.24/0.79 % (770440)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=54712620:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.24/0.79 % (770426)Instruction limit reached!
% 2.24/0.79 % (770426)------------------------------
% 2.24/0.79 % (770426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.79 % (770426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.79 % (770426)CaDiCaL version: 2.1.3
% 2.24/0.79 % (770426)Termination reason: Instruction limit
% 2.24/0.79 % (770426)Termination phase: Saturation
% 2.24/0.79 % (770426)Time elapsed: 0.022 s
% 2.24/0.79 % (770426)Peak memory usage: 12 MB
% 2.24/0.79 % (770426)Instructions burned: 14 (million)
% 2.24/0.79 % (770436)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1548199910:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.24/0.79 % (770437)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=833099327:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.24/0.79 % (770425)Instruction limit reached!
% 2.24/0.79 % (770425)------------------------------
% 2.24/0.79 % (770425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.79 % (770425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.79 % (770425)CaDiCaL version: 2.1.3
% 2.24/0.79 % (770425)Termination reason: Instruction limit
% 2.24/0.79 % (770425)Termination phase: Saturation
% 2.24/0.79 % (770425)Time elapsed: 0.053 s
% 2.24/0.79 % (770425)Peak memory usage: 12 MB
% 2.24/0.79 % (770425)Instructions burned: 60 (million)
% 2.24/0.79 % (770442)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2445109539:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.24/0.79 % (770436)Instruction limit reached!
% 2.24/0.79 % (770436)------------------------------
% 2.24/0.79 % (770436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.79 % (770436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.79 % (770436)CaDiCaL version: 2.1.3
% 2.24/0.79 % (770436)Termination reason: Instruction limit
% 2.24/0.79 % (770436)Termination phase: Saturation
% 2.24/0.79 % (770436)Time elapsed: 0.019 s
% 2.24/0.79 % (770436)Peak memory usage: 11 MB
% 2.24/0.79 % (770436)Instructions burned: 24 (million)
% 2.24/0.79 % (770443)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2007791297:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.24/0.79 % (770437)Instruction limit reached!
% 2.24/0.79 % (770437)------------------------------
% 2.24/0.79 % (770437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.79 % (770437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.79 % (770437)CaDiCaL version: 2.1.3
% 2.24/0.79 % (770437)Termination reason: Instruction limit
% 2.24/0.79 % (770437)Termination phase: Saturation
% 2.24/0.79 % (770437)Time elapsed: 0.020 s
% 2.24/0.79 % (770437)Peak memory usage: 12 MB
% 2.24/0.79 % (770437)Instructions burned: 20 (million)
% 2.24/0.79 % (770443)Refutation not found, incomplete strategy
% 2.24/0.79 % (770443)------------------------------
% 2.24/0.79 % (770443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.79 % (770443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.79 % (770443)CaDiCaL version: 2.1.3
% 2.24/0.79 % (770443)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.79 % (770443)Time elapsed: 0.001 s
% 2.24/0.79 % (770443)Peak memory usage: 11 MB
% 2.24/0.79 % (770443)Instructions burned: 1 (million)
% 2.24/0.79 % (770443)------------------------------
% 2.24/0.79 % (770443)------------------------------
% 2.24/0.79 % (770448)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.24/0.79 % (770448)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3450464089:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.92/0.91 % (770448)Instruction limit reached!
% 2.92/0.91 % (770448)------------------------------
% 2.92/0.91 % (770448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.91 % (770448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.91 % (770448)CaDiCaL version: 2.1.3
% 2.92/0.91 % (770448)Termination reason: Instruction limit
% 2.92/0.91 % (770448)Termination phase: Saturation
% 2.92/0.91 % (770448)Time elapsed: 0.007 s
% 2.92/0.91 % (770448)Peak memory usage: 12 MB
% 2.92/0.91 % (770448)Instructions burned: 8 (million)
% 2.92/0.91 % (770453)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.92/0.91 % (770445)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2692755522:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.92/0.91 % (770450)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3518429318:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.92/0.91 % (770450)Refutation not found, incomplete strategy
% 2.92/0.91 % (770450)------------------------------
% 2.92/0.91 % (770450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.91 % (770450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.91 % (770450)CaDiCaL version: 2.1.3
% 2.92/0.91 % (770450)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.91 % (770450)Time elapsed: 0.001 s
% 2.92/0.91 % (770450)Peak memory usage: 11 MB
% 2.92/0.91 % (770450)Instructions burned: 1 (million)
% 2.92/0.91 % (770452)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=4156491632: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)
% 2.92/0.91 % (770450)------------------------------
% 2.92/0.91 % (770450)------------------------------
% 2.92/0.91 % (770453)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2810698680:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.92/0.91 % (770452)Refutation not found, incomplete strategy
% 2.92/0.91 % (770452)------------------------------
% 2.92/0.91 % (770452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.91 % (770452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.91 % (770452)CaDiCaL version: 2.1.3
% 2.92/0.91 % (770452)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.91 % (770452)Time elapsed: 0.001 s
% 2.92/0.91 % (770452)Peak memory usage: 11 MB
% 2.92/0.91 % (770452)Instructions burned: 1 (million)
% 2.92/0.91 % (770452)------------------------------
% 2.92/0.91 % (770452)------------------------------
% 2.92/0.91 % (770453)Refutation not found, incomplete strategy
% 2.92/0.91 % (770453)------------------------------
% 2.92/0.91 % (770453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.91 % (770453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.91 % (770453)CaDiCaL version: 2.1.3
% 2.92/0.91 % (770453)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.91 % (770453)Time elapsed: 0.002 s
% 2.92/0.91 % (770453)Peak memory usage: 11 MB
% 2.92/0.91 % (770453)Instructions burned: 1 (million)
% 2.92/0.91 % (770453)------------------------------
% 2.92/0.91 % (770453)------------------------------
% 2.92/0.91 % (770455)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1252660022:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.92/0.91 % (770459)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2787955867:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.92/0.91 % (770445)Instruction limit reached!
% 2.92/0.91 % (770445)------------------------------
% 2.92/0.91 % (770445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.91 % (770445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.91 % (770445)CaDiCaL version: 2.1.3
% 2.92/0.91 % (770445)Termination reason: Instruction limit
% 2.92/0.98 % (770445)Termination phase: Saturation
% 2.92/0.98 % (770445)Time elapsed: 0.037 s
% 2.92/0.98 % (770445)Peak memory usage: 12 MB
% 2.92/0.98 % (770445)Instructions burned: 42 (million)
% 2.92/0.98 % (770459)Refutation not found, incomplete strategy
% 2.92/0.98 % (770459)------------------------------
% 2.92/0.98 % (770459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.98 % (770459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.98 % (770459)CaDiCaL version: 2.1.3
% 2.92/0.98 % (770459)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.98 % (770459)Time elapsed: 0.003 s
% 2.92/0.98 % (770459)Peak memory usage: 12 MB
% 2.92/0.98 % (770459)Instructions burned: 3 (million)
% 2.92/0.98 % (770461)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=854694717:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.92/0.98 % (770462)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=1425145938: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)
% 2.92/0.98 % (770459)------------------------------
% 2.92/0.98 % (770459)------------------------------
% 2.92/0.98 % (770455)Instruction limit reached!
% 2.92/0.98 % (770455)------------------------------
% 2.92/0.98 % (770455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.98 % (770455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.98 % (770455)CaDiCaL version: 2.1.3
% 2.92/0.98 % (770455)Termination reason: Instruction limit
% 2.92/0.98 % (770455)Termination phase: Saturation
% 2.92/0.98 % (770455)Time elapsed: 0.020 s
% 2.92/0.98 % (770455)Peak memory usage: 12 MB
% 2.92/0.98 % (770455)Instructions burned: 23 (million)
% 2.92/0.98 % (770442)Instruction limit reached!
% 2.92/0.98 % (770442)------------------------------
% 2.92/0.98 % (770442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.98 % (770442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.98 % (770442)CaDiCaL version: 2.1.3
% 2.92/0.98 % (770442)Termination reason: Instruction limit
% 2.92/0.98 % (770442)Termination phase: Saturation
% 2.92/0.98 % (770442)Time elapsed: 0.092 s
% 2.92/0.98 % (770442)Peak memory usage: 12 MB
% 2.92/0.98 % (770442)Instructions burned: 143 (million)
% 2.92/0.98 % (770465)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=1481784948:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.92/0.98 % (770468)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=748212757:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.92/0.98 % (770468)Refutation not found, incomplete strategy
% 2.92/0.98 % (770468)------------------------------
% 2.92/0.98 % (770468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.98 % (770468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.98 % (770468)CaDiCaL version: 2.1.3
% 2.92/0.98 % (770468)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.98 % (770468)Time elapsed: 0.002 s
% 2.92/0.98 % (770468)Peak memory usage: 12 MB
% 2.92/0.98 % (770468)Instructions burned: 1 (million)
% 2.92/0.98 % (770468)------------------------------
% 2.92/0.98 % (770468)------------------------------
% 2.92/0.98 % (770470)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.92/0.98 % (770469)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3760517209:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 2.92/0.98 % (770470)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=106010759:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 2.92/0.98 % (770469)Instruction limit reached!
% 2.92/0.98 % (770469)------------------------------
% 2.92/0.98 % (770469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.98 % (770469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (770469)CaDiCaL version: 2.1.3
% 2.92/1.04 % (770469)Termination reason: Instruction limit
% 2.92/1.04 % (770469)Termination phase: Saturation
% 2.92/1.04 % (770469)Time elapsed: 0.019 s
% 2.92/1.04 % (770469)Peak memory usage: 12 MB
% 2.92/1.04 % (770469)Instructions burned: 21 (million)
% 2.92/1.04 % (770473)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3718773936:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.92/1.04 % (770465)Instruction limit reached!
% 2.92/1.04 % (770465)------------------------------
% 2.92/1.04 % (770465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (770465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (770465)CaDiCaL version: 2.1.3
% 2.92/1.04 % (770465)Termination reason: Instruction limit
% 2.92/1.04 % (770465)Termination phase: Saturation
% 2.92/1.04 % (770465)Time elapsed: 0.042 s
% 2.92/1.04 % (770465)Peak memory usage: 12 MB
% 2.92/1.04 % (770465)Instructions burned: 46 (million)
% 2.92/1.04 % (770473)Instruction limit reached!
% 2.92/1.04 % (770473)------------------------------
% 2.92/1.04 % (770473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (770473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (770473)CaDiCaL version: 2.1.3
% 2.92/1.04 % (770473)Termination reason: Instruction limit
% 2.92/1.04 % (770473)Termination phase: Saturation
% 2.92/1.04 % (770473)Time elapsed: 0.014 s
% 2.92/1.04 % (770473)Peak memory usage: 12 MB
% 2.92/1.04 % (770473)Instructions burned: 14 (million)
% 2.92/1.04 % (770476)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=3285013696:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.92/1.04 % (770478)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4145429278:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.92/1.04 % (770478)Refutation not found, incomplete strategy
% 2.92/1.04 % (770478)------------------------------
% 2.92/1.04 % (770478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (770478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (770478)CaDiCaL version: 2.1.3
% 2.92/1.04 % (770478)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.04 % (770478)Time elapsed: 0.003 s
% 2.92/1.04 % (770478)Peak memory usage: 12 MB
% 2.92/1.04 % (770478)Instructions burned: 2 (million)
% 2.92/1.04 % (770478)------------------------------
% 2.92/1.04 % (770478)------------------------------
% 2.92/1.04 % (770479)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4270499046:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.92/1.04 % (770482)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=636481648:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 2.92/1.04 % (770476)Instruction limit reached!
% 2.92/1.04 % (770476)------------------------------
% 2.92/1.04 % (770476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (770476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (770476)CaDiCaL version: 2.1.3
% 2.92/1.04 % (770476)Termination reason: Instruction limit
% 2.92/1.04 % (770476)Termination phase: Saturation
% 2.92/1.04 % (770476)Time elapsed: 0.050 s
% 2.92/1.04 % (770476)Peak memory usage: 12 MB
% 2.92/1.04 % (770476)Instructions burned: 66 (million)
% 2.92/1.04 % (770479)Instruction limit reached!
% 2.92/1.04 % (770479)------------------------------
% 2.92/1.04 % (770479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (770479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (770479)CaDiCaL version: 2.1.3
% 2.92/1.04 % (770479)Termination reason: Instruction limit
% 2.92/1.04 % (770479)Termination phase: Saturation
% 2.92/1.04 % (770479)Time elapsed: 0.033 s
% 2.92/1.04 % (770479)Peak memory usage: 12 MB
% 2.92/1.04 % (770479)Instructions burned: 31 (million)
% 2.92/1.04 % (770485)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=2672597321:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 2.92/1.04 % (770486)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1498475747:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.02/1.11 % (770470)Instruction limit reached!
% 5.02/1.11 % (770470)------------------------------
% 5.02/1.11 % (770470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.11 % (770470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.11 % (770470)CaDiCaL version: 2.1.3
% 5.02/1.11 % (770470)Termination reason: Instruction limit
% 5.02/1.11 % (770470)Termination phase: Saturation
% 5.02/1.11 % (770470)Time elapsed: 0.138 s
% 5.02/1.11 % (770470)Peak memory usage: 12 MB
% 5.02/1.11 % (770470)Instructions burned: 200 (million)
% 5.02/1.11 % (770486)Refutation not found, incomplete strategy
% 5.02/1.11 % (770486)------------------------------
% 5.02/1.11 % (770486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.11 % (770486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.11 % (770486)CaDiCaL version: 2.1.3
% 5.02/1.11 % (770486)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.11 % (770486)Time elapsed: 0.003 s
% 5.02/1.11 % (770486)Peak memory usage: 12 MB
% 5.02/1.11 % (770486)Instructions burned: 2 (million)
% 5.02/1.11 % (770486)------------------------------
% 5.02/1.11 % (770486)------------------------------
% 5.02/1.11 % (770485)Instruction limit reached!
% 5.02/1.11 % (770485)------------------------------
% 5.02/1.11 % (770485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.11 % (770485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.11 % (770485)CaDiCaL version: 2.1.3
% 5.02/1.11 % (770485)Termination reason: Instruction limit
% 5.02/1.11 % (770485)Termination phase: Saturation
% 5.02/1.11 % (770485)Time elapsed: 0.031 s
% 5.02/1.11 % (770485)Peak memory usage: 12 MB
% 5.02/1.11 % (770485)Instructions burned: 34 (million)
% 5.02/1.11 % (770489)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.02/1.11 % (770489)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3554262160:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.02/1.11 % (770490)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3852558049:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.02/1.11 % (770490)Refutation not found, incomplete strategy
% 5.02/1.11 % (770490)------------------------------
% 5.02/1.11 % (770490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.11 % (770490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.11 % (770490)CaDiCaL version: 2.1.3
% 5.02/1.11 % (770490)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.11 % (770490)Time elapsed: 0.001 s
% 5.02/1.11 % (770490)Peak memory usage: 12 MB
% 5.02/1.11 % (770490)Instructions burned: 1 (million)
% 5.02/1.11 % (770490)------------------------------
% 5.02/1.11 % (770490)------------------------------
% 5.02/1.11 % (770491)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1776257235:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.02/1.11 % (770461)Instruction limit reached!
% 5.02/1.11 % (770461)------------------------------
% 5.02/1.11 % (770461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.11 % (770461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.11 % (770461)CaDiCaL version: 2.1.3
% 5.02/1.11 % (770461)Termination reason: Instruction limit
% 5.02/1.11 % (770461)Termination phase: Saturation
% 5.02/1.11 % (770461)Time elapsed: 0.247 s
% 5.02/1.11 % (770461)Peak memory usage: 13 MB
% 5.02/1.11 % (770461)Instructions burned: 316 (million)
% 5.02/1.11 % (770482)Instruction limit reached!
% 5.02/1.11 % (770482)------------------------------
% 5.02/1.11 % (770482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.11 % (770482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.11 % (770482)CaDiCaL version: 2.1.3
% 5.02/1.11 % (770482)Termination reason: Instruction limit
% 5.02/1.11 % (770482)Termination phase: Saturation
% 5.02/1.11 % (770482)Time elapsed: 0.116 s
% 5.02/1.11 % (770482)Peak memory usage: 12 MB
% 5.02/1.11 % (770482)Instructions burned: 137 (million)
% 5.02/1.11 % (770494)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4254285166:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.02/1.19 % (770494)Refutation not found, incomplete strategy
% 5.02/1.19 % (770494)------------------------------
% 5.02/1.19 % (770494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.19 % (770494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.19 % (770494)CaDiCaL version: 2.1.3
% 5.02/1.19 % (770494)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.19 % (770494)Time elapsed: 0.002 s
% 5.02/1.19 % (770494)Peak memory usage: 11 MB
% 5.02/1.19 % (770494)Instructions burned: 1 (million)
% 5.02/1.19 % (770494)------------------------------
% 5.02/1.19 % (770494)------------------------------
% 5.02/1.19 % (770496)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1175570605:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.02/1.19 % (770496)Refutation not found, incomplete strategy
% 5.02/1.19 % (770496)------------------------------
% 5.02/1.19 % (770496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.19 % (770496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.19 % (770496)CaDiCaL version: 2.1.3
% 5.02/1.19 % (770496)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.19 % (770496)Time elapsed: 0.001 s
% 5.02/1.19 % (770496)Peak memory usage: 11 MB
% 5.02/1.19 % (770496)Instructions burned: 1 (million)
% 5.02/1.19 % (770496)------------------------------
% 5.02/1.19 % (770496)------------------------------
% 5.02/1.19 % (770440)Instruction limit reached!
% 5.02/1.19 % (770440)------------------------------
% 5.02/1.19 % (770440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.19 % (770440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.19 % (770440)CaDiCaL version: 2.1.3
% 5.02/1.19 % (770440)Termination reason: Instruction limit
% 5.02/1.19 % (770440)Termination phase: Saturation
% 5.02/1.19 % (770440)Time elapsed: 0.381 s
% 5.02/1.19 % (770440)Peak memory usage: 13 MB
% 5.02/1.19 % (770440)Instructions burned: 1241 (million)
% 5.02/1.19 % (770497)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1695963200:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 5.02/1.19 % (770497)Refutation not found, incomplete strategy
% 5.02/1.19 % (770497)------------------------------
% 5.02/1.19 % (770497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.19 % (770497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.19 % (770497)CaDiCaL version: 2.1.3
% 5.02/1.19 % (770497)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.19 % (770497)Time elapsed: 0.002 s
% 5.02/1.19 % (770497)Peak memory usage: 12 MB
% 5.02/1.19 % (770497)Instructions burned: 1 (million)
% 5.02/1.19 % (770497)------------------------------
% 5.02/1.19 % (770497)------------------------------
% 5.02/1.19 % (770502)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3506987986:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.02/1.19 % (770502)Refutation not found, incomplete strategy
% 5.02/1.19 % (770502)------------------------------
% 5.02/1.19 % (770502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.19 % (770502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.19 % (770502)CaDiCaL version: 2.1.3
% 5.02/1.19 % (770502)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.19 % (770502)Time elapsed: 0.001 s
% 5.02/1.19 % (770502)Peak memory usage: 12 MB
% 5.02/1.19 % (770502)Instructions burned: 1 (million)
% 5.02/1.19 % (770502)------------------------------
% 5.02/1.19 % (770502)------------------------------
% 5.02/1.19 % (770501)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1901623869:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.02/1.19 % (770499)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=757925516:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 5.02/1.19 % (770491)Instruction limit reached!
% 5.02/1.19 % (770491)------------------------------
% 5.02/1.19 % (770491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.19 % (770491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.19 % (770491)CaDiCaL version: 2.1.3
% 5.02/1.19 % (770491)Termination reason: Instruction limit
% 5.02/1.19 % (770491)Termination phase: Saturation
% 5.60/1.28 % (770491)Time elapsed: 0.076 s
% 5.60/1.28 % (770491)Peak memory usage: 12 MB
% 5.60/1.28 % (770491)Instructions burned: 96 (million)
% 5.60/1.28 % (770499)Refutation not found, incomplete strategy
% 5.60/1.28 % (770499)------------------------------
% 5.60/1.28 % (770499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.28 % (770499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.28 % (770499)CaDiCaL version: 2.1.3
% 5.60/1.28 % (770499)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.28 % (770499)Time elapsed: 0.005 s
% 5.60/1.28 % (770499)Peak memory usage: 11 MB
% 5.60/1.28 % (770499)Instructions burned: 1 (million)
% 5.60/1.28 % (770506)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3207876444:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 5.60/1.28 % (770499)------------------------------
% 5.60/1.28 % (770499)------------------------------
% 5.60/1.28 % (770504)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=196719029:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.60/1.28 % (770509)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=2757236029:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 5.60/1.28 % (770501)Instruction limit reached!
% 5.60/1.28 % (770501)------------------------------
% 5.60/1.28 % (770501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.28 % (770501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.28 % (770501)CaDiCaL version: 2.1.3
% 5.60/1.28 % (770501)Termination reason: Instruction limit
% 5.60/1.28 % (770501)Termination phase: Saturation
% 5.60/1.28 % (770501)Time elapsed: 0.035 s
% 5.60/1.28 % (770501)Peak memory usage: 12 MB
% 5.60/1.28 % (770501)Instructions burned: 44 (million)
% 5.60/1.28 % (770506)Instruction limit reached!
% 5.60/1.28 % (770506)------------------------------
% 5.60/1.28 % (770506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.28 % (770506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.28 % (770506)CaDiCaL version: 2.1.3
% 5.60/1.28 % (770506)Termination reason: Instruction limit
% 5.60/1.28 % (770506)Termination phase: Saturation
% 5.60/1.28 % (770506)Time elapsed: 0.037 s
% 5.60/1.28 % (770506)Peak memory usage: 12 MB
% 5.60/1.28 % (770506)Instructions burned: 97 (million)
% 5.60/1.28 % (770489)Instruction limit reached!
% 5.60/1.28 % (770489)------------------------------
% 5.60/1.28 % (770489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.28 % (770489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.28 % (770489)CaDiCaL version: 2.1.3
% 5.60/1.28 % (770489)Termination reason: Instruction limit
% 5.60/1.28 % (770489)Termination phase: Saturation
% 5.60/1.28 % (770489)Time elapsed: 0.139 s
% 5.60/1.28 % (770489)Peak memory usage: 12 MB
% 5.60/1.28 % (770489)Instructions burned: 180 (million)
% 5.60/1.28 % (770512)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=1620592704: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_2992 on theBenchmark for (2992ds/105Mi)
% 5.60/1.28 % (770514)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=710344028:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 5.60/1.28 % (770514)Refutation not found, incomplete strategy
% 5.60/1.28 % (770514)------------------------------
% 5.60/1.28 % (770514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.28 % (770514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.28 % (770514)CaDiCaL version: 2.1.3
% 5.60/1.28 % (770514)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.28 % (770514)Time elapsed: 0.002 s
% 5.60/1.28 % (770514)Peak memory usage: 12 MB
% 5.60/1.28 % (770514)Instructions burned: 1 (million)
% 5.60/1.28 % (770514)------------------------------
% 5.60/1.28 % (770514)------------------------------
% 5.60/1.28 % (770516)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3731375648:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 6.21/1.42 % (770509)Instruction limit reached!
% 6.21/1.42 % (770509)------------------------------
% 6.21/1.42 % (770509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.42 % (770509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.42 % (770509)CaDiCaL version: 2.1.3
% 6.21/1.42 % (770509)Termination reason: Instruction limit
% 6.21/1.42 % (770509)Termination phase: Saturation
% 6.21/1.42 % (770509)Time elapsed: 0.050 s
% 6.21/1.42 % (770509)Peak memory usage: 12 MB
% 6.21/1.42 % (770509)Instructions burned: 66 (million)
% 6.21/1.42 % (770515)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=263917507:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 6.21/1.42 % (770515)Refutation not found, incomplete strategy
% 6.21/1.42 % (770515)------------------------------
% 6.21/1.42 % (770515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.42 % (770515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.42 % (770515)CaDiCaL version: 2.1.3
% 6.21/1.42 % (770515)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.42 % (770515)Time elapsed: 0.001 s
% 6.21/1.42 % (770515)Peak memory usage: 11 MB
% 6.21/1.42 % (770515)------------------------------
% 6.21/1.42 % (770515)------------------------------
% 6.21/1.42 % (770519)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=3151567511:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.21/1.42 % (770522)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4268677105:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.21/1.42 % (770523)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1583642993:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2991 on theBenchmark for (2991ds/66Mi)
% 6.21/1.42 % (770523)Refutation not found, incomplete strategy
% 6.21/1.42 % (770523)------------------------------
% 6.21/1.42 % (770523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.42 % (770523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.42 % (770523)CaDiCaL version: 2.1.3
% 6.21/1.42 % (770523)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.42 % (770523)Time elapsed: 0.001 s
% 6.21/1.42 % (770523)Peak memory usage: 11 MB
% 6.21/1.42 % (770523)------------------------------
% 6.21/1.42 % (770523)------------------------------
% 6.21/1.42 % (770519)Instruction limit reached!
% 6.21/1.42 % (770519)------------------------------
% 6.21/1.42 % (770519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.42 % (770519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.42 % (770519)CaDiCaL version: 2.1.3
% 6.21/1.42 % (770519)Termination reason: Instruction limit
% 6.21/1.42 % (770519)Termination phase: Saturation
% 6.21/1.42 % (770519)Time elapsed: 0.031 s
% 6.21/1.42 % (770519)Peak memory usage: 12 MB
% 6.21/1.42 % (770519)Instructions burned: 35 (million)
% 6.21/1.42 % (770522)Instruction limit reached!
% 6.21/1.42 % (770522)------------------------------
% 6.21/1.42 % (770522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.42 % (770522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.42 % (770522)CaDiCaL version: 2.1.3
% 6.21/1.42 % (770522)Termination reason: Instruction limit
% 6.21/1.42 % (770522)Termination phase: Saturation
% 6.21/1.42 % (770522)Time elapsed: 0.036 s
% 6.21/1.42 % (770522)Peak memory usage: 12 MB
% 6.21/1.42 % (770522)Instructions burned: 92 (million)
% 6.21/1.42 % (770512)Instruction limit reached!
% 6.21/1.42 % (770512)------------------------------
% 6.21/1.42 % (770512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.42 % (770512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.42 % (770512)CaDiCaL version: 2.1.3
% 6.21/1.42 % (770512)Termination reason: Instruction limit
% 6.21/1.42 % (770512)Termination phase: Saturation
% 6.21/1.42 % (770512)Time elapsed: 0.098 s
% 6.21/1.42 % (770512)Peak memory usage: 12 MB
% 6.21/1.42 % (770512)Instructions burned: 105 (million)
% 6.21/1.42 % (770529)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1350065676:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 7.37/1.52 % (770529)Refutation not found, incomplete strategy
% 7.37/1.52 % (770529)------------------------------
% 7.37/1.52 % (770529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.52 % (770529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.52 % (770529)CaDiCaL version: 2.1.3
% 7.37/1.52 % (770529)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.52 % (770529)Time elapsed: 0.001 s
% 7.37/1.52 % (770529)Peak memory usage: 11 MB
% 7.37/1.52 % (770529)Instructions burned: 1 (million)
% 7.37/1.52 % (770462)Instruction limit reached!
% 7.37/1.52 % (770462)------------------------------
% 7.37/1.52 % (770462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.52 % (770462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.52 % (770462)CaDiCaL version: 2.1.3
% 7.37/1.52 % (770462)Termination reason: Instruction limit
% 7.37/1.52 % (770462)Termination phase: Saturation
% 7.37/1.52 % (770462)Time elapsed: 0.471 s
% 7.37/1.52 % (770462)Peak memory usage: 13 MB
% 7.37/1.52 % (770462)Instructions burned: 855 (million)
% 7.37/1.52 % (770527)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4070338717:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 7.37/1.52 % (770529)------------------------------
% 7.37/1.52 % (770529)------------------------------
% 7.37/1.52 % (770528)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=472295052:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 7.37/1.52 % (770527)Instruction limit reached!
% 7.37/1.52 % (770527)------------------------------
% 7.37/1.52 % (770527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.52 % (770527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.52 % (770527)CaDiCaL version: 2.1.3
% 7.37/1.52 % (770527)Termination reason: Instruction limit
% 7.37/1.52 % (770527)Termination phase: Saturation
% 7.37/1.52 % (770527)Time elapsed: 0.019 s
% 7.37/1.52 % (770527)Peak memory usage: 12 MB
% 7.37/1.52 % (770527)Instructions burned: 22 (million)
% 7.37/1.52 % (770534)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=4254264811:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 7.37/1.52 % (770534)Refutation not found, incomplete strategy
% 7.37/1.52 % (770534)------------------------------
% 7.37/1.52 % (770534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.52 % (770534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.52 % (770534)CaDiCaL version: 2.1.3
% 7.37/1.52 % (770534)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.52 % (770534)Time elapsed: 0.0000 s
% 7.37/1.52 % (770534)Peak memory usage: 11 MB
% 7.37/1.52 % (770534)------------------------------
% 7.37/1.52 % (770534)------------------------------
% 7.37/1.52 % (770531)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.37/1.52 % (770531)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1809336558: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)
% 7.37/1.52 % (770533)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=3922341451:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 7.37/1.52 % (770538)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3198686954:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 7.37/1.52 % (770537)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.37/1.52 % (770537)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2419795544:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 7.37/1.52 % (770538)Instruction limit reached!
% 7.37/1.52 % (770538)------------------------------
% 7.37/1.52 % (770538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.57 % (770538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.57 % (770538)CaDiCaL version: 2.1.3
% 7.37/1.57 % (770538)Termination reason: Instruction limit
% 7.37/1.57 % (770538)Termination phase: Saturation
% 7.37/1.57 % (770538)Time elapsed: 0.041 s
% 7.37/1.57 % (770538)Peak memory usage: 12 MB
% 7.37/1.57 % (770538)Instructions burned: 117 (million)
% 7.37/1.57 % (770543)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4197858309:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.37/1.57 % (770543)Refutation not found, incomplete strategy
% 7.37/1.57 % (770543)------------------------------
% 7.37/1.57 % (770543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.57 % (770543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.57 % (770543)CaDiCaL version: 2.1.3
% 7.37/1.57 % (770543)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.57 % (770543)Time elapsed: 0.001 s
% 7.37/1.57 % (770543)Peak memory usage: 12 MB
% 7.37/1.57 % (770543)Instructions burned: 2 (million)
% 7.37/1.57 % (770543)------------------------------
% 7.37/1.57 % (770543)------------------------------
% 7.37/1.57 % (770504)Instruction limit reached!
% 7.37/1.57 % (770504)------------------------------
% 7.37/1.57 % (770504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.57 % (770504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.57 % (770504)CaDiCaL version: 2.1.3
% 7.37/1.57 % (770504)Termination reason: Instruction limit
% 7.37/1.57 % (770504)Termination phase: Saturation
% 7.37/1.57 % (770504)Time elapsed: 0.256 s
% 7.37/1.57 % (770504)Peak memory usage: 12 MB
% 7.37/1.57 % (770504)Instructions burned: 450 (million)
% 7.37/1.57 % (770545)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2566631464: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)
% 7.37/1.57 % (770531)Instruction limit reached!
% 7.37/1.57 % (770531)------------------------------
% 7.37/1.57 % (770531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.57 % (770531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.57 % (770531)CaDiCaL version: 2.1.3
% 7.37/1.57 % (770531)Termination reason: Instruction limit
% 7.37/1.57 % (770531)Termination phase: Saturation
% 7.37/1.57 % (770531)Time elapsed: 0.093 s
% 7.37/1.57 % (770531)Peak memory usage: 12 MB
% 7.37/1.57 % (770531)Instructions burned: 139 (million)
% 7.37/1.57 % (770546)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=1848113233: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)
% 7.37/1.57 % (770548)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1935383325:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.37/1.57 % (770548)Refutation not found, incomplete strategy
% 7.37/1.57 % (770548)------------------------------
% 7.37/1.57 % (770548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.57 % (770548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.57 % (770548)CaDiCaL version: 2.1.3
% 7.37/1.57 % (770548)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.57 % (770548)Time elapsed: 0.001 s
% 7.37/1.57 % (770548)Peak memory usage: 11 MB
% 7.37/1.57 % (770548)Instructions burned: 1 (million)
% 7.37/1.57 % (770548)------------------------------
% 7.37/1.57 % (770548)------------------------------
% 7.37/1.57 % (770551)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
% 7.37/1.57 % (770551)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=1983133784:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.37/1.57 % (770545)Instruction limit reached!
% 7.37/1.57 % (770545)------------------------------
% 7.37/1.57 % (770545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.57 % (770545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.64 % (770545)CaDiCaL version: 2.1.3
% 8.14/1.64 % (770545)Termination reason: Instruction limit
% 8.14/1.64 % (770545)Termination phase: Saturation
% 8.14/1.64 % (770545)Time elapsed: 0.111 s
% 8.14/1.64 % (770545)Peak memory usage: 12 MB
% 8.14/1.64 % (770545)Instructions burned: 272 (million)
% 8.14/1.64 % (770553)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3632517467:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 8.14/1.64 % (770553)Instruction limit reached!
% 8.14/1.64 % (770553)------------------------------
% 8.14/1.64 % (770553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.64 % (770553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.64 % (770553)CaDiCaL version: 2.1.3
% 8.14/1.64 % (770553)Termination reason: Instruction limit
% 8.14/1.64 % (770553)Termination phase: Saturation
% 8.14/1.64 % (770553)Time elapsed: 0.015 s
% 8.14/1.64 % (770553)Peak memory usage: 12 MB
% 8.14/1.64 % (770553)Instructions burned: 33 (million)
% 8.14/1.64 % (770528)Instruction limit reached!
% 8.14/1.64 % (770528)------------------------------
% 8.14/1.64 % (770528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.64 % (770528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.64 % (770528)CaDiCaL version: 2.1.3
% 8.14/1.64 % (770528)Termination reason: Instruction limit
% 8.14/1.64 % (770528)Termination phase: Saturation
% 8.14/1.64 % (770528)Time elapsed: 0.259 s
% 8.14/1.64 % (770528)Peak memory usage: 14 MB
% 8.14/1.64 % (770528)Instructions burned: 338 (million)
% 8.14/1.64 % (770555)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.14/1.64 % (770555)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
% 8.14/1.64 % (770555)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=3277105203:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 8.14/1.64 % (770533)Instruction limit reached!
% 8.14/1.64 % (770533)------------------------------
% 8.14/1.64 % (770533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.64 % (770533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.64 % (770533)CaDiCaL version: 2.1.3
% 8.14/1.64 % (770533)Termination reason: Instruction limit
% 8.14/1.64 % (770533)Termination phase: Saturation
% 8.14/1.64 % (770533)Time elapsed: 0.261 s
% 8.14/1.64 % (770533)Peak memory usage: 13 MB
% 8.14/1.64 % (770533)Instructions burned: 340 (million)
% 8.14/1.64 % (770516)Instruction limit reached!
% 8.14/1.64 % (770516)------------------------------
% 8.14/1.64 % (770516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.64 % (770516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.64 % (770516)CaDiCaL version: 2.1.3
% 8.14/1.64 % (770516)Termination reason: Instruction limit
% 8.14/1.64 % (770516)Termination phase: Saturation
% 8.14/1.64 % (770516)Time elapsed: 0.374 s
% 8.14/1.64 % (770516)Peak memory usage: 13 MB
% 8.14/1.64 % (770516)Instructions burned: 495 (million)
% 8.14/1.64 % (770556)dis+10_2_sil=128000:si=on:random_seed=513142111:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 8.14/1.64 % (770556)Refutation not found, incomplete strategy
% 8.14/1.64 % (770556)------------------------------
% 8.14/1.64 % (770556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.64 % (770556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.64 % (770556)CaDiCaL version: 2.1.3
% 8.14/1.64 % (770556)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.64 % (770556)Time elapsed: 0.001 s
% 8.14/1.64 % (770556)Peak memory usage: 11 MB
% 8.14/1.64 % (770556)Instructions burned: 1 (million)
% 8.14/1.64 % (770556)------------------------------
% 8.14/1.64 % (770556)------------------------------
% 8.14/1.64 % (770558)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2398050929:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.14/1.64 % (770559)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=3487612025: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)
% 8.65/1.83 % (770559)Refutation not found, incomplete strategy
% 8.65/1.83 % (770559)------------------------------
% 8.65/1.83 % (770559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/1.83 % (770559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/1.83 % (770559)CaDiCaL version: 2.1.3
% 8.65/1.83 % (770559)Termination reason: Refutation not found, incomplete strategy
% 8.65/1.83 % (770559)Time elapsed: 0.001 s
% 8.65/1.83 % (770559)Peak memory usage: 11 MB
% 8.65/1.83 % (770559)Instructions burned: 1 (million)
% 8.65/1.83 % (770559)------------------------------
% 8.65/1.83 % (770559)------------------------------
% 8.65/1.83 % (770561)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=4076513378:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.65/1.83 % (770561)Refutation not found, incomplete strategy
% 8.65/1.83 % (770561)------------------------------
% 8.65/1.84 % (770561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/1.84 % (770561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/1.84 % (770561)CaDiCaL version: 2.1.3
% 8.65/1.84 % (770561)Termination reason: Refutation not found, incomplete strategy
% 8.65/1.84 % (770561)Time elapsed: 0.002 s
% 8.65/1.84 % (770561)Peak memory usage: 12 MB
% 8.65/1.84 % (770561)Instructions burned: 2 (million)
% 8.65/1.84 % (770561)------------------------------
% 8.65/1.84 % (770561)------------------------------
% 8.65/1.84 % (770551)Instruction limit reached!
% 8.65/1.84 % (770551)------------------------------
% 8.65/1.84 % (770551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/1.84 % (770551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/1.84 % (770551)CaDiCaL version: 2.1.3
% 8.65/1.84 % (770551)Termination reason: Instruction limit
% 8.65/1.84 % (770551)Termination phase: Saturation
% 8.65/1.84 % (770551)Time elapsed: 0.166 s
% 8.65/1.84 % (770551)Peak memory usage: 12 MB
% 8.65/1.84 % (770551)Instructions burned: 270 (million)
% 8.65/1.84 % (770564)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=883552785:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 8.65/1.84 % (770537)Instruction limit reached!
% 8.65/1.84 % (770537)------------------------------
% 8.65/1.84 % (770537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/1.84 % (770537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/1.84 % (770537)CaDiCaL version: 2.1.3
% 8.65/1.84 % (770537)Termination reason: Instruction limit
% 8.65/1.84 % (770537)Termination phase: Saturation
% 8.65/1.84 % (770537)Time elapsed: 0.310 s
% 8.65/1.84 % (770537)Peak memory usage: 12 MB
% 8.65/1.84 % (770537)Instructions burned: 373 (million)
% 8.65/1.84 % (770564)Refutation not found, incomplete strategy
% 8.65/1.84 % (770564)------------------------------
% 8.65/1.84 % (770564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/1.84 % (770564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/1.84 % (770564)CaDiCaL version: 2.1.3
% 8.65/1.84 % (770564)Termination reason: Refutation not found, incomplete strategy
% 8.65/1.84 % (770564)Time elapsed: 0.001 s
% 8.65/1.84 % (770564)Peak memory usage: 11 MB
% 8.65/1.84 % (770564)------------------------------
% 8.65/1.84 % (770564)------------------------------
% 8.65/1.84 % (770566)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=2563106795:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 8.65/1.84 % (770566)Refutation not found, incomplete strategy
% 8.65/1.84 % (770566)------------------------------
% 8.65/1.84 % (770566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/1.84 % (770566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/1.84 % (770566)CaDiCaL version: 2.1.3
% 8.65/1.84 % (770566)Termination reason: Refutation not found, incomplete strategy
% 8.65/1.84 % (770566)Time elapsed: 0.003 s
% 8.65/1.84 % (770566)Peak memory usage: 11 MB
% 8.65/1.84 % (770566)Instructions burned: 3 (million)
% 8.65/1.84 % (770566)------------------------------
% 8.65/1.84 % (770566)------------------------------
% 9.73/1.95 % (770567)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.73/1.95 % (770567)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=4159870538:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 9.73/1.95 % (770569)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3231099049:i=619:add=on:rtra=on_2987 on theBenchmark for (2987ds/619Mi)
% 9.73/1.95 % (770570)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=1272741786:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/865Mi)
% 9.73/1.95 % (770569)Refutation not found, incomplete strategy
% 9.73/1.95 % (770569)------------------------------
% 9.73/1.95 % (770569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.73/1.95 % (770569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/1.95 % (770569)CaDiCaL version: 2.1.3
% 9.73/1.95 % (770569)Termination reason: Refutation not found, incomplete strategy
% 9.73/1.95 % (770569)Time elapsed: 0.003 s
% 9.73/1.95 % (770569)Peak memory usage: 12 MB
% 9.73/1.95 % (770569)Instructions burned: 3 (million)
% 9.73/1.95 % (770569)------------------------------
% 9.73/1.95 % (770569)------------------------------
% 9.73/1.95 % (770572)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3392433251:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 9.73/1.95 % (770572)Refutation not found, incomplete strategy
% 9.73/1.95 % (770572)------------------------------
% 9.73/1.95 % (770572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.73/1.95 % (770572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/1.95 % (770572)CaDiCaL version: 2.1.3
% 9.73/1.95 % (770572)Termination reason: Refutation not found, incomplete strategy
% 9.73/1.95 % (770572)Time elapsed: 0.001 s
% 9.73/1.95 % (770572)Peak memory usage: 11 MB
% 9.73/1.95 % (770572)Instructions burned: 1 (million)
% 9.73/1.95 % (770572)------------------------------
% 9.73/1.95 % (770572)------------------------------
% 9.73/1.95 % (770558)Instruction limit reached!
% 9.73/1.95 % (770558)------------------------------
% 9.73/1.95 % (770558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.73/1.95 % (770558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/1.95 % (770558)CaDiCaL version: 2.1.3
% 9.73/1.95 % (770558)Termination reason: Instruction limit
% 9.73/1.95 % (770558)Termination phase: Saturation
% 9.73/1.95 % (770558)Time elapsed: 0.089 s
% 9.73/1.95 % (770558)Peak memory usage: 12 MB
% 9.73/1.95 % (770558)Instructions burned: 111 (million)
% 9.73/1.95 % (770576)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2411630596:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.73/1.95 % (770576)Refutation not found, incomplete strategy
% 9.73/1.95 % (770576)------------------------------
% 9.73/1.95 % (770576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.73/1.95 % (770576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/1.95 % (770576)CaDiCaL version: 2.1.3
% 9.73/1.95 % (770576)Termination reason: Refutation not found, incomplete strategy
% 9.73/1.95 % (770576)Time elapsed: 0.001 s
% 9.73/1.95 % (770576)Peak memory usage: 11 MB
% 9.73/1.95 % (770576)Instructions burned: 1 (million)
% 9.73/1.95 % (770576)------------------------------
% 9.73/1.95 % (770576)------------------------------
% 9.73/1.95 % (770578)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2181245628:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.73/1.95 % (770578)Refutation not found, incomplete strategy
% 9.73/1.95 % (770578)------------------------------
% 9.73/1.95 % (770578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.73/1.95 % (770578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/1.95 % (770578)CaDiCaL version: 2.1.3
% 9.73/1.95 % (770578)Termination reason: Refutation not found, incomplete strategy
% 9.73/1.95 % (770578)Time elapsed: 0.002 s
% 9.73/1.95 % (770578)Peak memory usage: 11 MB
% 9.73/1.95 % (770578)Instructions burned: 1 (million)
% 9.73/1.95 % (770578)------------------------------
% 9.73/1.95 % (770578)------------------------------
% 12.66/2.23 % (770579)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3136797461:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 12.66/2.23 % (770581)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=116426495:i=75:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/75Mi)
% 12.66/2.23 % (770583)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2921863180:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/387Mi)
% 12.66/2.23 % (770583)Refutation not found, incomplete strategy
% 12.66/2.23 % (770583)------------------------------
% 12.66/2.23 % (770583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.23 % (770583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.23 % (770583)CaDiCaL version: 2.1.3
% 12.66/2.23 % (770583)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.23 % (770583)Time elapsed: 0.002 s
% 12.66/2.23 % (770583)Peak memory usage: 11 MB
% 12.66/2.23 % (770583)Instructions burned: 1 (million)
% 12.66/2.23 % (770583)------------------------------
% 12.66/2.23 % (770583)------------------------------
% 12.66/2.23 % (770587)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=553407098:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2986 on theBenchmark for (2986ds/148Mi)
% 12.66/2.23 % (770581)Instruction limit reached!
% 12.66/2.23 % (770581)------------------------------
% 12.66/2.23 % (770581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.23 % (770581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.23 % (770581)CaDiCaL version: 2.1.3
% 12.66/2.23 % (770581)Termination reason: Instruction limit
% 12.66/2.23 % (770581)Termination phase: Saturation
% 12.66/2.23 % (770581)Time elapsed: 0.057 s
% 12.66/2.23 % (770581)Peak memory usage: 12 MB
% 12.66/2.23 % (770581)Instructions burned: 75 (million)
% 12.66/2.23 % (770589)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=434833984:i=161:piset=and:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/161Mi)
% 12.66/2.23 % (770579)Instruction limit reached!
% 12.66/2.23 % (770579)------------------------------
% 12.66/2.23 % (770579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.23 % (770579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.23 % (770579)CaDiCaL version: 2.1.3
% 12.66/2.23 % (770579)Termination reason: Instruction limit
% 12.66/2.23 % (770579)Termination phase: Saturation
% 12.66/2.23 % (770579)Time elapsed: 0.124 s
% 12.66/2.23 % (770579)Peak memory usage: 12 MB
% 12.66/2.23 % (770579)Instructions burned: 153 (million)
% 12.66/2.23 % (770591)lrs+10_1_sil=128000:si=on:random_seed=3934392800:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/888Mi)
% 12.66/2.23 % (770591)Refutation not found, incomplete strategy
% 12.66/2.23 % (770591)------------------------------
% 12.66/2.23 % (770591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.23 % (770591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.23 % (770591)CaDiCaL version: 2.1.3
% 12.66/2.23 % (770591)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.23 % (770591)Time elapsed: 0.001 s
% 12.66/2.23 % (770591)Peak memory usage: 11 MB
% 12.66/2.23 % (770591)Instructions burned: 1 (million)
% 12.66/2.23 % (770591)------------------------------
% 12.66/2.23 % (770591)------------------------------
% 12.66/2.23 % (770567)Instruction limit reached!
% 12.66/2.23 % (770567)------------------------------
% 12.66/2.23 % (770567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.23 % (770567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.23 % (770567)CaDiCaL version: 2.1.3
% 12.66/2.23 % (770567)Termination reason: Instruction limit
% 12.66/2.23 % (770567)Termination phase: Saturation
% 12.66/2.23 % (770567)Time elapsed: 0.240 s
% 12.66/2.23 % (770567)Peak memory usage: 13 MB
% 12.66/2.23 % (770567)Instructions burned: 281 (million)
% 12.66/2.23 % (770593)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=3367506060:i=136:add=on:ins=4:rtra=on:sup=off_2985 on theBenchmark for (2985ds/136Mi)
% 12.66/2.23 % (770587)Instruction limit reached!
% 12.66/2.23 % (770587)------------------------------
% 12.66/2.23 % (770587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.46 % (770587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.46 % (770587)CaDiCaL version: 2.1.3
% 14.01/2.46 % (770587)Termination reason: Instruction limit
% 14.01/2.46 % (770587)Termination phase: Saturation
% 14.01/2.46 % (770587)Time elapsed: 0.124 s
% 14.01/2.46 % (770587)Peak memory usage: 12 MB
% 14.01/2.46 % (770587)Instructions burned: 148 (million)
% 14.01/2.46 % (770593)Refutation not found, incomplete strategy
% 14.01/2.46 % (770593)------------------------------
% 14.01/2.46 % (770593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.46 % (770593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.46 % (770593)CaDiCaL version: 2.1.3
% 14.01/2.46 % (770593)Termination reason: Refutation not found, incomplete strategy
% 14.01/2.46 % (770593)Time elapsed: 0.003 s
% 14.01/2.46 % (770593)Peak memory usage: 12 MB
% 14.01/2.46 % (770593)Instructions burned: 3 (million)
% 14.01/2.46 % (770593)------------------------------
% 14.01/2.46 % (770593)------------------------------
% 14.01/2.46 % (770589)Instruction limit reached!
% 14.01/2.46 % (770589)------------------------------
% 14.01/2.46 % (770589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.46 % (770589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.46 % (770589)CaDiCaL version: 2.1.3
% 14.01/2.46 % (770589)Termination reason: Instruction limit
% 14.01/2.46 % (770589)Termination phase: Saturation
% 14.01/2.46 % (770589)Time elapsed: 0.097 s
% 14.01/2.46 % (770589)Peak memory usage: 12 MB
% 14.01/2.46 % (770589)Instructions burned: 163 (million)
% 14.01/2.46 % (770594)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=2529616223:i=88:s2at=3:nm=2:rtra=on:rawr=on_2984 on theBenchmark for (2984ds/88Mi)
% 14.01/2.46 % (770596)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=283648256:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2984 on theBenchmark for (2984ds/93Mi)
% 14.01/2.46 % (770597)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3453923668:i=2186:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/2186Mi)
% 14.01/2.46 % (770598)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1895007678:s2a=on:i=240:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/240Mi)
% 14.01/2.46 % (770555)Instruction limit reached!
% 14.01/2.46 % (770555)------------------------------
% 14.01/2.46 % (770555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.46 % (770555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.46 % (770555)CaDiCaL version: 2.1.3
% 14.01/2.46 % (770555)Termination reason: Instruction limit
% 14.01/2.46 % (770555)Termination phase: Saturation
% 14.01/2.46 % (770555)Time elapsed: 0.418 s
% 14.01/2.46 % (770555)Peak memory usage: 13 MB
% 14.01/2.46 % (770555)Instructions burned: 1443 (million)
% 14.01/2.46 % (770603)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2434758764:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 14.01/2.46 % (770594)Instruction limit reached!
% 14.01/2.46 % (770594)------------------------------
% 14.01/2.46 % (770594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.46 % (770594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.46 % (770594)CaDiCaL version: 2.1.3
% 14.01/2.46 % (770594)Termination reason: Instruction limit
% 14.01/2.46 % (770594)Termination phase: Saturation
% 14.01/2.46 % (770594)Time elapsed: 0.066 s
% 14.01/2.46 % (770594)Peak memory usage: 13 MB
% 14.01/2.46 % (770594)Instructions burned: 88 (million)
% 14.01/2.46 % (770596)Instruction limit reached!
% 14.01/2.46 % (770596)------------------------------
% 14.01/2.46 % (770596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.46 % (770596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.46 % (770596)CaDiCaL version: 2.1.3
% 14.01/2.46 % (770596)Termination reason: Instruction limit
% 14.01/2.46 % (770596)Termination phase: Saturation
% 14.01/2.46 % (770596)Time elapsed: 0.081 s
% 14.01/2.46 % (770596)Peak memory usage: 12 MB
% 14.01/2.46 % (770596)Instructions burned: 93 (million)
% 14.01/2.46 % (770605)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.80/2.57 % (770605)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=446981691:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2983 on theBenchmark for (2983ds/391Mi)
% 14.80/2.57 % (770605)Refutation not found, incomplete strategy
% 14.80/2.57 % (770605)------------------------------
% 14.80/2.57 % (770605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/2.57 % (770605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/2.57 % (770605)CaDiCaL version: 2.1.3
% 14.80/2.57 % (770605)Termination reason: Refutation not found, incomplete strategy
% 14.80/2.57 % (770605)Time elapsed: 0.002 s
% 14.80/2.57 % (770605)Peak memory usage: 11 MB
% 14.80/2.57 % (770605)Instructions burned: 1 (million)
% 14.80/2.57 % (770605)------------------------------
% 14.80/2.57 % (770605)------------------------------
% 14.80/2.57 % (770606)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2711461380:i=355:av=off:fsr=off:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/355Mi)
% 14.80/2.57 % (770608)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1876176738:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.80/2.57 % (770608)Refutation not found, incomplete strategy
% 14.80/2.57 % (770608)------------------------------
% 14.80/2.57 % (770608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/2.57 % (770608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/2.57 % (770608)CaDiCaL version: 2.1.3
% 14.80/2.57 % (770608)Termination reason: Refutation not found, incomplete strategy
% 14.80/2.57 % (770608)Time elapsed: 0.001 s
% 14.80/2.57 % (770608)Peak memory usage: 11 MB
% 14.80/2.57 % (770608)Instructions burned: 1 (million)
% 14.80/2.57 % (770608)------------------------------
% 14.80/2.57 % (770608)------------------------------
% 14.80/2.57 % (770611)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1100204846:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.80/2.57 % (770598)Instruction limit reached!
% 14.80/2.57 % (770598)------------------------------
% 14.80/2.57 % (770598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/2.57 % (770598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/2.57 % (770598)CaDiCaL version: 2.1.3
% 14.80/2.57 % (770598)Termination reason: Instruction limit
% 14.80/2.57 % (770598)Termination phase: Saturation
% 14.80/2.57 % (770598)Time elapsed: 0.157 s
% 14.80/2.57 % (770598)Peak memory usage: 13 MB
% 14.80/2.57 % (770598)Instructions burned: 240 (million)
% 14.80/2.57 % (770613)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=1784534974: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_2982 on theBenchmark for (2982ds/2470Mi)
% 14.80/2.57 % (770603)Instruction limit reached!
% 14.80/2.57 % (770603)------------------------------
% 14.80/2.57 % (770603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/2.57 % (770603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/2.57 % (770603)CaDiCaL version: 2.1.3
% 14.80/2.57 % (770603)Termination reason: Instruction limit
% 14.80/2.57 % (770603)Termination phase: Saturation
% 14.80/2.57 % (770603)Time elapsed: 0.303 s
% 14.80/2.57 % (770603)Peak memory usage: 14 MB
% 14.80/2.57 % (770603)Instructions burned: 805 (million)
% 14.80/2.57 % (770611)Instruction limit reached!
% 14.80/2.57 % (770611)------------------------------
% 14.80/2.57 % (770611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/2.57 % (770611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/2.57 % (770611)CaDiCaL version: 2.1.3
% 14.80/2.57 % (770611)Termination reason: Instruction limit
% 14.80/2.57 % (770611)Termination phase: Saturation
% 14.80/2.57 % (770611)Time elapsed: 0.198 s
% 14.80/2.57 % (770611)Peak memory usage: 12 MB
% 14.80/2.57 % (770611)Instructions burned: 252 (million)
% 14.80/2.57 % (770615)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3175934220:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 14.80/2.57 % (770570)Instruction limit reached!
% 16.09/2.74 % (770570)------------------------------
% 16.09/2.74 % (770570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/2.74 % (770570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/2.74 % (770570)CaDiCaL version: 2.1.3
% 16.09/2.74 % (770570)Termination reason: Instruction limit
% 16.09/2.74 % (770570)Termination phase: Saturation
% 16.09/2.74 % (770570)Time elapsed: 0.642 s
% 16.09/2.74 % (770570)Peak memory usage: 15 MB
% 16.09/2.74 % (770570)Instructions burned: 866 (million)
% 16.09/2.74 % (770606)Instruction limit reached!
% 16.09/2.74 % (770606)------------------------------
% 16.09/2.74 % (770606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/2.74 % (770606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/2.74 % (770606)CaDiCaL version: 2.1.3
% 16.09/2.74 % (770606)Termination reason: Instruction limit
% 16.09/2.74 % (770606)Termination phase: Saturation
% 16.09/2.74 % (770606)Time elapsed: 0.270 s
% 16.09/2.74 % (770606)Peak memory usage: 12 MB
% 16.09/2.74 % (770606)Instructions burned: 356 (million)
% 16.09/2.74 % (770616)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1661973395:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 16.09/2.74 % (770618)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=546710520: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)
% 16.09/2.74 % (770619)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=403484968: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_2980 on theBenchmark for (2980ds/30Mi)
% 16.09/2.74 % (770619)Instruction limit reached!
% 16.09/2.74 % (770619)------------------------------
% 16.09/2.74 % (770619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/2.74 % (770619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/2.74 % (770619)CaDiCaL version: 2.1.3
% 16.09/2.74 % (770619)Termination reason: Instruction limit
% 16.09/2.74 % (770619)Termination phase: Saturation
% 16.09/2.74 % (770619)Time elapsed: 0.026 s
% 16.09/2.74 % (770619)Peak memory usage: 12 MB
% 16.09/2.74 % (770619)Instructions burned: 30 (million)
% 16.09/2.74 % (770616)Instruction limit reached!
% 16.09/2.74 % (770616)------------------------------
% 16.09/2.74 % (770616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/2.74 % (770616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/2.74 % (770616)CaDiCaL version: 2.1.3
% 16.09/2.74 % (770616)Termination reason: Instruction limit
% 16.09/2.74 % (770616)Termination phase: Saturation
% 16.09/2.74 % (770616)Time elapsed: 0.078 s
% 16.09/2.74 % (770616)Peak memory usage: 12 MB
% 16.09/2.74 % (770616)Instructions burned: 116 (million)
% 16.09/2.74 % (770623)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.09/2.74 % (770623)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2474830961:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2980 on theBenchmark for (2980ds/39Mi)
% 16.09/2.74 % (770624)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1528633146:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.09/2.74 % (770623)Instruction limit reached!
% 16.09/2.74 % (770623)------------------------------
% 16.09/2.74 % (770623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/2.74 % (770623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/2.74 % (770623)CaDiCaL version: 2.1.3
% 16.09/2.74 % (770623)Termination reason: Instruction limit
% 16.09/2.74 % (770623)Termination phase: Saturation
% 16.09/2.74 % (770623)Time elapsed: 0.034 s
% 16.09/2.74 % (770623)Peak memory usage: 12 MB
% 16.09/2.74 % (770623)Instructions burned: 39 (million)
% 16.09/2.74 % (770627)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2489983753:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 16.09/2.74 % (770615)Instruction limit reached!
% 16.09/2.74 % (770615)------------------------------
% 16.09/2.74 % (770615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/2.74 % (770615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/2.99 % (770615)CaDiCaL version: 2.1.3
% 17.16/2.99 % (770615)Termination reason: Instruction limit
% 17.16/2.99 % (770615)Termination phase: Saturation
% 17.16/2.99 % (770615)Time elapsed: 0.225 s
% 17.16/2.99 % (770615)Peak memory usage: 13 MB
% 17.16/2.99 % (770615)Instructions burned: 676 (million)
% 17.16/2.99 % (770629)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
% 17.16/2.99 % (770629)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=1611794750:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 17.16/2.99 % (770618)Instruction limit reached!
% 17.16/2.99 % (770618)------------------------------
% 17.16/2.99 % (770618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.16/2.99 % (770618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/2.99 % (770618)CaDiCaL version: 2.1.3
% 17.16/2.99 % (770618)Termination reason: Instruction limit
% 17.16/2.99 % (770618)Termination phase: Saturation
% 17.16/2.99 % (770618)Time elapsed: 0.210 s
% 17.16/2.99 % (770618)Peak memory usage: 12 MB
% 17.16/2.99 % (770618)Instructions burned: 270 (million)
% 17.16/2.99 % (770631)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3201963563:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 17.16/2.99 % (770631)Refutation not found, incomplete strategy
% 17.16/2.99 % (770631)------------------------------
% 17.16/2.99 % (770631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.16/2.99 % (770631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/2.99 % (770631)CaDiCaL version: 2.1.3
% 17.16/2.99 % (770631)Termination reason: Refutation not found, incomplete strategy
% 17.16/2.99 % (770631)Time elapsed: 0.001 s
% 17.16/2.99 % (770631)Peak memory usage: 11 MB
% 17.16/2.99 % (770631)Instructions burned: 1 (million)
% 17.16/2.99 % (770631)------------------------------
% 17.16/2.99 % (770631)------------------------------
% 17.16/2.99 % (770627)Instruction limit reached!
% 17.16/2.99 % (770627)------------------------------
% 17.16/2.99 % (770627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.16/2.99 % (770627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/2.99 % (770627)CaDiCaL version: 2.1.3
% 17.16/2.99 % (770627)Termination reason: Instruction limit
% 17.16/2.99 % (770627)Termination phase: Saturation
% 17.16/2.99 % (770627)Time elapsed: 0.125 s
% 17.16/2.99 % (770627)Peak memory usage: 12 MB
% 17.16/2.99 % (770627)Instructions burned: 159 (million)
% 17.16/2.99 % (770633)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=1451979306:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/160Mi)
% 17.16/2.99 % (770633)Refutation not found, incomplete strategy
% 17.16/2.99 % (770633)------------------------------
% 17.16/2.99 % (770633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.16/2.99 % (770633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/2.99 % (770633)CaDiCaL version: 2.1.3
% 17.16/2.99 % (770633)Termination reason: Refutation not found, incomplete strategy
% 17.16/2.99 % (770633)Time elapsed: 0.001 s
% 17.16/2.99 % (770633)Peak memory usage: 11 MB
% 17.16/2.99 % (770633)Instructions burned: 1 (million)
% 17.16/2.99 % (770633)------------------------------
% 17.16/2.99 % (770633)------------------------------
% 17.16/2.99 % (770629)Instruction limit reached!
% 17.16/2.99 % (770629)------------------------------
% 17.16/2.99 % (770629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.16/2.99 % (770629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/2.99 % (770629)CaDiCaL version: 2.1.3
% 17.16/2.99 % (770629)Termination reason: Instruction limit
% 17.16/2.99 % (770629)Termination phase: Saturation
% 17.16/2.99 % (770629)Time elapsed: 0.083 s
% 17.16/2.99 % (770629)Peak memory usage: 12 MB
% 17.16/2.99 % (770629)Instructions burned: 254 (million)
% 17.16/2.99 % (770634)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1406291612:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 17.16/2.99 % (770636)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 18.29/3.06 % (770637)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3839626404:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 18.29/3.06 % (770636)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=3158989206:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 18.29/3.06 % (770636)Refutation not found, incomplete strategy
% 18.29/3.06 % (770636)------------------------------
% 18.29/3.06 % (770636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.29/3.06 % (770636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.06 % (770636)CaDiCaL version: 2.1.3
% 18.29/3.06 % (770636)Termination reason: Refutation not found, incomplete strategy
% 18.29/3.06 % (770636)Time elapsed: 0.001 s
% 18.29/3.06 % (770636)Peak memory usage: 11 MB
% 18.29/3.06 % (770636)------------------------------
% 18.29/3.06 % (770636)------------------------------
% 18.29/3.06 % (770624)Instruction limit reached!
% 18.29/3.06 % (770624)------------------------------
% 18.29/3.06 % (770624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.29/3.06 % (770624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.06 % (770624)CaDiCaL version: 2.1.3
% 18.29/3.06 % (770624)Termination reason: Instruction limit
% 18.29/3.06 % (770624)Termination phase: Saturation
% 18.29/3.06 % (770624)Time elapsed: 0.219 s
% 18.29/3.06 % (770624)Peak memory usage: 12 MB
% 18.29/3.06 % (770624)Instructions burned: 366 (million)
% 18.29/3.06 % (770641)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2669026546:i=300:piset=and:nm=32:rtra=on_2977 on theBenchmark for (2977ds/300Mi)
% 18.29/3.06 % (770642)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=749173927:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/567Mi)
% 18.29/3.06 % (770642)Refutation not found, incomplete strategy
% 18.29/3.06 % (770642)------------------------------
% 18.29/3.06 % (770642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.29/3.06 % (770642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.06 % (770642)CaDiCaL version: 2.1.3
% 18.29/3.06 % (770642)Termination reason: Refutation not found, incomplete strategy
% 18.29/3.06 % (770642)Time elapsed: 0.002 s
% 18.29/3.06 % (770642)Peak memory usage: 11 MB
% 18.29/3.06 % (770642)Instructions burned: 1 (million)
% 18.29/3.06 % (770642)------------------------------
% 18.29/3.06 % (770642)------------------------------
% 18.29/3.06 % (770645)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1921408659:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 18.29/3.06 % (770645)Refutation not found, incomplete strategy
% 18.29/3.06 % (770645)------------------------------
% 18.29/3.06 % (770645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.29/3.06 % (770645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.06 % (770645)CaDiCaL version: 2.1.3
% 18.29/3.06 % (770645)Termination reason: Refutation not found, incomplete strategy
% 18.29/3.06 % (770645)Time elapsed: 0.001 s
% 18.29/3.06 % (770645)Peak memory usage: 11 MB
% 18.29/3.06 % (770645)Instructions burned: 1 (million)
% 18.29/3.06 % (770645)------------------------------
% 18.29/3.06 % (770645)------------------------------
% 18.29/3.06 % (770647)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1857486268:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2976 on theBenchmark for (2976ds/429Mi)
% 18.29/3.06 % (770637)Instruction limit reached!
% 18.29/3.06 % (770637)------------------------------
% 18.29/3.06 % (770637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.29/3.06 % (770637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.06 % (770637)CaDiCaL version: 2.1.3
% 18.29/3.06 % (770637)Termination reason: Instruction limit
% 18.29/3.06 % (770637)Termination phase: Saturation
% 18.29/3.06 % (770637)Time elapsed: 0.150 s
% 18.29/3.06 % (770637)Peak memory usage: 12 MB
% 18.29/3.06 % (770637)Instructions burned: 387 (million)
% 18.29/3.06 % (770649)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2574836043:i=478:bd=all:rtra=on_2975 on theBenchmark for (2975ds/478Mi)
% 19.77/3.21 % (770649)Refutation not found, incomplete strategy
% 19.77/3.21 % (770649)------------------------------
% 19.77/3.21 % (770649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.21 % (770649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.21 % (770649)CaDiCaL version: 2.1.3
% 19.77/3.21 % (770649)Termination reason: Refutation not found, incomplete strategy
% 19.77/3.21 % (770649)Time elapsed: 0.001 s
% 19.77/3.21 % (770649)Peak memory usage: 12 MB
% 19.77/3.21 % (770649)Instructions burned: 2 (million)
% 19.77/3.21 % (770649)------------------------------
% 19.77/3.21 % (770649)------------------------------
% 19.77/3.21 % (770651)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3966750313:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2975 on theBenchmark for (2975ds/445Mi)
% 19.77/3.21 % (770641)Instruction limit reached!
% 19.77/3.21 % (770641)------------------------------
% 19.77/3.21 % (770641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.21 % (770641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.21 % (770641)CaDiCaL version: 2.1.3
% 19.77/3.21 % (770641)Termination reason: Instruction limit
% 19.77/3.21 % (770641)Termination phase: Saturation
% 19.77/3.21 % (770641)Time elapsed: 0.225 s
% 19.77/3.21 % (770641)Peak memory usage: 12 MB
% 19.77/3.21 % (770641)Instructions burned: 300 (million)
% 19.77/3.21 % (770653)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1633731604:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/71Mi)
% 19.77/3.21 % (770653)Instruction limit reached!
% 19.77/3.21 % (770653)------------------------------
% 19.77/3.21 % (770653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.21 % (770653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.21 % (770653)CaDiCaL version: 2.1.3
% 19.77/3.21 % (770653)Termination reason: Instruction limit
% 19.77/3.21 % (770653)Termination phase: Saturation
% 19.77/3.21 % (770653)Time elapsed: 0.064 s
% 19.77/3.21 % (770653)Peak memory usage: 12 MB
% 19.77/3.21 % (770653)Instructions burned: 72 (million)
% 19.77/3.21 % (770651)Instruction limit reached!
% 19.77/3.21 % (770651)------------------------------
% 19.77/3.21 % (770651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.21 % (770651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.21 % (770651)CaDiCaL version: 2.1.3
% 19.77/3.21 % (770651)Termination reason: Instruction limit
% 19.77/3.21 % (770651)Termination phase: Saturation
% 19.77/3.21 % (770651)Time elapsed: 0.192 s
% 19.77/3.21 % (770651)Peak memory usage: 14 MB
% 19.77/3.21 % (770651)Instructions burned: 445 (million)
% 19.77/3.21 % (770655)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4166736149:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/302Mi)
% 19.77/3.21 % (770655)Refutation not found, incomplete strategy
% 19.77/3.21 % (770655)------------------------------
% 19.77/3.21 % (770655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.21 % (770655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.21 % (770655)CaDiCaL version: 2.1.3
% 19.77/3.21 % (770655)Termination reason: Refutation not found, incomplete strategy
% 19.77/3.21 % (770655)Time elapsed: 0.001 s
% 19.77/3.21 % (770655)Peak memory usage: 11 MB
% 19.77/3.21 % (770655)Instructions burned: 1 (million)
% 19.77/3.21 % (770655)------------------------------
% 19.77/3.21 % (770655)------------------------------
% 19.77/3.21 % (770656)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3107038313:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/4980Mi)
% 19.77/3.21 % (770656)Refutation not found, incomplete strategy
% 19.77/3.21 % (770656)------------------------------
% 19.77/3.21 % (770656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.21 % (770656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.21 % (770656)CaDiCaL version: 2.1.3
% 19.77/3.21 % (770656)Termination reason: Refutation not found, incomplete strategy
% 19.77/3.21 % (770656)Time elapsed: 0.0000 s
% 19.77/3.21 % (770656)Peak memory usage: 11 MB
% 19.77/3.21 % (770656)Instructions burned: 1 (million)
% 19.77/3.21 % (770656)------------------------------
% 19.77/3.21 % (770656)------------------------------
% 19.77/3.21 % (770634)Instruction limit reached!
% 19.77/3.21 % (770634)------------------------------
% 21.40/3.43 % (770634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.40/3.43 % (770634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.40/3.43 % (770634)CaDiCaL version: 2.1.3
% 21.40/3.43 % (770634)Termination reason: Instruction limit
% 21.40/3.43 % (770634)Termination phase: Saturation
% 21.40/3.43 % (770634)Time elapsed: 0.422 s
% 21.40/3.43 % (770634)Peak memory usage: 13 MB
% 21.40/3.43 % (770634)Instructions burned: 764 (million)
% 21.40/3.43 % (770660)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=3459096998:i=76:piset=equals:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/76Mi)
% 21.40/3.43 % (770658)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
% 21.40/3.43 % (770658)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.40/3.43 % (770658)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=977776958:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2973 on theBenchmark for (2973ds/100Mi)
% 21.40/3.43 % (770661)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2960880972:i=289:rtra=on_2973 on theBenchmark for (2973ds/289Mi)
% 21.40/3.43 % (770661)Refutation not found, incomplete strategy
% 21.40/3.43 % (770661)------------------------------
% 21.40/3.43 % (770661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.40/3.43 % (770661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.40/3.43 % (770661)CaDiCaL version: 2.1.3
% 21.40/3.43 % (770661)Termination reason: Refutation not found, incomplete strategy
% 21.40/3.43 % (770661)Time elapsed: 0.002 s
% 21.40/3.43 % (770661)Peak memory usage: 12 MB
% 21.40/3.43 % (770661)Instructions burned: 2 (million)
% 21.40/3.43 % (770661)------------------------------
% 21.40/3.43 % (770661)------------------------------
% 21.40/3.43 % (770647)Instruction limit reached!
% 21.40/3.43 % (770647)------------------------------
% 21.40/3.43 % (770647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.40/3.43 % (770647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.40/3.43 % (770647)CaDiCaL version: 2.1.3
% 21.40/3.43 % (770647)Termination reason: Instruction limit
% 21.40/3.43 % (770647)Termination phase: Saturation
% 21.40/3.43 % (770647)Time elapsed: 0.338 s
% 21.40/3.43 % (770647)Peak memory usage: 12 MB
% 21.40/3.43 % (770647)Instructions burned: 430 (million)
% 21.40/3.43 % (770660)Instruction limit reached!
% 21.40/3.43 % (770660)------------------------------
% 21.40/3.43 % (770660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.40/3.43 % (770660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.40/3.43 % (770660)CaDiCaL version: 2.1.3
% 21.40/3.43 % (770660)Termination reason: Instruction limit
% 21.40/3.43 % (770660)Termination phase: Saturation
% 21.40/3.43 % (770660)Time elapsed: 0.034 s
% 21.40/3.43 % (770660)Peak memory usage: 12 MB
% 21.40/3.43 % (770660)Instructions burned: 79 (million)
% 21.40/3.43 % (770666)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=225827982:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 21.40/3.43 % (770667)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.40/3.43 % (770665)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=4008091668:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2972 on theBenchmark for (2972ds/493Mi)
% 21.40/3.43 % (770667)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=96764300:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 21.40/3.43 % (770666)Instruction limit reached!
% 21.40/3.43 % (770666)------------------------------
% 21.40/3.43 % (770666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.40/3.43 % (770666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.58 % (770666)CaDiCaL version: 2.1.3
% 22.00/3.58 % (770666)Termination reason: Instruction limit
% 22.00/3.58 % (770666)Termination phase: Saturation
% 22.00/3.58 % (770666)Time elapsed: 0.016 s
% 22.00/3.58 % (770666)Peak memory usage: 12 MB
% 22.00/3.58 % (770666)Instructions burned: 34 (million)
% 22.00/3.58 % (770667)Refutation not found, incomplete strategy
% 22.00/3.58 % (770667)------------------------------
% 22.00/3.58 % (770667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.58 % (770667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.58 % (770667)CaDiCaL version: 2.1.3
% 22.00/3.58 % (770667)Termination reason: Refutation not found, incomplete strategy
% 22.00/3.58 % (770667)Time elapsed: 0.003 s
% 22.00/3.58 % (770667)Peak memory usage: 11 MB
% 22.00/3.58 % (770667)Instructions burned: 3 (million)
% 22.00/3.58 % (770667)------------------------------
% 22.00/3.58 % (770667)------------------------------
% 22.00/3.58 % (770658)Instruction limit reached!
% 22.00/3.58 % (770658)------------------------------
% 22.00/3.58 % (770658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.58 % (770658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.58 % (770658)CaDiCaL version: 2.1.3
% 22.00/3.58 % (770658)Termination reason: Instruction limit
% 22.00/3.58 % (770658)Termination phase: Saturation
% 22.00/3.58 % (770658)Time elapsed: 0.067 s
% 22.00/3.58 % (770658)Peak memory usage: 12 MB
% 22.00/3.58 % (770658)Instructions burned: 101 (million)
% 22.00/3.58 % (770671)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=58195477:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2972 on theBenchmark for (2972ds/670Mi)
% 22.00/3.58 % (770672)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2363589999:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/647Mi)
% 22.00/3.58 % (770672)Refutation not found, incomplete strategy
% 22.00/3.58 % (770672)------------------------------
% 22.00/3.58 % (770672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.58 % (770672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.58 % (770672)CaDiCaL version: 2.1.3
% 22.00/3.58 % (770672)Termination reason: Refutation not found, incomplete strategy
% 22.00/3.58 % (770672)Time elapsed: 0.001 s
% 22.00/3.58 % (770672)Peak memory usage: 11 MB
% 22.00/3.58 % (770672)------------------------------
% 22.00/3.58 % (770672)------------------------------
% 22.00/3.58 % (770673)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=3664850688:i=857:add=off:kws=frequency:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/857Mi)
% 22.00/3.58 % (770676)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=4097973476:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2972 on theBenchmark for (2972ds/693Mi)
% 22.00/3.58 % (770597)Instruction limit reached!
% 22.00/3.58 % (770597)------------------------------
% 22.00/3.58 % (770597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.58 % (770597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.58 % (770597)CaDiCaL version: 2.1.3
% 22.00/3.58 % (770597)Termination reason: Instruction limit
% 22.00/3.58 % (770597)Termination phase: Saturation
% 22.00/3.58 % (770597)Time elapsed: 1.308 s
% 22.00/3.58 % (770597)Peak memory usage: 13 MB
% 22.00/3.58 % (770597)Instructions burned: 2187 (million)
% 22.00/3.58 % (770679)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3103276787:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 22.00/3.58 % (770679)Refutation not found, incomplete strategy
% 22.00/3.58 % (770679)------------------------------
% 22.00/3.58 % (770679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.58 % (770679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.58 % (770679)CaDiCaL version: 2.1.3
% 22.00/3.58 % (770679)Termination reason: Refutation not found, incomplete strategy
% 22.00/3.58 % (770679)Time elapsed: 0.002 s
% 22.00/3.58 % (770679)Peak memory usage: 11 MB
% 22.00/3.58 % (770679)Instructions burned: 1 (million)
% 22.00/3.58 % (770679)------------------------------
% 22.00/3.58 % (770679)------------------------------
% 22.88/3.71 % (770681)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.88/3.71 % (770681)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=182551559:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 22.88/3.71 % (770681)Instruction limit reached!
% 22.88/3.71 % (770681)------------------------------
% 22.88/3.71 % (770681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/3.71 % (770681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/3.71 % (770681)CaDiCaL version: 2.1.3
% 22.88/3.71 % (770681)Termination reason: Instruction limit
% 22.88/3.71 % (770681)Termination phase: Saturation
% 22.88/3.71 % (770681)Time elapsed: 0.035 s
% 22.88/3.71 % (770681)Peak memory usage: 12 MB
% 22.88/3.71 % (770681)Instructions burned: 52 (million)
% 22.88/3.71 % (770671)Instruction limit reached!
% 22.88/3.71 % (770671)------------------------------
% 22.88/3.71 % (770671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/3.71 % (770671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/3.71 % (770671)CaDiCaL version: 2.1.3
% 22.88/3.71 % (770671)Termination reason: Instruction limit
% 22.88/3.71 % (770671)Termination phase: Saturation
% 22.88/3.71 % (770671)Time elapsed: 0.236 s
% 22.88/3.71 % (770671)Peak memory usage: 13 MB
% 22.88/3.71 % (770671)Instructions burned: 672 (million)
% 22.88/3.71 % (770683)dis+10_1_si=on:random_seed=1896642204:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2970 on theBenchmark for (2970ds/407Mi)
% 22.88/3.71 % (770683)Refutation not found, incomplete strategy
% 22.88/3.71 % (770683)------------------------------
% 22.88/3.71 % (770683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/3.71 % (770683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/3.71 % (770683)CaDiCaL version: 2.1.3
% 22.88/3.71 % (770683)Termination reason: Refutation not found, incomplete strategy
% 22.88/3.71 % (770683)Time elapsed: 0.001 s
% 22.88/3.71 % (770683)Peak memory usage: 11 MB
% 22.88/3.71 % (770683)Instructions burned: 1 (million)
% 22.88/3.71 % (770683)------------------------------
% 22.88/3.71 % (770683)------------------------------
% 22.88/3.71 % (770684)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=1191833910:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 22.88/3.71 % (770686)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=4086245942:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 22.88/3.71 % (770686)Refutation not found, incomplete strategy
% 22.88/3.71 % (770686)------------------------------
% 22.88/3.71 % (770686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/3.71 % (770686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/3.71 % (770686)CaDiCaL version: 2.1.3
% 22.88/3.71 % (770686)Termination reason: Refutation not found, incomplete strategy
% 22.88/3.71 % (770686)Time elapsed: 0.001 s
% 22.88/3.71 % (770686)Peak memory usage: 11 MB
% 22.88/3.71 % (770686)------------------------------
% 22.88/3.71 % (770686)------------------------------
% 22.88/3.71 % (770689)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2168413511:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2969 on theBenchmark for (2969ds/1142Mi)
% 22.88/3.71 % (770689)Refutation not found, incomplete strategy
% 22.88/3.71 % (770689)------------------------------
% 22.88/3.71 % (770689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/3.71 % (770689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/3.71 % (770689)CaDiCaL version: 2.1.3
% 22.88/3.71 % (770689)Termination reason: Refutation not found, incomplete strategy
% 22.88/3.71 % (770689)Time elapsed: 0.015 s
% 22.88/3.71 % (770689)Peak memory usage: 12 MB
% 22.88/3.71 % (770689)Instructions burned: 15 (million)
% 22.88/3.71 % (770689)------------------------------
% 22.88/3.71 % (770689)------------------------------
% 22.88/3.71 % (770665)Instruction limit reached!
% 22.88/3.71 % (770665)------------------------------
% 22.88/3.71 % (770665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/3.71 % (770665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.82/4.18 % (770665)CaDiCaL version: 2.1.3
% 26.82/4.18 % (770665)Termination reason: Instruction limit
% 26.82/4.18 % (770665)Termination phase: Saturation
% 26.82/4.18 % (770665)Time elapsed: 0.374 s
% 26.82/4.18 % (770665)Peak memory usage: 13 MB
% 26.82/4.18 % (770665)Instructions burned: 494 (million)
% 26.82/4.18 % (770691)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1907386394:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/376Mi)
% 26.82/4.18 % (770691)Refutation not found, incomplete strategy
% 26.82/4.18 % (770691)------------------------------
% 26.82/4.18 % (770691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.82/4.18 % (770691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.82/4.18 % (770691)CaDiCaL version: 2.1.3
% 26.82/4.18 % (770691)Termination reason: Refutation not found, incomplete strategy
% 26.82/4.18 % (770691)Time elapsed: 0.002 s
% 26.82/4.18 % (770691)Peak memory usage: 12 MB
% 26.82/4.18 % (770691)Instructions burned: 1 (million)
% 26.82/4.18 % (770691)------------------------------
% 26.82/4.18 % (770691)------------------------------
% 26.82/4.18 % (770692)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=678121303:i=766:bd=all:rtra=on_2968 on theBenchmark for (2968ds/766Mi)
% 26.82/4.18 % (770692)Refutation not found, incomplete strategy
% 26.82/4.18 % (770692)------------------------------
% 26.82/4.18 % (770692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.82/4.18 % (770692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.82/4.18 % (770692)CaDiCaL version: 2.1.3
% 26.82/4.18 % (770692)Termination reason: Refutation not found, incomplete strategy
% 26.82/4.18 % (770692)Time elapsed: 0.003 s
% 26.82/4.18 % (770692)Peak memory usage: 12 MB
% 26.82/4.18 % (770692)Instructions burned: 2 (million)
% 26.82/4.18 % (770692)------------------------------
% 26.82/4.18 % (770692)------------------------------
% 26.82/4.18 % (770694)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.82/4.18 % (770694)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1604213373: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_2968 on theBenchmark for (2968ds/959Mi)
% 26.82/4.18 % (770694)Refutation not found, incomplete strategy
% 26.82/4.18 % (770694)------------------------------
% 26.82/4.18 % (770694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.82/4.18 % (770694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.82/4.18 % (770694)CaDiCaL version: 2.1.3
% 26.82/4.18 % (770694)Termination reason: Refutation not found, incomplete strategy
% 26.82/4.18 % (770694)Time elapsed: 0.001 s
% 26.82/4.18 % (770694)Peak memory usage: 11 MB
% 26.82/4.18 % (770694)------------------------------
% 26.82/4.18 % (770694)------------------------------
% 26.82/4.18 % (770696)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=611106844:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2968 on theBenchmark for (2968ds/6359Mi)
% 26.82/4.18 % (770698)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=593999449:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2968 on theBenchmark for (2968ds/35Mi)
% 26.82/4.18 % (770698)Refutation not found, incomplete strategy
% 26.82/4.18 % (770698)------------------------------
% 26.82/4.18 % (770698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.82/4.18 % (770698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.82/4.18 % (770698)CaDiCaL version: 2.1.3
% 26.82/4.18 % (770698)Termination reason: Refutation not found, incomplete strategy
% 26.82/4.18 % (770698)Time elapsed: 0.001 s
% 26.82/4.18 % (770698)Peak memory usage: 11 MB
% 26.82/4.18 % (770698)------------------------------
% 26.82/4.18 % (770698)------------------------------
% 26.82/4.18 % (770701)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1921137682:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2968 on theBenchmark for (2968ds/53Mi)
% 26.82/4.18 % (770676)Instruction limit reached!
% 26.82/4.18 % (770676)------------------------------
% 26.82/4.18 % (770676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.29 % (770676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.29 % (770676)CaDiCaL version: 2.1.3
% 27.41/4.29 % (770676)Termination reason: Instruction limit
% 27.41/4.29 % (770676)Termination phase: Saturation
% 27.41/4.29 % (770676)Time elapsed: 0.454 s
% 27.41/4.29 % (770676)Peak memory usage: 13 MB
% 27.41/4.29 % (770676)Instructions burned: 693 (million)
% 27.41/4.29 % (770701)Instruction limit reached!
% 27.41/4.29 % (770701)------------------------------
% 27.41/4.29 % (770701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.29 % (770701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.29 % (770701)CaDiCaL version: 2.1.3
% 27.41/4.29 % (770701)Termination reason: Instruction limit
% 27.41/4.29 % (770701)Termination phase: Saturation
% 27.41/4.29 % (770701)Time elapsed: 0.053 s
% 27.41/4.29 % (770701)Peak memory usage: 12 MB
% 27.41/4.29 % (770701)Instructions burned: 53 (million)
% 27.41/4.29 % (770673)Instruction limit reached!
% 27.41/4.29 % (770673)------------------------------
% 27.41/4.29 % (770673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.29 % (770673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.29 % (770673)CaDiCaL version: 2.1.3
% 27.41/4.29 % (770673)Termination reason: Instruction limit
% 27.41/4.29 % (770673)Termination phase: Saturation
% 27.41/4.29 % (770673)Time elapsed: 0.505 s
% 27.41/4.29 % (770673)Peak memory usage: 13 MB
% 27.41/4.29 % (770673)Instructions burned: 858 (million)
% 27.41/4.29 % (770703)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=380190700:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 27.41/4.29 % (770705)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.41/4.29 % (770704)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2962669277:i=57:ep=R:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/57Mi)
% 27.41/4.29 % (770705)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=405631577:i=306:bd=all:rtra=on_2967 on theBenchmark for (2967ds/306Mi)
% 27.41/4.29 % (770705)Refutation not found, incomplete strategy
% 27.41/4.29 % (770705)------------------------------
% 27.41/4.29 % (770705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.29 % (770705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.29 % (770705)CaDiCaL version: 2.1.3
% 27.41/4.29 % (770705)Termination reason: Refutation not found, incomplete strategy
% 27.41/4.29 % (770705)Time elapsed: 0.003 s
% 27.41/4.29 % (770705)Peak memory usage: 12 MB
% 27.41/4.29 % (770705)Instructions burned: 2 (million)
% 27.41/4.29 % (770705)------------------------------
% 27.41/4.29 % (770705)------------------------------
% 27.41/4.29 % (770709)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2257137884:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/262Mi)
% 27.41/4.29 % (770709)Refutation not found, incomplete strategy
% 27.41/4.29 % (770709)------------------------------
% 27.41/4.29 % (770709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.29 % (770709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.29 % (770709)CaDiCaL version: 2.1.3
% 27.41/4.29 % (770709)Termination reason: Refutation not found, incomplete strategy
% 27.41/4.29 % (770709)Time elapsed: 0.001 s
% 27.41/4.29 % (770709)Peak memory usage: 11 MB
% 27.41/4.29 % (770709)Instructions burned: 1 (million)
% 27.41/4.29 % (770709)------------------------------
% 27.41/4.29 % (770709)------------------------------
% 27.41/4.29 % (770704)Instruction limit reached!
% 27.41/4.29 % (770704)------------------------------
% 27.41/4.29 % (770704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.29 % (770704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.29 % (770704)CaDiCaL version: 2.1.3
% 27.41/4.29 % (770704)Termination reason: Instruction limit
% 27.41/4.29 % (770704)Termination phase: Saturation
% 27.41/4.29 % (770704)Time elapsed: 0.047 s
% 27.41/4.29 % (770704)Peak memory usage: 12 MB
% 27.41/4.29 % (770704)Instructions burned: 57 (million)
% 27.41/4.29 % (770711)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 27.41/4.29 % (770711)ott+1002_16_sil=128000:si=on:random_seed=3230086020:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2966 on theBenchmark for (2966ds/409Mi)
% 27.87/4.46 % (770712)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2637311714:s2a=on:i=381:rtra=on_2966 on theBenchmark for (2966ds/381Mi)
% 27.87/4.46 % (770711)Instruction limit reached!
% 27.87/4.46 % (770711)------------------------------
% 27.87/4.46 % (770711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.46 % (770711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.46 % (770711)CaDiCaL version: 2.1.3
% 27.87/4.46 % (770711)Termination reason: Instruction limit
% 27.87/4.46 % (770711)Termination phase: Saturation
% 27.87/4.46 % (770711)Time elapsed: 0.247 s
% 27.87/4.46 % (770711)Peak memory usage: 13 MB
% 27.87/4.46 % (770711)Instructions burned: 410 (million)
% 27.87/4.46 % (770715)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2753527129:cond=on:i=324:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/324Mi)
% 27.87/4.46 % (770712)Instruction limit reached!
% 27.87/4.46 % (770712)------------------------------
% 27.87/4.46 % (770712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.46 % (770712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.46 % (770712)CaDiCaL version: 2.1.3
% 27.87/4.46 % (770712)Termination reason: Instruction limit
% 27.87/4.46 % (770712)Termination phase: Saturation
% 27.87/4.46 % (770712)Time elapsed: 0.292 s
% 27.87/4.46 % (770712)Peak memory usage: 12 MB
% 27.87/4.46 % (770712)Instructions burned: 381 (million)
% 27.87/4.46 % (770613)Instruction limit reached!
% 27.87/4.46 % (770613)------------------------------
% 27.87/4.46 % (770613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.46 % (770613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.46 % (770613)CaDiCaL version: 2.1.3
% 27.87/4.46 % (770613)Termination reason: Instruction limit
% 27.87/4.46 % (770613)Termination phase: Saturation
% 27.87/4.46 % (770613)Time elapsed: 1.958 s
% 27.87/4.46 % (770613)Peak memory usage: 17 MB
% 27.87/4.46 % (770613)Instructions burned: 2471 (million)
% 27.87/4.46 % (770717)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2689265148:i=240:kws=inv_precedence:rtra=on_2963 on theBenchmark for (2963ds/240Mi)
% 27.87/4.46 % (770717)Refutation not found, incomplete strategy
% 27.87/4.46 % (770717)------------------------------
% 27.87/4.46 % (770717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.46 % (770717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.46 % (770717)CaDiCaL version: 2.1.3
% 27.87/4.46 % (770717)Termination reason: Refutation not found, incomplete strategy
% 27.87/4.46 % (770717)Time elapsed: 0.003 s
% 27.87/4.46 % (770717)Peak memory usage: 12 MB
% 27.87/4.46 % (770717)Instructions burned: 1 (million)
% 27.87/4.46 % (770717)------------------------------
% 27.87/4.46 % (770717)------------------------------
% 27.87/4.46 % (770718)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.87/4.46 % (770718)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3885924594:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 27.87/4.46 % (770720)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1228359911:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 27.87/4.46 % (770718)Instruction limit reached!
% 27.87/4.46 % (770718)------------------------------
% 27.87/4.46 % (770718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.46 % (770718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.46 % (770718)CaDiCaL version: 2.1.3
% 27.87/4.46 % (770718)Termination reason: Instruction limit
% 27.87/4.46 % (770718)Termination phase: Saturation
% 27.87/4.46 % (770718)Time elapsed: 0.085 s
% 27.87/4.46 % (770718)Peak memory usage: 12 MB
% 27.87/4.46 % (770718)Instructions burned: 125 (million)
% 27.87/4.46 % (770723)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3779640810:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 27.87/4.46 % (770684)Instruction limit reached!
% 27.87/4.46 % (770684)------------------------------
% 27.87/4.46 % (770684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.46 % (770684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.29/4.64 % (770684)CaDiCaL version: 2.1.3
% 29.29/4.64 % (770684)Termination reason: Instruction limit
% 29.29/4.64 % (770684)Termination phase: Saturation
% 29.29/4.64 % (770684)Time elapsed: 0.855 s
% 29.29/4.64 % (770684)Peak memory usage: 17 MB
% 29.29/4.64 % (770684)Instructions burned: 2242 (million)
% 29.29/4.64 % (770725)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=338159047:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/464Mi)
% 29.29/4.64 % (770725)Refutation not found, incomplete strategy
% 29.29/4.64 % (770725)------------------------------
% 29.29/4.64 % (770725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.29/4.64 % (770725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.29/4.64 % (770725)CaDiCaL version: 2.1.3
% 29.29/4.64 % (770725)Termination reason: Refutation not found, incomplete strategy
% 29.29/4.64 % (770725)Time elapsed: 0.002 s
% 29.29/4.64 % (770725)Peak memory usage: 11 MB
% 29.29/4.64 % (770725)Instructions burned: 1 (million)
% 29.29/4.64 % (770725)------------------------------
% 29.29/4.64 % (770725)------------------------------
% 29.29/4.64 % (770727)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=552042179:i=88:s2at=3:nm=2:rtra=on:rawr=on_2960 on theBenchmark for (2960ds/88Mi)
% 29.29/4.64 % (770720)Instruction limit reached!
% 29.29/4.64 % (770720)------------------------------
% 29.29/4.64 % (770720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.29/4.64 % (770720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.29/4.64 % (770720)CaDiCaL version: 2.1.3
% 29.29/4.64 % (770720)Termination reason: Instruction limit
% 29.29/4.64 % (770720)Termination phase: Saturation
% 29.29/4.64 % (770720)Time elapsed: 0.153 s
% 29.29/4.64 % (770720)Peak memory usage: 13 MB
% 29.29/4.64 % (770720)Instructions burned: 223 (million)
% 29.29/4.64 % (770715)Instruction limit reached!
% 29.29/4.64 % (770715)------------------------------
% 29.29/4.64 % (770715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.29/4.64 % (770715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.29/4.64 % (770715)CaDiCaL version: 2.1.3
% 29.29/4.64 % (770715)Termination reason: Instruction limit
% 29.29/4.64 % (770715)Termination phase: Saturation
% 29.29/4.64 % (770715)Time elapsed: 0.254 s
% 29.29/4.64 % (770715)Peak memory usage: 12 MB
% 29.29/4.64 % (770715)Instructions burned: 324 (million)
% 29.29/4.64 % (770730)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 29.29/4.64 % (770729)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3656168294:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2960 on theBenchmark for (2960ds/280Mi)
% 29.29/4.64 % (770727)Instruction limit reached!
% 29.29/4.64 % (770727)------------------------------
% 29.29/4.64 % (770727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.29/4.64 % (770727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.29/4.64 % (770727)CaDiCaL version: 2.1.3
% 29.29/4.64 % (770727)Termination reason: Instruction limit
% 29.29/4.64 % (770727)Termination phase: Saturation
% 29.29/4.64 % (770727)Time elapsed: 0.034 s
% 29.29/4.64 % (770727)Peak memory usage: 12 MB
% 29.29/4.64 % (770727)Instructions burned: 89 (million)
% 29.29/4.64 % (770730)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2638509212:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 29.29/4.64 % (770732)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 29.29/4.64 % (770732)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 29.29/4.64 % (770732)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=2010932159:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2960 on theBenchmark for (2960ds/483Mi)
% 29.29/4.64 % (770732)Refutation not found, incomplete strategy
% 29.29/4.64 % (770732)------------------------------
% 29.29/4.64 % (770732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.29/4.64 % (770732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/4.99 % (770732)CaDiCaL version: 2.1.3
% 30.71/4.99 % (770732)Termination reason: Refutation not found, incomplete strategy
% 30.71/4.99 % (770732)Time elapsed: 0.001 s
% 30.71/4.99 % (770732)Peak memory usage: 12 MB
% 30.71/4.99 % (770732)Instructions burned: 1 (million)
% 30.71/4.99 % (770732)------------------------------
% 30.71/4.99 % (770732)------------------------------
% 30.71/4.99 % (770703)Instruction limit reached!
% 30.71/4.99 % (770703)------------------------------
% 30.71/4.99 % (770703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.71/4.99 % (770703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/4.99 % (770703)CaDiCaL version: 2.1.3
% 30.71/4.99 % (770703)Termination reason: Instruction limit
% 30.71/4.99 % (770703)Termination phase: Saturation
% 30.71/4.99 % (770703)Time elapsed: 0.676 s
% 30.71/4.99 % (770703)Peak memory usage: 13 MB
% 30.71/4.99 % (770703)Instructions burned: 877 (million)
% 30.71/4.99 % (770735)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=369617752:i=73:rtra=on_2960 on theBenchmark for (2960ds/73Mi)
% 30.71/4.99 % (770735)Refutation not found, incomplete strategy
% 30.71/4.99 % (770735)------------------------------
% 30.71/4.99 % (770735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.71/4.99 % (770735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/4.99 % (770735)CaDiCaL version: 2.1.3
% 30.71/4.99 % (770735)Termination reason: Refutation not found, incomplete strategy
% 30.71/4.99 % (770735)Time elapsed: 0.001 s
% 30.71/4.99 % (770735)Peak memory usage: 12 MB
% 30.71/4.99 % (770735)Instructions burned: 2 (million)
% 30.71/4.99 % (770735)------------------------------
% 30.71/4.99 % (770735)------------------------------
% 30.71/4.99 % (770736)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2761620607:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2960 on theBenchmark for (2960ds/176Mi)
% 30.71/4.99 % (770738)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 30.71/4.99 % (770738)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1738915615:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2960 on theBenchmark for (2960ds/39Mi)
% 30.71/4.99 % (770738)Instruction limit reached!
% 30.71/4.99 % (770738)------------------------------
% 30.71/4.99 % (770738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.71/4.99 % (770738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/4.99 % (770738)CaDiCaL version: 2.1.3
% 30.71/4.99 % (770738)Termination reason: Instruction limit
% 30.71/4.99 % (770738)Termination phase: Saturation
% 30.71/4.99 % (770738)Time elapsed: 0.018 s
% 30.71/4.99 % (770738)Peak memory usage: 12 MB
% 30.71/4.99 % (770738)Instructions burned: 39 (million)
% 30.71/4.99 % (770741)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2220843485:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/708Mi)
% 30.71/4.99 % (770723)Instruction limit reached!
% 30.71/4.99 % (770723)------------------------------
% 30.71/4.99 % (770723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.71/4.99 % (770723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/4.99 % (770723)CaDiCaL version: 2.1.3
% 30.71/4.99 % (770723)Termination reason: Instruction limit
% 30.71/4.99 % (770723)Termination phase: Saturation
% 30.71/4.99 % (770723)Time elapsed: 0.238 s
% 30.71/4.99 % (770723)Peak memory usage: 13 MB
% 30.71/4.99 % (770723)Instructions burned: 283 (million)
% 30.71/4.99 % (770743)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
% 30.71/4.99 % (770743)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=3052488982:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/252Mi)
% 30.71/4.99 % (770736)Instruction limit reached!
% 30.71/4.99 % (770736)------------------------------
% 30.71/4.99 % (770736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.71/4.99 % (770736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.71/4.99 % (770736)CaDiCaL version: 2.1.3
% 30.71/4.99 % (770736)Termination reason: Instruction limit
% 33.94/5.16 % (770736)Termination phase: Saturation
% 33.94/5.16 % (770736)Time elapsed: 0.142 s
% 33.94/5.16 % (770736)Peak memory usage: 12 MB
% 33.94/5.16 % (770736)Instructions burned: 177 (million)
% 33.94/5.16 % (770745)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=4010743079:i=823:fsr=off:rtra=on_2958 on theBenchmark for (2958ds/823Mi)
% 33.94/5.16 % (770729)Instruction limit reached!
% 33.94/5.16 % (770729)------------------------------
% 33.94/5.16 % (770729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.94/5.16 % (770729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.94/5.16 % (770729)CaDiCaL version: 2.1.3
% 33.94/5.16 % (770729)Termination reason: Instruction limit
% 33.94/5.16 % (770729)Termination phase: Saturation
% 33.94/5.16 % (770729)Time elapsed: 0.231 s
% 33.94/5.16 % (770729)Peak memory usage: 12 MB
% 33.94/5.16 % (770729)Instructions burned: 280 (million)
% 33.94/5.16 % (770747)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 33.94/5.16 % (770747)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2455789964:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/16202Mi)
% 33.94/5.16 % (770747)Refutation not found, incomplete strategy
% 33.94/5.16 % (770747)------------------------------
% 33.94/5.16 % (770747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.94/5.16 % (770747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.94/5.16 % (770747)CaDiCaL version: 2.1.3
% 33.94/5.16 % (770747)Termination reason: Refutation not found, incomplete strategy
% 33.94/5.16 % (770747)Time elapsed: 0.002 s
% 33.94/5.16 % (770747)Peak memory usage: 11 MB
% 33.94/5.16 % (770747)Instructions burned: 1 (million)
% 33.94/5.16 % (770747)------------------------------
% 33.94/5.16 % (770747)------------------------------
% 33.94/5.16 % (770749)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2896901202:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/300Mi)
% 33.94/5.16 % (770741)Instruction limit reached!
% 33.94/5.16 % (770741)------------------------------
% 33.94/5.16 % (770741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.94/5.16 % (770741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.94/5.16 % (770741)CaDiCaL version: 2.1.3
% 33.94/5.16 % (770741)Termination reason: Instruction limit
% 33.94/5.16 % (770741)Termination phase: Saturation
% 33.94/5.16 % (770741)Time elapsed: 0.224 s
% 33.94/5.16 % (770741)Peak memory usage: 14 MB
% 33.94/5.16 % (770741)Instructions burned: 710 (million)
% 33.94/5.16 % (770751)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 33.94/5.16 % (770751)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 33.94/5.16 % (770743)Instruction limit reached!
% 33.94/5.16 % (770743)------------------------------
% 33.94/5.16 % (770743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.94/5.16 % (770743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.94/5.16 % (770743)CaDiCaL version: 2.1.3
% 33.94/5.16 % (770743)Termination reason: Instruction limit
% 33.94/5.16 % (770743)Termination phase: Saturation
% 33.94/5.16 % (770743)Time elapsed: 0.156 s
% 33.94/5.16 % (770743)Peak memory usage: 12 MB
% 33.94/5.16 % (770743)Instructions burned: 252 (million)
% 33.94/5.16 % (770751)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2673529336:i=177:add=on:bd=preordered:rtra=on:rawr=on_2957 on theBenchmark for (2957ds/177Mi)
% 33.94/5.16 % (770753)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=77073418:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/715Mi)
% 33.94/5.16 % (770753)Refutation not found, incomplete strategy
% 33.94/5.16 % (770753)------------------------------
% 33.94/5.16 % (770753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.94/5.16 % (770753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.94/5.16 % (770753)CaDiCaL version: 2.1.3
% 33.94/5.16 % (770753)Termination reason: Refutation not found, incomplete strategy
% 33.94/5.16 % (770753)Time elapsed: 0.003 s
% 33.94/5.16 % (770753)Peak memory usage: 11 MB
% 33.94/5.16 % (770753)Instructions burned: 1 (million)
% 34.81/5.37 % (770753)------------------------------
% 34.81/5.37 % (770753)------------------------------
% 34.81/5.37 % (770755)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 34.81/5.37 % (770755)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 34.81/5.37 % (770751)Instruction limit reached!
% 34.81/5.37 % (770751)------------------------------
% 34.81/5.37 % (770751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.81/5.37 % (770751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.81/5.37 % (770751)CaDiCaL version: 2.1.3
% 34.81/5.37 % (770751)Termination reason: Instruction limit
% 34.81/5.37 % (770751)Termination phase: Saturation
% 34.81/5.37 % (770751)Time elapsed: 0.072 s
% 34.81/5.37 % (770751)Peak memory usage: 12 MB
% 34.81/5.37 % (770751)Instructions burned: 178 (million)
% 34.81/5.37 % (770755)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=3950802826:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2956 on theBenchmark for (2956ds/230Mi)
% 34.81/5.37 % (770755)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.81/5.37 % (770757)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2984228069:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2956 on theBenchmark for (2956ds/606Mi)
% 34.81/5.37 % (770749)Instruction limit reached!
% 34.81/5.37 % (770749)------------------------------
% 34.81/5.37 % (770749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.81/5.37 % (770749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.81/5.37 % (770749)CaDiCaL version: 2.1.3
% 34.81/5.37 % (770749)Termination reason: Instruction limit
% 34.81/5.37 % (770749)Termination phase: Saturation
% 34.81/5.37 % (770749)Time elapsed: 0.228 s
% 34.81/5.37 % (770749)Peak memory usage: 12 MB
% 34.81/5.37 % (770749)Instructions burned: 300 (million)
% 34.81/5.37 % (770759)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 34.81/5.37 % (770759)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3484388067:lrd=on:i=841:nm=0:rtra=on_2955 on theBenchmark for (2955ds/841Mi)
% 34.81/5.37 % (770755)Instruction limit reached!
% 34.81/5.37 % (770755)------------------------------
% 34.81/5.37 % (770755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.81/5.37 % (770755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.81/5.37 % (770755)CaDiCaL version: 2.1.3
% 34.81/5.37 % (770755)Termination reason: Instruction limit
% 34.81/5.37 % (770755)Termination phase: Saturation
% 34.81/5.37 % (770755)Time elapsed: 0.184 s
% 34.81/5.37 % (770755)Peak memory usage: 12 MB
% 34.81/5.37 % (770755)Instructions burned: 231 (million)
% 34.81/5.37 % (770761)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=70697265:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2954 on theBenchmark for (2954ds/445Mi)
% 34.81/5.37 % (770757)Instruction limit reached!
% 34.81/5.37 % (770757)------------------------------
% 34.81/5.37 % (770757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.81/5.37 % (770757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.81/5.37 % (770757)CaDiCaL version: 2.1.3
% 34.81/5.37 % (770757)Termination reason: Instruction limit
% 34.81/5.37 % (770757)Termination phase: Saturation
% 34.81/5.37 % (770757)Time elapsed: 0.246 s
% 34.81/5.37 % (770757)Peak memory usage: 13 MB
% 34.81/5.37 % (770757)Instructions burned: 607 (million)
% 34.81/5.37 % (770763)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4136200657:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/71Mi)
% 34.81/5.37 % (770763)Instruction limit reached!
% 34.81/5.37 % (770763)------------------------------
% 34.81/5.37 % (770763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.81/5.37 % (770763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.81/5.37 % (770763)CaDiCaL version: 2.1.3
% 34.81/5.37 % (770763)Termination reason: Instruction limit
% 34.81/5.37 % (770763)Termination phase: Saturation
% 35.83/5.51 % (770763)Time elapsed: 0.033 s
% 35.83/5.51 % (770763)Peak memory usage: 12 MB
% 35.83/5.51 % (770763)Instructions burned: 72 (million)
% 35.83/5.51 % (770765)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
% 35.83/5.51 % (770765)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.83/5.51 % (770765)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1193781584:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2953 on theBenchmark for (2953ds/100Mi)
% 35.83/5.51 % (770765)Instruction limit reached!
% 35.83/5.51 % (770765)------------------------------
% 35.83/5.51 % (770765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.51 % (770765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.51 % (770765)CaDiCaL version: 2.1.3
% 35.83/5.51 % (770765)Termination reason: Instruction limit
% 35.83/5.51 % (770765)Termination phase: Saturation
% 35.83/5.51 % (770765)Time elapsed: 0.037 s
% 35.83/5.51 % (770765)Peak memory usage: 12 MB
% 35.83/5.51 % (770765)Instructions burned: 103 (million)
% 35.83/5.51 % (770767)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 35.83/5.51 % (770767)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=1816741114:i=1352:add=on:aac=none:rtra=on_2952 on theBenchmark for (2952ds/1352Mi)
% 35.83/5.51 % (770767)Refutation not found, incomplete strategy
% 35.83/5.51 % (770767)------------------------------
% 35.83/5.51 % (770767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.51 % (770767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.51 % (770767)CaDiCaL version: 2.1.3
% 35.83/5.51 % (770767)Termination reason: Refutation not found, incomplete strategy
% 35.83/5.51 % (770767)Time elapsed: 0.002 s
% 35.83/5.51 % (770767)Peak memory usage: 12 MB
% 35.83/5.51 % (770767)Instructions burned: 3 (million)
% 35.83/5.51 % (770767)------------------------------
% 35.83/5.51 % (770767)------------------------------
% 35.83/5.51 % (770769)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=1294276880:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2952 on theBenchmark for (2952ds/646Mi)
% 35.83/5.51 % (770745)Instruction limit reached!
% 35.83/5.51 % (770745)------------------------------
% 35.83/5.51 % (770745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.51 % (770745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.51 % (770745)CaDiCaL version: 2.1.3
% 35.83/5.51 % (770745)Termination reason: Instruction limit
% 35.83/5.51 % (770745)Termination phase: Saturation
% 35.83/5.51 % (770745)Time elapsed: 0.596 s
% 35.83/5.51 % (770745)Peak memory usage: 13 MB
% 35.83/5.51 % (770745)Instructions burned: 823 (million)
% 35.83/5.51 % (770771)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2663018649:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2952 on theBenchmark for (2952ds/1924Mi)
% 35.83/5.51 % (770771)Refutation not found, incomplete strategy
% 35.83/5.51 % (770771)------------------------------
% 35.83/5.51 % (770771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.51 % (770771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.51 % (770771)CaDiCaL version: 2.1.3
% 35.83/5.51 % (770771)Termination reason: Refutation not found, incomplete strategy
% 35.83/5.51 % (770771)Time elapsed: 0.001 s
% 35.83/5.51 % (770771)Peak memory usage: 11 MB
% 35.83/5.51 % (770771)------------------------------
% 35.83/5.51 % (770771)------------------------------
% 35.83/5.51 % (770773)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1650047398:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2951 on theBenchmark for (2951ds/984Mi)
% 35.83/5.51 % (770773)Refutation not found, incomplete strategy
% 35.83/5.51 % (770773)------------------------------
% 35.83/5.51 % (770773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.51 % (770773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/5.72 % (770773)CaDiCaL version: 2.1.3
% 37.42/5.72 % (770773)Termination reason: Refutation not found, incomplete strategy
% 37.42/5.72 % (770773)Time elapsed: 0.003 s
% 37.42/5.72 % (770773)Peak memory usage: 12 MB
% 37.42/5.72 % (770773)Instructions burned: 2 (million)
% 37.42/5.72 % (770773)------------------------------
% 37.42/5.72 % (770773)------------------------------
% 37.42/5.72 % (770775)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=4205582807:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2951 on theBenchmark for (2951ds/592Mi)
% 37.42/5.72 % (770761)Instruction limit reached!
% 37.42/5.72 % (770761)------------------------------
% 37.42/5.72 % (770761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.42/5.72 % (770761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/5.72 % (770761)CaDiCaL version: 2.1.3
% 37.42/5.72 % (770761)Termination reason: Instruction limit
% 37.42/5.72 % (770761)Termination phase: Saturation
% 37.42/5.72 % (770761)Time elapsed: 0.374 s
% 37.42/5.72 % (770761)Peak memory usage: 14 MB
% 37.42/5.72 % (770761)Instructions burned: 446 (million)
% 37.42/5.72 % (770769)Instruction limit reached!
% 37.42/5.72 % (770769)------------------------------
% 37.42/5.72 % (770769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.42/5.72 % (770769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/5.72 % (770769)CaDiCaL version: 2.1.3
% 37.42/5.72 % (770769)Termination reason: Instruction limit
% 37.42/5.72 % (770769)Termination phase: Saturation
% 37.42/5.72 % (770769)Time elapsed: 0.199 s
% 37.42/5.72 % (770769)Peak memory usage: 14 MB
% 37.42/5.72 % (770769)Instructions burned: 650 (million)
% 37.42/5.72 % (770778)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 37.42/5.72 % (770778)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=3646415794:i=999:add=on:rtra=on_2950 on theBenchmark for (2950ds/999Mi)
% 37.42/5.72 % (770777)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1498033308:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2950 on theBenchmark for (2950ds/872Mi)
% 37.42/5.72 % (770777)Refutation not found, incomplete strategy
% 37.42/5.72 % (770777)------------------------------
% 37.42/5.72 % (770777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.42/5.72 % (770777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/5.72 % (770777)CaDiCaL version: 2.1.3
% 37.42/5.72 % (770777)Termination reason: Refutation not found, incomplete strategy
% 37.42/5.72 % (770777)Time elapsed: 0.001 s
% 37.42/5.72 % (770777)Peak memory usage: 11 MB
% 37.42/5.72 % (770777)Instructions burned: 1 (million)
% 37.42/5.72 % (770777)------------------------------
% 37.42/5.72 % (770777)------------------------------
% 37.42/5.72 % (770781)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 37.42/5.72 % (770781)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=1176530575:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2950 on theBenchmark for (2950ds/244Mi)
% 37.42/5.72 % (770781)Refutation not found, incomplete strategy
% 37.42/5.72 % (770781)------------------------------
% 37.42/5.72 % (770781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.42/5.72 % (770781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/5.72 % (770781)CaDiCaL version: 2.1.3
% 37.42/5.72 % (770781)Termination reason: Refutation not found, incomplete strategy
% 37.42/5.72 % (770781)Time elapsed: 0.003 s
% 37.42/5.72 % (770781)Peak memory usage: 11 MB
% 37.42/5.72 % (770781)Instructions burned: 3 (million)
% 37.42/5.72 % (770781)------------------------------
% 37.42/5.72 % (770781)------------------------------
% 37.42/5.72 % (770783)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3415211506:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/113Mi)
% 37.42/5.72 % (770783)Refutation not found, incomplete strategy
% 37.42/5.72 % (770783)------------------------------
% 37.42/5.72 % (770783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.42/5.72 % (770783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.54/5.94 % (770783)CaDiCaL version: 2.1.3
% 38.54/5.94 % (770783)Termination reason: Refutation not found, incomplete strategy
% 38.54/5.94 % (770783)Time elapsed: 0.003 s
% 38.54/5.94 % (770783)Peak memory usage: 12 MB
% 38.54/5.94 % (770783)Instructions burned: 2 (million)
% 38.54/5.94 % (770783)------------------------------
% 38.54/5.94 % (770783)------------------------------
% 38.54/5.94 % (770785)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2161558411:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2949 on theBenchmark for (2949ds/7795Mi)
% 38.54/5.94 % (770785)Refutation not found, incomplete strategy
% 38.54/5.94 % (770785)------------------------------
% 38.54/5.94 % (770785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.54/5.94 % (770785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.54/5.94 % (770785)CaDiCaL version: 2.1.3
% 38.54/5.94 % (770785)Termination reason: Refutation not found, incomplete strategy
% 38.54/5.94 % (770785)Time elapsed: 0.001 s
% 38.54/5.94 % (770785)Peak memory usage: 11 MB
% 38.54/5.94 % (770785)------------------------------
% 38.54/5.94 % (770785)------------------------------
% 38.54/5.94 % (770787)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2981316950:st=2:i=5026:sd=1:rtra=on:ss=axioms_2949 on theBenchmark for (2949ds/5026Mi)
% 38.54/5.94 % (770787)Refutation not found, incomplete strategy
% 38.54/5.94 % (770787)------------------------------
% 38.54/5.94 % (770787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.54/5.94 % (770787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.54/5.94 % (770787)CaDiCaL version: 2.1.3
% 38.54/5.94 % (770787)Termination reason: Refutation not found, incomplete strategy
% 38.54/5.94 % (770787)Time elapsed: 0.001 s
% 38.54/5.94 % (770787)Peak memory usage: 11 MB
% 38.54/5.94 % (770787)------------------------------
% 38.54/5.94 % (770787)------------------------------
% 38.54/5.94 % (770759)Instruction limit reached!
% 38.54/5.94 % (770759)------------------------------
% 38.54/5.94 % (770759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.54/5.94 % (770759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.54/5.94 % (770759)CaDiCaL version: 2.1.3
% 38.54/5.94 % (770759)Termination reason: Instruction limit
% 38.54/5.94 % (770759)Termination phase: Saturation
% 38.54/5.94 % (770759)Time elapsed: 0.623 s
% 38.54/5.94 % (770759)Peak memory usage: 14 MB
% 38.54/5.94 % (770759)Instructions burned: 842 (million)
% 38.54/5.94 % (770789)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 38.54/5.94 % (770789)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=734911775:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2948 on theBenchmark for (2948ds/763Mi)
% 38.54/5.94 % (770789)Refutation not found, incomplete strategy
% 38.54/5.94 % (770789)------------------------------
% 38.54/5.94 % (770789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.54/5.94 % (770789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.54/5.94 % (770789)CaDiCaL version: 2.1.3
% 38.54/5.94 % (770789)Termination reason: Refutation not found, incomplete strategy
% 38.54/5.94 % (770789)Time elapsed: 0.002 s
% 38.54/5.94 % (770789)Peak memory usage: 11 MB
% 38.54/5.94 % (770789)Instructions burned: 1 (million)
% 38.54/5.94 % (770789)------------------------------
% 38.54/5.94 % (770789)------------------------------
% 38.54/5.94 % (770790)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1566948977:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2948 on theBenchmark for (2948ds/1144Mi)
% 38.54/5.94 % (770790)Refutation not found, incomplete strategy
% 38.54/5.94 % (770790)------------------------------
% 38.54/5.94 % (770790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.54/5.94 % (770790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.54/5.94 % (770790)CaDiCaL version: 2.1.3
% 38.54/5.94 % (770790)Termination reason: Refutation not found, incomplete strategy
% 38.54/5.94 % (770790)Time elapsed: 0.001 s
% 38.54/5.94 % (770790)Peak memory usage: 11 MB
% 38.54/5.94 % (770790)------------------------------
% 38.54/5.94 % (770790)------------------------------
% 38.54/5.94 % (770792)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 38.54/5.94 % (770792)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=3652093988: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)
% 44.42/6.70 % (770794)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4045378795:i=1724:fsr=off:rtra=on:fe=abstraction_2948 on theBenchmark for (2948ds/1724Mi)
% 44.42/6.70 % (770792)Instruction limit reached!
% 44.42/6.70 % (770792)------------------------------
% 44.42/6.70 % (770792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.42/6.70 % (770792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.42/6.70 % (770792)CaDiCaL version: 2.1.3
% 44.42/6.70 % (770792)Termination reason: Instruction limit
% 44.42/6.70 % (770792)Termination phase: Saturation
% 44.42/6.70 % (770792)Time elapsed: 0.037 s
% 44.42/6.70 % (770792)Peak memory usage: 12 MB
% 44.42/6.70 % (770792)Instructions burned: 53 (million)
% 44.42/6.70 % (770797)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=1331620072:i=439:add=on:slsql=off:rtra=on:ntd=on_2947 on theBenchmark for (2947ds/439Mi)
% 44.42/6.70 % (770778)Instruction limit reached!
% 44.42/6.70 % (770778)------------------------------
% 44.42/6.70 % (770778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.42/6.70 % (770778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.42/6.70 % (770778)CaDiCaL version: 2.1.3
% 44.42/6.70 % (770778)Termination reason: Instruction limit
% 44.42/6.70 % (770778)Termination phase: Saturation
% 44.42/6.70 % (770778)Time elapsed: 0.347 s
% 44.42/6.70 % (770778)Peak memory usage: 14 MB
% 44.42/6.70 % (770778)Instructions burned: 1000 (million)
% 44.42/6.70 % (770775)Instruction limit reached!
% 44.42/6.70 % (770775)------------------------------
% 44.42/6.70 % (770775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.42/6.70 % (770775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.42/6.70 % (770775)CaDiCaL version: 2.1.3
% 44.42/6.70 % (770775)Termination reason: Instruction limit
% 44.42/6.70 % (770775)Termination phase: Saturation
% 44.42/6.70 % (770775)Time elapsed: 0.453 s
% 44.42/6.70 % (770775)Peak memory usage: 13 MB
% 44.42/6.70 % (770775)Instructions burned: 593 (million)
% 44.42/6.70 % (770799)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3041323783:i=6395:sd=1:rtra=on:ss=axioms_2946 on theBenchmark for (2946ds/6395Mi)
% 44.42/6.70 % (770799)Refutation not found, incomplete strategy
% 44.42/6.70 % (770799)------------------------------
% 44.42/6.70 % (770799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.42/6.70 % (770799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.42/6.70 % (770799)CaDiCaL version: 2.1.3
% 44.42/6.70 % (770799)Termination reason: Refutation not found, incomplete strategy
% 44.42/6.70 % (770799)Time elapsed: 0.001 s
% 44.42/6.70 % (770799)Peak memory usage: 11 MB
% 44.42/6.70 % (770799)Instructions burned: 1 (million)
% 44.42/6.70 % (770799)------------------------------
% 44.42/6.70 % (770799)------------------------------
% 44.42/6.70 % (770800)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 44.42/6.70 % (770802)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 44.42/6.70 % (770802)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=1063885217:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2946 on theBenchmark for (2946ds/376Mi)
% 44.42/6.70 % (770800)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2977735018:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2946 on theBenchmark for (2946ds/6762Mi)
% 44.42/6.70 % (770800)Refutation not found, incomplete strategy
% 44.42/6.70 % (770800)------------------------------
% 44.42/6.70 % (770800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.42/6.70 % (770800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.42/6.70 % (770800)CaDiCaL version: 2.1.3
% 44.42/6.70 % (770800)Termination reason: Refutation not found, incomplete strategy
% 44.42/6.70 % (770800)Time elapsed: 0.001 s
% 44.42/6.70 % (770800)Peak memory usage: 11 MB
% 44.42/6.70 % (770800)------------------------------
% 44.42/6.70 % (770800)------------------------------
% 44.42/6.70 % (770805)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=3485288545:i=965:bd=all:ins=4:rtra=on_2946 on theBenchmark for (2946ds/965Mi)
% 46.17/7.01 % (770797)Instruction limit reached!
% 46.17/7.01 % (770797)------------------------------
% 46.17/7.01 % (770797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.17/7.01 % (770797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.01 % (770797)CaDiCaL version: 2.1.3
% 46.17/7.01 % (770797)Termination reason: Instruction limit
% 46.17/7.01 % (770797)Termination phase: Saturation
% 46.17/7.01 % (770797)Time elapsed: 0.255 s
% 46.17/7.01 % (770797)Peak memory usage: 12 MB
% 46.17/7.01 % (770797)Instructions burned: 440 (million)
% 46.17/7.01 % (770802)Instruction limit reached!
% 46.17/7.01 % (770802)------------------------------
% 46.17/7.01 % (770802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.17/7.01 % (770802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.01 % (770802)CaDiCaL version: 2.1.3
% 46.17/7.01 % (770802)Termination reason: Instruction limit
% 46.17/7.01 % (770802)Termination phase: Saturation
% 46.17/7.01 % (770802)Time elapsed: 0.163 s
% 46.17/7.01 % (770802)Peak memory usage: 14 MB
% 46.17/7.01 % (770802)Instructions burned: 377 (million)
% 46.17/7.01 % (770808)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1741555893:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2944 on theBenchmark for (2944ds/1583Mi)
% 46.17/7.01 % (770807)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3531621572:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2944 on theBenchmark for (2944ds/5013Mi)
% 46.17/7.01 % (770807)Refutation not found, incomplete strategy
% 46.17/7.01 % (770807)------------------------------
% 46.17/7.01 % (770807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.17/7.01 % (770807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.01 % (770807)CaDiCaL version: 2.1.3
% 46.17/7.01 % (770807)Termination reason: Refutation not found, incomplete strategy
% 46.17/7.01 % (770807)Time elapsed: 0.001 s
% 46.17/7.01 % (770807)Peak memory usage: 11 MB
% 46.17/7.01 % (770807)Instructions burned: 1 (million)
% 46.17/7.01 % (770807)------------------------------
% 46.17/7.01 % (770807)------------------------------
% 46.17/7.01 % (770811)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 46.17/7.01 % (770811)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 46.17/7.01 % (770811)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
% 46.17/7.01 % (770811)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 46.17/7.01 % (770811)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=1854463389: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_2944 on theBenchmark for (2944ds/1774Mi)
% 46.17/7.01 % (770811)Refutation not found, incomplete strategy
% 46.17/7.01 % (770811)------------------------------
% 46.17/7.01 % (770811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.17/7.01 % (770811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.01 % (770811)CaDiCaL version: 2.1.3
% 46.17/7.01 % (770811)Termination reason: Refutation not found, incomplete strategy
% 46.17/7.01 % (770811)Time elapsed: 0.001 s
% 46.17/7.01 % (770811)Peak memory usage: 11 MB
% 46.17/7.01 % (770811)------------------------------
% 46.17/7.01 % (770811)------------------------------
% 46.17/7.01 % (770813)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1479212396:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/515Mi)
% 46.17/7.01 % (770813)Refutation not found, incomplete strategy
% 46.17/7.01 % (770813)------------------------------
% 46.17/7.01 % (770813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.17/7.01 % (770813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.01 % (770813)CaDiCaL version: 2.1.3
% 46.17/7.01 % (770813)Termination reason: Refutation not found, incomplete strategy
% 50.22/7.59 % (770813)Time elapsed: 0.002 s
% 50.22/7.59 % (770813)Peak memory usage: 12 MB
% 50.22/7.59 % (770813)Instructions burned: 1 (million)
% 50.22/7.59 % (770813)------------------------------
% 50.22/7.59 % (770813)------------------------------
% 50.22/7.59 % (770815)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
% 50.22/7.59 % (770815)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=4253720502:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2943 on theBenchmark for (2943ds/1297Mi)
% 50.22/7.59 % (770805)Instruction limit reached!
% 50.22/7.59 % (770805)------------------------------
% 50.22/7.59 % (770805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.59 % (770805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.59 % (770805)CaDiCaL version: 2.1.3
% 50.22/7.59 % (770805)Termination reason: Instruction limit
% 50.22/7.59 % (770805)Termination phase: Saturation
% 50.22/7.59 % (770805)Time elapsed: 0.711 s
% 50.22/7.59 % (770805)Peak memory usage: 16 MB
% 50.22/7.59 % (770805)Instructions burned: 965 (million)
% 50.22/7.59 % (770817)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=1332499507:s2a=on:i=611:rtra=on:gsp=on_2938 on theBenchmark for (2938ds/611Mi)
% 50.22/7.59 % (770817)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 50.22/7.59 % (770808)Instruction limit reached!
% 50.22/7.59 % (770808)------------------------------
% 50.22/7.59 % (770808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.59 % (770808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.59 % (770808)CaDiCaL version: 2.1.3
% 50.22/7.59 % (770808)Termination reason: Instruction limit
% 50.22/7.59 % (770808)Termination phase: Saturation
% 50.22/7.59 % (770808)Time elapsed: 0.603 s
% 50.22/7.59 % (770808)Peak memory usage: 13 MB
% 50.22/7.59 % (770808)Instructions burned: 1583 (million)
% 50.22/7.59 % (770819)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 50.22/7.59 % (770819)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3119262733:i=72:bd=all:rtra=on_2938 on theBenchmark for (2938ds/72Mi)
% 50.22/7.59 % (770819)Refutation not found, incomplete strategy
% 50.22/7.59 % (770819)------------------------------
% 50.22/7.59 % (770819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.59 % (770819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.59 % (770819)CaDiCaL version: 2.1.3
% 50.22/7.59 % (770819)Termination reason: Refutation not found, incomplete strategy
% 50.22/7.59 % (770819)Time elapsed: 0.001 s
% 50.22/7.59 % (770819)Peak memory usage: 12 MB
% 50.22/7.59 % (770819)Instructions burned: 2 (million)
% 50.22/7.59 % (770819)------------------------------
% 50.22/7.59 % (770819)------------------------------
% 50.22/7.59 % (770821)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=903461339:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2938 on theBenchmark for (2938ds/6580Mi)
% 50.22/7.59 % (770794)Instruction limit reached!
% 50.22/7.59 % (770794)------------------------------
% 50.22/7.59 % (770794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.59 % (770794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.59 % (770794)CaDiCaL version: 2.1.3
% 50.22/7.59 % (770794)Termination reason: Instruction limit
% 50.22/7.59 % (770794)Termination phase: Saturation
% 50.22/7.59 % (770794)Time elapsed: 1.146 s
% 50.22/7.59 % (770794)Peak memory usage: 13 MB
% 50.22/7.59 % (770794)Instructions burned: 1725 (million)
% 50.22/7.59 % (770823)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1401068376:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/6209Mi)
% 50.22/7.59 % (770823)Refutation not found, incomplete strategy
% 50.22/7.59 % (770823)------------------------------
% 50.22/7.59 % (770823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.59 % (770823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.12 % (770823)CaDiCaL version: 2.1.3
% 52.11/8.12 % (770823)Termination reason: Refutation not found, incomplete strategy
% 52.11/8.12 % (770823)Time elapsed: 0.001 s
% 52.11/8.12 % (770823)Peak memory usage: 11 MB
% 52.11/8.12 % (770823)Instructions burned: 1 (million)
% 52.11/8.12 % (770823)------------------------------
% 52.11/8.12 % (770823)------------------------------
% 52.11/8.12 % (770825)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2918201540:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2936 on theBenchmark for (2936ds/1003Mi)
% 52.11/8.12 % (770815)Instruction limit reached!
% 52.11/8.12 % (770815)------------------------------
% 52.11/8.12 % (770815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.11/8.12 % (770815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.12 % (770815)CaDiCaL version: 2.1.3
% 52.11/8.12 % (770815)Termination reason: Instruction limit
% 52.11/8.12 % (770815)Termination phase: Saturation
% 52.11/8.12 % (770815)Time elapsed: 0.958 s
% 52.11/8.12 % (770815)Peak memory usage: 13 MB
% 52.11/8.12 % (770815)Instructions burned: 1298 (million)
% 52.11/8.12 % (770546)Instruction limit reached!
% 52.11/8.12 % (770546)------------------------------
% 52.11/8.12 % (770546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.11/8.12 % (770546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.12 % (770546)CaDiCaL version: 2.1.3
% 52.11/8.12 % (770546)Termination reason: Instruction limit
% 52.11/8.12 % (770546)Termination phase: Saturation
% 52.11/8.12 % (770546)Time elapsed: 5.610 s
% 52.11/8.12 % (770546)Peak memory usage: 18 MB
% 52.11/8.12 % (770546)Instructions burned: 9840 (million)
% 52.11/8.12 % (770817)Instruction limit reached!
% 52.11/8.12 % (770817)------------------------------
% 52.11/8.12 % (770817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.11/8.12 % (770817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.12 % (770817)CaDiCaL version: 2.1.3
% 52.11/8.12 % (770817)Termination reason: Instruction limit
% 52.11/8.12 % (770817)Termination phase: Saturation
% 52.11/8.12 % (770817)Time elapsed: 0.485 s
% 52.11/8.12 % (770817)Peak memory usage: 13 MB
% 52.11/8.12 % (770817)Instructions burned: 612 (million)
% 52.11/8.12 % (770827)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 52.11/8.12 % (770827)ott+1002_16_sil=128000:si=on:random_seed=3859444090:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2933 on theBenchmark for (2933ds/409Mi)
% 52.11/8.12 % (770828)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=3720886981:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2933 on theBenchmark for (2933ds/403Mi)
% 52.11/8.12 % (770829)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=869550053:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2933 on theBenchmark for (2933ds/6843Mi)
% 52.11/8.12 % (770828)Refutation not found, incomplete strategy
% 52.11/8.12 % (770828)------------------------------
% 52.11/8.12 % (770828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.11/8.12 % (770828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.12 % (770828)CaDiCaL version: 2.1.3
% 52.11/8.12 % (770828)Termination reason: Refutation not found, incomplete strategy
% 52.11/8.12 % (770828)Time elapsed: 0.002 s
% 52.11/8.12 % (770828)Peak memory usage: 11 MB
% 52.11/8.12 % (770828)Instructions burned: 1 (million)
% 52.11/8.12 % (770829)Refutation not found, incomplete strategy
% 52.11/8.12 % (770829)------------------------------
% 52.11/8.12 % (770829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.11/8.12 % (770829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.12 % (770829)CaDiCaL version: 2.1.3
% 52.11/8.12 % (770829)Termination reason: Refutation not found, incomplete strategy
% 52.11/8.12 % (770829)Time elapsed: 0.002 s
% 52.11/8.12 % (770829)Peak memory usage: 11 MB
% 52.11/8.12 % (770829)Instructions burned: 1 (million)
% 52.11/8.12 % (770828)------------------------------
% 52.11/8.12 % (770828)------------------------------
% 52.11/8.12 % (770829)------------------------------
% 52.11/8.12 % (770829)------------------------------
% 52.11/8.12 % (770833)lrs+10_2:1_si=on:random_seed=2330997492:s2a=on:i=506:rtra=on:fe=abstraction_2933 on theBenchmark for (2933ds/506Mi)
% 52.11/8.12 % (770834)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=2242004780:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2933 on theBenchmark for (2933ds/888Mi)
% 56.52/8.45 % (770827)Instruction limit reached!
% 56.52/8.45 % (770827)------------------------------
% 56.52/8.45 % (770827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.52/8.45 % (770827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.52/8.45 % (770827)CaDiCaL version: 2.1.3
% 56.52/8.45 % (770827)Termination reason: Instruction limit
% 56.52/8.45 % (770827)Termination phase: Saturation
% 56.52/8.45 % (770827)Time elapsed: 0.253 s
% 56.52/8.45 % (770827)Peak memory usage: 13 MB
% 56.52/8.45 % (770827)Instructions burned: 410 (million)
% 56.52/8.45 % (770837)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 56.52/8.45 % (770837)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=239633670:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2931 on theBenchmark for (2931ds/416Mi)
% 56.52/8.45 % (770833)Instruction limit reached!
% 56.52/8.45 % (770833)------------------------------
% 56.52/8.45 % (770833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.52/8.45 % (770833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.52/8.45 % (770833)CaDiCaL version: 2.1.3
% 56.52/8.45 % (770833)Termination reason: Instruction limit
% 56.52/8.45 % (770833)Termination phase: Saturation
% 56.52/8.45 % (770833)Time elapsed: 0.381 s
% 56.52/8.45 % (770833)Peak memory usage: 13 MB
% 56.52/8.45 % (770833)Instructions burned: 506 (million)
% 56.52/8.45 % (770839)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=1654375538: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_2929 on theBenchmark for (2929ds/13534Mi)
% 56.52/8.45 % (770839)Refutation not found, incomplete strategy
% 56.52/8.45 % (770839)------------------------------
% 56.52/8.45 % (770839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.52/8.45 % (770839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.52/8.45 % (770839)CaDiCaL version: 2.1.3
% 56.52/8.45 % (770839)Termination reason: Refutation not found, incomplete strategy
% 56.52/8.45 % (770839)Time elapsed: 0.002 s
% 56.52/8.45 % (770839)Peak memory usage: 11 MB
% 56.52/8.45 % (770839)Instructions burned: 1 (million)
% 56.52/8.45 % (770825)Instruction limit reached!
% 56.52/8.45 % (770825)------------------------------
% 56.52/8.45 % (770825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.52/8.45 % (770825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.52/8.45 % (770825)CaDiCaL version: 2.1.3
% 56.52/8.45 % (770825)Termination reason: Instruction limit
% 56.52/8.45 % (770825)Termination phase: Saturation
% 56.52/8.45 % (770825)Time elapsed: 0.695 s
% 56.52/8.45 % (770825)Peak memory usage: 13 MB
% 56.52/8.45 % (770825)Instructions burned: 1003 (million)
% 56.52/8.45 % (770839)------------------------------
% 56.52/8.45 % (770839)------------------------------
% 56.52/8.45 % (770841)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 56.52/8.45 % (770841)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2573417602:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2928 on theBenchmark for (2928ds/206Mi)
% 56.52/8.45 % (770842)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=358732641:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2928 on theBenchmark for (2928ds/2295Mi)
% 56.52/8.45 % (770837)Instruction limit reached!
% 56.52/8.45 % (770837)------------------------------
% 56.52/8.45 % (770837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.52/8.45 % (770837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.52/8.45 % (770837)CaDiCaL version: 2.1.3
% 56.52/8.45 % (770837)Termination reason: Instruction limit
% 56.52/8.45 % (770837)Termination phase: Saturation
% 56.52/8.45 % (770837)Time elapsed: 0.343 s
% 56.52/8.45 % (770837)Peak memory usage: 14 MB
% 62.37/9.19 % (770837)Instructions burned: 417 (million)
% 62.37/9.19 % (770841)Instruction limit reached!
% 62.37/9.19 % (770841)------------------------------
% 62.37/9.19 % (770841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.37/9.19 % (770841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.37/9.19 % (770841)CaDiCaL version: 2.1.3
% 62.37/9.19 % (770841)Termination reason: Instruction limit
% 62.37/9.19 % (770841)Termination phase: Saturation
% 62.37/9.19 % (770841)Time elapsed: 0.152 s
% 62.37/9.19 % (770841)Peak memory usage: 12 MB
% 62.37/9.19 % (770841)Instructions burned: 206 (million)
% 62.37/9.19 % (770845)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3548410886:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2927 on theBenchmark for (2927ds/637Mi)
% 62.37/9.19 % (770730)Instruction limit reached!
% 62.37/9.19 % (770730)------------------------------
% 62.37/9.19 % (770730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.37/9.19 % (770730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.37/9.19 % (770730)CaDiCaL version: 2.1.3
% 62.37/9.19 % (770730)Termination reason: Instruction limit
% 62.37/9.19 % (770730)Termination phase: Saturation
% 62.37/9.19 % (770730)Time elapsed: 3.364 s
% 62.37/9.19 % (770730)Peak memory usage: 16 MB
% 62.37/9.19 % (770730)Instructions burned: 4386 (million)
% 62.37/9.19 % (770846)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1066154365:hsq=on:i=667:rtra=on:ixr=off_2927 on theBenchmark for (2927ds/667Mi)
% 62.37/9.19 % (770848)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=1810718886:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2926 on theBenchmark for (2926ds/1801Mi)
% 62.37/9.19 % (770834)Instruction limit reached!
% 62.37/9.19 % (770834)------------------------------
% 62.37/9.19 % (770834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.37/9.19 % (770834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.37/9.19 % (770834)CaDiCaL version: 2.1.3
% 62.37/9.19 % (770834)Termination reason: Instruction limit
% 62.37/9.19 % (770834)Termination phase: Saturation
% 62.37/9.19 % (770834)Time elapsed: 0.657 s
% 62.37/9.19 % (770834)Peak memory usage: 13 MB
% 62.37/9.19 % (770834)Instructions burned: 889 (million)
% 62.37/9.19 % (770851)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=4054108754:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2926 on theBenchmark for (2926ds/555Mi)
% 62.37/9.19 % (770846)Instruction limit reached!
% 62.37/9.19 % (770846)------------------------------
% 62.37/9.19 % (770846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.37/9.19 % (770846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.37/9.19 % (770846)CaDiCaL version: 2.1.3
% 62.37/9.19 % (770846)Termination reason: Instruction limit
% 62.37/9.19 % (770846)Termination phase: Saturation
% 62.37/9.19 % (770846)Time elapsed: 0.438 s
% 62.37/9.19 % (770846)Peak memory usage: 12 MB
% 62.37/9.19 % (770846)Instructions burned: 668 (million)
% 62.37/9.19 % (770845)Instruction limit reached!
% 62.37/9.19 % (770845)------------------------------
% 62.37/9.19 % (770845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.37/9.19 % (770845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.37/9.19 % (770845)CaDiCaL version: 2.1.3
% 62.37/9.19 % (770845)Termination reason: Instruction limit
% 62.37/9.19 % (770845)Termination phase: Saturation
% 62.37/9.19 % (770845)Time elapsed: 0.485 s
% 62.37/9.19 % (770845)Peak memory usage: 14 MB
% 62.37/9.19 % (770845)Instructions burned: 638 (million)
% 62.37/9.19 % (770853)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=266688643:i=88:s2at=3:nm=2:rtra=on:rawr=on_2922 on theBenchmark for (2922ds/88Mi)
% 62.37/9.19 % (770851)Instruction limit reached!
% 62.37/9.19 % (770851)------------------------------
% 62.37/9.19 % (770851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.37/9.19 % (770851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.37/9.19 % (770851)CaDiCaL version: 2.1.3
% 62.37/9.19 % (770851)Termination reason: Instruction limit
% 62.37/9.19 % (770851)Termination phase: Saturation
% 62.37/9.19 % (770851)Time elapsed: 0.419 s
% 62.37/9.19 % (770851)Peak memory usage: 11 MB
% 62.37/9.19 % (770851)Instructions burned: 556 (million)
% 65.07/9.65 % (770854)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2563115250:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2922 on theBenchmark for (2922ds/280Mi)
% 65.07/9.65 % (770856)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=2046990335:s2a=on:i=3166:bd=preordered:rtra=on_2921 on theBenchmark for (2921ds/3166Mi)
% 65.07/9.65 % (770853)Instruction limit reached!
% 65.07/9.65 % (770853)------------------------------
% 65.07/9.65 % (770853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.07/9.65 % (770853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.07/9.65 % (770853)CaDiCaL version: 2.1.3
% 65.07/9.65 % (770853)Termination reason: Instruction limit
% 65.07/9.65 % (770853)Termination phase: Saturation
% 65.07/9.65 % (770853)Time elapsed: 0.065 s
% 65.07/9.65 % (770853)Peak memory usage: 12 MB
% 65.07/9.65 % (770853)Instructions burned: 88 (million)
% 65.07/9.65 % (770859)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 65.07/9.65 % (770859)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=3899270202:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2921 on theBenchmark for (2921ds/4201Mi)
% 65.07/9.65 % (770859)Refutation not found, incomplete strategy
% 65.07/9.65 % (770859)------------------------------
% 65.07/9.65 % (770859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.07/9.65 % (770859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.07/9.65 % (770859)CaDiCaL version: 2.1.3
% 65.07/9.65 % (770859)Termination reason: Refutation not found, incomplete strategy
% 65.07/9.65 % (770859)Time elapsed: 0.004 s
% 65.07/9.65 % (770859)Peak memory usage: 12 MB
% 65.07/9.65 % (770859)Instructions burned: 3 (million)
% 65.07/9.65 % (770859)------------------------------
% 65.07/9.65 % (770859)------------------------------
% 65.07/9.65 % (770861)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3904672041:i=2352:rtra=on:ixr=off_2920 on theBenchmark for (2920ds/2352Mi)
% 65.07/9.65 % (770854)Instruction limit reached!
% 65.07/9.65 % (770854)------------------------------
% 65.07/9.65 % (770854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.07/9.65 % (770854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.07/9.65 % (770854)CaDiCaL version: 2.1.3
% 65.07/9.65 % (770854)Termination reason: Instruction limit
% 65.07/9.65 % (770854)Termination phase: Saturation
% 65.07/9.65 % (770854)Time elapsed: 0.233 s
% 65.07/9.65 % (770854)Peak memory usage: 12 MB
% 65.07/9.65 % (770854)Instructions burned: 280 (million)
% 65.07/9.65 % (770863)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 65.07/9.65 % (770863)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=3899003157:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2919 on theBenchmark for (2919ds/452Mi)
% 65.07/9.65 % (770863)Refutation not found, incomplete strategy
% 65.07/9.65 % (770863)------------------------------
% 65.07/9.65 % (770863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.07/9.65 % (770863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.07/9.65 % (770863)CaDiCaL version: 2.1.3
% 65.07/9.65 % (770863)Termination reason: Refutation not found, incomplete strategy
% 65.07/9.65 % (770863)Time elapsed: 0.002 s
% 65.07/9.65 % (770863)Peak memory usage: 11 MB
% 65.07/9.65 % (770863)Instructions burned: 1 (million)
% 65.07/9.65 % (770863)------------------------------
% 65.07/9.65 % (770863)------------------------------
% 65.07/9.65 % (770865)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 65.07/9.65 % (770865)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 65.07/9.65 % (770865)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=1987488510:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2919 on theBenchmark for (2919ds/483Mi)
% 65.07/9.65 % (770865)Refutation not found, incomplete strategy
% 65.07/9.65 % (770865)------------------------------
% 67.58/10.07 % (770865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.58/10.07 % (770865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.58/10.07 % (770865)CaDiCaL version: 2.1.3
% 67.58/10.07 % (770865)Termination reason: Refutation not found, incomplete strategy
% 67.58/10.07 % (770865)Time elapsed: 0.001 s
% 67.58/10.07 % (770865)Peak memory usage: 12 MB
% 67.58/10.07 % (770865)Instructions burned: 1 (million)
% 67.58/10.07 % (770865)------------------------------
% 67.58/10.07 % (770865)------------------------------
% 67.58/10.07 % (770867)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1682245663:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2918 on theBenchmark for (2918ds/168Mi)
% 67.58/10.07 % (770867)Instruction limit reached!
% 67.58/10.07 % (770867)------------------------------
% 67.58/10.07 % (770867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.58/10.07 % (770867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.58/10.07 % (770867)CaDiCaL version: 2.1.3
% 67.58/10.07 % (770867)Termination reason: Instruction limit
% 67.58/10.07 % (770867)Termination phase: Saturation
% 67.58/10.07 % (770867)Time elapsed: 0.136 s
% 67.58/10.07 % (770867)Peak memory usage: 12 MB
% 67.58/10.07 % (770867)Instructions burned: 168 (million)
% 67.58/10.07 % (770696)Instruction limit reached!
% 67.58/10.07 % (770696)------------------------------
% 67.58/10.07 % (770696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.58/10.07 % (770696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.58/10.07 % (770696)CaDiCaL version: 2.1.3
% 67.58/10.07 % (770696)Termination reason: Instruction limit
% 67.58/10.07 % (770696)Termination phase: Saturation
% 67.58/10.07 % (770696)Time elapsed: 5.143 s
% 67.58/10.07 % (770696)Peak memory usage: 23 MB
% 67.58/10.07 % (770696)Instructions burned: 6359 (million)
% 67.58/10.07 % (770869)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=1521797688: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_2917 on theBenchmark for (2917ds/17240Mi)
% 67.58/10.07 % (770870)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2797654204:i=2022:fsr=off:rtra=on:ixr=off_2916 on theBenchmark for (2916ds/2022Mi)
% 67.58/10.07 % (770842)Instruction limit reached!
% 67.58/10.07 % (770842)------------------------------
% 67.58/10.07 % (770842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.58/10.07 % (770842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.58/10.07 % (770842)CaDiCaL version: 2.1.3
% 67.58/10.07 % (770842)Termination reason: Instruction limit
% 67.58/10.07 % (770842)Termination phase: Saturation
% 67.58/10.07 % (770842)Time elapsed: 1.416 s
% 67.58/10.07 % (770842)Peak memory usage: 13 MB
% 67.58/10.07 % (770842)Instructions burned: 2296 (million)
% 67.58/10.07 % (770873)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=3179492953:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2914 on theBenchmark for (2914ds/2274Mi)
% 67.58/10.07 % (770848)Instruction limit reached!
% 67.58/10.07 % (770848)------------------------------
% 67.58/10.07 % (770848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.58/10.07 % (770848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.58/10.07 % (770848)CaDiCaL version: 2.1.3
% 67.58/10.07 % (770848)Termination reason: Instruction limit
% 67.58/10.07 % (770848)Termination phase: Saturation
% 67.58/10.07 % (770848)Time elapsed: 1.476 s
% 67.58/10.07 % (770848)Peak memory usage: 20 MB
% 67.58/10.07 % (770848)Instructions burned: 1802 (million)
% 67.58/10.07 % (770875)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1403897826:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2911 on theBenchmark for (2911ds/555Mi)
% 67.58/10.07 % (770821)Instruction limit reached!
% 67.58/10.07 % (770821)------------------------------
% 67.58/10.07 % (770821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.58/10.07 % (770821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.58/10.07 % (770821)CaDiCaL version: 2.1.3
% 67.58/10.07 % (770821)Termination reason: Instruction limit
% 70.20/10.37 % (770821)Termination phase: Saturation
% 70.20/10.37 % (770821)Time elapsed: 2.683 s
% 70.20/10.37 % (770821)Peak memory usage: 31 MB
% 70.20/10.37 % (770821)Instructions burned: 6580 (million)
% 70.20/10.37 % (770877)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=1607217027:avsq=on:i=2220:rtra=on_2911 on theBenchmark for (2911ds/2220Mi)
% 70.20/10.37 % (770875)Instruction limit reached!
% 70.20/10.37 % (770875)------------------------------
% 70.20/10.37 % (770875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.20/10.37 % (770875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.20/10.37 % (770875)CaDiCaL version: 2.1.3
% 70.20/10.37 % (770875)Termination reason: Instruction limit
% 70.20/10.37 % (770875)Termination phase: Saturation
% 70.20/10.37 % (770875)Time elapsed: 0.326 s
% 70.20/10.37 % (770875)Peak memory usage: 13 MB
% 70.20/10.37 % (770875)Instructions burned: 556 (million)
% 70.20/10.37 % (770879)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1758267607:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2908 on theBenchmark for (2908ds/715Mi)
% 70.20/10.37 % (770879)Refutation not found, incomplete strategy
% 70.20/10.37 % (770879)------------------------------
% 70.20/10.37 % (770879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.20/10.37 % (770879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.20/10.37 % (770879)CaDiCaL version: 2.1.3
% 70.20/10.37 % (770879)Termination reason: Refutation not found, incomplete strategy
% 70.20/10.37 % (770879)Time elapsed: 0.002 s
% 70.20/10.37 % (770879)Peak memory usage: 11 MB
% 70.20/10.37 % (770879)Instructions burned: 1 (million)
% 70.20/10.37 % (770879)------------------------------
% 70.20/10.37 % (770879)------------------------------
% 70.20/10.37 % (770881)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
% 70.20/10.37 % (770881)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=3103000779:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2907 on theBenchmark for (2907ds/1979Mi)
% 70.20/10.37 % (770881)Refutation not found, incomplete strategy
% 70.20/10.37 % (770881)------------------------------
% 70.20/10.37 % (770881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.20/10.37 % (770881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.20/10.37 % (770881)CaDiCaL version: 2.1.3
% 70.20/10.37 % (770881)Termination reason: Refutation not found, incomplete strategy
% 70.20/10.37 % (770881)Time elapsed: 0.002 s
% 70.20/10.37 % (770881)Peak memory usage: 11 MB
% 70.20/10.37 % (770881)Instructions burned: 1 (million)
% 70.20/10.37 % (770881)------------------------------
% 70.20/10.37 % (770881)------------------------------
% 70.20/10.37 % (770883)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1439338330:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2907 on theBenchmark for (2907ds/28911Mi)
% 70.20/10.37 % (770883)Refutation not found, incomplete strategy
% 70.20/10.37 % (770883)------------------------------
% 70.20/10.37 % (770883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.20/10.37 % (770883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.20/10.37 % (770883)CaDiCaL version: 2.1.3
% 70.20/10.37 % (770883)Termination reason: Refutation not found, incomplete strategy
% 70.20/10.37 % (770883)Time elapsed: 0.001 s
% 70.20/10.37 % (770883)Peak memory usage: 11 MB
% 70.20/10.37 % (770883)Instructions burned: 1 (million)
% 70.20/10.37 % (770883)------------------------------
% 70.20/10.37 % (770883)------------------------------
% 70.20/10.37 % (770885)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=3754552965:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2907 on theBenchmark for (2907ds/414Mi)
% 70.20/10.37 % (770885)Refutation not found, incomplete strategy
% 70.20/10.37 % (770885)------------------------------
% 70.20/10.37 % (770885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.20/10.37 % (770885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.20/10.37 % (770885)CaDiCaL version: 2.1.3
% 70.20/10.37 % (770885)Termination reason: Refutation not found, incomplete strategy
% 70.20/10.37 % (770885)Time elapsed: 0.004 s
% 70.20/10.37 % (770885)Peak memory usage: 12 MB
% 70.20/10.37 % (770885)Instructions burned: 3 (million)
% 72.65/10.82 % (770885)------------------------------
% 72.65/10.82 % (770885)------------------------------
% 72.65/10.82 % (770887)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3648377962:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2906 on theBenchmark for (2906ds/429Mi)
% 72.65/10.82 % (770861)Instruction limit reached!
% 72.65/10.82 % (770861)------------------------------
% 72.65/10.82 % (770861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.65/10.82 % (770861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.65/10.82 % (770861)CaDiCaL version: 2.1.3
% 72.65/10.82 % (770861)Termination reason: Instruction limit
% 72.65/10.82 % (770861)Termination phase: Saturation
% 72.65/10.82 % (770861)Time elapsed: 1.458 s
% 72.65/10.82 % (770861)Peak memory usage: 13 MB
% 72.65/10.82 % (770861)Instructions burned: 2352 (million)
% 72.65/10.82 % (770889)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 72.65/10.82 % (770889)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2123686587:lrd=on:i=841:nm=0:rtra=on_2906 on theBenchmark for (2906ds/841Mi)
% 72.65/10.82 % (770877)Instruction limit reached!
% 72.65/10.82 % (770877)------------------------------
% 72.65/10.82 % (770877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.65/10.82 % (770877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.65/10.82 % (770877)CaDiCaL version: 2.1.3
% 72.65/10.82 % (770877)Termination reason: Instruction limit
% 72.65/10.82 % (770877)Termination phase: Saturation
% 72.65/10.82 % (770877)Time elapsed: 0.633 s
% 72.65/10.82 % (770877)Peak memory usage: 13 MB
% 72.65/10.82 % (770877)Instructions burned: 2223 (million)
% 72.65/10.82 % (770891)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1016709:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2904 on theBenchmark for (2904ds/445Mi)
% 72.65/10.82 % (770887)Instruction limit reached!
% 72.65/10.82 % (770887)------------------------------
% 72.65/10.82 % (770887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.65/10.82 % (770887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.65/10.82 % (770887)CaDiCaL version: 2.1.3
% 72.65/10.82 % (770887)Termination reason: Instruction limit
% 72.65/10.82 % (770887)Termination phase: Saturation
% 72.65/10.82 % (770887)Time elapsed: 0.337 s
% 72.65/10.82 % (770887)Peak memory usage: 12 MB
% 72.65/10.82 % (770887)Instructions burned: 429 (million)
% 72.65/10.82 % (770893)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=3035725533:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2902 on theBenchmark for (2902ds/1324Mi)
% 72.65/10.82 % (770893)Refutation not found, incomplete strategy
% 72.65/10.82 % (770893)------------------------------
% 72.65/10.82 % (770893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.65/10.82 % (770893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.65/10.82 % (770893)CaDiCaL version: 2.1.3
% 72.65/10.82 % (770893)Termination reason: Refutation not found, incomplete strategy
% 72.65/10.82 % (770893)Time elapsed: 0.003 s
% 72.65/10.82 % (770893)Peak memory usage: 12 MB
% 72.65/10.82 % (770893)Instructions burned: 2 (million)
% 72.65/10.82 % (770891)Instruction limit reached!
% 72.65/10.82 % (770891)------------------------------
% 72.65/10.82 % (770891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.65/10.82 % (770891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.65/10.82 % (770891)CaDiCaL version: 2.1.3
% 72.65/10.82 % (770891)Termination reason: Instruction limit
% 72.65/10.82 % (770891)Termination phase: Saturation
% 72.65/10.82 % (770891)Time elapsed: 0.196 s
% 72.65/10.82 % (770891)Peak memory usage: 15 MB
% 72.65/10.82 % (770891)Instructions burned: 445 (million)
% 72.65/10.82 % (770893)------------------------------
% 72.65/10.82 % (770893)------------------------------
% 72.65/10.82 % (770895)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=218733276:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2902 on theBenchmark for (2902ds/5401Mi)
% 72.65/10.82 % (770895)Refutation not found, incomplete strategy
% 72.65/10.82 % (770895)------------------------------
% 72.65/10.82 % (770895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.65/10.82 % (770895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.69/11.58 % (770895)CaDiCaL version: 2.1.3
% 78.69/11.58 % (770895)Termination reason: Refutation not found, incomplete strategy
% 78.69/11.58 % (770895)Time elapsed: 0.0000 s
% 78.69/11.58 % (770895)Peak memory usage: 11 MB
% 78.69/11.58 % (770895)------------------------------
% 78.69/11.58 % (770895)------------------------------
% 78.69/11.58 % (770896)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3290390060:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2902 on theBenchmark for (2902ds/4070Mi)
% 78.69/11.58 % (770898)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=944005244:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2902 on theBenchmark for (2902ds/984Mi)
% 78.69/11.58 % (770898)Refutation not found, incomplete strategy
% 78.69/11.58 % (770898)------------------------------
% 78.69/11.58 % (770898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.69/11.58 % (770898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.69/11.58 % (770898)CaDiCaL version: 2.1.3
% 78.69/11.58 % (770898)Termination reason: Refutation not found, incomplete strategy
% 78.69/11.58 % (770898)Time elapsed: 0.001 s
% 78.69/11.58 % (770898)Peak memory usage: 12 MB
% 78.69/11.58 % (770898)Instructions burned: 2 (million)
% 78.69/11.58 % (770898)------------------------------
% 78.69/11.58 % (770898)------------------------------
% 78.69/11.58 % (770901)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2949294023:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2902 on theBenchmark for (2902ds/112Mi)
% 78.69/11.58 % (770901)Refutation not found, incomplete strategy
% 78.69/11.58 % (770901)------------------------------
% 78.69/11.58 % (770901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.69/11.58 % (770901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.69/11.58 % (770901)CaDiCaL version: 2.1.3
% 78.69/11.58 % (770901)Termination reason: Refutation not found, incomplete strategy
% 78.69/11.58 % (770901)Time elapsed: 0.001 s
% 78.69/11.58 % (770901)Peak memory usage: 12 MB
% 78.69/11.58 % (770901)Instructions burned: 2 (million)
% 78.69/11.58 % (770901)------------------------------
% 78.69/11.58 % (770901)------------------------------
% 78.69/11.58 % (770903)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=901955715:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2902 on theBenchmark for (2902ds/1144Mi)
% 78.69/11.58 % (770903)Refutation not found, incomplete strategy
% 78.69/11.58 % (770903)------------------------------
% 78.69/11.58 % (770903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.69/11.58 % (770903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.69/11.58 % (770903)CaDiCaL version: 2.1.3
% 78.69/11.58 % (770903)Termination reason: Refutation not found, incomplete strategy
% 78.69/11.58 % (770903)Time elapsed: 0.001 s
% 78.69/11.58 % (770903)Peak memory usage: 11 MB
% 78.69/11.58 % (770903)------------------------------
% 78.69/11.58 % (770903)------------------------------
% 78.69/11.58 % (770905)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=2066776244:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2901 on theBenchmark for (2901ds/1352Mi)
% 78.69/11.58 % (770870)Instruction limit reached!
% 78.69/11.58 % (770870)------------------------------
% 78.69/11.58 % (770870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.69/11.58 % (770870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.69/11.58 % (770870)CaDiCaL version: 2.1.3
% 78.69/11.58 % (770870)Termination reason: Instruction limit
% 78.69/11.58 % (770870)Termination phase: Saturation
% 78.69/11.58 % (770870)Time elapsed: 1.493 s
% 78.69/11.58 % (770870)Peak memory usage: 14 MB
% 78.69/11.58 % (770870)Instructions burned: 2023 (million)
% 78.69/11.58 % (770907)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=848305976:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2901 on theBenchmark for (2901ds/693Mi)
% 78.69/11.58 % (770889)Instruction limit reached!
% 78.69/11.58 % (770889)------------------------------
% 78.69/11.58 % (770889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.69/11.58 % (770889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.69/11.58 % (770889)CaDiCaL version: 2.1.3
% 78.69/11.58 % (770889)Termination reason: Instruction limit
% 78.69/11.58 % (770889)Termination phase: Saturation
% 91.64/13.33 % (770889)Time elapsed: 0.624 s
% 91.64/13.33 % (770889)Peak memory usage: 14 MB
% 91.64/13.33 % (770889)Instructions burned: 842 (million)
% 91.64/13.33 % (770909)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=2791201103:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2899 on theBenchmark for (2899ds/908Mi)
% 91.64/13.33 % (770856)Instruction limit reached!
% 91.64/13.33 % (770856)------------------------------
% 91.64/13.33 % (770856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.64/13.33 % (770856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.64/13.33 % (770856)CaDiCaL version: 2.1.3
% 91.64/13.33 % (770856)Termination reason: Instruction limit
% 91.64/13.33 % (770856)Termination phase: Saturation
% 91.64/13.33 % (770856)Time elapsed: 2.287 s
% 91.64/13.33 % (770856)Peak memory usage: 14 MB
% 91.64/13.33 % (770856)Instructions burned: 3166 (million)
% 91.64/13.33 % (770911)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=3078964807:i=6901:add=on:slsql=off:rtra=on:ntd=on_2898 on theBenchmark for (2898ds/6901Mi)
% 91.64/13.33 % (770873)Instruction limit reached!
% 91.64/13.33 % (770873)------------------------------
% 91.64/13.33 % (770873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.64/13.33 % (770873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.64/13.33 % (770873)CaDiCaL version: 2.1.3
% 91.64/13.33 % (770873)Termination reason: Instruction limit
% 91.64/13.33 % (770873)Termination phase: Saturation
% 91.64/13.33 % (770873)Time elapsed: 1.630 s
% 91.64/13.33 % (770873)Peak memory usage: 15 MB
% 91.64/13.33 % (770873)Instructions burned: 2275 (million)
% 91.64/13.33 % (770913)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3847691649:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2897 on theBenchmark for (2897ds/3621Mi)
% 91.64/13.33 % (770905)Instruction limit reached!
% 91.64/13.33 % (770905)------------------------------
% 91.64/13.33 % (770905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.64/13.33 % (770905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.64/13.33 % (770905)CaDiCaL version: 2.1.3
% 91.64/13.33 % (770905)Termination reason: Instruction limit
% 91.64/13.33 % (770905)Termination phase: Saturation
% 91.64/13.33 % (770905)Time elapsed: 0.446 s
% 91.64/13.33 % (770905)Peak memory usage: 13 MB
% 91.64/13.33 % (770905)Instructions burned: 1352 (million)
% 91.64/13.33 % (770915)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=1237257325:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2897 on theBenchmark for (2897ds/1160Mi)
% 91.64/13.33 % (770915)Refutation not found, incomplete strategy
% 91.64/13.33 % (770915)------------------------------
% 91.64/13.33 % (770915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.64/13.33 % (770915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.64/13.33 % (770915)CaDiCaL version: 2.1.3
% 91.64/13.33 % (770915)Termination reason: Refutation not found, incomplete strategy
% 91.64/13.33 % (770915)Time elapsed: 0.002 s
% 91.64/13.33 % (770915)Peak memory usage: 11 MB
% 91.64/13.33 % (770915)Instructions burned: 3 (million)
% 91.64/13.33 % (770915)------------------------------
% 91.64/13.33 % (770915)------------------------------
% 91.64/13.33 % (770907)Instruction limit reached!
% 91.64/13.33 % (770907)------------------------------
% 91.64/13.33 % (770907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.64/13.33 % (770907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.64/13.33 % (770907)CaDiCaL version: 2.1.3
% 91.64/13.33 % (770907)Termination reason: Instruction limit
% 91.64/13.33 % (770907)Termination phase: Saturation
% 91.64/13.33 % (770907)Time elapsed: 0.422 s
% 91.64/13.33 % (770907)Peak memory usage: 12 MB
% 91.64/13.33 % (770907)Instructions burned: 693 (million)
% 91.64/13.33 % (770917)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=2700069291:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2897 on theBenchmark for (2897ds/570Mi)
% 91.64/13.33 % (770918)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=2138930453:i=324:bd=all:ins=4:rtra=on_2896 on theBenchmark for (2896ds/324Mi)
% 91.64/13.33 % (770917)Instruction limit reached!
% 91.64/13.33 % (770917)------------------------------
% 102.67/15.07 % (770917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.67/15.07 % (770917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.67/15.07 % (770917)CaDiCaL version: 2.1.3
% 102.67/15.07 % (770917)Termination reason: Instruction limit
% 102.67/15.07 % (770917)Termination phase: Saturation
% 102.67/15.07 % (770917)Time elapsed: 0.185 s
% 102.67/15.07 % (770917)Peak memory usage: 13 MB
% 102.67/15.07 % (770917)Instructions burned: 571 (million)
% 102.67/15.07 % (770921)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=1358828992:s2a=on:i=5712:rtra=on_2894 on theBenchmark for (2894ds/5712Mi)
% 102.67/15.07 % (770918)Instruction limit reached!
% 102.67/15.07 % (770918)------------------------------
% 102.67/15.07 % (770918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.67/15.07 % (770918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.67/15.07 % (770918)CaDiCaL version: 2.1.3
% 102.67/15.07 % (770918)Termination reason: Instruction limit
% 102.67/15.07 % (770918)Termination phase: Saturation
% 102.67/15.07 % (770918)Time elapsed: 0.256 s
% 102.67/15.07 % (770918)Peak memory usage: 14 MB
% 102.67/15.07 % (770918)Instructions burned: 324 (million)
% 102.67/15.07 % (770923)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 102.67/15.07 % (770923)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 102.67/15.07 % (770923)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=122047363:i=901:rtra=on:fsd=on_2894 on theBenchmark for (2894ds/901Mi)
% 102.67/15.07 % (770909)Instruction limit reached!
% 102.67/15.07 % (770909)------------------------------
% 102.67/15.07 % (770909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.67/15.07 % (770909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.67/15.07 % (770909)CaDiCaL version: 2.1.3
% 102.67/15.07 % (770909)Termination reason: Instruction limit
% 102.67/15.07 % (770909)Termination phase: Saturation
% 102.67/15.07 % (770909)Time elapsed: 0.754 s
% 102.67/15.07 % (770909)Peak memory usage: 15 MB
% 102.67/15.07 % (770909)Instructions burned: 908 (million)
% 102.67/15.07 % (770925)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=659328608:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2891 on theBenchmark for (2891ds/2961Mi)
% 102.67/15.07 % (770925)Refutation not found, incomplete strategy
% 102.67/15.07 % (770925)------------------------------
% 102.67/15.07 % (770925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.67/15.07 % (770925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.67/15.07 % (770925)CaDiCaL version: 2.1.3
% 102.67/15.07 % (770925)Termination reason: Refutation not found, incomplete strategy
% 102.67/15.07 % (770925)Time elapsed: 0.002 s
% 102.67/15.07 % (770925)Peak memory usage: 11 MB
% 102.67/15.07 % (770925)Instructions burned: 1 (million)
% 102.67/15.07 % (770925)------------------------------
% 102.67/15.07 % (770925)------------------------------
% 102.67/15.07 % (770927)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=923252640:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2891 on theBenchmark for (2891ds/3526Mi)
% 102.67/15.07 % (770923)Instruction limit reached!
% 102.67/15.07 % (770923)------------------------------
% 102.67/15.07 % (770923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.67/15.07 % (770923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.67/15.07 % (770923)CaDiCaL version: 2.1.3
% 102.67/15.07 % (770923)Termination reason: Instruction limit
% 102.67/15.07 % (770923)Termination phase: Saturation
% 102.67/15.07 % (770923)Time elapsed: 0.604 s
% 102.67/15.07 % (770923)Peak memory usage: 12 MB
% 102.67/15.07 % (770923)Instructions burned: 902 (million)
% 102.67/15.07 % (770929)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=3979495551:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2887 on theBenchmark for (2887ds/3368Mi)
% 102.67/15.07 % (770929)Refutation not found, incomplete strategy
% 102.67/15.07 % (770929)------------------------------
% 102.67/15.07 % (770929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.67/15.07 % (770929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/16.13 % (770929)CaDiCaL version: 2.1.3
% 110.29/16.13 % (770929)Termination reason: Refutation not found, incomplete strategy
% 110.29/16.13 % (770929)Time elapsed: 0.002 s
% 110.29/16.13 % (770929)Peak memory usage: 11 MB
% 110.29/16.13 % (770929)Instructions burned: 1 (million)
% 110.29/16.13 % (770929)------------------------------
% 110.29/16.13 % (770929)------------------------------
% 110.29/16.13 % (770931)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=2521579441:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2887 on theBenchmark for (2887ds/20626Mi)
% 110.29/16.13 % (770921)Instruction limit reached!
% 110.29/16.13 % (770921)------------------------------
% 110.29/16.13 % (770921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.29/16.13 % (770921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/16.13 % (770921)CaDiCaL version: 2.1.3
% 110.29/16.13 % (770921)Termination reason: Instruction limit
% 110.29/16.13 % (770921)Termination phase: Saturation
% 110.29/16.13 % (770921)Time elapsed: 1.814 s
% 110.29/16.13 % (770921)Peak memory usage: 15 MB
% 110.29/16.13 % (770921)Instructions burned: 5714 (million)
% 110.29/16.13 % (770933)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3788993291:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2876 on theBenchmark for (2876ds/27154Mi)
% 110.29/16.13 % (770896)Instruction limit reached!
% 110.29/16.13 % (770896)------------------------------
% 110.29/16.13 % (770896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.29/16.13 % (770896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/16.13 % (770896)CaDiCaL version: 2.1.3
% 110.29/16.13 % (770896)Termination reason: Instruction limit
% 110.29/16.13 % (770896)Termination phase: Saturation
% 110.29/16.13 % (770896)Time elapsed: 2.915 s
% 110.29/16.13 % (770896)Peak memory usage: 21 MB
% 110.29/16.13 % (770896)Instructions burned: 4071 (million)
% 110.29/16.13 % (770935)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1576867986:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2873 on theBenchmark for (2873ds/515Mi)
% 110.29/16.13 % (770935)Refutation not found, incomplete strategy
% 110.29/16.13 % (770935)------------------------------
% 110.29/16.13 % (770935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.29/16.13 % (770935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/16.13 % (770935)CaDiCaL version: 2.1.3
% 110.29/16.13 % (770935)Termination reason: Refutation not found, incomplete strategy
% 110.29/16.13 % (770935)Time elapsed: 0.002 s
% 110.29/16.13 % (770935)Peak memory usage: 12 MB
% 110.29/16.13 % (770935)Instructions burned: 1 (million)
% 110.29/16.13 % (770935)------------------------------
% 110.29/16.13 % (770935)------------------------------
% 110.29/16.13 % (770937)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3061628230:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2872 on theBenchmark for (2872ds/2653Mi)
% 110.29/16.13 % (770927)Instruction limit reached!
% 110.29/16.13 % (770927)------------------------------
% 110.29/16.13 % (770927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.29/16.13 % (770927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/16.13 % (770927)CaDiCaL version: 2.1.3
% 110.29/16.13 % (770927)Termination reason: Instruction limit
% 110.29/16.13 % (770927)Termination phase: Saturation
% 110.29/16.13 % (770927)Time elapsed: 1.926 s
% 110.29/16.13 % (770927)Peak memory usage: 15 MB
% 110.29/16.13 % (770927)Instructions burned: 3528 (million)
% 110.29/16.13 % (770939)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
% 110.29/16.13 % (770939)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=1576850130:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2871 on theBenchmark for (2871ds/1297Mi)
% 110.29/16.13 % (770913)Instruction limit reached!
% 110.29/16.13 % (770913)------------------------------
% 110.29/16.13 % (770913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.29/16.13 % (770913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/16.13 % (770913)CaDiCaL version: 2.1.3
% 110.29/16.13 % (770913)Termination reason: Instruction limit
% 116.87/16.92 % (770913)Termination phase: Saturation
% 116.87/16.92 % (770913)Time elapsed: 2.751 s
% 116.87/16.92 % (770913)Peak memory usage: 16 MB
% 116.87/16.92 % (770913)Instructions burned: 3622 (million)
% 116.87/16.92 % (770941)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1201477686:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2869 on theBenchmark for (2869ds/1950Mi)
% 116.87/16.92 % (770911)Instruction limit reached!
% 116.87/16.92 % (770911)------------------------------
% 116.87/16.92 % (770911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.87/16.92 % (770911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.87/16.92 % (770911)CaDiCaL version: 2.1.3
% 116.87/16.92 % (770911)Termination reason: Instruction limit
% 116.87/16.92 % (770911)Termination phase: Saturation
% 116.87/16.92 % (770911)Time elapsed: 3.674 s
% 116.87/16.92 % (770911)Peak memory usage: 15 MB
% 116.87/16.92 % (770911)Instructions burned: 6902 (million)
% 116.87/16.92 % (770939)Instruction limit reached!
% 116.87/16.92 % (770939)------------------------------
% 116.87/16.92 % (770939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.87/16.92 % (770939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.87/16.92 % (770939)CaDiCaL version: 2.1.3
% 116.87/16.92 % (770939)Termination reason: Instruction limit
% 116.87/16.92 % (770939)Termination phase: Saturation
% 116.87/16.92 % (770939)Time elapsed: 0.970 s
% 116.87/16.92 % (770939)Peak memory usage: 13 MB
% 116.87/16.92 % (770939)Instructions burned: 1297 (million)
% 116.87/16.92 % (770943)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=3606168619:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2861 on theBenchmark for (2861ds/2818Mi)
% 116.87/16.92 % (770944)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=3877539398:s2a=on:i=573:rtra=on:gsp=on_2861 on theBenchmark for (2861ds/573Mi)
% 116.87/16.92 % (770944)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 116.87/16.92 % (770944)Instruction limit reached!
% 116.87/16.92 % (770944)------------------------------
% 116.87/16.92 % (770944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.87/16.92 % (770944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.87/16.92 % (770944)CaDiCaL version: 2.1.3
% 116.87/16.92 % (770944)Termination reason: Instruction limit
% 116.87/16.92 % (770944)Termination phase: Saturation
% 116.87/16.92 % (770944)Time elapsed: 0.464 s
% 116.87/16.92 % (770944)Peak memory usage: 13 MB
% 116.87/16.92 % (770944)Instructions burned: 574 (million)
% 116.87/16.92 % (770947)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=2854021250:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2856 on theBenchmark for (2856ds/9598Mi)
% 116.87/16.92 % (770941)Instruction limit reached!
% 116.87/16.92 % (770941)------------------------------
% 116.87/16.92 % (770941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.87/16.92 % (770941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.87/16.92 % (770941)CaDiCaL version: 2.1.3
% 116.87/16.92 % (770941)Termination reason: Instruction limit
% 116.87/16.92 % (770941)Termination phase: Saturation
% 116.87/16.92 % (770941)Time elapsed: 1.653 s
% 116.87/16.92 % (770941)Peak memory usage: 17 MB
% 116.87/16.92 % (770941)Instructions burned: 1951 (million)
% 116.87/16.92 % (770937)Instruction limit reached!
% 116.87/16.92 % (770937)------------------------------
% 116.87/16.92 % (770937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.87/16.92 % (770937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.87/16.92 % (770937)CaDiCaL version: 2.1.3
% 116.87/16.92 % (770937)Termination reason: Instruction limit
% 116.87/16.92 % (770937)Termination phase: Saturation
% 116.87/16.92 % (770937)Time elapsed: 1.966 s
% 116.87/16.92 % (770937)Peak memory usage: 17 MB
% 116.87/16.92 % (770937)Instructions burned: 2653 (million)
% 116.87/16.92 % (770949)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 116.87/16.92 % (770949)ott+1002_16_sil=128000:si=on:random_seed=1609631838:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2853 on theBenchmark for (2853ds/409Mi)
% 116.87/16.92 % (770950)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=821618577:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2852 on theBenchmark for (2852ds/403Mi)
% 135.10/19.43 % (770950)Refutation not found, incomplete strategy
% 135.10/19.43 % (770950)------------------------------
% 135.10/19.43 % (770950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.43 % (770950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.43 % (770950)CaDiCaL version: 2.1.3
% 135.10/19.43 % (770950)Termination reason: Refutation not found, incomplete strategy
% 135.10/19.43 % (770950)Time elapsed: 0.002 s
% 135.10/19.43 % (770950)Peak memory usage: 11 MB
% 135.10/19.43 % (770950)Instructions burned: 1 (million)
% 135.10/19.43 % (770950)------------------------------
% 135.10/19.43 % (770950)------------------------------
% 135.10/19.43 % (770953)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=876830767:cond=on:i=1140:rtra=on:ntd=on_2852 on theBenchmark for (2852ds/1140Mi)
% 135.10/19.43 % (770949)Instruction limit reached!
% 135.10/19.43 % (770949)------------------------------
% 135.10/19.43 % (770949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.43 % (770949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.43 % (770949)CaDiCaL version: 2.1.3
% 135.10/19.43 % (770949)Termination reason: Instruction limit
% 135.10/19.43 % (770949)Termination phase: Saturation
% 135.10/19.43 % (770949)Time elapsed: 0.255 s
% 135.10/19.43 % (770949)Peak memory usage: 13 MB
% 135.10/19.43 % (770949)Instructions burned: 411 (million)
% 135.10/19.43 % (770955)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=936959481:i=13574:kws=inv_precedence:rtra=on_2850 on theBenchmark for (2850ds/13574Mi)
% 135.10/19.43 % (770955)Refutation not found, incomplete strategy
% 135.10/19.43 % (770955)------------------------------
% 135.10/19.43 % (770955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.43 % (770955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.43 % (770955)CaDiCaL version: 2.1.3
% 135.10/19.43 % (770955)Termination reason: Refutation not found, incomplete strategy
% 135.10/19.43 % (770955)Time elapsed: 0.002 s
% 135.10/19.43 % (770955)Peak memory usage: 12 MB
% 135.10/19.43 % (770955)Instructions burned: 1 (million)
% 135.10/19.43 % (770955)------------------------------
% 135.10/19.43 % (770955)------------------------------
% 135.10/19.43 % (770957)lrs+10_2:1_si=on:random_seed=3912819966:s2a=on:i=1055:rtra=on:fe=abstraction_2849 on theBenchmark for (2849ds/1055Mi)
% 135.10/19.43 % (770953)Instruction limit reached!
% 135.10/19.43 % (770953)------------------------------
% 135.10/19.43 % (770953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.43 % (770953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.43 % (770953)CaDiCaL version: 2.1.3
% 135.10/19.43 % (770953)Termination reason: Instruction limit
% 135.10/19.43 % (770953)Termination phase: Saturation
% 135.10/19.43 % (770953)Time elapsed: 0.894 s
% 135.10/19.43 % (770953)Peak memory usage: 14 MB
% 135.10/19.43 % (770953)Instructions burned: 1140 (million)
% 135.10/19.43 % (770943)Instruction limit reached!
% 135.10/19.43 % (770943)------------------------------
% 135.10/19.43 % (770943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.43 % (770943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.43 % (770943)CaDiCaL version: 2.1.3
% 135.10/19.43 % (770943)Termination reason: Instruction limit
% 135.10/19.43 % (770943)Termination phase: Saturation
% 135.10/19.43 % (770943)Time elapsed: 1.826 s
% 135.10/19.43 % (770943)Peak memory usage: 14 MB
% 135.10/19.43 % (770943)Instructions burned: 2818 (million)
% 135.10/19.43 % (770959)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 135.10/19.43 % (770959)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=2128821504:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2843 on theBenchmark for (2843ds/416Mi)
% 135.10/19.43 % (770960)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=361936720:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2843 on theBenchmark for (2843ds/8946Mi)
% 135.10/19.43 % (770957)Instruction limit reached!
% 135.10/19.43 % (770957)------------------------------
% 135.10/19.43 % (770957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.43 % (770957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770957)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770957)Termination reason: Instruction limit
% 135.10/19.44 % (770957)Termination phase: Saturation
% 135.10/19.44 % (770957)Time elapsed: 0.761 s
% 135.10/19.44 % (770957)Peak memory usage: 14 MB
% 135.10/19.44 % (770957)Instructions burned: 1055 (million)
% 135.10/19.44 % (770963)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=971667580:s2a=on:i=2129:nm=16:rtra=on_2841 on theBenchmark for (2841ds/2129Mi)
% 135.10/19.44 % (770963)Refutation not found, incomplete strategy
% 135.10/19.44 % (770963)------------------------------
% 135.10/19.44 % (770963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770963)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770963)Termination reason: Refutation not found, incomplete strategy
% 135.10/19.44 % (770963)Time elapsed: 0.002 s
% 135.10/19.44 % (770963)Peak memory usage: 12 MB
% 135.10/19.44 % (770963)Instructions burned: 1 (million)
% 135.10/19.44 % (770963)------------------------------
% 135.10/19.44 % (770963)------------------------------
% 135.10/19.44 % (770965)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2046527857:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2841 on theBenchmark for (2841ds/300Mi)
% 135.10/19.44 % (770965)Instruction limit reached!
% 135.10/19.44 % (770965)------------------------------
% 135.10/19.44 % (770965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770965)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770965)Termination reason: Instruction limit
% 135.10/19.44 % (770965)Termination phase: Saturation
% 135.10/19.44 % (770965)Time elapsed: 0.173 s
% 135.10/19.44 % (770965)Peak memory usage: 13 MB
% 135.10/19.44 % (770965)Instructions burned: 301 (million)
% 135.10/19.44 % (770959)Instruction limit reached!
% 135.10/19.44 % (770959)------------------------------
% 135.10/19.44 % (770959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770959)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770959)Termination reason: Instruction limit
% 135.10/19.44 % (770959)Termination phase: Saturation
% 135.10/19.44 % (770959)Time elapsed: 0.343 s
% 135.10/19.44 % (770959)Peak memory usage: 14 MB
% 135.10/19.44 % (770959)Instructions burned: 416 (million)
% 135.10/19.44 % (770967)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=2724839753:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2839 on theBenchmark for (2839ds/11464Mi)
% 135.10/19.44 % (770968)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=4160245083:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2839 on theBenchmark for (2839ds/11001Mi)
% 135.10/19.44 % (770967)Refutation not found, incomplete strategy
% 135.10/19.44 % (770967)------------------------------
% 135.10/19.44 % (770967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770967)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770967)Termination reason: Refutation not found, incomplete strategy
% 135.10/19.44 % (770967)Time elapsed: 0.004 s
% 135.10/19.44 % (770967)Peak memory usage: 12 MB
% 135.10/19.44 % (770967)Instructions burned: 3 (million)
% 135.10/19.44 % (770967)------------------------------
% 135.10/19.44 % (770967)------------------------------
% 135.10/19.44 % (770971)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=664338799:hsq=on:i=662:rtra=on:ixr=off_2839 on theBenchmark for (2839ds/662Mi)
% 135.10/19.44 % (770971)Instruction limit reached!
% 135.10/19.44 % (770971)------------------------------
% 135.10/19.44 % (770971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770971)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770971)Termination reason: Instruction limit
% 135.10/19.44 % (770971)Termination phase: Saturation
% 135.10/19.44 % (770971)Time elapsed: 0.443 s
% 135.10/19.44 % (770971)Peak memory usage: 12 MB
% 135.10/19.44 % (770971)Instructions burned: 662 (million)
% 135.10/19.44 % (770973)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=264055921:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2834 on theBenchmark for (2834ds/1714Mi)
% 135.10/19.44 % (770869)Instruction limit reached!
% 135.10/19.44 % (770869)------------------------------
% 135.10/19.44 % (770869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770869)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770869)Termination reason: Instruction limit
% 135.10/19.44 % (770869)Termination phase: Saturation
% 135.10/19.44 % (770869)Time elapsed: 9.156 s
% 135.10/19.44 % (770869)Peak memory usage: 19 MB
% 135.10/19.44 % (770869)Instructions burned: 17242 (million)
% 135.10/19.44 % (770975)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=1781100494:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2825 on theBenchmark for (2825ds/699Mi)
% 135.10/19.44 % (770973)Instruction limit reached!
% 135.10/19.44 % (770973)------------------------------
% 135.10/19.44 % (770973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770973)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770973)Termination reason: Instruction limit
% 135.10/19.44 % (770973)Termination phase: Saturation
% 135.10/19.44 % (770973)Time elapsed: 1.076 s
% 135.10/19.44 % (770973)Peak memory usage: 16 MB
% 135.10/19.44 % (770973)Instructions burned: 1715 (million)
% 135.10/19.44 % (770977)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=3558406512:i=4542:bd=preordered:rtra=on:ss=axioms_2823 on theBenchmark for (2823ds/4542Mi)
% 135.10/19.44 % (770977)Refutation not found, incomplete strategy
% 135.10/19.44 % (770977)------------------------------
% 135.10/19.44 % (770977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770977)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770977)Termination reason: Refutation not found, incomplete strategy
% 135.10/19.44 % (770977)Time elapsed: 0.001 s
% 135.10/19.44 % (770977)Peak memory usage: 11 MB
% 135.10/19.44 % (770977)------------------------------
% 135.10/19.44 % (770977)------------------------------
% 135.10/19.44 % (770979)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1851644946:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2822 on theBenchmark for (2822ds/280Mi)
% 135.10/19.44 % (770975)Instruction limit reached!
% 135.10/19.44 % (770975)------------------------------
% 135.10/19.44 % (770975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770975)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770975)Termination reason: Instruction limit
% 135.10/19.44 % (770975)Termination phase: Saturation
% 135.10/19.44 % (770975)Time elapsed: 0.442 s
% 135.10/19.44 % (770975)Peak memory usage: 14 MB
% 135.10/19.44 % (770975)Instructions burned: 699 (million)
% 135.10/19.44 % (770979)Instruction limit reached!
% 135.10/19.44 % (770979)------------------------------
% 135.10/19.44 % (770979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.10/19.44 % (770979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.10/19.44 % (770979)CaDiCaL version: 2.1.3
% 135.10/19.44 % (770979)Termination reason: Instruction limit
% 135.10/19.44 % (770979)Termination phase: Saturation
% 135.10/19.44 % (770979)Time elapsed: 0.224 s
% 135.10/19.44 % (770979)Peak memory usage: 12 MB
% 135.10/19.44 % (770979)Instructions burned: 280 (million)
% 135.10/19.44 % (770981)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 135.10/19.44 % (770981)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=276200570:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2820 on theBenchmark for (2820ds/13409Mi)
% 135.10/19.44 % (770982)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=3141599935:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2820 on theBenchmark for (2820ds/26870Mi)
% 135.10/19.44 % (770931) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-770376-770931"...
% 135.10/19.44 % (770931)...printing done.
% 135.10/19.44 % (770931)Refutation found. Thanks to Tanya!
% 135.10/19.44 % SZS status Unsatisfiable for theBenchmark
% 135.10/19.44 % SZS output start Proof for theBenchmark
% See solution above
% 135.43/19.60 % (770931)------------------------------
% 135.43/19.60 % (770931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.43/19.60 % (770931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.43/19.60 % (770931)CaDiCaL version: 2.1.3
% 135.43/19.60 % (770931)Termination reason: Refutation
% 135.43/19.60 % (770931)Time elapsed: 7.806 s
% 135.43/19.60 % (770931)Peak memory usage: 29 MB
% 135.43/19.60 % (770931)Instructions burned: 9430 (million)
% 135.43/19.60 % (770376)Success in time 19.265 s
% 135.43/19.60 % Vampire exiting
%------------------------------------------------------------------------------