%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA089^1 : 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 : n008.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 07:51:20 AM UTC 2026
% Result : Unsatisfiable 42.18s 6.81s
% Output : Refutation 42.18s
% 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,
( ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
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] :
( ( inj @ X0 )
& ~ ( surj @ 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,X1: $i,X3: $i,X0: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
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] :
( ~ ( r @ X3 @ X0 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X0 )
| ~ ( r @ X0 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f13,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f14,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X3 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X1 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X3: $i,X1: $i,X2: $i,X0: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f14]) ).
thf(f19,plain,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) ) ),
inference(rectify,[],[f17]) ).
thf(f21,plain,
( ( ( surj @ sK0 )
!= $true )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f8]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f25,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f26,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f33,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f25]) ).
thf(f34,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f26,f28]) ).
thf(f35,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 ) ),
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] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
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] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( X1 = X2 ) ),
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] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f29,f40]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f40]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f48]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f24,f29]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(constrained_superposition,[],[f24,f50]) ).
thf(f59,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f60,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(constrained_superposition,[],[f59,f29]) ).
thf(f64,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f75,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f76,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f77,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f83,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f59,f75]) ).
thf(f84,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f24,f75]) ).
thf(f85,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f86,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f88,definition,
( spl2_4
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f89,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_4 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f91,definition,
( spl2_5
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f92,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f94,definition,
( spl2_6
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f95,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f96,plain,
( ~ spl2_4
| spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f86,f94,f91,f88]) ).
thf(f97,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_4 ),
inference(constrained_superposition,[],[f89,f29]) ).
thf(f98,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f99,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f98,f40]) ).
thf(f100,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_4 ),
inference(constrained_superposition,[],[f30,f99]) ).
thf(f101,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f103,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f85,f50]) ).
thf(f105,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f85,f75]) ).
thf(f108,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f105]) ).
thf(f109,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f108]) ).
thf(f110,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f112,definition,
( spl2_7
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f113,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_7 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f115,definition,
( spl2_8
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f116,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f118,definition,
( spl2_9
<=> ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f119,plain,
( ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f120,plain,
( ~ spl2_7
| spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f109,f118,f115,f112]) ).
thf(f122,definition,
( spl2_10
<=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f123,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_10 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f124,plain,
( spl2_6
| spl2_5
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f110,f122,f91,f94]) ).
thf(f125,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_10 ),
inference(constrained_superposition,[],[f123,f50]) ).
thf(f127,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_10 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f130,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| spl2_4
| spl2_10 ),
inference(constrained_superposition,[],[f101,f127]) ).
thf(f134,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_4
| spl2_10 ),
inference(trivial_inequality_removal,[],[f130]) ).
thf(f152,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| spl2_4
| spl2_10 ),
inference(constrained_superposition,[],[f134,f76]) ).
thf(f154,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f57,f76]) ).
thf(f156,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f76]) ).
thf(f159,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f160,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f161,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_4
| spl2_10 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f159,f89]) ).
thf(f177,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f77,f40]) ).
thf(f178,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f77,f40]) ).
thf(f179,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,[],[f77,f48]) ).
thf(f190,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(constrained_superposition,[],[f85,f177]) ).
thf(f191,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f59,f177]) ).
thf(f192,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f24,f177]) ).
thf(f194,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f195,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f196,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f198,definition,
( spl2_11
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f199,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_11 ),
inference(avatar_component_clause,[],[f198]) ).
thf(f205,definition,
( spl2_13
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f206,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f208,definition,
( spl2_14
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f209,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f208]) ).
thf(f210,plain,
( spl2_13
| spl2_14
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f194,f198,f208,f205]) ).
thf(f212,definition,
( spl2_15
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f213,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f215,definition,
( spl2_16
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f216,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f215]) ).
thf(f218,definition,
( spl2_17
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f219,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_17 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f220,plain,
( spl2_15
| spl2_16
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f196,f218,f215,f212]) ).
thf(f221,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_17 ),
inference(constrained_superposition,[],[f219,f29]) ).
thf(f222,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f221]) ).
thf(f223,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f222,f40]) ).
thf(f224,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_4
| spl2_10
| spl2_17 ),
inference(constrained_superposition,[],[f161,f223]) ).
thf(f227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_17 ),
inference(constrained_superposition,[],[f30,f223]) ).
thf(f228,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f229,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_4
| spl2_10
| spl2_17 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f236,plain,
( $false
| spl2_4
| spl2_10
| spl2_11
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f199,f229]) ).
thf(f237,plain,
( spl2_4
| spl2_10
| spl2_11
| spl2_17 ),
inference(avatar_contradiction_clause,[],[f236]) ).
thf(f238,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_11 ),
inference(constrained_superposition,[],[f199,f51]) ).
thf(f241,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f238]) ).
thf(f243,definition,
( spl2_18
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f244,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f246,definition,
( spl2_19
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f247,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f246]) ).
thf(f249,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f241,f40]) ).
thf(f250,plain,
( spl2_19
| spl2_11 ),
inference(avatar_split_clause,[],[f249,f198,f246]) ).
thf(f251,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f206,f29]) ).
thf(f252,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f206,f50]) ).
thf(f257,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f251]) ).
thf(f260,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f252]) ).
thf(f262,definition,
( spl2_20
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f263,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f262]) ).
thf(f264,plain,
( ~ spl2_10
| spl2_20
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f260,f205,f262,f122]) ).
thf(f317,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f195,f50]) ).
thf(f321,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f195,f177]) ).
thf(f324,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(duplicate_literal_removal,[],[f321]) ).
thf(f325,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f324]) ).
thf(f327,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f317]) ).
thf(f330,definition,
( spl2_21
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f331,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f330]) ).
thf(f333,definition,
( spl2_22
<=> ! [X1: $i] :
( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f334,plain,
( ! [X1: $i] :
( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f333]) ).
thf(f336,definition,
( spl2_23
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f337,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_23 ),
inference(avatar_component_clause,[],[f336]) ).
thf(f338,plain,
( spl2_21
| spl2_22
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f325,f336,f333,f330]) ).
thf(f340,definition,
( spl2_24
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f341,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_24 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f342,plain,
( spl2_15
| spl2_16
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f327,f340,f215,f212]) ).
thf(f343,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_24 ),
inference(constrained_superposition,[],[f341,f50]) ).
thf(f346,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_24 ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f348,plain,
( spl2_20
| spl2_24 ),
inference(avatar_split_clause,[],[f346,f340,f262]) ).
thf(f349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_17
| ~ spl2_20 ),
inference(constrained_superposition,[],[f228,f263]) ).
thf(f353,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f30,f263]) ).
thf(f355,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f356,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_17
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f349]) ).
thf(f384,definition,
( spl2_25
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f385,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_25 ),
inference(avatar_component_clause,[],[f384]) ).
thf(f434,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f257,f29]) ).
thf(f440,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f455,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f30,f440]) ).
thf(f462,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f455]) ).
thf(f468,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f462,f30]) ).
thf(f582,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f468,f49]) ).
thf(f591,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f582]) ).
thf(f592,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f591,f40]) ).
thf(f593,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f592,f40]) ).
thf(f740,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_17
| ~ spl2_20 ),
inference(constrained_superposition,[],[f356,f178]) ).
thf(f742,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true ) )
| spl2_17 ),
inference(constrained_superposition,[],[f228,f178]) ).
thf(f744,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f160,f178]) ).
thf(f746,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f593,f178]) ).
thf(f747,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f57,f178]) ).
thf(f749,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f178]) ).
thf(f750,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_17
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f740]) ).
thf(f752,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f749]) ).
thf(f753,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f747]) ).
thf(f754,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f746]) ).
thf(f755,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f744]) ).
thf(f756,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true ) )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f742]) ).
thf(f760,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f753,f219]) ).
thf(f781,definition,
( spl2_27
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f782,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f781]) ).
thf(f784,definition,
( spl2_28
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f785,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f784]) ).
thf(f790,definition,
( spl2_29
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f791,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f790]) ).
thf(f792,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f198]) ).
thf(f793,plain,
( spl2_29
| spl2_11 ),
inference(avatar_split_clause,[],[f755,f198,f790]) ).
thf(f802,definition,
( spl2_31
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f803,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f802]) ).
thf(f806,definition,
( spl2_32
<=> ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f807,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_32 ),
inference(avatar_component_clause,[],[f806]) ).
thf(f835,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f355,f49]) ).
thf(f838,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f835]) ).
thf(f866,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f838,f178]) ).
thf(f878,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f866]) ).
thf(f891,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_5
| spl2_17 ),
inference(constrained_superposition,[],[f760,f92]) ).
thf(f892,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_5
| spl2_17 ),
inference(trivial_inequality_removal,[],[f891]) ).
thf(f893,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_5
| spl2_17
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f892,f750]) ).
thf(f895,definition,
( spl2_37
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f896,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f895]) ).
thf(f897,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_28 ),
inference(avatar_component_clause,[],[f784]) ).
thf(f898,plain,
( spl2_37
| ~ spl2_28
| ~ spl2_5
| spl2_17
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f893,f262,f218,f91,f784,f895]) ).
thf(f899,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_5
| spl2_28 ),
inference(constrained_superposition,[],[f897,f92]) ).
thf(f900,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_5
| spl2_28 ),
inference(trivial_inequality_removal,[],[f899]) ).
thf(f901,plain,
( spl2_29
| spl2_17 ),
inference(avatar_split_clause,[],[f756,f218,f790]) ).
thf(f908,definition,
( spl2_39
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f909,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_39 ),
inference(avatar_component_clause,[],[f908]) ).
thf(f914,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f924,definition,
( spl2_43
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f925,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f924]) ).
thf(f926,plain,
( spl2_43
| spl2_17
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f754,f205,f218,f924]) ).
thf(f929,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f806]) ).
thf(f943,definition,
( spl2_46
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f944,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f943]) ).
thf(f945,plain,
( spl2_46
| ~ spl2_39
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f878,f262,f908,f943]) ).
thf(f948,definition,
( spl2_47
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f949,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f948]) ).
thf(f950,plain,
( spl2_47
| spl2_17 ),
inference(avatar_split_clause,[],[f753,f218,f948]) ).
thf(f981,definition,
( spl2_55
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f982,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f981]) ).
thf(f1008,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_39 ),
inference(constrained_superposition,[],[f909,f49]) ).
thf(f1009,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_39 ),
inference(trivial_inequality_removal,[],[f1008]) ).
thf(f1098,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_4
| ~ spl2_16 ),
inference(constrained_superposition,[],[f163,f216]) ).
thf(f1106,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f30,f216]) ).
thf(f1110,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_4
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f1098]) ).
thf(f1116,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f1106]) ).
thf(f1123,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_19 ),
inference(avatar_component_clause,[],[f246]) ).
thf(f1125,definition,
( spl2_59
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f1126,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f1125]) ).
thf(f1127,plain,
( ~ spl2_19
| spl2_59
| spl2_4
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f1110,f215,f88,f1125,f246]) ).
thf(f1129,definition,
( spl2_60
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f1130,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f1129]) ).
thf(f1132,definition,
( spl2_61
<=> ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).
thf(f1133,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_61 ),
inference(avatar_component_clause,[],[f1132]) ).
thf(f1134,plain,
( spl2_60
| spl2_61
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f1116,f215,f1132,f1129]) ).
thf(f1136,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f213,f29]) ).
thf(f1138,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f213,f51]) ).
thf(f1141,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1136]) ).
thf(f1142,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1138]) ).
thf(f1159,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1141,f29]) ).
thf(f1160,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1159]) ).
thf(f1162,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_4
| ~ spl2_15 ),
inference(constrained_superposition,[],[f163,f1160]) ).
thf(f1169,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| spl2_4
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1162]) ).
thf(f1177,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f1142,f29]) ).
thf(f1178,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1177]) ).
thf(f1179,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f1178,f40]) ).
thf(f1182,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true ) )
| spl2_4
| ~ spl2_15 ),
inference(constrained_superposition,[],[f163,f1179]) ).
thf(f1192,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_4
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1182]) ).
thf(f1234,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f55,f40]) ).
thf(f1235,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( b @ X2 @ X1 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f29]) ).
thf(f1250,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( X1 = X2 )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f1235]) ).
thf(f1254,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1234,f50]) ).
thf(f1263,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1254]) ).
thf(f1289,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( ( b @ X3 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( X2 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1250,f29]) ).
thf(f1304,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( X0 = X1 )
| ( ( b @ X3 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f1289]) ).
thf(f1356,definition,
( spl2_62
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).
thf(f1357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_62 ),
inference(avatar_component_clause,[],[f1356]) ).
thf(f1359,definition,
( spl2_63
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).
thf(f1360,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f1359]) ).
thf(f1363,definition,
( spl2_64
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f1364,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f1363]) ).
thf(f1366,definition,
( spl2_65
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f1367,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f1366]) ).
thf(f1369,plain,
( spl2_17
| spl2_39 ),
inference(avatar_split_clause,[],[f1009,f908,f218]) ).
thf(f1371,definition,
( spl2_66
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).
thf(f1372,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_66 ),
inference(avatar_component_clause,[],[f1371]) ).
thf(f1379,definition,
( spl2_68
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f1380,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_68 ),
inference(avatar_component_clause,[],[f1379]) ).
thf(f1392,definition,
( spl2_71
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f1393,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f1392]) ).
thf(f1394,plain,
( spl2_71
| spl2_11
| spl2_4
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f1192,f212,f88,f198,f1392]) ).
thf(f1400,definition,
( spl2_73
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
thf(f1401,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f1400]) ).
thf(f1404,definition,
( spl2_74
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f1405,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f1404]) ).
thf(f1406,plain,
( spl2_74
| spl2_11
| spl2_4
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f1169,f212,f88,f198,f1404]) ).
thf(f1411,plain,
( spl2_20
| ~ spl2_5
| spl2_28 ),
inference(avatar_split_clause,[],[f900,f784,f91,f262]) ).
thf(f1412,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_17 ),
inference(constrained_superposition,[],[f219,f29]) ).
thf(f1413,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f1412]) ).
thf(f1414,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f1413,f40]) ).
thf(f1415,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| spl2_17 ),
inference(constrained_superposition,[],[f30,f1414]) ).
thf(f1416,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f1415]) ).
thf(f1417,plain,
( spl2_60
| spl2_17 ),
inference(avatar_split_clause,[],[f1416,f218,f1129]) ).
thf(f1418,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_68 ),
inference(constrained_superposition,[],[f1380,f75]) ).
thf(f1423,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_68 ),
inference(trivial_inequality_removal,[],[f1418]) ).
thf(f1426,plain,
( spl2_28
| spl2_68 ),
inference(avatar_split_clause,[],[f1423,f1379,f784]) ).
thf(f1429,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f57,f785]) ).
thf(f1432,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f1429]) ).
thf(f1435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_17
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f1432,f219]) ).
thf(f1437,definition,
( spl2_76
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f1438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f1437]) ).
thf(f1441,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f59,f792]) ).
thf(f1445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f24,f792]) ).
thf(f1448,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f1441]) ).
thf(f1451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f1445]) ).
thf(f1455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f30,f247]) ).
thf(f1458,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f1455]) ).
thf(f1460,plain,
( spl2_60
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f1458,f246,f1129]) ).
thf(f1461,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_17
| ~ spl2_28 ),
inference(constrained_superposition,[],[f1435,f178]) ).
thf(f1464,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_17
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f1461]) ).
thf(f1467,plain,
( spl2_31
| spl2_17
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f1464,f784,f218,f802]) ).
thf(f1481,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1130,f178]) ).
thf(f1482,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_28
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1130,f785]) ).
thf(f1483,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1130,f92]) ).
thf(f1484,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_5
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f1483]) ).
thf(f1485,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f1481]) ).
thf(f1486,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_28
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f1482]) ).
thf(f1487,plain,
( spl2_47
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f1485,f1129,f948]) ).
thf(f1491,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f1451,f50]) ).
thf(f1497,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f1491]) ).
thf(f1501,definition,
( spl2_77
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f1502,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f1501]) ).
thf(f1503,plain,
( spl2_20
| spl2_77
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f1497,f198,f1501,f262]) ).
thf(f1505,definition,
( spl2_78
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f1506,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f1505]) ).
thf(f1507,plain,
( spl2_78
| spl2_20
| ~ spl2_5
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f1484,f1129,f91,f262,f1505]) ).
thf(f1514,plain,
( ~ spl2_17
| spl2_32
| spl2_15
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f1448,f198,f212,f806,f218]) ).
thf(f1515,plain,
( spl2_78
| ~ spl2_28
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f1486,f1129,f784,f1505]) ).
thf(f1516,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_10 ),
inference(constrained_superposition,[],[f123,f50]) ).
thf(f1518,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_10 ),
inference(trivial_inequality_removal,[],[f1516]) ).
thf(f1520,plain,
( spl2_32
| spl2_10 ),
inference(avatar_split_clause,[],[f1518,f122,f806]) ).
thf(f1524,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f30,f929]) ).
thf(f1527,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f1524]) ).
thf(f1531,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f57,f263]) ).
thf(f1536,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f1531]) ).
thf(f1537,plain,
( spl2_17
| spl2_73
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f1536,f262,f1400,f218]) ).
thf(f1539,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1250,f914]) ).
thf(f1541,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f24,f914]) ).
thf(f1543,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f1541]) ).
thf(f1545,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f1539]) ).
thf(f1576,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f1527,f49]) ).
thf(f1577,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| spl2_4
| ~ spl2_32 ),
inference(constrained_superposition,[],[f1527,f99]) ).
thf(f1578,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_4
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f1577]) ).
thf(f1579,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f1576]) ).
thf(f1583,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| spl2_4
| ~ spl2_28
| ~ spl2_32 ),
inference(constrained_superposition,[],[f1578,f785]) ).
thf(f1584,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_4
| ~ spl2_28
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f1583]) ).
thf(f1588,plain,
( ~ spl2_39
| spl2_4
| ~ spl2_28
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f1584,f806,f784,f88,f908]) ).
thf(f1613,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1543,f29]) ).
thf(f1618,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f1613]) ).
thf(f1635,definition,
( spl2_80
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).
thf(f1636,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_80 ),
inference(avatar_component_clause,[],[f1635]) ).
thf(f1921,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_64 ),
inference(constrained_superposition,[],[f30,f1364]) ).
thf(f1940,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f1921]) ).
thf(f1961,definition,
( spl2_81
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f1962,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f1961]) ).
thf(f1963,plain,
( spl2_60
| spl2_81
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f1940,f1363,f1961,f1129]) ).
thf(f1966,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f1367,f29]) ).
thf(f1972,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f1966]) ).
thf(f2350,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_63 ),
inference(constrained_superposition,[],[f30,f1360]) ).
thf(f2366,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f2350]) ).
thf(f2375,definition,
( spl2_82
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f2376,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f2375]) ).
thf(f2377,plain,
( spl2_60
| spl2_82
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f2366,f1359,f2375,f1129]) ).
thf(f2380,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_62 ),
inference(constrained_superposition,[],[f1357,f51]) ).
thf(f2382,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_62 ),
inference(constrained_superposition,[],[f1357,f77]) ).
thf(f2383,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f2380]) ).
thf(f2386,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f2382]) ).
thf(f2387,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f2383,f40]) ).
thf(f2388,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f2386,f40]) ).
thf(f2412,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_62 ),
inference(constrained_superposition,[],[f30,f2387]) ).
thf(f2418,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f2412]) ).
thf(f2420,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f2418,f30]) ).
thf(f2422,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_5
| ~ spl2_62 ),
inference(constrained_superposition,[],[f2420,f92]) ).
thf(f2427,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_5
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f2422]) ).
thf(f2443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_62 ),
inference(constrained_superposition,[],[f30,f2388]) ).
thf(f2447,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f2443]) ).
thf(f2450,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f2447,f30]) ).
thf(f2451,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_5
| ~ spl2_62 ),
inference(constrained_superposition,[],[f2450,f92]) ).
thf(f2454,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X0 ) )
| ~ spl2_5
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f2451]) ).
thf(f2486,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f30,f1972]) ).
thf(f2493,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f2486]) ).
thf(f2495,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f2493,f30]) ).
thf(f2535,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_46 ),
inference(constrained_superposition,[],[f85,f944]) ).
thf(f2547,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f2535]) ).
thf(f2622,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f30,f209]) ).
thf(f2628,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f2622]) ).
thf(f2643,definition,
( spl2_83
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).
thf(f2644,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f2643]) ).
thf(f2645,plain,
( spl2_83
| spl2_60
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f2628,f208,f1129,f2643]) ).
thf(f2898,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1545,f29]) ).
thf(f2906,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f2898]) ).
thf(f3088,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1618,f75]) ).
thf(f3092,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3088]) ).
thf(f3121,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f64,f914]) ).
thf(f3124,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3121]) ).
thf(f3321,definition,
( spl2_85
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f3322,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f3321]) ).
thf(f3323,plain,
( spl2_28
| spl2_85
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f2547,f943,f3321,f784]) ).
thf(f3325,definition,
( spl2_86
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f3326,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f3325]) ).
thf(f3332,definition,
( spl2_88
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
thf(f3333,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f3332]) ).
thf(f3336,definition,
( spl2_89
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).
thf(f3337,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_89 ),
inference(avatar_component_clause,[],[f3336]) ).
thf(f3339,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f3341,definition,
( spl2_90
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).
thf(f3342,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_90 ),
inference(avatar_component_clause,[],[f3341]) ).
thf(f3345,definition,
( spl2_91
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
thf(f3346,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f3345]) ).
thf(f3347,plain,
( spl2_4
| spl2_91 ),
inference(avatar_split_clause,[],[f159,f3345,f88]) ).
thf(f3350,definition,
( spl2_92
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).
thf(f3351,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f3350]) ).
thf(f3354,definition,
( spl2_93
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f3355,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f3354]) ).
thf(f3357,definition,
( spl2_94
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).
thf(f3358,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f3357]) ).
thf(f3365,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_94 ),
inference(avatar_component_clause,[],[f3357]) ).
thf(f3367,definition,
( spl2_96
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f3368,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f3367]) ).
thf(f3400,definition,
( spl2_102
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).
thf(f3401,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f3400]) ).
thf(f3402,plain,
( spl2_102
| spl2_28
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f3092,f218,f88,f784,f3400]) ).
thf(f3412,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_94 ),
inference(constrained_superposition,[],[f3365,f49]) ).
thf(f3415,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_94 ),
inference(trivial_inequality_removal,[],[f3412]) ).
thf(f3417,plain,
( spl2_4
| spl2_94 ),
inference(avatar_split_clause,[],[f3415,f3357,f88]) ).
thf(f3419,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(constrained_superposition,[],[f2906,f3339]) ).
thf(f3422,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1250,f3339]) ).
thf(f3423,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f55,f3339]) ).
thf(f3424,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f24,f3339]) ).
thf(f3425,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3419]) ).
thf(f3426,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f3422]) ).
thf(f3429,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f3423]) ).
thf(f3431,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f3424]) ).
thf(f3432,plain,
( spl2_18
| spl2_19
| spl2_86
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f3425,f218,f88,f3325,f246,f243]) ).
thf(f3434,definition,
( spl2_104
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f3435,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f3434]) ).
thf(f3485,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f30,f3358]) ).
thf(f3486,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f3485]) ).
thf(f3490,plain,
( spl2_88
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f3486,f3357,f3332]) ).
thf(f3518,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_17 ),
inference(constrained_superposition,[],[f3124,f792]) ).
thf(f3520,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1545,f792]) ).
thf(f3527,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3520]) ).
thf(f3531,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3518]) ).
thf(f3537,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f3527,f3339]) ).
thf(f3538,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f3531,f3339]) ).
thf(f3539,plain,
( spl2_86
| ~ spl2_4
| ~ spl2_11
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f3537,f218,f198,f88,f3325]) ).
thf(f3540,plain,
( spl2_92
| ~ spl2_4
| ~ spl2_11
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f3538,f218,f198,f88,f3350]) ).
thf(f3687,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f206,f29]) ).
thf(f3698,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f3687]) ).
thf(f3701,plain,
( spl2_102
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f3698,f205,f3400]) ).
thf(f3772,definition,
( spl2_105
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f3773,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f3772]) ).
thf(f3792,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_90 ),
inference(constrained_superposition,[],[f3342,f49]) ).
thf(f3796,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_90 ),
inference(trivial_inequality_removal,[],[f3792]) ).
thf(f3798,plain,
( spl2_96
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f3796,f3341,f3367]) ).
thf(f3799,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f76]) ).
thf(f3801,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_32
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f929]) ).
thf(f3803,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_32
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f3801]) ).
thf(f3805,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f3799]) ).
thf(f3807,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_32
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3803,f76]) ).
thf(f3812,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_32
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f3807]) ).
thf(f3877,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1130,f263]) ).
thf(f3891,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f3877]) ).
thf(f3897,plain,
( spl2_73
| ~ spl2_20
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f3891,f1129,f262,f1400]) ).
thf(f3899,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1401,f178]) ).
thf(f3911,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f3899]) ).
thf(f3950,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f908]) ).
thf(f3962,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f30,f3950]) ).
thf(f3967,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f3962]) ).
thf(f3987,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_83 ),
inference(constrained_superposition,[],[f160,f2644]) ).
thf(f4016,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f3987]) ).
thf(f4035,definition,
( spl2_110
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f4036,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f4035]) ).
thf(f4042,definition,
( spl2_111
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f4043,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f4042]) ).
thf(f4052,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_73 ),
inference(constrained_superposition,[],[f1401,f785]) ).
thf(f4054,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_66 ),
inference(constrained_superposition,[],[f1372,f785]) ).
thf(f4063,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_28
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f4052]) ).
thf(f4066,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_28
| ~ spl2_66 ),
inference(trivial_inequality_removal,[],[f4054]) ).
thf(f4068,plain,
( $false
| ~ spl2_28
| ~ spl2_32
| ~ spl2_66 ),
inference(forward_subsumption_resolution,[],[f4066,f929]) ).
thf(f4069,plain,
( ~ spl2_28
| ~ spl2_32
| ~ spl2_66 ),
inference(avatar_contradiction_clause,[],[f4068]) ).
thf(f4122,plain,
( spl2_43
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f3911,f1400,f924]) ).
thf(f4124,plain,
( ~ spl2_94
| ~ spl2_28
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f4063,f1400,f784,f3357]) ).
thf(f4136,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f206,f51]) ).
thf(f4138,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f206,f77]) ).
thf(f4140,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f4138]) ).
thf(f4142,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f4136]) ).
thf(f4150,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_78 ),
inference(constrained_superposition,[],[f1506,f263]) ).
thf(f4154,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f4150]) ).
thf(f4162,plain,
( $false
| ~ spl2_20
| ~ spl2_32
| ~ spl2_78 ),
inference(forward_subsumption_resolution,[],[f4154,f929]) ).
thf(f4163,plain,
( ~ spl2_20
| ~ spl2_32
| ~ spl2_78 ),
inference(avatar_contradiction_clause,[],[f4162]) ).
thf(f4167,plain,
( spl2_60
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f3967,f908,f1129]) ).
thf(f4172,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f213,f29]) ).
thf(f4176,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f213,f77]) ).
thf(f4177,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f4176]) ).
thf(f4180,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f4172]) ).
thf(f4204,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f3355,f177]) ).
thf(f4205,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_11
| ~ spl2_93 ),
inference(constrained_superposition,[],[f3355,f792]) ).
thf(f4209,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f3355,f29]) ).
thf(f4210,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f4209]) ).
thf(f4213,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f4204]) ).
thf(f4215,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_11
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f4205]) ).
thf(f4225,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f925,f49]) ).
thf(f4227,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f4225]) ).
thf(f4233,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_11 ),
inference(constrained_superposition,[],[f3431,f792]) ).
thf(f4234,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f4233]) ).
thf(f4265,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f982,f49]) ).
thf(f4267,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f4265]) ).
thf(f4270,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3805,f76]) ).
thf(f4280,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(duplicate_literal_removal,[],[f4270]) ).
thf(f4281,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f4280]) ).
thf(f4325,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_47
| ~ spl2_83 ),
inference(constrained_superposition,[],[f949,f2644]) ).
thf(f4330,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_47
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f4325]) ).
thf(f4333,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_28
| ~ spl2_47
| ~ spl2_83 ),
inference(forward_subsumption_resolution,[],[f4330,f785]) ).
thf(f4335,plain,
( spl2_37
| ~ spl2_28
| ~ spl2_47
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f4333,f2643,f948,f784,f895]) ).
thf(f4352,plain,
( spl2_46
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f4227,f924,f943]) ).
thf(f4366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_85 ),
inference(forward_subsumption_resolution,[],[f3322,f3431]) ).
thf(f4367,plain,
( spl2_111
| ~ spl2_4
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f4366,f3321,f88,f4042]) ).
thf(f4370,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_104 ),
inference(constrained_superposition,[],[f3435,f792]) ).
thf(f4372,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_11
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f4370]) ).
thf(f4375,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_11
| ~ spl2_104 ),
inference(forward_subsumption_resolution,[],[f4372,f40]) ).
thf(f4376,plain,
( $false
| ~ spl2_11
| spl2_39
| ~ spl2_104 ),
inference(forward_subsumption_resolution,[],[f4375,f909]) ).
thf(f4377,plain,
( ~ spl2_11
| spl2_39
| ~ spl2_104 ),
inference(avatar_contradiction_clause,[],[f4376]) ).
thf(f4534,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_96 ),
inference(constrained_superposition,[],[f1234,f3368]) ).
thf(f4544,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_96 ),
inference(constrained_superposition,[],[f24,f3368]) ).
thf(f4550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4534]) ).
thf(f4554,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4544]) ).
thf(f4555,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_94
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f4550,f3365]) ).
thf(f4557,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| spl2_94
| ~ spl2_96 ),
inference(constrained_superposition,[],[f4555,f3368]) ).
thf(f4564,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| spl2_94
| ~ spl2_96 ),
inference(duplicate_literal_removal,[],[f4557]) ).
thf(f4565,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| spl2_94
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4564]) ).
thf(f4788,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f3401,f51]) ).
thf(f4789,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_96
| ~ spl2_102 ),
inference(constrained_superposition,[],[f3401,f3368]) ).
thf(f4792,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f4788]) ).
thf(f4793,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_96
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f4789]) ).
thf(f4794,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f4793,f4180]) ).
thf(f4802,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102 ),
inference(constrained_superposition,[],[f30,f4794]) ).
thf(f4804,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f4802]) ).
thf(f5077,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_13
| ~ spl2_46 ),
inference(constrained_superposition,[],[f206,f944]) ).
thf(f5102,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_13
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f5077]) ).
thf(f5110,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_13
| ~ spl2_46
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f5102,f3368]) ).
thf(f5112,plain,
( spl2_105
| ~ spl2_13
| ~ spl2_46
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f5110,f3367,f943,f205,f3772]) ).
thf(f5718,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f30,f4792]) ).
thf(f5719,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f5718]) ).
thf(f5725,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f5719,f30]) ).
thf(f6035,definition,
( spl2_114
<=> ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f6036,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f6035]) ).
thf(f6043,definition,
( spl2_116
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_116])],[avatar_definition]) ).
thf(f6044,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_116 ),
inference(avatar_component_clause,[],[f6043]) ).
thf(f6046,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1379]) ).
thf(f6088,definition,
( spl2_117
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f6089,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) )
| ~ spl2_117 ),
inference(avatar_component_clause,[],[f6088]) ).
thf(f6098,definition,
( spl2_118
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X2 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f6099,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X2 @ X0 )
!= $true ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f6098]) ).
thf(f6134,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f6136,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| spl2_94
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f4565,f3339]) ).
thf(f6155,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_93 ),
inference(forward_subsumption_resolution,[],[f4215,f3339]) ).
thf(f6160,definition,
( spl2_124
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f6161,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f6160]) ).
thf(f6162,plain,
( spl2_124
| ~ spl2_7
| ~ spl2_4
| spl2_94
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f6136,f3367,f3357,f88,f112,f6160]) ).
thf(f6171,plain,
( ~ spl2_7
| ~ spl2_4
| ~ spl2_11
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f6155,f3354,f198,f88,f112]) ).
thf(f6436,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_68 ),
inference(constrained_superposition,[],[f213,f6046]) ).
thf(f6447,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_4
| ~ spl2_68 ),
inference(constrained_superposition,[],[f3426,f6046]) ).
thf(f6453,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f6447]) ).
thf(f6456,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f6436]) ).
thf(f6472,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_17
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f6453,f914]) ).
thf(f6473,plain,
( $false
| ~ spl2_4
| ~ spl2_15
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f6456,f3339]) ).
thf(f6474,plain,
( ~ spl2_4
| ~ spl2_15
| ~ spl2_68 ),
inference(avatar_contradiction_clause,[],[f6473]) ).
thf(f6476,plain,
( spl2_63
| ~ spl2_4
| ~ spl2_17
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f6472,f1379,f218,f88,f1359]) ).
thf(f7830,definition,
( spl2_164
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f7831,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f7830]) ).
thf(f7832,plain,
( spl2_164
| ~ spl2_25
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f4281,f3332,f384,f7830]) ).
thf(f7922,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f6036,f76]) ).
thf(f7930,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f7922]) ).
thf(f7940,plain,
( spl2_164
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f7930,f6035,f7830]) ).
thf(f11045,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_18 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f11107,definition,
( spl2_270
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).
thf(f11108,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f11107]) ).
thf(f11118,definition,
( spl2_271
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_271])],[avatar_definition]) ).
thf(f11119,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_271 ),
inference(avatar_component_clause,[],[f11118]) ).
thf(f11121,definition,
( spl2_272
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_272])],[avatar_definition]) ).
thf(f11122,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_272 ),
inference(avatar_component_clause,[],[f11121]) ).
thf(f11129,definition,
( spl2_274
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f11130,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_274 ),
inference(avatar_component_clause,[],[f11129]) ).
thf(f11152,definition,
( spl2_277
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).
thf(f11153,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_277 ),
inference(avatar_component_clause,[],[f11152]) ).
thf(f11179,definition,
( spl2_278
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f11180,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f11179]) ).
thf(f11182,definition,
( spl2_279
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f11183,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f11182]) ).
thf(f11186,definition,
( spl2_280
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f11187,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f11186]) ).
thf(f11189,definition,
( spl2_281
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f11190,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f11189]) ).
thf(f11193,definition,
( spl2_282
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).
thf(f11194,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(avatar_component_clause,[],[f11193]) ).
thf(f11196,definition,
( spl2_283
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f11197,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f11196]) ).
thf(f11200,definition,
( spl2_284
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).
thf(f11201,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f11200]) ).
thf(f11203,definition,
( spl2_285
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f11204,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f11203]) ).
thf(f11216,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f30,f11119]) ).
thf(f11221,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f11216]) ).
thf(f11228,plain,
( spl2_270
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f11221,f11118,f11107]) ).
thf(f11234,definition,
( spl2_287
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f11235,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f11234]) ).
thf(f11251,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_279 ),
inference(constrained_superposition,[],[f4804,f11183]) ).
thf(f11259,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_279 ),
inference(constrained_superposition,[],[f1579,f11183]) ).
thf(f11274,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f11259]) ).
thf(f11287,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f11251]) ).
thf(f11291,definition,
( spl2_288
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f11294,definition,
( spl2_289
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f11295,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f11294]) ).
thf(f11297,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f11152]) ).
thf(f11299,definition,
( spl2_290
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f11300,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_290 ),
inference(avatar_component_clause,[],[f11299]) ).
thf(f11304,definition,
( spl2_291
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_291])],[avatar_definition]) ).
thf(f11305,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f11304]) ).
thf(f11308,definition,
( spl2_292
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f11309,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f11308]) ).
thf(f11310,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f11129]) ).
thf(f11314,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_272 ),
inference(avatar_component_clause,[],[f11121]) ).
thf(f11316,definition,
( spl2_293
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f11317,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f11316]) ).
thf(f11318,plain,
( ~ spl2_272
| spl2_293
| ~ spl2_32
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f11274,f11182,f806,f11316,f11121]) ).
thf(f11327,definition,
( spl2_294
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).
thf(f11328,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f11327]) ).
thf(f11331,definition,
( spl2_295
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).
thf(f11332,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f11331]) ).
thf(f11334,definition,
( spl2_296
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).
thf(f11335,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_296 ),
inference(avatar_component_clause,[],[f11334]) ).
thf(f11340,plain,
( spl2_289
| spl2_292
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f11287,f11182,f3400,f3367,f212,f11308,f11294]) ).
thf(f11346,definition,
( spl2_298
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_298])],[avatar_definition]) ).
thf(f11347,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_298 ),
inference(avatar_component_clause,[],[f11346]) ).
thf(f11349,definition,
( spl2_299
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_299])],[avatar_definition]) ).
thf(f11350,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_299 ),
inference(avatar_component_clause,[],[f11349]) ).
thf(f11358,definition,
( spl2_300
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f11359,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f11358]) ).
thf(f11370,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_96
| ~ spl2_278 ),
inference(constrained_superposition,[],[f4554,f11180]) ).
thf(f11388,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f11370]) ).
thf(f11394,definition,
( spl2_301
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).
thf(f11395,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_301 ),
inference(avatar_component_clause,[],[f11394]) ).
thf(f11398,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_293 ),
inference(avatar_component_clause,[],[f11316]) ).
thf(f11400,definition,
( spl2_302
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f11401,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_302 ),
inference(avatar_component_clause,[],[f11400]) ).
thf(f11404,definition,
( spl2_303
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f11405,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f11404]) ).
thf(f11416,definition,
( spl2_306
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f11417,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f11416]) ).
thf(f11418,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_295 ),
inference(avatar_component_clause,[],[f11331]) ).
thf(f11419,plain,
( spl2_277
| spl2_306
| ~ spl2_295
| ~ spl2_96
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f11388,f11179,f3367,f11331,f11416,f11152]) ).
thf(f11422,definition,
( spl2_307
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_307])],[avatar_definition]) ).
thf(f11423,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_307 ),
inference(avatar_component_clause,[],[f11422]) ).
thf(f11425,definition,
( spl2_308
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f11426,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_308 ),
inference(avatar_component_clause,[],[f11425]) ).
thf(f11430,definition,
( spl2_309
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f11431,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f11430]) ).
thf(f11437,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_277 ),
inference(constrained_superposition,[],[f11153,f29]) ).
thf(f11439,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_277 ),
inference(trivial_inequality_removal,[],[f11437]) ).
thf(f11442,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_277 ),
inference(forward_subsumption_resolution,[],[f11439,f40]) ).
thf(f11445,plain,
( spl2_272
| spl2_277 ),
inference(avatar_split_clause,[],[f11442,f11152,f11121]) ).
thf(f11482,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_274 ),
inference(constrained_superposition,[],[f11130,f51]) ).
thf(f11486,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_274 ),
inference(trivial_inequality_removal,[],[f11482]) ).
thf(f11488,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f11334]) ).
thf(f11490,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_274 ),
inference(forward_subsumption_resolution,[],[f11486,f40]) ).
thf(f11492,plain,
( spl2_296
| spl2_274 ),
inference(avatar_split_clause,[],[f11490,f11129,f11334]) ).
thf(f11498,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_296 ),
inference(constrained_superposition,[],[f3803,f11488]) ).
thf(f11508,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f30,f11488]) ).
thf(f11509,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f11498]) ).
thf(f11516,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f11508]) ).
thf(f11523,plain,
( spl2_270
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f11516,f11334,f11107]) ).
thf(f11555,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| spl2_293 ),
inference(constrained_superposition,[],[f11398,f4267]) ).
thf(f11559,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_55
| spl2_293 ),
inference(trivial_inequality_removal,[],[f11555]) ).
thf(f11565,definition,
( spl2_312
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f11566,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f11565]) ).
thf(f11567,plain,
( spl2_299
| spl2_312
| ~ spl2_55
| spl2_293 ),
inference(avatar_split_clause,[],[f11559,f11316,f981,f11565,f11349]) ).
thf(f11596,definition,
( spl2_313
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).
thf(f11597,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f11596]) ).
thf(f11609,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_302 ),
inference(constrained_superposition,[],[f11401,f50]) ).
thf(f11612,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f11609]) ).
thf(f11616,definition,
( spl2_316
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f11617,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_316 ),
inference(avatar_component_clause,[],[f11616]) ).
thf(f11623,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| spl2_302 ),
inference(constrained_superposition,[],[f3812,f11612]) ).
thf(f11624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_302 ),
inference(constrained_superposition,[],[f752,f11612]) ).
thf(f11632,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| spl2_302 ),
inference(constrained_superposition,[],[f3346,f11612]) ).
thf(f11647,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_91
| spl2_302 ),
inference(trivial_inequality_removal,[],[f11632]) ).
thf(f11652,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f11624]) ).
thf(f11657,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| spl2_302 ),
inference(trivial_inequality_removal,[],[f11623]) ).
thf(f11669,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_91
| spl2_302 ),
inference(forward_subsumption_resolution,[],[f11647,f929]) ).
thf(f11672,definition,
( spl2_317
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).
thf(f11673,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f11672]) ).
thf(f11676,definition,
( spl2_318
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_318])],[avatar_definition]) ).
thf(f11677,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_318 ),
inference(avatar_component_clause,[],[f11676]) ).
thf(f11679,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f11425]) ).
thf(f11680,plain,
( spl2_308
| spl2_317
| spl2_302 ),
inference(avatar_split_clause,[],[f11652,f11400,f11672,f11425]) ).
thf(f11683,plain,
( spl2_295
| ~ spl2_32
| ~ spl2_88
| spl2_302 ),
inference(avatar_split_clause,[],[f11657,f11400,f3332,f806,f11331]) ).
thf(f11692,plain,
( spl2_295
| ~ spl2_32
| ~ spl2_91
| spl2_302 ),
inference(avatar_split_clause,[],[f11669,f11400,f3345,f806,f11331]) ).
thf(f11708,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_287
| ~ spl2_296 ),
inference(constrained_superposition,[],[f11488,f11235]) ).
thf(f11709,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287
| ~ spl2_296 ),
inference(constrained_superposition,[],[f11509,f11235]) ).
thf(f11743,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_91
| ~ spl2_287 ),
inference(constrained_superposition,[],[f3346,f11235]) ).
thf(f11746,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287 ),
inference(constrained_superposition,[],[f3812,f11235]) ).
thf(f11823,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_91
| ~ spl2_287 ),
inference(duplicate_literal_removal,[],[f11743]) ).
thf(f11832,plain,
( $false
| spl2_25
| ~ spl2_287
| ~ spl2_296 ),
inference(forward_subsumption_resolution,[],[f11708,f385]) ).
thf(f11833,plain,
( spl2_25
| ~ spl2_287
| ~ spl2_296 ),
inference(avatar_contradiction_clause,[],[f11832]) ).
thf(f11841,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_7
| ~ spl2_91
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f11823,f113]) ).
thf(f11850,plain,
( $false
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287
| ~ spl2_296 ),
inference(forward_subsumption_resolution,[],[f11709,f929]) ).
thf(f11851,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_287
| ~ spl2_296 ),
inference(avatar_contradiction_clause,[],[f11850]) ).
thf(f11852,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f11746,f929]) ).
thf(f11871,plain,
( spl2_114
| spl2_7
| ~ spl2_91
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f11841,f11234,f3345,f112,f6035]) ).
thf(f11881,plain,
( $false
| spl2_7
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f11852,f113]) ).
thf(f11882,plain,
( spl2_7
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f11881]) ).
thf(f11897,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_90
| ~ spl2_272 ),
inference(constrained_superposition,[],[f3342,f11122]) ).
thf(f11900,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_272 ),
inference(constrained_superposition,[],[f3805,f11122]) ).
thf(f11903,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_272 ),
inference(constrained_superposition,[],[f30,f11122]) ).
thf(f11906,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f11900]) ).
thf(f11908,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f11903]) ).
thf(f11911,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_90
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f11897]) ).
thf(f11913,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_272 ),
inference(forward_subsumption_resolution,[],[f11906,f929]) ).
thf(f11914,plain,
( spl2_270
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f11908,f11121,f11107]) ).
thf(f11917,plain,
( spl2_274
| ~ spl2_90
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f11911,f11121,f3341,f11129]) ).
thf(f11920,plain,
( spl2_274
| ~ spl2_32
| ~ spl2_88
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f11913,f11121,f3332,f806,f11129]) ).
thf(f11925,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_271
| ~ spl2_289 ),
inference(constrained_superposition,[],[f11119,f11295]) ).
thf(f11926,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_272
| ~ spl2_289 ),
inference(constrained_superposition,[],[f11122,f11295]) ).
thf(f11927,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_289 ),
inference(constrained_superposition,[],[f11180,f11295]) ).
thf(f11971,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_289 ),
inference(constrained_superposition,[],[f4177,f11295]) ).
thf(f12041,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f11971,f40]) ).
thf(f12051,plain,
( $false
| spl2_80
| ~ spl2_271
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f11925,f1636]) ).
thf(f12052,plain,
( spl2_80
| ~ spl2_271
| ~ spl2_289 ),
inference(avatar_contradiction_clause,[],[f12051]) ).
thf(f12058,plain,
( spl2_291
| ~ spl2_278
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f11927,f11294,f11179,f11304]) ).
thf(f12066,plain,
( $false
| spl2_39
| ~ spl2_272
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f11926,f909]) ).
thf(f12067,plain,
( spl2_39
| ~ spl2_272
| ~ spl2_289 ),
inference(avatar_contradiction_clause,[],[f12066]) ).
thf(f12071,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_17
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f12041,f914]) ).
thf(f12099,plain,
( $false
| ~ spl2_15
| ~ spl2_17
| spl2_80
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f12071,f1636]) ).
thf(f12100,plain,
( ~ spl2_15
| ~ spl2_17
| spl2_80
| ~ spl2_289 ),
inference(avatar_contradiction_clause,[],[f12099]) ).
thf(f12128,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_300 ),
inference(constrained_superposition,[],[f3812,f11359]) ).
thf(f12137,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_300 ),
inference(constrained_superposition,[],[f3346,f11359]) ).
thf(f12138,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_300 ),
inference(constrained_superposition,[],[f4804,f11359]) ).
thf(f12141,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5725,f11359]) ).
thf(f12146,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_65
| ~ spl2_300 ),
inference(constrained_superposition,[],[f2495,f11359]) ).
thf(f12156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f12141]) ).
thf(f12158,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f12138]) ).
thf(f12163,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f12128]) ).
thf(f12164,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f12137]) ).
thf(f12165,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_65
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f12146]) ).
thf(f12176,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_102
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f12156,f40]) ).
thf(f12178,definition,
( spl2_319
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_319])],[avatar_definition]) ).
thf(f12179,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_319 ),
inference(avatar_component_clause,[],[f12178]) ).
thf(f12180,plain,
( spl2_289
| spl2_319
| ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f12158,f11358,f3400,f3367,f212,f12178,f11294]) ).
thf(f12183,definition,
( spl2_320
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f12184,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f12183]) ).
thf(f12186,plain,
( spl2_274
| ~ spl2_32
| ~ spl2_88
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f12163,f11358,f3332,f806,f11129]) ).
thf(f12187,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_91
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f12164,f929]) ).
thf(f12188,plain,
( spl2_287
| spl2_320
| spl2_289
| ~ spl2_65
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f12165,f11358,f1366,f11294,f12183,f11234]) ).
thf(f12196,plain,
( spl2_289
| spl2_320
| ~ spl2_102
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f12176,f11358,f3400,f12183,f11294]) ).
thf(f12197,plain,
( spl2_274
| ~ spl2_32
| ~ spl2_91
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f12187,f11358,f3345,f806,f11129]) ).
thf(f12208,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f752,f11566]) ).
thf(f12298,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_13
| ~ spl2_312 ),
inference(constrained_superposition,[],[f4142,f11566]) ).
thf(f12317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_23
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f12208,f337]) ).
thf(f12332,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_11
| ~ spl2_13
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f12298,f792]) ).
thf(f12343,plain,
( spl2_60
| spl2_23
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f12317,f11565,f336,f1129]) ).
thf(f12356,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_11
| ~ spl2_13
| spl2_80
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f12332,f1636]) ).
thf(f12374,plain,
( spl2_287
| ~ spl2_11
| ~ spl2_13
| spl2_80
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f12356,f11565,f1635,f205,f198,f11234]) ).
thf(f12451,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_293 ),
inference(constrained_superposition,[],[f11398,f29]) ).
thf(f12452,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_293 ),
inference(trivial_inequality_removal,[],[f12451]) ).
thf(f12453,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f12452,f40]) ).
thf(f12463,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_90
| spl2_293 ),
inference(constrained_superposition,[],[f3342,f12453]) ).
thf(f12465,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| spl2_293 ),
inference(constrained_superposition,[],[f3805,f12453]) ).
thf(f12470,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| spl2_293 ),
inference(trivial_inequality_removal,[],[f12465]) ).
thf(f12474,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_90
| spl2_293 ),
inference(trivial_inequality_removal,[],[f12463]) ).
thf(f12475,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f12470,f929]) ).
thf(f12479,plain,
( spl2_295
| ~ spl2_90
| spl2_293 ),
inference(avatar_split_clause,[],[f12474,f11316,f3341,f11331]) ).
thf(f12480,plain,
( spl2_295
| ~ spl2_32
| ~ spl2_88
| spl2_293 ),
inference(avatar_split_clause,[],[f12475,f11316,f3332,f806,f11331]) ).
thf(f12589,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_308 ),
inference(constrained_superposition,[],[f206,f11679]) ).
thf(f12610,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f12589]) ).
thf(f12626,plain,
( $false
| ~ spl2_13
| ~ spl2_295
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f12610,f11332]) ).
thf(f12627,plain,
( ~ spl2_13
| ~ spl2_295
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f12626]) ).
thf(f12637,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f11291]) ).
thf(f12648,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_308 ),
inference(constrained_superposition,[],[f11426,f77]) ).
thf(f12653,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_308 ),
inference(trivial_inequality_removal,[],[f12648]) ).
thf(f12655,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_291 ),
inference(avatar_component_clause,[],[f11304]) ).
thf(f12685,definition,
( spl2_328
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_328])],[avatar_definition]) ).
thf(f12686,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_328 ),
inference(avatar_component_clause,[],[f12685]) ).
thf(f12695,definition,
( spl2_330
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_330])],[avatar_definition]) ).
thf(f12696,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_330 ),
inference(avatar_component_clause,[],[f12695]) ).
thf(f12698,definition,
( spl2_331
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_331])],[avatar_definition]) ).
thf(f12699,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_331 ),
inference(avatar_component_clause,[],[f12698]) ).
thf(f12718,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_330 ),
inference(constrained_superposition,[],[f12696,f177]) ).
thf(f12723,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f12718]) ).
thf(f12730,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_17
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f12723,f914]) ).
thf(f12733,plain,
( spl2_298
| ~ spl2_17
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f12730,f12695,f218,f11346]) ).
thf(f12750,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_62
| ~ spl2_331 ),
inference(constrained_superposition,[],[f2420,f12699]) ).
thf(f12764,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_62
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f12750]) ).
thf(f12780,plain,
( spl2_287
| spl2_317
| ~ spl2_62
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f12764,f12698,f1356,f11672,f11234]) ).
thf(f12824,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f30,f11347]) ).
thf(f12827,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f12824]) ).
thf(f12847,plain,
( spl2_60
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f12827,f11346,f1129]) ).
thf(f12850,definition,
( spl2_332
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_332])],[avatar_definition]) ).
thf(f12851,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f12850]) ).
thf(f12858,definition,
( spl2_333
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_333])],[avatar_definition]) ).
thf(f12859,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_333 ),
inference(avatar_component_clause,[],[f12858]) ).
thf(f12879,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_13
| ~ spl2_18 ),
inference(constrained_superposition,[],[f206,f244]) ).
thf(f12915,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| spl2_274 ),
inference(constrained_superposition,[],[f11130,f244]) ).
thf(f12919,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_295 ),
inference(constrained_superposition,[],[f11332,f244]) ).
thf(f12922,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_296 ),
inference(constrained_superposition,[],[f11488,f244]) ).
thf(f12925,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| spl2_291 ),
inference(constrained_superposition,[],[f12655,f244]) ).
thf(f13008,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_13
| ~ spl2_18 ),
inference(duplicate_literal_removal,[],[f12879]) ).
thf(f13011,plain,
( $false
| ~ spl2_18
| spl2_274
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f12919,f11130]) ).
thf(f13012,plain,
( ~ spl2_18
| spl2_274
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f13011]) ).
thf(f13014,plain,
( $false
| ~ spl2_18
| spl2_19
| ~ spl2_296 ),
inference(forward_subsumption_resolution,[],[f12922,f1123]) ).
thf(f13015,plain,
( ~ spl2_18
| spl2_19
| ~ spl2_296 ),
inference(avatar_contradiction_clause,[],[f13014]) ).
thf(f13022,plain,
( $false
| ~ spl2_11
| ~ spl2_18
| spl2_274 ),
inference(forward_subsumption_resolution,[],[f12915,f792]) ).
thf(f13023,plain,
( ~ spl2_11
| ~ spl2_18
| spl2_274 ),
inference(avatar_contradiction_clause,[],[f13022]) ).
thf(f13030,plain,
( $false
| ~ spl2_11
| ~ spl2_18
| spl2_291 ),
inference(forward_subsumption_resolution,[],[f12925,f792]) ).
thf(f13031,plain,
( ~ spl2_11
| ~ spl2_18
| spl2_291 ),
inference(avatar_contradiction_clause,[],[f13030]) ).
thf(f13044,plain,
( spl2_9
| ~ spl2_13
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f13008,f243,f205,f118]) ).
thf(f13049,definition,
( spl2_334
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_334])],[avatar_definition]) ).
thf(f13050,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f13049]) ).
thf(f13105,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_280 ),
inference(constrained_superposition,[],[f2427,f11187]) ).
thf(f13119,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f30,f11187]) ).
thf(f13127,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f13105]) ).
thf(f13131,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f13119]) ).
thf(f13151,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_280
| ~ spl2_296 ),
inference(forward_subsumption_resolution,[],[f13127,f11488]) ).
thf(f13153,plain,
( spl2_270
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f13131,f11186,f11107]) ).
thf(f13161,definition,
( spl2_335
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_335])],[avatar_definition]) ).
thf(f13162,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_335 ),
inference(avatar_component_clause,[],[f13161]) ).
thf(f13173,plain,
( spl2_287
| spl2_331
| ~ spl2_5
| ~ spl2_62
| ~ spl2_280
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f13151,f11334,f11186,f1356,f91,f12698,f11234]) ).
thf(f13313,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_83
| ~ spl2_320 ),
inference(constrained_superposition,[],[f12184,f2644]) ).
thf(f13325,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_83
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f13313]) ).
thf(f13330,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f1263,f11190]) ).
thf(f13332,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f59,f11190]) ).
thf(f13341,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f13330]) ).
thf(f13346,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f13332]) ).
thf(f13360,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11405,f177]) ).
thf(f13364,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f13360]) ).
thf(f13371,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_17
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f13364,f914]) ).
thf(f13372,plain,
( spl2_313
| ~ spl2_17
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f13371,f11404,f218,f11596]) ).
thf(f13373,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_83
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11673,f2644]) ).
thf(f13382,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_83
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f13373]) ).
thf(f13448,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_62
| ~ spl2_283 ),
inference(constrained_superposition,[],[f2450,f11197]) ).
thf(f13474,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_62
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f13448]) ).
thf(f13488,definition,
( spl2_339
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_339])],[avatar_definition]) ).
thf(f13489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_339 ),
inference(avatar_component_clause,[],[f13488]) ).
thf(f13491,definition,
( spl2_340
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_340])],[avatar_definition]) ).
thf(f13492,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_340 ),
inference(avatar_component_clause,[],[f13491]) ).
thf(f13495,definition,
( spl2_341
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).
thf(f13496,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_341 ),
inference(avatar_component_clause,[],[f13495]) ).
thf(f13499,definition,
( spl2_342
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f13500,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f13499]) ).
thf(f13503,definition,
( spl2_343
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_343])],[avatar_definition]) ).
thf(f13504,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_343 ),
inference(avatar_component_clause,[],[f13503]) ).
thf(f13509,definition,
( spl2_344
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f13510,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f13509]) ).
thf(f13513,definition,
( spl2_345
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
thf(f13514,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f13513]) ).
thf(f13517,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_62
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f13474,f40]) ).
thf(f13525,definition,
( spl2_346
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).
thf(f13526,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_346 ),
inference(avatar_component_clause,[],[f13525]) ).
thf(f13531,plain,
( spl2_345
| ~ spl2_62
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f13517,f11196,f1356,f13513]) ).
thf(f13537,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(constrained_superposition,[],[f1263,f11194]) ).
thf(f13548,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( 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_282 ),
inference(trivial_inequality_removal,[],[f13537]) ).
thf(f13560,definition,
( spl2_347
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f13561,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f13560]) ).
thf(f13563,definition,
( spl2_348
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).
thf(f13564,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_348 ),
inference(avatar_component_clause,[],[f13563]) ).
thf(f13574,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_343 ),
inference(avatar_component_clause,[],[f13503]) ).
thf(f13575,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_342 ),
inference(avatar_component_clause,[],[f13499]) ).
thf(f13578,definition,
( spl2_351
<=> ! [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_351])],[avatar_definition]) ).
thf(f13579,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_351 ),
inference(avatar_component_clause,[],[f13578]) ).
thf(f13605,definition,
( spl2_353
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f13606,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f13605]) ).
thf(f13612,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_96
| spl2_343 ),
inference(constrained_superposition,[],[f13574,f3368]) ).
thf(f13613,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_343 ),
inference(constrained_superposition,[],[f13574,f51]) ).
thf(f13615,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_96
| spl2_343 ),
inference(trivial_inequality_removal,[],[f13612]) ).
thf(f13617,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_343 ),
inference(trivial_inequality_removal,[],[f13613]) ).
thf(f13619,definition,
( spl2_355
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_355])],[avatar_definition]) ).
thf(f13620,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_355 ),
inference(avatar_component_clause,[],[f13619]) ).
thf(f13622,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_343 ),
inference(forward_subsumption_resolution,[],[f13617,f40]) ).
thf(f13623,plain,
( spl2_355
| spl2_343 ),
inference(avatar_split_clause,[],[f13622,f13503,f13619]) ).
thf(f13671,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284 ),
inference(constrained_superposition,[],[f2427,f11201]) ).
thf(f13673,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284 ),
inference(constrained_superposition,[],[f2454,f11201]) ).
thf(f13679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f57,f11201]) ).
thf(f13695,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f13671]) ).
thf(f13696,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f13679]) ).
thf(f13703,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f13673]) ).
thf(f13713,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f13695,f13620]) ).
thf(f13714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_284
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f13696,f11398]) ).
thf(f13719,definition,
( spl2_356
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_356])],[avatar_definition]) ).
thf(f13720,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_356 ),
inference(avatar_component_clause,[],[f13719]) ).
thf(f13723,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284 ),
inference(forward_subsumption_resolution,[],[f13703,f40]) ).
thf(f13734,plain,
( spl2_331
| spl2_287
| ~ spl2_5
| ~ spl2_62
| ~ spl2_284
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f13713,f13619,f11200,f1356,f91,f11234,f12698]) ).
thf(f13735,plain,
( spl2_339
| ~ spl2_284
| spl2_293 ),
inference(avatar_split_clause,[],[f13714,f11316,f11200,f13488]) ).
thf(f13739,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_62
| ~ spl2_83
| ~ spl2_284 ),
inference(forward_subsumption_resolution,[],[f13723,f2644]) ).
thf(f13741,plain,
( spl2_331
| ~ spl2_5
| ~ spl2_62
| ~ spl2_83
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f13739,f11200,f2643,f1356,f91,f12698]) ).
thf(f13745,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f1263,f11204]) ).
thf(f13760,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f13745]) ).
thf(f13767,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_340 ),
inference(avatar_component_clause,[],[f13491]) ).
thf(f13769,definition,
( spl2_357
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_357])],[avatar_definition]) ).
thf(f13770,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_357 ),
inference(avatar_component_clause,[],[f13769]) ).
thf(f13777,definition,
( spl2_359
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_359])],[avatar_definition]) ).
thf(f13778,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_359 ),
inference(avatar_component_clause,[],[f13777]) ).
thf(f13780,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_340 ),
inference(constrained_superposition,[],[f13767,f77]) ).
thf(f13784,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_340 ),
inference(trivial_inequality_removal,[],[f13780]) ).
thf(f13791,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_359 ),
inference(constrained_superposition,[],[f13778,f177]) ).
thf(f13795,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_359 ),
inference(trivial_inequality_removal,[],[f13791]) ).
thf(f13802,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_359 ),
inference(forward_subsumption_resolution,[],[f13795,f914]) ).
thf(f13803,plain,
( spl2_353
| ~ spl2_17
| ~ spl2_359 ),
inference(avatar_split_clause,[],[f13802,f13777,f218,f13605]) ).
thf(f13816,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_102
| ~ spl2_353 ),
inference(constrained_superposition,[],[f5725,f13606]) ).
thf(f13824,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_353 ),
inference(constrained_superposition,[],[f30,f13606]) ).
thf(f13833,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_102
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f13816]) ).
thf(f13842,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f13824]) ).
thf(f13852,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f13833,f40]) ).
thf(f13857,definition,
( spl2_361
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f13858,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f13857]) ).
thf(f13862,plain,
( spl2_60
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f13842,f13605,f1129]) ).
thf(f13866,plain,
( spl2_361
| spl2_341
| ~ spl2_102
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f13852,f13605,f3400,f13495,f13857]) ).
thf(f13874,plain,
( spl2_342
| ~ spl2_96
| spl2_343 ),
inference(avatar_split_clause,[],[f13615,f13503,f3367,f13499]) ).
thf(f13877,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342 ),
inference(constrained_superposition,[],[f13575,f29]) ).
thf(f13878,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342 ),
inference(trivial_inequality_removal,[],[f13877]) ).
thf(f13879,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f13878,f40]) ).
thf(f13880,plain,
( spl2_347
| spl2_342 ),
inference(avatar_split_clause,[],[f13879,f13499,f13560]) ).
thf(f13881,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_90
| ~ spl2_347 ),
inference(constrained_superposition,[],[f3342,f13561]) ).
thf(f13892,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_90
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f13881]) ).
thf(f13895,plain,
( spl2_343
| ~ spl2_90
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f13892,f13560,f3341,f13503]) ).
thf(f13898,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_93
| ~ spl2_343 ),
inference(constrained_superposition,[],[f4213,f13504]) ).
thf(f13902,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_93
| ~ spl2_343 ),
inference(constrained_superposition,[],[f4210,f13504]) ).
thf(f13903,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_102
| ~ spl2_343 ),
inference(constrained_superposition,[],[f3401,f13504]) ).
thf(f13916,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_102
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f13903]) ).
thf(f13919,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_93
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f13902]) ).
thf(f13923,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_93
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f13898]) ).
thf(f13987,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11423,f177]) ).
thf(f13990,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11423,f11190]) ).
thf(f13993,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f13987]) ).
thf(f13996,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f13990]) ).
thf(f14001,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11417,f50]) ).
thf(f14005,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11417,f177]) ).
thf(f14015,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f14001]) ).
thf(f14017,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f14005]) ).
thf(f14019,plain,
( spl2_331
| ~ spl2_316
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14015,f11416,f11616,f12698]) ).
thf(f14020,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_309 ),
inference(avatar_component_clause,[],[f11430]) ).
thf(f14021,plain,
( spl2_313
| ~ spl2_309
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14017,f11416,f11430,f11596]) ).
thf(f14022,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_316 ),
inference(constrained_superposition,[],[f11617,f50]) ).
thf(f14024,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_316 ),
inference(trivial_inequality_removal,[],[f14022]) ).
thf(f14026,plain,
( spl2_300
| spl2_316 ),
inference(avatar_split_clause,[],[f14024,f11616,f11358]) ).
thf(f14032,definition,
( spl2_364
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_364])],[avatar_definition]) ).
thf(f14033,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_364 ),
inference(avatar_component_clause,[],[f14032]) ).
thf(f14034,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f11299]) ).
thf(f14039,definition,
( spl2_365
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_365])],[avatar_definition]) ).
thf(f14040,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_365 ),
inference(avatar_component_clause,[],[f14039]) ).
thf(f14070,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_90
| ~ spl2_290 ),
inference(constrained_superposition,[],[f3342,f14034]) ).
thf(f14076,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_90
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f14070]) ).
thf(f14082,plain,
( spl2_295
| ~ spl2_90
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f14076,f11299,f3341,f11331]) ).
thf(f14085,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_290 ),
inference(constrained_superposition,[],[f11300,f49]) ).
thf(f14087,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_290 ),
inference(trivial_inequality_removal,[],[f14085]) ).
thf(f14091,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_295 ),
inference(constrained_superposition,[],[f11418,f51]) ).
thf(f14093,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_295 ),
inference(trivial_inequality_removal,[],[f14091]) ).
thf(f14096,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_295 ),
inference(forward_subsumption_resolution,[],[f14093,f40]) ).
thf(f14098,plain,
( spl2_288
| spl2_295 ),
inference(avatar_split_clause,[],[f14096,f11331,f11291]) ).
thf(f14099,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_309 ),
inference(constrained_superposition,[],[f14020,f177]) ).
thf(f14103,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_309 ),
inference(trivial_inequality_removal,[],[f14099]) ).
thf(f14107,plain,
( spl2_298
| spl2_309 ),
inference(avatar_split_clause,[],[f14103,f11430,f11346]) ).
thf(f14153,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_288 ),
inference(constrained_superposition,[],[f3803,f12637]) ).
thf(f14170,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f14153]) ).
thf(f14198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_102
| ~ spl2_313 ),
inference(constrained_superposition,[],[f5725,f11597]) ).
thf(f14206,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_313 ),
inference(constrained_superposition,[],[f30,f11597]) ).
thf(f14209,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_102
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f14198]) ).
thf(f14228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f14206]) ).
thf(f14229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102
| ~ spl2_313 ),
inference(forward_subsumption_resolution,[],[f14209,f40]) ).
thf(f14231,definition,
( spl2_366
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_366])],[avatar_definition]) ).
thf(f14232,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_366 ),
inference(avatar_component_clause,[],[f14231]) ).
thf(f14237,definition,
( spl2_367
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f14238,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f14237]) ).
thf(f14246,plain,
( spl2_60
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f14228,f11596,f1129]) ).
thf(f14247,plain,
( spl2_367
| spl2_312
| ~ spl2_102
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f14229,f11596,f3400,f11565,f14237]) ).
thf(f14257,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_340 ),
inference(forward_subsumption_resolution,[],[f13784,f40]) ).
thf(f14258,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281
| spl2_290 ),
inference(forward_subsumption_resolution,[],[f13341,f11300]) ).
thf(f14264,plain,
( ~ spl2_94
| ~ spl2_83
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f13325,f12183,f2643,f3357]) ).
thf(f14267,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f12653,f40]) ).
thf(f14271,definition,
( spl2_369
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).
thf(f14272,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_369 ),
inference(avatar_component_clause,[],[f14271]) ).
thf(f14276,plain,
( spl2_369
| spl2_341
| ~ spl2_102
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f13916,f13503,f3400,f13495,f14271]) ).
thf(f14277,plain,
( spl2_293
| spl2_290 ),
inference(avatar_split_clause,[],[f14087,f11299,f11316]) ).
thf(f14281,definition,
( spl2_370
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f14282,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_370 ),
inference(avatar_component_clause,[],[f14281]) ).
thf(f14293,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_281
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f13346,f14170]) ).
thf(f14300,plain,
( ~ spl2_94
| ~ spl2_83
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f13382,f11672,f2643,f3357]) ).
thf(f14303,plain,
( spl2_369
| spl2_340 ),
inference(avatar_split_clause,[],[f14257,f13491,f14271]) ).
thf(f14304,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_281
| ~ spl2_288
| spl2_290 ),
inference(forward_subsumption_resolution,[],[f14258,f14170]) ).
thf(f14310,plain,
( spl2_370
| spl2_308 ),
inference(avatar_split_clause,[],[f14267,f11425,f14281]) ).
thf(f14315,plain,
( spl2_330
| ~ spl2_277
| ~ spl2_32
| ~ spl2_88
| ~ spl2_281
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f14293,f11291,f11189,f3332,f806,f11152,f12695]) ).
thf(f14318,plain,
( ~ spl2_316
| ~ spl2_277
| ~ spl2_32
| ~ spl2_88
| ~ spl2_281
| ~ spl2_288
| spl2_290 ),
inference(avatar_split_clause,[],[f14304,f11299,f11291,f11189,f3332,f806,f11152,f11616]) ).
thf(f14326,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_32
| ~ spl2_94 ),
inference(constrained_superposition,[],[f1527,f3358]) ).
thf(f14331,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f14326]) ).
thf(f14333,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_281
| ~ spl2_299 ),
inference(constrained_superposition,[],[f11190,f11350]) ).
thf(f14334,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_282
| ~ spl2_299 ),
inference(constrained_superposition,[],[f11194,f11350]) ).
thf(f14337,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299
| spl2_308 ),
inference(constrained_superposition,[],[f11426,f11350]) ).
thf(f14340,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_299
| spl2_342 ),
inference(constrained_superposition,[],[f13575,f11350]) ).
thf(f14356,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f75,f11350]) ).
thf(f14360,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f85,f11350]) ).
thf(f14362,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f177,f11350]) ).
thf(f14366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f195,f11350]) ).
thf(f14367,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f752,f11350]) ).
thf(f14371,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_90
| ~ spl2_299 ),
inference(constrained_superposition,[],[f3342,f11350]) ).
thf(f14372,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_91
| ~ spl2_299 ),
inference(constrained_superposition,[],[f3346,f11350]) ).
thf(f14374,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_88
| ~ spl2_299 ),
inference(constrained_superposition,[],[f3805,f11350]) ).
thf(f14375,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_299 ),
inference(constrained_superposition,[],[f3812,f11350]) ).
thf(f14409,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_62
| ~ spl2_299 ),
inference(constrained_superposition,[],[f2450,f11350]) ).
thf(f14421,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_13
| ~ spl2_299 ),
inference(constrained_superposition,[],[f4140,f11350]) ).
thf(f14432,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f14360]) ).
thf(f14433,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_91
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f14372]) ).
thf(f14434,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f14366]) ).
thf(f14436,plain,
( $false
| ~ spl2_17
| ~ spl2_299
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f14340,f914]) ).
thf(f14437,plain,
( ~ spl2_17
| ~ spl2_299
| spl2_342 ),
inference(avatar_contradiction_clause,[],[f14436]) ).
thf(f14441,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_23
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14367,f337]) ).
thf(f14445,plain,
( spl2_274
| ~ spl2_281
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14333,f11349,f11189,f11129]) ).
thf(f14446,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14375,f929]) ).
thf(f14450,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_13
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14421,f40]) ).
thf(f14451,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| spl2_25
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14432,f385]) ).
thf(f14452,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_25
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14356,f385]) ).
thf(f14453,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_7
| ~ spl2_91
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14433,f113]) ).
thf(f14457,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_7
| ~ spl2_88
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14374,f113]) ).
thf(f14458,plain,
( ~ spl2_68
| ~ spl2_299
| spl2_308 ),
inference(avatar_split_clause,[],[f14337,f11425,f11349,f1379]) ).
thf(f14460,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| spl2_80
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14434,f1636]) ).
thf(f14462,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_7
| ~ spl2_90
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14371,f113]) ).
thf(f14463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_62
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14409,f40]) ).
thf(f14464,plain,
( spl2_68
| ~ spl2_282
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14334,f11349,f11193,f1379]) ).
thf(f14468,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_23
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14362,f337]) ).
thf(f14472,plain,
( spl2_60
| spl2_23
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14441,f11349,f336,f1129]) ).
thf(f14474,plain,
( $false
| spl2_7
| ~ spl2_32
| ~ spl2_88
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14446,f113]) ).
thf(f14475,plain,
( spl2_7
| ~ spl2_32
| ~ spl2_88
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f14474]) ).
thf(f14479,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_13
| spl2_80
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14450,f1636]) ).
thf(f14480,plain,
( spl2_117
| spl2_25
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14451,f11349,f384,f6088]) ).
thf(f14481,plain,
( $false
| spl2_7
| spl2_25
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14452,f113]) ).
thf(f14482,plain,
( spl2_7
| spl2_25
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f14481]) ).
thf(f14483,plain,
( spl2_114
| spl2_7
| ~ spl2_91
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14453,f11349,f3345,f112,f6035]) ).
thf(f14484,plain,
( spl2_116
| spl2_7
| ~ spl2_88
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14457,f11349,f3332,f112,f6043]) ).
thf(f14486,plain,
( spl2_118
| spl2_80
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14460,f11349,f1635,f6098]) ).
thf(f14488,plain,
( $false
| spl2_7
| ~ spl2_90
| ~ spl2_94
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14462,f3358]) ).
thf(f14489,plain,
( spl2_7
| ~ spl2_90
| ~ spl2_94
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f14488]) ).
thf(f14490,plain,
( spl2_60
| ~ spl2_62
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f14463,f11349,f1356,f1129]) ).
thf(f14492,plain,
( $false
| spl2_23
| spl2_80
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14468,f1636]) ).
thf(f14493,plain,
( spl2_23
| spl2_80
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f14492]) ).
thf(f14497,plain,
( $false
| ~ spl2_11
| ~ spl2_13
| spl2_80
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f14479,f792]) ).
thf(f14498,plain,
( ~ spl2_11
| ~ spl2_13
| spl2_80
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f14497]) ).
thf(f14537,definition,
( spl2_374
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_374])],[avatar_definition]) ).
thf(f14538,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_374 ),
inference(avatar_component_clause,[],[f14537]) ).
thf(f14544,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_17
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1618,f6046]) ).
thf(f14545,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_68
| ~ spl2_89 ),
inference(constrained_superposition,[],[f3337,f6046]) ).
thf(f14551,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_68 ),
inference(constrained_superposition,[],[f3429,f6046]) ).
thf(f14560,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f14551]) ).
thf(f14564,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_68
| ~ spl2_89 ),
inference(trivial_inequality_removal,[],[f14545]) ).
thf(f14572,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_17
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f14544]) ).
thf(f14582,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_96
| spl2_274 ),
inference(constrained_superposition,[],[f11130,f3368]) ).
thf(f14585,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_96
| spl2_274 ),
inference(trivial_inequality_removal,[],[f14582]) ).
thf(f14619,plain,
( $false
| ~ spl2_105
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f11398,f3773]) ).
thf(f14620,plain,
( ~ spl2_105
| spl2_293 ),
inference(avatar_contradiction_clause,[],[f14619]) ).
thf(f14621,plain,
( spl2_331
| ~ spl2_342
| spl2_290
| ~ spl2_374
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f13760,f11203,f14537,f11299,f13499,f12698]) ).
thf(f14623,definition,
( spl2_375
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_375])],[avatar_definition]) ).
thf(f14624,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_375 ),
inference(avatar_component_clause,[],[f14623]) ).
thf(f14626,plain,
( spl2_353
| ~ spl2_342
| ~ spl2_93
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f13923,f13503,f3354,f13499,f13605]) ).
thf(f14627,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f4234,f914]) ).
thf(f14628,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| spl2_39
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f14560,f909]) ).
thf(f14630,plain,
( spl2_341
| spl2_353
| ~ spl2_342
| ~ spl2_93
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f13919,f13503,f3354,f13499,f13605,f13495]) ).
thf(f14632,plain,
( spl2_277
| ~ spl2_96
| spl2_274 ),
inference(avatar_split_clause,[],[f14585,f11129,f3367,f11152]) ).
thf(f14634,plain,
( spl2_13
| ~ spl2_4
| ~ spl2_11
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f14627,f218,f198,f88,f205]) ).
thf(f14635,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_39
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f14628,f40]) ).
thf(f14637,plain,
( spl2_13
| ~ spl2_4
| spl2_39
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f14635,f1379,f908,f88,f205]) ).
thf(f14643,definition,
( spl2_377
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_377])],[avatar_definition]) ).
thf(f14644,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ~ spl2_377 ),
inference(avatar_component_clause,[],[f14643]) ).
thf(f14647,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_85
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f3322,f3368]) ).
thf(f14652,plain,
( spl2_27
| ~ spl2_85
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f14647,f3367,f3321,f781]) ).
thf(f14656,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f14644,f49]) ).
thf(f14658,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f14656]) ).
thf(f14662,plain,
( spl2_105
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f14658,f14643,f3772]) ).
thf(f14705,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_102
| ~ spl2_274 ),
inference(constrained_superposition,[],[f3401,f11310]) ).
thf(f14715,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_102
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f14705]) ).
thf(f14750,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_11 ),
inference(constrained_superposition,[],[f95,f792]) ).
thf(f14754,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f14750]) ).
thf(f14761,plain,
( $false
| ~ spl2_6
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f14754,f914]) ).
thf(f14762,plain,
( ~ spl2_6
| ~ spl2_11
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f14761]) ).
thf(f14766,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_32
| ~ spl2_83
| ~ spl2_94 ),
inference(constrained_superposition,[],[f14331,f2644]) ).
thf(f14777,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_83
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f14766]) ).
thf(f14783,plain,
( spl2_377
| ~ spl2_32
| ~ spl2_83
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f14777,f3357,f2643,f806,f14643]) ).
thf(f14797,plain,
( ~ spl2_7
| ~ spl2_4
| ~ spl2_68
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f14564,f3336,f1379,f88,f112]) ).
thf(f14810,plain,
( spl2_271
| spl2_289
| ~ spl2_102
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f14715,f11129,f3400,f11294,f11118]) ).
thf(f14811,plain,
( ~ spl2_23
| spl2_313
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f13993,f11422,f11596,f336]) ).
thf(f14812,plain,
( ~ spl2_291
| ~ spl2_281
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f13996,f11422,f11189,f11304]) ).
thf(f14815,plain,
( ~ spl2_4
| spl2_102
| ~ spl2_17
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f14572,f1379,f218,f3400,f88]) ).
thf(f14821,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_11
| ~ spl2_18 ),
inference(constrained_superposition,[],[f792,f244]) ).
thf(f14823,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_17
| ~ spl2_18 ),
inference(constrained_superposition,[],[f914,f244]) ).
thf(f14837,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_68 ),
inference(constrained_superposition,[],[f6046,f244]) ).
thf(f14844,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| spl2_308 ),
inference(constrained_superposition,[],[f11426,f244]) ).
thf(f14845,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_343 ),
inference(constrained_superposition,[],[f13504,f244]) ).
thf(f14860,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_90 ),
inference(constrained_superposition,[],[f3342,f244]) ).
thf(f14865,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_32
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3812,f244]) ).
thf(f14871,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_18
| ~ spl2_377 ),
inference(constrained_superposition,[],[f14644,f244]) ).
thf(f14921,plain,
( $false
| ~ spl2_18
| ~ spl2_274
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f14844,f11310]) ).
thf(f14922,plain,
( ~ spl2_18
| ~ spl2_274
| spl2_308 ),
inference(avatar_contradiction_clause,[],[f14921]) ).
thf(f14924,plain,
( spl2_7
| ~ spl2_11
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f14821,f243,f198,f112]) ).
thf(f14928,plain,
( spl2_7
| ~ spl2_18
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f14837,f1379,f243,f112]) ).
thf(f14929,plain,
( ~ spl2_39
| ~ spl2_18
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f14871,f14643,f243,f908]) ).
thf(f14930,plain,
( spl2_295
| ~ spl2_18
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f14845,f13503,f243,f11331]) ).
thf(f14932,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_32
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f14865,f929]) ).
thf(f14935,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_90
| ~ spl2_94 ),
inference(forward_subsumption_resolution,[],[f14860,f3358]) ).
thf(f14937,plain,
( spl2_4
| ~ spl2_17
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f14823,f243,f218,f88]) ).
thf(f14940,plain,
( spl2_7
| ~ spl2_18
| ~ spl2_32
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f14932,f3332,f806,f243,f112]) ).
thf(f14941,plain,
( spl2_7
| ~ spl2_18
| ~ spl2_90
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f14935,f3357,f3341,f243,f112]) ).
thf(f14960,definition,
( spl2_382
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_382])],[avatar_definition]) ).
thf(f14961,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_382 ),
inference(avatar_component_clause,[],[f14960]) ).
thf(f14969,definition,
( spl2_384
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_384])],[avatar_definition]) ).
thf(f14970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_384 ),
inference(avatar_component_clause,[],[f14969]) ).
thf(f14978,definition,
( spl2_386
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).
thf(f14979,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_386 ),
inference(avatar_component_clause,[],[f14978]) ).
thf(f14982,definition,
( spl2_387
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_387])],[avatar_definition]) ).
thf(f14983,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_387 ),
inference(avatar_component_clause,[],[f14982]) ).
thf(f14986,definition,
( spl2_388
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_388])],[avatar_definition]) ).
thf(f14987,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_388 ),
inference(avatar_component_clause,[],[f14986]) ).
thf(f15000,definition,
( spl2_389
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_389])],[avatar_definition]) ).
thf(f15001,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl2_389 ),
inference(avatar_component_clause,[],[f15000]) ).
thf(f15011,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_9
| ~ spl2_96 ),
inference(constrained_superposition,[],[f119,f3368]) ).
thf(f15012,plain,
( ( $true != $true )
| ~ spl2_9
| ~ spl2_274 ),
inference(constrained_superposition,[],[f119,f11310]) ).
thf(f15013,plain,
( $false
| ~ spl2_9
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f15012]) ).
thf(f15014,plain,
( ~ spl2_9
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f15013]) ).
thf(f15018,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_9
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f15011]) ).
thf(f15019,plain,
( spl2_124
| ~ spl2_9
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f15018,f3367,f118,f6160]) ).
thf(f15030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f24,f3339]) ).
thf(f15033,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f15030]) ).
thf(f15041,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f334,f50]) ).
thf(f15043,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f334,f75]) ).
thf(f15048,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f15041]) ).
thf(f15049,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f15043]) ).
thf(f15050,plain,
( spl2_20
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f15048,f333,f262]) ).
thf(f15051,plain,
( spl2_28
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f15049,f333,f784]) ).
thf(f15052,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_90 ),
inference(constrained_superposition,[],[f3342,f3950]) ).
thf(f15053,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_39 ),
inference(constrained_superposition,[],[f1527,f3950]) ).
thf(f15054,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3805,f3950]) ).
thf(f15058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f15053]) ).
thf(f15059,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_39
| ~ spl2_90 ),
inference(trivial_inequality_removal,[],[f15052]) ).
thf(f15060,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f15054]) ).
thf(f15062,plain,
( spl2_11
| ~ spl2_39
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f15059,f3341,f908,f198]) ).
thf(f15063,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f15060,f929]) ).
thf(f15064,plain,
( spl2_11
| ~ spl2_32
| ~ spl2_39
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f15063,f3332,f908,f806,f198]) ).
thf(f15067,plain,
( ~ spl2_302
| spl2_346
| ~ spl2_293
| spl2_347
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f13548,f11193,f13560,f11316,f13525,f11400]) ).
thf(f15074,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_274
| ~ spl2_289 ),
inference(constrained_superposition,[],[f11310,f11295]) ).
thf(f15076,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_289
| spl2_308 ),
inference(constrained_superposition,[],[f11426,f11295]) ).
thf(f15078,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f177,f11295]) ).
thf(f15083,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f752,f11295]) ).
thf(f15160,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_80
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f15078,f1636]) ).
thf(f15161,plain,
( ~ spl2_291
| ~ spl2_289
| spl2_308 ),
inference(avatar_split_clause,[],[f15076,f11425,f11294,f11304]) ).
thf(f15163,plain,
( spl2_11
| ~ spl2_274
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f15074,f11294,f11129,f198]) ).
thf(f15165,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f336]) ).
thf(f15174,plain,
( spl2_60
| spl2_23
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f15083,f11294,f336,f1129]) ).
thf(f15177,plain,
( spl2_23
| spl2_80
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f15160,f11294,f1635,f336]) ).
thf(f15183,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f1234,f792]) ).
thf(f15189,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f24,f792]) ).
thf(f15190,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f15183]) ).
thf(f15192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f15189]) ).
thf(f15198,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11
| spl2_94 ),
inference(forward_subsumption_resolution,[],[f15190,f3365]) ).
thf(f15199,plain,
( spl2_389
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f15192,f198,f15000]) ).
thf(f15201,plain,
( spl2_93
| ~ spl2_11
| spl2_94 ),
inference(avatar_split_clause,[],[f15198,f3357,f198,f3354]) ).
thf(f15204,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_68 ),
inference(constrained_superposition,[],[f1380,f29]) ).
thf(f15205,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_68 ),
inference(trivial_inequality_removal,[],[f15204]) ).
thf(f15208,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_18
| spl2_68 ),
inference(forward_subsumption_resolution,[],[f15205,f11045]) ).
thf(f15210,plain,
( spl2_28
| spl2_18
| spl2_68 ),
inference(avatar_split_clause,[],[f15208,f1379,f243,f784]) ).
thf(f15213,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f57,f785]) ).
thf(f15219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f15213]) ).
thf(f15221,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_17
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f15219,f219]) ).
thf(f15222,plain,
( spl2_78
| spl2_17
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f15221,f784,f218,f1505]) ).
thf(f15246,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_384 ),
inference(constrained_superposition,[],[f14970,f76]) ).
thf(f15249,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f15246]) ).
thf(f15250,plain,
( spl2_387
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f15249,f14969,f14982]) ).
thf(f15298,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_23
| ~ spl2_96 ),
inference(constrained_superposition,[],[f4554,f15165]) ).
thf(f15316,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_96 ),
inference(duplicate_literal_removal,[],[f15298]) ).
thf(f15317,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_23
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f15316]) ).
thf(f15326,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_23
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f15317,f3368]) ).
thf(f15329,definition,
( spl2_390
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_390])],[avatar_definition]) ).
thf(f15330,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_390 ),
inference(avatar_component_clause,[],[f15329]) ).
thf(f15332,definition,
( spl2_391
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_391])],[avatar_definition]) ).
thf(f15333,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_391 ),
inference(avatar_component_clause,[],[f15332]) ).
thf(f15335,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_17
| ~ spl2_23
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f15326,f219]) ).
thf(f15336,plain,
( spl2_22
| spl2_17
| ~ spl2_23
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f15335,f3367,f336,f218,f333]) ).
thf(f15337,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f752,f331]) ).
thf(f15349,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_32 ),
inference(constrained_superposition,[],[f1579,f331]) ).
thf(f15351,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f30,f331]) ).
thf(f15363,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f15349]) ).
thf(f15364,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f15337]) ).
thf(f15366,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f15351]) ).
thf(f15374,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| spl2_17
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_subsumption_resolution,[],[f15363,f219]) ).
thf(f15375,plain,
( spl2_47
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f15364,f330,f948]) ).
thf(f15377,plain,
( spl2_60
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f15366,f330,f1129]) ).
thf(f15378,plain,
( spl2_377
| spl2_17
| ~ spl2_21
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f15374,f806,f330,f218,f14643]) ).
thf(f15379,plain,
( ( $true != $true )
| ~ spl2_37
| spl2_308 ),
inference(constrained_superposition,[],[f11426,f896]) ).
thf(f15380,plain,
( ( $true != $true )
| ~ spl2_37
| spl2_340 ),
inference(constrained_superposition,[],[f13767,f896]) ).
thf(f15401,plain,
( $false
| ~ spl2_37
| spl2_340 ),
inference(trivial_inequality_removal,[],[f15380]) ).
thf(f15402,plain,
( ~ spl2_37
| spl2_340 ),
inference(avatar_contradiction_clause,[],[f15401]) ).
thf(f15405,plain,
( $false
| ~ spl2_37
| spl2_308 ),
inference(trivial_inequality_removal,[],[f15379]) ).
thf(f15406,plain,
( ~ spl2_37
| spl2_308 ),
inference(avatar_contradiction_clause,[],[f15405]) ).
thf(f15417,plain,
( $false
| ~ spl2_37
| spl2_291 ),
inference(forward_subsumption_resolution,[],[f12655,f896]) ).
thf(f15418,plain,
( ~ spl2_37
| spl2_291 ),
inference(avatar_contradiction_clause,[],[f15417]) ).
thf(f15435,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_298 ),
inference(constrained_superposition,[],[f1579,f11347]) ).
thf(f15441,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f15435]) ).
thf(f15446,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_17
| ~ spl2_32
| ~ spl2_298 ),
inference(forward_subsumption_resolution,[],[f15441,f219]) ).
thf(f15449,plain,
( ~ spl2_272
| spl2_17
| ~ spl2_32
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f15446,f11346,f806,f218,f11121]) ).
thf(f15455,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_302 ),
inference(constrained_superposition,[],[f11401,f50]) ).
thf(f15458,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f15455]) ).
thf(f15460,plain,
( spl2_331
| spl2_302 ),
inference(avatar_split_clause,[],[f15458,f11400,f12698]) ).
thf(f15461,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_331 ),
inference(constrained_superposition,[],[f3812,f12699]) ).
thf(f15466,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_91
| ~ spl2_331 ),
inference(constrained_superposition,[],[f3346,f12699]) ).
thf(f15469,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f15466]) ).
thf(f15473,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f15461]) ).
thf(f15515,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_346 ),
inference(constrained_superposition,[],[f3812,f13526]) ).
thf(f15523,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f15515]) ).
thf(f15531,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_374 ),
inference(constrained_superposition,[],[f14538,f50]) ).
thf(f15533,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_374 ),
inference(trivial_inequality_removal,[],[f15531]) ).
thf(f15555,plain,
( $false
| ~ spl2_110
| spl2_343 ),
inference(forward_subsumption_resolution,[],[f13574,f4036]) ).
thf(f15556,plain,
( ~ spl2_110
| spl2_343 ),
inference(avatar_contradiction_clause,[],[f15555]) ).
thf(f15558,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_355
| ~ spl2_384 ),
inference(constrained_superposition,[],[f14970,f13620]) ).
thf(f15571,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_355
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f15558]) ).
thf(f15577,plain,
( spl2_299
| ~ spl2_355
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f15571,f14969,f13619,f11349]) ).
thf(f15580,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_73
| ~ spl2_370 ),
inference(constrained_superposition,[],[f1401,f14282]) ).
thf(f15587,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_73
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f15580]) ).
thf(f15598,plain,
( ~ spl2_290
| ~ spl2_73
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f15587,f14281,f1400,f11299]) ).
thf(f15604,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f1506,f178]) ).
thf(f15613,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f15604]) ).
thf(f15638,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_278
| ~ spl2_330 ),
inference(constrained_superposition,[],[f12696,f11180]) ).
thf(f15643,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_278
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f15638]) ).
thf(f15648,plain,
( $false
| ~ spl2_278
| ~ spl2_293
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f15643,f11317]) ).
thf(f15649,plain,
( ~ spl2_278
| ~ spl2_293
| ~ spl2_330 ),
inference(avatar_contradiction_clause,[],[f15648]) ).
thf(f15675,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_353 ),
inference(constrained_superposition,[],[f15058,f13606]) ).
thf(f15687,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f15675]) ).
thf(f15690,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_353 ),
inference(constrained_superposition,[],[f15687,f49]) ).
thf(f15692,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f15690]) ).
thf(f15696,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_78
| ~ spl2_369 ),
inference(constrained_superposition,[],[f1506,f14272]) ).
thf(f15702,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_369 ),
inference(constrained_superposition,[],[f1579,f14272]) ).
thf(f15707,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_78
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f15696]) ).
thf(f15710,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f15702]) ).
thf(f15717,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_369 ),
inference(constrained_superposition,[],[f15707,f76]) ).
thf(f15720,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_78
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f15717]) ).
thf(f15734,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_298
| ~ spl2_334 ),
inference(constrained_superposition,[],[f13050,f11347]) ).
thf(f15740,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_298
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f15734]) ).
thf(f15746,plain,
( ~ spl2_19
| ~ spl2_298
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f15740,f13049,f11346,f246]) ).
thf(f15763,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_285
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11405,f11204]) ).
thf(f15764,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_281
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11405,f11190]) ).
thf(f15770,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_285
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15763]) ).
thf(f15772,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_281
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15764]) ).
thf(f15774,plain,
( $false
| ~ spl2_285
| ~ spl2_303
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f15770,f13500]) ).
thf(f15775,plain,
( ~ spl2_285
| ~ spl2_303
| ~ spl2_342 ),
inference(avatar_contradiction_clause,[],[f15774]) ).
thf(f15776,plain,
( $false
| ~ spl2_277
| ~ spl2_281
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f15772,f11297]) ).
thf(f15777,plain,
( ~ spl2_277
| ~ spl2_281
| ~ spl2_303 ),
inference(avatar_contradiction_clause,[],[f15776]) ).
thf(f15779,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_300
| ~ spl2_334 ),
inference(constrained_superposition,[],[f13050,f11359]) ).
thf(f15795,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_300
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f15779]) ).
thf(f15796,plain,
( $false
| ~ spl2_32
| ~ spl2_300
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f15795,f929]) ).
thf(f15797,plain,
( ~ spl2_32
| ~ spl2_300
| ~ spl2_334 ),
inference(avatar_contradiction_clause,[],[f15796]) ).
thf(f15832,plain,
( spl2_343
| ~ spl2_32
| ~ spl2_88
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f15523,f13525,f3332,f806,f13503]) ).
thf(f15833,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_91
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f15469,f929]) ).
thf(f15836,definition,
( spl2_395
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_395])],[avatar_definition]) ).
thf(f15837,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_395 ),
inference(avatar_component_clause,[],[f15836]) ).
thf(f15841,plain,
( spl2_343
| ~ spl2_78
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f15720,f14271,f1505,f13503]) ).
thf(f15842,plain,
( spl2_295
| ~ spl2_32
| ~ spl2_88
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f15473,f12698,f3332,f806,f11331]) ).
thf(f15843,plain,
( spl2_295
| ~ spl2_32
| ~ spl2_91
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f15833,f12698,f3345,f806,f11331]) ).
thf(f15931,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_282
| ~ spl2_359 ),
inference(constrained_superposition,[],[f13778,f11194]) ).
thf(f15939,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_282
| ~ spl2_359 ),
inference(trivial_inequality_removal,[],[f15931]) ).
thf(f15940,plain,
( $false
| ~ spl2_282
| ~ spl2_293
| ~ spl2_359 ),
inference(forward_subsumption_resolution,[],[f15939,f11317]) ).
thf(f15941,plain,
( ~ spl2_282
| ~ spl2_293
| ~ spl2_359 ),
inference(avatar_contradiction_clause,[],[f15940]) ).
thf(f15946,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_300
| ~ spl2_332 ),
inference(constrained_superposition,[],[f12851,f11359]) ).
thf(f15953,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_300
| ~ spl2_332 ),
inference(trivial_inequality_removal,[],[f15946]) ).
thf(f15957,plain,
( $false
| ~ spl2_39
| ~ spl2_300
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f15953,f3950]) ).
thf(f15958,plain,
( ~ spl2_39
| ~ spl2_300
| ~ spl2_332 ),
inference(avatar_contradiction_clause,[],[f15957]) ).
thf(f15978,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_20 ),
inference(avatar_component_clause,[],[f262]) ).
thf(f15987,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_117 ),
inference(constrained_superposition,[],[f6089,f792]) ).
thf(f15996,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f15987]) ).
thf(f16000,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_117
| ~ spl2_309 ),
inference(constrained_superposition,[],[f15996,f11431]) ).
thf(f16008,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_117
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f16000]) ).
thf(f16013,plain,
( $false
| ~ spl2_11
| ~ spl2_117
| ~ spl2_274
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f16008,f11310]) ).
thf(f16014,plain,
( ~ spl2_11
| ~ spl2_117
| ~ spl2_274
| ~ spl2_309 ),
inference(avatar_contradiction_clause,[],[f16013]) ).
thf(f16085,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_282
| ~ spl2_375 ),
inference(constrained_superposition,[],[f14624,f11194]) ).
thf(f16092,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_282
| ~ spl2_375 ),
inference(trivial_inequality_removal,[],[f16085]) ).
thf(f16094,plain,
( $false
| ~ spl2_282
| ~ spl2_295
| ~ spl2_375 ),
inference(forward_subsumption_resolution,[],[f16092,f11332]) ).
thf(f16095,plain,
( ~ spl2_282
| ~ spl2_295
| ~ spl2_375 ),
inference(avatar_contradiction_clause,[],[f16094]) ).
thf(f16097,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f15710,f3950]) ).
thf(f16098,plain,
( spl2_342
| ~ spl2_32
| ~ spl2_39
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f15692,f13605,f908,f806,f13499]) ).
thf(f16101,definition,
( spl2_396
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_396])],[avatar_definition]) ).
thf(f16102,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_396 ),
inference(avatar_component_clause,[],[f16101]) ).
thf(f16108,plain,
( spl2_342
| ~ spl2_32
| ~ spl2_39
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f16097,f14271,f908,f806,f13499]) ).
thf(f16111,plain,
( spl2_346
| spl2_374 ),
inference(avatar_split_clause,[],[f15533,f14537,f13525]) ).
thf(f16179,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_331
| ~ spl2_366 ),
inference(constrained_superposition,[],[f14232,f12699]) ).
thf(f16182,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_331
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f16179]) ).
thf(f16190,plain,
( $false
| ~ spl2_39
| ~ spl2_331
| ~ spl2_366 ),
inference(forward_subsumption_resolution,[],[f16182,f3950]) ).
thf(f16191,plain,
( ~ spl2_39
| ~ spl2_331
| ~ spl2_366 ),
inference(avatar_contradiction_clause,[],[f16190]) ).
thf(f16472,definition,
( spl2_397
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_397])],[avatar_definition]) ).
thf(f16473,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_397 ),
inference(avatar_component_clause,[],[f16472]) ).
thf(f16524,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_280 ),
inference(constrained_superposition,[],[f3346,f11187]) ).
thf(f16526,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_280 ),
inference(constrained_superposition,[],[f3805,f11187]) ).
thf(f16531,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f16526]) ).
thf(f16532,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_91
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f16524]) ).
thf(f16557,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_278
| ~ spl2_397 ),
inference(constrained_superposition,[],[f16473,f11180]) ).
thf(f16568,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_278
| ~ spl2_397 ),
inference(trivial_inequality_removal,[],[f16557]) ).
thf(f16577,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f16568,f11310]) ).
thf(f16581,plain,
( $false
| ~ spl2_274
| ~ spl2_277
| ~ spl2_278
| ~ spl2_397 ),
inference(forward_subsumption_resolution,[],[f16577,f11297]) ).
thf(f16582,plain,
( ~ spl2_274
| ~ spl2_277
| ~ spl2_278
| ~ spl2_397 ),
inference(avatar_contradiction_clause,[],[f16581]) ).
thf(f16586,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_355 ),
inference(avatar_component_clause,[],[f13619]) ).
thf(f16757,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_280
| ~ spl2_366 ),
inference(constrained_superposition,[],[f14232,f11187]) ).
thf(f16764,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_280
| ~ spl2_366 ),
inference(trivial_inequality_removal,[],[f16757]) ).
thf(f16771,plain,
( $false
| ~ spl2_280
| ~ spl2_298
| ~ spl2_366 ),
inference(forward_subsumption_resolution,[],[f16764,f11347]) ).
thf(f16772,plain,
( ~ spl2_280
| ~ spl2_298
| ~ spl2_366 ),
inference(avatar_contradiction_clause,[],[f16771]) ).
thf(f16791,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_357 ),
inference(constrained_superposition,[],[f13770,f50]) ).
thf(f16803,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_357 ),
inference(trivial_inequality_removal,[],[f16791]) ).
thf(f16810,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_274 ),
inference(constrained_superposition,[],[f15033,f11310]) ).
thf(f16815,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f16810]) ).
thf(f16835,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f14979,f76]) ).
thf(f16836,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_288
| ~ spl2_386 ),
inference(constrained_superposition,[],[f14979,f12637]) ).
thf(f16839,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f16835]) ).
thf(f16840,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_288
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f16836]) ).
thf(f16841,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f16839,f40]) ).
thf(f16842,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_288
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f16840,f40]) ).
thf(f16843,plain,
( spl2_388
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f16841,f14978,f14986]) ).
thf(f16844,plain,
( spl2_312
| ~ spl2_288
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f16842,f14978,f11291,f11565]) ).
thf(f16882,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_351 ),
inference(constrained_superposition,[],[f13579,f50]) ).
thf(f16886,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_351 ),
inference(constrained_superposition,[],[f13579,f177]) ).
thf(f16893,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f16882]) ).
thf(f16894,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f16886]) ).
thf(f16908,plain,
( spl2_31
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f15613,f1505,f802]) ).
thf(f16911,definition,
( spl2_398
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_398])],[avatar_definition]) ).
thf(f16912,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_398 ),
inference(avatar_component_clause,[],[f16911]) ).
thf(f16913,plain,
( ~ spl2_277
| spl2_398
| ~ spl2_4
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f16815,f11129,f88,f16911,f11152]) ).
thf(f16927,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_28
| ~ spl2_92 ),
inference(constrained_superposition,[],[f897,f3351]) ).
thf(f16928,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_28
| ~ spl2_86 ),
inference(constrained_superposition,[],[f897,f3326]) ).
thf(f16931,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_28
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f16927]) ).
thf(f16932,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_28
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f16928]) ).
thf(f16934,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_20
| spl2_28
| ~ spl2_92 ),
inference(forward_subsumption_resolution,[],[f16931,f15978]) ).
thf(f16935,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_28
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f16932,f40]) ).
thf(f16937,plain,
( $false
| spl2_18
| spl2_20
| spl2_28
| ~ spl2_92 ),
inference(forward_subsumption_resolution,[],[f16934,f11045]) ).
thf(f16938,plain,
( spl2_18
| spl2_20
| spl2_28
| ~ spl2_92 ),
inference(avatar_contradiction_clause,[],[f16937]) ).
thf(f16939,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_18
| spl2_28
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f16935,f11045]) ).
thf(f16940,plain,
( $false
| spl2_18
| spl2_20
| spl2_28
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f16939,f15978]) ).
thf(f16941,plain,
( spl2_18
| spl2_20
| spl2_28
| ~ spl2_86 ),
inference(avatar_contradiction_clause,[],[f16940]) ).
thf(f16972,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f24,f6046]) ).
thf(f16974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f16972]) ).
thf(f16996,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_343 ),
inference(constrained_superposition,[],[f95,f13504]) ).
thf(f16998,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f16996]) ).
thf(f17005,plain,
( spl2_346
| ~ spl2_24
| ~ spl2_357 ),
inference(avatar_split_clause,[],[f16803,f13769,f340,f13525]) ).
thf(f17006,plain,
( ~ spl2_342
| ~ spl2_6
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f16998,f13503,f94,f13499]) ).
thf(f17007,plain,
( spl2_346
| ~ spl2_302
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f16893,f13578,f11400,f13525]) ).
thf(f17009,definition,
( spl2_400
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_400])],[avatar_definition]) ).
thf(f17010,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_400 ),
inference(avatar_component_clause,[],[f17009]) ).
thf(f17011,plain,
( spl2_353
| ~ spl2_400
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f16894,f13578,f17009,f13605]) ).
thf(f17017,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_291 ),
inference(constrained_superposition,[],[f4554,f11305]) ).
thf(f17035,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_96
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f17017]) ).
thf(f17045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_17
| ~ spl2_96
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f17035,f219]) ).
thf(f17048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_17
| ~ spl2_96
| ~ spl2_274
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f17045,f11310]) ).
thf(f17051,plain,
( spl2_328
| spl2_17
| ~ spl2_96
| ~ spl2_274
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f17048,f11304,f11129,f3367,f218,f12685]) ).
thf(f17093,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_291 ),
inference(constrained_superposition,[],[f12655,f77]) ).
thf(f17097,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_291 ),
inference(trivial_inequality_removal,[],[f17093]) ).
thf(f17100,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_291 ),
inference(forward_subsumption_resolution,[],[f17097,f40]) ).
thf(f17103,plain,
( spl2_271
| spl2_291 ),
inference(avatar_split_clause,[],[f17100,f11304,f11118]) ).
thf(f17104,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_60
| ~ spl2_271 ),
inference(constrained_superposition,[],[f1130,f11119]) ).
thf(f17110,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_271 ),
inference(constrained_superposition,[],[f1579,f11119]) ).
thf(f17114,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_60
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f17104]) ).
thf(f17116,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f17110]) ).
thf(f17120,plain,
( spl2_333
| ~ spl2_60
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f17114,f11118,f1129,f12858]) ).
thf(f17121,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_39
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f17116,f3950]) ).
thf(f17123,plain,
( $false
| ~ spl2_32
| ~ spl2_39
| ~ spl2_271
| spl2_277 ),
inference(forward_subsumption_resolution,[],[f17121,f11153]) ).
thf(f17124,plain,
( ~ spl2_32
| ~ spl2_39
| ~ spl2_271
| spl2_277 ),
inference(avatar_contradiction_clause,[],[f17123]) ).
thf(f17130,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f57,f263]) ).
thf(f17133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f17130]) ).
thf(f17138,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_17
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f17133,f219]) ).
thf(f17139,plain,
( spl2_73
| spl2_17
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f17138,f262,f218,f1400]) ).
thf(f17176,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_60
| ~ spl2_370 ),
inference(constrained_superposition,[],[f1130,f14282]) ).
thf(f17190,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_60
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f17176]) ).
thf(f17193,plain,
( spl2_367
| ~ spl2_60
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f17190,f14281,f1129,f14237]) ).
thf(f17195,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_89
| ~ spl2_308 ),
inference(constrained_superposition,[],[f3337,f11679]) ).
thf(f17196,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_308 ),
inference(constrained_superposition,[],[f4554,f11679]) ).
thf(f17212,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f17196]) ).
thf(f17214,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_89
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f17195]) ).
thf(f17238,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_96
| ~ spl2_340 ),
inference(constrained_superposition,[],[f4554,f13492]) ).
thf(f17249,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f17238]) ).
thf(f17273,definition,
( spl2_404
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_404])],[avatar_definition]) ).
thf(f17274,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_404 ),
inference(avatar_component_clause,[],[f17273]) ).
thf(f17293,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_404 ),
inference(constrained_superposition,[],[f17274,f75]) ).
thf(f17296,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_404 ),
inference(trivial_inequality_removal,[],[f17293]) ).
thf(f17361,plain,
( ~ spl2_288
| spl2_274
| ~ spl2_88
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f16531,f11186,f3332,f11129,f11291]) ).
thf(f17364,plain,
( ~ spl2_296
| spl2_295
| ~ spl2_91
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f16532,f11186,f3345,f11331,f11334]) ).
thf(f17368,definition,
( spl2_405
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_405])],[avatar_definition]) ).
thf(f17369,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_405 ),
inference(avatar_component_clause,[],[f17368]) ).
thf(f17371,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_17
| ~ spl2_96
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f17212,f219]) ).
thf(f17374,definition,
( spl2_406
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).
thf(f17375,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_406 ),
inference(avatar_component_clause,[],[f17374]) ).
thf(f17377,plain,
( spl2_307
| ~ spl2_295
| spl2_17
| ~ spl2_96
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f17371,f11425,f3367,f218,f11331,f11422]) ).
thf(f17470,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_295 ),
inference(constrained_superposition,[],[f15033,f11332]) ).
thf(f17480,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f17470]) ).
thf(f17488,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_293
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f17480,f11317]) ).
thf(f17491,plain,
( spl2_406
| ~ spl2_4
| ~ spl2_293
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f17488,f11331,f11316,f88,f17374]) ).
thf(f17515,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_328 ),
inference(constrained_superposition,[],[f12686,f11180]) ).
thf(f17523,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f17515]) ).
thf(f17525,plain,
( $false
| ~ spl2_278
| ~ spl2_308
| ~ spl2_328 ),
inference(forward_subsumption_resolution,[],[f17523,f11679]) ).
thf(f17526,plain,
( ~ spl2_278
| ~ spl2_308
| ~ spl2_328 ),
inference(avatar_contradiction_clause,[],[f17525]) ).
thf(f17541,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f17375,f177]) ).
thf(f17546,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f17541]) ).
thf(f17550,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_11
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f17546,f792]) ).
thf(f17551,plain,
( spl2_313
| ~ spl2_11
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f17550,f17374,f198,f11596]) ).
thf(f17560,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_313 ),
inference(constrained_superposition,[],[f1579,f11597]) ).
thf(f17570,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f17560]) ).
thf(f17580,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f30,f11197]) ).
thf(f17581,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f17580]) ).
thf(f17636,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_367 ),
inference(constrained_superposition,[],[f14238,f11187]) ).
thf(f17640,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_331
| ~ spl2_367 ),
inference(constrained_superposition,[],[f14238,f12699]) ).
thf(f17645,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_280
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f17636]) ).
thf(f17646,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_331
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f17640]) ).
thf(f17651,plain,
( $false
| ~ spl2_271
| ~ spl2_280
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f17645,f11119]) ).
thf(f17652,plain,
( ~ spl2_271
| ~ spl2_280
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f17651]) ).
thf(f17653,plain,
( $false
| ~ spl2_20
| ~ spl2_331
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f17646,f263]) ).
thf(f17654,plain,
( ~ spl2_20
| ~ spl2_331
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f17653]) ).
thf(f17660,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_83
| ~ spl2_294 ),
inference(constrained_superposition,[],[f11328,f2644]) ).
thf(f17665,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_83
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f17660]) ).
thf(f17671,plain,
( $false
| ~ spl2_83
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f17665,f2644]) ).
thf(f17672,plain,
( ~ spl2_83
| ~ spl2_294 ),
inference(avatar_contradiction_clause,[],[f17671]) ).
thf(f17718,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_278
| ~ spl2_405 ),
inference(constrained_superposition,[],[f17369,f11180]) ).
thf(f17724,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_278
| ~ spl2_405 ),
inference(trivial_inequality_removal,[],[f17718]) ).
thf(f17728,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_293
| ~ spl2_405 ),
inference(forward_subsumption_resolution,[],[f17724,f11317]) ).
thf(f17729,plain,
( ~ spl2_400
| ~ spl2_278
| ~ spl2_293
| ~ spl2_405 ),
inference(avatar_split_clause,[],[f17728,f17368,f11316,f11179,f17009]) ).
thf(f17730,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_400 ),
inference(constrained_superposition,[],[f17010,f177]) ).
thf(f17737,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_400 ),
inference(trivial_inequality_removal,[],[f17730]) ).
thf(f17738,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_296 ),
inference(constrained_superposition,[],[f803,f11488]) ).
thf(f17743,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f17738]) ).
thf(f17744,plain,
( spl2_291
| ~ spl2_31
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f17743,f11334,f802,f11304]) ).
thf(f17829,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104
| ~ spl2_295 ),
inference(constrained_superposition,[],[f3435,f11332]) ).
thf(f17832,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f17829]) ).
thf(f17837,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104
| spl2_290
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f17832,f11300]) ).
thf(f17841,plain,
( $false
| ~ spl2_104
| spl2_290
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f17837,f40]) ).
thf(f17842,plain,
( ~ spl2_104
| spl2_290
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f17841]) ).
thf(f17849,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_68
| ~ spl2_308 ),
inference(constrained_superposition,[],[f16974,f11679]) ).
thf(f17851,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_68
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f17849]) ).
thf(f17909,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_280
| ~ spl2_283 ),
inference(constrained_superposition,[],[f17581,f11187]) ).
thf(f17910,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_283
| ~ spl2_284 ),
inference(constrained_superposition,[],[f17581,f11201]) ).
thf(f17911,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_283
| ~ spl2_313 ),
inference(constrained_superposition,[],[f17581,f11597]) ).
thf(f17913,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_283
| ~ spl2_331 ),
inference(constrained_superposition,[],[f17581,f12699]) ).
thf(f17918,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_283
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f17911]) ).
thf(f17919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_283
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f17913]) ).
thf(f17920,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_283
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f17910]) ).
thf(f17921,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_280
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f17909]) ).
thf(f17923,plain,
( spl2_367
| ~ spl2_283
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f17918,f11596,f11196,f14237]) ).
thf(f17924,plain,
( spl2_317
| ~ spl2_283
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f17919,f12698,f11196,f11672]) ).
thf(f17925,plain,
( spl2_339
| ~ spl2_283
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f17920,f11200,f11196,f13488]) ).
thf(f17926,plain,
( spl2_294
| ~ spl2_280
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f17921,f11196,f11186,f11327]) ).
thf(f17957,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_282
| ~ spl2_357 ),
inference(constrained_superposition,[],[f13770,f11194]) ).
thf(f17966,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_282
| ~ spl2_301 ),
inference(constrained_superposition,[],[f11395,f11194]) ).
thf(f17979,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_282
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f17966]) ).
thf(f17985,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_282
| ~ spl2_357 ),
inference(trivial_inequality_removal,[],[f17957]) ).
thf(f17990,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f17979,f13500]) ).
thf(f17991,plain,
( $false
| ~ spl2_282
| ~ spl2_308
| ~ spl2_357 ),
inference(forward_subsumption_resolution,[],[f17985,f11679]) ).
thf(f17992,plain,
( ~ spl2_282
| ~ spl2_308
| ~ spl2_357 ),
inference(avatar_contradiction_clause,[],[f17991]) ).
thf(f17995,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(constrained_superposition,[],[f17990,f179]) ).
thf(f17998,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(constrained_superposition,[],[f17990,f29]) ).
thf(f18000,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f17998]) ).
thf(f18002,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f17995]) ).
thf(f18004,definition,
( spl2_407
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_407])],[avatar_definition]) ).
thf(f18005,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_407 ),
inference(avatar_component_clause,[],[f18004]) ).
thf(f18008,definition,
( spl2_408
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_408])],[avatar_definition]) ).
thf(f18009,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_408 ),
inference(avatar_component_clause,[],[f18008]) ).
thf(f18010,plain,
( spl2_408
| spl2_407
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f18000,f13499,f11394,f11193,f18004,f18008]) ).
thf(f18012,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f18002,f40]) ).
thf(f18013,plain,
( spl2_407
| ~ spl2_282
| ~ spl2_301
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f18012,f13499,f11394,f11193,f18004]) ).
thf(f18014,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_334
| ~ spl2_407 ),
inference(constrained_superposition,[],[f13050,f18005]) ).
thf(f18015,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_270
| ~ spl2_407 ),
inference(constrained_superposition,[],[f11108,f18005]) ).
thf(f18019,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_83
| ~ spl2_407 ),
inference(constrained_superposition,[],[f4016,f18005]) ).
thf(f18024,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_407 ),
inference(constrained_superposition,[],[f3805,f18005]) ).
thf(f18032,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f18024]) ).
thf(f18034,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_270
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f18015]) ).
thf(f18037,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_334
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f18014]) ).
thf(f18039,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_83
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f18019]) ).
thf(f18041,definition,
( spl2_409
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_409])],[avatar_definition]) ).
thf(f18042,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_409 ),
inference(avatar_component_clause,[],[f18041]) ).
thf(f18046,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_296
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f18032,f11488]) ).
thf(f18047,plain,
( spl2_409
| ~ spl2_270
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f18034,f18004,f11107,f18041]) ).
thf(f18048,plain,
( $false
| ~ spl2_334
| ~ spl2_355
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f18037,f13620]) ).
thf(f18049,plain,
( ~ spl2_334
| ~ spl2_355
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f18048]) ).
thf(f18051,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_83
| spl2_274
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f18039,f11130]) ).
thf(f18054,plain,
( $false
| ~ spl2_88
| ~ spl2_296
| spl2_343
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f18046,f13574]) ).
thf(f18055,plain,
( ~ spl2_88
| ~ spl2_296
| spl2_343
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f18054]) ).
thf(f18057,plain,
( $false
| ~ spl2_83
| spl2_274
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f18051,f2644]) ).
thf(f18058,plain,
( ~ spl2_83
| spl2_274
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f18057]) ).
thf(f18060,definition,
( spl2_410
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_410])],[avatar_definition]) ).
thf(f18061,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_410 ),
inference(avatar_component_clause,[],[f18060]) ).
thf(f18062,plain,
( ~ spl2_410
| ~ spl2_293
| ~ spl2_89
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f17214,f11425,f3336,f11316,f18060]) ).
thf(f18064,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_17
| ~ spl2_32
| ~ spl2_313 ),
inference(forward_subsumption_resolution,[],[f17570,f219]) ).
thf(f18066,plain,
( ~ spl2_290
| spl2_17
| ~ spl2_32
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f18064,f11596,f806,f218,f11299]) ).
thf(f18099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_111
| ~ spl2_274 ),
inference(constrained_superposition,[],[f4043,f11310]) ).
thf(f18118,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f18099]) ).
thf(f18121,plain,
( spl2_398
| ~ spl2_111
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f18118,f11129,f4042,f16911]) ).
thf(f18224,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_410 ),
inference(constrained_superposition,[],[f18061,f75]) ).
thf(f18229,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_410 ),
inference(trivial_inequality_removal,[],[f18224]) ).
thf(f18246,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_279 ),
inference(constrained_superposition,[],[f11108,f11183]) ).
thf(f18255,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_279 ),
inference(constrained_superposition,[],[f3805,f11183]) ).
thf(f18261,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f18255]) ).
thf(f18263,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f18246]) ).
thf(f18271,plain,
( spl2_294
| ~ spl2_270
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f18263,f11182,f11107,f11327]) ).
thf(f18273,plain,
( ~ spl2_296
| spl2_295
| ~ spl2_88
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f18261,f11182,f3332,f11331,f11334]) ).
thf(f18274,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_17
| ~ spl2_96
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f17249,f219]) ).
thf(f18275,plain,
( spl2_357
| ~ spl2_343
| spl2_17
| ~ spl2_96
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f18274,f13491,f3367,f218,f13503,f13769]) ).
thf(f18277,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_300
| ~ spl2_333 ),
inference(constrained_superposition,[],[f12859,f11359]) ).
thf(f18290,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_300
| ~ spl2_333 ),
inference(trivial_inequality_removal,[],[f18277]) ).
thf(f18296,plain,
( $false
| ~ spl2_20
| ~ spl2_300
| ~ spl2_333 ),
inference(forward_subsumption_resolution,[],[f18290,f263]) ).
thf(f18297,plain,
( ~ spl2_20
| ~ spl2_300
| ~ spl2_333 ),
inference(avatar_contradiction_clause,[],[f18296]) ).
thf(f18342,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_288 ),
inference(constrained_superposition,[],[f3803,f12637]) ).
thf(f18352,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f18342]) ).
thf(f18360,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_111
| ~ spl2_343 ),
inference(constrained_superposition,[],[f4043,f13504]) ).
thf(f18361,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_343 ),
inference(constrained_superposition,[],[f15033,f13504]) ).
thf(f18375,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f18361]) ).
thf(f18378,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_111
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f18360]) ).
thf(f18382,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_342
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f18375,f13500]) ).
thf(f18383,plain,
( spl2_375
| ~ spl2_111
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f18378,f13503,f4042,f14623]) ).
thf(f18385,plain,
( spl2_375
| ~ spl2_4
| ~ spl2_342
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f18382,f13503,f13499,f88,f14623]) ).
thf(f18391,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_281
| ~ spl2_406 ),
inference(constrained_superposition,[],[f17375,f11190]) ).
thf(f18406,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_281
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f18391]) ).
thf(f18419,plain,
( $false
| ~ spl2_274
| ~ spl2_281
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f18406,f11310]) ).
thf(f18420,plain,
( ~ spl2_274
| ~ spl2_281
| ~ spl2_406 ),
inference(avatar_contradiction_clause,[],[f18419]) ).
thf(f18612,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_285
| ~ spl2_365 ),
inference(constrained_superposition,[],[f14040,f11204]) ).
thf(f18621,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_285
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f18612]) ).
thf(f18623,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(forward_subsumption_resolution,[],[f18621,f13500]) ).
thf(f18624,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(constrained_superposition,[],[f18623,f179]) ).
thf(f18627,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(constrained_superposition,[],[f18623,f29]) ).
thf(f18629,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f18627]) ).
thf(f18630,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f18624]) ).
thf(f18633,definition,
( spl2_412
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_412])],[avatar_definition]) ).
thf(f18634,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_412 ),
inference(avatar_component_clause,[],[f18633]) ).
thf(f18636,plain,
( spl2_412
| spl2_408
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f18629,f14039,f13499,f11203,f18008,f18633]) ).
thf(f18637,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(forward_subsumption_resolution,[],[f18630,f40]) ).
thf(f18639,plain,
( spl2_412
| ~ spl2_285
| ~ spl2_342
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f18637,f14039,f13499,f11203,f18633]) ).
thf(f18649,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_412 ),
inference(constrained_superposition,[],[f30,f18634]) ).
thf(f18650,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f18649]) ).
thf(f18660,plain,
( spl2_270
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f18650,f18633,f11107]) ).
thf(f18661,plain,
( spl2_406
| ~ spl2_295
| ~ spl2_68
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f17851,f11425,f1379,f11331,f17374]) ).
thf(f18662,plain,
( $false
| ~ spl2_32
| ~ spl2_88
| ~ spl2_288
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f12699,f18352]) ).
thf(f18663,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_288
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f18662]) ).
thf(f18666,definition,
( spl2_413
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_413])],[avatar_definition]) ).
thf(f18667,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_413 ),
inference(avatar_component_clause,[],[f18666]) ).
thf(f18670,definition,
( spl2_414
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_414])],[avatar_definition]) ).
thf(f18671,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_414 ),
inference(avatar_component_clause,[],[f18670]) ).
thf(f18684,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_83
| ~ spl2_331 ),
inference(constrained_superposition,[],[f4016,f12699]) ).
thf(f18696,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f18684]) ).
thf(f18701,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_83
| ~ spl2_94
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f18696,f3358]) ).
thf(f18702,plain,
( spl2_295
| ~ spl2_83
| ~ spl2_94
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f18701,f12698,f3357,f2643,f11331]) ).
thf(f18703,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_413 ),
inference(constrained_superposition,[],[f18667,f76]) ).
thf(f18708,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_413 ),
inference(trivial_inequality_removal,[],[f18703]) ).
thf(f18734,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f1234,f11332]) ).
thf(f18744,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f18734]) ).
thf(f18756,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_398 ),
inference(constrained_superposition,[],[f16912,f11180]) ).
thf(f18778,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f18756]) ).
thf(f18785,plain,
( $false
| ~ spl2_278
| ~ spl2_295
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f18778,f11332]) ).
thf(f18786,plain,
( ~ spl2_278
| ~ spl2_295
| ~ spl2_398 ),
inference(avatar_contradiction_clause,[],[f18785]) ).
thf(f19104,definition,
( spl2_415
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_415])],[avatar_definition]) ).
thf(f19105,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_415 ),
inference(avatar_component_clause,[],[f19104]) ).
thf(f19184,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_60
| ~ spl2_369 ),
inference(constrained_superposition,[],[f1130,f14272]) ).
thf(f19195,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_60
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f19184]) ).
thf(f19200,plain,
( spl2_361
| ~ spl2_60
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f19195,f14271,f1129,f13857]) ).
thf(f19251,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_333
| ~ spl2_407 ),
inference(constrained_superposition,[],[f12859,f18005]) ).
thf(f19260,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_333
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f19251]) ).
thf(f19262,plain,
( $false
| ~ spl2_333
| ~ spl2_369
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f19260,f14272]) ).
thf(f19263,plain,
( ~ spl2_333
| ~ spl2_369
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f19262]) ).
thf(f19271,plain,
( spl2_313
| spl2_400 ),
inference(avatar_split_clause,[],[f17737,f17009,f11596]) ).
thf(f19272,plain,
( spl2_94
| spl2_397
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f18744,f11331,f16472,f3357]) ).
thf(f19321,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_43
| ~ spl2_290 ),
inference(constrained_superposition,[],[f925,f14034]) ).
thf(f19331,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f19321]) ).
thf(f19333,plain,
( spl2_308
| ~ spl2_43
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f19331,f11299,f924,f11425]) ).
thf(f19339,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_274 ),
inference(constrained_superposition,[],[f95,f11310]) ).
thf(f19343,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_6
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f19339]) ).
thf(f19347,plain,
( $false
| ~ spl2_6
| ~ spl2_274
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f19343,f11297]) ).
thf(f19348,plain,
( ~ spl2_6
| ~ spl2_274
| ~ spl2_277 ),
inference(avatar_contradiction_clause,[],[f19347]) ).
thf(f19361,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f24,f914]) ).
thf(f19366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f19361]) ).
thf(f19398,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_11 ),
inference(constrained_superposition,[],[f199,f29]) ).
thf(f19401,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f19398]) ).
thf(f19403,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_11
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f19401,f11045]) ).
thf(f19404,plain,
( spl2_19
| spl2_11
| spl2_18 ),
inference(avatar_split_clause,[],[f19403,f243,f198,f246]) ).
thf(f19549,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_281 ),
inference(constrained_superposition,[],[f782,f11190]) ).
thf(f19551,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_96
| ~ spl2_281 ),
inference(constrained_superposition,[],[f4554,f11190]) ).
thf(f19562,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_96
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f19551]) ).
thf(f19564,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f19549]) ).
thf(f19574,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_281
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f19564,f11398]) ).
thf(f19578,plain,
( $false
| ~ spl2_27
| ~ spl2_274
| ~ spl2_281
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f19574,f11310]) ).
thf(f19579,plain,
( ~ spl2_27
| ~ spl2_274
| ~ spl2_281
| spl2_293 ),
inference(avatar_contradiction_clause,[],[f19578]) ).
thf(f19687,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_285 ),
inference(constrained_superposition,[],[f4554,f11204]) ).
thf(f19689,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f1263,f11204]) ).
thf(f19705,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f19687]) ).
thf(f19708,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f19689]) ).
thf(f19756,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_285
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11417,f11204]) ).
thf(f19762,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_285
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f19756]) ).
thf(f19766,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_285
| ~ spl2_306 ),
inference(constrained_superposition,[],[f19762,f179]) ).
thf(f19770,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_285
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f19766]) ).
thf(f19774,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_285
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f19770,f40]) ).
thf(f19778,plain,
( spl2_407
| ~ spl2_285
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f19774,f11416,f11203,f18004]) ).
thf(f19788,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_407 ),
inference(constrained_superposition,[],[f30,f18005]) ).
thf(f19791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f19788]) ).
thf(f19814,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_281
| ~ spl2_382 ),
inference(constrained_superposition,[],[f14961,f11190]) ).
thf(f19823,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_281
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f19814]) ).
thf(f19832,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_283
| ~ spl2_409 ),
inference(constrained_superposition,[],[f18042,f11197]) ).
thf(f19833,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_353
| ~ spl2_409 ),
inference(constrained_superposition,[],[f18042,f13606]) ).
thf(f19835,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_346
| ~ spl2_409 ),
inference(constrained_superposition,[],[f18042,f13526]) ).
thf(f19839,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_346
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f19835]) ).
thf(f19841,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_353
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f19833]) ).
thf(f19843,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_283
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f19832]) ).
thf(f19846,plain,
( $false
| ~ spl2_300
| ~ spl2_346
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f19839,f11359]) ).
thf(f19847,plain,
( ~ spl2_300
| ~ spl2_346
| ~ spl2_409 ),
inference(avatar_contradiction_clause,[],[f19846]) ).
thf(f19849,plain,
( $false
| ~ spl2_298
| ~ spl2_353
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f19841,f11347]) ).
thf(f19850,plain,
( ~ spl2_298
| ~ spl2_353
| ~ spl2_409 ),
inference(avatar_contradiction_clause,[],[f19849]) ).
thf(f19851,plain,
( $false
| ~ spl2_279
| ~ spl2_283
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f19843,f11183]) ).
thf(f19852,plain,
( ~ spl2_279
| ~ spl2_283
| ~ spl2_409 ),
inference(avatar_contradiction_clause,[],[f19851]) ).
thf(f20083,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_283
| ~ spl2_407 ),
inference(constrained_superposition,[],[f19791,f11197]) ).
thf(f20084,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_353
| ~ spl2_407 ),
inference(constrained_superposition,[],[f19791,f13606]) ).
thf(f20086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_346
| ~ spl2_407 ),
inference(constrained_superposition,[],[f19791,f13526]) ).
thf(f20089,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f20086]) ).
thf(f20090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f20084]) ).
thf(f20092,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_283
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f20083]) ).
thf(f20095,plain,
( spl2_396
| ~ spl2_346
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f20089,f18004,f13525,f16101]) ).
thf(f20096,plain,
( spl2_361
| ~ spl2_353
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f20090,f18004,f13605,f13857]) ).
thf(f20097,plain,
( spl2_339
| ~ spl2_283
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f20092,f18004,f11196,f13488]) ).
thf(f20101,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_96
| ~ spl2_274
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f19562,f11310]) ).
thf(f20106,plain,
( ~ spl2_295
| ~ spl2_293
| ~ spl2_281
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f19823,f14960,f11189,f11316,f11331]) ).
thf(f20110,plain,
( ~ spl2_374
| spl2_290
| ~ spl2_342
| spl2_331
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f19708,f11203,f12698,f13499,f11299,f14537]) ).
thf(f20119,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_285
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f19705,f13504]) ).
thf(f20121,plain,
( spl2_306
| spl2_293
| ~ spl2_96
| ~ spl2_274
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f20101,f11189,f11129,f3367,f11316,f11416]) ).
thf(f20127,plain,
( spl2_293
| spl2_351
| ~ spl2_96
| ~ spl2_285
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f20119,f13503,f11203,f3367,f13578,f11316]) ).
thf(f20185,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f24,f11317]) ).
thf(f20190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f20185]) ).
thf(f20231,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_96
| ~ spl2_309 ),
inference(constrained_superposition,[],[f4554,f11431]) ).
thf(f20233,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f1263,f11431]) ).
thf(f20246,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f20233]) ).
thf(f20250,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f20231]) ).
thf(f20377,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_17
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f20246,f914]) ).
thf(f20378,plain,
( spl2_277
| spl2_328
| ~ spl2_11
| ~ spl2_96
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f20250,f11430,f3367,f198,f12685,f11152]) ).
thf(f20380,plain,
( spl2_272
| spl2_300
| ~ spl2_24
| ~ spl2_17
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f20377,f11430,f218,f340,f11358,f11121]) ).
thf(f20390,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_32
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3812,f263]) ).
thf(f20396,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_20
| ~ spl2_32
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f20390]) ).
thf(f20399,plain,
( spl2_11
| ~ spl2_20
| ~ spl2_32
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f20396,f3332,f806,f262,f198]) ).
thf(f20448,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_331
| ~ spl2_414 ),
inference(constrained_superposition,[],[f18671,f12699]) ).
thf(f20456,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_331
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f20448]) ).
thf(f20465,plain,
( $false
| ~ spl2_32
| ~ spl2_331
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f20456,f929]) ).
thf(f20466,plain,
( ~ spl2_32
| ~ spl2_331
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f20465]) ).
thf(f20474,definition,
( spl2_422
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_422])],[avatar_definition]) ).
thf(f20475,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_422 ),
inference(avatar_component_clause,[],[f20474]) ).
thf(f20481,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| spl2_23 ),
inference(constrained_superposition,[],[f337,f244]) ).
thf(f20482,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_28 ),
inference(constrained_superposition,[],[f785,f244]) ).
thf(f20483,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_18
| spl2_39 ),
inference(constrained_superposition,[],[f909,f244]) ).
thf(f20485,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| spl2_68 ),
inference(constrained_superposition,[],[f1380,f244]) ).
thf(f20488,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18
| ~ spl2_274 ),
inference(constrained_superposition,[],[f11310,f244]) ).
thf(f20490,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_18
| spl2_296 ),
inference(constrained_superposition,[],[f11335,f244]) ).
thf(f20498,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f76,f244]) ).
thf(f20560,plain,
( ~ spl2_19
| ~ spl2_18
| spl2_296 ),
inference(avatar_split_clause,[],[f20490,f11334,f243,f246]) ).
thf(f20563,plain,
( spl2_25
| ~ spl2_18
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f20482,f784,f243,f384]) ).
thf(f20567,plain,
( ~ spl2_7
| ~ spl2_18
| spl2_23 ),
inference(avatar_split_clause,[],[f20481,f336,f243,f112]) ).
thf(f20569,plain,
( spl2_7
| spl2_25
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f20498,f243,f384,f112]) ).
thf(f20570,plain,
( spl2_11
| ~ spl2_18
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f20488,f11129,f243,f198]) ).
thf(f20571,plain,
( ~ spl2_7
| ~ spl2_18
| spl2_68 ),
inference(avatar_split_clause,[],[f20485,f1379,f243,f112]) ).
thf(f20572,plain,
( $false
| ~ spl2_18
| spl2_39
| ~ spl2_94 ),
inference(forward_subsumption_resolution,[],[f20483,f3358]) ).
thf(f20573,plain,
( ~ spl2_18
| spl2_39
| ~ spl2_94 ),
inference(avatar_contradiction_clause,[],[f20572]) ).
thf(f20579,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_18 ),
inference(extensionality_resolution,[],[f179,f11045]) ).
thf(f20580,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_18 ),
inference(extensionality_resolution,[],[f179,f11045]) ).
thf(f20582,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_18 ),
inference(extensionality_resolution,[],[f55,f11045]) ).
thf(f20583,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_18 ),
inference(extensionality_resolution,[],[f77,f11045]) ).
thf(f20584,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_18 ),
inference(extensionality_resolution,[],[f77,f11045]) ).
thf(f20589,plain,
( spl2_282
| spl2_283
| spl2_18 ),
inference(avatar_split_clause,[],[f20579,f243,f11196,f11193]) ).
thf(f20590,plain,
( spl2_278
| spl2_279
| spl2_18 ),
inference(avatar_split_clause,[],[f20584,f243,f11182,f11179]) ).
thf(f20591,plain,
( spl2_285
| spl2_284
| spl2_18 ),
inference(avatar_split_clause,[],[f20580,f243,f11200,f11203]) ).
thf(f20592,plain,
( spl2_19
| spl2_389
| spl2_18 ),
inference(avatar_split_clause,[],[f20582,f243,f15000,f246]) ).
thf(f20593,plain,
( spl2_280
| spl2_281
| spl2_18 ),
inference(avatar_split_clause,[],[f20583,f243,f11189,f11186]) ).
thf(f20605,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_32 ),
inference(constrained_superposition,[],[f1579,f116]) ).
thf(f20614,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_8
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f20605]) ).
thf(f20615,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| spl2_4
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_subsumption_resolution,[],[f20614,f89]) ).
thf(f20616,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| spl2_4
| ~ spl2_8
| ~ spl2_32 ),
inference(constrained_superposition,[],[f20615,f49]) ).
thf(f20619,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| spl2_4
| ~ spl2_8
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f20616]) ).
thf(f20621,plain,
( spl2_124
| spl2_4
| ~ spl2_8
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f20619,f806,f115,f88,f6160]) ).
thf(f20636,plain,
( $false
| ~ spl2_8
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f897,f116]) ).
thf(f20637,plain,
( ~ spl2_8
| spl2_28 ),
inference(avatar_contradiction_clause,[],[f20636]) ).
thf(f20659,plain,
( $false
| spl2_11
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f199,f7831]) ).
thf(f20660,plain,
( spl2_11
| ~ spl2_164 ),
inference(avatar_contradiction_clause,[],[f20659]) ).
thf(f20823,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_415 ),
inference(constrained_superposition,[],[f19105,f51]) ).
thf(f20827,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_415 ),
inference(trivial_inequality_removal,[],[f20823]) ).
thf(f20846,plain,
( $false
| ~ spl2_110
| spl2_295 ),
inference(forward_subsumption_resolution,[],[f11418,f4036]) ).
thf(f20847,plain,
( ~ spl2_110
| spl2_295 ),
inference(avatar_contradiction_clause,[],[f20846]) ).
thf(f20884,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f57,f13526]) ).
thf(f20890,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f20884]) ).
thf(f21037,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_20
| ~ spl2_76 ),
inference(constrained_superposition,[],[f1438,f263]) ).
thf(f21040,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_20
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f21037]) ).
thf(f21043,plain,
( $false
| ~ spl2_20
| ~ spl2_76
| ~ spl2_94 ),
inference(forward_subsumption_resolution,[],[f21040,f3358]) ).
thf(f21044,plain,
( ~ spl2_20
| ~ spl2_76
| ~ spl2_94 ),
inference(avatar_contradiction_clause,[],[f21043]) ).
thf(f21288,definition,
( spl2_423
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_423])],[avatar_definition]) ).
thf(f21289,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_423 ),
inference(avatar_component_clause,[],[f21288]) ).
thf(f21291,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_415 ),
inference(forward_subsumption_resolution,[],[f20827,f40]) ).
thf(f21295,plain,
( spl2_90
| ~ spl2_413 ),
inference(avatar_split_clause,[],[f18708,f18666,f3341]) ).
thf(f21299,definition,
( spl2_424
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_424])],[avatar_definition]) ).
thf(f21300,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_424 ),
inference(avatar_component_clause,[],[f21299]) ).
thf(f21303,plain,
( spl2_423
| spl2_410 ),
inference(avatar_split_clause,[],[f18229,f18060,f21288]) ).
thf(f21306,definition,
( spl2_425
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_425])],[avatar_definition]) ).
thf(f21307,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_425 ),
inference(avatar_component_clause,[],[f21306]) ).
thf(f21315,plain,
( spl2_342
| spl2_396
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f20890,f13525,f16101,f13499]) ).
thf(f21318,plain,
( spl2_424
| spl2_404 ),
inference(avatar_split_clause,[],[f17296,f17273,f21299]) ).
thf(f21320,plain,
( spl2_425
| spl2_415 ),
inference(avatar_split_clause,[],[f21291,f19104,f21306]) ).
thf(f21359,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_272 ),
inference(constrained_superposition,[],[f1527,f11122]) ).
thf(f21365,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f21359]) ).
thf(f21371,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f24,f11297]) ).
thf(f21376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f21371]) ).
thf(f21394,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_331 ),
inference(constrained_superposition,[],[f160,f12699]) ).
thf(f21397,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f21394]) ).
thf(f21408,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f30,f21307]) ).
thf(f21410,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f21408]) ).
thf(f21415,plain,
( spl2_88
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f21410,f21306,f3332]) ).
thf(f21426,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f160,f11119]) ).
thf(f21432,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f21426]) ).
thf(f21434,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_11
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f21432,f199]) ).
thf(f21481,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_423 ),
inference(constrained_superposition,[],[f30,f21289]) ).
thf(f21484,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f21481]) ).
thf(f21488,plain,
( spl2_88
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f21484,f21288,f3332]) ).
thf(f21499,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f160,f14282]) ).
thf(f21505,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f21499]) ).
thf(f21507,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_11
| ~ spl2_370 ),
inference(forward_subsumption_resolution,[],[f21505,f199]) ).
thf(f21510,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_424 ),
inference(constrained_superposition,[],[f57,f21300]) ).
thf(f21512,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_424 ),
inference(constrained_superposition,[],[f30,f21300]) ).
thf(f21516,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f21510]) ).
thf(f21517,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f21512]) ).
thf(f21519,definition,
( spl2_426
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_426])],[avatar_definition]) ).
thf(f21520,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_426 ),
inference(avatar_component_clause,[],[f21519]) ).
thf(f21522,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_342
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f21516,f13575]) ).
thf(f21523,plain,
( spl2_88
| ~ spl2_424 ),
inference(avatar_split_clause,[],[f21517,f21299,f3332]) ).
thf(f21524,plain,
( spl2_426
| spl2_342
| ~ spl2_424 ),
inference(avatar_split_clause,[],[f21522,f21299,f13499,f21519]) ).
thf(f21540,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_272 ),
inference(constrained_superposition,[],[f21365,f76]) ).
thf(f21546,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f21540]) ).
thf(f21625,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_11
| ~ spl2_271 ),
inference(constrained_superposition,[],[f21434,f76]) ).
thf(f21632,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_11
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f21625]) ).
thf(f21704,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11423,f75]) ).
thf(f21709,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_285
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11423,f11204]) ).
thf(f21716,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f21704]) ).
thf(f21718,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_285
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f21709]) ).
thf(f21719,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_68
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f21716,f6046]) ).
thf(f21720,plain,
( ~ spl2_340
| ~ spl2_285
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f21718,f11422,f11203,f13491]) ).
thf(f21721,plain,
( spl2_423
| ~ spl2_68
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f21719,f11422,f1379,f21288]) ).
thf(f21757,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_11
| ~ spl2_370 ),
inference(constrained_superposition,[],[f21507,f76]) ).
thf(f21760,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_11
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f21757]) ).
thf(f21837,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_365 ),
inference(constrained_superposition,[],[f14040,f75]) ).
thf(f21839,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_365 ),
inference(constrained_superposition,[],[f14040,f177]) ).
thf(f21847,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f21839]) ).
thf(f21850,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_365 ),
inference(trivial_inequality_removal,[],[f21837]) ).
thf(f21897,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_348 ),
inference(constrained_superposition,[],[f13564,f75]) ).
thf(f21909,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f21897]) ).
thf(f21932,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_290 ),
inference(constrained_superposition,[],[f1527,f14034]) ).
thf(f21938,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f21932]) ).
thf(f21944,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_290 ),
inference(constrained_superposition,[],[f21938,f76]) ).
thf(f21954,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f21944]) ).
thf(f21956,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f21376,f50]) ).
thf(f21963,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_277
| ~ spl2_278 ),
inference(constrained_superposition,[],[f21376,f11180]) ).
thf(f21969,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_277
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f21963]) ).
thf(f21970,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f21956]) ).
thf(f21976,definition,
( spl2_427
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_427])],[avatar_definition]) ).
thf(f21977,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_427 ),
inference(avatar_component_clause,[],[f21976]) ).
thf(f21979,plain,
( spl2_301
| ~ spl2_277
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f21969,f11179,f11152,f11394]) ).
thf(f21993,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_309
| ~ spl2_427 ),
inference(constrained_superposition,[],[f21977,f11431]) ).
thf(f21996,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_427 ),
inference(constrained_superposition,[],[f21977,f11180]) ).
thf(f21998,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_309
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f21993]) ).
thf(f22003,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f21996]) ).
thf(f22006,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_68
| ~ spl2_309
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f21998,f6046]) ).
thf(f22008,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_293
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f22003,f11317]) ).
thf(f22009,plain,
( $false
| ~ spl2_17
| ~ spl2_68
| ~ spl2_309
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f22006,f914]) ).
thf(f22010,plain,
( ~ spl2_17
| ~ spl2_68
| ~ spl2_309
| ~ spl2_427 ),
inference(avatar_contradiction_clause,[],[f22009]) ).
thf(f22012,plain,
( ~ spl2_410
| ~ spl2_278
| ~ spl2_293
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f22008,f21976,f11316,f11179,f18060]) ).
thf(f22016,plain,
( ~ spl2_28
| spl2_274
| spl2_11
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f21632,f11118,f198,f11129,f784]) ).
thf(f22017,plain,
( ~ spl2_295
| spl2_424
| ~ spl2_4
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f21909,f13563,f88,f21299,f11331]) ).
thf(f22018,plain,
( spl2_274
| ~ spl2_94
| ~ spl2_32
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f21546,f11121,f806,f3357,f11129]) ).
thf(f22020,plain,
( ~ spl2_94
| spl2_295
| ~ spl2_32
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f21954,f11299,f806,f11331,f3357]) ).
thf(f22021,plain,
( ~ spl2_274
| spl2_423
| ~ spl2_4
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f21850,f14039,f88,f21288,f11129]) ).
thf(f22022,plain,
( spl2_295
| ~ spl2_28
| spl2_11
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f21760,f14281,f198,f784,f11331]) ).
thf(f22026,definition,
( spl2_428
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_428])],[avatar_definition]) ).
thf(f22027,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_428 ),
inference(avatar_component_clause,[],[f22026]) ).
thf(f22032,definition,
( spl2_429
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_429])],[avatar_definition]) ).
thf(f22033,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_429 ),
inference(avatar_component_clause,[],[f22032]) ).
thf(f22040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_94 ),
inference(constrained_superposition,[],[f1527,f3358]) ).
thf(f22043,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f22040]) ).
thf(f22075,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f30,f785]) ).
thf(f22080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f22075]) ).
thf(f22081,plain,
( spl2_88
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f22080,f784,f3332]) ).
thf(f22089,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_312
| ~ spl2_313 ),
inference(constrained_superposition,[],[f11597,f11566]) ).
thf(f22090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_312
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11673,f11566]) ).
thf(f22092,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_312
| ~ spl2_331 ),
inference(constrained_superposition,[],[f12699,f11566]) ).
thf(f22096,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_312
| spl2_342 ),
inference(constrained_superposition,[],[f13575,f11566]) ).
thf(f22098,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_290
| ~ spl2_312 ),
inference(constrained_superposition,[],[f14034,f11566]) ).
thf(f22102,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_312
| spl2_355 ),
inference(constrained_superposition,[],[f16586,f11566]) ).
thf(f22107,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f178,f11566]) ).
thf(f22158,plain,
( $false
| ~ spl2_277
| ~ spl2_312
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f22096,f11297]) ).
thf(f22159,plain,
( ~ spl2_277
| ~ spl2_312
| spl2_342 ),
inference(avatar_contradiction_clause,[],[f22158]) ).
thf(f22160,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f1635]) ).
thf(f22162,plain,
( $false
| spl2_20
| ~ spl2_312
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f22092,f15978]) ).
thf(f22163,plain,
( spl2_20
| ~ spl2_312
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f22162]) ).
thf(f22164,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_23
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f22107,f337]) ).
thf(f22165,plain,
( spl2_80
| ~ spl2_312
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f22089,f11596,f11565,f1635]) ).
thf(f22167,plain,
( $false
| spl2_39
| ~ spl2_290
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f22098,f909]) ).
thf(f22168,plain,
( spl2_39
| ~ spl2_290
| ~ spl2_312 ),
inference(avatar_contradiction_clause,[],[f22167]) ).
thf(f22171,plain,
( ~ spl2_296
| ~ spl2_312
| spl2_355 ),
inference(avatar_split_clause,[],[f22102,f13619,f11565,f11334]) ).
thf(f22173,plain,
( spl2_73
| ~ spl2_312
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f22090,f11672,f11565,f1400]) ).
thf(f22174,plain,
( spl2_80
| spl2_23
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f22164,f11565,f336,f1635]) ).
thf(f22200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_60
| ~ spl2_80 ),
inference(constrained_superposition,[],[f1130,f22160]) ).
thf(f22205,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_60
| ~ spl2_80 ),
inference(duplicate_literal_removal,[],[f22200]) ).
thf(f22206,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_60
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f22205]) ).
thf(f22215,plain,
( ( $true != $true )
| ~ spl2_60
| ~ spl2_80 ),
inference(constrained_superposition,[],[f22206,f22160]) ).
thf(f22226,plain,
( $false
| ~ spl2_60
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f22215]) ).
thf(f22227,plain,
( ~ spl2_60
| ~ spl2_80 ),
inference(avatar_contradiction_clause,[],[f22226]) ).
thf(f22230,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_425 ),
inference(constrained_superposition,[],[f11108,f21307]) ).
thf(f22231,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_333
| ~ spl2_425 ),
inference(constrained_superposition,[],[f12859,f21307]) ).
thf(f22232,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_320
| ~ spl2_425 ),
inference(constrained_superposition,[],[f12184,f21307]) ).
thf(f22233,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_319
| ~ spl2_425 ),
inference(constrained_superposition,[],[f12179,f21307]) ).
thf(f22237,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_425 ),
inference(constrained_superposition,[],[f1579,f21307]) ).
thf(f22240,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f22237]) ).
thf(f22241,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_320
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f22232]) ).
thf(f22244,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_319
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f22233]) ).
thf(f22245,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f22230]) ).
thf(f22246,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_333
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f22231]) ).
thf(f22248,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_272
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f22240,f11122]) ).
thf(f22249,plain,
( $false
| ~ spl2_94
| ~ spl2_320
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f22241,f3358]) ).
thf(f22250,plain,
( ~ spl2_94
| ~ spl2_320
| ~ spl2_425 ),
inference(avatar_contradiction_clause,[],[f22249]) ).
thf(f22251,plain,
( $false
| ~ spl2_32
| ~ spl2_319
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f22244,f929]) ).
thf(f22252,plain,
( ~ spl2_32
| ~ spl2_319
| ~ spl2_425 ),
inference(avatar_contradiction_clause,[],[f22251]) ).
thf(f22253,plain,
( spl2_334
| ~ spl2_270
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f22245,f21306,f11107,f13049]) ).
thf(f22254,plain,
( $false
| ~ spl2_28
| ~ spl2_333
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f22246,f785]) ).
thf(f22255,plain,
( ~ spl2_28
| ~ spl2_333
| ~ spl2_425 ),
inference(avatar_contradiction_clause,[],[f22254]) ).
thf(f22257,plain,
( $false
| spl2_4
| ~ spl2_32
| ~ spl2_272
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f22248,f89]) ).
thf(f22258,plain,
( spl2_4
| ~ spl2_32
| ~ spl2_272
| ~ spl2_425 ),
inference(avatar_contradiction_clause,[],[f22257]) ).
thf(f22380,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_318
| ~ spl2_423 ),
inference(constrained_superposition,[],[f11677,f21289]) ).
thf(f22381,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_317
| ~ spl2_423 ),
inference(constrained_superposition,[],[f11673,f21289]) ).
thf(f22386,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_423 ),
inference(constrained_superposition,[],[f1579,f21289]) ).
thf(f22391,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_317
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f22381]) ).
thf(f22393,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_32
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f22386]) ).
thf(f22395,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_318
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f22380]) ).
thf(f22398,plain,
( $false
| ~ spl2_94
| ~ spl2_317
| ~ spl2_423 ),
inference(forward_subsumption_resolution,[],[f22391,f3358]) ).
thf(f22399,plain,
( ~ spl2_94
| ~ spl2_317
| ~ spl2_423 ),
inference(avatar_contradiction_clause,[],[f22398]) ).
thf(f22402,plain,
( $false
| ~ spl2_32
| ~ spl2_318
| ~ spl2_423 ),
inference(forward_subsumption_resolution,[],[f22395,f929]) ).
thf(f22403,plain,
( ~ spl2_32
| ~ spl2_318
| ~ spl2_423 ),
inference(avatar_contradiction_clause,[],[f22402]) ).
thf(f22406,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_4
| ~ spl2_32
| ~ spl2_423 ),
inference(forward_subsumption_resolution,[],[f22393,f89]) ).
thf(f22408,plain,
( ~ spl2_290
| spl2_4
| ~ spl2_32
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f22406,f21288,f806,f88,f11299]) ).
thf(f22414,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_32
| ~ spl2_81
| ~ spl2_94 ),
inference(constrained_superposition,[],[f22043,f1962]) ).
thf(f22428,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_32
| ~ spl2_81
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f22414]) ).
thf(f22440,plain,
( spl2_55
| ~ spl2_32
| ~ spl2_81
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f22428,f3357,f1961,f806,f981]) ).
thf(f22458,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_17
| ~ spl2_308 ),
inference(constrained_superposition,[],[f19366,f11679]) ).
thf(f22459,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_308
| ~ spl2_422 ),
inference(constrained_superposition,[],[f20475,f11679]) ).
thf(f22475,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f22458]) ).
thf(f22477,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_308
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f22459]) ).
thf(f22542,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_285
| ~ spl2_406 ),
inference(constrained_superposition,[],[f17375,f11204]) ).
thf(f22547,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_285
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f22542]) ).
thf(f22554,plain,
( spl2_295
| spl2_318
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f21397,f12698,f11676,f11331]) ).
thf(f22557,definition,
( spl2_431
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_431])],[avatar_definition]) ).
thf(f22558,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_431 ),
inference(avatar_component_clause,[],[f22557]) ).
thf(f22560,plain,
( $false
| ~ spl2_285
| ~ spl2_343
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f22547,f13504]) ).
thf(f22561,plain,
( ~ spl2_285
| ~ spl2_343
| ~ spl2_406 ),
inference(avatar_contradiction_clause,[],[f22560]) ).
thf(f22575,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f24,f11310]) ).
thf(f22579,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f22575]) ).
thf(f22602,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f76]) ).
thf(f22603,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f929]) ).
thf(f22606,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f22603]) ).
thf(f22608,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f22602]) ).
thf(f22613,definition,
( spl2_432
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_432])],[avatar_definition]) ).
thf(f22614,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_432 ),
inference(avatar_component_clause,[],[f22613]) ).
thf(f22616,plain,
( spl2_432
| ~ spl2_32
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f22606,f3332,f806,f22613]) ).
thf(f22617,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_432 ),
inference(constrained_superposition,[],[f22614,f76]) ).
thf(f22624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f22617]) ).
thf(f22637,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_282 ),
inference(constrained_superposition,[],[f782,f11194]) ).
thf(f22639,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_96
| ~ spl2_282 ),
inference(constrained_superposition,[],[f4554,f11194]) ).
thf(f22653,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_96
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f22639]) ).
thf(f22656,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f22637]) ).
thf(f22662,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_96
| ~ spl2_282
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f22653,f11332]) ).
thf(f22663,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_282
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f22656,f13575]) ).
thf(f22665,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_282
| ~ spl2_295
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f22662,f13575]) ).
thf(f22666,plain,
( $false
| ~ spl2_27
| ~ spl2_282
| ~ spl2_295
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f22663,f11332]) ).
thf(f22667,plain,
( ~ spl2_27
| ~ spl2_282
| ~ spl2_295
| spl2_342 ),
inference(avatar_contradiction_clause,[],[f22666]) ).
thf(f22669,plain,
( spl2_351
| ~ spl2_96
| ~ spl2_282
| ~ spl2_295
| spl2_342 ),
inference(avatar_split_clause,[],[f22665,f13499,f11331,f11193,f3367,f13578]) ).
thf(f22689,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f30,f11201]) ).
thf(f22695,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f22689]) ).
thf(f22713,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_427 ),
inference(constrained_superposition,[],[f21977,f177]) ).
thf(f22718,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f22713]) ).
thf(f22744,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_339
| ~ spl2_353 ),
inference(constrained_superposition,[],[f13489,f13606]) ).
thf(f22745,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_339
| ~ spl2_346 ),
inference(constrained_superposition,[],[f13489,f13526]) ).
thf(f22748,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_339
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f22744]) ).
thf(f22751,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_339
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f22745]) ).
thf(f22752,plain,
( $false
| ~ spl2_313
| ~ spl2_339
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f22748,f11597]) ).
thf(f22753,plain,
( ~ spl2_313
| ~ spl2_339
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f22752]) ).
thf(f22755,plain,
( $false
| ~ spl2_331
| ~ spl2_339
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f22751,f12699]) ).
thf(f22756,plain,
( ~ spl2_331
| ~ spl2_339
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f22755]) ).
thf(f22779,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_91
| ~ spl2_284 ),
inference(constrained_superposition,[],[f3346,f11201]) ).
thf(f22792,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f22779]) ).
thf(f22812,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_284 ),
inference(constrained_superposition,[],[f22608,f11201]) ).
thf(f22818,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f22608,f49]) ).
thf(f22823,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f22812]) ).
thf(f22830,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f22818]) ).
thf(f22835,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_282
| ~ spl2_308 ),
inference(constrained_superposition,[],[f22475,f11194]) ).
thf(f22848,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_282
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f22835]) ).
thf(f22857,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_301
| ~ spl2_308 ),
inference(constrained_superposition,[],[f11395,f11679]) ).
thf(f22865,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f22857]) ).
thf(f22880,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_308
| ~ spl2_389 ),
inference(constrained_superposition,[],[f15001,f11679]) ).
thf(f22885,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_308
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f22880]) ).
thf(f22887,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_295
| ~ spl2_308
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f22885,f11332]) ).
thf(f22888,plain,
( spl2_307
| ~ spl2_295
| ~ spl2_308
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f22887,f15000,f11425,f11331,f11422]) ).
thf(f22903,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_280 ),
inference(constrained_superposition,[],[f949,f11187]) ).
thf(f22904,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_284 ),
inference(constrained_superposition,[],[f949,f11201]) ).
thf(f22908,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_423 ),
inference(constrained_superposition,[],[f949,f21289]) ).
thf(f22909,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_300 ),
inference(constrained_superposition,[],[f949,f11359]) ).
thf(f22914,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f22904]) ).
thf(f22915,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f22903]) ).
thf(f22918,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f22909]) ).
thf(f22924,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f22908]) ).
thf(f22934,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f22579,f50]) ).
thf(f22936,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f22579,f75]) ).
thf(f22938,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f22579,f177]) ).
thf(f22940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_274
| ~ spl2_278 ),
inference(constrained_superposition,[],[f22579,f11180]) ).
thf(f22943,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f22938]) ).
thf(f22944,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f22936]) ).
thf(f22945,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_274
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f22940]) ).
thf(f22948,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f22934]) ).
thf(f22950,definition,
( spl2_433
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_433])],[avatar_definition]) ).
thf(f22951,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_433 ),
inference(avatar_component_clause,[],[f22950]) ).
thf(f22952,plain,
( spl2_433
| spl2_425
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f22944,f11129,f21306,f22950]) ).
thf(f22958,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_433 ),
inference(constrained_superposition,[],[f22951,f177]) ).
thf(f22965,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_433 ),
inference(trivial_inequality_removal,[],[f22958]) ).
thf(f22970,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_274
| ~ spl2_278 ),
inference(constrained_superposition,[],[f22945,f11180]) ).
thf(f22971,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282 ),
inference(constrained_superposition,[],[f22945,f11194]) ).
thf(f22973,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_308 ),
inference(constrained_superposition,[],[f22945,f11679]) ).
thf(f22978,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_293 ),
inference(constrained_superposition,[],[f22945,f11317]) ).
thf(f22980,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f22973]) ).
thf(f22984,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f22971]) ).
thf(f22988,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f22978]) ).
thf(f22989,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_274
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f22970]) ).
thf(f22990,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f22984,f13504]) ).
thf(f22991,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(constrained_superposition,[],[f22990,f179]) ).
thf(f22993,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(constrained_superposition,[],[f22990,f51]) ).
thf(f22996,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f22993]) ).
thf(f22998,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f22991]) ).
thf(f23000,plain,
( spl2_312
| spl2_407
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f22996,f13503,f11193,f11179,f11129,f18004,f11565]) ).
thf(f23002,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f22998,f40]) ).
thf(f23003,plain,
( spl2_407
| ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f23002,f13503,f11193,f11179,f11129,f18004]) ).
thf(f23006,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_340
| ~ spl2_389 ),
inference(constrained_superposition,[],[f15001,f13492]) ).
thf(f23008,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_340
| ~ spl2_422 ),
inference(constrained_superposition,[],[f20475,f13492]) ).
thf(f23011,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f1263,f13492]) ).
thf(f23021,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f23011]) ).
thf(f23024,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_340
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f23008]) ).
thf(f23027,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_340
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f23006]) ).
thf(f23035,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_340
| ~ spl2_343
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f23027,f13504]) ).
thf(f23037,plain,
( spl2_357
| ~ spl2_340
| ~ spl2_343
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f23035,f15000,f13503,f13491,f13769]) ).
thf(f23041,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_59
| ~ spl2_432 ),
inference(forward_subsumption_resolution,[],[f1126,f22624]) ).
thf(f23042,plain,
( spl2_110
| ~ spl2_59
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f23041,f22613,f1125,f4035]) ).
thf(f23115,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_320
| ~ spl2_407 ),
inference(constrained_superposition,[],[f12184,f18005]) ).
thf(f23117,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_407 ),
inference(constrained_superposition,[],[f752,f18005]) ).
thf(f23118,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_407 ),
inference(constrained_superposition,[],[f949,f18005]) ).
thf(f23124,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_407 ),
inference(constrained_superposition,[],[f1579,f18005]) ).
thf(f23128,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f23124]) ).
thf(f23130,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f23117]) ).
thf(f23134,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_320
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f23115]) ).
thf(f23136,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f23118]) ).
thf(f23143,plain,
( $false
| ~ spl2_320
| ~ spl2_347
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f23134,f13561]) ).
thf(f23144,plain,
( ~ spl2_320
| ~ spl2_347
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f23143]) ).
thf(f23148,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_272
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f23128,f11122]) ).
thf(f23149,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_301
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f22865,f914]) ).
thf(f23150,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_39
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f23021,f909]) ).
thf(f23153,definition,
( spl2_435
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_435])],[avatar_definition]) ).
thf(f23154,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_435 ),
inference(avatar_component_clause,[],[f23153]) ).
thf(f23155,plain,
( spl2_298
| spl2_435
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f22943,f11129,f23153,f11346]) ).
thf(f23156,plain,
( ~ spl2_342
| ~ spl2_374
| ~ spl2_340
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f23024,f20474,f13491,f14537,f13499]) ).
thf(f23158,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_282
| ~ spl2_308
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f22848,f13492]) ).
thf(f23159,plain,
( spl2_342
| ~ spl2_32
| ~ spl2_272
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f23148,f18004,f11121,f806,f13499]) ).
thf(f23160,plain,
( ~ spl2_309
| ~ spl2_17
| ~ spl2_301
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f23149,f11425,f11394,f218,f11430]) ).
thf(f23161,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_20
| spl2_39
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f23150,f15978]) ).
thf(f23163,plain,
( ~ spl2_342
| ~ spl2_17
| ~ spl2_282
| ~ spl2_308
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f23158,f13491,f11425,f11193,f218,f13499]) ).
thf(f23164,plain,
( ~ spl2_342
| ~ spl2_374
| spl2_20
| spl2_39
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f23161,f13491,f908,f262,f14537,f13499]) ).
thf(f23166,plain,
( spl2_291
| ~ spl2_369
| ~ spl2_47
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f23136,f18004,f948,f14271,f11304]) ).
thf(f23167,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_17
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f22718,f914]) ).
thf(f23169,plain,
( ~ spl2_11
| ~ spl2_68
| spl2_298
| ~ spl2_433 ),
inference(avatar_split_clause,[],[f22965,f22950,f11346,f1379,f198]) ).
thf(f23170,plain,
( spl2_291
| ~ spl2_20
| ~ spl2_47
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f22918,f11358,f948,f262,f11304]) ).
thf(f23172,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_293
| ~ spl2_308
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f22477,f11317]) ).
thf(f23175,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_17
| ~ spl2_365 ),
inference(forward_subsumption_resolution,[],[f21847,f914]) ).
thf(f23179,plain,
( ~ spl2_309
| ~ spl2_11
| ~ spl2_274
| ~ spl2_278
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f22980,f11425,f11179,f11129,f198,f11430]) ).
thf(f23181,plain,
( spl2_291
| spl2_409
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f23130,f18004,f18041,f11304]) ).
thf(f23183,plain,
( spl2_298
| ~ spl2_68
| ~ spl2_17
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f23167,f21976,f218,f1379,f11346]) ).
thf(f23185,plain,
( ~ spl2_302
| ~ spl2_293
| ~ spl2_308
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f23172,f20474,f11425,f11316,f11400]) ).
thf(f23186,plain,
( spl2_313
| ~ spl2_291
| ~ spl2_17
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f23175,f14039,f218,f11304,f11596]) ).
thf(f23194,plain,
( ~ spl2_28
| spl2_308
| ~ spl2_47
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f22924,f21288,f948,f11425,f784]) ).
thf(f23196,plain,
( ~ spl2_369
| spl2_308
| ~ spl2_47
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f22914,f11200,f948,f11425,f14271]) ).
thf(f23199,plain,
( spl2_308
| ~ spl2_271
| ~ spl2_47
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f22915,f11186,f948,f11118,f11425]) ).
thf(f23202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f160,f263]) ).
thf(f23203,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_91 ),
inference(constrained_superposition,[],[f3346,f263]) ).
thf(f23206,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f23202]) ).
thf(f23208,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f23203]) ).
thf(f23212,plain,
( spl2_11
| spl2_66
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f23206,f262,f1371,f198]) ).
thf(f23213,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_20
| ~ spl2_32
| ~ spl2_91 ),
inference(forward_subsumption_resolution,[],[f23208,f929]) ).
thf(f23215,plain,
( spl2_11
| ~ spl2_20
| ~ spl2_32
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f23213,f3345,f806,f262,f198]) ).
thf(f23298,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_298 ),
inference(constrained_superposition,[],[f11108,f11347]) ).
thf(f23300,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_298
| ~ spl2_319 ),
inference(constrained_superposition,[],[f12179,f11347]) ).
thf(f23310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f23298]) ).
thf(f23311,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_298
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f23300]) ).
thf(f23320,plain,
( spl2_333
| ~ spl2_270
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f23310,f11346,f11107,f12858]) ).
thf(f23321,plain,
( $false
| ~ spl2_20
| ~ spl2_298
| ~ spl2_319 ),
inference(forward_subsumption_resolution,[],[f23311,f263]) ).
thf(f23322,plain,
( ~ spl2_20
| ~ spl2_298
| ~ spl2_319 ),
inference(avatar_contradiction_clause,[],[f23321]) ).
thf(f23325,definition,
( spl2_437
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_437])],[avatar_definition]) ).
thf(f23326,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_437 ),
inference(avatar_component_clause,[],[f23325]) ).
thf(f23327,plain,
( spl2_300
| spl2_437
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f22948,f11129,f23325,f11358]) ).
thf(f23329,plain,
( ~ spl2_355
| spl2_295
| ~ spl2_91
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f22792,f11200,f3345,f11331,f13619]) ).
thf(f23332,definition,
( spl2_438
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_438])],[avatar_definition]) ).
thf(f23333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_438 ),
inference(avatar_component_clause,[],[f23332]) ).
thf(f23334,plain,
( spl2_438
| spl2_300
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f21970,f11152,f11358,f23332]) ).
thf(f23394,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f24,f4036]) ).
thf(f23401,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f23394]) ).
thf(f23410,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_331
| ~ spl2_432 ),
inference(constrained_superposition,[],[f22624,f12699]) ).
thf(f23423,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_331
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f23410]) ).
thf(f23453,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_347 ),
inference(constrained_superposition,[],[f1527,f13561]) ).
thf(f23454,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_347 ),
inference(constrained_superposition,[],[f22608,f13561]) ).
thf(f23458,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f23453]) ).
thf(f23462,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f23454]) ).
thf(f23482,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_313 ),
inference(constrained_superposition,[],[f160,f11597]) ).
thf(f23483,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_91
| ~ spl2_313 ),
inference(constrained_superposition,[],[f3346,f11597]) ).
thf(f23485,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_313 ),
inference(constrained_superposition,[],[f22608,f11597]) ).
thf(f23489,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f23485]) ).
thf(f23490,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f23482]) ).
thf(f23494,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f23483]) ).
thf(f23504,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_17
| ~ spl2_308 ),
inference(constrained_superposition,[],[f19366,f11679]) ).
thf(f23528,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f23504]) ).
thf(f23542,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f1438,f178]) ).
thf(f23546,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f23542]) ).
thf(f23567,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f85,f13492]) ).
thf(f23575,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f24,f13492]) ).
thf(f23576,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f23575]) ).
thf(f23579,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f23567]) ).
thf(f23599,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_341
| ~ spl2_343 ),
inference(constrained_superposition,[],[f13504,f13496]) ).
thf(f23606,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_341 ),
inference(constrained_superposition,[],[f177,f13496]) ).
thf(f23683,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_80
| ~ spl2_341 ),
inference(forward_subsumption_resolution,[],[f23606,f1636]) ).
thf(f23684,plain,
( $false
| spl2_11
| ~ spl2_341
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f23599,f199]) ).
thf(f23685,plain,
( spl2_11
| ~ spl2_341
| ~ spl2_343 ),
inference(avatar_contradiction_clause,[],[f23684]) ).
thf(f23692,plain,
( $false
| spl2_23
| spl2_80
| ~ spl2_341 ),
inference(forward_subsumption_resolution,[],[f23683,f337]) ).
thf(f23693,plain,
( spl2_23
| spl2_80
| ~ spl2_341 ),
inference(avatar_contradiction_clause,[],[f23692]) ).
thf(f23771,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f17375,f50]) ).
thf(f23783,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f23771]) ).
thf(f23787,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_313
| ~ spl2_431 ),
inference(constrained_superposition,[],[f22558,f11597]) ).
thf(f23789,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_331
| ~ spl2_431 ),
inference(constrained_superposition,[],[f22558,f12699]) ).
thf(f23792,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_313
| ~ spl2_431 ),
inference(trivial_inequality_removal,[],[f23787]) ).
thf(f23797,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_331
| ~ spl2_431 ),
inference(trivial_inequality_removal,[],[f23789]) ).
thf(f23799,plain,
( $false
| ~ spl2_28
| ~ spl2_313
| ~ spl2_431 ),
inference(forward_subsumption_resolution,[],[f23792,f785]) ).
thf(f23800,plain,
( ~ spl2_28
| ~ spl2_313
| ~ spl2_431 ),
inference(avatar_contradiction_clause,[],[f23799]) ).
thf(f23802,plain,
( $false
| ~ spl2_94
| ~ spl2_331
| ~ spl2_431 ),
inference(forward_subsumption_resolution,[],[f23797,f3358]) ).
thf(f23803,plain,
( ~ spl2_94
| ~ spl2_331
| ~ spl2_431 ),
inference(avatar_contradiction_clause,[],[f23802]) ).
thf(f23892,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_284
| ~ spl2_294 ),
inference(constrained_superposition,[],[f11328,f11201]) ).
thf(f23893,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_294
| ~ spl2_313 ),
inference(constrained_superposition,[],[f11328,f11597]) ).
thf(f23899,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_294
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f23893]) ).
thf(f23900,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_284
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f23892]) ).
thf(f23905,plain,
( $false
| ~ spl2_294
| ~ spl2_298
| ~ spl2_313 ),
inference(forward_subsumption_resolution,[],[f23899,f11347]) ).
thf(f23906,plain,
( ~ spl2_294
| ~ spl2_298
| ~ spl2_313 ),
inference(avatar_contradiction_clause,[],[f23905]) ).
thf(f23907,plain,
( $false
| ~ spl2_284
| ~ spl2_294
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f23900,f18005]) ).
thf(f23908,plain,
( ~ spl2_284
| ~ spl2_294
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f23907]) ).
thf(f23910,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_300 ),
inference(avatar_component_clause,[],[f11358]) ).
thf(f23921,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_313
| ~ spl2_335 ),
inference(constrained_superposition,[],[f13162,f11597]) ).
thf(f23926,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_313
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f23921]) ).
thf(f23933,plain,
( $false
| ~ spl2_271
| ~ spl2_313
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f23926,f11119]) ).
thf(f23934,plain,
( ~ spl2_271
| ~ spl2_313
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f23933]) ).
thf(f23942,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_278
| ~ spl2_437 ),
inference(constrained_superposition,[],[f23326,f11180]) ).
thf(f23947,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_437 ),
inference(trivial_inequality_removal,[],[f23942]) ).
thf(f23952,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_43
| ~ spl2_347 ),
inference(constrained_superposition,[],[f925,f13561]) ).
thf(f23956,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_43
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f23952]) ).
thf(f23992,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_356
| ~ spl2_407 ),
inference(constrained_superposition,[],[f13720,f18005]) ).
thf(f23995,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_356 ),
inference(constrained_superposition,[],[f13720,f49]) ).
thf(f23997,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_356 ),
inference(trivial_inequality_removal,[],[f23995]) ).
thf(f24003,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_356
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f23992]) ).
thf(f24004,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342
| ~ spl2_356 ),
inference(forward_subsumption_resolution,[],[f23997,f13575]) ).
thf(f24007,plain,
( $false
| ~ spl2_280
| ~ spl2_356
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f24003,f11187]) ).
thf(f24008,plain,
( ~ spl2_280
| ~ spl2_356
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f24007]) ).
thf(f24009,plain,
( $false
| ~ spl2_331
| spl2_342
| ~ spl2_356 ),
inference(forward_subsumption_resolution,[],[f24004,f12699]) ).
thf(f24010,plain,
( ~ spl2_331
| spl2_342
| ~ spl2_356 ),
inference(avatar_contradiction_clause,[],[f24009]) ).
thf(f24011,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_278
| ~ spl2_308 ),
inference(constrained_superposition,[],[f23528,f11180]) ).
thf(f24028,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_17
| ~ spl2_278
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f24011]) ).
thf(f24050,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_29
| ~ spl2_284 ),
inference(constrained_superposition,[],[f791,f11201]) ).
thf(f24053,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29
| ~ spl2_347 ),
inference(constrained_superposition,[],[f791,f13561]) ).
thf(f24054,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f791,f49]) ).
thf(f24058,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_29
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f24050]) ).
thf(f24059,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f24053]) ).
thf(f24060,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f24054]) ).
thf(f24073,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_278 ),
inference(constrained_superposition,[],[f23401,f11180]) ).
thf(f24076,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f24073]) ).
thf(f24084,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f24076,f4036]) ).
thf(f24086,plain,
( spl2_306
| ~ spl2_110
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f24084,f11179,f4035,f11416]) ).
thf(f24102,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f23576,f50]) ).
thf(f24104,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f23576,f75]) ).
thf(f24108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_282
| ~ spl2_340 ),
inference(constrained_superposition,[],[f23576,f11194]) ).
thf(f24109,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_282
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f24108]) ).
thf(f24112,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f24104]) ).
thf(f24115,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f24102]) ).
thf(f24117,plain,
( spl2_375
| ~ spl2_68
| spl2_424
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f24112,f13491,f21299,f1379,f14623]) ).
thf(f24118,plain,
( spl2_346
| spl2_359
| ~ spl2_24
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f24115,f13491,f340,f13777,f13525]) ).
thf(f24172,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_387 ),
inference(constrained_superposition,[],[f24,f14983]) ).
thf(f24176,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f24172]) ).
thf(f24508,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_289 ),
inference(avatar_component_clause,[],[f11294]) ).
thf(f24521,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_287 ),
inference(avatar_component_clause,[],[f11234]) ).
thf(f24552,definition,
( spl2_442
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_442])],[avatar_definition]) ).
thf(f24553,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_442 ),
inference(avatar_component_clause,[],[f24552]) ).
thf(f24566,definition,
( spl2_444
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_444])],[avatar_definition]) ).
thf(f24567,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_444 ),
inference(avatar_component_clause,[],[f24566]) ).
thf(f24580,definition,
( spl2_446
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_446])],[avatar_definition]) ).
thf(f24581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_446 ),
inference(avatar_component_clause,[],[f24580]) ).
thf(f24642,definition,
( spl2_452
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_452])],[avatar_definition]) ).
thf(f24643,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_452 ),
inference(avatar_component_clause,[],[f24642]) ).
thf(f24645,definition,
( spl2_453
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_453])],[avatar_definition]) ).
thf(f24646,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_453 ),
inference(avatar_component_clause,[],[f24645]) ).
thf(f24649,definition,
( spl2_454
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_454])],[avatar_definition]) ).
thf(f24650,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_454 ),
inference(avatar_component_clause,[],[f24649]) ).
thf(f24652,definition,
( spl2_455
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_455])],[avatar_definition]) ).
thf(f24653,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_455 ),
inference(avatar_component_clause,[],[f24652]) ).
thf(f24656,definition,
( spl2_456
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_456])],[avatar_definition]) ).
thf(f24657,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_456 ),
inference(avatar_component_clause,[],[f24656]) ).
thf(f24670,definition,
( spl2_457
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_457])],[avatar_definition]) ).
thf(f24671,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_457 ),
inference(avatar_component_clause,[],[f24670]) ).
thf(f24673,definition,
( spl2_458
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_458])],[avatar_definition]) ).
thf(f24674,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_458 ),
inference(avatar_component_clause,[],[f24673]) ).
thf(f24677,definition,
( spl2_459
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_459])],[avatar_definition]) ).
thf(f24678,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_459 ),
inference(avatar_component_clause,[],[f24677]) ).
thf(f24680,definition,
( spl2_460
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_460])],[avatar_definition]) ).
thf(f24681,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_460 ),
inference(avatar_component_clause,[],[f24680]) ).
thf(f24727,definition,
( spl2_463
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_463])],[avatar_definition]) ).
thf(f24728,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_463 ),
inference(avatar_component_clause,[],[f24727]) ).
thf(f24966,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_299 ),
inference(avatar_component_clause,[],[f11349]) ).
thf(f24987,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_312 ),
inference(avatar_component_clause,[],[f11565]) ).
thf(f25024,definition,
( spl2_466
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_466])],[avatar_definition]) ).
thf(f25025,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_466 ),
inference(avatar_component_clause,[],[f25024]) ).
thf(f25027,definition,
( spl2_467
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_467])],[avatar_definition]) ).
thf(f25028,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_467 ),
inference(avatar_component_clause,[],[f25027]) ).
thf(f25031,definition,
( spl2_468
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_468])],[avatar_definition]) ).
thf(f25032,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_468 ),
inference(avatar_component_clause,[],[f25031]) ).
thf(f25034,definition,
( spl2_469
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_469])],[avatar_definition]) ).
thf(f25035,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_469 ),
inference(avatar_component_clause,[],[f25034]) ).
thf(f25038,definition,
( spl2_470
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_470])],[avatar_definition]) ).
thf(f25039,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_470 ),
inference(avatar_component_clause,[],[f25038]) ).
thf(f25041,definition,
( spl2_471
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_471])],[avatar_definition]) ).
thf(f25042,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_471 ),
inference(avatar_component_clause,[],[f25041]) ).
thf(f25045,definition,
( spl2_472
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_472])],[avatar_definition]) ).
thf(f25046,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_472 ),
inference(avatar_component_clause,[],[f25045]) ).
thf(f25048,definition,
( spl2_473
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_473])],[avatar_definition]) ).
thf(f25049,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_473 ),
inference(avatar_component_clause,[],[f25048]) ).
thf(f25064,definition,
( spl2_474
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_474])],[avatar_definition]) ).
thf(f25065,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_474 ),
inference(avatar_component_clause,[],[f25064]) ).
thf(f25067,definition,
( spl2_475
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_475])],[avatar_definition]) ).
thf(f25068,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_475 ),
inference(avatar_component_clause,[],[f25067]) ).
thf(f25071,definition,
( spl2_476
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_476])],[avatar_definition]) ).
thf(f25072,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_476 ),
inference(avatar_component_clause,[],[f25071]) ).
thf(f25074,definition,
( spl2_477
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_477])],[avatar_definition]) ).
thf(f25075,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_477 ),
inference(avatar_component_clause,[],[f25074]) ).
thf(f25079,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_284
| ~ spl2_424 ),
inference(constrained_superposition,[],[f22695,f21300]) ).
thf(f25080,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_361
| ~ spl2_424 ),
inference(constrained_superposition,[],[f13858,f21300]) ).
thf(f25081,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_396
| ~ spl2_424 ),
inference(constrained_superposition,[],[f16102,f21300]) ).
thf(f25088,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_424 ),
inference(constrained_superposition,[],[f1579,f21300]) ).
thf(f25090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_284
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f25079]) ).
thf(f25094,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_361
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f25080]) ).
thf(f25099,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f25088]) ).
thf(f25101,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_396
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f25081]) ).
thf(f25103,plain,
( spl2_426
| ~ spl2_284
| ~ spl2_424 ),
inference(avatar_split_clause,[],[f25090,f21299,f11200,f21519]) ).
thf(f25104,plain,
( $false
| ~ spl2_28
| ~ spl2_361
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f25094,f785]) ).
thf(f25105,plain,
( ~ spl2_28
| ~ spl2_361
| ~ spl2_424 ),
inference(avatar_contradiction_clause,[],[f25104]) ).
thf(f25107,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_347
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f25099,f13561]) ).
thf(f25110,plain,
( $false
| ~ spl2_94
| ~ spl2_396
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f25101,f3358]) ).
thf(f25111,plain,
( ~ spl2_94
| ~ spl2_396
| ~ spl2_424 ),
inference(avatar_contradiction_clause,[],[f25110]) ).
thf(f25112,plain,
( $false
| spl2_4
| ~ spl2_32
| ~ spl2_347
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f25107,f89]) ).
thf(f25113,plain,
( spl2_4
| ~ spl2_32
| ~ spl2_347
| ~ spl2_424 ),
inference(avatar_contradiction_clause,[],[f25112]) ).
thf(f25116,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_284
| ~ spl2_412 ),
inference(constrained_superposition,[],[f22695,f18634]) ).
thf(f25117,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_361
| ~ spl2_412 ),
inference(constrained_superposition,[],[f13858,f18634]) ).
thf(f25120,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_412 ),
inference(constrained_superposition,[],[f949,f18634]) ).
thf(f25125,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_412 ),
inference(constrained_superposition,[],[f791,f18634]) ).
thf(f25129,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_361
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f25117]) ).
thf(f25132,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_284
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f25116]) ).
thf(f25135,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f25125]) ).
thf(f25142,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f25120]) ).
thf(f25143,plain,
( $false
| ~ spl2_271
| ~ spl2_361
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f25129,f11119]) ).
thf(f25144,plain,
( ~ spl2_271
| ~ spl2_361
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f25143]) ).
thf(f25170,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_453 ),
inference(constrained_superposition,[],[f23401,f24646]) ).
thf(f25178,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_17
| ~ spl2_308
| ~ spl2_453 ),
inference(constrained_superposition,[],[f23528,f24646]) ).
thf(f25188,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_17
| ~ spl2_308
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f25178]) ).
thf(f25193,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f25170]) ).
thf(f25204,definition,
( spl2_478
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_478])],[avatar_definition]) ).
thf(f25205,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| spl2_478 ),
inference(avatar_component_clause,[],[f25204]) ).
thf(f25207,definition,
( spl2_479
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_479])],[avatar_definition]) ).
thf(f25208,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_479 ),
inference(avatar_component_clause,[],[f25207]) ).
thf(f25209,plain,
( ~ spl2_478
| ~ spl2_479
| ~ spl2_17
| ~ spl2_308
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f25188,f24645,f11425,f218,f25207,f25204]) ).
thf(f25212,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f25193,f4036]) ).
thf(f25213,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_467 ),
inference(avatar_component_clause,[],[f25027]) ).
thf(f25223,definition,
( spl2_482
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_482])],[avatar_definition]) ).
thf(f25224,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_482 ),
inference(avatar_component_clause,[],[f25223]) ).
thf(f25226,definition,
( spl2_483
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_483])],[avatar_definition]) ).
thf(f25227,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_483 ),
inference(avatar_component_clause,[],[f25226]) ).
thf(f25230,definition,
( spl2_484
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_484])],[avatar_definition]) ).
thf(f25231,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_484 ),
inference(avatar_component_clause,[],[f25230]) ).
thf(f25233,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_478 ),
inference(avatar_component_clause,[],[f25204]) ).
thf(f25236,plain,
( spl2_484
| ~ spl2_110
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f25212,f24645,f4035,f25230]) ).
thf(f25237,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_478 ),
inference(constrained_superposition,[],[f25205,f29]) ).
thf(f25238,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_478 ),
inference(trivial_inequality_removal,[],[f25237]) ).
thf(f25239,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_478 ),
inference(forward_subsumption_resolution,[],[f25238,f40]) ).
thf(f25240,plain,
( spl2_482
| spl2_478 ),
inference(avatar_split_clause,[],[f25239,f25204,f25223]) ).
thf(f25260,definition,
( spl2_485
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_485])],[avatar_definition]) ).
thf(f25261,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_485 ),
inference(avatar_component_clause,[],[f25260]) ).
thf(f25272,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_485 ),
inference(constrained_superposition,[],[f178,f25261]) ).
thf(f25362,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_23
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f25272,f337]) ).
thf(f25373,plain,
( $false
| spl2_23
| spl2_80
| ~ spl2_485 ),
inference(forward_subsumption_resolution,[],[f25362,f1636]) ).
thf(f25374,plain,
( spl2_23
| spl2_80
| ~ spl2_485 ),
inference(avatar_contradiction_clause,[],[f25373]) ).
thf(f25452,definition,
( spl2_491
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_491])],[avatar_definition]) ).
thf(f25453,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_491 ),
inference(avatar_component_clause,[],[f25452]) ).
thf(f25457,definition,
( spl2_492
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_492])],[avatar_definition]) ).
thf(f25458,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_492 ),
inference(avatar_component_clause,[],[f25457]) ).
thf(f25461,definition,
( spl2_493
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_493])],[avatar_definition]) ).
thf(f25462,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_493 ),
inference(avatar_component_clause,[],[f25461]) ).
thf(f25495,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_346
| ~ spl2_426 ),
inference(constrained_superposition,[],[f21520,f13526]) ).
thf(f25501,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_346
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f25495]) ).
thf(f25503,plain,
( $false
| ~ spl2_32
| ~ spl2_346
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f25501,f929]) ).
thf(f25504,plain,
( ~ spl2_32
| ~ spl2_346
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f25503]) ).
thf(f25520,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_454 ),
inference(constrained_superposition,[],[f949,f24650]) ).
thf(f25525,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_29
| ~ spl2_454 ),
inference(constrained_superposition,[],[f791,f24650]) ).
thf(f25526,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_454 ),
inference(constrained_superposition,[],[f22608,f24650]) ).
thf(f25530,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f25526]) ).
thf(f25531,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f25525]) ).
thf(f25537,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f25520]) ).
thf(f25539,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_409
| ~ spl2_458 ),
inference(constrained_superposition,[],[f18042,f24674]) ).
thf(f25540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_284
| ~ spl2_458 ),
inference(constrained_superposition,[],[f22695,f24674]) ).
thf(f25541,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_396
| ~ spl2_458 ),
inference(constrained_superposition,[],[f16102,f24674]) ).
thf(f25550,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_458 ),
inference(constrained_superposition,[],[f1579,f24674]) ).
thf(f25555,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_396
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f25541]) ).
thf(f25557,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_284
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f25540]) ).
thf(f25563,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f25550]) ).
thf(f25564,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_409
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f25539]) ).
thf(f25566,plain,
( $false
| ~ spl2_396
| ~ spl2_458
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f25555,f25224]) ).
thf(f25567,plain,
( ~ spl2_396
| ~ spl2_458
| ~ spl2_482 ),
inference(avatar_contradiction_clause,[],[f25566]) ).
thf(f25570,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_347
| ~ spl2_458 ),
inference(forward_subsumption_resolution,[],[f25563,f13561]) ).
thf(f25571,plain,
( $false
| ~ spl2_409
| ~ spl2_458
| ~ spl2_466 ),
inference(forward_subsumption_resolution,[],[f25564,f25025]) ).
thf(f25572,plain,
( ~ spl2_409
| ~ spl2_458
| ~ spl2_466 ),
inference(avatar_contradiction_clause,[],[f25571]) ).
thf(f25576,definition,
( spl2_494
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_494])],[avatar_definition]) ).
thf(f25577,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_494 ),
inference(avatar_component_clause,[],[f25576]) ).
thf(f25579,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_479 ),
inference(avatar_component_clause,[],[f25207]) ).
thf(f25583,plain,
( spl2_478
| ~ spl2_32
| ~ spl2_347
| ~ spl2_458 ),
inference(avatar_split_clause,[],[f25570,f24673,f13560,f806,f25204]) ).
thf(f25609,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_432
| ~ spl2_493 ),
inference(constrained_superposition,[],[f22624,f25462]) ).
thf(f25619,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_432
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f25609]) ).
thf(f25624,definition,
( spl2_497
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_497])],[avatar_definition]) ).
thf(f25625,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_497 ),
inference(avatar_component_clause,[],[f25624]) ).
thf(f25627,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_76
| ~ spl2_491 ),
inference(constrained_superposition,[],[f23546,f25453]) ).
thf(f25629,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_491 ),
inference(constrained_superposition,[],[f949,f25453]) ).
thf(f25641,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_76
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f25627]) ).
thf(f25644,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f25629]) ).
thf(f25646,definition,
( spl2_498
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_498])],[avatar_definition]) ).
thf(f25647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_498 ),
inference(avatar_component_clause,[],[f25646]) ).
thf(f25649,plain,
( spl2_479
| ~ spl2_76
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f25641,f25452,f1437,f25207]) ).
thf(f25650,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_28
| ~ spl2_47
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f25644,f785]) ).
thf(f25651,plain,
( spl2_479
| ~ spl2_28
| ~ spl2_47
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f25650,f25452,f948,f784,f25207]) ).
thf(f25652,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_89
| ~ spl2_479 ),
inference(constrained_superposition,[],[f3337,f25579]) ).
thf(f25676,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_89
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f25652]) ).
thf(f25682,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_89
| ~ spl2_478
| ~ spl2_479 ),
inference(forward_subsumption_resolution,[],[f25676,f25233]) ).
thf(f25693,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_89
| ~ spl2_478
| ~ spl2_479 ),
inference(constrained_superposition,[],[f25682,f29]) ).
thf(f25694,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_89
| ~ spl2_478
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f25693]) ).
thf(f25703,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_467 ),
inference(constrained_superposition,[],[f23401,f25028]) ).
thf(f25731,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f25703]) ).
thf(f25742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_467 ),
inference(forward_subsumption_resolution,[],[f25731,f4036]) ).
thf(f25746,plain,
( spl2_492
| ~ spl2_110
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f25742,f25027,f4035,f25457]) ).
thf(f25749,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_110
| ~ spl2_468 ),
inference(constrained_superposition,[],[f23401,f25032]) ).
thf(f25751,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_387
| ~ spl2_468 ),
inference(constrained_superposition,[],[f24176,f25032]) ).
thf(f25762,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f25749]) ).
thf(f25764,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_387
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f25751]) ).
thf(f25775,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_274
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f25762,f11310]) ).
thf(f25776,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_274
| ~ spl2_387
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f25764,f11310]) ).
thf(f25779,plain,
( spl2_492
| ~ spl2_110
| ~ spl2_274
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f25775,f25031,f11129,f4035,f25457]) ).
thf(f25780,plain,
( spl2_492
| spl2_344
| ~ spl2_274
| ~ spl2_387
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f25776,f25031,f14982,f11129,f13509,f25457]) ).
thf(f25936,definition,
( spl2_502
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_502])],[avatar_definition]) ).
thf(f25937,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_502 ),
inference(avatar_component_clause,[],[f25936]) ).
thf(f25969,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_502 ),
inference(constrained_superposition,[],[f75,f25937]) ).
thf(f25973,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl2_502 ),
inference(constrained_superposition,[],[f85,f25937]) ).
thf(f25976,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_502 ),
inference(constrained_superposition,[],[f178,f25937]) ).
thf(f25985,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_90
| ~ spl2_502 ),
inference(constrained_superposition,[],[f3342,f25937]) ).
thf(f25987,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_96
| ~ spl2_502 ),
inference(constrained_superposition,[],[f3368,f25937]) ).
thf(f26033,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_502 ),
inference(duplicate_literal_removal,[],[f25973]) ).
thf(f26045,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_25
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f26033,f385]) ).
thf(f26046,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_90
| ~ spl2_94
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f25985,f3358]) ).
thf(f26064,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_25
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f25969,f385]) ).
thf(f26065,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_23
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f25976,f337]) ).
thf(f26070,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_7
| ~ spl2_96
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f25987,f113]) ).
thf(f26078,plain,
( spl2_117
| spl2_25
| ~ spl2_502 ),
inference(avatar_split_clause,[],[f26045,f25936,f384,f6088]) ).
thf(f26079,plain,
( $false
| spl2_7
| ~ spl2_90
| ~ spl2_94
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f26046,f113]) ).
thf(f26080,plain,
( spl2_7
| ~ spl2_90
| ~ spl2_94
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f26079]) ).
thf(f26091,plain,
( $false
| spl2_7
| spl2_25
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f26064,f113]) ).
thf(f26092,plain,
( spl2_7
| spl2_25
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f26091]) ).
thf(f26093,plain,
( $false
| spl2_23
| spl2_80
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f26065,f1636]) ).
thf(f26094,plain,
( spl2_23
| spl2_80
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f26093]) ).
thf(f26098,plain,
( $false
| spl2_4
| spl2_7
| ~ spl2_96
| ~ spl2_502 ),
inference(forward_subsumption_resolution,[],[f26070,f89]) ).
thf(f26099,plain,
( spl2_4
| spl2_7
| ~ spl2_96
| ~ spl2_502 ),
inference(avatar_contradiction_clause,[],[f26098]) ).
thf(f26103,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_469 ),
inference(constrained_superposition,[],[f949,f25035]) ).
thf(f26107,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_428
| ~ spl2_469 ),
inference(constrained_superposition,[],[f22027,f25035]) ).
thf(f26108,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_469 ),
inference(constrained_superposition,[],[f791,f25035]) ).
thf(f26112,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f26103]) ).
thf(f26115,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f26108]) ).
thf(f26116,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_428
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f26107]) ).
thf(f26123,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_428
| ~ spl2_469 ),
inference(constrained_superposition,[],[f26116,f178]) ).
thf(f26126,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_428
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f26123]) ).
thf(f26130,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_491
| ~ spl2_497 ),
inference(constrained_superposition,[],[f25625,f25453]) ).
thf(f26134,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_491
| ~ spl2_497 ),
inference(trivial_inequality_removal,[],[f26130]) ).
thf(f26140,plain,
( $false
| ~ spl2_94
| ~ spl2_491
| ~ spl2_497 ),
inference(forward_subsumption_resolution,[],[f26134,f3358]) ).
thf(f26141,plain,
( ~ spl2_94
| ~ spl2_491
| ~ spl2_497 ),
inference(avatar_contradiction_clause,[],[f26140]) ).
thf(f26144,plain,
( spl2_491
| spl2_502
| ~ spl2_89
| ~ spl2_478
| ~ spl2_479 ),
inference(avatar_split_clause,[],[f25694,f25207,f25204,f3336,f25936,f25452]) ).
thf(f26171,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_452 ),
inference(constrained_superposition,[],[f30,f24643]) ).
thf(f26180,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f26171]) ).
thf(f26181,plain,
( spl2_442
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f26180,f24642,f24552]) ).
thf(f26201,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_460 ),
inference(constrained_superposition,[],[f57,f24681]) ).
thf(f26202,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_347
| ~ spl2_460 ),
inference(constrained_superposition,[],[f23458,f24681]) ).
thf(f26207,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f26201]) ).
thf(f26209,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_32
| ~ spl2_347
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f26202]) ).
thf(f26225,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_471 ),
inference(constrained_superposition,[],[f30,f25042]) ).
thf(f26228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f26225]) ).
thf(f26239,definition,
( spl2_505
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_505])],[avatar_definition]) ).
thf(f26240,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_505 ),
inference(avatar_component_clause,[],[f26239]) ).
thf(f26242,plain,
( spl2_442
| ~ spl2_471 ),
inference(avatar_split_clause,[],[f26228,f25041,f24552]) ).
thf(f26244,definition,
( spl2_506
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_506])],[avatar_definition]) ).
thf(f26245,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_506 ),
inference(avatar_component_clause,[],[f26244]) ).
thf(f26256,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_470 ),
inference(constrained_superposition,[],[f22945,f25039]) ).
thf(f26257,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_301
| ~ spl2_470 ),
inference(constrained_superposition,[],[f11395,f25039]) ).
thf(f26273,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_301
| ~ spl2_470 ),
inference(trivial_inequality_removal,[],[f26257]) ).
thf(f26275,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_278
| ~ spl2_470 ),
inference(trivial_inequality_removal,[],[f26256]) ).
thf(f26283,definition,
( spl2_508
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_508])],[avatar_definition]) ).
thf(f26284,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_508 ),
inference(avatar_component_clause,[],[f26283]) ).
thf(f26295,definition,
( spl2_511
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_511])],[avatar_definition]) ).
thf(f26296,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_511 ),
inference(avatar_component_clause,[],[f26295]) ).
thf(f26297,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| spl2_505 ),
inference(avatar_component_clause,[],[f26239]) ).
thf(f26298,plain,
( ~ spl2_511
| ~ spl2_505
| ~ spl2_301
| ~ spl2_470 ),
inference(avatar_split_clause,[],[f26273,f25038,f11394,f26239,f26295]) ).
thf(f26301,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_274
| ~ spl2_278
| ~ spl2_470 ),
inference(forward_subsumption_resolution,[],[f26275,f4036]) ).
thf(f26308,plain,
( ~ spl2_511
| ~ spl2_110
| ~ spl2_274
| ~ spl2_278
| ~ spl2_470 ),
inference(avatar_split_clause,[],[f26301,f25038,f11179,f11129,f4035,f26295]) ).
thf(f26400,definition,
( spl2_518
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_518])],[avatar_definition]) ).
thf(f26401,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_518 ),
inference(avatar_component_clause,[],[f26400]) ).
thf(f26716,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_472 ),
inference(constrained_superposition,[],[f22608,f25046]) ).
thf(f26727,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f26716]) ).
thf(f26732,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_463 ),
inference(constrained_superposition,[],[f24728,f75]) ).
thf(f26736,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_282
| ~ spl2_463 ),
inference(constrained_superposition,[],[f24728,f11194]) ).
thf(f26737,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_463 ),
inference(trivial_inequality_removal,[],[f26732]) ).
thf(f26742,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_282
| ~ spl2_463 ),
inference(trivial_inequality_removal,[],[f26736]) ).
thf(f26745,plain,
( spl2_424
| ~ spl2_415
| ~ spl2_463 ),
inference(avatar_split_clause,[],[f26737,f24727,f19104,f21299]) ).
thf(f26747,plain,
( $false
| ~ spl2_278
| ~ spl2_282
| ~ spl2_463 ),
inference(forward_subsumption_resolution,[],[f26742,f11180]) ).
thf(f26748,plain,
( ~ spl2_278
| ~ spl2_282
| ~ spl2_463 ),
inference(avatar_contradiction_clause,[],[f26747]) ).
thf(f26755,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_475 ),
inference(constrained_superposition,[],[f85,f25068]) ).
thf(f26769,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_475 ),
inference(trivial_inequality_removal,[],[f26755]) ).
thf(f26788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_475 ),
inference(forward_subsumption_resolution,[],[f26769,f4036]) ).
thf(f26794,definition,
( spl2_522
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_522])],[avatar_definition]) ).
thf(f26795,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_522 ),
inference(avatar_component_clause,[],[f26794]) ).
thf(f26796,plain,
( spl2_522
| spl2_424
| ~ spl2_110
| ~ spl2_475 ),
inference(avatar_split_clause,[],[f26788,f25067,f4035,f21299,f26794]) ).
thf(f26868,definition,
( spl2_525
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_525])],[avatar_definition]) ).
thf(f26869,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_525 ),
inference(avatar_component_clause,[],[f26868]) ).
thf(f26881,definition,
( spl2_527
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_527])],[avatar_definition]) ).
thf(f26882,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_527 ),
inference(avatar_component_clause,[],[f26881]) ).
thf(f26918,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| spl2_505 ),
inference(constrained_superposition,[],[f26297,f29]) ).
thf(f26919,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| spl2_505 ),
inference(trivial_inequality_removal,[],[f26918]) ).
thf(f26920,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| spl2_505 ),
inference(forward_subsumption_resolution,[],[f26919,f40]) ).
thf(f26921,plain,
( spl2_508
| spl2_505 ),
inference(avatar_split_clause,[],[f26920,f26239,f26283]) ).
thf(f26922,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_43
| ~ spl2_508 ),
inference(constrained_superposition,[],[f925,f26284]) ).
thf(f26933,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_43
| ~ spl2_508 ),
inference(trivial_inequality_removal,[],[f26922]) ).
thf(f26936,plain,
( spl2_506
| ~ spl2_43
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f26933,f26283,f924,f26244]) ).
thf(f26990,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_511 ),
inference(constrained_superposition,[],[f26296,f179]) ).
thf(f26995,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_511 ),
inference(trivial_inequality_removal,[],[f26990]) ).
thf(f26999,definition,
( spl2_529
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_529])],[avatar_definition]) ).
thf(f27000,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_529 ),
inference(avatar_component_clause,[],[f26999]) ).
thf(f27002,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_511 ),
inference(forward_subsumption_resolution,[],[f26995,f40]) ).
thf(f27008,plain,
( spl2_529
| spl2_511 ),
inference(avatar_split_clause,[],[f27002,f26295,f26999]) ).
thf(f27010,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_270
| ~ spl2_529 ),
inference(constrained_superposition,[],[f11108,f27000]) ).
thf(f27029,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_270
| ~ spl2_529 ),
inference(trivial_inequality_removal,[],[f27010]) ).
thf(f27095,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_409
| ~ spl2_474 ),
inference(constrained_superposition,[],[f18042,f25065]) ).
thf(f27097,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_396
| ~ spl2_474 ),
inference(constrained_superposition,[],[f16102,f25065]) ).
thf(f27113,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_409
| ~ spl2_474 ),
inference(trivial_inequality_removal,[],[f27095]) ).
thf(f27119,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_396
| ~ spl2_474 ),
inference(trivial_inequality_removal,[],[f27097]) ).
thf(f27123,plain,
( $false
| ~ spl2_409
| ~ spl2_474
| ~ spl2_529 ),
inference(forward_subsumption_resolution,[],[f27113,f27000]) ).
thf(f27124,plain,
( ~ spl2_409
| ~ spl2_474
| ~ spl2_529 ),
inference(avatar_contradiction_clause,[],[f27123]) ).
thf(f27127,plain,
( $false
| ~ spl2_396
| ~ spl2_474
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f27119,f26284]) ).
thf(f27128,plain,
( ~ spl2_396
| ~ spl2_474
| ~ spl2_508 ),
inference(avatar_contradiction_clause,[],[f27127]) ).
thf(f27143,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_470
| ~ spl2_522 ),
inference(constrained_superposition,[],[f26795,f25039]) ).
thf(f27145,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_470
| ~ spl2_522 ),
inference(trivial_inequality_removal,[],[f27143]) ).
thf(f27152,plain,
( $false
| ~ spl2_110
| ~ spl2_470
| ~ spl2_522 ),
inference(forward_subsumption_resolution,[],[f27145,f4036]) ).
thf(f27153,plain,
( ~ spl2_110
| ~ spl2_470
| ~ spl2_522 ),
inference(avatar_contradiction_clause,[],[f27152]) ).
thf(f27166,definition,
( spl2_535
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_535])],[avatar_definition]) ).
thf(f27167,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_535 ),
inference(avatar_component_clause,[],[f27166]) ).
thf(f27252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_340
| ~ spl2_475 ),
inference(constrained_superposition,[],[f23576,f25068]) ).
thf(f27277,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_340
| ~ spl2_475 ),
inference(trivial_inequality_removal,[],[f27252]) ).
thf(f27284,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_340
| ~ spl2_475
| ~ spl2_506 ),
inference(forward_subsumption_resolution,[],[f27277,f26245]) ).
thf(f27288,plain,
( spl2_525
| ~ spl2_340
| ~ spl2_475
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f27284,f26244,f25067,f13491,f26868]) ).
thf(f27383,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_535 ),
inference(constrained_superposition,[],[f27167,f75]) ).
thf(f27392,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_535 ),
inference(trivial_inequality_removal,[],[f27383]) ).
thf(f27425,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f25458,f75]) ).
thf(f27429,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f27425]) ).
thf(f27456,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f25231,f177]) ).
thf(f27459,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f27456]) ).
thf(f27467,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_270
| ~ spl2_477
| ~ spl2_529 ),
inference(constrained_superposition,[],[f27029,f25075]) ).
thf(f27468,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_270
| ~ spl2_527
| ~ spl2_529 ),
inference(constrained_superposition,[],[f27029,f26882]) ).
thf(f27478,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_270
| ~ spl2_477
| ~ spl2_529 ),
inference(trivial_inequality_removal,[],[f27467]) ).
thf(f27479,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_270
| ~ spl2_527
| ~ spl2_529 ),
inference(trivial_inequality_removal,[],[f27468]) ).
thf(f27480,plain,
( $false
| ~ spl2_270
| ~ spl2_407
| ~ spl2_477
| ~ spl2_529 ),
inference(forward_subsumption_resolution,[],[f27478,f18005]) ).
thf(f27481,plain,
( ~ spl2_270
| ~ spl2_407
| ~ spl2_477
| ~ spl2_529 ),
inference(avatar_contradiction_clause,[],[f27480]) ).
thf(f27482,plain,
( $false
| ~ spl2_270
| ~ spl2_298
| ~ spl2_527
| ~ spl2_529 ),
inference(forward_subsumption_resolution,[],[f27479,f11347]) ).
thf(f27483,plain,
( ~ spl2_270
| ~ spl2_298
| ~ spl2_527
| ~ spl2_529 ),
inference(avatar_contradiction_clause,[],[f27482]) ).
thf(f27484,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_284
| ~ spl2_458
| ~ spl2_469 ),
inference(constrained_superposition,[],[f25557,f25035]) ).
thf(f27489,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_284
| ~ spl2_458
| ~ spl2_493 ),
inference(constrained_superposition,[],[f25557,f25462]) ).
thf(f27493,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_284
| ~ spl2_458
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f27484]) ).
thf(f27501,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_284
| ~ spl2_458
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f27489]) ).
thf(f27502,plain,
( $false
| ~ spl2_284
| ~ spl2_412
| ~ spl2_458
| ~ spl2_469 ),
inference(forward_subsumption_resolution,[],[f27493,f18634]) ).
thf(f27503,plain,
( ~ spl2_284
| ~ spl2_412
| ~ spl2_458
| ~ spl2_469 ),
inference(avatar_contradiction_clause,[],[f27502]) ).
thf(f27505,plain,
( $false
| ~ spl2_284
| ~ spl2_346
| ~ spl2_458
| ~ spl2_493 ),
inference(forward_subsumption_resolution,[],[f27501,f13526]) ).
thf(f27506,plain,
( ~ spl2_284
| ~ spl2_346
| ~ spl2_458
| ~ spl2_493 ),
inference(avatar_contradiction_clause,[],[f27505]) ).
thf(f27511,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_347
| ~ spl2_460 ),
inference(constrained_superposition,[],[f26209,f49]) ).
thf(f27514,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_32
| ~ spl2_347
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f27511]) ).
thf(f27519,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_457 ),
inference(constrained_superposition,[],[f195,f24671]) ).
thf(f27520,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_457 ),
inference(constrained_superposition,[],[f4554,f24671]) ).
thf(f27524,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_457 ),
inference(constrained_superposition,[],[f59,f24671]) ).
thf(f27532,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_96
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f27520]) ).
thf(f27533,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f27519]) ).
thf(f27542,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f27524]) ).
thf(f27557,definition,
( spl2_539
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_539])],[avatar_definition]) ).
thf(f27558,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_539 ),
inference(avatar_component_clause,[],[f27557]) ).
thf(f27634,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_280
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f11187]) ).
thf(f27635,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_284
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f11201]) ).
thf(f27638,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_313
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f11597]) ).
thf(f27639,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_423
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f21289]) ).
thf(f27640,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_331
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f12699]) ).
thf(f27645,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_284
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f27635]) ).
thf(f27646,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_313
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f27638]) ).
thf(f27647,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_280
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f27634]) ).
thf(f27648,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_331
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f27640]) ).
thf(f27650,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_423
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f27639]) ).
thf(f27654,plain,
( spl2_356
| ~ spl2_284
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f27645,f24552,f11200,f13719]) ).
thf(f27655,plain,
( spl2_366
| ~ spl2_313
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f27646,f24552,f11596,f14231]) ).
thf(f27656,plain,
( spl2_335
| ~ spl2_280
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f27647,f24552,f11186,f13161]) ).
thf(f27657,plain,
( spl2_318
| ~ spl2_331
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f27648,f24552,f12698,f11676]) ).
thf(f27658,plain,
( spl2_431
| ~ spl2_423
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f27650,f24552,f21288,f22557]) ).
thf(f27664,definition,
( spl2_540
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_540])],[avatar_definition]) ).
thf(f27665,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_540 ),
inference(avatar_component_clause,[],[f27664]) ).
thf(f27667,plain,
( ~ spl2_415
| spl2_491
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f27429,f25457,f25452,f19104]) ).
thf(f27670,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_96
| spl2_342
| ~ spl2_457 ),
inference(forward_subsumption_resolution,[],[f27532,f13575]) ).
thf(f27672,definition,
( spl2_541
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_541])],[avatar_definition]) ).
thf(f27673,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_541 ),
inference(avatar_component_clause,[],[f27672]) ).
thf(f27675,definition,
( spl2_542
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_542])],[avatar_definition]) ).
thf(f27676,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_542 ),
inference(avatar_component_clause,[],[f27675]) ).
thf(f27678,plain,
( spl2_366
| spl2_295
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f23490,f11596,f11331,f14231]) ).
thf(f27680,plain,
( spl2_478
| ~ spl2_32
| ~ spl2_347
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f27514,f24680,f13560,f806,f25204]) ).
thf(f27686,definition,
( spl2_544
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_544])],[avatar_definition]) ).
thf(f27687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_544 ),
inference(avatar_component_clause,[],[f27686]) ).
thf(f27688,plain,
( spl2_544
| spl2_478
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f26207,f24680,f25204,f27686]) ).
thf(f27689,plain,
( spl2_295
| ~ spl2_331
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f23423,f22613,f12698,f11331]) ).
thf(f27690,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_542 ),
inference(avatar_component_clause,[],[f27675]) ).
thf(f27698,definition,
( spl2_546
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_546])],[avatar_definition]) ).
thf(f27699,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_546 ),
inference(avatar_component_clause,[],[f27698]) ).
thf(f27707,definition,
( spl2_548
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_548])],[avatar_definition]) ).
thf(f27708,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_548 ),
inference(avatar_component_clause,[],[f27707]) ).
thf(f27712,plain,
( spl2_542
| ~ spl2_432
| ~ spl2_493 ),
inference(avatar_split_clause,[],[f25619,f25461,f22613,f27675]) ).
thf(f27715,definition,
( spl2_549
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_549])],[avatar_definition]) ).
thf(f27716,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_549 ),
inference(avatar_component_clause,[],[f27715]) ).
thf(f27720,definition,
( spl2_550
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_550])],[avatar_definition]) ).
thf(f27721,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_550 ),
inference(avatar_component_clause,[],[f27720]) ).
thf(f27728,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_71
| ~ spl2_413 ),
inference(forward_subsumption_resolution,[],[f1393,f18667]) ).
thf(f27736,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_74
| ~ spl2_413 ),
inference(forward_subsumption_resolution,[],[f1405,f18667]) ).
thf(f27741,definition,
( spl2_553
<=> ! [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_553])],[avatar_definition]) ).
thf(f27742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_553 ),
inference(avatar_component_clause,[],[f27741]) ).
thf(f27743,plain,
( ~ spl2_542
| spl2_553
| ~ spl2_96
| spl2_342
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f27670,f24670,f13499,f3367,f27741,f27675]) ).
thf(f27745,definition,
( spl2_554
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_554])],[avatar_definition]) ).
thf(f27746,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_554 ),
inference(avatar_component_clause,[],[f27745]) ).
thf(f27754,plain,
( spl2_384
| ~ spl2_71
| ~ spl2_413 ),
inference(avatar_split_clause,[],[f27728,f18666,f1392,f14969]) ).
thf(f27756,plain,
( spl2_386
| ~ spl2_74
| ~ spl2_413 ),
inference(avatar_split_clause,[],[f27736,f18666,f1404,f14978]) ).
thf(f27789,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_308 ),
inference(constrained_superposition,[],[f213,f11679]) ).
thf(f27791,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_479 ),
inference(constrained_superposition,[],[f213,f25579]) ).
thf(f27796,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f27791]) ).
thf(f27797,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f27789]) ).
thf(f27803,plain,
( ~ spl2_478
| ~ spl2_15
| ~ spl2_479 ),
inference(avatar_split_clause,[],[f27796,f25207,f212,f25204]) ).
thf(f27804,plain,
( $false
| ~ spl2_15
| ~ spl2_293
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f27797,f11317]) ).
thf(f27805,plain,
( ~ spl2_15
| ~ spl2_293
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f27804]) ).
thf(f27808,definition,
( spl2_555
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_555])],[avatar_definition]) ).
thf(f27811,plain,
( ~ spl2_32
| spl2_96
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f22830,f3332,f3367,f806]) ).
thf(f27815,definition,
( spl2_556
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_556])],[avatar_definition]) ).
thf(f27816,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_556 ),
inference(avatar_component_clause,[],[f27815]) ).
thf(f27817,plain,
( ~ spl2_400
| spl2_556
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f27459,f25230,f27815,f17009]) ).
thf(f27819,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_282
| ~ spl2_308
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f24109,f11679]) ).
thf(f27821,plain,
( ~ spl2_10
| spl2_331
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f23783,f17374,f12698,f122]) ).
thf(f27824,plain,
( spl2_343
| ~ spl2_32
| ~ spl2_88
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f23462,f13560,f3332,f806,f13503]) ).
thf(f27829,plain,
( ~ spl2_316
| ~ spl2_10
| ~ spl2_274
| ~ spl2_278
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f22988,f11316,f11179,f11129,f122,f11616]) ).
thf(f27831,definition,
( spl2_557
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_557])],[avatar_definition]) ).
thf(f27832,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_557 ),
inference(avatar_component_clause,[],[f27831]) ).
thf(f27835,plain,
( spl2_554
| spl2_346
| ~ spl2_478
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f27542,f24670,f25204,f13525,f27745]) ).
thf(f27839,plain,
( spl2_46
| ~ spl2_20
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f24060,f790,f262,f943]) ).
thf(f27841,definition,
( spl2_558
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_558])],[avatar_definition]) ).
thf(f27842,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_558 ),
inference(avatar_component_clause,[],[f27841]) ).
thf(f27844,plain,
( spl2_375
| ~ spl2_343
| spl2_28
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f23579,f13491,f784,f13503,f14623]) ).
thf(f27849,plain,
( spl2_351
| ~ spl2_282
| ~ spl2_308
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f27819,f13491,f11425,f11193,f13578]) ).
thf(f27857,plain,
( ~ spl2_288
| spl2_11
| ~ spl2_88
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f23489,f11596,f3332,f198,f11291]) ).
thf(f27860,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_555 ),
inference(avatar_component_clause,[],[f27808]) ).
thf(f27863,definition,
( spl2_559
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_559])],[avatar_definition]) ).
thf(f27864,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_559 ),
inference(avatar_component_clause,[],[f27863]) ).
thf(f27866,plain,
( ~ spl2_295
| ~ spl2_302
| ~ spl2_278
| ~ spl2_437 ),
inference(avatar_split_clause,[],[f23947,f23325,f11179,f11400,f11331]) ).
thf(f27867,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f22989,f11310]) ).
thf(f27868,plain,
( ~ spl2_19
| spl2_295
| ~ spl2_91
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f23494,f11596,f3345,f11331,f246]) ).
thf(f27869,plain,
( ~ spl2_271
| spl2_340
| ~ spl2_47
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f25142,f18633,f948,f13491,f11118]) ).
thf(f27872,plain,
( ~ spl2_288
| spl2_542
| ~ spl2_88
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f25530,f24649,f3332,f27675,f11291]) ).
thf(f27882,plain,
( spl2_479
| ~ spl2_370
| ~ spl2_29
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f25531,f24649,f790,f14281,f25207]) ).
thf(f27883,plain,
( spl2_539
| spl2_353
| ~ spl2_479
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f27533,f24670,f25207,f13605,f27557]) ).
thf(f27886,definition,
( spl2_562
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_562])],[avatar_definition]) ).
thf(f27887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_562 ),
inference(avatar_component_clause,[],[f27886]) ).
thf(f27890,definition,
( spl2_563
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_563])],[avatar_definition]) ).
thf(f27891,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl2_563 ),
inference(avatar_component_clause,[],[f27890]) ).
thf(f27894,plain,
( spl2_340
| ~ spl2_43
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f23956,f13560,f924,f13491]) ).
thf(f27897,plain,
( spl2_479
| ~ spl2_428
| ~ spl2_469 ),
inference(avatar_split_clause,[],[f26126,f25034,f22026,f25207]) ).
thf(f27898,plain,
( spl2_291
| ~ spl2_369
| ~ spl2_29
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f25135,f18633,f790,f14271,f11304]) ).
thf(f27901,plain,
( spl2_550
| ~ spl2_288
| ~ spl2_88
| ~ spl2_472 ),
inference(avatar_split_clause,[],[f26727,f25045,f3332,f11291,f27720]) ).
thf(f27902,plain,
( spl2_340
| ~ spl2_370
| ~ spl2_29
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f24058,f11200,f790,f14281,f13491]) ).
thf(f27903,plain,
( spl2_343
| ~ spl2_288
| ~ spl2_88
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f22823,f11200,f3332,f11291,f13503]) ).
thf(f27906,plain,
( spl2_340
| ~ spl2_20
| ~ spl2_29
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f24059,f13560,f790,f262,f13491]) ).
thf(f27907,plain,
( spl2_479
| ~ spl2_271
| ~ spl2_47
| ~ spl2_469 ),
inference(avatar_split_clause,[],[f26112,f25034,f948,f11118,f25207]) ).
thf(f27909,plain,
( ~ spl2_277
| ~ spl2_291
| ~ spl2_17
| ~ spl2_278
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f24028,f11425,f11179,f218,f11304,f11152]) ).
thf(f27911,plain,
( ~ spl2_559
| ~ spl2_274
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f27867,f11179,f11129,f27863]) ).
thf(f27913,definition,
( spl2_564
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_564])],[avatar_definition]) ).
thf(f27914,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_564 ),
inference(avatar_component_clause,[],[f27913]) ).
thf(f27915,plain,
( ~ spl2_564
| spl2_291
| ~ spl2_29
| ~ spl2_469 ),
inference(avatar_split_clause,[],[f26115,f25034,f790,f11304,f27913]) ).
thf(f27927,plain,
( spl2_409
| ~ spl2_284
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f25132,f18633,f11200,f18041]) ).
thf(f27935,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f57,f929]) ).
thf(f27936,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f30,f929]) ).
thf(f27938,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f27936]) ).
thf(f27939,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f27935]) ).
thf(f27940,plain,
( spl2_557
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f27938,f806,f27831]) ).
thf(f27969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f30,f263]) ).
thf(f27973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f27969]) ).
thf(f27977,plain,
( spl2_557
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f27973,f262,f27831]) ).
thf(f28007,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_272 ),
inference(constrained_superposition,[],[f925,f11122]) ).
thf(f28008,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_272 ),
inference(constrained_superposition,[],[f791,f11122]) ).
thf(f28011,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f28007]) ).
thf(f28014,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_29
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f28008]) ).
thf(f28015,plain,
( spl2_291
| ~ spl2_43
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f28011,f11121,f924,f11304]) ).
thf(f28016,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_29
| ~ spl2_272 ),
inference(forward_subsumption_resolution,[],[f28014,f263]) ).
thf(f28017,plain,
( spl2_291
| ~ spl2_20
| ~ spl2_29
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f28016,f11121,f790,f262,f11304]) ).
thf(f28029,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f24,f6046]) ).
thf(f28036,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f28029]) ).
thf(f28049,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_432 ),
inference(constrained_superposition,[],[f22614,f76]) ).
thf(f28052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f28049]) ).
thf(f28055,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_17
| ~ spl2_291 ),
inference(constrained_superposition,[],[f19366,f11305]) ).
thf(f28064,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f24,f11305]) ).
thf(f28067,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f28055]) ).
thf(f28071,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f28064]) ).
thf(f28076,plain,
( spl2_444
| ~ spl2_17
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f28067,f11304,f218,f24566]) ).
thf(f28078,plain,
( spl2_446
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f28071,f11304,f24580]) ).
thf(f28082,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_295
| ~ spl2_388 ),
inference(constrained_superposition,[],[f11418,f14987]) ).
thf(f28084,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_295 ),
inference(constrained_superposition,[],[f11418,f29]) ).
thf(f28085,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_295
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f28082]) ).
thf(f28087,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_295 ),
inference(trivial_inequality_removal,[],[f28084]) ).
thf(f28088,plain,
( $false
| spl2_295
| spl2_312
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f28085,f24987]) ).
thf(f28089,plain,
( spl2_295
| spl2_312
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f28088]) ).
thf(f28091,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_295
| spl2_299 ),
inference(forward_subsumption_resolution,[],[f28087,f24966]) ).
thf(f28092,plain,
( spl2_288
| spl2_295
| spl2_299 ),
inference(avatar_split_clause,[],[f28091,f11349,f11331,f11291]) ).
thf(f28111,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_288 ),
inference(constrained_superposition,[],[f803,f12637]) ).
thf(f28118,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_288 ),
inference(constrained_superposition,[],[f30,f12637]) ).
thf(f28120,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f28111]) ).
thf(f28124,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f28118]) ).
thf(f28128,plain,
( spl2_442
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f28124,f11291,f24552]) ).
thf(f28166,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_43
| ~ spl2_482 ),
inference(constrained_superposition,[],[f925,f25224]) ).
thf(f28167,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29
| ~ spl2_482 ),
inference(constrained_superposition,[],[f791,f25224]) ).
thf(f28168,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_482 ),
inference(constrained_superposition,[],[f22608,f25224]) ).
thf(f28171,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f28168]) ).
thf(f28172,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_43
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f28166]) ).
thf(f28173,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f28167]) ).
thf(f28174,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32
| ~ spl2_88
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f28171,f929]) ).
thf(f28175,plain,
( spl2_479
| ~ spl2_43
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f28172,f25223,f924,f25207]) ).
thf(f28176,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_29
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f28173,f263]) ).
thf(f28177,plain,
( spl2_542
| ~ spl2_32
| ~ spl2_88
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f28174,f25223,f3332,f806,f27675]) ).
thf(f28178,plain,
( spl2_479
| ~ spl2_20
| ~ spl2_29
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f28176,f25223,f790,f262,f25207]) ).
thf(f28198,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f49]) ).
thf(f28200,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_272
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f11122]) ).
thf(f28204,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_272
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f28200]) ).
thf(f28205,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f28198]) ).
thf(f28206,plain,
( spl2_320
| ~ spl2_272
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f28204,f27831,f11121,f12183]) ).
thf(f28216,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f59,f11190]) ).
thf(f28230,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f28216]) ).
thf(f28235,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_340 ),
inference(constrained_superposition,[],[f13767,f51]) ).
thf(f28237,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_340 ),
inference(trivial_inequality_removal,[],[f28235]) ).
thf(f28240,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_299
| spl2_340 ),
inference(forward_subsumption_resolution,[],[f28237,f24966]) ).
thf(f28243,plain,
( spl2_369
| spl2_299
| spl2_340 ),
inference(avatar_split_clause,[],[f28240,f13491,f11349,f14271]) ).
thf(f28293,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_546 ),
inference(constrained_superposition,[],[f27699,f76]) ).
thf(f28295,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_546 ),
inference(trivial_inequality_removal,[],[f28293]) ).
thf(f28352,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| spl2_548 ),
inference(constrained_superposition,[],[f27708,f50]) ).
thf(f28355,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_548 ),
inference(trivial_inequality_removal,[],[f28352]) ).
thf(f28357,plain,
( spl2_493
| spl2_548 ),
inference(avatar_split_clause,[],[f28355,f27707,f25461]) ).
thf(f28359,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_493 ),
inference(constrained_superposition,[],[f949,f25462]) ).
thf(f28368,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f28359]) ).
thf(f28378,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f30,f25453]) ).
thf(f28384,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f28378]) ).
thf(f28386,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_398
| ~ spl2_555 ),
inference(constrained_superposition,[],[f16912,f27860]) ).
thf(f28387,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_437
| ~ spl2_555 ),
inference(constrained_superposition,[],[f23326,f27860]) ).
thf(f28388,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_433
| ~ spl2_555 ),
inference(constrained_superposition,[],[f22951,f27860]) ).
thf(f28390,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_427
| ~ spl2_555 ),
inference(constrained_superposition,[],[f21977,f27860]) ).
thf(f28395,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_555 ),
inference(constrained_superposition,[],[f59,f27860]) ).
thf(f28402,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_427
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f28390]) ).
thf(f28405,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f28395]) ).
thf(f28407,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_437
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f28387]) ).
thf(f28414,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_433
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f28388]) ).
thf(f28415,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_398
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f28386]) ).
thf(f28416,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_342
| ~ spl2_427
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f28402,f13500]) ).
thf(f28417,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_342
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f28405,f13500]) ).
thf(f28427,plain,
( ~ spl2_404
| ~ spl2_342
| ~ spl2_427
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f28416,f27808,f21976,f13499,f17273]) ).
thf(f28428,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_300
| ~ spl2_342
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f28417,f23910]) ).
thf(f28432,plain,
( spl2_359
| spl2_300
| ~ spl2_342
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f28428,f27808,f13499,f11358,f13777]) ).
thf(f28436,plain,
( ~ spl2_343
| ~ spl2_398
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f28415,f27808,f16911,f13503]) ).
thf(f28437,plain,
( ~ spl2_404
| ~ spl2_343
| ~ spl2_433
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f28414,f27808,f22950,f13503,f17273]) ).
thf(f28439,plain,
( spl2_300
| spl2_359
| ~ spl2_342
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f28417,f27808,f13499,f13777,f11358]) ).
thf(f28445,plain,
( ~ spl2_374
| ~ spl2_343
| ~ spl2_437
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f28407,f27808,f23325,f13503,f14537]) ).
thf(f28450,plain,
( spl2_308
| ~ spl2_31
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f28120,f11291,f802,f11425]) ).
thf(f28451,plain,
( ~ spl2_564
| spl2_308
| ~ spl2_47
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f25537,f24649,f948,f11425,f27913]) ).
thf(f28452,plain,
( spl2_479
| ~ spl2_20
| ~ spl2_47
| ~ spl2_493 ),
inference(avatar_split_clause,[],[f28368,f25461,f948,f262,f25207]) ).
thf(f28453,plain,
( spl2_413
| spl2_4
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f27939,f806,f88,f18666]) ).
thf(f28454,plain,
( spl2_88
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f28384,f25452,f3332]) ).
thf(f28455,plain,
( spl2_518
| ~ spl2_4
| ~ spl2_535 ),
inference(avatar_split_clause,[],[f27392,f27166,f88,f26400]) ).
thf(f28517,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_290
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f14034]) ).
thf(f28519,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_290 ),
inference(constrained_superposition,[],[f30,f14034]) ).
thf(f28520,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f28519]) ).
thf(f28522,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_290
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f28517]) ).
thf(f28523,plain,
( spl2_442
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f28520,f11299,f24552]) ).
thf(f28524,plain,
( spl2_317
| ~ spl2_290
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f28522,f27831,f11299,f11672]) ).
thf(f28536,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_66
| ~ spl2_271 ),
inference(constrained_superposition,[],[f1372,f11119]) ).
thf(f28539,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f57,f11119]) ).
thf(f28545,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_66
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f28536]) ).
thf(f28547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f28539]) ).
thf(f28549,plain,
( $false
| ~ spl2_66
| ~ spl2_271
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f28545,f11359]) ).
thf(f28550,plain,
( ~ spl2_66
| ~ spl2_271
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f28549]) ).
thf(f28582,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_308 ),
inference(constrained_superposition,[],[f11426,f51]) ).
thf(f28585,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_308 ),
inference(trivial_inequality_removal,[],[f28582]) ).
thf(f28588,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_287
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f28585,f24521]) ).
thf(f28591,plain,
( spl2_370
| spl2_287
| spl2_308 ),
inference(avatar_split_clause,[],[f28588,f11425,f11234,f14281]) ).
thf(f28611,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f57,f14282]) ).
thf(f28613,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f30,f14282]) ).
thf(f28614,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f28611]) ).
thf(f28618,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f28613]) ).
thf(f28620,plain,
( spl2_442
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f28618,f14281,f24552]) ).
thf(f28621,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_482
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f25224]) ).
thf(f28624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_482
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f28621]) ).
thf(f28627,plain,
( spl2_497
| ~ spl2_482
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f28624,f27831,f25223,f25624]) ).
thf(f28637,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_291 ),
inference(constrained_superposition,[],[f206,f11305]) ).
thf(f28642,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f28637]) ).
thf(f28646,plain,
( $false
| ~ spl2_13
| ~ spl2_274
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f28642,f11310]) ).
thf(f28647,plain,
( ~ spl2_13
| ~ spl2_274
| ~ spl2_291 ),
inference(avatar_contradiction_clause,[],[f28646]) ).
thf(f28661,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_94
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f3358]) ).
thf(f28663,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_94
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f28661]) ).
thf(f28665,plain,
( spl2_413
| ~ spl2_94
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f28663,f27831,f3357,f18666]) ).
thf(f28694,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_19
| ~ spl2_390 ),
inference(constrained_superposition,[],[f1123,f15330]) ).
thf(f28704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_390
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f15330]) ).
thf(f28709,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_390
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f28704]) ).
thf(f28712,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_19
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f28694]) ).
thf(f28717,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_390
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f28709,f40]) ).
thf(f28718,plain,
( $false
| spl2_18
| spl2_19
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f28712,f11045]) ).
thf(f28719,plain,
( spl2_18
| spl2_19
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f28718]) ).
thf(f28722,plain,
( spl2_73
| ~ spl2_390
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f28717,f27831,f15329,f1400]) ).
thf(f28724,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f85,f15165]) ).
thf(f28725,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f1263,f15165]) ).
thf(f28727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f59,f15165]) ).
thf(f28729,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f1304,f15165]) ).
thf(f28736,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f28727]) ).
thf(f28739,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f28724]) ).
thf(f28740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_23 ),
inference(duplicate_literal_removal,[],[f28729]) ).
thf(f28741,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f28740]) ).
thf(f28744,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f28725]) ).
thf(f28746,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f28736,f914]) ).
thf(f28747,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_23
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f28739,f897]) ).
thf(f28748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f28741,f29]) ).
thf(f28750,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f28744,f50]) ).
thf(f28752,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17
| spl2_20
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f28746,f15978]) ).
thf(f28753,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11
| ~ spl2_23
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f28747,f792]) ).
thf(f28754,plain,
( spl2_390
| spl2_391
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f28748,f336,f15332,f15329]) ).
thf(f28756,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f28750,f914]) ).
thf(f28757,plain,
( spl2_15
| ~ spl2_17
| spl2_20
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f28752,f336,f262,f218,f212]) ).
thf(f28758,plain,
( spl2_13
| ~ spl2_11
| ~ spl2_23
| spl2_28 ),
inference(avatar_split_clause,[],[f28753,f784,f336,f198,f205]) ).
thf(f28759,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_17
| spl2_20
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f28756,f15978]) ).
thf(f28760,plain,
( $false
| ~ spl2_17
| spl2_20
| ~ spl2_23
| spl2_39 ),
inference(forward_subsumption_resolution,[],[f28759,f909]) ).
thf(f28761,plain,
( ~ spl2_17
| spl2_20
| ~ spl2_23
| spl2_39 ),
inference(avatar_contradiction_clause,[],[f28760]) ).
thf(f28788,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f160,f13526]) ).
thf(f28794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f28788]) ).
thf(f28797,plain,
( spl2_343
| spl2_395
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f28794,f13525,f15836,f13503]) ).
thf(f28875,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f59,f13492]) ).
thf(f28887,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f28875]) ).
thf(f28893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| spl2_20
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f28887,f15978]) ).
thf(f28936,definition,
( spl2_574
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_574])],[avatar_definition]) ).
thf(f28937,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_574 ),
inference(avatar_component_clause,[],[f28936]) ).
thf(f28983,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_564 ),
inference(constrained_superposition,[],[f27914,f178]) ).
thf(f28986,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_564 ),
inference(trivial_inequality_removal,[],[f28983]) ).
thf(f29041,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_346
| ~ spl2_432 ),
inference(constrained_superposition,[],[f28052,f13526]) ).
thf(f29047,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_346
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f29041]) ).
thf(f29069,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_328 ),
inference(constrained_superposition,[],[f12686,f75]) ).
thf(f29074,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_328
| ~ spl2_555 ),
inference(constrained_superposition,[],[f12686,f27860]) ).
thf(f29079,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f29069]) ).
thf(f29082,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_328
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f29074]) ).
thf(f29084,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_68
| ~ spl2_328 ),
inference(forward_subsumption_resolution,[],[f29079,f6046]) ).
thf(f29085,plain,
( $false
| ~ spl2_328
| ~ spl2_340
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f29082,f13492]) ).
thf(f29086,plain,
( ~ spl2_328
| ~ spl2_340
| ~ spl2_555 ),
inference(avatar_contradiction_clause,[],[f29085]) ).
thf(f29087,plain,
( spl2_425
| ~ spl2_68
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f29084,f12685,f1379,f21306]) ).
thf(f29091,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_359 ),
inference(constrained_superposition,[],[f13778,f75]) ).
thf(f29103,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_359 ),
inference(trivial_inequality_removal,[],[f29091]) ).
thf(f29114,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_431
| ~ spl2_454 ),
inference(constrained_superposition,[],[f22558,f24650]) ).
thf(f29115,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_431
| ~ spl2_472 ),
inference(constrained_superposition,[],[f22558,f25046]) ).
thf(f29119,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_431
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f29115]) ).
thf(f29120,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_431
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f29114]) ).
thf(f29124,plain,
( $false
| ~ spl2_431
| ~ spl2_472
| ~ spl2_518 ),
inference(forward_subsumption_resolution,[],[f29119,f26401]) ).
thf(f29125,plain,
( ~ spl2_431
| ~ spl2_472
| ~ spl2_518 ),
inference(avatar_contradiction_clause,[],[f29124]) ).
thf(f29177,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f76]) ).
thf(f29179,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_370
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f14282]) ).
thf(f29180,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_271
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f11119]) ).
thf(f29183,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_469
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f25035]) ).
thf(f29205,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_370
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f29179]) ).
thf(f29208,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_469
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f29183]) ).
thf(f29210,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f29177]) ).
thf(f29212,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_271
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f29180]) ).
thf(f29215,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_469
| spl2_478
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f29208,f25205]) ).
thf(f29216,plain,
( $false
| ~ spl2_272
| ~ spl2_469
| spl2_478
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f29215,f11122]) ).
thf(f29217,plain,
( ~ spl2_272
| ~ spl2_469
| spl2_478
| ~ spl2_557 ),
inference(avatar_contradiction_clause,[],[f29216]) ).
thf(f29218,plain,
( $false
| ~ spl2_431
| ~ spl2_454
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f25453,f29120]) ).
thf(f29219,plain,
( ~ spl2_431
| ~ spl2_454
| ~ spl2_491 ),
inference(avatar_contradiction_clause,[],[f29218]) ).
thf(f29249,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f160,f11197]) ).
thf(f29250,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_283
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f11197]) ).
thf(f29251,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f57,f11197]) ).
thf(f29254,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f30,f11197]) ).
thf(f29255,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f29249]) ).
thf(f29256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f29251]) ).
thf(f29258,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f29254]) ).
thf(f29259,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_283
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f29250]) ).
thf(f29263,plain,
( spl2_442
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f29258,f11196,f24552]) ).
thf(f29288,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_270
| ~ spl2_466 ),
inference(constrained_superposition,[],[f11108,f25025]) ).
thf(f29299,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_270
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f29288]) ).
thf(f29309,plain,
( spl2_494
| ~ spl2_270
| ~ spl2_466 ),
inference(avatar_split_clause,[],[f29299,f25024,f11107,f25576]) ).
thf(f29357,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_375 ),
inference(constrained_superposition,[],[f14624,f177]) ).
thf(f29366,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_375 ),
inference(trivial_inequality_removal,[],[f29357]) ).
thf(f29390,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_554 ),
inference(constrained_superposition,[],[f27746,f75]) ).
thf(f29399,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f29390]) ).
thf(f29426,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_89
| ~ spl2_340 ),
inference(constrained_superposition,[],[f3337,f13492]) ).
thf(f29433,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_89
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f29426]) ).
thf(f29443,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_452 ),
inference(constrained_superposition,[],[f949,f24643]) ).
thf(f29445,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_452
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f24643]) ).
thf(f29450,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_452
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f29445]) ).
thf(f29451,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f29443]) ).
thf(f29459,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_455 ),
inference(constrained_superposition,[],[f85,f24653]) ).
thf(f29462,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_455 ),
inference(constrained_superposition,[],[f59,f24653]) ).
thf(f29470,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f29459]) ).
thf(f29476,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f29462]) ).
thf(f29486,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_357 ),
inference(constrained_superposition,[],[f13770,f75]) ).
thf(f29495,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_357 ),
inference(trivial_inequality_removal,[],[f29486]) ).
thf(f29528,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_468
| ~ spl2_541 ),
inference(constrained_superposition,[],[f27673,f25032]) ).
thf(f29532,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_468
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f29528]) ).
thf(f29537,plain,
( $false
| ~ spl2_274
| ~ spl2_468
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f29532,f11310]) ).
thf(f29538,plain,
( ~ spl2_274
| ~ spl2_468
| ~ spl2_541 ),
inference(avatar_contradiction_clause,[],[f29537]) ).
thf(f29563,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_28
| ~ spl2_391 ),
inference(constrained_superposition,[],[f897,f15333]) ).
thf(f29564,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_20
| ~ spl2_391 ),
inference(constrained_superposition,[],[f15978,f15333]) ).
thf(f29576,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_20
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f29564]) ).
thf(f29579,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_28
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f29563]) ).
thf(f29586,plain,
( $false
| spl2_20
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f29576,f40]) ).
thf(f29587,plain,
( spl2_20
| ~ spl2_391 ),
inference(avatar_contradiction_clause,[],[f29586]) ).
thf(f29588,plain,
( $false
| spl2_18
| spl2_28
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f29579,f11045]) ).
thf(f29589,plain,
( spl2_18
| spl2_28
| ~ spl2_391 ),
inference(avatar_contradiction_clause,[],[f29588]) ).
thf(f29606,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_118
| ~ spl2_340 ),
inference(constrained_superposition,[],[f6099,f13492]) ).
thf(f29611,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_118
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f29606]) ).
thf(f29656,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_118
| ~ spl2_340
| ~ spl2_342 ),
inference(constrained_superposition,[],[f29611,f13500]) ).
thf(f29661,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_118
| ~ spl2_340
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f29656]) ).
thf(f29667,plain,
( ~ spl2_24
| ~ spl2_118
| ~ spl2_340
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f29661,f13499,f13491,f6098,f340]) ).
thf(f29682,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_357
| ~ spl2_457 ),
inference(constrained_superposition,[],[f13770,f24671]) ).
thf(f29698,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_357
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f29682]) ).
thf(f29708,plain,
( $false
| ~ spl2_357
| ~ spl2_457
| ~ spl2_479 ),
inference(forward_subsumption_resolution,[],[f29698,f25579]) ).
thf(f29709,plain,
( ~ spl2_357
| ~ spl2_457
| ~ spl2_479 ),
inference(avatar_contradiction_clause,[],[f29708]) ).
thf(f29729,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_459
| ~ spl2_541 ),
inference(constrained_superposition,[],[f27673,f24678]) ).
thf(f29730,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_459
| ~ spl2_554 ),
inference(constrained_superposition,[],[f27746,f24678]) ).
thf(f29746,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_459
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f29730]) ).
thf(f29747,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_459
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f29729]) ).
thf(f29757,plain,
( $false
| ~ spl2_342
| ~ spl2_459
| ~ spl2_554 ),
inference(forward_subsumption_resolution,[],[f29746,f13500]) ).
thf(f29758,plain,
( ~ spl2_342
| ~ spl2_459
| ~ spl2_554 ),
inference(avatar_contradiction_clause,[],[f29757]) ).
thf(f29759,plain,
( $false
| ~ spl2_343
| ~ spl2_459
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f29747,f13504]) ).
thf(f29760,plain,
( ~ spl2_343
| ~ spl2_459
| ~ spl2_541 ),
inference(avatar_contradiction_clause,[],[f29759]) ).
thf(f29777,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_470
| ~ spl2_535 ),
inference(constrained_superposition,[],[f27167,f25039]) ).
thf(f29799,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_470
| ~ spl2_535 ),
inference(trivial_inequality_removal,[],[f29777]) ).
thf(f29807,plain,
( $false
| ~ spl2_293
| ~ spl2_470
| ~ spl2_535 ),
inference(forward_subsumption_resolution,[],[f29799,f11317]) ).
thf(f29808,plain,
( ~ spl2_293
| ~ spl2_470
| ~ spl2_535 ),
inference(avatar_contradiction_clause,[],[f29807]) ).
thf(f29845,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_511 ),
inference(constrained_superposition,[],[f26296,f77]) ).
thf(f29850,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_511 ),
inference(trivial_inequality_removal,[],[f29845]) ).
thf(f29854,plain,
( spl2_344
| spl2_529
| spl2_511 ),
inference(avatar_split_clause,[],[f29850,f26295,f26999,f13509]) ).
thf(f30014,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_274
| ~ spl2_444 ),
inference(constrained_superposition,[],[f24567,f11310]) ).
thf(f30022,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_274
| ~ spl2_444 ),
inference(trivial_inequality_removal,[],[f30014]) ).
thf(f30058,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_339 ),
inference(constrained_superposition,[],[f13489,f331]) ).
thf(f30059,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_339
| ~ spl2_424 ),
inference(constrained_superposition,[],[f13489,f21300]) ).
thf(f30063,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_21
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f30058]) ).
thf(f30065,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_339
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f30059]) ).
thf(f30070,plain,
( $false
| ~ spl2_21
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f30063,f331]) ).
thf(f30071,plain,
( ~ spl2_21
| ~ spl2_339 ),
inference(avatar_contradiction_clause,[],[f30070]) ).
thf(f30072,plain,
( $false
| ~ spl2_339
| ~ spl2_423
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f30065,f21289]) ).
thf(f30073,plain,
( ~ spl2_339
| ~ spl2_423
| ~ spl2_424 ),
inference(avatar_contradiction_clause,[],[f30072]) ).
thf(f30076,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_345
| ~ spl2_458 ),
inference(constrained_superposition,[],[f13514,f24674]) ).
thf(f30079,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_345
| ~ spl2_424 ),
inference(constrained_superposition,[],[f13514,f21300]) ).
thf(f30088,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_345
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f30076]) ).
thf(f30089,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_345
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f30079]) ).
thf(f30094,plain,
( $false
| ~ spl2_345
| ~ spl2_452
| ~ spl2_458 ),
inference(forward_subsumption_resolution,[],[f30088,f24643]) ).
thf(f30095,plain,
( ~ spl2_345
| ~ spl2_452
| ~ spl2_458 ),
inference(avatar_contradiction_clause,[],[f30094]) ).
thf(f30096,plain,
( $false
| ~ spl2_288
| ~ spl2_345
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f30089,f12637]) ).
thf(f30097,plain,
( ~ spl2_288
| ~ spl2_345
| ~ spl2_424 ),
inference(avatar_contradiction_clause,[],[f30096]) ).
thf(f30104,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_493
| ~ spl2_494 ),
inference(constrained_superposition,[],[f25577,f25462]) ).
thf(f30105,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_493
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f30104]) ).
thf(f30112,plain,
( $false
| ~ spl2_300
| ~ spl2_493
| ~ spl2_494 ),
inference(forward_subsumption_resolution,[],[f30105,f11359]) ).
thf(f30113,plain,
( ~ spl2_300
| ~ spl2_493
| ~ spl2_494 ),
inference(avatar_contradiction_clause,[],[f30112]) ).
thf(f30116,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_437
| ~ spl2_467 ),
inference(constrained_superposition,[],[f23326,f25028]) ).
thf(f30136,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_437
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f30116]) ).
thf(f30247,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_435
| ~ spl2_555 ),
inference(constrained_superposition,[],[f23154,f27860]) ).
thf(f30248,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_435
| ~ spl2_467 ),
inference(constrained_superposition,[],[f23154,f25028]) ).
thf(f30251,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_435
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f30247]) ).
thf(f30254,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_435
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f30248]) ).
thf(f30279,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_540 ),
inference(constrained_superposition,[],[f27665,f76]) ).
thf(f30280,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_540 ),
inference(constrained_superposition,[],[f27665,f49]) ).
thf(f30282,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_540 ),
inference(trivial_inequality_removal,[],[f30279]) ).
thf(f30286,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_540 ),
inference(trivial_inequality_removal,[],[f30280]) ).
thf(f30492,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_365
| ~ spl2_473 ),
inference(constrained_superposition,[],[f14040,f25049]) ).
thf(f30498,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_365
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f30492]) ).
thf(f30506,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ~ spl2_365
| ~ spl2_473
| ~ spl2_505 ),
inference(forward_subsumption_resolution,[],[f30498,f26240]) ).
thf(f30524,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_365
| ~ spl2_473
| ~ spl2_505 ),
inference(constrained_superposition,[],[f30506,f179]) ).
thf(f30528,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_365
| ~ spl2_473
| ~ spl2_505 ),
inference(trivial_inequality_removal,[],[f30524]) ).
thf(f30532,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_365
| ~ spl2_473
| ~ spl2_505 ),
inference(forward_subsumption_resolution,[],[f30528,f40]) ).
thf(f30534,definition,
( spl2_587
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_587])],[avatar_definition]) ).
thf(f30535,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(avatar_component_clause,[],[f30534]) ).
thf(f30539,plain,
( spl2_587
| ~ spl2_365
| ~ spl2_473
| ~ spl2_505 ),
inference(avatar_split_clause,[],[f30532,f26239,f25048,f14039,f30534]) ).
thf(f30622,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_553 ),
inference(constrained_superposition,[],[f27742,f75]) ).
thf(f30624,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_553 ),
inference(constrained_superposition,[],[f27742,f177]) ).
thf(f30627,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_553 ),
inference(trivial_inequality_removal,[],[f30622]) ).
thf(f30630,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_553 ),
inference(trivial_inequality_removal,[],[f30624]) ).
thf(f30772,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_389
| ~ spl2_479 ),
inference(constrained_superposition,[],[f15001,f25579]) ).
thf(f30774,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_340
| ~ spl2_389 ),
inference(constrained_superposition,[],[f15001,f13492]) ).
thf(f30776,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_340
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f30774]) ).
thf(f30779,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_389
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f30772]) ).
thf(f30785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_389
| ~ spl2_479
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f30779,f27690]) ).
thf(f30787,plain,
( spl2_539
| ~ spl2_389
| ~ spl2_479
| ~ spl2_542 ),
inference(avatar_split_clause,[],[f30785,f27675,f25207,f15000,f27557]) ).
thf(f30821,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_525 ),
inference(constrained_superposition,[],[f26869,f177]) ).
thf(f30829,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_525 ),
inference(trivial_inequality_removal,[],[f30821]) ).
thf(f30882,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_340
| ~ spl2_364 ),
inference(constrained_superposition,[],[f14033,f13492]) ).
thf(f30890,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_340
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f30882]) ).
thf(f30897,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_17
| ~ spl2_340
| ~ spl2_364 ),
inference(forward_subsumption_resolution,[],[f30890,f914]) ).
thf(f30899,plain,
( ~ spl2_400
| ~ spl2_17
| ~ spl2_340
| ~ spl2_364 ),
inference(avatar_split_clause,[],[f30897,f14032,f13491,f218,f17009]) ).
thf(f30900,plain,
( spl2_353
| ~ spl2_11
| ~ spl2_375 ),
inference(avatar_split_clause,[],[f29366,f14623,f198,f13605]) ).
thf(f30902,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_68
| ~ spl2_357 ),
inference(forward_subsumption_resolution,[],[f29495,f6046]) ).
thf(f30907,plain,
( spl2_541
| spl2_423
| ~ spl2_542
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f29470,f24652,f27675,f21288,f27672]) ).
thf(f30908,plain,
( ~ spl2_404
| ~ spl2_342
| ~ spl2_89
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f29433,f13491,f3336,f13499,f17273]) ).
thf(f30910,definition,
( spl2_589
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_589])],[avatar_definition]) ).
thf(f30911,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_589 ),
inference(avatar_component_clause,[],[f30910]) ).
thf(f30912,plain,
( spl2_556
| ~ spl2_589
| ~ spl2_553 ),
inference(avatar_split_clause,[],[f30630,f27741,f30910,f27815]) ).
thf(f30913,plain,
( spl2_90
| spl2_4
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f29210,f27831,f88,f3341]) ).
thf(f30914,plain,
( spl2_339
| spl2_342
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f29256,f11196,f13499,f13488]) ).
thf(f30915,plain,
( spl2_479
| spl2_564 ),
inference(avatar_split_clause,[],[f28986,f27913,f25207]) ).
thf(f30916,plain,
( ~ spl2_548
| ~ spl2_542
| ~ spl2_437
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f30136,f25027,f23325,f27675,f27707]) ).
thf(f30922,plain,
( ~ spl2_404
| spl2_491
| ~ spl2_553 ),
inference(avatar_split_clause,[],[f30627,f27741,f25452,f17273]) ).
thf(f30924,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_313 ),
inference(avatar_component_clause,[],[f11596]) ).
thf(f30931,definition,
( spl2_591
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_591])],[avatar_definition]) ).
thf(f30932,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_591 ),
inference(avatar_component_clause,[],[f30931]) ).
thf(f30934,plain,
( spl2_343
| ~ spl2_346
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f29047,f22613,f13525,f13503]) ).
thf(f30937,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_423 ),
inference(avatar_component_clause,[],[f21288]) ).
thf(f30942,plain,
( spl2_527
| ~ spl2_589
| ~ spl2_525 ),
inference(avatar_split_clause,[],[f30829,f26868,f30910,f26881]) ).
thf(f30943,plain,
( ~ spl2_4
| spl2_424
| ~ spl2_359 ),
inference(avatar_split_clause,[],[f29103,f13777,f21299,f88]) ).
thf(f30944,plain,
( ~ spl2_290
| spl2_342
| ~ spl2_283
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f29259,f27831,f11196,f13499,f11299]) ).
thf(f30945,plain,
( ~ spl2_290
| spl2_478
| ~ spl2_452
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f29450,f27831,f24642,f25204,f11299]) ).
thf(f30946,plain,
( ~ spl2_589
| ~ spl2_343
| ~ spl2_435
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f30251,f27808,f23153,f13503,f30910]) ).
thf(f30953,definition,
( spl2_593
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_593])],[avatar_definition]) ).
thf(f30954,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_593 ),
inference(avatar_component_clause,[],[f30953]) ).
thf(f30955,plain,
( ~ spl2_542
| ~ spl2_593
| ~ spl2_435
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f30254,f25027,f23153,f30953,f27675]) ).
thf(f30956,plain,
( spl2_542
| ~ spl2_423
| ~ spl2_540 ),
inference(avatar_split_clause,[],[f30282,f27664,f21288,f27675]) ).
thf(f30958,plain,
( spl2_491
| ~ spl2_4
| ~ spl2_554 ),
inference(avatar_split_clause,[],[f29399,f27745,f88,f25452]) ).
thf(f30972,plain,
( spl2_542
| spl2_546 ),
inference(avatar_split_clause,[],[f28295,f27698,f27675]) ).
thf(f30973,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_68
| ~ spl2_274
| ~ spl2_444 ),
inference(forward_subsumption_resolution,[],[f30022,f6046]) ).
thf(f30982,plain,
( spl2_345
| spl2_343
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f29255,f11196,f13503,f13513]) ).
thf(f30983,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_370
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f29451,f14282]) ).
thf(f30984,plain,
( spl2_424
| ~ spl2_68
| ~ spl2_357 ),
inference(avatar_split_clause,[],[f30902,f13769,f1379,f21299]) ).
thf(f30991,plain,
( ~ spl2_4
| ~ spl2_68
| ~ spl2_274
| ~ spl2_444 ),
inference(avatar_split_clause,[],[f30973,f24566,f11129,f1379,f88]) ).
thf(f30994,plain,
( spl2_479
| ~ spl2_47
| ~ spl2_370
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f30983,f24642,f14281,f948,f25207]) ).
thf(f30996,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_331 ),
inference(avatar_component_clause,[],[f12698]) ).
thf(f30998,plain,
( ~ spl2_342
| spl2_359
| spl2_20
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f28893,f13491,f262,f13777,f13499]) ).
thf(f31000,plain,
( ~ spl2_331
| spl2_478
| ~ spl2_540 ),
inference(avatar_split_clause,[],[f30286,f27664,f25204,f12698]) ).
thf(f31002,plain,
( ~ spl2_343
| spl2_357
| ~ spl2_340
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f30776,f15000,f13491,f13769,f13503]) ).
thf(f31003,plain,
( spl2_554
| spl2_331
| ~ spl2_478
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f29476,f24652,f25204,f12698,f27745]) ).
thf(f31074,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_347
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f13561]) ).
thf(f31079,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_347
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f31074]) ).
thf(f31082,plain,
( spl2_396
| ~ spl2_347
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f31079,f27831,f13560,f16101]) ).
thf(f31151,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_546 ),
inference(avatar_component_clause,[],[f27698]) ).
thf(f31195,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_375
| ~ spl2_456 ),
inference(constrained_superposition,[],[f14624,f24657]) ).
thf(f31220,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_375
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f31195]) ).
thf(f31222,plain,
( $false
| ~ spl2_274
| ~ spl2_375
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f31220,f11310]) ).
thf(f31223,plain,
( ~ spl2_274
| ~ spl2_375
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f31222]) ).
thf(f31260,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_564 ),
inference(avatar_component_clause,[],[f27913]) ).
thf(f31328,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f195,f11204]) ).
thf(f31339,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f31328]) ).
thf(f31654,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_345
| ~ spl2_353 ),
inference(constrained_superposition,[],[f13514,f13606]) ).
thf(f31656,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_345
| ~ spl2_346 ),
inference(constrained_superposition,[],[f13514,f13526]) ).
thf(f31657,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_345
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f31656]) ).
thf(f31658,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_345
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f31654]) ).
thf(f31660,plain,
( $false
| ~ spl2_290
| ~ spl2_345
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f31657,f14034]) ).
thf(f31661,plain,
( ~ spl2_290
| ~ spl2_345
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f31660]) ).
thf(f31662,plain,
( $false
| ~ spl2_345
| ~ spl2_353
| ~ spl2_370 ),
inference(forward_subsumption_resolution,[],[f31658,f14282]) ).
thf(f31663,plain,
( ~ spl2_345
| ~ spl2_353
| ~ spl2_370 ),
inference(avatar_contradiction_clause,[],[f31662]) ).
thf(f31726,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_483 ),
inference(constrained_superposition,[],[f25227,f75]) ).
thf(f31733,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_483 ),
inference(trivial_inequality_removal,[],[f31726]) ).
thf(f31782,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f20190,f75]) ).
thf(f31784,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f20190,f177]) ).
thf(f31786,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_285
| ~ spl2_293 ),
inference(constrained_superposition,[],[f20190,f11204]) ).
thf(f31789,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_281
| ~ spl2_293 ),
inference(constrained_superposition,[],[f20190,f11190]) ).
thf(f31790,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_285
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f31786]) ).
thf(f31795,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_281
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f31789]) ).
thf(f31797,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f31784]) ).
thf(f31799,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f31782]) ).
thf(f31812,plain,
( spl2_423
| spl2_406
| ~ spl2_4
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f31799,f11316,f88,f17374,f21288]) ).
thf(f31820,plain,
( spl2_351
| ~ spl2_342
| ~ spl2_285
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f31790,f11316,f11203,f13499,f13578]) ).
thf(f31821,plain,
( spl2_313
| spl2_357
| ~ spl2_340
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f31339,f11203,f13491,f13769,f11596]) ).
thf(f31869,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_432 ),
inference(constrained_superposition,[],[f22614,f76]) ).
thf(f31876,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f31869]) ).
thf(f31895,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_367
| ~ spl2_423 ),
inference(constrained_superposition,[],[f14238,f21289]) ).
thf(f31906,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_367
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f31895]) ).
thf(f32020,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68
| ~ spl2_340 ),
inference(constrained_superposition,[],[f28036,f13492]) ).
thf(f32043,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_68
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f32020]) ).
thf(f32049,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68
| ~ spl2_340
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f32043,f13504]) ).
thf(f32053,plain,
( spl2_375
| ~ spl2_68
| ~ spl2_340
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f32049,f13503,f13491,f1379,f14623]) ).
thf(f32111,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_589 ),
inference(constrained_superposition,[],[f30911,f177]) ).
thf(f32113,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_589 ),
inference(constrained_superposition,[],[f30911,f51]) ).
thf(f32115,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_589 ),
inference(trivial_inequality_removal,[],[f32113]) ).
thf(f32116,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_589 ),
inference(trivial_inequality_removal,[],[f32111]) ).
thf(f32121,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_591 ),
inference(constrained_superposition,[],[f30932,f29]) ).
thf(f32124,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_591 ),
inference(trivial_inequality_removal,[],[f32121]) ).
thf(f32146,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_68
| ~ spl2_479 ),
inference(constrained_superposition,[],[f28036,f25579]) ).
thf(f32164,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f32146]) ).
thf(f32174,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_68
| ~ spl2_479
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f32164,f27690]) ).
thf(f32179,plain,
( spl2_541
| ~ spl2_68
| ~ spl2_479
| ~ spl2_542 ),
inference(avatar_split_clause,[],[f32174,f27675,f25207,f1379,f27672]) ).
thf(f32186,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_556 ),
inference(constrained_superposition,[],[f30,f27816]) ).
thf(f32191,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f32186]) ).
thf(f32203,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| spl2_593 ),
inference(constrained_superposition,[],[f30954,f177]) ).
thf(f32207,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_593 ),
inference(trivial_inequality_removal,[],[f32203]) ).
thf(f32288,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f76]) ).
thf(f32295,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f32288]) ).
thf(f32333,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_469 ),
inference(constrained_superposition,[],[f30,f25035]) ).
thf(f32339,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f32333]) ).
thf(f32402,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_554 ),
inference(constrained_superposition,[],[f27746,f177]) ).
thf(f32408,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f32402]) ).
thf(f32437,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f30,f30535]) ).
thf(f32445,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f32437]) ).
thf(f32468,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_541 ),
inference(constrained_superposition,[],[f27673,f177]) ).
thf(f32476,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f32468]) ).
thf(f32478,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_452
| ~ spl2_498 ),
inference(constrained_superposition,[],[f25647,f24643]) ).
thf(f32484,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_452
| ~ spl2_498 ),
inference(trivial_inequality_removal,[],[f32478]) ).
thf(f32489,plain,
( $false
| ~ spl2_288
| ~ spl2_452
| ~ spl2_498 ),
inference(forward_subsumption_resolution,[],[f32484,f12637]) ).
thf(f32490,plain,
( ~ spl2_288
| ~ spl2_452
| ~ spl2_498 ),
inference(avatar_contradiction_clause,[],[f32489]) ).
thf(f32544,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_429
| ~ spl2_460 ),
inference(constrained_superposition,[],[f22033,f24681]) ).
thf(f32546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_460 ),
inference(constrained_superposition,[],[f30,f24681]) ).
thf(f32550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32546]) ).
thf(f32551,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_429
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32544]) ).
thf(f32574,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_539 ),
inference(constrained_superposition,[],[f27558,f50]) ).
thf(f32576,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_539 ),
inference(constrained_superposition,[],[f27558,f75]) ).
thf(f32581,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f32576]) ).
thf(f32584,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f32574]) ).
thf(f32654,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_283 ),
inference(constrained_superposition,[],[f3346,f11197]) ).
thf(f32682,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_91
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f32654]) ).
thf(f32709,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_283 ),
inference(constrained_superposition,[],[f32295,f11197]) ).
thf(f32729,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f32709]) ).
thf(f32948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_412
| ~ spl2_460 ),
inference(constrained_superposition,[],[f32550,f18634]) ).
thf(f32949,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_283
| ~ spl2_460 ),
inference(constrained_superposition,[],[f32550,f11197]) ).
thf(f32952,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_353
| ~ spl2_460 ),
inference(constrained_superposition,[],[f32550,f13606]) ).
thf(f32953,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_424
| ~ spl2_460 ),
inference(constrained_superposition,[],[f32550,f21300]) ).
thf(f32955,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_346
| ~ spl2_460 ),
inference(constrained_superposition,[],[f32550,f13526]) ).
thf(f32957,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_353
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32952]) ).
thf(f32958,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32955]) ).
thf(f32960,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32948]) ).
thf(f32961,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_283
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32949]) ).
thf(f32963,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_424
| ~ spl2_460 ),
inference(trivial_inequality_removal,[],[f32953]) ).
thf(f32965,plain,
( spl2_361
| ~ spl2_353
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f32957,f24680,f13605,f13857]) ).
thf(f32966,plain,
( spl2_396
| ~ spl2_346
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f32958,f24680,f13525,f16101]) ).
thf(f32968,plain,
( spl2_409
| ~ spl2_412
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f32960,f24680,f18633,f18041]) ).
thf(f32969,plain,
( spl2_339
| ~ spl2_283
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f32961,f24680,f11196,f13488]) ).
thf(f32970,plain,
( spl2_426
| ~ spl2_424
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f32963,f24680,f21299,f21519]) ).
thf(f32979,plain,
( spl2_60
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f32191,f27815,f1129]) ).
thf(f32980,plain,
( spl2_353
| spl2_589 ),
inference(avatar_split_clause,[],[f32116,f30910,f13605]) ).
thf(f32986,plain,
( ~ spl2_564
| ~ spl2_429
| ~ spl2_460 ),
inference(avatar_split_clause,[],[f32551,f24680,f22032,f27913]) ).
thf(f32987,plain,
( ~ spl2_28
| ~ spl2_367
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f31906,f21288,f14237,f784]) ).
thf(f32989,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_299
| spl2_589 ),
inference(forward_subsumption_resolution,[],[f32115,f24966]) ).
thf(f32994,plain,
( spl2_353
| spl2_299
| spl2_589 ),
inference(avatar_split_clause,[],[f32989,f30910,f11349,f13605]) ).
thf(f32996,plain,
( ~ spl2_288
| spl2_343
| ~ spl2_91
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f32682,f11196,f3345,f13503,f11291]) ).
thf(f32998,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_541 ),
inference(forward_subsumption_resolution,[],[f32476,f792]) ).
thf(f32999,plain,
( spl2_333
| spl2_17
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f28547,f11118,f218,f12858]) ).
thf(f33007,plain,
( ~ spl2_17
| spl2_556
| ~ spl2_554 ),
inference(avatar_split_clause,[],[f32408,f27745,f27815,f218]) ).
thf(f33016,plain,
( spl2_17
| ~ spl2_272
| ~ spl2_271
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f29212,f27831,f11118,f11121,f218]) ).
thf(f33017,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281
| spl2_331 ),
inference(forward_subsumption_resolution,[],[f28230,f30996]) ).
thf(f33022,plain,
( ~ spl2_17
| spl2_313
| spl2_307
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f31797,f11316,f11422,f11596,f218]) ).
thf(f33024,plain,
( spl2_306
| ~ spl2_277
| ~ spl2_281
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f31795,f11316,f11189,f11152,f11416]) ).
thf(f33025,plain,
( spl2_295
| ~ spl2_355
| ~ spl2_88
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f32729,f11196,f3332,f13619,f11331]) ).
thf(f33028,plain,
( spl2_556
| spl2_593 ),
inference(avatar_split_clause,[],[f32207,f30953,f27815]) ).
thf(f33031,plain,
( spl2_556
| ~ spl2_11
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f32998,f27672,f198,f27815]) ).
thf(f33035,plain,
( spl2_330
| ~ spl2_277
| ~ spl2_281
| spl2_331 ),
inference(avatar_split_clause,[],[f33017,f12698,f11189,f11152,f12695]) ).
thf(f33045,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_39
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f3950]) ).
thf(f33048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f33045]) ).
thf(f33052,plain,
( spl2_73
| ~ spl2_39
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f33048,f27831,f908,f1400]) ).
thf(f33059,plain,
( ( $true != $true )
| ~ spl2_61
| spl2_331 ),
inference(constrained_superposition,[],[f30996,f1133]) ).
thf(f33060,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_61
| ~ spl2_432 ),
inference(constrained_superposition,[],[f31876,f1133]) ).
thf(f33064,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_61
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f1133]) ).
thf(f33080,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_61
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f33064]) ).
thf(f33082,plain,
( $false
| ~ spl2_61
| spl2_331 ),
inference(trivial_inequality_removal,[],[f33059]) ).
thf(f33083,plain,
( ~ spl2_61
| spl2_331 ),
inference(avatar_contradiction_clause,[],[f33082]) ).
thf(f33084,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_61
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f33060]) ).
thf(f33095,plain,
( spl2_318
| ~ spl2_61
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f33080,f24552,f1132,f11676]) ).
thf(f33096,plain,
( spl2_110
| ~ spl2_61
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f33084,f22613,f1132,f4035]) ).
thf(f33156,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f24,f11332]) ).
thf(f33163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f33156]) ).
thf(f33165,plain,
( spl2_563
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f33163,f11331,f27890]) ).
thf(f33167,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_298
| ~ spl2_320 ),
inference(constrained_superposition,[],[f12184,f11347]) ).
thf(f33181,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_298
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f33167]) ).
thf(f33186,plain,
( $false
| ~ spl2_39
| ~ spl2_298
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f33181,f3950]) ).
thf(f33187,plain,
( ~ spl2_39
| ~ spl2_298
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f33186]) ).
thf(f33188,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_277
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f28230,f11297]) ).
thf(f33190,plain,
( spl2_330
| spl2_331
| ~ spl2_277
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f33188,f11189,f11152,f12698,f12695]) ).
thf(f33240,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_432 ),
inference(constrained_superposition,[],[f22614,f13620]) ).
thf(f33241,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_355
| ~ spl2_413 ),
inference(constrained_superposition,[],[f18667,f13620]) ).
thf(f33248,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_355
| ~ spl2_413 ),
inference(trivial_inequality_removal,[],[f33241]) ).
thf(f33249,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f33240]) ).
thf(f33300,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_330
| ~ spl2_467 ),
inference(constrained_superposition,[],[f12696,f25028]) ).
thf(f33303,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_330
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f33300]) ).
thf(f33309,plain,
( $false
| ~ spl2_330
| ~ spl2_467
| ~ spl2_478 ),
inference(forward_subsumption_resolution,[],[f33303,f25233]) ).
thf(f33310,plain,
( ~ spl2_330
| ~ spl2_467
| ~ spl2_478 ),
inference(avatar_contradiction_clause,[],[f33309]) ).
thf(f33315,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_319 ),
inference(constrained_superposition,[],[f12179,f11183]) ).
thf(f33320,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f11183]) ).
thf(f33324,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_279
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f33320]) ).
thf(f33326,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_279
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f33315]) ).
thf(f33334,plain,
( $false
| ~ spl2_279
| ~ spl2_319
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f33326,f12699]) ).
thf(f33335,plain,
( ~ spl2_279
| ~ spl2_319
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f33334]) ).
thf(f33402,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f1263,f24657]) ).
thf(f33404,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f59,f24657]) ).
thf(f33411,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f33404]) ).
thf(f33418,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f33402]) ).
thf(f33422,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_413
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f33418,f33248]) ).
thf(f33424,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_277
| ~ spl2_355
| ~ spl2_413
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f33422,f11297]) ).
thf(f33425,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_277
| ~ spl2_355
| ~ spl2_413
| ~ spl2_432
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f33424,f33249]) ).
thf(f33426,plain,
( ~ spl2_316
| ~ spl2_277
| ~ spl2_355
| ~ spl2_413
| ~ spl2_432
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f33425,f24656,f22613,f18666,f13619,f11152,f11616]) ).
thf(f33427,plain,
( spl2_367
| spl2_17
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f28614,f14281,f218,f14237]) ).
thf(f33430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_355
| ~ spl2_432
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f33411,f33249]) ).
thf(f33434,plain,
( ~ spl2_24
| spl2_493
| ~ spl2_539 ),
inference(avatar_split_clause,[],[f32584,f27557,f25461,f340]) ).
thf(f33435,plain,
( spl2_502
| spl2_491
| spl2_591 ),
inference(avatar_split_clause,[],[f32124,f30931,f25452,f25936]) ).
thf(f33437,plain,
( spl2_491
| ~ spl2_68
| ~ spl2_539 ),
inference(avatar_split_clause,[],[f32581,f27557,f1379,f25452]) ).
thf(f33438,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_277
| ~ spl2_355
| ~ spl2_432
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f33430,f11297]) ).
thf(f33439,plain,
( spl2_330
| ~ spl2_277
| ~ spl2_355
| ~ spl2_432
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f33438,f24656,f22613,f13619,f11152,f12695]) ).
thf(f33440,plain,
( spl2_17
| ~ spl2_290
| ~ spl2_370
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f29205,f27831,f14281,f11299,f218]) ).
thf(f33442,plain,
( spl2_270
| ~ spl2_469 ),
inference(avatar_split_clause,[],[f32339,f25034,f11107]) ).
thf(f33444,plain,
( spl2_270
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f32445,f30534,f11107]) ).
thf(f33448,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_347 ),
inference(avatar_component_clause,[],[f13560]) ).
thf(f33451,plain,
( ~ spl2_290
| spl2_277
| ~ spl2_279
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f33324,f27831,f11182,f11152,f11299]) ).
thf(f33454,plain,
( ~ spl2_4
| spl2_491
| ~ spl2_295
| ~ spl2_483 ),
inference(avatar_split_clause,[],[f31733,f25226,f11331,f25452,f88]) ).
thf(f33479,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_104
| ~ spl2_274 ),
inference(constrained_superposition,[],[f3435,f11310]) ).
thf(f33482,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_104
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f33479]) ).
thf(f33484,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_104
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f33482,f40]) ).
thf(f33485,plain,
( spl2_272
| ~ spl2_104
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f33484,f11129,f3434,f11121]) ).
thf(f33583,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291
| ~ spl2_389 ),
inference(constrained_superposition,[],[f15001,f11305]) ).
thf(f33601,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f33583]) ).
thf(f33605,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_274
| ~ spl2_291
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f33601,f11310]) ).
thf(f33607,plain,
( spl2_328
| ~ spl2_274
| ~ spl2_291
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f33605,f15000,f11304,f11129,f12685]) ).
thf(f33683,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f24,f11679]) ).
thf(f33687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f33683]) ).
thf(f33694,plain,
( spl2_562
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f33687,f11425,f27886]) ).
thf(f33903,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_66
| ~ spl2_369 ),
inference(constrained_superposition,[],[f1372,f14272]) ).
thf(f33907,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_66
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f33903]) ).
thf(f33910,plain,
( $false
| ~ spl2_66
| ~ spl2_346
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f33907,f13526]) ).
thf(f33911,plain,
( ~ spl2_66
| ~ spl2_346
| ~ spl2_369 ),
inference(avatar_contradiction_clause,[],[f33910]) ).
thf(f33915,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_295 ),
inference(constrained_superposition,[],[f95,f11332]) ).
thf(f33928,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_6
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f33915]) ).
thf(f33933,plain,
( $false
| ~ spl2_6
| ~ spl2_293
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f33928,f11317]) ).
thf(f33934,plain,
( ~ spl2_6
| ~ spl2_293
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f33933]) ).
thf(f34002,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11673,f11187]) ).
thf(f34004,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_280
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f34002]) ).
thf(f34006,plain,
( $false
| ~ spl2_272
| ~ spl2_280
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f34004,f11122]) ).
thf(f34007,plain,
( ~ spl2_272
| ~ spl2_280
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f34006]) ).
thf(f34058,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_556
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f27816]) ).
thf(f34064,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_556
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f34058]) ).
thf(f34068,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_478
| ~ spl2_556
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f34064,f25205]) ).
thf(f34069,plain,
( $false
| ~ spl2_39
| spl2_478
| ~ spl2_556
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f34068,f3950]) ).
thf(f34070,plain,
( ~ spl2_39
| spl2_478
| ~ spl2_556
| ~ spl2_557 ),
inference(avatar_contradiction_clause,[],[f34069]) ).
thf(f34101,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_353
| ~ spl2_395 ),
inference(constrained_superposition,[],[f15837,f13606]) ).
thf(f34104,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_353
| ~ spl2_395 ),
inference(trivial_inequality_removal,[],[f34101]) ).
thf(f34105,plain,
( $false
| ~ spl2_20
| ~ spl2_353
| ~ spl2_395 ),
inference(forward_subsumption_resolution,[],[f34104,f263]) ).
thf(f34106,plain,
( ~ spl2_20
| ~ spl2_353
| ~ spl2_395 ),
inference(avatar_contradiction_clause,[],[f34105]) ).
thf(f34107,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_353
| ~ spl2_396 ),
inference(constrained_superposition,[],[f16102,f13606]) ).
thf(f34109,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_353
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f34107]) ).
thf(f34111,plain,
( $false
| ~ spl2_39
| ~ spl2_353
| ~ spl2_396 ),
inference(forward_subsumption_resolution,[],[f34109,f3950]) ).
thf(f34112,plain,
( ~ spl2_39
| ~ spl2_353
| ~ spl2_396 ),
inference(avatar_contradiction_clause,[],[f34111]) ).
thf(f34154,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_320
| ~ spl2_466 ),
inference(constrained_superposition,[],[f12184,f25025]) ).
thf(f34157,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_466
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f25025]) ).
thf(f34160,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_466
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f34157]) ).
thf(f34161,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_320
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f34154]) ).
thf(f34167,plain,
( $false
| ~ spl2_320
| ~ spl2_466
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f34161,f25224]) ).
thf(f34168,plain,
( ~ spl2_320
| ~ spl2_466
| ~ spl2_482 ),
inference(avatar_contradiction_clause,[],[f34167]) ).
thf(f34172,plain,
( spl2_277
| ~ spl2_482
| ~ spl2_466
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f34160,f27831,f25024,f25223,f11152]) ).
thf(f34233,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f57,f21307]) ).
thf(f34237,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f34233]) ).
thf(f34248,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_432 ),
inference(constrained_superposition,[],[f22614,f76]) ).
thf(f34252,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f34248]) ).
thf(f34490,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_468 ),
inference(constrained_superposition,[],[f195,f25032]) ).
thf(f34494,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_468 ),
inference(constrained_superposition,[],[f59,f25032]) ).
thf(f34500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f34490]) ).
thf(f34504,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f34494]) ).
thf(f34547,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_283
| ~ spl2_426 ),
inference(constrained_superposition,[],[f21520,f11197]) ).
thf(f34550,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_283
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f34547]) ).
thf(f34551,plain,
( $false
| ~ spl2_283
| ~ spl2_288
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f34550,f12637]) ).
thf(f34552,plain,
( ~ spl2_283
| ~ spl2_288
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f34551]) ).
thf(f34563,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_291 ),
inference(constrained_superposition,[],[f1502,f11305]) ).
thf(f34564,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_308 ),
inference(constrained_superposition,[],[f1502,f11679]) ).
thf(f34566,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f34563]) ).
thf(f34570,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_77
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f34564]) ).
thf(f34593,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_442
| ~ spl2_454 ),
inference(constrained_superposition,[],[f24553,f24650]) ).
thf(f34599,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_442
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f34593]) ).
thf(f34607,plain,
( spl2_540
| ~ spl2_442
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f34599,f24649,f24552,f27664]) ).
thf(f34628,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_283
| ~ spl2_292 ),
inference(constrained_superposition,[],[f11309,f11197]) ).
thf(f34629,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_292
| ~ spl2_452 ),
inference(constrained_superposition,[],[f11309,f24643]) ).
thf(f34638,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_292
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f34629]) ).
thf(f34640,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_283
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f34628]) ).
thf(f34643,plain,
( $false
| ~ spl2_292
| ~ spl2_452
| ~ spl2_466 ),
inference(forward_subsumption_resolution,[],[f34638,f25025]) ).
thf(f34644,plain,
( ~ spl2_292
| ~ spl2_452
| ~ spl2_466 ),
inference(avatar_contradiction_clause,[],[f34643]) ).
thf(f34647,plain,
( $false
| ~ spl2_283
| ~ spl2_292
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f34640,f18005]) ).
thf(f34648,plain,
( ~ spl2_283
| ~ spl2_292
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f34647]) ).
thf(f34654,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11417,f75]) ).
thf(f34662,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f34654]) ).
thf(f34667,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f34662,f30937]) ).
thf(f34668,plain,
( ~ spl2_415
| ~ spl2_306
| spl2_423 ),
inference(avatar_split_clause,[],[f34667,f21288,f11416,f19104]) ).
thf(f34713,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_382
| ~ spl2_456 ),
inference(constrained_superposition,[],[f14961,f24657]) ).
thf(f34731,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_382
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f34713]) ).
thf(f34735,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_343
| ~ spl2_382
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f34731,f13504]) ).
thf(f34738,plain,
( $false
| ~ spl2_342
| ~ spl2_343
| ~ spl2_382
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f34735,f13500]) ).
thf(f34739,plain,
( ~ spl2_342
| ~ spl2_343
| ~ spl2_382
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f34738]) ).
thf(f34740,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_361
| ~ spl2_458 ),
inference(constrained_superposition,[],[f13858,f24674]) ).
thf(f34750,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_361
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f34740]) ).
thf(f34753,plain,
( $false
| ~ spl2_361
| ~ spl2_458
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f34750,f31260]) ).
thf(f34754,plain,
( ~ spl2_361
| ~ spl2_458
| ~ spl2_564 ),
inference(avatar_contradiction_clause,[],[f34753]) ).
thf(f34756,plain,
( spl2_334
| spl2_277
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f34237,f21306,f11152,f13049]) ).
thf(f34762,definition,
( spl2_600
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_600])],[avatar_definition]) ).
thf(f34763,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_600 ),
inference(avatar_component_clause,[],[f34762]) ).
thf(f34766,definition,
( spl2_601
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_601])],[avatar_definition]) ).
thf(f34767,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_601 ),
inference(avatar_component_clause,[],[f34766]) ).
thf(f34770,plain,
( ~ spl2_274
| ~ spl2_316
| ~ spl2_77
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f34566,f11304,f1501,f11616,f11129]) ).
thf(f34771,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_291
| ~ spl2_468 ),
inference(forward_subsumption_resolution,[],[f34500,f11305]) ).
thf(f34773,definition,
( spl2_602
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_602])],[avatar_definition]) ).
thf(f34774,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_602 ),
inference(avatar_component_clause,[],[f34773]) ).
thf(f34777,definition,
( spl2_603
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_603])],[avatar_definition]) ).
thf(f34778,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_603 ),
inference(avatar_component_clause,[],[f34777]) ).
thf(f34781,plain,
( ~ spl2_295
| ~ spl2_302
| ~ spl2_77
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f34570,f11425,f1501,f11400,f11331]) ).
thf(f34782,plain,
( ~ spl2_277
| spl2_493
| spl2_330
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f34504,f25031,f12695,f25461,f11152]) ).
thf(f34786,plain,
( spl2_328
| spl2_556
| ~ spl2_291
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f34771,f25031,f11304,f27815,f12685]) ).
thf(f34824,plain,
( $false
| ~ spl2_164
| spl2_274 ),
inference(forward_subsumption_resolution,[],[f11130,f7831]) ).
thf(f34825,plain,
( ~ spl2_164
| spl2_274 ),
inference(avatar_contradiction_clause,[],[f34824]) ).
thf(f34849,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f57,f11488]) ).
thf(f34855,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f34849]) ).
thf(f34857,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_4
| ~ spl2_296 ),
inference(forward_subsumption_resolution,[],[f34855,f89]) ).
thf(f34858,plain,
( spl2_334
| spl2_4
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f34857,f11334,f88,f13049]) ).
thf(f34924,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_346
| ~ spl2_361 ),
inference(constrained_superposition,[],[f13858,f13526]) ).
thf(f34930,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_346
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f34924]) ).
thf(f34937,plain,
( $false
| ~ spl2_20
| ~ spl2_346
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f34930,f263]) ).
thf(f34938,plain,
( ~ spl2_20
| ~ spl2_346
| ~ spl2_361 ),
inference(avatar_contradiction_clause,[],[f34937]) ).
thf(f34943,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_410 ),
inference(constrained_superposition,[],[f18061,f29]) ).
thf(f34945,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_410 ),
inference(trivial_inequality_removal,[],[f34943]) ).
thf(f34948,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_299
| spl2_410 ),
inference(forward_subsumption_resolution,[],[f34945,f24966]) ).
thf(f34949,plain,
( spl2_423
| spl2_299
| spl2_410 ),
inference(avatar_split_clause,[],[f34948,f18060,f11349,f21288]) ).
thf(f35010,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f1263,f11180]) ).
thf(f35012,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f59,f11180]) ).
thf(f35019,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f35012]) ).
thf(f35024,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f35010]) ).
thf(f35028,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_278
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f35019,f23910]) ).
thf(f35038,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f57,f11187]) ).
thf(f35043,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f35038]) ).
thf(f35056,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_334
| ~ spl2_466 ),
inference(constrained_superposition,[],[f13050,f25025]) ).
thf(f35063,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_334
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f35056]) ).
thf(f35090,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_466
| ~ spl2_603 ),
inference(constrained_superposition,[],[f34778,f25025]) ).
thf(f35096,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_466
| ~ spl2_603 ),
inference(trivial_inequality_removal,[],[f35090]) ).
thf(f35098,plain,
( $false
| ~ spl2_466
| ~ spl2_491
| ~ spl2_603 ),
inference(forward_subsumption_resolution,[],[f35096,f25453]) ).
thf(f35099,plain,
( ~ spl2_466
| ~ spl2_491
| ~ spl2_603 ),
inference(avatar_contradiction_clause,[],[f35098]) ).
thf(f35100,plain,
( ~ spl2_546
| ~ spl2_334
| ~ spl2_466 ),
inference(avatar_split_clause,[],[f35063,f25024,f13049,f27698]) ).
thf(f35101,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_278
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f35024,f23910]) ).
thf(f35107,plain,
( spl2_303
| ~ spl2_293
| ~ spl2_278
| spl2_300 ),
inference(avatar_split_clause,[],[f35028,f11358,f11179,f11316,f11404]) ).
thf(f35109,plain,
( spl2_293
| spl2_294
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f35043,f11186,f11327,f11316]) ).
thf(f35111,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_272
| ~ spl2_278
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f35101,f11314]) ).
thf(f35114,plain,
( ~ spl2_302
| ~ spl2_293
| spl2_272
| ~ spl2_278
| spl2_300 ),
inference(avatar_split_clause,[],[f35111,f11358,f11179,f11121,f11316,f11400]) ).
thf(f35151,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_344
| spl2_467 ),
inference(constrained_superposition,[],[f25213,f13510]) ).
thf(f35161,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f75,f13510]) ).
thf(f35165,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f85,f13510]) ).
thf(f35167,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f177,f13510]) ).
thf(f35174,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_344
| ~ spl2_432 ),
inference(constrained_superposition,[],[f34252,f13510]) ).
thf(f35201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_344 ),
inference(duplicate_literal_removal,[],[f35165]) ).
thf(f35206,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_25
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f35201,f385]) ).
thf(f35207,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_7
| ~ spl2_344
| ~ spl2_432 ),
inference(forward_subsumption_resolution,[],[f35174,f113]) ).
thf(f35211,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_7
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f35161,f113]) ).
thf(f35214,plain,
( ~ spl2_309
| ~ spl2_344
| spl2_467 ),
inference(avatar_split_clause,[],[f35151,f25027,f13509,f11430]) ).
thf(f35215,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_23
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f35167,f337]) ).
thf(f35219,plain,
( spl2_117
| spl2_25
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f35206,f13509,f384,f6088]) ).
thf(f35220,plain,
( $false
| spl2_7
| ~ spl2_32
| ~ spl2_344
| ~ spl2_432 ),
inference(forward_subsumption_resolution,[],[f35207,f929]) ).
thf(f35221,plain,
( spl2_7
| ~ spl2_32
| ~ spl2_344
| ~ spl2_432 ),
inference(avatar_contradiction_clause,[],[f35220]) ).
thf(f35224,plain,
( $false
| spl2_7
| spl2_25
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f35211,f385]) ).
thf(f35225,plain,
( spl2_7
| spl2_25
| ~ spl2_344 ),
inference(avatar_contradiction_clause,[],[f35224]) ).
thf(f35229,plain,
( $false
| spl2_23
| spl2_80
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f35215,f1636]) ).
thf(f35230,plain,
( spl2_23
| spl2_80
| ~ spl2_344 ),
inference(avatar_contradiction_clause,[],[f35229]) ).
thf(f35390,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_603 ),
inference(constrained_superposition,[],[f34778,f11183]) ).
thf(f35396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f30,f11183]) ).
thf(f35399,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_279
| ~ spl2_603 ),
inference(trivial_inequality_removal,[],[f35390]) ).
thf(f35400,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f35396]) ).
thf(f35406,plain,
( spl2_442
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f35400,f11182,f24552]) ).
thf(f35410,plain,
( ~ spl2_423
| ~ spl2_279
| ~ spl2_603 ),
inference(avatar_split_clause,[],[f35399,f34777,f11182,f21288]) ).
thf(f35478,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f85,f24657]) ).
thf(f35479,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f1263,f24657]) ).
thf(f35481,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f59,f24657]) ).
thf(f35486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f24,f24657]) ).
thf(f35487,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f35479]) ).
thf(f35490,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f35478]) ).
thf(f35491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f35486]) ).
thf(f35495,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f35481]) ).
thf(f35567,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_82
| spl2_300 ),
inference(constrained_superposition,[],[f23910,f2376]) ).
thf(f35568,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_82
| spl2_331 ),
inference(constrained_superposition,[],[f30996,f2376]) ).
thf(f35589,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_331 ),
inference(trivial_inequality_removal,[],[f35568]) ).
thf(f35590,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_300 ),
inference(trivial_inequality_removal,[],[f35567]) ).
thf(f35600,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_331 ),
inference(forward_subsumption_resolution,[],[f35589,f40]) ).
thf(f35601,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f35590,f40]) ).
thf(f35609,plain,
( $false
| ~ spl2_82
| spl2_312
| spl2_331 ),
inference(forward_subsumption_resolution,[],[f35600,f24987]) ).
thf(f35610,plain,
( ~ spl2_82
| spl2_312
| spl2_331 ),
inference(avatar_contradiction_clause,[],[f35609]) ).
thf(f35611,plain,
( $false
| ~ spl2_82
| spl2_289
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f35601,f24508]) ).
thf(f35612,plain,
( ~ spl2_82
| spl2_289
| spl2_300 ),
inference(avatar_contradiction_clause,[],[f35611]) ).
thf(f35618,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_332 ),
inference(constrained_superposition,[],[f12851,f11183]) ).
thf(f35621,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_279
| ~ spl2_332 ),
inference(trivial_inequality_removal,[],[f35618]) ).
thf(f35628,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_414 ),
inference(constrained_superposition,[],[f18671,f11187]) ).
thf(f35631,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_280
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f35628]) ).
thf(f35632,plain,
( $false
| ~ spl2_280
| ~ spl2_296
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f35631,f11488]) ).
thf(f35633,plain,
( ~ spl2_280
| ~ spl2_296
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f35632]) ).
thf(f35634,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_280
| ~ spl2_431 ),
inference(constrained_superposition,[],[f22558,f11187]) ).
thf(f35637,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_280
| ~ spl2_431 ),
inference(trivial_inequality_removal,[],[f35634]) ).
thf(f35638,plain,
( $false
| ~ spl2_280
| ~ spl2_425
| ~ spl2_431 ),
inference(forward_subsumption_resolution,[],[f35637,f21307]) ).
thf(f35639,plain,
( ~ spl2_280
| ~ spl2_425
| ~ spl2_431 ),
inference(avatar_contradiction_clause,[],[f35638]) ).
thf(f35654,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f752,f11201]) ).
thf(f35655,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f160,f11201]) ).
thf(f35656,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_284
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f11201]) ).
thf(f35657,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f57,f11201]) ).
thf(f35659,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f35654]) ).
thf(f35661,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f35657]) ).
thf(f35662,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f35655]) ).
thf(f35663,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_284
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f35656]) ).
thf(f35669,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_467 ),
inference(constrained_superposition,[],[f59,f25028]) ).
thf(f35675,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f35669]) ).
thf(f35685,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true ) )
| spl2_300
| ~ spl2_467 ),
inference(forward_subsumption_resolution,[],[f35675,f23910]) ).
thf(f35689,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_300
| ~ spl2_467
| ~ spl2_478 ),
inference(forward_subsumption_resolution,[],[f35685,f25233]) ).
thf(f35692,plain,
( spl2_554
| spl2_300
| ~ spl2_467
| ~ spl2_478 ),
inference(avatar_split_clause,[],[f35689,f25204,f25027,f11358,f27745]) ).
thf(f35695,plain,
( spl2_398
| ~ spl2_274
| spl2_424
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f35490,f24656,f21299,f11129,f16911]) ).
thf(f35697,plain,
( spl2_339
| spl2_293
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f35661,f11200,f11316,f13488]) ).
thf(f35698,plain,
( ~ spl2_313
| ~ spl2_279
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f35621,f12850,f11182,f11596]) ).
thf(f35702,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_284
| ~ spl2_347
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f35663,f13561]) ).
thf(f35705,plain,
( spl2_293
| ~ spl2_284
| ~ spl2_347
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f35702,f27831,f13560,f11200,f11316]) ).
thf(f35706,plain,
( spl2_295
| spl2_356
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f35662,f11200,f13719,f11331]) ).
thf(f35713,plain,
( spl2_339
| spl2_308
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f35659,f11200,f11425,f13488]) ).
thf(f35753,plain,
( ( $true != $true )
| ~ spl2_124
| spl2_342 ),
inference(constrained_superposition,[],[f13575,f6161]) ).
thf(f35754,plain,
( ( $true != $true )
| spl2_17
| ~ spl2_124 ),
inference(constrained_superposition,[],[f219,f6161]) ).
thf(f35761,plain,
( $false
| spl2_17
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f35754]) ).
thf(f35762,plain,
( spl2_17
| ~ spl2_124 ),
inference(avatar_contradiction_clause,[],[f35761]) ).
thf(f35767,plain,
( $false
| ~ spl2_124
| spl2_342 ),
inference(trivial_inequality_removal,[],[f35753]) ).
thf(f35768,plain,
( ~ spl2_124
| spl2_342 ),
inference(avatar_contradiction_clause,[],[f35767]) ).
thf(f35781,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f57,f247]) ).
thf(f35783,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f35781]) ).
thf(f35788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1234,f6046]) ).
thf(f35798,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f35788]) ).
thf(f35859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f160,f11347]) ).
thf(f35860,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_298
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f11347]) ).
thf(f35864,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_298
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f35860]) ).
thf(f35867,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f35859]) ).
thf(f35960,definition,
( spl2_604
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_604])],[avatar_definition]) ).
thf(f35961,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_604 ),
inference(avatar_component_clause,[],[f35960]) ).
thf(f35964,plain,
( spl2_330
| ~ spl2_277
| spl2_346
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f35495,f24656,f13525,f11152,f12695]) ).
thf(f35965,plain,
( ~ spl2_39
| spl2_277
| ~ spl2_298
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f35864,f27831,f11346,f11152,f908]) ).
thf(f35968,plain,
( spl2_39
| spl2_89
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f35798,f1379,f3336,f908]) ).
thf(f35971,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1304,f914]) ).
thf(f35974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f24,f914]) ).
thf(f35976,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f35974]) ).
thf(f35978,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f35971]) ).
thf(f35981,plain,
( spl2_63
| spl2_62
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f35978,f218,f1356,f1359]) ).
thf(f36062,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_313 ),
inference(constrained_superposition,[],[f57,f11597]) ).
thf(f36066,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f36062]) ).
thf(f36069,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_293
| ~ spl2_313 ),
inference(forward_subsumption_resolution,[],[f36066,f11398]) ).
thf(f36071,plain,
( spl2_367
| spl2_293
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f36069,f11596,f11316,f14237]) ).
thf(f36095,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f1234,f11180]) ).
thf(f36101,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f24,f11180]) ).
thf(f36107,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f36101]) ).
thf(f36110,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f36095]) ).
thf(f36122,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f24,f11190]) ).
thf(f36124,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f36122]) ).
thf(f36134,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_13
| ~ spl2_340 ),
inference(constrained_superposition,[],[f206,f13492]) ).
thf(f36148,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_13
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f36134]) ).
thf(f36154,plain,
( $false
| ~ spl2_13
| ~ spl2_340
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f36148,f13504]) ).
thf(f36155,plain,
( ~ spl2_13
| ~ spl2_340
| ~ spl2_343 ),
inference(avatar_contradiction_clause,[],[f36154]) ).
thf(f36244,definition,
( spl2_605
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_605])],[avatar_definition]) ).
thf(f36245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_605 ),
inference(avatar_component_clause,[],[f36244]) ).
thf(f36315,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f85,f11204]) ).
thf(f36328,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f36315]) ).
thf(f36335,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_285
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f36328,f30937]) ).
thf(f36338,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_333
| ~ spl2_466 ),
inference(constrained_superposition,[],[f12859,f25025]) ).
thf(f36340,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_332
| ~ spl2_466 ),
inference(constrained_superposition,[],[f12851,f25025]) ).
thf(f36348,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_332
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f36340]) ).
thf(f36353,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_333
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f36338]) ).
thf(f36355,plain,
( $false
| ~ spl2_332
| ~ spl2_466
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f36348,f27816]) ).
thf(f36356,plain,
( ~ spl2_332
| ~ spl2_466
| ~ spl2_556 ),
inference(avatar_contradiction_clause,[],[f36355]) ).
thf(f36358,plain,
( $false
| ~ spl2_333
| ~ spl2_466
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f36353,f31260]) ).
thf(f36359,plain,
( ~ spl2_333
| ~ spl2_466
| ~ spl2_564 ),
inference(avatar_contradiction_clause,[],[f36358]) ).
thf(f36587,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f11309,f49]) ).
thf(f36591,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f36587]) ).
thf(f36598,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_292
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f36591,f11359]) ).
thf(f36599,plain,
( $false
| ~ spl2_292
| spl2_293
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f36598,f11398]) ).
thf(f36600,plain,
( ~ spl2_292
| spl2_293
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f36599]) ).
thf(f36603,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_331
| ~ spl2_335 ),
inference(constrained_superposition,[],[f13162,f12699]) ).
thf(f36604,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_331
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f36603]) ).
thf(f36607,plain,
( $false
| ~ spl2_272
| ~ spl2_331
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f36604,f11122]) ).
thf(f36608,plain,
( ~ spl2_272
| ~ spl2_331
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f36607]) ).
thf(f36684,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_459 ),
inference(constrained_superposition,[],[f85,f24678]) ).
thf(f36699,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_459 ),
inference(trivial_inequality_removal,[],[f36684]) ).
thf(f36750,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_602 ),
inference(constrained_superposition,[],[f34774,f178]) ).
thf(f36753,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_602 ),
inference(constrained_superposition,[],[f34774,f49]) ).
thf(f36755,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_602 ),
inference(trivial_inequality_removal,[],[f36753]) ).
thf(f36758,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_602 ),
inference(trivial_inequality_removal,[],[f36750]) ).
thf(f36761,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_300
| ~ spl2_602 ),
inference(forward_subsumption_resolution,[],[f36755,f11359]) ).
thf(f36764,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_340
| ~ spl2_602 ),
inference(forward_subsumption_resolution,[],[f36758,f13767]) ).
thf(f36767,plain,
( $false
| ~ spl2_300
| spl2_342
| ~ spl2_602 ),
inference(forward_subsumption_resolution,[],[f36761,f13575]) ).
thf(f36768,plain,
( ~ spl2_300
| spl2_342
| ~ spl2_602 ),
inference(avatar_contradiction_clause,[],[f36767]) ).
thf(f36769,plain,
( $false
| ~ spl2_298
| spl2_340
| ~ spl2_602 ),
inference(forward_subsumption_resolution,[],[f36764,f11347]) ).
thf(f36770,plain,
( ~ spl2_298
| spl2_340
| ~ spl2_602 ),
inference(avatar_contradiction_clause,[],[f36769]) ).
thf(f36810,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_405
| ~ spl2_467 ),
inference(constrained_superposition,[],[f17369,f25028]) ).
thf(f36820,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_405
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f36810]) ).
thf(f36821,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_405
| ~ spl2_467
| ~ spl2_478 ),
inference(forward_subsumption_resolution,[],[f36820,f25233]) ).
thf(f36822,plain,
( ~ spl2_593
| ~ spl2_405
| ~ spl2_467
| ~ spl2_478 ),
inference(avatar_split_clause,[],[f36821,f25204,f25027,f17368,f30953]) ).
thf(f36888,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_351 ),
inference(constrained_superposition,[],[f13579,f75]) ).
thf(f36892,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_351
| ~ spl2_456 ),
inference(constrained_superposition,[],[f13579,f24657]) ).
thf(f36899,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f36888]) ).
thf(f36902,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_351
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f36892]) ).
thf(f36909,plain,
( spl2_424
| ~ spl2_410
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f36899,f13578,f18060,f21299]) ).
thf(f36910,plain,
( $false
| ~ spl2_281
| ~ spl2_351
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f36902,f11190]) ).
thf(f36911,plain,
( ~ spl2_281
| ~ spl2_351
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f36910]) ).
thf(f36923,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_600 ),
inference(constrained_superposition,[],[f34763,f178]) ).
thf(f36930,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_600 ),
inference(trivial_inequality_removal,[],[f36923]) ).
thf(f36936,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_479
| ~ spl2_600 ),
inference(forward_subsumption_resolution,[],[f36930,f25208]) ).
thf(f36938,plain,
( $false
| ~ spl2_298
| spl2_479
| ~ spl2_600 ),
inference(forward_subsumption_resolution,[],[f36936,f11347]) ).
thf(f36939,plain,
( ~ spl2_298
| spl2_479
| ~ spl2_600 ),
inference(avatar_contradiction_clause,[],[f36938]) ).
thf(f36999,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f35976,f50]) ).
thf(f37002,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f35976,f75]) ).
thf(f37009,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f36999]) ).
thf(f37012,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f37002]) ).
thf(f37014,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_544
| ~ spl2_556 ),
inference(constrained_superposition,[],[f27687,f27816]) ).
thf(f37016,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_493
| ~ spl2_544 ),
inference(constrained_superposition,[],[f27687,f25462]) ).
thf(f37018,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_544
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f37014]) ).
thf(f37019,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_493
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f37016]) ).
thf(f37020,plain,
( $false
| ~ spl2_353
| ~ spl2_544
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f37018,f13606]) ).
thf(f37021,plain,
( ~ spl2_353
| ~ spl2_544
| ~ spl2_556 ),
inference(avatar_contradiction_clause,[],[f37020]) ).
thf(f37022,plain,
( $false
| ~ spl2_346
| ~ spl2_493
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f37019,f13526]) ).
thf(f37023,plain,
( ~ spl2_346
| ~ spl2_493
| ~ spl2_544 ),
inference(avatar_contradiction_clause,[],[f37022]) ).
thf(f37106,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_457
| ~ spl2_574 ),
inference(constrained_superposition,[],[f28937,f24671]) ).
thf(f37108,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_457
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f37106]) ).
thf(f37119,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_457
| ~ spl2_468
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f37108,f25032]) ).
thf(f37121,plain,
( $false
| ~ spl2_457
| ~ spl2_468
| ~ spl2_478
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f37119,f25233]) ).
thf(f37122,plain,
( ~ spl2_457
| ~ spl2_468
| ~ spl2_478
| ~ spl2_574 ),
inference(avatar_contradiction_clause,[],[f37121]) ).
thf(f37273,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_555
| ~ spl2_601 ),
inference(constrained_superposition,[],[f34767,f27860]) ).
thf(f37279,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_555
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f37273]) ).
thf(f37285,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_343
| ~ spl2_555
| ~ spl2_601 ),
inference(forward_subsumption_resolution,[],[f37279,f13504]) ).
thf(f37286,plain,
( spl2_463
| ~ spl2_343
| ~ spl2_555
| ~ spl2_601 ),
inference(avatar_split_clause,[],[f37285,f34766,f27808,f13503,f24727]) ).
thf(f37377,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_446 ),
inference(constrained_superposition,[],[f24581,f75]) ).
thf(f37381,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_278
| ~ spl2_446 ),
inference(constrained_superposition,[],[f24581,f11180]) ).
thf(f37389,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_446 ),
inference(trivial_inequality_removal,[],[f37377]) ).
thf(f37390,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_446 ),
inference(trivial_inequality_removal,[],[f37381]) ).
thf(f37394,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_68
| ~ spl2_446 ),
inference(forward_subsumption_resolution,[],[f37389,f6046]) ).
thf(f37395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_278
| ~ spl2_308
| ~ spl2_446 ),
inference(forward_subsumption_resolution,[],[f37390,f11679]) ).
thf(f37396,plain,
( spl2_398
| spl2_425
| ~ spl2_68
| ~ spl2_446 ),
inference(avatar_split_clause,[],[f37394,f24580,f1379,f21306,f16911]) ).
thf(f37397,plain,
( spl2_306
| ~ spl2_278
| ~ spl2_308
| ~ spl2_446 ),
inference(avatar_split_clause,[],[f37395,f24580,f11425,f11179,f11416]) ).
thf(f37557,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_563 ),
inference(constrained_superposition,[],[f27891,f75]) ).
thf(f37565,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_563 ),
inference(trivial_inequality_removal,[],[f37557]) ).
thf(f37576,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_423
| ~ spl2_563 ),
inference(forward_subsumption_resolution,[],[f37565,f30937]) ).
thf(f37585,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_285
| spl2_423
| ~ spl2_563 ),
inference(constrained_superposition,[],[f37576,f11204]) ).
thf(f37594,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_285
| spl2_423
| ~ spl2_563 ),
inference(trivial_inequality_removal,[],[f37585]) ).
thf(f37600,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_285
| ~ spl2_343
| spl2_423
| ~ spl2_563 ),
inference(forward_subsumption_resolution,[],[f37594,f13504]) ).
thf(f37601,plain,
( ~ spl2_404
| ~ spl2_285
| ~ spl2_343
| spl2_423
| ~ spl2_563 ),
inference(avatar_split_clause,[],[f37600,f27890,f21288,f13503,f11203,f17273]) ).
thf(f37605,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f36124,f75]) ).
thf(f37610,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_281
| ~ spl2_285 ),
inference(constrained_superposition,[],[f36124,f11204]) ).
thf(f37611,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_281
| ~ spl2_455 ),
inference(constrained_superposition,[],[f36124,f24653]) ).
thf(f37616,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f37605]) ).
thf(f37619,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_281
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f37610]) ).
thf(f37621,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_281
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f37611]) ).
thf(f37625,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_281
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f37616,f30937]) ).
thf(f37630,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_281
| ~ spl2_285
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f37619,f27860]) ).
thf(f37631,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_281
| ~ spl2_455
| ~ spl2_467 ),
inference(forward_subsumption_resolution,[],[f37621,f25028]) ).
thf(f37632,plain,
( ~ spl2_415
| spl2_398
| ~ spl2_281
| spl2_423 ),
inference(avatar_split_clause,[],[f37625,f21288,f11189,f16911,f19104]) ).
thf(f37633,plain,
( spl2_463
| ~ spl2_281
| ~ spl2_285
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f37630,f27808,f11203,f11189,f24727]) ).
thf(f37634,plain,
( spl2_492
| ~ spl2_281
| ~ spl2_455
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f37631,f25027,f24652,f11189,f25457]) ).
thf(f37639,plain,
( spl2_272
| spl2_301
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f36110,f11179,f11394,f11121]) ).
thf(f37651,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f24,f11297]) ).
thf(f37657,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f37651]) ).
thf(f37672,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_318 ),
inference(constrained_superposition,[],[f11677,f11187]) ).
thf(f37683,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_280
| ~ spl2_318 ),
inference(trivial_inequality_removal,[],[f37672]) ).
thf(f37697,plain,
( ~ spl2_300
| ~ spl2_280
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f37683,f11676,f11186,f11358]) ).
thf(f37704,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_438 ),
inference(constrained_superposition,[],[f23333,f75]) ).
thf(f37706,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_438 ),
inference(constrained_superposition,[],[f23333,f177]) ).
thf(f37713,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_438 ),
inference(trivial_inequality_removal,[],[f37704]) ).
thf(f37718,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_438 ),
inference(trivial_inequality_removal,[],[f37706]) ).
thf(f37852,plain,
( ~ spl2_343
| spl2_375
| ~ spl2_285
| spl2_423 ),
inference(avatar_split_clause,[],[f36335,f21288,f11203,f14623,f13503]) ).
thf(f37853,plain,
( ~ spl2_343
| spl2_491
| spl2_375
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f36699,f24677,f14623,f25452,f13503]) ).
thf(f37869,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29
| ~ spl2_355 ),
inference(constrained_superposition,[],[f791,f13620]) ).
thf(f37874,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_29
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f37869]) ).
thf(f37891,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f37657,f75]) ).
thf(f37893,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f37657,f177]) ).
thf(f37905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f37891]) ).
thf(f37906,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f37893]) ).
thf(f37911,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_562 ),
inference(constrained_superposition,[],[f27887,f75]) ).
thf(f37913,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_562 ),
inference(constrained_superposition,[],[f27887,f177]) ).
thf(f37919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f37911]) ).
thf(f37924,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f37913]) ).
thf(f37928,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_423
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f37919,f30937]) ).
thf(f37929,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_313
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f37924,f30924]) ).
thf(f37952,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_423
| ~ spl2_562 ),
inference(constrained_superposition,[],[f37928,f50]) ).
thf(f37964,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_423
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f37952]) ).
thf(f37978,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_4
| spl2_423
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f37964,f3339]) ).
thf(f37979,plain,
( ~ spl2_24
| spl2_331
| ~ spl2_4
| spl2_423
| ~ spl2_562 ),
inference(avatar_split_clause,[],[f37978,f27886,f21288,f88,f12698,f340]) ).
thf(f38008,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_313
| ~ spl2_562 ),
inference(constrained_superposition,[],[f37929,f50]) ).
thf(f38023,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_313
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f38008]) ).
thf(f38094,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f36107,f75]) ).
thf(f38098,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_278
| ~ spl2_285 ),
inference(constrained_superposition,[],[f36107,f11204]) ).
thf(f38102,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f38094]) ).
thf(f38108,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_278
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f38098]) ).
thf(f38111,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_278
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f38102,f30937]) ).
thf(f38113,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_278
| ~ spl2_285
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f38108,f27860]) ).
thf(f38115,plain,
( ~ spl2_415
| spl2_406
| ~ spl2_278
| spl2_423 ),
inference(avatar_split_clause,[],[f38111,f21288,f11179,f17374,f19104]) ).
thf(f38116,plain,
( spl2_351
| ~ spl2_278
| ~ spl2_285
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f38113,f27808,f11203,f11179,f13578]) ).
thf(f38120,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_279
| ~ spl2_320 ),
inference(constrained_superposition,[],[f12184,f11183]) ).
thf(f38130,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_279
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f38120]) ).
thf(f38140,plain,
( $false
| ~ spl2_279
| ~ spl2_290
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f38130,f14034]) ).
thf(f38141,plain,
( ~ spl2_279
| ~ spl2_290
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f38140]) ).
thf(f38165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f35491,f50]) ).
thf(f38167,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f35491,f75]) ).
thf(f38172,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_282
| ~ spl2_456 ),
inference(constrained_superposition,[],[f35491,f11194]) ).
thf(f38173,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_456
| ~ spl2_457 ),
inference(constrained_superposition,[],[f35491,f24671]) ).
thf(f38175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_456
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f38173]) ).
thf(f38178,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f38165]) ).
thf(f38182,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_282
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f38172]) ).
thf(f38186,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f38167]) ).
thf(f38187,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_456
| ~ spl2_457
| ~ spl2_467 ),
inference(forward_subsumption_resolution,[],[f38175,f25028]) ).
thf(f38188,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_278 ),
inference(avatar_component_clause,[],[f11179]) ).
thf(f38189,plain,
( ~ spl2_278
| spl2_306
| ~ spl2_282
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f38182,f24656,f11193,f11416,f11179]) ).
thf(f38191,plain,
( spl2_398
| spl2_424
| ~ spl2_415
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f38186,f24656,f19104,f21299,f16911]) ).
thf(f38192,plain,
( spl2_492
| ~ spl2_456
| ~ spl2_457
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f38187,f25027,f24670,f24656,f25457]) ).
thf(f38198,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_29
| spl2_340
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f37874,f13767]) ).
thf(f38202,plain,
( spl2_78
| spl2_4
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f35783,f246,f88,f1505]) ).
thf(f38208,plain,
( ~ spl2_316
| spl2_330
| spl2_346
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f38178,f24656,f13525,f12695,f11616]) ).
thf(f38209,plain,
( spl2_427
| spl2_425
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f37905,f11152,f21306,f21976]) ).
thf(f38212,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_277
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f35487,f11297]) ).
thf(f38214,plain,
( spl2_332
| spl2_274
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f35867,f11346,f11129,f12850]) ).
thf(f38222,plain,
( ~ spl2_28
| ~ spl2_29
| spl2_340
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f38198,f13619,f13491,f790,f784]) ).
thf(f38223,plain,
( spl2_346
| ~ spl2_316
| spl2_347
| ~ spl2_277
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f38212,f24656,f11152,f13560,f11616,f13525]) ).
thf(f38308,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_415 ),
inference(constrained_superposition,[],[f19105,f29]) ).
thf(f38309,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_415 ),
inference(trivial_inequality_removal,[],[f38308]) ).
thf(f38312,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_287
| spl2_415 ),
inference(forward_subsumption_resolution,[],[f38309,f24521]) ).
thf(f38314,plain,
( spl2_425
| spl2_287
| spl2_415 ),
inference(avatar_split_clause,[],[f38312,f19104,f11234,f21306]) ).
thf(f38316,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_425 ),
inference(constrained_superposition,[],[f949,f21307]) ).
thf(f38322,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f38316]) ).
thf(f38327,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28
| ~ spl2_47
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f38322,f785]) ).
thf(f38329,plain,
( spl2_291
| ~ spl2_28
| ~ spl2_47
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f38327,f21306,f948,f784,f11304]) ).
thf(f38480,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f85,f11190]) ).
thf(f38490,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f38480]) ).
thf(f38502,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f38490,f30937]) ).
thf(f38505,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_281
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f38502,f4036]) ).
thf(f38507,plain,
( spl2_398
| ~ spl2_110
| ~ spl2_281
| spl2_423 ),
inference(avatar_split_clause,[],[f38505,f21288,f11189,f4035,f16911]) ).
thf(f38513,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_491
| ~ spl2_605 ),
inference(constrained_superposition,[],[f36245,f25453]) ).
thf(f38526,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_491
| ~ spl2_605 ),
inference(trivial_inequality_removal,[],[f38513]) ).
thf(f38529,plain,
( $false
| ~ spl2_28
| ~ spl2_491
| ~ spl2_605 ),
inference(forward_subsumption_resolution,[],[f38526,f785]) ).
thf(f38530,plain,
( ~ spl2_28
| ~ spl2_491
| ~ spl2_605 ),
inference(avatar_contradiction_clause,[],[f38529]) ).
thf(f38620,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_89
| ~ spl2_479 ),
inference(constrained_superposition,[],[f3337,f25579]) ).
thf(f38643,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_89
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f38620]) ).
thf(f38761,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f752,f11197]) ).
thf(f38762,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_47
| ~ spl2_283 ),
inference(constrained_superposition,[],[f949,f11197]) ).
thf(f38763,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f160,f11197]) ).
thf(f38766,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_283 ),
inference(constrained_superposition,[],[f791,f11197]) ).
thf(f38769,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_29
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f38766]) ).
thf(f38771,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f38763]) ).
thf(f38773,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f38762]) ).
thf(f38775,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f38761]) ).
thf(f38846,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_340
| ~ spl2_408 ),
inference(constrained_superposition,[],[f13767,f18009]) ).
thf(f38951,plain,
( $false
| ~ spl2_291
| spl2_340
| ~ spl2_408 ),
inference(forward_subsumption_resolution,[],[f38846,f11305]) ).
thf(f38952,plain,
( ~ spl2_291
| spl2_340
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f38951]) ).
thf(f39055,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_468
| ~ spl2_554 ),
inference(constrained_superposition,[],[f27746,f25032]) ).
thf(f39060,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_468
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f39055]) ).
thf(f39064,plain,
( $false
| ~ spl2_277
| ~ spl2_468
| ~ spl2_554 ),
inference(forward_subsumption_resolution,[],[f39060,f11297]) ).
thf(f39065,plain,
( ~ spl2_277
| ~ spl2_468
| ~ spl2_554 ),
inference(avatar_contradiction_clause,[],[f39064]) ).
thf(f39066,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_17
| spl2_313
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f38023,f914]) ).
thf(f39068,plain,
( ~ spl2_478
| ~ spl2_591
| ~ spl2_89
| ~ spl2_479 ),
inference(avatar_split_clause,[],[f38643,f25207,f3336,f30931,f25204]) ).
thf(f39070,plain,
( ~ spl2_24
| spl2_331
| ~ spl2_17
| spl2_313
| ~ spl2_562 ),
inference(avatar_split_clause,[],[f39066,f27886,f11596,f218,f12698,f340]) ).
thf(f39101,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_90
| ~ spl2_482 ),
inference(constrained_superposition,[],[f3342,f25224]) ).
thf(f39105,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_90
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f39101]) ).
thf(f39123,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_284
| ~ spl2_367 ),
inference(constrained_superposition,[],[f14238,f11201]) ).
thf(f39128,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_284
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f39123]) ).
thf(f39129,plain,
( $false
| ~ spl2_284
| ~ spl2_367
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f39128,f14272]) ).
thf(f39130,plain,
( ~ spl2_284
| ~ spl2_367
| ~ spl2_369 ),
inference(avatar_contradiction_clause,[],[f39129]) ).
thf(f39131,plain,
( ~ spl2_369
| spl2_308
| ~ spl2_29
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f38769,f11196,f790,f11425,f14271]) ).
thf(f39134,plain,
( spl2_343
| spl2_345
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f38771,f11196,f13513,f13503]) ).
thf(f39139,plain,
( spl2_339
| spl2_340
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f38775,f11196,f13491,f13488]) ).
thf(f39140,plain,
( spl2_542
| ~ spl2_90
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f39105,f25223,f3341,f27675]) ).
thf(f39141,plain,
( spl2_340
| ~ spl2_370
| ~ spl2_47
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f38773,f11196,f948,f14281,f13491]) ).
thf(f39144,plain,
( ( $true != $true )
| ~ spl2_124
| spl2_293 ),
inference(constrained_superposition,[],[f11398,f6161]) ).
thf(f39145,plain,
( ( $true != $true )
| ~ spl2_124
| spl2_478 ),
inference(constrained_superposition,[],[f25205,f6161]) ).
thf(f39158,plain,
( $false
| ~ spl2_124
| spl2_478 ),
inference(trivial_inequality_removal,[],[f39145]) ).
thf(f39159,plain,
( ~ spl2_124
| spl2_478 ),
inference(avatar_contradiction_clause,[],[f39158]) ).
thf(f39163,plain,
( $false
| ~ spl2_124
| spl2_293 ),
inference(trivial_inequality_removal,[],[f39144]) ).
thf(f39164,plain,
( ~ spl2_124
| spl2_293 ),
inference(avatar_contradiction_clause,[],[f39163]) ).
thf(f39181,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f24,f11310]) ).
thf(f39182,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f39181]) ).
thf(f39190,plain,
( spl2_601
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f39182,f11129,f34766]) ).
thf(f39214,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f160,f13526]) ).
thf(f39223,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f39214]) ).
thf(f39226,plain,
( spl2_343
| spl2_395
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f39223,f13525,f15836,f13503]) ).
thf(f39237,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_291 ),
inference(constrained_superposition,[],[f213,f11305]) ).
thf(f39240,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f39237]) ).
thf(f39245,plain,
( $false
| ~ spl2_15
| ~ spl2_277
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f39240,f11297]) ).
thf(f39246,plain,
( ~ spl2_15
| ~ spl2_277
| ~ spl2_291 ),
inference(avatar_contradiction_clause,[],[f39245]) ).
thf(f39301,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_404 ),
inference(constrained_superposition,[],[f17274,f29]) ).
thf(f39304,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_404 ),
inference(trivial_inequality_removal,[],[f39301]) ).
thf(f39306,plain,
( spl2_344
| spl2_424
| spl2_404 ),
inference(avatar_split_clause,[],[f39304,f17273,f21299,f13509]) ).
thf(f39308,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_424 ),
inference(constrained_superposition,[],[f949,f21300]) ).
thf(f39317,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_47
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f39308]) ).
thf(f39320,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_28
| ~ spl2_47
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f39317,f785]) ).
thf(f39321,plain,
( spl2_340
| ~ spl2_28
| ~ spl2_47
| ~ spl2_424 ),
inference(avatar_split_clause,[],[f39320,f21299,f948,f784,f13491]) ).
thf(f39329,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f752,f11187]) ).
thf(f39336,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f39329]) ).
thf(f39426,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_330
| ~ spl2_555 ),
inference(constrained_superposition,[],[f12696,f27860]) ).
thf(f39453,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_330
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f39426]) ).
thf(f39456,plain,
( $false
| ~ spl2_330
| ~ spl2_342
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f39453,f13500]) ).
thf(f39457,plain,
( ~ spl2_330
| ~ spl2_342
| ~ spl2_555 ),
inference(avatar_contradiction_clause,[],[f39456]) ).
thf(f39459,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_17
| ~ spl2_438 ),
inference(forward_subsumption_resolution,[],[f37718,f914]) ).
thf(f39463,plain,
( spl2_405
| spl2_298
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f37906,f11152,f11346,f17368]) ).
thf(f39464,plain,
( ~ spl2_24
| spl2_298
| ~ spl2_17
| ~ spl2_438 ),
inference(avatar_split_clause,[],[f39459,f23332,f218,f11346,f340]) ).
thf(f39487,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_279
| ~ spl2_289 ),
inference(constrained_superposition,[],[f11183,f11295]) ).
thf(f39495,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_289
| spl2_293 ),
inference(constrained_superposition,[],[f11398,f11295]) ).
thf(f39497,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_289
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11673,f11295]) ).
thf(f39499,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_289
| ~ spl2_342 ),
inference(constrained_superposition,[],[f13500,f11295]) ).
thf(f39504,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_289
| ~ spl2_442 ),
inference(constrained_superposition,[],[f24553,f11295]) ).
thf(f39506,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_289
| spl2_312 ),
inference(constrained_superposition,[],[f24987,f11295]) ).
thf(f39531,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f752,f11295]) ).
thf(f39575,plain,
( $false
| ~ spl2_289
| spl2_293
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f39499,f11398]) ).
thf(f39576,plain,
( ~ spl2_289
| spl2_293
| ~ spl2_342 ),
inference(avatar_contradiction_clause,[],[f39575]) ).
thf(f39579,plain,
( spl2_271
| ~ spl2_279
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f39487,f11294,f11182,f11118]) ).
thf(f39580,plain,
( $false
| ~ spl2_277
| ~ spl2_289
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f39495,f11297]) ).
thf(f39581,plain,
( ~ spl2_277
| ~ spl2_289
| spl2_293 ),
inference(avatar_contradiction_clause,[],[f39580]) ).
thf(f39583,plain,
( spl2_270
| ~ spl2_289
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f39504,f24552,f11294,f11107]) ).
thf(f39587,plain,
( $false
| ~ spl2_289
| spl2_312 ),
inference(forward_subsumption_resolution,[],[f39506,f11295]) ).
thf(f39588,plain,
( ~ spl2_289
| spl2_312 ),
inference(avatar_contradiction_clause,[],[f39587]) ).
thf(f39593,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f39531,f334]) ).
thf(f39594,plain,
( spl2_320
| ~ spl2_289
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f39497,f11672,f11294,f12183]) ).
thf(f39604,plain,
( spl2_60
| ~ spl2_22
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f39593,f11294,f333,f1129]) ).
thf(f39605,plain,
( spl2_308
| spl2_294
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f39336,f11186,f11327,f11425]) ).
thf(f39610,plain,
( spl2_28
| spl2_89
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f37012,f218,f3336,f784]) ).
thf(f39634,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_280
| ~ spl2_287 ),
inference(constrained_superposition,[],[f11187,f11235]) ).
thf(f39650,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_287
| spl2_423 ),
inference(constrained_superposition,[],[f30937,f11235]) ).
thf(f39658,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_278
| ~ spl2_287 ),
inference(constrained_superposition,[],[f38188,f11235]) ).
thf(f39665,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f752,f11235]) ).
thf(f39667,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f76,f11235]) ).
thf(f39671,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f160,f11235]) ).
thf(f39711,plain,
( spl2_28
| ~ spl2_280
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f39634,f11234,f11186,f784]) ).
thf(f39720,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_7
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f39667,f113]) ).
thf(f39721,plain,
( ~ spl2_11
| spl2_278
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f39658,f11234,f11179,f198]) ).
thf(f39723,plain,
( spl2_88
| spl2_68
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f39665,f11234,f1379,f3332]) ).
thf(f39728,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_7
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f39671,f113]) ).
thf(f39729,plain,
( ~ spl2_28
| ~ spl2_287
| spl2_423 ),
inference(avatar_split_clause,[],[f39650,f21288,f11234,f784]) ).
thf(f39730,plain,
( spl2_25
| spl2_7
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f39720,f11234,f112,f384]) ).
thf(f39731,plain,
( spl2_88
| spl2_7
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f39728,f11234,f112,f3332]) ).
thf(f39732,plain,
( spl2_425
| ~ spl2_10
| ~ spl2_4
| ~ spl2_438 ),
inference(avatar_split_clause,[],[f37713,f23332,f88,f122,f21306]) ).
thf(f39771,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_289 ),
inference(extensionality_resolution,[],[f179,f24508]) ).
thf(f39772,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_289 ),
inference(extensionality_resolution,[],[f179,f24508]) ).
thf(f39773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_289 ),
inference(extensionality_resolution,[],[f55,f24508]) ).
thf(f39775,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_289 ),
inference(extensionality_resolution,[],[f77,f24508]) ).
thf(f39776,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_289 ),
inference(extensionality_resolution,[],[f77,f24508]) ).
thf(f39777,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_289 ),
inference(extensionality_resolution,[],[f51,f24508]) ).
thf(f39778,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_289 ),
inference(extensionality_resolution,[],[f51,f24508]) ).
thf(f39781,plain,
( spl2_460
| spl2_459
| spl2_289 ),
inference(avatar_split_clause,[],[f39772,f11294,f24677,f24680]) ).
thf(f39782,plain,
( spl2_285
| spl2_284
| spl2_289 ),
inference(avatar_split_clause,[],[f39775,f11294,f11200,f11203]) ).
thf(f39783,plain,
( spl2_281
| spl2_280
| spl2_289 ),
inference(avatar_split_clause,[],[f39778,f11294,f11186,f11189]) ).
thf(f39784,plain,
( spl2_271
| spl2_446
| spl2_289 ),
inference(avatar_split_clause,[],[f39773,f11294,f24580,f11118]) ).
thf(f39785,plain,
( spl2_458
| spl2_457
| spl2_289 ),
inference(avatar_split_clause,[],[f39771,f11294,f24670,f24673]) ).
thf(f39786,plain,
( spl2_283
| spl2_282
| spl2_289 ),
inference(avatar_split_clause,[],[f39776,f11294,f11193,f11196]) ).
thf(f39919,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f3346,f178]) ).
thf(f39928,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f39919]) ).
thf(f39950,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_425
| ~ spl2_557 ),
inference(constrained_superposition,[],[f28205,f21307]) ).
thf(f39957,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_425
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f39950]) ).
thf(f39997,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f59,f11332]) ).
thf(f40006,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f39997]) ).
thf(f40013,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| spl2_32
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f40006,f807]) ).
thf(f40015,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_32
| ~ spl2_293
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f40013,f11317]) ).
thf(f40016,plain,
( spl2_303
| spl2_32
| ~ spl2_293
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f40015,f11331,f11316,f806,f11404]) ).
thf(f40017,plain,
( ~ spl2_94
| spl2_277
| ~ spl2_425
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f39957,f27831,f21306,f11152,f3357]) ).
thf(f40018,plain,
( spl2_11
| spl2_31
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f39928,f3345,f802,f198]) ).
thf(f40043,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f59,f792]) ).
thf(f40050,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f40043]) ).
thf(f40057,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_11
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f40050,f807]) ).
thf(f40060,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_17
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f40057,f914]) ).
thf(f40061,plain,
( spl2_15
| ~ spl2_11
| ~ spl2_17
| spl2_32 ),
inference(avatar_split_clause,[],[f40060,f806,f218,f198,f212]) ).
thf(f40105,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f160,f11119]) ).
thf(f40114,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f40105]) ).
thf(f40320,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_542 ),
inference(constrained_superposition,[],[f1263,f27690]) ).
thf(f40322,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_542 ),
inference(constrained_superposition,[],[f59,f27690]) ).
thf(f40336,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_542 ),
inference(trivial_inequality_removal,[],[f40320]) ).
thf(f40339,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_542 ),
inference(trivial_inequality_removal,[],[f40322]) ).
thf(f40342,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_94
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f40336,f3365]) ).
thf(f40344,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_478
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f40339,f25233]) ).
thf(f40347,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| spl2_32
| spl2_94
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f40342,f807]) ).
thf(f40348,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| spl2_32
| ~ spl2_478
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f40344,f807]) ).
thf(f40349,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_32
| spl2_94
| ~ spl2_478
| ~ spl2_542 ),
inference(forward_subsumption_resolution,[],[f40347,f25233]) ).
thf(f40350,plain,
( spl2_554
| spl2_32
| ~ spl2_478
| ~ spl2_542 ),
inference(avatar_split_clause,[],[f40348,f27675,f25204,f806,f27745]) ).
thf(f40351,plain,
( ~ spl2_548
| spl2_32
| spl2_94
| ~ spl2_478
| ~ spl2_542 ),
inference(avatar_split_clause,[],[f40349,f27675,f25204,f3357,f806,f27707]) ).
thf(f40404,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_279
| ~ spl2_334 ),
inference(constrained_superposition,[],[f13050,f11183]) ).
thf(f40411,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_279
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f40404]) ).
thf(f40414,plain,
( $false
| ~ spl2_279
| ~ spl2_288
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f40411,f12637]) ).
thf(f40415,plain,
( ~ spl2_279
| ~ spl2_288
| ~ spl2_334 ),
inference(avatar_contradiction_clause,[],[f40414]) ).
thf(f40449,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_555 ),
inference(constrained_superposition,[],[f195,f27860]) ).
thf(f40450,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_555 ),
inference(constrained_superposition,[],[f85,f27860]) ).
thf(f40466,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f40450]) ).
thf(f40468,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f40449]) ).
thf(f40490,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_32
| ~ spl2_82 ),
inference(constrained_superposition,[],[f807,f2376]) ).
thf(f40504,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_32
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f40490]) ).
thf(f40512,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_32
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f40504,f40]) ).
thf(f40514,plain,
( $false
| spl2_18
| spl2_32
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f40512,f11045]) ).
thf(f40515,plain,
( spl2_18
| spl2_32
| ~ spl2_82 ),
inference(avatar_contradiction_clause,[],[f40514]) ).
thf(f40524,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f30,f13526]) ).
thf(f40529,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f40524]) ).
thf(f40538,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_493 ),
inference(constrained_superposition,[],[f30,f25462]) ).
thf(f40539,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f40538]) ).
thf(f40556,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_550 ),
inference(constrained_superposition,[],[f59,f27721]) ).
thf(f40568,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_550 ),
inference(trivial_inequality_removal,[],[f40556]) ).
thf(f40573,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_505
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f40568,f26240]) ).
thf(f40575,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| spl2_32
| ~ spl2_505
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f40573,f807]) ).
thf(f40577,plain,
( spl2_535
| spl2_32
| ~ spl2_505
| ~ spl2_550 ),
inference(avatar_split_clause,[],[f40575,f27720,f26239,f806,f27166]) ).
thf(f40612,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_288 ),
inference(constrained_superposition,[],[f3333,f12637]) ).
thf(f40614,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_88
| ~ spl2_546 ),
inference(constrained_superposition,[],[f3333,f31151]) ).
thf(f40618,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_546 ),
inference(trivial_inequality_removal,[],[f40614]) ).
thf(f40622,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f40612]) ).
thf(f40624,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_288 ),
inference(constrained_superposition,[],[f40622,f178]) ).
thf(f40632,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f40624]) ).
thf(f40638,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_282 ),
inference(constrained_superposition,[],[f85,f11194]) ).
thf(f40641,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_282 ),
inference(constrained_superposition,[],[f59,f11194]) ).
thf(f40654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f40638]) ).
thf(f40656,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f40641]) ).
thf(f40663,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f1234,f11204]) ).
thf(f40677,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f40663]) ).
thf(f40748,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11423,f50]) ).
thf(f40762,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f40748]) ).
thf(f40821,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_453 ),
inference(constrained_superposition,[],[f195,f24646]) ).
thf(f40822,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_453 ),
inference(constrained_superposition,[],[f85,f24646]) ).
thf(f40824,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_453 ),
inference(constrained_superposition,[],[f1234,f24646]) ).
thf(f40825,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_453 ),
inference(constrained_superposition,[],[f59,f24646]) ).
thf(f40826,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_453
| ~ spl2_604 ),
inference(constrained_superposition,[],[f35961,f24646]) ).
thf(f40833,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_453
| ~ spl2_604 ),
inference(trivial_inequality_removal,[],[f40826]) ).
thf(f40838,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f40821]) ).
thf(f40839,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f40822]) ).
thf(f40840,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f40824]) ).
thf(f40841,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_453 ),
inference(trivial_inequality_removal,[],[f40825]) ).
thf(f40844,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_307
| ~ spl2_455 ),
inference(constrained_superposition,[],[f11423,f24653]) ).
thf(f40845,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_455 ),
inference(constrained_superposition,[],[f195,f24653]) ).
thf(f40865,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_307
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f40844]) ).
thf(f40867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f40845]) ).
thf(f40874,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f11309,f178]) ).
thf(f40877,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f11309,f76]) ).
thf(f40883,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f40874]) ).
thf(f40885,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f40877]) ).
thf(f40912,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_546 ),
inference(constrained_superposition,[],[f40618,f178]) ).
thf(f40919,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_546 ),
inference(trivial_inequality_removal,[],[f40912]) ).
thf(f40949,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_437 ),
inference(constrained_superposition,[],[f23326,f177]) ).
thf(f40953,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_437 ),
inference(trivial_inequality_removal,[],[f40949]) ).
thf(f40988,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_459 ),
inference(constrained_superposition,[],[f195,f24678]) ).
thf(f41002,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_459 ),
inference(trivial_inequality_removal,[],[f40988]) ).
thf(f41086,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_463 ),
inference(constrained_superposition,[],[f24728,f177]) ).
thf(f41092,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_463 ),
inference(trivial_inequality_removal,[],[f41086]) ).
thf(f41101,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_309
| ~ spl2_463 ),
inference(forward_subsumption_resolution,[],[f41092,f11431]) ).
thf(f41104,plain,
( spl2_353
| ~ spl2_309
| ~ spl2_463 ),
inference(avatar_split_clause,[],[f41101,f24727,f11430,f13605]) ).
thf(f41136,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_346
| ~ spl2_558 ),
inference(constrained_superposition,[],[f27842,f13526]) ).
thf(f41137,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_346
| ~ spl2_558 ),
inference(trivial_inequality_removal,[],[f41136]) ).
thf(f41140,plain,
( $false
| ~ spl2_272
| ~ spl2_346
| ~ spl2_558 ),
inference(forward_subsumption_resolution,[],[f41137,f11122]) ).
thf(f41141,plain,
( ~ spl2_272
| ~ spl2_346
| ~ spl2_558 ),
inference(avatar_contradiction_clause,[],[f41140]) ).
thf(f41157,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_433 ),
inference(constrained_superposition,[],[f22951,f50]) ).
thf(f41175,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_433 ),
inference(trivial_inequality_removal,[],[f41157]) ).
thf(f41209,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_476 ),
inference(constrained_superposition,[],[f195,f25072]) ).
thf(f41220,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f41209]) ).
thf(f41236,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f25458,f177]) ).
thf(f41240,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_459
| ~ spl2_492 ),
inference(constrained_superposition,[],[f25458,f24678]) ).
thf(f41244,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f41236]) ).
thf(f41246,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_459
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f41240]) ).
thf(f41251,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_309
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f41244,f11431]) ).
thf(f41252,plain,
( $false
| ~ spl2_459
| ~ spl2_492
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f41246,f27860]) ).
thf(f41253,plain,
( ~ spl2_459
| ~ spl2_492
| ~ spl2_555 ),
inference(avatar_contradiction_clause,[],[f41252]) ).
thf(f41254,plain,
( spl2_556
| ~ spl2_309
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f41251,f25457,f11430,f27815]) ).
thf(f41262,plain,
( spl2_428
| spl2_11
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f40114,f11118,f198,f22026]) ).
thf(f41263,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_288
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f40632,f11426]) ).
thf(f41264,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_4
| ~ spl2_433 ),
inference(forward_subsumption_resolution,[],[f41175,f3339]) ).
thf(f41265,plain,
( ~ spl2_19
| spl2_479
| ~ spl2_88
| ~ spl2_546 ),
inference(avatar_split_clause,[],[f40919,f27698,f3332,f25207,f246]) ).
thf(f41269,plain,
( spl2_557
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f40529,f13525,f27831]) ).
thf(f41270,plain,
( spl2_422
| spl2_20
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f37009,f218,f262,f20474]) ).
thf(f41271,plain,
( spl2_364
| spl2_290
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f40677,f11203,f11299,f14032]) ).
thf(f41272,plain,
( ~ spl2_479
| ~ spl2_307
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f40865,f24652,f11422,f25207]) ).
thf(f41274,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_313
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f40867,f30924]) ).
thf(f41275,plain,
( spl2_557
| ~ spl2_493 ),
inference(avatar_split_clause,[],[f40539,f25461,f27831]) ).
thf(f41288,plain,
( ~ spl2_24
| spl2_331
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f40762,f11422,f12698,f340]) ).
thf(f41289,plain,
( ~ spl2_19
| ~ spl2_88
| ~ spl2_288
| spl2_308 ),
inference(avatar_split_clause,[],[f41263,f11425,f11291,f3332,f246]) ).
thf(f41290,plain,
( ~ spl2_10
| spl2_300
| ~ spl2_4
| ~ spl2_433 ),
inference(avatar_split_clause,[],[f41264,f22950,f88,f11358,f122]) ).
thf(f41293,plain,
( spl2_539
| ~ spl2_479
| spl2_313
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f41274,f24652,f11596,f25207,f27557]) ).
thf(f41296,plain,
( spl2_278
| spl2_279
| spl2_289 ),
inference(avatar_split_clause,[],[f39777,f11294,f11182,f11179]) ).
thf(f41298,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_282
| ~ spl2_293 ),
inference(forward_subsumption_resolution,[],[f40656,f11317]) ).
thf(f41299,plain,
( spl2_556
| ~ spl2_340
| spl2_357
| ~ spl2_459 ),
inference(avatar_split_clause,[],[f41002,f24677,f13769,f13491,f27815]) ).
thf(f41300,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_425 ),
inference(avatar_component_clause,[],[f21306]) ).
thf(f41301,plain,
( ~ spl2_425
| spl2_295
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f40885,f11308,f11331,f21306]) ).
thf(f41302,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_298 ),
inference(avatar_component_clause,[],[f11346]) ).
thf(f41303,plain,
( spl2_308
| ~ spl2_298
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f40883,f11308,f11346,f11425]) ).
thf(f41307,plain,
( spl2_357
| spl2_527
| ~ spl2_340
| ~ spl2_476 ),
inference(avatar_split_clause,[],[f41220,f25071,f13491,f26881,f13769]) ).
thf(f41308,plain,
( ~ spl2_295
| spl2_491
| spl2_406
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f40839,f24645,f17374,f25452,f11331]) ).
thf(f41309,plain,
( spl2_298
| ~ spl2_11
| ~ spl2_24
| ~ spl2_437 ),
inference(avatar_split_clause,[],[f40953,f23325,f340,f198,f11346]) ).
thf(f41310,plain,
( spl2_357
| ~ spl2_340
| spl2_298
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f40468,f27808,f11346,f13491,f13769]) ).
thf(f41311,plain,
( spl2_346
| spl2_303
| ~ spl2_282
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f41298,f11316,f11193,f11404,f13525]) ).
thf(f41409,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_331 ),
inference(constrained_superposition,[],[f752,f12699]) ).
thf(f41412,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_331 ),
inference(constrained_superposition,[],[f30,f12699]) ).
thf(f41413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f41409]) ).
thf(f41414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f41412]) ).
thf(f41417,plain,
( spl2_317
| spl2_308
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f41413,f12698,f11425,f11672]) ).
thf(f41418,plain,
( spl2_557
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f41414,f12698,f27831]) ).
thf(f41420,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_86
| spl2_425 ),
inference(constrained_superposition,[],[f41300,f3326]) ).
thf(f41422,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_86
| spl2_425 ),
inference(trivial_inequality_removal,[],[f41420]) ).
thf(f41424,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_86
| spl2_287
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f41422,f24521]) ).
thf(f41426,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_86
| spl2_287
| spl2_300
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f41424,f23910]) ).
thf(f41428,plain,
( $false
| ~ spl2_86
| spl2_287
| spl2_300
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f41426,f40]) ).
thf(f41429,plain,
( ~ spl2_86
| spl2_287
| spl2_300
| spl2_425 ),
inference(avatar_contradiction_clause,[],[f41428]) ).
thf(f41430,plain,
( ~ spl2_343
| spl2_375
| spl2_425
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f40466,f27808,f21306,f14623,f13503]) ).
thf(f41431,plain,
( spl2_406
| ~ spl2_295
| spl2_424
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f40654,f11193,f21299,f11331,f17374]) ).
thf(f41440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f30,f11359]) ).
thf(f41444,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f41440]) ).
thf(f41448,plain,
( spl2_557
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f41444,f11358,f27831]) ).
thf(f41477,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f85,f11305]) ).
thf(f41478,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f1263,f11305]) ).
thf(f41479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f1234,f11305]) ).
thf(f41487,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41478]) ).
thf(f41491,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41477]) ).
thf(f41496,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41479]) ).
thf(f41525,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f195,f11431]) ).
thf(f41529,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f59,f11431]) ).
thf(f41542,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_309 ),
inference(duplicate_literal_removal,[],[f41525]) ).
thf(f41543,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f41542]) ).
thf(f41544,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f41529]) ).
thf(f41564,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f1263,f13504]) ).
thf(f41566,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f59,f13504]) ).
thf(f41575,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f41564]) ).
thf(f41579,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f41566]) ).
thf(f41588,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_313 ),
inference(constrained_superposition,[],[f752,f11597]) ).
thf(f41595,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f41588]) ).
thf(f41596,plain,
( spl2_308
| spl2_367
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f41595,f11596,f14237,f11425]) ).
thf(f41599,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f1263,f11679]) ).
thf(f41600,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f1234,f11679]) ).
thf(f41615,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f41600]) ).
thf(f41616,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f41599]) ).
thf(f41709,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f160,f11187]) ).
thf(f41712,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f41709]) ).
thf(f41725,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_76
| ~ spl2_369 ),
inference(constrained_superposition,[],[f1438,f14272]) ).
thf(f41728,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_369 ),
inference(constrained_superposition,[],[f57,f14272]) ).
thf(f41731,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f41728]) ).
thf(f41734,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f41725]) ).
thf(f41736,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_76
| ~ spl2_86
| ~ spl2_369 ),
inference(constrained_superposition,[],[f41734,f3326]) ).
thf(f41738,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_86
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f41736]) ).
thf(f41740,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_86
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f41738,f40]) ).
thf(f41742,plain,
( spl2_346
| spl2_344
| ~ spl2_76
| ~ spl2_86
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f41740,f14271,f3325,f1437,f13509,f13525]) ).
thf(f41743,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_308
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f40838,f11679]) ).
thf(f41744,plain,
( spl2_15
| spl2_300
| ~ spl2_17
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f41544,f11430,f218,f11358,f212]) ).
thf(f41747,plain,
( spl2_17
| spl2_361
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f41731,f14271,f13857,f218]) ).
thf(f41748,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_32
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f41575,f807]) ).
thf(f41750,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_293
| ~ spl2_453 ),
inference(forward_subsumption_resolution,[],[f40841,f11317]) ).
thf(f41751,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_32
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f41579,f807]) ).
thf(f41754,plain,
( spl2_335
| spl2_295
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f41712,f11186,f11331,f13161]) ).
thf(f41755,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_298
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f41543,f41302]) ).
thf(f41757,plain,
( spl2_39
| spl2_444
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41496,f11304,f24566,f908]) ).
thf(f41758,plain,
( ~ spl2_479
| ~ spl2_478
| ~ spl2_453
| ~ spl2_604 ),
inference(avatar_split_clause,[],[f40833,f35960,f24645,f25204,f25207]) ).
thf(f41759,plain,
( spl2_307
| spl2_556
| ~ spl2_308
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f41743,f24645,f11425,f27815,f11422]) ).
thf(f41761,plain,
( ~ spl2_374
| ~ spl2_342
| spl2_94
| spl2_32
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f41748,f13503,f806,f3357,f13499,f14537]) ).
thf(f41763,plain,
( spl2_493
| spl2_303
| ~ spl2_293
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f41750,f24645,f11316,f11404,f25461]) ).
thf(f41764,plain,
( ~ spl2_342
| spl2_359
| spl2_32
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f41751,f13503,f806,f13777,f13499]) ).
thf(f41765,plain,
( spl2_22
| ~ spl2_23
| spl2_298
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f41755,f11430,f11346,f336,f333]) ).
thf(f41769,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_293
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f41616,f11317]) ).
thf(f41770,plain,
( ~ spl2_274
| spl2_28
| spl2_398
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41491,f11304,f16911,f784,f11129]) ).
thf(f41771,plain,
( spl2_483
| spl2_482
| ~ spl2_453 ),
inference(avatar_split_clause,[],[f40840,f24645,f25223,f25226]) ).
thf(f41775,plain,
( spl2_20
| spl2_39
| ~ spl2_316
| ~ spl2_277
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41487,f11304,f11152,f11616,f908,f262]) ).
thf(f41776,plain,
( spl2_39
| spl2_604
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f41615,f11425,f35960,f908]) ).
thf(f41779,plain,
( spl2_39
| ~ spl2_302
| spl2_20
| ~ spl2_293
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f41769,f11425,f11316,f262,f11400,f908]) ).
thf(f41803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f160,f263]) ).
thf(f41807,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f41803]) ).
thf(f41810,plain,
( spl2_66
| spl2_11
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f41807,f262,f198,f1371]) ).
thf(f41893,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f160,f11359]) ).
thf(f41894,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f57,f11359]) ).
thf(f41896,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f41894]) ).
thf(f41897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f41893]) ).
thf(f41900,plain,
( spl2_274
| spl2_319
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f41897,f11358,f12178,f11129]) ).
thf(f41924,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f59,f11310]) ).
thf(f41930,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f41924]) ).
thf(f41938,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| spl2_32
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f41930,f807]) ).
thf(f41948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_331 ),
inference(constrained_superposition,[],[f160,f12699]) ).
thf(f41954,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f41948]) ).
thf(f41955,plain,
( spl2_318
| spl2_295
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f41954,f12698,f11331,f11676]) ).
thf(f42044,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_493 ),
inference(constrained_superposition,[],[f160,f25462]) ).
thf(f42045,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_493 ),
inference(constrained_superposition,[],[f57,f25462]) ).
thf(f42049,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f42045]) ).
thf(f42052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_493 ),
inference(trivial_inequality_removal,[],[f42044]) ).
thf(f42077,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f49]) ).
thf(f42084,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f42077]) ).
thf(f42130,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f57,f25453]) ).
thf(f42137,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f42130]) ).
thf(f42194,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f195,f24657]) ).
thf(f42197,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_456 ),
inference(constrained_superposition,[],[f1234,f24657]) ).
thf(f42205,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f42194]) ).
thf(f42206,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f42197]) ).
thf(f42214,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_291
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f42205,f11305]) ).
thf(f42215,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_347
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f42206,f33448]) ).
thf(f42217,plain,
( spl2_328
| spl2_353
| ~ spl2_291
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f42214,f24656,f11304,f13605,f12685]) ).
thf(f42218,plain,
( spl2_574
| spl2_347
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f42215,f24656,f13560,f28936]) ).
thf(f42227,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_479 ),
inference(constrained_superposition,[],[f85,f25579]) ).
thf(f42246,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f42227]) ).
thf(f42256,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_498
| ~ spl2_556 ),
inference(constrained_superposition,[],[f25647,f27816]) ).
thf(f42257,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_549
| ~ spl2_556 ),
inference(constrained_superposition,[],[f27716,f27816]) ).
thf(f42262,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_549
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f42257]) ).
thf(f42266,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_498
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f42256]) ).
thf(f42268,plain,
( $false
| ~ spl2_20
| ~ spl2_549
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f42262,f263]) ).
thf(f42269,plain,
( ~ spl2_20
| ~ spl2_549
| ~ spl2_556 ),
inference(avatar_contradiction_clause,[],[f42268]) ).
thf(f42272,plain,
( spl2_549
| spl2_542
| ~ spl2_493 ),
inference(avatar_split_clause,[],[f42052,f25461,f27675,f27715]) ).
thf(f42273,plain,
( spl2_497
| spl2_478
| ~ spl2_493 ),
inference(avatar_split_clause,[],[f42049,f25461,f25204,f25624]) ).
thf(f42275,plain,
( ~ spl2_19
| ~ spl2_498
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f42266,f27815,f25646,f246]) ).
thf(f42276,plain,
( spl2_320
| spl2_277
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f41896,f11358,f11152,f12183]) ).
thf(f42278,plain,
( ~ spl2_277
| spl2_330
| spl2_32
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f41938,f11129,f806,f12695,f11152]) ).
thf(f42281,plain,
( ~ spl2_542
| spl2_541
| spl2_28
| ~ spl2_479 ),
inference(avatar_split_clause,[],[f42246,f25207,f784,f27672,f27675]) ).
thf(f42284,plain,
( spl2_498
| spl2_478
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f42137,f25452,f25204,f25646]) ).
thf(f42332,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f247]) ).
thf(f42335,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_19
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f42332]) ).
thf(f42397,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f85,f11431]) ).
thf(f42411,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f42397]) ).
thf(f42434,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_423 ),
inference(constrained_superposition,[],[f752,f21289]) ).
thf(f42435,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_423 ),
inference(constrained_superposition,[],[f160,f21289]) ).
thf(f42439,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f42434]) ).
thf(f42441,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f42435]) ).
thf(f42464,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_88
| ~ spl2_355 ),
inference(constrained_superposition,[],[f3333,f13620]) ).
thf(f42468,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f42464]) ).
thf(f42480,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_424 ),
inference(constrained_superposition,[],[f160,f21300]) ).
thf(f42483,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f42480]) ).
thf(f42488,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_343
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f42483,f13574]) ).
thf(f42524,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_88
| ~ spl2_556 ),
inference(constrained_superposition,[],[f42335,f27816]) ).
thf(f42532,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_88
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f42524]) ).
thf(f42540,plain,
( ~ spl2_546
| ~ spl2_19
| ~ spl2_88
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f42532,f27815,f3332,f246,f27698]) ).
thf(f42547,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f195,f11180]) ).
thf(f42548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f85,f11180]) ).
thf(f42559,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f42547]) ).
thf(f42563,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f42548]) ).
thf(f42567,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_278
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f42559,f11679]) ).
thf(f42569,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f42563,f11332]) ).
thf(f42570,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_278
| spl2_298
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f42567,f41302]) ).
thf(f42571,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_278
| ~ spl2_295
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f42569,f41300]) ).
thf(f42572,plain,
( spl2_307
| ~ spl2_278
| spl2_298
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f42570,f11425,f11346,f11179,f11422]) ).
thf(f42573,plain,
( spl2_406
| ~ spl2_278
| ~ spl2_295
| spl2_425 ),
inference(avatar_split_clause,[],[f42571,f21306,f11331,f11179,f17374]) ).
thf(f42673,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_395
| ~ spl2_412 ),
inference(constrained_superposition,[],[f15837,f18634]) ).
thf(f42675,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412 ),
inference(constrained_superposition,[],[f160,f18634]) ).
thf(f42678,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f42675]) ).
thf(f42679,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_395
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f42673]) ).
thf(f42683,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_343
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f42678,f13574]) ).
thf(f42684,plain,
( $false
| ~ spl2_300
| ~ spl2_395
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f42679,f11359]) ).
thf(f42685,plain,
( ~ spl2_300
| ~ spl2_395
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f42684]) ).
thf(f42686,plain,
( spl2_558
| spl2_343
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f42683,f18633,f13503,f27841]) ).
thf(f42739,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_313
| ~ spl2_414 ),
inference(constrained_superposition,[],[f18671,f11597]) ).
thf(f42745,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_313
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f42739]) ).
thf(f42750,plain,
( $false
| ~ spl2_19
| ~ spl2_313
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f42745,f247]) ).
thf(f42751,plain,
( ~ spl2_19
| ~ spl2_313
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f42750]) ).
thf(f42753,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_557 ),
inference(constrained_superposition,[],[f42084,f178]) ).
thf(f42781,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f42753]) ).
thf(f42800,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_117
| ~ spl2_295 ),
inference(constrained_superposition,[],[f6089,f11332]) ).
thf(f42804,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_117
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f42800]) ).
thf(f42843,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_117
| ~ spl2_293
| ~ spl2_295 ),
inference(constrained_superposition,[],[f42804,f11317]) ).
thf(f42848,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_117
| ~ spl2_293
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f42843]) ).
thf(f42859,plain,
( ~ spl2_10
| ~ spl2_117
| ~ spl2_293
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f42848,f11331,f11316,f6088,f122]) ).
thf(f42860,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(constrained_superposition,[],[f195,f11194]) ).
thf(f42870,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f42860]) ).
thf(f42880,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_282
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f42870,f11679]) ).
thf(f42883,plain,
( spl2_307
| spl2_353
| ~ spl2_282
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f42880,f11425,f11193,f13605,f11422]) ).
thf(f42895,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_467 ),
inference(constrained_superposition,[],[f195,f25028]) ).
thf(f42896,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_467 ),
inference(constrained_superposition,[],[f85,f25028]) ).
thf(f42915,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f42896]) ).
thf(f42916,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_467 ),
inference(trivial_inequality_removal,[],[f42895]) ).
thf(f42919,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_298
| ~ spl2_467 ),
inference(forward_subsumption_resolution,[],[f42916,f41302]) ).
thf(f42956,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_355 ),
inference(constrained_superposition,[],[f42468,f178]) ).
thf(f42965,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f42956]) ).
thf(f43012,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_453
| ~ spl2_554 ),
inference(constrained_superposition,[],[f27746,f24646]) ).
thf(f43016,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_453
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f43012]) ).
thf(f43021,plain,
( $false
| ~ spl2_293
| ~ spl2_453
| ~ spl2_554 ),
inference(forward_subsumption_resolution,[],[f43016,f11317]) ).
thf(f43022,plain,
( ~ spl2_293
| ~ spl2_453
| ~ spl2_554 ),
inference(avatar_contradiction_clause,[],[f43021]) ).
thf(f43024,plain,
( spl2_425
| ~ spl2_542
| spl2_541
| ~ spl2_467 ),
inference(avatar_split_clause,[],[f42915,f25027,f27672,f27675,f21306]) ).
thf(f43025,plain,
( spl2_425
| ~ spl2_11
| spl2_13
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f42411,f11430,f205,f198,f21306]) ).
thf(f43026,plain,
( spl2_340
| ~ spl2_19
| ~ spl2_88
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f42965,f13619,f3332,f246,f13491]) ).
thf(f43029,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_17
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f42781,f219]) ).
thf(f43030,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_298
| ~ spl2_467
| ~ spl2_479 ),
inference(forward_subsumption_resolution,[],[f42919,f25579]) ).
thf(f43031,plain,
( spl2_43
| spl2_17
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f43029,f27831,f218,f924]) ).
thf(f43032,plain,
( spl2_539
| spl2_298
| ~ spl2_467
| ~ spl2_479 ),
inference(avatar_split_clause,[],[f43030,f25207,f25027,f11346,f27557]) ).
thf(f43087,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_88
| ~ spl2_296 ),
inference(constrained_superposition,[],[f3333,f11488]) ).
thf(f43092,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f43087]) ).
thf(f43097,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f160,f21307]) ).
thf(f43099,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f57,f21307]) ).
thf(f43103,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f43097]) ).
thf(f43105,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f43099]) ).
thf(f43143,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_73
| ~ spl2_369 ),
inference(constrained_superposition,[],[f1401,f14272]) ).
thf(f43149,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_73
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f43143]) ).
thf(f43183,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_296
| ~ spl2_469 ),
inference(constrained_superposition,[],[f43092,f25035]) ).
thf(f43191,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_296
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f43183]) ).
thf(f43198,plain,
( $false
| ~ spl2_88
| ~ spl2_296
| ~ spl2_469
| ~ spl2_546 ),
inference(forward_subsumption_resolution,[],[f43191,f31151]) ).
thf(f43199,plain,
( ~ spl2_88
| ~ spl2_296
| ~ spl2_469
| ~ spl2_546 ),
inference(avatar_contradiction_clause,[],[f43198]) ).
thf(f43237,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_343
| ~ spl2_412
| ~ spl2_424 ),
inference(constrained_superposition,[],[f42488,f18634]) ).
thf(f43238,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_412
| ~ spl2_426 ),
inference(constrained_superposition,[],[f21520,f18634]) ).
thf(f43239,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412 ),
inference(constrained_superposition,[],[f752,f18634]) ).
thf(f43243,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_296
| ~ spl2_412 ),
inference(constrained_superposition,[],[f43092,f18634]) ).
thf(f43245,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_412
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f43238]) ).
thf(f43249,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_343
| ~ spl2_412
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f43237]) ).
thf(f43250,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_296
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f43243]) ).
thf(f43251,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f43239]) ).
thf(f43253,plain,
( $false
| ~ spl2_296
| ~ spl2_412
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f43245,f11488]) ).
thf(f43254,plain,
( ~ spl2_296
| ~ spl2_412
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f43253]) ).
thf(f43255,plain,
( $false
| spl2_343
| ~ spl2_412
| ~ spl2_424
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f43249,f21307]) ).
thf(f43256,plain,
( spl2_343
| ~ spl2_412
| ~ spl2_424
| ~ spl2_425 ),
inference(avatar_contradiction_clause,[],[f43255]) ).
thf(f43257,plain,
( $false
| ~ spl2_88
| ~ spl2_296
| ~ spl2_355
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f43250,f13620]) ).
thf(f43258,plain,
( ~ spl2_88
| ~ spl2_296
| ~ spl2_355
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f43257]) ).
thf(f43259,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_340
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f43251,f13767]) ).
thf(f43261,plain,
( spl2_409
| spl2_340
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f43259,f18633,f13491,f18041]) ).
thf(f43262,plain,
( spl2_603
| spl2_274
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f43103,f21306,f11129,f34777]) ).
thf(f43264,plain,
( spl2_334
| spl2_277
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f43105,f21306,f11152,f13049]) ).
thf(f43266,plain,
( spl2_295
| spl2_431
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f42441,f21288,f22557,f11331]) ).
thf(f43267,plain,
( ~ spl2_347
| ~ spl2_73
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f43149,f14271,f1400,f13560]) ).
thf(f43276,plain,
( ( $true != $true )
| ~ spl2_22
| ~ spl2_291 ),
inference(constrained_superposition,[],[f334,f11305]) ).
thf(f43277,plain,
( ( $true != $true )
| ~ spl2_22
| ~ spl2_308 ),
inference(constrained_superposition,[],[f334,f11679]) ).
thf(f43284,plain,
( $false
| ~ spl2_22
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f43276]) ).
thf(f43285,plain,
( ~ spl2_22
| ~ spl2_291 ),
inference(avatar_contradiction_clause,[],[f43284]) ).
thf(f43287,plain,
( $false
| ~ spl2_22
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f43277]) ).
thf(f43288,plain,
( ~ spl2_22
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f43287]) ).
thf(f43290,plain,
( spl2_308
| spl2_414
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f42439,f21288,f18670,f11425]) ).
thf(f43295,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| spl2_299 ),
inference(extensionality_resolution,[],[f179,f24966]) ).
thf(f43296,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f179,f24966]) ).
thf(f43298,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f55,f24966]) ).
thf(f43299,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_299 ),
inference(extensionality_resolution,[],[f77,f24966]) ).
thf(f43300,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f77,f24966]) ).
thf(f43305,plain,
( spl2_470
| spl2_471
| spl2_299 ),
inference(avatar_split_clause,[],[f43295,f11349,f25041,f25038]) ).
thf(f43306,plain,
( spl2_472
| spl2_473
| spl2_299 ),
inference(avatar_split_clause,[],[f43296,f11349,f25048,f25045]) ).
thf(f43307,plain,
( spl2_468
| spl2_469
| spl2_299 ),
inference(avatar_split_clause,[],[f43299,f11349,f25034,f25031]) ).
thf(f43308,plain,
( spl2_563
| spl2_288
| spl2_299 ),
inference(avatar_split_clause,[],[f43298,f11349,f11291,f27890]) ).
thf(f43309,plain,
( spl2_467
| spl2_466
| spl2_299 ),
inference(avatar_split_clause,[],[f43300,f11349,f25024,f25027]) ).
thf(f43448,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_116
| ~ spl2_423 ),
inference(constrained_superposition,[],[f6044,f21289]) ).
thf(f43455,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_116
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f43448]) ).
thf(f43458,plain,
( $false
| ~ spl2_116
| ~ spl2_288
| ~ spl2_423 ),
inference(forward_subsumption_resolution,[],[f43455,f12637]) ).
thf(f43459,plain,
( ~ spl2_116
| ~ spl2_288
| ~ spl2_423 ),
inference(avatar_contradiction_clause,[],[f43458]) ).
thf(f43510,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_76
| ~ spl2_370 ),
inference(constrained_superposition,[],[f1438,f14282]) ).
thf(f43513,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f43510]) ).
thf(f43515,plain,
( $false
| ~ spl2_76
| ~ spl2_370
| ~ spl2_423 ),
inference(forward_subsumption_resolution,[],[f43513,f21289]) ).
thf(f43516,plain,
( ~ spl2_76
| ~ spl2_370
| ~ spl2_423 ),
inference(avatar_contradiction_clause,[],[f43515]) ).
thf(f43540,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f195,f11190]) ).
thf(f43542,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f1263,f11190]) ).
thf(f43543,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f1234,f11190]) ).
thf(f43552,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f43540]) ).
thf(f43553,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f43543]) ).
thf(f43555,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f43542]) ).
thf(f43613,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11405,f75]) ).
thf(f43622,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f43613]) ).
thf(f43650,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_407
| ~ spl2_603 ),
inference(constrained_superposition,[],[f34778,f18005]) ).
thf(f43653,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_407 ),
inference(constrained_superposition,[],[f160,f18005]) ).
thf(f43654,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_407 ),
inference(constrained_superposition,[],[f57,f18005]) ).
thf(f43658,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f43653]) ).
thf(f43659,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f43654]) ).
thf(f43660,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_407
| ~ spl2_603 ),
inference(trivial_inequality_removal,[],[f43650]) ).
thf(f43662,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_274
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f43658,f11130]) ).
thf(f43663,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_277
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f43659,f11153]) ).
thf(f43664,plain,
( spl2_602
| spl2_274
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f43662,f18004,f11129,f34773]) ).
thf(f43665,plain,
( spl2_409
| spl2_277
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f43663,f18004,f11152,f18041]) ).
thf(f43671,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412 ),
inference(constrained_superposition,[],[f57,f18634]) ).
thf(f43675,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f43671]) ).
thf(f43680,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_342
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f43675,f13575]) ).
thf(f43681,plain,
( spl2_409
| spl2_342
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f43680,f18633,f13499,f18041]) ).
thf(f43692,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_556 ),
inference(constrained_superposition,[],[f57,f27816]) ).
thf(f43695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f43692]) ).
thf(f43699,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_478
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f43695,f25205]) ).
thf(f43701,plain,
( spl2_605
| spl2_478
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f43699,f27815,f25204,f36244]) ).
thf(f43703,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_479 ),
inference(constrained_superposition,[],[f25208,f51]) ).
thf(f43704,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_479 ),
inference(constrained_superposition,[],[f25208,f29]) ).
thf(f43705,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_479 ),
inference(trivial_inequality_removal,[],[f43703]) ).
thf(f43706,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_479 ),
inference(trivial_inequality_removal,[],[f43704]) ).
thf(f43708,plain,
( spl2_564
| spl2_344
| spl2_479 ),
inference(avatar_split_clause,[],[f43705,f25207,f13509,f27913]) ).
thf(f43709,plain,
( spl2_564
| spl2_485
| spl2_479 ),
inference(avatar_split_clause,[],[f43706,f25207,f25260,f27913]) ).
thf(f43741,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_328 ),
inference(constrained_superposition,[],[f12686,f50]) ).
thf(f43750,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f43741]) ).
thf(f43758,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_300
| ~ spl2_328 ),
inference(forward_subsumption_resolution,[],[f43750,f23910]) ).
thf(f43759,plain,
( ~ spl2_24
| spl2_300
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f43758,f12685,f11358,f340]) ).
thf(f43763,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_313
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11673,f11597]) ).
thf(f43772,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_313
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f43763]) ).
thf(f43776,plain,
( $false
| ~ spl2_39
| ~ spl2_313
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f43772,f3950]) ).
thf(f43777,plain,
( ~ spl2_39
| ~ spl2_313
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f43776]) ).
thf(f43803,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f6089,f50]) ).
thf(f43809,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f43803]) ).
thf(f43814,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| spl2_32
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f43809,f807]) ).
thf(f43818,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_11
| spl2_32
| ~ spl2_117 ),
inference(constrained_superposition,[],[f43814,f792]) ).
thf(f43819,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_32
| ~ spl2_117
| ~ spl2_343 ),
inference(constrained_superposition,[],[f43814,f13504]) ).
thf(f43821,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_32
| ~ spl2_117
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f43819]) ).
thf(f43822,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_11
| spl2_32
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f43818]) ).
thf(f43827,plain,
( ~ spl2_374
| spl2_32
| ~ spl2_117
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f43821,f13503,f6088,f806,f14537]) ).
thf(f43828,plain,
( ~ spl2_24
| ~ spl2_11
| spl2_32
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f43822,f6088,f806,f198,f340]) ).
thf(f43897,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_468 ),
inference(constrained_superposition,[],[f195,f25032]) ).
thf(f43898,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_468 ),
inference(constrained_superposition,[],[f85,f25032]) ).
thf(f43911,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f43897]) ).
thf(f43914,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f43898]) ).
thf(f43935,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_375 ),
inference(constrained_superposition,[],[f14624,f50]) ).
thf(f43946,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_375 ),
inference(trivial_inequality_removal,[],[f43935]) ).
thf(f43950,plain,
( ~ spl2_10
| spl2_346
| ~ spl2_375 ),
inference(avatar_split_clause,[],[f43946,f14623,f13525,f122]) ).
thf(f44137,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_457 ),
inference(constrained_superposition,[],[f195,f24671]) ).
thf(f44138,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_457 ),
inference(constrained_superposition,[],[f85,f24671]) ).
thf(f44152,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f44137]) ).
thf(f44154,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f44138]) ).
thf(f44317,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_475 ),
inference(constrained_superposition,[],[f59,f25068]) ).
thf(f44332,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_475 ),
inference(trivial_inequality_removal,[],[f44317]) ).
thf(f44356,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f25458,f50]) ).
thf(f44362,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_453
| ~ spl2_492 ),
inference(constrained_superposition,[],[f25458,f24646]) ).
thf(f44369,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_453
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f44362]) ).
thf(f44373,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f44356]) ).
thf(f44375,plain,
( $false
| ~ spl2_278
| ~ spl2_453
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f44369,f11180]) ).
thf(f44376,plain,
( ~ spl2_278
| ~ spl2_453
| ~ spl2_492 ),
inference(avatar_contradiction_clause,[],[f44375]) ).
thf(f44377,plain,
( spl2_493
| ~ spl2_316
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f44373,f25457,f11616,f25461]) ).
thf(f44378,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_407
| ~ spl2_457
| ~ spl2_603 ),
inference(forward_subsumption_resolution,[],[f44154,f43660]) ).
thf(f44379,plain,
( ~ spl2_542
| spl2_541
| ~ spl2_407
| ~ spl2_457
| ~ spl2_603 ),
inference(avatar_split_clause,[],[f44378,f34777,f24670,f18004,f27672,f27675]) ).
thf(f44414,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_466 ),
inference(constrained_superposition,[],[f160,f25025]) ).
thf(f44421,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_466 ),
inference(trivial_inequality_removal,[],[f44414]) ).
thf(f44437,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_541 ),
inference(constrained_superposition,[],[f27673,f50]) ).
thf(f44447,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_541 ),
inference(trivial_inequality_removal,[],[f44437]) ).
thf(f44454,plain,
( ~ spl2_10
| spl2_493
| ~ spl2_541 ),
inference(avatar_split_clause,[],[f44447,f27672,f25461,f122]) ).
thf(f44455,plain,
( spl2_600
| spl2_274
| ~ spl2_466 ),
inference(avatar_split_clause,[],[f44421,f25024,f11129,f34762]) ).
thf(f44456,plain,
( spl2_398
| spl2_491
| ~ spl2_274
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f43914,f25031,f11129,f25452,f16911]) ).
thf(f44459,plain,
( spl2_353
| ~ spl2_479
| spl2_539
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f44152,f24670,f27557,f25207,f13605]) ).
thf(f44461,plain,
( ~ spl2_505
| spl2_535
| spl2_346
| ~ spl2_475 ),
inference(avatar_split_clause,[],[f44332,f25067,f13525,f27166,f26239]) ).
thf(f44462,plain,
( spl2_328
| spl2_556
| ~ spl2_291
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f43911,f25031,f11304,f27815,f12685]) ).
thf(f44463,plain,
( ~ spl2_4
| spl2_423
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f43622,f11404,f21288,f88]) ).
thf(f44465,plain,
( ~ spl2_542
| spl2_541
| spl2_424
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f44154,f24670,f21299,f27672,f27675]) ).
thf(f44466,plain,
( spl2_328
| spl2_313
| ~ spl2_291
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f43552,f11189,f11304,f11596,f12685]) ).
thf(f44481,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f160,f785]) ).
thf(f44486,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f44481]) ).
thf(f44489,plain,
( spl2_11
| spl2_76
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f44486,f784,f1437,f198]) ).
thf(f44496,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_88 ),
inference(constrained_superposition,[],[f3333,f247]) ).
thf(f44500,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_19
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f44496]) ).
thf(f44503,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f1263,f11310]) ).
thf(f44504,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f1234,f11310]) ).
thf(f44512,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f44503]) ).
thf(f44517,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f44504]) ).
thf(f44562,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f57,f11347]) ).
thf(f44564,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f44562]) ).
thf(f44593,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f85,f11679]) ).
thf(f44596,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f59,f11679]) ).
thf(f44602,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f44593]) ).
thf(f44603,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f44596]) ).
thf(f44651,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_330 ),
inference(constrained_superposition,[],[f12696,f75]) ).
thf(f44660,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f44651]) ).
thf(f44662,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_5
| spl2_425 ),
inference(constrained_superposition,[],[f41300,f92]) ).
thf(f44663,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_5
| spl2_423 ),
inference(constrained_superposition,[],[f30937,f92]) ).
thf(f44672,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_5
| ~ spl2_361 ),
inference(constrained_superposition,[],[f13858,f92]) ).
thf(f44674,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_367 ),
inference(constrained_superposition,[],[f14238,f92]) ).
thf(f44682,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| spl2_423 ),
inference(trivial_inequality_removal,[],[f44663]) ).
thf(f44684,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f44672]) ).
thf(f44690,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f44674]) ).
thf(f44699,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_5
| spl2_425 ),
inference(trivial_inequality_removal,[],[f44662]) ).
thf(f44702,plain,
( $false
| ~ spl2_5
| spl2_331
| spl2_423 ),
inference(forward_subsumption_resolution,[],[f44682,f30996]) ).
thf(f44703,plain,
( ~ spl2_5
| spl2_331
| spl2_423 ),
inference(avatar_contradiction_clause,[],[f44702]) ).
thf(f44705,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_28
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f44684,f785]) ).
thf(f44706,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_28
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f44690,f785]) ).
thf(f44708,plain,
( $false
| ~ spl2_5
| spl2_300
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f44699,f23910]) ).
thf(f44709,plain,
( ~ spl2_5
| spl2_300
| spl2_425 ),
inference(avatar_contradiction_clause,[],[f44708]) ).
thf(f44711,plain,
( spl2_346
| ~ spl2_5
| ~ spl2_28
| ~ spl2_361 ),
inference(avatar_split_clause,[],[f44705,f13857,f784,f91,f13525]) ).
thf(f44712,plain,
( $false
| ~ spl2_5
| ~ spl2_28
| spl2_331
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f44706,f30996]) ).
thf(f44713,plain,
( ~ spl2_5
| ~ spl2_28
| spl2_331
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f44712]) ).
thf(f44716,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_32
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f44512,f807]) ).
thf(f44719,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_281
| spl2_331 ),
inference(forward_subsumption_resolution,[],[f43555,f30996]) ).
thf(f44720,plain,
( spl2_290
| spl2_365
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f43553,f11189,f14039,f11299]) ).
thf(f44721,plain,
( spl2_333
| spl2_277
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f44564,f11346,f11152,f12858]) ).
thf(f44723,plain,
( ~ spl2_4
| spl2_425
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f44660,f12695,f21306,f88]) ).
thf(f44724,plain,
( spl2_94
| spl2_382
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f44517,f11129,f14960,f3357]) ).
thf(f44727,plain,
( ~ spl2_293
| spl2_20
| spl2_303
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f44603,f11425,f11404,f262,f11316]) ).
thf(f44728,plain,
( ~ spl2_277
| spl2_94
| ~ spl2_316
| spl2_32
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f44716,f11129,f806,f11616,f3357,f11152]) ).
thf(f44729,plain,
( ~ spl2_277
| spl2_290
| ~ spl2_316
| ~ spl2_281
| spl2_331 ),
inference(avatar_split_clause,[],[f44719,f12698,f11189,f11616,f11299,f11152]) ).
thf(f44748,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281
| ~ spl2_287 ),
inference(constrained_superposition,[],[f11190,f11235]) ).
thf(f44749,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_274
| ~ spl2_287 ),
inference(constrained_superposition,[],[f11310,f11235]) ).
thf(f44754,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_287
| ~ spl2_330 ),
inference(constrained_superposition,[],[f12696,f11235]) ).
thf(f44765,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_287
| spl2_559 ),
inference(constrained_superposition,[],[f27864,f11235]) ).
thf(f44782,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| ~ spl2_287 ),
inference(constrained_superposition,[],[f92,f11235]) ).
thf(f44784,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f177,f11235]) ).
thf(f44816,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_80
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f44784,f1636]) ).
thf(f44822,plain,
( spl2_6
| ~ spl2_287
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f44754,f12695,f11234,f94]) ).
thf(f44825,plain,
( spl2_7
| ~ spl2_274
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f44749,f11234,f11129,f112]) ).
thf(f44829,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| spl2_32
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f44782,f807]) ).
thf(f44830,plain,
( ~ spl2_7
| ~ spl2_287
| spl2_559 ),
inference(avatar_split_clause,[],[f44765,f27863,f11234,f112]) ).
thf(f44835,plain,
( $false
| spl2_68
| ~ spl2_281
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f44748,f1380]) ).
thf(f44836,plain,
( spl2_68
| ~ spl2_281
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f44835]) ).
thf(f44838,plain,
( spl2_23
| spl2_80
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f44816,f11234,f1635,f336]) ).
thf(f44839,plain,
( $false
| ~ spl2_5
| spl2_25
| spl2_32
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f44829,f385]) ).
thf(f44840,plain,
( ~ spl2_5
| spl2_25
| spl2_32
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f44839]) ).
thf(f44846,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_287 ),
inference(extensionality_resolution,[],[f179,f24521]) ).
thf(f44847,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_287 ),
inference(extensionality_resolution,[],[f179,f24521]) ).
thf(f44850,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_287 ),
inference(extensionality_resolution,[],[f77,f24521]) ).
thf(f44851,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_287 ),
inference(extensionality_resolution,[],[f77,f24521]) ).
thf(f44857,plain,
( spl2_453
| spl2_452
| spl2_287 ),
inference(avatar_split_clause,[],[f44847,f11234,f24642,f24645]) ).
thf(f44858,plain,
( spl2_456
| spl2_412
| spl2_287 ),
inference(avatar_split_clause,[],[f44851,f11234,f18633,f24656]) ).
thf(f44859,plain,
( spl2_555
| spl2_407
| spl2_287 ),
inference(avatar_split_clause,[],[f44850,f11234,f18004,f27808]) ).
thf(f44860,plain,
( spl2_454
| spl2_455
| spl2_287 ),
inference(avatar_split_clause,[],[f44846,f11234,f24652,f24649]) ).
thf(f44869,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f24,f6134]) ).
thf(f44873,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(duplicate_literal_removal,[],[f44869]) ).
thf(f44874,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f44873]) ).
thf(f44881,plain,
( spl2_117
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f44874,f112,f6088]) ).
thf(f44923,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_312 ),
inference(extensionality_resolution,[],[f179,f24987]) ).
thf(f44924,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| spl2_312 ),
inference(extensionality_resolution,[],[f179,f24987]) ).
thf(f44925,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_312 ),
inference(extensionality_resolution,[],[f55,f24987]) ).
thf(f44930,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_312 ),
inference(extensionality_resolution,[],[f51,f24987]) ).
thf(f44933,plain,
( spl2_474
| spl2_475
| spl2_312 ),
inference(avatar_split_clause,[],[f44923,f11565,f25067,f25064]) ).
thf(f44934,plain,
( spl2_456
| spl2_412
| spl2_312 ),
inference(avatar_split_clause,[],[f44930,f11565,f18633,f24656]) ).
thf(f44937,plain,
( spl2_476
| spl2_477
| spl2_312 ),
inference(avatar_split_clause,[],[f44924,f11565,f25074,f25071]) ).
thf(f44945,plain,
( $false
| ~ spl2_8
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f41300,f116]) ).
thf(f44946,plain,
( ~ spl2_8
| spl2_425 ),
inference(avatar_contradiction_clause,[],[f44945]) ).
thf(f45020,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_343 ),
inference(constrained_superposition,[],[f13574,f29]) ).
thf(f45021,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_343 ),
inference(trivial_inequality_removal,[],[f45020]) ).
thf(f45023,plain,
( spl2_355
| spl2_344
| spl2_343 ),
inference(avatar_split_clause,[],[f45021,f13503,f13509,f13619]) ).
thf(f45026,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f57,f13620]) ).
thf(f45028,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f45026]) ).
thf(f45032,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f752,f11183]) ).
thf(f45033,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f160,f11183]) ).
thf(f45034,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f57,f11183]) ).
thf(f45036,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f45032]) ).
thf(f45037,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f45034]) ).
thf(f45039,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f45033]) ).
thf(f45055,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_353 ),
inference(constrained_superposition,[],[f57,f13606]) ).
thf(f45056,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_19
| ~ spl2_88
| ~ spl2_353 ),
inference(constrained_superposition,[],[f44500,f13606]) ).
thf(f45058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f45055]) ).
thf(f45062,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_19
| ~ spl2_88
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f45056]) ).
thf(f45065,plain,
( $false
| ~ spl2_19
| ~ spl2_88
| ~ spl2_353
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f45062,f13620]) ).
thf(f45066,plain,
( ~ spl2_19
| ~ spl2_88
| ~ spl2_353
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f45065]) ).
thf(f45067,plain,
( spl2_342
| spl2_361
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f45058,f13605,f13857,f13499]) ).
thf(f45068,plain,
( spl2_406
| spl2_28
| ~ spl2_295
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f44602,f11425,f11331,f784,f17374]) ).
thf(f45069,plain,
( spl2_291
| spl2_294
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f45036,f11182,f11327,f11304]) ).
thf(f45070,plain,
( spl2_4
| spl2_426
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f45028,f13619,f21519,f88]) ).
thf(f45071,plain,
( spl2_294
| spl2_277
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f45037,f11182,f11152,f11327]) ).
thf(f45080,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1304,f3339]) ).
thf(f45084,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f45080]) ).
thf(f45090,plain,
( spl2_104
| spl2_86
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f45084,f88,f3325,f3434]) ).
thf(f45132,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f85,f6046]) ).
thf(f45135,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f59,f6046]) ).
thf(f45142,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f45135]) ).
thf(f45147,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_68 ),
inference(duplicate_literal_removal,[],[f45132]) ).
thf(f45148,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f45147]) ).
thf(f45170,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f752,f11359]) ).
thf(f45176,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f45170]) ).
thf(f45178,plain,
( spl2_320
| spl2_291
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f45176,f11358,f11304,f12183]) ).
thf(f45186,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_331 ),
inference(constrained_superposition,[],[f57,f12699]) ).
thf(f45190,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f45186]) ).
thf(f45193,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_293
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f45190,f11398]) ).
thf(f45194,plain,
( spl2_317
| spl2_293
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f45193,f12698,f11316,f11672]) ).
thf(f45207,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f59,f11305]) ).
thf(f45221,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f45207]) ).
thf(f45282,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_557 ),
inference(constrained_superposition,[],[f27832,f49]) ).
thf(f45291,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f45282]) ).
thf(f45293,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f85,f11190]) ).
thf(f45302,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f45293]) ).
thf(f45312,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_274
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f45302,f11310]) ).
thf(f45315,plain,
( spl2_423
| spl2_398
| ~ spl2_274
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f45312,f11189,f11129,f16911,f21288]) ).
thf(f45319,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_340 ),
inference(constrained_superposition,[],[f13767,f29]) ).
thf(f45320,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_340 ),
inference(trivial_inequality_removal,[],[f45319]) ).
thf(f45323,plain,
( spl2_341
| spl2_369
| spl2_340 ),
inference(avatar_split_clause,[],[f45320,f13491,f14271,f13495]) ).
thf(f45329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_369 ),
inference(constrained_superposition,[],[f160,f14272]) ).
thf(f45337,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f45329]) ).
thf(f45343,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_542 ),
inference(constrained_superposition,[],[f27676,f29]) ).
thf(f45344,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_542 ),
inference(trivial_inequality_removal,[],[f45343]) ).
thf(f45346,plain,
( spl2_502
| spl2_546
| spl2_542 ),
inference(avatar_split_clause,[],[f45344,f27675,f27698,f25936]) ).
thf(f45399,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_546 ),
inference(constrained_superposition,[],[f57,f31151]) ).
thf(f45403,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_546 ),
inference(trivial_inequality_removal,[],[f45399]) ).
thf(f45427,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_398 ),
inference(constrained_superposition,[],[f16912,f50]) ).
thf(f45429,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_398 ),
inference(constrained_superposition,[],[f16912,f75]) ).
thf(f45431,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_398 ),
inference(constrained_superposition,[],[f16912,f177]) ).
thf(f45433,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f45429]) ).
thf(f45435,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f45431]) ).
thf(f45438,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f45427]) ).
thf(f45479,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_479 ),
inference(constrained_superposition,[],[f59,f25579]) ).
thf(f45490,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_479 ),
inference(trivial_inequality_removal,[],[f45479]) ).
thf(f45600,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_282 ),
inference(constrained_superposition,[],[f1234,f11194]) ).
thf(f45612,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f45600]) ).
thf(f45623,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f59,f11204]) ).
thf(f45629,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f45623]) ).
thf(f45684,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_527
| ~ spl2_557 ),
inference(constrained_superposition,[],[f45291,f26882]) ).
thf(f45690,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_527
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f45684]) ).
thf(f45696,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_39
| ~ spl2_527
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f45690,f3950]) ).
thf(f45699,plain,
( $false
| ~ spl2_39
| spl2_505
| ~ spl2_527
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f45696,f26297]) ).
thf(f45700,plain,
( ~ spl2_39
| spl2_505
| ~ spl2_527
| ~ spl2_557 ),
inference(avatar_contradiction_clause,[],[f45699]) ).
thf(f45704,plain,
( spl2_425
| ~ spl2_7
| ~ spl2_398 ),
inference(avatar_split_clause,[],[f45433,f16911,f112,f21306]) ).
thf(f45705,plain,
( spl2_298
| ~ spl2_11
| ~ spl2_398 ),
inference(avatar_split_clause,[],[f45435,f16911,f198,f11346]) ).
thf(f45706,plain,
( spl2_20
| ~ spl2_478
| spl2_554
| ~ spl2_479 ),
inference(avatar_split_clause,[],[f45490,f25207,f27745,f25204,f262]) ).
thf(f45707,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_28
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f45148,f897]) ).
thf(f45708,plain,
( spl2_429
| spl2_11
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f45337,f14271,f198,f22032]) ).
thf(f45709,plain,
( spl2_331
| spl2_359
| ~ spl2_342
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f45629,f11203,f13499,f13777,f12698]) ).
thf(f45710,plain,
( spl2_347
| spl2_348
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f45612,f11193,f13563,f13560]) ).
thf(f45712,plain,
( ~ spl2_277
| spl2_20
| spl2_330
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f45221,f11304,f12695,f262,f11152]) ).
thf(f45713,plain,
( spl2_562
| spl2_370
| spl2_312 ),
inference(avatar_split_clause,[],[f44925,f11565,f14281,f27886]) ).
thf(f45714,plain,
( spl2_292
| spl2_274
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f45039,f11182,f11129,f11308]) ).
thf(f45715,plain,
( spl2_300
| ~ spl2_10
| ~ spl2_398 ),
inference(avatar_split_clause,[],[f45438,f16911,f122,f11358]) ).
thf(f45716,plain,
( spl2_9
| ~ spl2_7
| spl2_28
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f45707,f1379,f784,f112,f118]) ).
thf(f45718,plain,
( spl2_6
| ~ spl2_4
| spl2_20
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f45142,f1379,f262,f88,f94]) ).
thf(f45720,plain,
( spl2_498
| spl2_4
| ~ spl2_546 ),
inference(avatar_split_clause,[],[f45403,f27698,f88,f25646]) ).
thf(f45733,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f1304,f792]) ).
thf(f45744,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f45733]) ).
thf(f45745,plain,
( spl2_65
| spl2_64
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f45744,f198,f1363,f1366]) ).
thf(f45780,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f752,f21307]) ).
thf(f45787,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f45780]) ).
thf(f45790,plain,
( spl2_291
| spl2_334
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f45787,f21306,f13049,f11304]) ).
thf(f45834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f752,f11347]) ).
thf(f45841,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f45834]) ).
thf(f45844,plain,
( spl2_291
| spl2_333
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f45841,f11346,f12858,f11304]) ).
thf(f45910,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_424 ),
inference(constrained_superposition,[],[f752,f21300]) ).
thf(f45911,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_424 ),
inference(constrained_superposition,[],[f160,f21300]) ).
thf(f45916,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f45910]) ).
thf(f45917,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f45911]) ).
thf(f45919,plain,
( spl2_340
| spl2_426
| ~ spl2_424 ),
inference(avatar_split_clause,[],[f45916,f21299,f21519,f13491]) ).
thf(f45920,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_343
| ~ spl2_424 ),
inference(forward_subsumption_resolution,[],[f45917,f13574]) ).
thf(f46165,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_88
| ~ spl2_546 ),
inference(constrained_superposition,[],[f3333,f31151]) ).
thf(f46174,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_546 ),
inference(trivial_inequality_removal,[],[f46165]) ).
thf(f46401,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_283
| ~ spl2_361 ),
inference(constrained_superposition,[],[f13858,f11197]) ).
thf(f46405,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_283
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f46401]) ).
thf(f46407,plain,
( $false
| ~ spl2_283
| ~ spl2_361
| ~ spl2_370 ),
inference(forward_subsumption_resolution,[],[f46405,f14282]) ).
thf(f46408,plain,
( ~ spl2_283
| ~ spl2_361
| ~ spl2_370 ),
inference(avatar_contradiction_clause,[],[f46407]) ).
thf(f46443,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_343
| ~ spl2_424
| ~ spl2_458 ),
inference(constrained_superposition,[],[f45920,f24674]) ).
thf(f46444,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_426
| ~ spl2_458 ),
inference(constrained_superposition,[],[f21520,f24674]) ).
thf(f46447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_458 ),
inference(constrained_superposition,[],[f57,f24674]) ).
thf(f46448,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_458
| ~ spl2_546 ),
inference(constrained_superposition,[],[f46174,f24674]) ).
thf(f46453,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f46447]) ).
thf(f46454,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_458
| ~ spl2_546 ),
inference(trivial_inequality_removal,[],[f46448]) ).
thf(f46455,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_343
| ~ spl2_424
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f46443]) ).
thf(f46456,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_426
| ~ spl2_458 ),
inference(trivial_inequality_removal,[],[f46444]) ).
thf(f46458,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_342
| ~ spl2_458 ),
inference(forward_subsumption_resolution,[],[f46453,f13575]) ).
thf(f46459,plain,
( $false
| ~ spl2_88
| ~ spl2_355
| ~ spl2_458
| ~ spl2_546 ),
inference(forward_subsumption_resolution,[],[f46454,f13620]) ).
thf(f46460,plain,
( ~ spl2_88
| ~ spl2_355
| ~ spl2_458
| ~ spl2_546 ),
inference(avatar_contradiction_clause,[],[f46459]) ).
thf(f46461,plain,
( $false
| spl2_343
| ~ spl2_424
| ~ spl2_458
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f46455,f25453]) ).
thf(f46462,plain,
( spl2_343
| ~ spl2_424
| ~ spl2_458
| ~ spl2_491 ),
inference(avatar_contradiction_clause,[],[f46461]) ).
thf(f46463,plain,
( $false
| ~ spl2_426
| ~ spl2_458
| ~ spl2_546 ),
inference(forward_subsumption_resolution,[],[f46456,f31151]) ).
thf(f46464,plain,
( ~ spl2_426
| ~ spl2_458
| ~ spl2_546 ),
inference(avatar_contradiction_clause,[],[f46463]) ).
thf(f46465,plain,
( spl2_544
| spl2_342
| ~ spl2_458 ),
inference(avatar_split_clause,[],[f46458,f24673,f13499,f27686]) ).
cnf(s2,plain,
( ~ spl2_4
| spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f96]) ).
cnf(s3,plain,
( ~ spl2_7
| spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f120]) ).
cnf(s4,plain,
( spl2_5
| spl2_6
| ~ spl2_10 ),
inference(sat_conversion,[],[f124]) ).
cnf(s6,plain,
( ~ spl2_11
| spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f210]) ).
cnf(s7,plain,
( spl2_15
| spl2_16
| ~ spl2_17 ),
inference(sat_conversion,[],[f220]) ).
cnf(s8,plain,
( spl2_4
| spl2_10
| spl2_11
| spl2_17 ),
inference(sat_conversion,[],[f237]) ).
cnf(s10,plain,
( spl2_11
| spl2_19 ),
inference(sat_conversion,[],[f250]) ).
cnf(s11,plain,
( ~ spl2_10
| ~ spl2_13
| spl2_20 ),
inference(sat_conversion,[],[f264]) ).
cnf(s12,plain,
( spl2_21
| spl2_22
| ~ spl2_23 ),
inference(sat_conversion,[],[f338]) ).
cnf(s13,plain,
( spl2_15
| spl2_16
| ~ spl2_24 ),
inference(sat_conversion,[],[f342]) ).
cnf(s14,plain,
( spl2_20
| spl2_24 ),
inference(sat_conversion,[],[f348]) ).
cnf(s19,plain,
( spl2_11
| spl2_29 ),
inference(sat_conversion,[],[f793]) ).
cnf(s27,plain,
( ~ spl2_5
| spl2_17
| ~ spl2_20
| ~ spl2_28
| spl2_37 ),
inference(sat_conversion,[],[f898]) ).
cnf(s28,plain,
( spl2_17
| spl2_29 ),
inference(sat_conversion,[],[f901]) ).
cnf(s32,plain,
( ~ spl2_13
| spl2_17
| spl2_43 ),
inference(sat_conversion,[],[f926]) ).
cnf(s36,plain,
( ~ spl2_20
| ~ spl2_39
| spl2_46 ),
inference(sat_conversion,[],[f945]) ).
cnf(s38,plain,
( spl2_17
| spl2_47 ),
inference(sat_conversion,[],[f950]) ).
cnf(s54,plain,
( spl2_4
| ~ spl2_16
| ~ spl2_19
| spl2_59 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s55,plain,
( ~ spl2_16
| spl2_60
| spl2_61 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s58,plain,
( spl2_17
| spl2_39 ),
inference(sat_conversion,[],[f1369]) ).
cnf(s65,plain,
( spl2_4
| spl2_11
| ~ spl2_15
| spl2_71 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s68,plain,
( spl2_4
| spl2_11
| ~ spl2_15
| spl2_74 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s70,plain,
( ~ spl2_5
| spl2_20
| spl2_28 ),
inference(sat_conversion,[],[f1411]) ).
cnf(s71,plain,
( spl2_17
| spl2_60 ),
inference(sat_conversion,[],[f1417]) ).
cnf(s73,plain,
( spl2_28
| spl2_68 ),
inference(sat_conversion,[],[f1426]) ).
cnf(s77,plain,
( ~ spl2_19
| spl2_60 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s78,plain,
( spl2_17
| ~ spl2_28
| spl2_31 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s79,plain,
( spl2_47
| ~ spl2_60 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s80,plain,
( ~ spl2_11
| spl2_20
| spl2_77 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s81,plain,
( ~ spl2_5
| spl2_20
| ~ spl2_60
| spl2_78 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s85,plain,
( ~ spl2_11
| spl2_15
| ~ spl2_17
| spl2_32 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s86,plain,
( ~ spl2_28
| ~ spl2_60
| spl2_78 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s88,plain,
( spl2_10
| spl2_32 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s90,plain,
( spl2_17
| ~ spl2_20
| spl2_73 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s92,plain,
( spl2_4
| ~ spl2_28
| ~ spl2_32
| ~ spl2_39 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s96,plain,
( spl2_60
| ~ spl2_64
| spl2_81 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s138,plain,
( spl2_60
| ~ spl2_63
| spl2_82 ),
inference(sat_conversion,[],[f2377]) ).
cnf(s139,plain,
( ~ spl2_14
| spl2_60
| spl2_83 ),
inference(sat_conversion,[],[f2645]) ).
cnf(s142,plain,
( spl2_28
| ~ spl2_46
| spl2_85 ),
inference(sat_conversion,[],[f3323]) ).
cnf(s147,plain,
( spl2_4
| spl2_91 ),
inference(sat_conversion,[],[f3347]) ).
cnf(s161,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_28
| spl2_102 ),
inference(sat_conversion,[],[f3402]) ).
cnf(s166,plain,
( spl2_4
| spl2_94 ),
inference(sat_conversion,[],[f3417]) ).
cnf(s167,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_18
| spl2_19
| spl2_86 ),
inference(sat_conversion,[],[f3432]) ).
cnf(s173,plain,
( spl2_88
| ~ spl2_94 ),
inference(sat_conversion,[],[f3490]) ).
cnf(s179,plain,
( ~ spl2_4
| ~ spl2_11
| ~ spl2_17
| spl2_86 ),
inference(sat_conversion,[],[f3539]) ).
cnf(s180,plain,
( ~ spl2_4
| ~ spl2_11
| ~ spl2_17
| spl2_92 ),
inference(sat_conversion,[],[f3540]) ).
cnf(s185,plain,
( ~ spl2_13
| spl2_102 ),
inference(sat_conversion,[],[f3701]) ).
cnf(s188,plain,
( ~ spl2_90
| spl2_96 ),
inference(sat_conversion,[],[f3798]) ).
cnf(s196,plain,
( ~ spl2_20
| ~ spl2_60
| spl2_73 ),
inference(sat_conversion,[],[f3897]) ).
cnf(s219,plain,
( ~ spl2_28
| ~ spl2_32
| ~ spl2_66 ),
inference(sat_conversion,[],[f4069]) ).
cnf(s224,plain,
( spl2_43
| ~ spl2_73 ),
inference(sat_conversion,[],[f4122]) ).
cnf(s225,plain,
( ~ spl2_28
| ~ spl2_73
| ~ spl2_94 ),
inference(sat_conversion,[],[f4124]) ).
cnf(s228,plain,
( ~ spl2_20
| ~ spl2_32
| ~ spl2_78 ),
inference(sat_conversion,[],[f4163]) ).
cnf(s229,plain,
( ~ spl2_39
| spl2_60 ),
inference(sat_conversion,[],[f4167]) ).
cnf(s232,plain,
( ~ spl2_28
| spl2_37
| ~ spl2_47
| ~ spl2_83 ),
inference(sat_conversion,[],[f4335]) ).
cnf(s234,plain,
( ~ spl2_43
| spl2_46 ),
inference(sat_conversion,[],[f4352]) ).
cnf(s235,plain,
( ~ spl2_4
| ~ spl2_85
| spl2_111 ),
inference(sat_conversion,[],[f4367]) ).
cnf(s236,plain,
( ~ spl2_11
| spl2_39
| ~ spl2_104 ),
inference(sat_conversion,[],[f4377]) ).
cnf(s246,plain,
( ~ spl2_13
| ~ spl2_46
| ~ spl2_96
| spl2_105 ),
inference(sat_conversion,[],[f5112]) ).
cnf(s296,plain,
( ~ spl2_4
| ~ spl2_7
| spl2_94
| ~ spl2_96
| spl2_124 ),
inference(sat_conversion,[],[f6162]) ).
cnf(s301,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_11
| ~ spl2_93 ),
inference(sat_conversion,[],[f6171]) ).
cnf(s335,plain,
( ~ spl2_4
| ~ spl2_15
| ~ spl2_68 ),
inference(sat_conversion,[],[f6474]) ).
cnf(s336,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_63
| ~ spl2_68 ),
inference(sat_conversion,[],[f6476]) ).
cnf(s402,plain,
( ~ spl2_25
| ~ spl2_88
| spl2_164 ),
inference(sat_conversion,[],[f7832]) ).
cnf(s437,plain,
( ~ spl2_114
| spl2_164 ),
inference(sat_conversion,[],[f7940]) ).
cnf(s750,plain,
( spl2_270
| ~ spl2_271 ),
inference(sat_conversion,[],[f11228]) ).
cnf(s757,plain,
( ~ spl2_32
| ~ spl2_272
| ~ spl2_279
| spl2_293 ),
inference(sat_conversion,[],[f11318]) ).
cnf(s764,plain,
( ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| ~ spl2_279
| spl2_289
| spl2_292 ),
inference(sat_conversion,[],[f11340]) ).
cnf(s779,plain,
( ~ spl2_96
| spl2_277
| ~ spl2_278
| ~ spl2_295
| spl2_306 ),
inference(sat_conversion,[],[f11419]) ).
cnf(s784,plain,
( spl2_272
| spl2_277 ),
inference(sat_conversion,[],[f11445]) ).
cnf(s790,plain,
( spl2_274
| spl2_296 ),
inference(sat_conversion,[],[f11492]) ).
cnf(s792,plain,
( spl2_270
| ~ spl2_296 ),
inference(sat_conversion,[],[f11523]) ).
cnf(s798,plain,
( ~ spl2_55
| spl2_293
| spl2_299
| spl2_312 ),
inference(sat_conversion,[],[f11567]) ).
cnf(s807,plain,
( spl2_302
| spl2_308
| spl2_317 ),
inference(sat_conversion,[],[f11680]) ).
cnf(s810,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_295
| spl2_302 ),
inference(sat_conversion,[],[f11683]) ).
cnf(s814,plain,
( ~ spl2_32
| ~ spl2_91
| spl2_295
| spl2_302 ),
inference(sat_conversion,[],[f11692]) ).
cnf(s821,plain,
( spl2_25
| ~ spl2_287
| ~ spl2_296 ),
inference(sat_conversion,[],[f11833]) ).
cnf(s823,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_287
| ~ spl2_296 ),
inference(sat_conversion,[],[f11851]) ).
cnf(s831,plain,
( spl2_7
| ~ spl2_91
| spl2_114
| ~ spl2_287 ),
inference(sat_conversion,[],[f11871]) ).
cnf(s838,plain,
( spl2_7
| ~ spl2_32
| ~ spl2_88
| ~ spl2_287 ),
inference(sat_conversion,[],[f11882]) ).
cnf(s847,plain,
( spl2_270
| ~ spl2_272 ),
inference(sat_conversion,[],[f11914]) ).
cnf(s849,plain,
( ~ spl2_90
| ~ spl2_272
| spl2_274 ),
inference(sat_conversion,[],[f11917]) ).
cnf(s851,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_272
| spl2_274 ),
inference(sat_conversion,[],[f11920]) ).
cnf(s853,plain,
( spl2_80
| ~ spl2_271
| ~ spl2_289 ),
inference(sat_conversion,[],[f12052]) ).
cnf(s854,plain,
( ~ spl2_278
| ~ spl2_289
| spl2_291 ),
inference(sat_conversion,[],[f12058]) ).
cnf(s855,plain,
( spl2_39
| ~ spl2_272
| ~ spl2_289 ),
inference(sat_conversion,[],[f12067]) ).
cnf(s870,plain,
( ~ spl2_15
| ~ spl2_17
| spl2_80
| ~ spl2_289 ),
inference(sat_conversion,[],[f12100]) ).
cnf(s881,plain,
( ~ spl2_15
| ~ spl2_96
| ~ spl2_102
| spl2_289
| ~ spl2_300
| spl2_319 ),
inference(sat_conversion,[],[f12180]) ).
cnf(s884,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_274
| ~ spl2_300 ),
inference(sat_conversion,[],[f12186]) ).
cnf(s885,plain,
( ~ spl2_65
| spl2_287
| spl2_289
| ~ spl2_300
| spl2_320 ),
inference(sat_conversion,[],[f12188]) ).
cnf(s890,plain,
( ~ spl2_102
| spl2_289
| ~ spl2_300
| spl2_320 ),
inference(sat_conversion,[],[f12196]) ).
cnf(s891,plain,
( ~ spl2_32
| ~ spl2_91
| spl2_274
| ~ spl2_300 ),
inference(sat_conversion,[],[f12197]) ).
cnf(s898,plain,
( spl2_23
| spl2_60
| ~ spl2_312 ),
inference(sat_conversion,[],[f12343]) ).
cnf(s915,plain,
( ~ spl2_11
| ~ spl2_13
| spl2_80
| spl2_287
| ~ spl2_312 ),
inference(sat_conversion,[],[f12374]) ).
cnf(s930,plain,
( ~ spl2_90
| spl2_293
| spl2_295 ),
inference(sat_conversion,[],[f12479]) ).
cnf(s931,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_293
| spl2_295 ),
inference(sat_conversion,[],[f12480]) ).
cnf(s940,plain,
( ~ spl2_13
| ~ spl2_295
| ~ spl2_308 ),
inference(sat_conversion,[],[f12627]) ).
cnf(s952,plain,
( ~ spl2_17
| spl2_298
| ~ spl2_330 ),
inference(sat_conversion,[],[f12733]) ).
cnf(s955,plain,
( ~ spl2_62
| spl2_287
| spl2_317
| ~ spl2_331 ),
inference(sat_conversion,[],[f12780]) ).
cnf(s967,plain,
( spl2_60
| ~ spl2_298 ),
inference(sat_conversion,[],[f12847]) ).
cnf(s979,plain,
( ~ spl2_18
| spl2_274
| ~ spl2_295 ),
inference(sat_conversion,[],[f13012]) ).
cnf(s980,plain,
( ~ spl2_18
| spl2_19
| ~ spl2_296 ),
inference(sat_conversion,[],[f13015]) ).
cnf(s983,plain,
( ~ spl2_11
| ~ spl2_18
| spl2_274 ),
inference(sat_conversion,[],[f13023]) ).
cnf(s986,plain,
( ~ spl2_11
| ~ spl2_18
| spl2_291 ),
inference(sat_conversion,[],[f13031]) ).
cnf(s993,plain,
( spl2_9
| ~ spl2_13
| ~ spl2_18 ),
inference(sat_conversion,[],[f13044]) ).
cnf(s1015,plain,
( spl2_270
| ~ spl2_280 ),
inference(sat_conversion,[],[f13153]) ).
cnf(s1025,plain,
( ~ spl2_5
| ~ spl2_62
| ~ spl2_280
| spl2_287
| ~ spl2_296
| spl2_331 ),
inference(sat_conversion,[],[f13173]) ).
cnf(s1048,plain,
( ~ spl2_17
| ~ spl2_303
| spl2_313 ),
inference(sat_conversion,[],[f13372]) ).
cnf(s1068,plain,
( ~ spl2_62
| ~ spl2_283
| spl2_345 ),
inference(sat_conversion,[],[f13531]) ).
cnf(s1078,plain,
( spl2_343
| spl2_355 ),
inference(sat_conversion,[],[f13623]) ).
cnf(s1089,plain,
( ~ spl2_5
| ~ spl2_62
| ~ spl2_284
| spl2_287
| spl2_331
| ~ spl2_355 ),
inference(sat_conversion,[],[f13734]) ).
cnf(s1090,plain,
( ~ spl2_284
| spl2_293
| spl2_339 ),
inference(sat_conversion,[],[f13735]) ).
cnf(s1095,plain,
( ~ spl2_5
| ~ spl2_62
| ~ spl2_83
| ~ spl2_284
| spl2_331 ),
inference(sat_conversion,[],[f13741]) ).
cnf(s1099,plain,
( ~ spl2_17
| spl2_353
| ~ spl2_359 ),
inference(sat_conversion,[],[f13803]) ).
cnf(s1104,plain,
( spl2_60
| ~ spl2_353 ),
inference(sat_conversion,[],[f13862]) ).
cnf(s1107,plain,
( ~ spl2_102
| spl2_341
| ~ spl2_353
| spl2_361 ),
inference(sat_conversion,[],[f13866]) ).
cnf(s1113,plain,
( ~ spl2_96
| spl2_342
| spl2_343 ),
inference(sat_conversion,[],[f13874]) ).
cnf(s1115,plain,
( spl2_342
| spl2_347 ),
inference(sat_conversion,[],[f13880]) ).
cnf(s1116,plain,
( ~ spl2_90
| spl2_343
| ~ spl2_347 ),
inference(sat_conversion,[],[f13895]) ).
cnf(s1120,plain,
( ~ spl2_306
| ~ spl2_316
| spl2_331 ),
inference(sat_conversion,[],[f14019]) ).
cnf(s1121,plain,
( ~ spl2_306
| ~ spl2_309
| spl2_313 ),
inference(sat_conversion,[],[f14021]) ).
cnf(s1122,plain,
( spl2_300
| spl2_316 ),
inference(sat_conversion,[],[f14026]) ).
cnf(s1134,plain,
( ~ spl2_90
| ~ spl2_290
| spl2_295 ),
inference(sat_conversion,[],[f14082]) ).
cnf(s1137,plain,
( spl2_288
| spl2_295 ),
inference(sat_conversion,[],[f14098]) ).
cnf(s1138,plain,
( spl2_298
| spl2_309 ),
inference(sat_conversion,[],[f14107]) ).
cnf(s1149,plain,
( spl2_60
| ~ spl2_313 ),
inference(sat_conversion,[],[f14246]) ).
cnf(s1150,plain,
( ~ spl2_102
| spl2_312
| ~ spl2_313
| spl2_367 ),
inference(sat_conversion,[],[f14247]) ).
cnf(s1158,plain,
( ~ spl2_83
| ~ spl2_94
| ~ spl2_320 ),
inference(sat_conversion,[],[f14264]) ).
cnf(s1161,plain,
( ~ spl2_102
| spl2_341
| ~ spl2_343
| spl2_369 ),
inference(sat_conversion,[],[f14276]) ).
cnf(s1162,plain,
( spl2_290
| spl2_293 ),
inference(sat_conversion,[],[f14277]) ).
cnf(s1171,plain,
( ~ spl2_83
| ~ spl2_94
| ~ spl2_317 ),
inference(sat_conversion,[],[f14300]) ).
cnf(s1173,plain,
( spl2_340
| spl2_369 ),
inference(sat_conversion,[],[f14303]) ).
cnf(s1176,plain,
( spl2_308
| spl2_370 ),
inference(sat_conversion,[],[f14310]) ).
cnf(s1181,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_277
| ~ spl2_281
| ~ spl2_288
| spl2_330 ),
inference(sat_conversion,[],[f14315]) ).
cnf(s1183,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_277
| ~ spl2_281
| ~ spl2_288
| spl2_290
| ~ spl2_316 ),
inference(sat_conversion,[],[f14318]) ).
cnf(s1189,plain,
( ~ spl2_17
| ~ spl2_299
| spl2_342 ),
inference(sat_conversion,[],[f14437]) ).
cnf(s1193,plain,
( spl2_274
| ~ spl2_281
| ~ spl2_299 ),
inference(sat_conversion,[],[f14445]) ).
cnf(s1197,plain,
( ~ spl2_68
| ~ spl2_299
| spl2_308 ),
inference(sat_conversion,[],[f14458]) ).
cnf(s1198,plain,
( spl2_68
| ~ spl2_282
| ~ spl2_299 ),
inference(sat_conversion,[],[f14464]) ).
cnf(s1202,plain,
( spl2_23
| spl2_60
| ~ spl2_299 ),
inference(sat_conversion,[],[f14472]) ).
cnf(s1203,plain,
( spl2_7
| ~ spl2_32
| ~ spl2_88
| ~ spl2_299 ),
inference(sat_conversion,[],[f14475]) ).
cnf(s1205,plain,
( spl2_25
| spl2_117
| ~ spl2_299 ),
inference(sat_conversion,[],[f14480]) ).
cnf(s1206,plain,
( spl2_7
| spl2_25
| ~ spl2_299 ),
inference(sat_conversion,[],[f14482]) ).
cnf(s1207,plain,
( spl2_7
| ~ spl2_91
| spl2_114
| ~ spl2_299 ),
inference(sat_conversion,[],[f14483]) ).
cnf(s1208,plain,
( spl2_7
| ~ spl2_88
| spl2_116
| ~ spl2_299 ),
inference(sat_conversion,[],[f14484]) ).
cnf(s1209,plain,
( spl2_80
| spl2_118
| ~ spl2_299 ),
inference(sat_conversion,[],[f14486]) ).
cnf(s1210,plain,
( spl2_7
| ~ spl2_90
| ~ spl2_94
| ~ spl2_299 ),
inference(sat_conversion,[],[f14489]) ).
cnf(s1211,plain,
( spl2_60
| ~ spl2_62
| ~ spl2_299 ),
inference(sat_conversion,[],[f14490]) ).
cnf(s1213,plain,
( spl2_23
| spl2_80
| ~ spl2_299 ),
inference(sat_conversion,[],[f14493]) ).
cnf(s1215,plain,
( ~ spl2_11
| ~ spl2_13
| spl2_80
| ~ spl2_299 ),
inference(sat_conversion,[],[f14498]) ).
cnf(s1229,plain,
( ~ spl2_105
| spl2_293 ),
inference(sat_conversion,[],[f14620]) ).
cnf(s1231,plain,
( ~ spl2_285
| spl2_290
| spl2_331
| ~ spl2_342
| ~ spl2_374 ),
inference(sat_conversion,[],[f14621]) ).
cnf(s1233,plain,
( ~ spl2_93
| ~ spl2_342
| ~ spl2_343
| spl2_353 ),
inference(sat_conversion,[],[f14626]) ).
cnf(s1234,plain,
( ~ spl2_93
| spl2_341
| ~ spl2_342
| ~ spl2_343
| spl2_353 ),
inference(sat_conversion,[],[f14630]) ).
cnf(s1236,plain,
( ~ spl2_96
| spl2_274
| spl2_277 ),
inference(sat_conversion,[],[f14632]) ).
cnf(s1237,plain,
( ~ spl2_4
| ~ spl2_11
| spl2_13
| ~ spl2_17 ),
inference(sat_conversion,[],[f14634]) ).
cnf(s1239,plain,
( ~ spl2_4
| spl2_13
| spl2_39
| ~ spl2_68 ),
inference(sat_conversion,[],[f14637]) ).
cnf(s1244,plain,
( spl2_27
| ~ spl2_85
| ~ spl2_96 ),
inference(sat_conversion,[],[f14652]) ).
cnf(s1246,plain,
( spl2_105
| ~ spl2_377 ),
inference(sat_conversion,[],[f14662]) ).
cnf(s1257,plain,
( ~ spl2_6
| ~ spl2_11
| ~ spl2_17 ),
inference(sat_conversion,[],[f14762]) ).
cnf(s1261,plain,
( ~ spl2_32
| ~ spl2_83
| ~ spl2_94
| spl2_377 ),
inference(sat_conversion,[],[f14783]) ).
cnf(s1265,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_68
| ~ spl2_89 ),
inference(sat_conversion,[],[f14797]) ).
cnf(s1270,plain,
( ~ spl2_102
| spl2_271
| ~ spl2_274
| spl2_289 ),
inference(sat_conversion,[],[f14810]) ).
cnf(s1271,plain,
( ~ spl2_23
| ~ spl2_307
| spl2_313 ),
inference(sat_conversion,[],[f14811]) ).
cnf(s1272,plain,
( ~ spl2_281
| ~ spl2_291
| ~ spl2_307 ),
inference(sat_conversion,[],[f14812]) ).
cnf(s1275,plain,
( ~ spl2_4
| ~ spl2_17
| ~ spl2_68
| spl2_102 ),
inference(sat_conversion,[],[f14815]) ).
cnf(s1281,plain,
( ~ spl2_18
| ~ spl2_274
| spl2_308 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s1283,plain,
( spl2_7
| ~ spl2_11
| ~ spl2_18 ),
inference(sat_conversion,[],[f14924]) ).
cnf(s1286,plain,
( spl2_7
| ~ spl2_18
| ~ spl2_68 ),
inference(sat_conversion,[],[f14928]) ).
cnf(s1287,plain,
( ~ spl2_18
| ~ spl2_39
| ~ spl2_377 ),
inference(sat_conversion,[],[f14929]) ).
cnf(s1288,plain,
( ~ spl2_18
| spl2_295
| ~ spl2_343 ),
inference(sat_conversion,[],[f14930]) ).
cnf(s1293,plain,
( spl2_4
| ~ spl2_17
| ~ spl2_18 ),
inference(sat_conversion,[],[f14937]) ).
cnf(s1298,plain,
( spl2_7
| ~ spl2_18
| ~ spl2_32
| ~ spl2_88 ),
inference(sat_conversion,[],[f14940]) ).
cnf(s1300,plain,
( spl2_7
| ~ spl2_18
| ~ spl2_90
| ~ spl2_94 ),
inference(sat_conversion,[],[f14941]) ).
cnf(s1317,plain,
( ~ spl2_9
| ~ spl2_274 ),
inference(sat_conversion,[],[f15014]) ).
cnf(s1318,plain,
( ~ spl2_9
| ~ spl2_96
| spl2_124 ),
inference(sat_conversion,[],[f15019]) ).
cnf(s1321,plain,
( spl2_20
| ~ spl2_22 ),
inference(sat_conversion,[],[f15050]) ).
cnf(s1322,plain,
( ~ spl2_22
| spl2_28 ),
inference(sat_conversion,[],[f15051]) ).
cnf(s1323,plain,
( spl2_11
| ~ spl2_39
| ~ spl2_90 ),
inference(sat_conversion,[],[f15062]) ).
cnf(s1325,plain,
( spl2_11
| ~ spl2_32
| ~ spl2_39
| ~ spl2_88 ),
inference(sat_conversion,[],[f15064]) ).
cnf(s1328,plain,
( ~ spl2_282
| ~ spl2_293
| ~ spl2_302
| spl2_346
| spl2_347 ),
inference(sat_conversion,[],[f15067]) ).
cnf(s1332,plain,
( ~ spl2_289
| ~ spl2_291
| spl2_308 ),
inference(sat_conversion,[],[f15161]) ).
cnf(s1333,plain,
( spl2_11
| ~ spl2_274
| ~ spl2_289 ),
inference(sat_conversion,[],[f15163]) ).
cnf(s1338,plain,
( spl2_23
| spl2_60
| ~ spl2_289 ),
inference(sat_conversion,[],[f15174]) ).
cnf(s1340,plain,
( spl2_23
| spl2_80
| ~ spl2_289 ),
inference(sat_conversion,[],[f15177]) ).
cnf(s1349,plain,
( ~ spl2_11
| spl2_389 ),
inference(sat_conversion,[],[f15199]) ).
cnf(s1351,plain,
( ~ spl2_11
| spl2_93
| spl2_94 ),
inference(sat_conversion,[],[f15201]) ).
cnf(s1353,plain,
( spl2_18
| spl2_28
| spl2_68 ),
inference(sat_conversion,[],[f15210]) ).
cnf(s1355,plain,
( spl2_17
| ~ spl2_28
| spl2_78 ),
inference(sat_conversion,[],[f15222]) ).
cnf(s1358,plain,
( ~ spl2_384
| spl2_387 ),
inference(sat_conversion,[],[f15250]) ).
cnf(s1363,plain,
( spl2_17
| spl2_22
| ~ spl2_23
| ~ spl2_96 ),
inference(sat_conversion,[],[f15336]) ).
cnf(s1368,plain,
( ~ spl2_21
| spl2_47 ),
inference(sat_conversion,[],[f15375]) ).
cnf(s1370,plain,
( ~ spl2_21
| spl2_60 ),
inference(sat_conversion,[],[f15377]) ).
cnf(s1371,plain,
( spl2_17
| ~ spl2_21
| ~ spl2_32
| spl2_377 ),
inference(sat_conversion,[],[f15378]) ).
cnf(s1372,plain,
( ~ spl2_37
| spl2_340 ),
inference(sat_conversion,[],[f15402]) ).
cnf(s1373,plain,
( ~ spl2_37
| spl2_308 ),
inference(sat_conversion,[],[f15406]) ).
cnf(s1375,plain,
( ~ spl2_37
| spl2_291 ),
inference(sat_conversion,[],[f15418]) ).
cnf(s1380,plain,
( spl2_17
| ~ spl2_32
| ~ spl2_272
| ~ spl2_298 ),
inference(sat_conversion,[],[f15449]) ).
cnf(s1381,plain,
( spl2_302
| spl2_331 ),
inference(sat_conversion,[],[f15460]) ).
cnf(s1385,plain,
( ~ spl2_110
| spl2_343 ),
inference(sat_conversion,[],[f15556]) ).
cnf(s1387,plain,
( spl2_299
| ~ spl2_355
| ~ spl2_384 ),
inference(sat_conversion,[],[f15577]) ).
cnf(s1391,plain,
( ~ spl2_73
| ~ spl2_290
| ~ spl2_370 ),
inference(sat_conversion,[],[f15598]) ).
cnf(s1393,plain,
( ~ spl2_278
| ~ spl2_293
| ~ spl2_330 ),
inference(sat_conversion,[],[f15649]) ).
cnf(s1403,plain,
( ~ spl2_19
| ~ spl2_298
| ~ spl2_334 ),
inference(sat_conversion,[],[f15746]) ).
cnf(s1406,plain,
( ~ spl2_285
| ~ spl2_303
| ~ spl2_342 ),
inference(sat_conversion,[],[f15775]) ).
cnf(s1407,plain,
( ~ spl2_277
| ~ spl2_281
| ~ spl2_303 ),
inference(sat_conversion,[],[f15777]) ).
cnf(s1408,plain,
( ~ spl2_32
| ~ spl2_300
| ~ spl2_334 ),
inference(sat_conversion,[],[f15797]) ).
cnf(s1414,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_343
| ~ spl2_346 ),
inference(sat_conversion,[],[f15832]) ).
cnf(s1419,plain,
( ~ spl2_78
| spl2_343
| ~ spl2_369 ),
inference(sat_conversion,[],[f15841]) ).
cnf(s1420,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_295
| ~ spl2_331 ),
inference(sat_conversion,[],[f15842]) ).
cnf(s1421,plain,
( ~ spl2_32
| ~ spl2_91
| spl2_295
| ~ spl2_331 ),
inference(sat_conversion,[],[f15843]) ).
cnf(s1429,plain,
( ~ spl2_282
| ~ spl2_293
| ~ spl2_359 ),
inference(sat_conversion,[],[f15941]) ).
cnf(s1430,plain,
( ~ spl2_39
| ~ spl2_300
| ~ spl2_332 ),
inference(sat_conversion,[],[f15958]) ).
cnf(s1434,plain,
( ~ spl2_11
| ~ spl2_117
| ~ spl2_274
| ~ spl2_309 ),
inference(sat_conversion,[],[f16014]) ).
cnf(s1437,plain,
( ~ spl2_282
| ~ spl2_295
| ~ spl2_375 ),
inference(sat_conversion,[],[f16095]) ).
cnf(s1438,plain,
( ~ spl2_32
| ~ spl2_39
| spl2_342
| ~ spl2_353 ),
inference(sat_conversion,[],[f16098]) ).
cnf(s1444,plain,
( ~ spl2_32
| ~ spl2_39
| spl2_342
| ~ spl2_369 ),
inference(sat_conversion,[],[f16108]) ).
cnf(s1446,plain,
( spl2_346
| spl2_374 ),
inference(sat_conversion,[],[f16111]) ).
cnf(s1449,plain,
( ~ spl2_39
| ~ spl2_331
| ~ spl2_366 ),
inference(sat_conversion,[],[f16191]) ).
cnf(s1483,plain,
( ~ spl2_274
| ~ spl2_277
| ~ spl2_278
| ~ spl2_397 ),
inference(sat_conversion,[],[f16582]) ).
cnf(s1499,plain,
( ~ spl2_280
| ~ spl2_298
| ~ spl2_366 ),
inference(sat_conversion,[],[f16772]) ).
cnf(s1502,plain,
( ~ spl2_386
| spl2_388 ),
inference(sat_conversion,[],[f16843]) ).
cnf(s1503,plain,
( ~ spl2_288
| spl2_312
| ~ spl2_386 ),
inference(sat_conversion,[],[f16844]) ).
cnf(s1509,plain,
( spl2_31
| ~ spl2_78 ),
inference(sat_conversion,[],[f16908]) ).
cnf(s1512,plain,
( ~ spl2_4
| ~ spl2_274
| ~ spl2_277
| spl2_398 ),
inference(sat_conversion,[],[f16913]) ).
cnf(s1524,plain,
( spl2_18
| spl2_20
| spl2_28
| ~ spl2_92 ),
inference(sat_conversion,[],[f16938]) ).
cnf(s1525,plain,
( spl2_18
| spl2_20
| spl2_28
| ~ spl2_86 ),
inference(sat_conversion,[],[f16941]) ).
cnf(s1532,plain,
( ~ spl2_24
| spl2_346
| ~ spl2_357 ),
inference(sat_conversion,[],[f17005]) ).
cnf(s1533,plain,
( ~ spl2_6
| ~ spl2_342
| ~ spl2_343 ),
inference(sat_conversion,[],[f17006]) ).
cnf(s1534,plain,
( ~ spl2_302
| spl2_346
| ~ spl2_351 ),
inference(sat_conversion,[],[f17007]) ).
cnf(s1535,plain,
( ~ spl2_351
| spl2_353
| ~ spl2_400 ),
inference(sat_conversion,[],[f17011]) ).
cnf(s1540,plain,
( spl2_17
| ~ spl2_96
| ~ spl2_274
| ~ spl2_291
| spl2_328 ),
inference(sat_conversion,[],[f17051]) ).
cnf(s1546,plain,
( spl2_271
| spl2_291 ),
inference(sat_conversion,[],[f17103]) ).
cnf(s1547,plain,
( ~ spl2_60
| ~ spl2_271
| spl2_333 ),
inference(sat_conversion,[],[f17120]) ).
cnf(s1549,plain,
( ~ spl2_32
| ~ spl2_39
| ~ spl2_271
| spl2_277 ),
inference(sat_conversion,[],[f17124]) ).
cnf(s1552,plain,
( spl2_17
| ~ spl2_20
| spl2_73 ),
inference(sat_conversion,[],[f17139]) ).
cnf(s1557,plain,
( ~ spl2_60
| spl2_367
| ~ spl2_370 ),
inference(sat_conversion,[],[f17193]) ).
cnf(s1567,plain,
( ~ spl2_88
| spl2_274
| ~ spl2_280
| ~ spl2_288 ),
inference(sat_conversion,[],[f17361]) ).
cnf(s1568,plain,
( ~ spl2_91
| ~ spl2_280
| spl2_295
| ~ spl2_296 ),
inference(sat_conversion,[],[f17364]) ).
cnf(s1574,plain,
( spl2_17
| ~ spl2_96
| ~ spl2_295
| spl2_307
| ~ spl2_308 ),
inference(sat_conversion,[],[f17377]) ).
cnf(s1591,plain,
( ~ spl2_4
| ~ spl2_293
| ~ spl2_295
| spl2_406 ),
inference(sat_conversion,[],[f17491]) ).
cnf(s1593,plain,
( ~ spl2_278
| ~ spl2_308
| ~ spl2_328 ),
inference(sat_conversion,[],[f17526]) ).
cnf(s1596,plain,
( ~ spl2_11
| spl2_313
| ~ spl2_406 ),
inference(sat_conversion,[],[f17551]) ).
cnf(s1597,plain,
( ~ spl2_271
| ~ spl2_280
| ~ spl2_367 ),
inference(sat_conversion,[],[f17652]) ).
cnf(s1598,plain,
( ~ spl2_20
| ~ spl2_331
| ~ spl2_367 ),
inference(sat_conversion,[],[f17654]) ).
cnf(s1600,plain,
( ~ spl2_83
| ~ spl2_294 ),
inference(sat_conversion,[],[f17672]) ).
cnf(s1602,plain,
( ~ spl2_278
| ~ spl2_293
| ~ spl2_400
| ~ spl2_405 ),
inference(sat_conversion,[],[f17729]) ).
cnf(s1604,plain,
( ~ spl2_31
| spl2_291
| ~ spl2_296 ),
inference(sat_conversion,[],[f17744]) ).
cnf(s1609,plain,
( ~ spl2_104
| spl2_290
| ~ spl2_295 ),
inference(sat_conversion,[],[f17842]) ).
cnf(s1610,plain,
( ~ spl2_283
| ~ spl2_313
| spl2_367 ),
inference(sat_conversion,[],[f17923]) ).
cnf(s1611,plain,
( ~ spl2_283
| spl2_317
| ~ spl2_331 ),
inference(sat_conversion,[],[f17924]) ).
cnf(s1612,plain,
( ~ spl2_283
| ~ spl2_284
| spl2_339 ),
inference(sat_conversion,[],[f17925]) ).
cnf(s1613,plain,
( ~ spl2_280
| ~ spl2_283
| spl2_294 ),
inference(sat_conversion,[],[f17926]) ).
cnf(s1620,plain,
( ~ spl2_282
| ~ spl2_308
| ~ spl2_357 ),
inference(sat_conversion,[],[f17992]) ).
cnf(s1623,plain,
( ~ spl2_282
| ~ spl2_301
| ~ spl2_342
| spl2_407
| spl2_408 ),
inference(sat_conversion,[],[f18010]) ).
cnf(s1625,plain,
( ~ spl2_282
| ~ spl2_301
| ~ spl2_342
| spl2_407 ),
inference(sat_conversion,[],[f18013]) ).
cnf(s1627,plain,
( ~ spl2_270
| ~ spl2_407
| spl2_409 ),
inference(sat_conversion,[],[f18047]) ).
cnf(s1628,plain,
( ~ spl2_334
| ~ spl2_355
| ~ spl2_407 ),
inference(sat_conversion,[],[f18049]) ).
cnf(s1630,plain,
( ~ spl2_88
| ~ spl2_296
| spl2_343
| ~ spl2_407 ),
inference(sat_conversion,[],[f18055]) ).
cnf(s1632,plain,
( ~ spl2_83
| spl2_274
| ~ spl2_407 ),
inference(sat_conversion,[],[f18058]) ).
cnf(s1633,plain,
( ~ spl2_89
| ~ spl2_293
| ~ spl2_308
| ~ spl2_410 ),
inference(sat_conversion,[],[f18062]) ).
cnf(s1636,plain,
( spl2_17
| ~ spl2_32
| ~ spl2_290
| ~ spl2_313 ),
inference(sat_conversion,[],[f18066]) ).
cnf(s1642,plain,
( ~ spl2_111
| ~ spl2_274
| spl2_398 ),
inference(sat_conversion,[],[f18121]) ).
cnf(s1648,plain,
( ~ spl2_270
| ~ spl2_279
| spl2_294 ),
inference(sat_conversion,[],[f18271]) ).
cnf(s1650,plain,
( ~ spl2_88
| ~ spl2_279
| spl2_295
| ~ spl2_296 ),
inference(sat_conversion,[],[f18273]) ).
cnf(s1651,plain,
( spl2_17
| ~ spl2_96
| ~ spl2_340
| ~ spl2_343
| spl2_357 ),
inference(sat_conversion,[],[f18275]) ).
cnf(s1652,plain,
( ~ spl2_20
| ~ spl2_300
| ~ spl2_333 ),
inference(sat_conversion,[],[f18297]) ).
cnf(s1661,plain,
( ~ spl2_111
| ~ spl2_343
| spl2_375 ),
inference(sat_conversion,[],[f18383]) ).
cnf(s1663,plain,
( ~ spl2_4
| ~ spl2_342
| ~ spl2_343
| spl2_375 ),
inference(sat_conversion,[],[f18385]) ).
cnf(s1665,plain,
( ~ spl2_274
| ~ spl2_281
| ~ spl2_406 ),
inference(sat_conversion,[],[f18420]) ).
cnf(s1674,plain,
( ~ spl2_285
| ~ spl2_342
| ~ spl2_365
| spl2_408
| spl2_412 ),
inference(sat_conversion,[],[f18636]) ).
cnf(s1676,plain,
( ~ spl2_285
| ~ spl2_342
| ~ spl2_365
| spl2_412 ),
inference(sat_conversion,[],[f18639]) ).
cnf(s1677,plain,
( spl2_270
| ~ spl2_412 ),
inference(sat_conversion,[],[f18660]) ).
cnf(s1678,plain,
( ~ spl2_68
| ~ spl2_295
| ~ spl2_308
| spl2_406 ),
inference(sat_conversion,[],[f18661]) ).
cnf(s1679,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_288
| ~ spl2_331 ),
inference(sat_conversion,[],[f18663]) ).
cnf(s1689,plain,
( ~ spl2_83
| ~ spl2_94
| spl2_295
| ~ spl2_331 ),
inference(sat_conversion,[],[f18702]) ).
cnf(s1697,plain,
( ~ spl2_278
| ~ spl2_295
| ~ spl2_398 ),
inference(sat_conversion,[],[f18786]) ).
cnf(s1733,plain,
( ~ spl2_60
| spl2_361
| ~ spl2_369 ),
inference(sat_conversion,[],[f19200]) ).
cnf(s1737,plain,
( ~ spl2_333
| ~ spl2_369
| ~ spl2_407 ),
inference(sat_conversion,[],[f19263]) ).
cnf(s1743,plain,
( spl2_313
| spl2_400 ),
inference(sat_conversion,[],[f19271]) ).
cnf(s1744,plain,
( spl2_94
| ~ spl2_295
| spl2_397 ),
inference(sat_conversion,[],[f19272]) ).
cnf(s1751,plain,
( ~ spl2_43
| ~ spl2_290
| spl2_308 ),
inference(sat_conversion,[],[f19333]) ).
cnf(s1752,plain,
( ~ spl2_6
| ~ spl2_274
| ~ spl2_277 ),
inference(sat_conversion,[],[f19348]) ).
cnf(s1763,plain,
( spl2_11
| spl2_18
| spl2_19 ),
inference(sat_conversion,[],[f19404]) ).
cnf(s1772,plain,
( ~ spl2_27
| ~ spl2_274
| ~ spl2_281
| spl2_293 ),
inference(sat_conversion,[],[f19579]) ).
cnf(s1783,plain,
( ~ spl2_285
| ~ spl2_306
| spl2_407 ),
inference(sat_conversion,[],[f19778]) ).
cnf(s1785,plain,
( ~ spl2_300
| ~ spl2_346
| ~ spl2_409 ),
inference(sat_conversion,[],[f19847]) ).
cnf(s1786,plain,
( ~ spl2_298
| ~ spl2_353
| ~ spl2_409 ),
inference(sat_conversion,[],[f19850]) ).
cnf(s1787,plain,
( ~ spl2_279
| ~ spl2_283
| ~ spl2_409 ),
inference(sat_conversion,[],[f19852]) ).
cnf(s1797,plain,
( ~ spl2_346
| spl2_396
| ~ spl2_407 ),
inference(sat_conversion,[],[f20095]) ).
cnf(s1798,plain,
( ~ spl2_353
| spl2_361
| ~ spl2_407 ),
inference(sat_conversion,[],[f20096]) ).
cnf(s1799,plain,
( ~ spl2_283
| spl2_339
| ~ spl2_407 ),
inference(sat_conversion,[],[f20097]) ).
cnf(s1804,plain,
( ~ spl2_281
| ~ spl2_293
| ~ spl2_295
| ~ spl2_382 ),
inference(sat_conversion,[],[f20106]) ).
cnf(s1806,plain,
( ~ spl2_285
| spl2_290
| spl2_331
| ~ spl2_342
| ~ spl2_374 ),
inference(sat_conversion,[],[f20110]) ).
cnf(s1815,plain,
( ~ spl2_96
| ~ spl2_274
| ~ spl2_281
| spl2_293
| spl2_306 ),
inference(sat_conversion,[],[f20121]) ).
cnf(s1821,plain,
( ~ spl2_96
| ~ spl2_285
| spl2_293
| ~ spl2_343
| spl2_351 ),
inference(sat_conversion,[],[f20127]) ).
cnf(s1846,plain,
( ~ spl2_11
| ~ spl2_96
| spl2_277
| ~ spl2_309
| spl2_328 ),
inference(sat_conversion,[],[f20378]) ).
cnf(s1848,plain,
( ~ spl2_17
| ~ spl2_24
| spl2_272
| spl2_300
| ~ spl2_309 ),
inference(sat_conversion,[],[f20380]) ).
cnf(s1851,plain,
( spl2_11
| ~ spl2_20
| ~ spl2_32
| ~ spl2_88 ),
inference(sat_conversion,[],[f20399]) ).
cnf(s1856,plain,
( ~ spl2_32
| ~ spl2_331
| ~ spl2_414 ),
inference(sat_conversion,[],[f20466]) ).
cnf(s1868,plain,
( ~ spl2_18
| ~ spl2_19
| spl2_296 ),
inference(sat_conversion,[],[f20560]) ).
cnf(s1870,plain,
( ~ spl2_18
| spl2_25
| ~ spl2_28 ),
inference(sat_conversion,[],[f20563]) ).
cnf(s1875,plain,
( ~ spl2_7
| ~ spl2_18
| spl2_23 ),
inference(sat_conversion,[],[f20567]) ).
cnf(s1877,plain,
( spl2_7
| ~ spl2_18
| spl2_25 ),
inference(sat_conversion,[],[f20569]) ).
cnf(s1878,plain,
( spl2_11
| ~ spl2_18
| ~ spl2_274 ),
inference(sat_conversion,[],[f20570]) ).
cnf(s1880,plain,
( ~ spl2_7
| ~ spl2_18
| spl2_68 ),
inference(sat_conversion,[],[f20571]) ).
cnf(s1881,plain,
( ~ spl2_18
| spl2_39
| ~ spl2_94 ),
inference(sat_conversion,[],[f20573]) ).
cnf(s1887,plain,
( spl2_18
| spl2_282
| spl2_283 ),
inference(sat_conversion,[],[f20589]) ).
cnf(s1888,plain,
( spl2_18
| spl2_278
| spl2_279 ),
inference(sat_conversion,[],[f20590]) ).
cnf(s1889,plain,
( spl2_18
| spl2_284
| spl2_285 ),
inference(sat_conversion,[],[f20591]) ).
cnf(s1890,plain,
( spl2_18
| spl2_19
| spl2_389 ),
inference(sat_conversion,[],[f20592]) ).
cnf(s1891,plain,
( spl2_18
| spl2_280
| spl2_281 ),
inference(sat_conversion,[],[f20593]) ).
cnf(s1892,plain,
( spl2_4
| ~ spl2_8
| ~ spl2_32
| spl2_124 ),
inference(sat_conversion,[],[f20621]) ).
cnf(s1893,plain,
( ~ spl2_8
| spl2_28 ),
inference(sat_conversion,[],[f20637]) ).
cnf(s1895,plain,
( spl2_11
| ~ spl2_164 ),
inference(sat_conversion,[],[f20660]) ).
cnf(s1909,plain,
( ~ spl2_110
| spl2_295 ),
inference(sat_conversion,[],[f20847]) ).
cnf(s1937,plain,
( ~ spl2_20
| ~ spl2_76
| ~ spl2_94 ),
inference(sat_conversion,[],[f21044]) ).
cnf(s1956,plain,
( spl2_90
| ~ spl2_413 ),
inference(sat_conversion,[],[f21295]) ).
cnf(s1960,plain,
( spl2_410
| spl2_423 ),
inference(sat_conversion,[],[f21303]) ).
cnf(s1968,plain,
( spl2_342
| ~ spl2_346
| spl2_396 ),
inference(sat_conversion,[],[f21315]) ).
cnf(s1970,plain,
( spl2_404
| spl2_424 ),
inference(sat_conversion,[],[f21318]) ).
cnf(s1972,plain,
( spl2_415
| spl2_425 ),
inference(sat_conversion,[],[f21320]) ).
cnf(s1992,plain,
( spl2_88
| ~ spl2_425 ),
inference(sat_conversion,[],[f21415]) ).
cnf(s1996,plain,
( spl2_88
| ~ spl2_423 ),
inference(sat_conversion,[],[f21488]) ).
cnf(s2002,plain,
( spl2_88
| ~ spl2_424 ),
inference(sat_conversion,[],[f21523]) ).
cnf(s2003,plain,
( spl2_342
| ~ spl2_424
| spl2_426 ),
inference(sat_conversion,[],[f21524]) ).
cnf(s2009,plain,
( ~ spl2_285
| ~ spl2_307
| ~ spl2_340 ),
inference(sat_conversion,[],[f21720]) ).
cnf(s2010,plain,
( ~ spl2_68
| ~ spl2_307
| spl2_423 ),
inference(sat_conversion,[],[f21721]) ).
cnf(s2018,plain,
( ~ spl2_277
| ~ spl2_278
| spl2_301 ),
inference(sat_conversion,[],[f21979]) ).
cnf(s2019,plain,
( ~ spl2_17
| ~ spl2_68
| ~ spl2_309
| ~ spl2_427 ),
inference(sat_conversion,[],[f22010]) ).
cnf(s2020,plain,
( ~ spl2_278
| ~ spl2_293
| ~ spl2_410
| ~ spl2_427 ),
inference(sat_conversion,[],[f22012]) ).
cnf(s2024,plain,
( spl2_11
| ~ spl2_28
| ~ spl2_271
| spl2_274 ),
inference(sat_conversion,[],[f22016]) ).
cnf(s2025,plain,
( ~ spl2_4
| ~ spl2_295
| ~ spl2_348
| spl2_424 ),
inference(sat_conversion,[],[f22017]) ).
cnf(s2026,plain,
( ~ spl2_32
| ~ spl2_94
| ~ spl2_272
| spl2_274 ),
inference(sat_conversion,[],[f22018]) ).
cnf(s2028,plain,
( ~ spl2_32
| ~ spl2_94
| ~ spl2_290
| spl2_295 ),
inference(sat_conversion,[],[f22020]) ).
cnf(s2029,plain,
( ~ spl2_4
| ~ spl2_274
| ~ spl2_365
| spl2_423 ),
inference(sat_conversion,[],[f22021]) ).
cnf(s2030,plain,
( spl2_11
| ~ spl2_28
| spl2_295
| ~ spl2_370 ),
inference(sat_conversion,[],[f22022]) ).
cnf(s2046,plain,
( ~ spl2_28
| spl2_88 ),
inference(sat_conversion,[],[f22081]) ).
cnf(s2047,plain,
( ~ spl2_277
| ~ spl2_312
| spl2_342 ),
inference(sat_conversion,[],[f22159]) ).
cnf(s2049,plain,
( spl2_20
| ~ spl2_312
| ~ spl2_331 ),
inference(sat_conversion,[],[f22163]) ).
cnf(s2050,plain,
( spl2_80
| ~ spl2_312
| ~ spl2_313 ),
inference(sat_conversion,[],[f22165]) ).
cnf(s2052,plain,
( spl2_39
| ~ spl2_290
| ~ spl2_312 ),
inference(sat_conversion,[],[f22168]) ).
cnf(s2056,plain,
( ~ spl2_296
| ~ spl2_312
| spl2_355 ),
inference(sat_conversion,[],[f22171]) ).
cnf(s2057,plain,
( spl2_73
| ~ spl2_312
| ~ spl2_317 ),
inference(sat_conversion,[],[f22173]) ).
cnf(s2058,plain,
( spl2_23
| spl2_80
| ~ spl2_312 ),
inference(sat_conversion,[],[f22174]) ).
cnf(s2064,plain,
( ~ spl2_60
| ~ spl2_80 ),
inference(sat_conversion,[],[f22227]) ).
cnf(s2067,plain,
( ~ spl2_94
| ~ spl2_320
| ~ spl2_425 ),
inference(sat_conversion,[],[f22250]) ).
cnf(s2068,plain,
( ~ spl2_32
| ~ spl2_319
| ~ spl2_425 ),
inference(sat_conversion,[],[f22252]) ).
cnf(s2069,plain,
( ~ spl2_270
| spl2_334
| ~ spl2_425 ),
inference(sat_conversion,[],[f22253]) ).
cnf(s2070,plain,
( ~ spl2_28
| ~ spl2_333
| ~ spl2_425 ),
inference(sat_conversion,[],[f22255]) ).
cnf(s2072,plain,
( spl2_4
| ~ spl2_32
| ~ spl2_272
| ~ spl2_425 ),
inference(sat_conversion,[],[f22258]) ).
cnf(s2085,plain,
( ~ spl2_94
| ~ spl2_317
| ~ spl2_423 ),
inference(sat_conversion,[],[f22399]) ).
cnf(s2087,plain,
( ~ spl2_32
| ~ spl2_318
| ~ spl2_423 ),
inference(sat_conversion,[],[f22403]) ).
cnf(s2090,plain,
( spl2_4
| ~ spl2_32
| ~ spl2_290
| ~ spl2_423 ),
inference(sat_conversion,[],[f22408]) ).
cnf(s2091,plain,
( ~ spl2_32
| spl2_55
| ~ spl2_81
| ~ spl2_94 ),
inference(sat_conversion,[],[f22440]) ).
cnf(s2104,plain,
( spl2_295
| spl2_318
| ~ spl2_331 ),
inference(sat_conversion,[],[f22554]) ).
cnf(s2108,plain,
( ~ spl2_285
| ~ spl2_343
| ~ spl2_406 ),
inference(sat_conversion,[],[f22561]) ).
cnf(s2116,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_432 ),
inference(sat_conversion,[],[f22616]) ).
cnf(s2118,plain,
( ~ spl2_27
| ~ spl2_282
| ~ spl2_295
| spl2_342 ),
inference(sat_conversion,[],[f22667]) ).
cnf(s2120,plain,
( ~ spl2_96
| ~ spl2_282
| ~ spl2_295
| spl2_342
| spl2_351 ),
inference(sat_conversion,[],[f22669]) ).
cnf(s2122,plain,
( ~ spl2_313
| ~ spl2_339
| ~ spl2_353 ),
inference(sat_conversion,[],[f22753]) ).
cnf(s2123,plain,
( ~ spl2_331
| ~ spl2_339
| ~ spl2_346 ),
inference(sat_conversion,[],[f22756]) ).
cnf(s2126,plain,
( ~ spl2_295
| spl2_307
| ~ spl2_308
| ~ spl2_389 ),
inference(sat_conversion,[],[f22888]) ).
cnf(s2127,plain,
( ~ spl2_274
| spl2_425
| spl2_433 ),
inference(sat_conversion,[],[f22952]) ).
cnf(s2129,plain,
( ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| spl2_312
| ~ spl2_343
| spl2_407 ),
inference(sat_conversion,[],[f23000]) ).
cnf(s2131,plain,
( ~ spl2_274
| ~ spl2_278
| ~ spl2_282
| ~ spl2_343
| spl2_407 ),
inference(sat_conversion,[],[f23003]) ).
cnf(s2134,plain,
( ~ spl2_340
| ~ spl2_343
| spl2_357
| ~ spl2_389 ),
inference(sat_conversion,[],[f23037]) ).
cnf(s2138,plain,
( ~ spl2_59
| spl2_110
| ~ spl2_432 ),
inference(sat_conversion,[],[f23042]) ).
cnf(s2144,plain,
( ~ spl2_320
| ~ spl2_347
| ~ spl2_407 ),
inference(sat_conversion,[],[f23144]) ).
cnf(s2147,plain,
( ~ spl2_274
| spl2_298
| spl2_435 ),
inference(sat_conversion,[],[f23155]) ).
cnf(s2148,plain,
( ~ spl2_340
| ~ spl2_342
| ~ spl2_374
| ~ spl2_422 ),
inference(sat_conversion,[],[f23156]) ).
cnf(s2150,plain,
( ~ spl2_32
| ~ spl2_272
| spl2_342
| ~ spl2_407 ),
inference(sat_conversion,[],[f23159]) ).
cnf(s2151,plain,
( ~ spl2_17
| ~ spl2_301
| ~ spl2_308
| ~ spl2_309 ),
inference(sat_conversion,[],[f23160]) ).
cnf(s2153,plain,
( ~ spl2_17
| ~ spl2_282
| ~ spl2_308
| ~ spl2_340
| ~ spl2_342 ),
inference(sat_conversion,[],[f23163]) ).
cnf(s2154,plain,
( spl2_20
| spl2_39
| ~ spl2_340
| ~ spl2_342
| ~ spl2_374 ),
inference(sat_conversion,[],[f23164]) ).
cnf(s2155,plain,
( ~ spl2_47
| spl2_291
| ~ spl2_369
| ~ spl2_407 ),
inference(sat_conversion,[],[f23166]) ).
cnf(s2157,plain,
( ~ spl2_11
| ~ spl2_68
| spl2_298
| ~ spl2_433 ),
inference(sat_conversion,[],[f23169]) ).
cnf(s2158,plain,
( ~ spl2_20
| ~ spl2_47
| spl2_291
| ~ spl2_300 ),
inference(sat_conversion,[],[f23170]) ).
cnf(s2161,plain,
( ~ spl2_11
| ~ spl2_274
| ~ spl2_278
| ~ spl2_308
| ~ spl2_309 ),
inference(sat_conversion,[],[f23179]) ).
cnf(s2162,plain,
( spl2_291
| ~ spl2_407
| spl2_409 ),
inference(sat_conversion,[],[f23181]) ).
cnf(s2164,plain,
( ~ spl2_17
| ~ spl2_68
| spl2_298
| ~ spl2_427 ),
inference(sat_conversion,[],[f23183]) ).
cnf(s2165,plain,
( ~ spl2_293
| ~ spl2_302
| ~ spl2_308
| ~ spl2_422 ),
inference(sat_conversion,[],[f23185]) ).
cnf(s2166,plain,
( ~ spl2_17
| ~ spl2_291
| spl2_313
| ~ spl2_365 ),
inference(sat_conversion,[],[f23186]) ).
cnf(s2172,plain,
( ~ spl2_28
| ~ spl2_47
| spl2_308
| ~ spl2_423 ),
inference(sat_conversion,[],[f23194]) ).
cnf(s2174,plain,
( ~ spl2_47
| ~ spl2_284
| spl2_308
| ~ spl2_369 ),
inference(sat_conversion,[],[f23196]) ).
cnf(s2176,plain,
( ~ spl2_47
| ~ spl2_271
| ~ spl2_280
| spl2_308 ),
inference(sat_conversion,[],[f23199]) ).
cnf(s2177,plain,
( spl2_11
| ~ spl2_20
| spl2_66 ),
inference(sat_conversion,[],[f23212]) ).
cnf(s2180,plain,
( spl2_11
| ~ spl2_20
| ~ spl2_32
| ~ spl2_91 ),
inference(sat_conversion,[],[f23215]) ).
cnf(s2190,plain,
( ~ spl2_270
| ~ spl2_298
| spl2_333 ),
inference(sat_conversion,[],[f23320]) ).
cnf(s2191,plain,
( ~ spl2_20
| ~ spl2_298
| ~ spl2_319 ),
inference(sat_conversion,[],[f23322]) ).
cnf(s2192,plain,
( ~ spl2_274
| spl2_300
| spl2_437 ),
inference(sat_conversion,[],[f23327]) ).
cnf(s2193,plain,
( ~ spl2_91
| ~ spl2_284
| spl2_295
| ~ spl2_355 ),
inference(sat_conversion,[],[f23329]) ).
cnf(s2194,plain,
( ~ spl2_277
| spl2_300
| spl2_438 ),
inference(sat_conversion,[],[f23334]) ).
cnf(s2221,plain,
( spl2_11
| ~ spl2_341
| ~ spl2_343 ),
inference(sat_conversion,[],[f23685]) ).
cnf(s2224,plain,
( spl2_23
| spl2_80
| ~ spl2_341 ),
inference(sat_conversion,[],[f23693]) ).
cnf(s2229,plain,
( ~ spl2_28
| ~ spl2_313
| ~ spl2_431 ),
inference(sat_conversion,[],[f23800]) ).
cnf(s2230,plain,
( ~ spl2_94
| ~ spl2_331
| ~ spl2_431 ),
inference(sat_conversion,[],[f23803]) ).
cnf(s2234,plain,
( ~ spl2_294
| ~ spl2_298
| ~ spl2_313 ),
inference(sat_conversion,[],[f23906]) ).
cnf(s2235,plain,
( ~ spl2_284
| ~ spl2_294
| ~ spl2_407 ),
inference(sat_conversion,[],[f23908]) ).
cnf(s2238,plain,
( ~ spl2_271
| ~ spl2_313
| ~ spl2_335 ),
inference(sat_conversion,[],[f23934]) ).
cnf(s2243,plain,
( ~ spl2_280
| ~ spl2_356
| ~ spl2_407 ),
inference(sat_conversion,[],[f24008]) ).
cnf(s2244,plain,
( ~ spl2_331
| spl2_342
| ~ spl2_356 ),
inference(sat_conversion,[],[f24010]) ).
cnf(s2245,plain,
( ~ spl2_110
| ~ spl2_278
| spl2_306 ),
inference(sat_conversion,[],[f24086]) ).
cnf(s2247,plain,
( ~ spl2_68
| ~ spl2_340
| spl2_375
| spl2_424 ),
inference(sat_conversion,[],[f24117]) ).
cnf(s2248,plain,
( ~ spl2_24
| ~ spl2_340
| spl2_346
| spl2_359 ),
inference(sat_conversion,[],[f24118]) ).
cnf(s2324,plain,
( ~ spl2_284
| ~ spl2_424
| spl2_426 ),
inference(sat_conversion,[],[f25103]) ).
cnf(s2325,plain,
( ~ spl2_28
| ~ spl2_361
| ~ spl2_424 ),
inference(sat_conversion,[],[f25105]) ).
cnf(s2327,plain,
( ~ spl2_94
| ~ spl2_396
| ~ spl2_424 ),
inference(sat_conversion,[],[f25111]) ).
cnf(s2329,plain,
( spl2_4
| ~ spl2_32
| ~ spl2_347
| ~ spl2_424 ),
inference(sat_conversion,[],[f25113]) ).
cnf(s2331,plain,
( ~ spl2_271
| ~ spl2_361
| ~ spl2_412 ),
inference(sat_conversion,[],[f25144]) ).
cnf(s2332,plain,
( ~ spl2_17
| ~ spl2_308
| ~ spl2_453
| ~ spl2_478
| ~ spl2_479 ),
inference(sat_conversion,[],[f25209]) ).
cnf(s2339,plain,
( ~ spl2_110
| ~ spl2_453
| spl2_484 ),
inference(sat_conversion,[],[f25236]) ).
cnf(s2340,plain,
( spl2_478
| spl2_482 ),
inference(sat_conversion,[],[f25240]) ).
cnf(s2350,plain,
( spl2_23
| spl2_80
| ~ spl2_485 ),
inference(sat_conversion,[],[f25374]) ).
cnf(s2360,plain,
( ~ spl2_32
| ~ spl2_346
| ~ spl2_426 ),
inference(sat_conversion,[],[f25504]) ).
cnf(s2362,plain,
( ~ spl2_396
| ~ spl2_458
| ~ spl2_482 ),
inference(sat_conversion,[],[f25567]) ).
cnf(s2364,plain,
( ~ spl2_409
| ~ spl2_458
| ~ spl2_466 ),
inference(sat_conversion,[],[f25572]) ).
cnf(s2368,plain,
( ~ spl2_32
| ~ spl2_347
| ~ spl2_458
| spl2_478 ),
inference(sat_conversion,[],[f25583]) ).
cnf(s2373,plain,
( ~ spl2_76
| spl2_479
| ~ spl2_491 ),
inference(sat_conversion,[],[f25649]) ).
cnf(s2374,plain,
( ~ spl2_28
| ~ spl2_47
| spl2_479
| ~ spl2_491 ),
inference(sat_conversion,[],[f25651]) ).
cnf(s2377,plain,
( ~ spl2_110
| ~ spl2_467
| spl2_492 ),
inference(sat_conversion,[],[f25746]) ).
cnf(s2380,plain,
( ~ spl2_110
| ~ spl2_274
| ~ spl2_468
| spl2_492 ),
inference(sat_conversion,[],[f25779]) ).
cnf(s2381,plain,
( ~ spl2_274
| spl2_344
| ~ spl2_387
| ~ spl2_468
| spl2_492 ),
inference(sat_conversion,[],[f25780]) ).
cnf(s2405,plain,
( spl2_25
| spl2_117
| ~ spl2_502 ),
inference(sat_conversion,[],[f26078]) ).
cnf(s2406,plain,
( spl2_7
| ~ spl2_90
| ~ spl2_94
| ~ spl2_502 ),
inference(sat_conversion,[],[f26080]) ).
cnf(s2414,plain,
( spl2_7
| spl2_25
| ~ spl2_502 ),
inference(sat_conversion,[],[f26092]) ).
cnf(s2415,plain,
( spl2_23
| spl2_80
| ~ spl2_502 ),
inference(sat_conversion,[],[f26094]) ).
cnf(s2418,plain,
( spl2_4
| spl2_7
| ~ spl2_96
| ~ spl2_502 ),
inference(sat_conversion,[],[f26099]) ).
cnf(s2421,plain,
( ~ spl2_94
| ~ spl2_491
| ~ spl2_497 ),
inference(sat_conversion,[],[f26141]) ).
cnf(s2423,plain,
( ~ spl2_89
| ~ spl2_478
| ~ spl2_479
| spl2_491
| spl2_502 ),
inference(sat_conversion,[],[f26144]) ).
cnf(s2425,plain,
( spl2_442
| ~ spl2_452 ),
inference(sat_conversion,[],[f26181]) ).
cnf(s2427,plain,
( spl2_442
| ~ spl2_471 ),
inference(sat_conversion,[],[f26242]) ).
cnf(s2431,plain,
( ~ spl2_301
| ~ spl2_470
| ~ spl2_505
| ~ spl2_511 ),
inference(sat_conversion,[],[f26298]) ).
cnf(s2434,plain,
( ~ spl2_110
| ~ spl2_274
| ~ spl2_278
| ~ spl2_470
| ~ spl2_511 ),
inference(sat_conversion,[],[f26308]) ).
cnf(s2469,plain,
( ~ spl2_415
| spl2_424
| ~ spl2_463 ),
inference(sat_conversion,[],[f26745]) ).
cnf(s2471,plain,
( ~ spl2_278
| ~ spl2_282
| ~ spl2_463 ),
inference(sat_conversion,[],[f26748]) ).
cnf(s2473,plain,
( ~ spl2_110
| spl2_424
| ~ spl2_475
| spl2_522 ),
inference(sat_conversion,[],[f26796]) ).
cnf(s2490,plain,
( spl2_505
| spl2_508 ),
inference(sat_conversion,[],[f26921]) ).
cnf(s2491,plain,
( ~ spl2_43
| spl2_506
| ~ spl2_508 ),
inference(sat_conversion,[],[f26936]) ).
cnf(s2497,plain,
( spl2_511
| spl2_529 ),
inference(sat_conversion,[],[f27008]) ).
cnf(s2502,plain,
( ~ spl2_409
| ~ spl2_474
| ~ spl2_529 ),
inference(sat_conversion,[],[f27124]) ).
cnf(s2503,plain,
( ~ spl2_396
| ~ spl2_474
| ~ spl2_508 ),
inference(sat_conversion,[],[f27128]) ).
cnf(s2507,plain,
( ~ spl2_110
| ~ spl2_470
| ~ spl2_522 ),
inference(sat_conversion,[],[f27153]) ).
cnf(s2521,plain,
( ~ spl2_340
| ~ spl2_475
| ~ spl2_506
| spl2_525 ),
inference(sat_conversion,[],[f27288]) ).
cnf(s2537,plain,
( ~ spl2_270
| ~ spl2_407
| ~ spl2_477
| ~ spl2_529 ),
inference(sat_conversion,[],[f27481]) ).
cnf(s2538,plain,
( ~ spl2_270
| ~ spl2_298
| ~ spl2_527
| ~ spl2_529 ),
inference(sat_conversion,[],[f27483]) ).
cnf(s2539,plain,
( ~ spl2_284
| ~ spl2_412
| ~ spl2_458
| ~ spl2_469 ),
inference(sat_conversion,[],[f27503]) ).
cnf(s2540,plain,
( ~ spl2_284
| ~ spl2_346
| ~ spl2_458
| ~ spl2_493 ),
inference(sat_conversion,[],[f27506]) ).
cnf(s2549,plain,
( ~ spl2_284
| spl2_356
| ~ spl2_442 ),
inference(sat_conversion,[],[f27654]) ).
cnf(s2550,plain,
( ~ spl2_313
| spl2_366
| ~ spl2_442 ),
inference(sat_conversion,[],[f27655]) ).
cnf(s2551,plain,
( ~ spl2_280
| spl2_335
| ~ spl2_442 ),
inference(sat_conversion,[],[f27656]) ).
cnf(s2552,plain,
( spl2_318
| ~ spl2_331
| ~ spl2_442 ),
inference(sat_conversion,[],[f27657]) ).
cnf(s2553,plain,
( ~ spl2_423
| spl2_431
| ~ spl2_442 ),
inference(sat_conversion,[],[f27658]) ).
cnf(s2557,plain,
( ~ spl2_415
| spl2_491
| ~ spl2_492 ),
inference(sat_conversion,[],[f27667]) ).
cnf(s2559,plain,
( spl2_295
| ~ spl2_313
| spl2_366 ),
inference(sat_conversion,[],[f27678]) ).
cnf(s2560,plain,
( ~ spl2_32
| ~ spl2_347
| ~ spl2_460
| spl2_478 ),
inference(sat_conversion,[],[f27680]) ).
cnf(s2563,plain,
( ~ spl2_460
| spl2_478
| spl2_544 ),
inference(sat_conversion,[],[f27688]) ).
cnf(s2564,plain,
( spl2_295
| ~ spl2_331
| ~ spl2_432 ),
inference(sat_conversion,[],[f27689]) ).
cnf(s2571,plain,
( ~ spl2_432
| ~ spl2_493
| spl2_542 ),
inference(sat_conversion,[],[f27712]) ).
cnf(s2579,plain,
( ~ spl2_96
| spl2_342
| ~ spl2_457
| ~ spl2_542
| spl2_553 ),
inference(sat_conversion,[],[f27743]) ).
cnf(s2586,plain,
( ~ spl2_71
| spl2_384
| ~ spl2_413 ),
inference(sat_conversion,[],[f27754]) ).
cnf(s2588,plain,
( ~ spl2_74
| spl2_386
| ~ spl2_413 ),
inference(sat_conversion,[],[f27756]) ).
cnf(s2593,plain,
( ~ spl2_15
| ~ spl2_478
| ~ spl2_479 ),
inference(sat_conversion,[],[f27803]) ).
cnf(s2594,plain,
( ~ spl2_15
| ~ spl2_293
| ~ spl2_308 ),
inference(sat_conversion,[],[f27805]) ).
cnf(s2597,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_96 ),
inference(sat_conversion,[],[f27811]) ).
cnf(s2600,plain,
( ~ spl2_400
| ~ spl2_484
| spl2_556 ),
inference(sat_conversion,[],[f27817]) ).
cnf(s2601,plain,
( ~ spl2_10
| spl2_331
| ~ spl2_406 ),
inference(sat_conversion,[],[f27821]) ).
cnf(s2604,plain,
( ~ spl2_32
| ~ spl2_88
| spl2_343
| ~ spl2_347 ),
inference(sat_conversion,[],[f27824]) ).
cnf(s2607,plain,
( ~ spl2_10
| ~ spl2_274
| ~ spl2_278
| ~ spl2_293
| ~ spl2_316 ),
inference(sat_conversion,[],[f27829]) ).
cnf(s2609,plain,
( spl2_346
| ~ spl2_457
| ~ spl2_478
| spl2_554 ),
inference(sat_conversion,[],[f27835]) ).
cnf(s2612,plain,
( ~ spl2_20
| ~ spl2_29
| spl2_46 ),
inference(sat_conversion,[],[f27839]) ).
cnf(s2614,plain,
( spl2_28
| ~ spl2_340
| ~ spl2_343
| spl2_375 ),
inference(sat_conversion,[],[f27844]) ).
cnf(s2618,plain,
( ~ spl2_282
| ~ spl2_308
| ~ spl2_340
| spl2_351 ),
inference(sat_conversion,[],[f27849]) ).
cnf(s2625,plain,
( spl2_11
| ~ spl2_88
| ~ spl2_288
| ~ spl2_313 ),
inference(sat_conversion,[],[f27857]) ).
cnf(s2630,plain,
( ~ spl2_278
| ~ spl2_295
| ~ spl2_302
| ~ spl2_437 ),
inference(sat_conversion,[],[f27866]) ).
cnf(s2631,plain,
( ~ spl2_19
| ~ spl2_91
| spl2_295
| ~ spl2_313 ),
inference(sat_conversion,[],[f27868]) ).
cnf(s2632,plain,
( ~ spl2_47
| ~ spl2_271
| spl2_340
| ~ spl2_412 ),
inference(sat_conversion,[],[f27869]) ).
cnf(s2635,plain,
( ~ spl2_88
| ~ spl2_288
| ~ spl2_454
| spl2_542 ),
inference(sat_conversion,[],[f27872]) ).
cnf(s2638,plain,
( ~ spl2_29
| ~ spl2_370
| ~ spl2_454
| spl2_479 ),
inference(sat_conversion,[],[f27882]) ).
cnf(s2639,plain,
( spl2_353
| ~ spl2_457
| ~ spl2_479
| spl2_539 ),
inference(sat_conversion,[],[f27883]) ).
cnf(s2644,plain,
( ~ spl2_43
| spl2_340
| ~ spl2_347 ),
inference(sat_conversion,[],[f27894]) ).
cnf(s2647,plain,
( ~ spl2_428
| ~ spl2_469
| spl2_479 ),
inference(sat_conversion,[],[f27897]) ).
cnf(s2648,plain,
( ~ spl2_29
| spl2_291
| ~ spl2_369
| ~ spl2_412 ),
inference(sat_conversion,[],[f27898]) ).
cnf(s2651,plain,
( ~ spl2_88
| ~ spl2_288
| ~ spl2_472
| spl2_550 ),
inference(sat_conversion,[],[f27901]) ).
cnf(s2652,plain,
( ~ spl2_29
| ~ spl2_284
| spl2_340
| ~ spl2_370 ),
inference(sat_conversion,[],[f27902]) ).
cnf(s2653,plain,
( ~ spl2_88
| ~ spl2_284
| ~ spl2_288
| spl2_343 ),
inference(sat_conversion,[],[f27903]) ).
cnf(s2656,plain,
( ~ spl2_20
| ~ spl2_29
| spl2_340
| ~ spl2_347 ),
inference(sat_conversion,[],[f27906]) ).
cnf(s2657,plain,
( ~ spl2_47
| ~ spl2_271
| ~ spl2_469
| spl2_479 ),
inference(sat_conversion,[],[f27907]) ).
cnf(s2659,plain,
( ~ spl2_17
| ~ spl2_277
| ~ spl2_278
| ~ spl2_291
| ~ spl2_308 ),
inference(sat_conversion,[],[f27909]) ).
cnf(s2661,plain,
( ~ spl2_274
| ~ spl2_278
| ~ spl2_559 ),
inference(sat_conversion,[],[f27911]) ).
cnf(s2662,plain,
( ~ spl2_29
| spl2_291
| ~ spl2_469
| ~ spl2_564 ),
inference(sat_conversion,[],[f27915]) ).
cnf(s2668,plain,
( ~ spl2_284
| spl2_409
| ~ spl2_412 ),
inference(sat_conversion,[],[f27927]) ).
cnf(s2673,plain,
( ~ spl2_32
| spl2_557 ),
inference(sat_conversion,[],[f27940]) ).
cnf(s2677,plain,
( ~ spl2_20
| spl2_557 ),
inference(sat_conversion,[],[f27977]) ).
cnf(s2683,plain,
( ~ spl2_43
| ~ spl2_272
| spl2_291 ),
inference(sat_conversion,[],[f28015]) ).
cnf(s2684,plain,
( ~ spl2_20
| ~ spl2_29
| ~ spl2_272
| spl2_291 ),
inference(sat_conversion,[],[f28017]) ).
cnf(s2689,plain,
( ~ spl2_17
| ~ spl2_291
| spl2_444 ),
inference(sat_conversion,[],[f28076]) ).
cnf(s2690,plain,
( ~ spl2_291
| spl2_446 ),
inference(sat_conversion,[],[f28078]) ).
cnf(s2694,plain,
( spl2_295
| spl2_312
| ~ spl2_388 ),
inference(sat_conversion,[],[f28089]) ).
cnf(s2696,plain,
( spl2_288
| spl2_295
| spl2_299 ),
inference(sat_conversion,[],[f28092]) ).
cnf(s2698,plain,
( ~ spl2_288
| spl2_442 ),
inference(sat_conversion,[],[f28128]) ).
cnf(s2702,plain,
( ~ spl2_43
| spl2_479
| ~ spl2_482 ),
inference(sat_conversion,[],[f28175]) ).
cnf(s2703,plain,
( ~ spl2_32
| ~ spl2_88
| ~ spl2_482
| spl2_542 ),
inference(sat_conversion,[],[f28177]) ).
cnf(s2704,plain,
( ~ spl2_20
| ~ spl2_29
| spl2_479
| ~ spl2_482 ),
inference(sat_conversion,[],[f28178]) ).
cnf(s2707,plain,
( ~ spl2_272
| spl2_320
| ~ spl2_557 ),
inference(sat_conversion,[],[f28206]) ).
cnf(s2710,plain,
( spl2_299
| spl2_340
| spl2_369 ),
inference(sat_conversion,[],[f28243]) ).
cnf(s2718,plain,
( spl2_493
| spl2_548 ),
inference(sat_conversion,[],[f28357]) ).
cnf(s2725,plain,
( ~ spl2_342
| ~ spl2_404
| ~ spl2_427
| ~ spl2_555 ),
inference(sat_conversion,[],[f28427]) ).
cnf(s2729,plain,
( spl2_300
| ~ spl2_342
| spl2_359
| ~ spl2_555 ),
inference(sat_conversion,[],[f28432]) ).
cnf(s2733,plain,
( ~ spl2_343
| ~ spl2_398
| ~ spl2_555 ),
inference(sat_conversion,[],[f28436]) ).
cnf(s2734,plain,
( ~ spl2_343
| ~ spl2_404
| ~ spl2_433
| ~ spl2_555 ),
inference(sat_conversion,[],[f28437]) ).
cnf(s2736,plain,
( spl2_300
| ~ spl2_342
| spl2_359
| ~ spl2_555 ),
inference(sat_conversion,[],[f28439]) ).
cnf(s2739,plain,
( ~ spl2_343
| ~ spl2_374
| ~ spl2_437
| ~ spl2_555 ),
inference(sat_conversion,[],[f28445]) ).
cnf(s2741,plain,
( ~ spl2_31
| ~ spl2_288
| spl2_308 ),
inference(sat_conversion,[],[f28450]) ).
cnf(s2742,plain,
( ~ spl2_47
| spl2_308
| ~ spl2_454
| ~ spl2_564 ),
inference(sat_conversion,[],[f28451]) ).
cnf(s2743,plain,
( ~ spl2_20
| ~ spl2_47
| spl2_479
| ~ spl2_493 ),
inference(sat_conversion,[],[f28452]) ).
cnf(s2744,plain,
( spl2_4
| ~ spl2_32
| spl2_413 ),
inference(sat_conversion,[],[f28453]) ).
cnf(s2745,plain,
( spl2_88
| ~ spl2_491 ),
inference(sat_conversion,[],[f28454]) ).
cnf(s2746,plain,
( ~ spl2_4
| spl2_518
| ~ spl2_535 ),
inference(sat_conversion,[],[f28455]) ).
cnf(s2759,plain,
( ~ spl2_290
| spl2_442 ),
inference(sat_conversion,[],[f28523]) ).
cnf(s2760,plain,
( ~ spl2_290
| spl2_317
| ~ spl2_557 ),
inference(sat_conversion,[],[f28524]) ).
cnf(s2762,plain,
( ~ spl2_66
| ~ spl2_271
| ~ spl2_300 ),
inference(sat_conversion,[],[f28550]) ).
cnf(s2766,plain,
( spl2_287
| spl2_308
| spl2_370 ),
inference(sat_conversion,[],[f28591]) ).
cnf(s2771,plain,
( ~ spl2_370
| spl2_442 ),
inference(sat_conversion,[],[f28620]) ).
cnf(s2772,plain,
( ~ spl2_482
| spl2_497
| ~ spl2_557 ),
inference(sat_conversion,[],[f28627]) ).
cnf(s2773,plain,
( ~ spl2_13
| ~ spl2_274
| ~ spl2_291 ),
inference(sat_conversion,[],[f28647]) ).
cnf(s2782,plain,
( ~ spl2_94
| spl2_413
| ~ spl2_557 ),
inference(sat_conversion,[],[f28665]) ).
cnf(s2787,plain,
( spl2_18
| spl2_19
| ~ spl2_390 ),
inference(sat_conversion,[],[f28719]) ).
cnf(s2789,plain,
( spl2_73
| ~ spl2_390
| ~ spl2_557 ),
inference(sat_conversion,[],[f28722]) ).
cnf(s2792,plain,
( ~ spl2_23
| spl2_390
| spl2_391 ),
inference(sat_conversion,[],[f28754]) ).
cnf(s2794,plain,
( spl2_15
| ~ spl2_17
| spl2_20
| ~ spl2_23 ),
inference(sat_conversion,[],[f28757]) ).
cnf(s2795,plain,
( ~ spl2_11
| spl2_13
| ~ spl2_23
| spl2_28 ),
inference(sat_conversion,[],[f28758]) ).
cnf(s2796,plain,
( ~ spl2_17
| spl2_20
| ~ spl2_23
| spl2_39 ),
inference(sat_conversion,[],[f28761]) ).
cnf(s2799,plain,
( spl2_343
| ~ spl2_346
| spl2_395 ),
inference(sat_conversion,[],[f28797]) ).
cnf(s2828,plain,
( ~ spl2_328
| ~ spl2_340
| ~ spl2_555 ),
inference(sat_conversion,[],[f29086]) ).
cnf(s2829,plain,
( ~ spl2_68
| ~ spl2_328
| spl2_425 ),
inference(sat_conversion,[],[f29087]) ).
cnf(s2830,plain,
( ~ spl2_431
| ~ spl2_472
| ~ spl2_518 ),
inference(sat_conversion,[],[f29125]) ).
cnf(s2833,plain,
( ~ spl2_272
| ~ spl2_469
| spl2_478
| ~ spl2_557 ),
inference(sat_conversion,[],[f29217]) ).
cnf(s2834,plain,
( ~ spl2_431
| ~ spl2_454
| ~ spl2_491 ),
inference(sat_conversion,[],[f29219]) ).
cnf(s2837,plain,
( ~ spl2_283
| spl2_442 ),
inference(sat_conversion,[],[f29263]) ).
cnf(s2840,plain,
( ~ spl2_270
| ~ spl2_466
| spl2_494 ),
inference(sat_conversion,[],[f29309]) ).
cnf(s2852,plain,
( ~ spl2_274
| ~ spl2_468
| ~ spl2_541 ),
inference(sat_conversion,[],[f29538]) ).
cnf(s2856,plain,
( spl2_20
| ~ spl2_391 ),
inference(sat_conversion,[],[f29587]) ).
cnf(s2857,plain,
( spl2_18
| spl2_28
| ~ spl2_391 ),
inference(sat_conversion,[],[f29589]) ).
cnf(s2859,plain,
( ~ spl2_24
| ~ spl2_118
| ~ spl2_340
| ~ spl2_342 ),
inference(sat_conversion,[],[f29667]) ).
cnf(s2861,plain,
( ~ spl2_357
| ~ spl2_457
| ~ spl2_479 ),
inference(sat_conversion,[],[f29709]) ).
cnf(s2866,plain,
( ~ spl2_342
| ~ spl2_459
| ~ spl2_554 ),
inference(sat_conversion,[],[f29758]) ).
cnf(s2867,plain,
( ~ spl2_343
| ~ spl2_459
| ~ spl2_541 ),
inference(sat_conversion,[],[f29760]) ).
cnf(s2869,plain,
( ~ spl2_293
| ~ spl2_470
| ~ spl2_535 ),
inference(sat_conversion,[],[f29808]) ).
cnf(s2874,plain,
( spl2_344
| spl2_511
| spl2_529 ),
inference(sat_conversion,[],[f29854]) ).
cnf(s2896,plain,
( ~ spl2_21
| ~ spl2_339 ),
inference(sat_conversion,[],[f30071]) ).
cnf(s2897,plain,
( ~ spl2_339
| ~ spl2_423
| ~ spl2_424 ),
inference(sat_conversion,[],[f30073]) ).
cnf(s2900,plain,
( ~ spl2_345
| ~ spl2_452
| ~ spl2_458 ),
inference(sat_conversion,[],[f30095]) ).
cnf(s2901,plain,
( ~ spl2_288
| ~ spl2_345
| ~ spl2_424 ),
inference(sat_conversion,[],[f30097]) ).
cnf(s2902,plain,
( ~ spl2_300
| ~ spl2_493
| ~ spl2_494 ),
inference(sat_conversion,[],[f30113]) ).
cnf(s2932,plain,
( ~ spl2_365
| ~ spl2_473
| ~ spl2_505
| spl2_587 ),
inference(sat_conversion,[],[f30539]) ).
cnf(s2938,plain,
( ~ spl2_389
| ~ spl2_479
| spl2_539
| ~ spl2_542 ),
inference(sat_conversion,[],[f30787]) ).
cnf(s2941,plain,
( ~ spl2_17
| ~ spl2_340
| ~ spl2_364
| ~ spl2_400 ),
inference(sat_conversion,[],[f30899]) ).
cnf(s2942,plain,
( ~ spl2_11
| spl2_353
| ~ spl2_375 ),
inference(sat_conversion,[],[f30900]) ).
cnf(s2945,plain,
( spl2_423
| ~ spl2_455
| spl2_541
| ~ spl2_542 ),
inference(sat_conversion,[],[f30907]) ).
cnf(s2946,plain,
( ~ spl2_89
| ~ spl2_340
| ~ spl2_342
| ~ spl2_404 ),
inference(sat_conversion,[],[f30908]) ).
cnf(s2947,plain,
( ~ spl2_553
| spl2_556
| ~ spl2_589 ),
inference(sat_conversion,[],[f30912]) ).
cnf(s2948,plain,
( spl2_4
| spl2_90
| ~ spl2_557 ),
inference(sat_conversion,[],[f30913]) ).
cnf(s2949,plain,
( ~ spl2_283
| spl2_339
| spl2_342 ),
inference(sat_conversion,[],[f30914]) ).
cnf(s2950,plain,
( spl2_479
| spl2_564 ),
inference(sat_conversion,[],[f30915]) ).
cnf(s2951,plain,
( ~ spl2_437
| ~ spl2_467
| ~ spl2_542
| ~ spl2_548 ),
inference(sat_conversion,[],[f30916]) ).
cnf(s2954,plain,
( ~ spl2_404
| spl2_491
| ~ spl2_553 ),
inference(sat_conversion,[],[f30922]) ).
cnf(s2960,plain,
( spl2_343
| ~ spl2_346
| ~ spl2_432 ),
inference(sat_conversion,[],[f30934]) ).
cnf(s2965,plain,
( ~ spl2_525
| spl2_527
| ~ spl2_589 ),
inference(sat_conversion,[],[f30942]) ).
cnf(s2966,plain,
( ~ spl2_4
| ~ spl2_359
| spl2_424 ),
inference(sat_conversion,[],[f30943]) ).
cnf(s2967,plain,
( ~ spl2_283
| ~ spl2_290
| spl2_342
| ~ spl2_557 ),
inference(sat_conversion,[],[f30944]) ).
cnf(s2968,plain,
( ~ spl2_290
| ~ spl2_452
| spl2_478
| ~ spl2_557 ),
inference(sat_conversion,[],[f30945]) ).
cnf(s2969,plain,
( ~ spl2_343
| ~ spl2_435
| ~ spl2_555
| ~ spl2_589 ),
inference(sat_conversion,[],[f30946]) ).
cnf(s2972,plain,
( ~ spl2_435
| ~ spl2_467
| ~ spl2_542
| ~ spl2_593 ),
inference(sat_conversion,[],[f30955]) ).
cnf(s2973,plain,
( ~ spl2_423
| ~ spl2_540
| spl2_542 ),
inference(sat_conversion,[],[f30956]) ).
cnf(s2974,plain,
( ~ spl2_4
| spl2_491
| ~ spl2_554 ),
inference(sat_conversion,[],[f30958]) ).
cnf(s2979,plain,
( spl2_542
| spl2_546 ),
inference(sat_conversion,[],[f30972]) ).
cnf(s2982,plain,
( ~ spl2_283
| spl2_343
| spl2_345 ),
inference(sat_conversion,[],[f30982]) ).
cnf(s2984,plain,
( ~ spl2_68
| ~ spl2_357
| spl2_424 ),
inference(sat_conversion,[],[f30984]) ).
cnf(s2993,plain,
( ~ spl2_4
| ~ spl2_68
| ~ spl2_274
| ~ spl2_444 ),
inference(sat_conversion,[],[f30991]) ).
cnf(s2997,plain,
( ~ spl2_47
| ~ spl2_370
| ~ spl2_452
| spl2_479 ),
inference(sat_conversion,[],[f30994]) ).
cnf(s3000,plain,
( spl2_20
| ~ spl2_340
| ~ spl2_342
| spl2_359 ),
inference(sat_conversion,[],[f30998]) ).
cnf(s3002,plain,
( ~ spl2_331
| spl2_478
| ~ spl2_540 ),
inference(sat_conversion,[],[f31000]) ).
cnf(s3004,plain,
( ~ spl2_340
| ~ spl2_343
| spl2_357
| ~ spl2_389 ),
inference(sat_conversion,[],[f31002]) ).
cnf(s3005,plain,
( spl2_331
| ~ spl2_455
| ~ spl2_478
| spl2_554 ),
inference(sat_conversion,[],[f31003]) ).
cnf(s3013,plain,
( ~ spl2_347
| spl2_396
| ~ spl2_557 ),
inference(sat_conversion,[],[f31082]) ).
cnf(s3024,plain,
( ~ spl2_274
| ~ spl2_375
| ~ spl2_456 ),
inference(sat_conversion,[],[f31223]) ).
cnf(s3051,plain,
( ~ spl2_290
| ~ spl2_345
| ~ spl2_346 ),
inference(sat_conversion,[],[f31661]) ).
cnf(s3052,plain,
( ~ spl2_345
| ~ spl2_353
| ~ spl2_370 ),
inference(sat_conversion,[],[f31663]) ).
cnf(s3061,plain,
( ~ spl2_4
| ~ spl2_293
| spl2_406
| spl2_423 ),
inference(sat_conversion,[],[f31812]) ).
cnf(s3067,plain,
( ~ spl2_285
| ~ spl2_293
| ~ spl2_342
| spl2_351 ),
inference(sat_conversion,[],[f31820]) ).
cnf(s3068,plain,
( ~ spl2_285
| spl2_313
| ~ spl2_340
| spl2_357 ),
inference(sat_conversion,[],[f31821]) ).
cnf(s3092,plain,
( ~ spl2_68
| ~ spl2_340
| ~ spl2_343
| spl2_375 ),
inference(sat_conversion,[],[f32053]) ).
cnf(s3103,plain,
( ~ spl2_68
| ~ spl2_479
| spl2_541
| ~ spl2_542 ),
inference(sat_conversion,[],[f32179]) ).
cnf(s3124,plain,
( ~ spl2_288
| ~ spl2_452
| ~ spl2_498 ),
inference(sat_conversion,[],[f32490]) ).
cnf(s3132,plain,
( ~ spl2_353
| spl2_361
| ~ spl2_460 ),
inference(sat_conversion,[],[f32965]) ).
cnf(s3133,plain,
( ~ spl2_346
| spl2_396
| ~ spl2_460 ),
inference(sat_conversion,[],[f32966]) ).
cnf(s3135,plain,
( spl2_409
| ~ spl2_412
| ~ spl2_460 ),
inference(sat_conversion,[],[f32968]) ).
cnf(s3136,plain,
( ~ spl2_283
| spl2_339
| ~ spl2_460 ),
inference(sat_conversion,[],[f32969]) ).
cnf(s3137,plain,
( ~ spl2_424
| spl2_426
| ~ spl2_460 ),
inference(sat_conversion,[],[f32970]) ).
cnf(s3144,plain,
( spl2_60
| ~ spl2_556 ),
inference(sat_conversion,[],[f32979]) ).
cnf(s3145,plain,
( spl2_353
| spl2_589 ),
inference(sat_conversion,[],[f32980]) ).
cnf(s3150,plain,
( ~ spl2_429
| ~ spl2_460
| ~ spl2_564 ),
inference(sat_conversion,[],[f32986]) ).
cnf(s3151,plain,
( ~ spl2_28
| ~ spl2_367
| ~ spl2_423 ),
inference(sat_conversion,[],[f32987]) ).
cnf(s3157,plain,
( spl2_299
| spl2_353
| spl2_589 ),
inference(sat_conversion,[],[f32994]) ).
cnf(s3159,plain,
( ~ spl2_91
| ~ spl2_283
| ~ spl2_288
| spl2_343 ),
inference(sat_conversion,[],[f32996]) ).
cnf(s3161,plain,
( spl2_17
| ~ spl2_271
| spl2_333 ),
inference(sat_conversion,[],[f32999]) ).
cnf(s3165,plain,
( ~ spl2_17
| ~ spl2_554
| spl2_556 ),
inference(sat_conversion,[],[f33007]) ).
cnf(s3169,plain,
( spl2_17
| ~ spl2_271
| ~ spl2_272
| ~ spl2_557 ),
inference(sat_conversion,[],[f33016]) ).
cnf(s3171,plain,
( ~ spl2_17
| ~ spl2_293
| spl2_307
| spl2_313 ),
inference(sat_conversion,[],[f33022]) ).
cnf(s3173,plain,
( ~ spl2_277
| ~ spl2_281
| ~ spl2_293
| spl2_306 ),
inference(sat_conversion,[],[f33024]) ).
cnf(s3174,plain,
( ~ spl2_88
| ~ spl2_283
| spl2_295
| ~ spl2_355 ),
inference(sat_conversion,[],[f33025]) ).
cnf(s3177,plain,
( spl2_556
| spl2_593 ),
inference(sat_conversion,[],[f33028]) ).
cnf(s3179,plain,
( ~ spl2_11
| ~ spl2_541
| spl2_556 ),
inference(sat_conversion,[],[f33031]) ).
cnf(s3182,plain,
( ~ spl2_277
| ~ spl2_281
| spl2_330
| spl2_331 ),
inference(sat_conversion,[],[f33035]) ).
cnf(s3187,plain,
( ~ spl2_39
| spl2_73
| ~ spl2_557 ),
inference(sat_conversion,[],[f33052]) ).
cnf(s3190,plain,
( ~ spl2_61
| spl2_331 ),
inference(sat_conversion,[],[f33083]) ).
cnf(s3194,plain,
( ~ spl2_61
| spl2_318
| ~ spl2_442 ),
inference(sat_conversion,[],[f33095]) ).
cnf(s3195,plain,
( ~ spl2_61
| spl2_110
| ~ spl2_432 ),
inference(sat_conversion,[],[f33096]) ).
cnf(s3201,plain,
( ~ spl2_295
| spl2_563 ),
inference(sat_conversion,[],[f33165]) ).
cnf(s3205,plain,
( ~ spl2_39
| ~ spl2_298
| ~ spl2_320 ),
inference(sat_conversion,[],[f33187]) ).
cnf(s3207,plain,
( ~ spl2_277
| ~ spl2_281
| spl2_330
| spl2_331 ),
inference(sat_conversion,[],[f33190]) ).
cnf(s3220,plain,
( ~ spl2_330
| ~ spl2_467
| ~ spl2_478 ),
inference(sat_conversion,[],[f33310]) ).
cnf(s3221,plain,
( ~ spl2_279
| ~ spl2_319
| ~ spl2_331 ),
inference(sat_conversion,[],[f33335]) ).
cnf(s3230,plain,
( ~ spl2_277
| ~ spl2_316
| ~ spl2_355
| ~ spl2_413
| ~ spl2_432
| ~ spl2_456 ),
inference(sat_conversion,[],[f33426]) ).
cnf(s3231,plain,
( spl2_17
| spl2_367
| ~ spl2_370 ),
inference(sat_conversion,[],[f33427]) ).
cnf(s3236,plain,
( ~ spl2_24
| spl2_493
| ~ spl2_539 ),
inference(sat_conversion,[],[f33434]) ).
cnf(s3237,plain,
( spl2_491
| spl2_502
| spl2_591 ),
inference(sat_conversion,[],[f33435]) ).
cnf(s3239,plain,
( ~ spl2_68
| spl2_491
| ~ spl2_539 ),
inference(sat_conversion,[],[f33437]) ).
cnf(s3241,plain,
( ~ spl2_277
| spl2_330
| ~ spl2_355
| ~ spl2_432
| ~ spl2_456 ),
inference(sat_conversion,[],[f33439]) ).
cnf(s3242,plain,
( spl2_17
| ~ spl2_290
| ~ spl2_370
| ~ spl2_557 ),
inference(sat_conversion,[],[f33440]) ).
cnf(s3244,plain,
( spl2_270
| ~ spl2_469 ),
inference(sat_conversion,[],[f33442]) ).
cnf(s3246,plain,
( spl2_270
| ~ spl2_587 ),
inference(sat_conversion,[],[f33444]) ).
cnf(s3251,plain,
( spl2_277
| ~ spl2_279
| ~ spl2_290
| ~ spl2_557 ),
inference(sat_conversion,[],[f33451]) ).
cnf(s3254,plain,
( ~ spl2_4
| ~ spl2_295
| ~ spl2_483
| spl2_491 ),
inference(sat_conversion,[],[f33454]) ).
cnf(s3261,plain,
( ~ spl2_104
| spl2_272
| ~ spl2_274 ),
inference(sat_conversion,[],[f33485]) ).
cnf(s3279,plain,
( ~ spl2_274
| ~ spl2_291
| spl2_328
| ~ spl2_389 ),
inference(sat_conversion,[],[f33607]) ).
cnf(s3288,plain,
( ~ spl2_308
| spl2_562 ),
inference(sat_conversion,[],[f33694]) ).
cnf(s3316,plain,
( ~ spl2_66
| ~ spl2_346
| ~ spl2_369 ),
inference(sat_conversion,[],[f33911]) ).
cnf(s3319,plain,
( ~ spl2_6
| ~ spl2_293
| ~ spl2_295 ),
inference(sat_conversion,[],[f33934]) ).
cnf(s3326,plain,
( ~ spl2_272
| ~ spl2_280
| ~ spl2_317 ),
inference(sat_conversion,[],[f34007]) ).
cnf(s3330,plain,
( ~ spl2_39
| spl2_478
| ~ spl2_556
| ~ spl2_557 ),
inference(sat_conversion,[],[f34070]) ).
cnf(s3334,plain,
( ~ spl2_20
| ~ spl2_353
| ~ spl2_395 ),
inference(sat_conversion,[],[f34106]) ).
cnf(s3335,plain,
( ~ spl2_39
| ~ spl2_353
| ~ spl2_396 ),
inference(sat_conversion,[],[f34112]) ).
cnf(s3340,plain,
( ~ spl2_320
| ~ spl2_466
| ~ spl2_482 ),
inference(sat_conversion,[],[f34168]) ).
cnf(s3343,plain,
( spl2_277
| ~ spl2_466
| ~ spl2_482
| ~ spl2_557 ),
inference(sat_conversion,[],[f34172]) ).
cnf(s3380,plain,
( ~ spl2_283
| ~ spl2_288
| ~ spl2_426 ),
inference(sat_conversion,[],[f34552]) ).
cnf(s3382,plain,
( ~ spl2_442
| ~ spl2_454
| spl2_540 ),
inference(sat_conversion,[],[f34607]) ).
cnf(s3388,plain,
( ~ spl2_292
| ~ spl2_452
| ~ spl2_466 ),
inference(sat_conversion,[],[f34644]) ).
cnf(s3390,plain,
( ~ spl2_283
| ~ spl2_292
| ~ spl2_407 ),
inference(sat_conversion,[],[f34648]) ).
cnf(s3393,plain,
( ~ spl2_306
| ~ spl2_415
| spl2_423 ),
inference(sat_conversion,[],[f34668]) ).
cnf(s3397,plain,
( ~ spl2_342
| ~ spl2_343
| ~ spl2_382
| ~ spl2_456 ),
inference(sat_conversion,[],[f34739]) ).
cnf(s3398,plain,
( ~ spl2_361
| ~ spl2_458
| ~ spl2_564 ),
inference(sat_conversion,[],[f34754]) ).
cnf(s3400,plain,
( spl2_277
| spl2_334
| ~ spl2_425 ),
inference(sat_conversion,[],[f34756]) ).
cnf(s3408,plain,
( ~ spl2_77
| ~ spl2_274
| ~ spl2_291
| ~ spl2_316 ),
inference(sat_conversion,[],[f34770]) ).
cnf(s3411,plain,
( ~ spl2_77
| ~ spl2_295
| ~ spl2_302
| ~ spl2_308 ),
inference(sat_conversion,[],[f34781]) ).
cnf(s3412,plain,
( ~ spl2_277
| spl2_330
| ~ spl2_468
| spl2_493 ),
inference(sat_conversion,[],[f34782]) ).
cnf(s3416,plain,
( ~ spl2_291
| spl2_328
| ~ spl2_468
| spl2_556 ),
inference(sat_conversion,[],[f34786]) ).
cnf(s3419,plain,
( ~ spl2_164
| spl2_274 ),
inference(sat_conversion,[],[f34825]) ).
cnf(s3423,plain,
( spl2_4
| ~ spl2_296
| spl2_334 ),
inference(sat_conversion,[],[f34858]) ).
cnf(s3434,plain,
( ~ spl2_20
| ~ spl2_346
| ~ spl2_361 ),
inference(sat_conversion,[],[f34938]) ).
cnf(s3438,plain,
( spl2_299
| spl2_410
| spl2_423 ),
inference(sat_conversion,[],[f34949]) ).
cnf(s3447,plain,
( ~ spl2_466
| ~ spl2_491
| ~ spl2_603 ),
inference(sat_conversion,[],[f35099]) ).
cnf(s3448,plain,
( ~ spl2_334
| ~ spl2_466
| ~ spl2_546 ),
inference(sat_conversion,[],[f35100]) ).
cnf(s3452,plain,
( ~ spl2_278
| ~ spl2_293
| spl2_300
| spl2_303 ),
inference(sat_conversion,[],[f35107]) ).
cnf(s3454,plain,
( ~ spl2_280
| spl2_293
| spl2_294 ),
inference(sat_conversion,[],[f35109]) ).
cnf(s3458,plain,
( spl2_272
| ~ spl2_278
| ~ spl2_293
| spl2_300
| ~ spl2_302 ),
inference(sat_conversion,[],[f35114]) ).
cnf(s3463,plain,
( ~ spl2_309
| ~ spl2_344
| spl2_467 ),
inference(sat_conversion,[],[f35214]) ).
cnf(s3465,plain,
( spl2_25
| spl2_117
| ~ spl2_344 ),
inference(sat_conversion,[],[f35219]) ).
cnf(s3466,plain,
( spl2_7
| ~ spl2_32
| ~ spl2_344
| ~ spl2_432 ),
inference(sat_conversion,[],[f35221]) ).
cnf(s3469,plain,
( spl2_7
| spl2_25
| ~ spl2_344 ),
inference(sat_conversion,[],[f35225]) ).
cnf(s3472,plain,
( spl2_23
| spl2_80
| ~ spl2_344 ),
inference(sat_conversion,[],[f35230]) ).
cnf(s3492,plain,
( ~ spl2_279
| spl2_442 ),
inference(sat_conversion,[],[f35406]) ).
cnf(s3495,plain,
( ~ spl2_279
| ~ spl2_423
| ~ spl2_603 ),
inference(sat_conversion,[],[f35410]) ).
cnf(s3517,plain,
( ~ spl2_82
| spl2_312
| spl2_331 ),
inference(sat_conversion,[],[f35610]) ).
cnf(s3518,plain,
( ~ spl2_82
| spl2_289
| spl2_300 ),
inference(sat_conversion,[],[f35612]) ).
cnf(s3521,plain,
( ~ spl2_280
| ~ spl2_296
| ~ spl2_414 ),
inference(sat_conversion,[],[f35633]) ).
cnf(s3522,plain,
( ~ spl2_280
| ~ spl2_425
| ~ spl2_431 ),
inference(sat_conversion,[],[f35639]) ).
cnf(s3529,plain,
( spl2_300
| ~ spl2_467
| ~ spl2_478
| spl2_554 ),
inference(sat_conversion,[],[f35692]) ).
cnf(s3531,plain,
( ~ spl2_274
| spl2_398
| spl2_424
| ~ spl2_456 ),
inference(sat_conversion,[],[f35695]) ).
cnf(s3533,plain,
( ~ spl2_284
| spl2_293
| spl2_339 ),
inference(sat_conversion,[],[f35697]) ).
cnf(s3534,plain,
( ~ spl2_279
| ~ spl2_313
| ~ spl2_332 ),
inference(sat_conversion,[],[f35698]) ).
cnf(s3539,plain,
( ~ spl2_284
| spl2_293
| ~ spl2_347
| ~ spl2_557 ),
inference(sat_conversion,[],[f35705]) ).
cnf(s3540,plain,
( ~ spl2_284
| spl2_295
| spl2_356 ),
inference(sat_conversion,[],[f35706]) ).
cnf(s3545,plain,
( ~ spl2_284
| spl2_308
| spl2_339 ),
inference(sat_conversion,[],[f35713]) ).
cnf(s3553,plain,
( spl2_17
| ~ spl2_124 ),
inference(sat_conversion,[],[f35762]) ).
cnf(s3554,plain,
( ~ spl2_124
| spl2_342 ),
inference(sat_conversion,[],[f35768]) ).
cnf(s3582,plain,
( ~ spl2_277
| spl2_330
| spl2_346
| ~ spl2_456 ),
inference(sat_conversion,[],[f35964]) ).
cnf(s3583,plain,
( ~ spl2_39
| spl2_277
| ~ spl2_298
| ~ spl2_557 ),
inference(sat_conversion,[],[f35965]) ).
cnf(s3586,plain,
( spl2_39
| ~ spl2_68
| spl2_89 ),
inference(sat_conversion,[],[f35968]) ).
cnf(s3587,plain,
( ~ spl2_17
| spl2_62
| spl2_63 ),
inference(sat_conversion,[],[f35981]) ).
cnf(s3598,plain,
( spl2_293
| ~ spl2_313
| spl2_367 ),
inference(sat_conversion,[],[f36071]) ).
cnf(s3603,plain,
( ~ spl2_13
| ~ spl2_340
| ~ spl2_343 ),
inference(sat_conversion,[],[f36155]) ).
cnf(s3623,plain,
( ~ spl2_332
| ~ spl2_466
| ~ spl2_556 ),
inference(sat_conversion,[],[f36356]) ).
cnf(s3624,plain,
( ~ spl2_333
| ~ spl2_466
| ~ spl2_564 ),
inference(sat_conversion,[],[f36359]) ).
cnf(s3641,plain,
( ~ spl2_292
| spl2_293
| ~ spl2_300 ),
inference(sat_conversion,[],[f36600]) ).
cnf(s3642,plain,
( ~ spl2_272
| ~ spl2_331
| ~ spl2_335 ),
inference(sat_conversion,[],[f36608]) ).
cnf(s3654,plain,
( ~ spl2_300
| spl2_342
| ~ spl2_602 ),
inference(sat_conversion,[],[f36768]) ).
cnf(s3655,plain,
( ~ spl2_298
| spl2_340
| ~ spl2_602 ),
inference(sat_conversion,[],[f36770]) ).
cnf(s3657,plain,
( ~ spl2_405
| ~ spl2_467
| ~ spl2_478
| ~ spl2_593 ),
inference(sat_conversion,[],[f36822]) ).
cnf(s3662,plain,
( ~ spl2_351
| ~ spl2_410
| spl2_424 ),
inference(sat_conversion,[],[f36909]) ).
cnf(s3664,plain,
( ~ spl2_281
| ~ spl2_351
| ~ spl2_456 ),
inference(sat_conversion,[],[f36911]) ).
cnf(s3668,plain,
( ~ spl2_298
| spl2_479
| ~ spl2_600 ),
inference(sat_conversion,[],[f36939]) ).
cnf(s3671,plain,
( ~ spl2_353
| ~ spl2_544
| ~ spl2_556 ),
inference(sat_conversion,[],[f37021]) ).
cnf(s3672,plain,
( ~ spl2_346
| ~ spl2_493
| ~ spl2_544 ),
inference(sat_conversion,[],[f37023]) ).
cnf(s3675,plain,
( ~ spl2_457
| ~ spl2_468
| ~ spl2_478
| ~ spl2_574 ),
inference(sat_conversion,[],[f37122]) ).
cnf(s3678,plain,
( ~ spl2_343
| spl2_463
| ~ spl2_555
| ~ spl2_601 ),
inference(sat_conversion,[],[f37286]) ).
cnf(s3682,plain,
( ~ spl2_68
| spl2_398
| spl2_425
| ~ spl2_446 ),
inference(sat_conversion,[],[f37396]) ).
cnf(s3683,plain,
( ~ spl2_278
| spl2_306
| ~ spl2_308
| ~ spl2_446 ),
inference(sat_conversion,[],[f37397]) ).
cnf(s3695,plain,
( ~ spl2_285
| ~ spl2_343
| ~ spl2_404
| spl2_423
| ~ spl2_563 ),
inference(sat_conversion,[],[f37601]) ).
cnf(s3697,plain,
( ~ spl2_281
| spl2_398
| ~ spl2_415
| spl2_423 ),
inference(sat_conversion,[],[f37632]) ).
cnf(s3698,plain,
( ~ spl2_281
| ~ spl2_285
| spl2_463
| ~ spl2_555 ),
inference(sat_conversion,[],[f37633]) ).
cnf(s3699,plain,
( ~ spl2_281
| ~ spl2_455
| ~ spl2_467
| spl2_492 ),
inference(sat_conversion,[],[f37634]) ).
cnf(s3701,plain,
( spl2_272
| ~ spl2_278
| spl2_301 ),
inference(sat_conversion,[],[f37639]) ).
cnf(s3709,plain,
( ~ spl2_280
| ~ spl2_300
| ~ spl2_318 ),
inference(sat_conversion,[],[f37697]) ).
cnf(s3715,plain,
( ~ spl2_285
| ~ spl2_343
| spl2_375
| spl2_423 ),
inference(sat_conversion,[],[f37852]) ).
cnf(s3716,plain,
( ~ spl2_343
| spl2_375
| ~ spl2_459
| spl2_491 ),
inference(sat_conversion,[],[f37853]) ).
cnf(s3724,plain,
( ~ spl2_4
| ~ spl2_24
| spl2_331
| spl2_423
| ~ spl2_562 ),
inference(sat_conversion,[],[f37979]) ).
cnf(s3728,plain,
( ~ spl2_278
| spl2_406
| ~ spl2_415
| spl2_423 ),
inference(sat_conversion,[],[f38115]) ).
cnf(s3729,plain,
( ~ spl2_278
| ~ spl2_285
| spl2_351
| ~ spl2_555 ),
inference(sat_conversion,[],[f38116]) ).
cnf(s3731,plain,
( ~ spl2_279
| ~ spl2_290
| ~ spl2_320 ),
inference(sat_conversion,[],[f38141]) ).
cnf(s3734,plain,
( ~ spl2_278
| ~ spl2_282
| spl2_306
| ~ spl2_456 ),
inference(sat_conversion,[],[f38189]) ).
cnf(s3736,plain,
( spl2_398
| ~ spl2_415
| spl2_424
| ~ spl2_456 ),
inference(sat_conversion,[],[f38191]) ).
cnf(s3737,plain,
( ~ spl2_456
| ~ spl2_457
| ~ spl2_467
| spl2_492 ),
inference(sat_conversion,[],[f38192]) ).
cnf(s3745,plain,
( spl2_4
| ~ spl2_19
| spl2_78 ),
inference(sat_conversion,[],[f38202]) ).
cnf(s3751,plain,
( ~ spl2_316
| spl2_330
| spl2_346
| ~ spl2_456 ),
inference(sat_conversion,[],[f38208]) ).
cnf(s3752,plain,
( ~ spl2_277
| spl2_425
| spl2_427 ),
inference(sat_conversion,[],[f38209]) ).
cnf(s3756,plain,
( spl2_274
| ~ spl2_298
| spl2_332 ),
inference(sat_conversion,[],[f38214]) ).
cnf(s3761,plain,
( ~ spl2_28
| ~ spl2_29
| spl2_340
| ~ spl2_355 ),
inference(sat_conversion,[],[f38222]) ).
cnf(s3762,plain,
( ~ spl2_277
| ~ spl2_316
| spl2_346
| spl2_347
| ~ spl2_456 ),
inference(sat_conversion,[],[f38223]) ).
cnf(s3776,plain,
( spl2_287
| spl2_415
| spl2_425 ),
inference(sat_conversion,[],[f38314]) ).
cnf(s3780,plain,
( ~ spl2_28
| ~ spl2_47
| spl2_291
| ~ spl2_425 ),
inference(sat_conversion,[],[f38329]) ).
cnf(s3795,plain,
( ~ spl2_110
| ~ spl2_281
| spl2_398
| spl2_423 ),
inference(sat_conversion,[],[f38507]) ).
cnf(s3800,plain,
( ~ spl2_28
| ~ spl2_491
| ~ spl2_605 ),
inference(sat_conversion,[],[f38530]) ).
cnf(s3834,plain,
( ~ spl2_291
| spl2_340
| ~ spl2_408 ),
inference(sat_conversion,[],[f38952]) ).
cnf(s3853,plain,
( ~ spl2_277
| ~ spl2_468
| ~ spl2_554 ),
inference(sat_conversion,[],[f39065]) ).
cnf(s3855,plain,
( ~ spl2_89
| ~ spl2_478
| ~ spl2_479
| ~ spl2_591 ),
inference(sat_conversion,[],[f39068]) ).
cnf(s3857,plain,
( ~ spl2_17
| ~ spl2_24
| spl2_313
| spl2_331
| ~ spl2_562 ),
inference(sat_conversion,[],[f39070]) ).
cnf(s3863,plain,
( ~ spl2_284
| ~ spl2_367
| ~ spl2_369 ),
inference(sat_conversion,[],[f39130]) ).
cnf(s3866,plain,
( ~ spl2_29
| ~ spl2_283
| spl2_308
| ~ spl2_369 ),
inference(sat_conversion,[],[f39131]) ).
cnf(s3868,plain,
( ~ spl2_283
| spl2_343
| spl2_345 ),
inference(sat_conversion,[],[f39134]) ).
cnf(s3875,plain,
( ~ spl2_283
| spl2_339
| spl2_340 ),
inference(sat_conversion,[],[f39139]) ).
cnf(s3876,plain,
( ~ spl2_90
| ~ spl2_482
| spl2_542 ),
inference(sat_conversion,[],[f39140]) ).
cnf(s3877,plain,
( ~ spl2_47
| ~ spl2_283
| spl2_340
| ~ spl2_370 ),
inference(sat_conversion,[],[f39141]) ).
cnf(s3883,plain,
( ~ spl2_124
| spl2_478 ),
inference(sat_conversion,[],[f39159]) ).
cnf(s3884,plain,
( ~ spl2_124
| spl2_293 ),
inference(sat_conversion,[],[f39164]) ).
cnf(s3886,plain,
( ~ spl2_274
| spl2_601 ),
inference(sat_conversion,[],[f39190]) ).
cnf(s3891,plain,
( spl2_343
| ~ spl2_346
| spl2_395 ),
inference(sat_conversion,[],[f39226]) ).
cnf(s3893,plain,
( ~ spl2_15
| ~ spl2_277
| ~ spl2_291 ),
inference(sat_conversion,[],[f39246]) ).
cnf(s3900,plain,
( spl2_344
| spl2_404
| spl2_424 ),
inference(sat_conversion,[],[f39306]) ).
cnf(s3903,plain,
( ~ spl2_28
| ~ spl2_47
| spl2_340
| ~ spl2_424 ),
inference(sat_conversion,[],[f39321]) ).
cnf(s3915,plain,
( ~ spl2_330
| ~ spl2_342
| ~ spl2_555 ),
inference(sat_conversion,[],[f39457]) ).
cnf(s3920,plain,
( ~ spl2_277
| spl2_298
| spl2_405 ),
inference(sat_conversion,[],[f39463]) ).
cnf(s3921,plain,
( ~ spl2_17
| ~ spl2_24
| spl2_298
| ~ spl2_438 ),
inference(sat_conversion,[],[f39464]) ).
cnf(s3926,plain,
( ~ spl2_289
| spl2_293
| ~ spl2_342 ),
inference(sat_conversion,[],[f39576]) ).
cnf(s3928,plain,
( spl2_271
| ~ spl2_279
| ~ spl2_289 ),
inference(sat_conversion,[],[f39579]) ).
cnf(s3929,plain,
( ~ spl2_277
| ~ spl2_289
| spl2_293 ),
inference(sat_conversion,[],[f39581]) ).
cnf(s3930,plain,
( spl2_270
| ~ spl2_289
| ~ spl2_442 ),
inference(sat_conversion,[],[f39583]) ).
cnf(s3934,plain,
( ~ spl2_289
| spl2_312 ),
inference(sat_conversion,[],[f39588]) ).
cnf(s3937,plain,
( ~ spl2_289
| ~ spl2_317
| spl2_320 ),
inference(sat_conversion,[],[f39594]) ).
cnf(s3947,plain,
( ~ spl2_22
| spl2_60
| ~ spl2_289 ),
inference(sat_conversion,[],[f39604]) ).
cnf(s3948,plain,
( ~ spl2_280
| spl2_294
| spl2_308 ),
inference(sat_conversion,[],[f39605]) ).
cnf(s3950,plain,
( ~ spl2_17
| spl2_28
| spl2_89 ),
inference(sat_conversion,[],[f39610]) ).
cnf(s3961,plain,
( spl2_28
| ~ spl2_280
| ~ spl2_287 ),
inference(sat_conversion,[],[f39711]) ).
cnf(s3970,plain,
( ~ spl2_11
| spl2_278
| ~ spl2_287 ),
inference(sat_conversion,[],[f39721]) ).
cnf(s3972,plain,
( spl2_68
| spl2_88
| ~ spl2_287 ),
inference(sat_conversion,[],[f39723]) ).
cnf(s3975,plain,
( ~ spl2_28
| ~ spl2_287
| spl2_423 ),
inference(sat_conversion,[],[f39729]) ).
cnf(s3976,plain,
( spl2_7
| spl2_25
| ~ spl2_287 ),
inference(sat_conversion,[],[f39730]) ).
cnf(s3978,plain,
( spl2_7
| spl2_88
| ~ spl2_287 ),
inference(sat_conversion,[],[f39731]) ).
cnf(s3979,plain,
( ~ spl2_4
| ~ spl2_10
| spl2_425
| ~ spl2_438 ),
inference(sat_conversion,[],[f39732]) ).
cnf(s3989,plain,
( spl2_289
| spl2_459
| spl2_460 ),
inference(sat_conversion,[],[f39781]) ).
cnf(s3990,plain,
( spl2_284
| spl2_285
| spl2_289 ),
inference(sat_conversion,[],[f39782]) ).
cnf(s3991,plain,
( spl2_280
| spl2_281
| spl2_289 ),
inference(sat_conversion,[],[f39783]) ).
cnf(s3992,plain,
( spl2_271
| spl2_289
| spl2_446 ),
inference(sat_conversion,[],[f39784]) ).
cnf(s3993,plain,
( spl2_289
| spl2_457
| spl2_458 ),
inference(sat_conversion,[],[f39785]) ).
cnf(s3994,plain,
( spl2_282
| spl2_283
| spl2_289 ),
inference(sat_conversion,[],[f39786]) ).
cnf(s4040,plain,
( spl2_32
| ~ spl2_293
| ~ spl2_295
| spl2_303 ),
inference(sat_conversion,[],[f40016]) ).
cnf(s4041,plain,
( ~ spl2_94
| spl2_277
| ~ spl2_425
| ~ spl2_557 ),
inference(sat_conversion,[],[f40017]) ).
cnf(s4042,plain,
( spl2_11
| spl2_31
| ~ spl2_91 ),
inference(sat_conversion,[],[f40018]) ).
cnf(s4052,plain,
( ~ spl2_11
| spl2_15
| ~ spl2_17
| spl2_32 ),
inference(sat_conversion,[],[f40061]) ).
cnf(s4089,plain,
( spl2_32
| ~ spl2_478
| ~ spl2_542
| spl2_554 ),
inference(sat_conversion,[],[f40350]) ).
cnf(s4090,plain,
( spl2_32
| spl2_94
| ~ spl2_478
| ~ spl2_542
| ~ spl2_548 ),
inference(sat_conversion,[],[f40351]) ).
cnf(s4098,plain,
( ~ spl2_279
| ~ spl2_288
| ~ spl2_334 ),
inference(sat_conversion,[],[f40415]) ).
cnf(s4104,plain,
( spl2_18
| spl2_32
| ~ spl2_82 ),
inference(sat_conversion,[],[f40515]) ).
cnf(s4110,plain,
( spl2_32
| ~ spl2_505
| spl2_535
| ~ spl2_550 ),
inference(sat_conversion,[],[f40577]) ).
cnf(s4135,plain,
( ~ spl2_309
| spl2_353
| ~ spl2_463 ),
inference(sat_conversion,[],[f41104]) ).
cnf(s4139,plain,
( ~ spl2_272
| ~ spl2_346
| ~ spl2_558 ),
inference(sat_conversion,[],[f41141]) ).
cnf(s4142,plain,
( ~ spl2_459
| ~ spl2_492
| ~ spl2_555 ),
inference(sat_conversion,[],[f41253]) ).
cnf(s4144,plain,
( ~ spl2_309
| ~ spl2_492
| spl2_556 ),
inference(sat_conversion,[],[f41254]) ).
cnf(s4152,plain,
( spl2_11
| ~ spl2_271
| spl2_428 ),
inference(sat_conversion,[],[f41262]) ).
cnf(s4153,plain,
( ~ spl2_19
| ~ spl2_88
| spl2_479
| ~ spl2_546 ),
inference(sat_conversion,[],[f41265]) ).
cnf(s4156,plain,
( ~ spl2_346
| spl2_557 ),
inference(sat_conversion,[],[f41269]) ).
cnf(s4157,plain,
( ~ spl2_17
| spl2_20
| spl2_422 ),
inference(sat_conversion,[],[f41270]) ).
cnf(s4158,plain,
( ~ spl2_285
| spl2_290
| spl2_364 ),
inference(sat_conversion,[],[f41271]) ).
cnf(s4159,plain,
( ~ spl2_307
| ~ spl2_455
| ~ spl2_479 ),
inference(sat_conversion,[],[f41272]) ).
cnf(s4160,plain,
( ~ spl2_493
| spl2_557 ),
inference(sat_conversion,[],[f41275]) ).
cnf(s4164,plain,
( ~ spl2_24
| ~ spl2_307
| spl2_331 ),
inference(sat_conversion,[],[f41288]) ).
cnf(s4165,plain,
( ~ spl2_19
| ~ spl2_88
| ~ spl2_288
| spl2_308 ),
inference(sat_conversion,[],[f41289]) ).
cnf(s4166,plain,
( ~ spl2_4
| ~ spl2_10
| spl2_300
| ~ spl2_433 ),
inference(sat_conversion,[],[f41290]) ).
cnf(s4169,plain,
( spl2_313
| ~ spl2_455
| ~ spl2_479
| spl2_539 ),
inference(sat_conversion,[],[f41293]) ).
cnf(s4172,plain,
( spl2_278
| spl2_279
| spl2_289 ),
inference(sat_conversion,[],[f41296]) ).
cnf(s4174,plain,
( ~ spl2_340
| spl2_357
| ~ spl2_459
| spl2_556 ),
inference(sat_conversion,[],[f41299]) ).
cnf(s4175,plain,
( ~ spl2_292
| spl2_295
| ~ spl2_425 ),
inference(sat_conversion,[],[f41301]) ).
cnf(s4176,plain,
( ~ spl2_292
| ~ spl2_298
| spl2_308 ),
inference(sat_conversion,[],[f41303]) ).
cnf(s4180,plain,
( ~ spl2_340
| spl2_357
| ~ spl2_476
| spl2_527 ),
inference(sat_conversion,[],[f41307]) ).
cnf(s4181,plain,
( ~ spl2_295
| spl2_406
| ~ spl2_453
| spl2_491 ),
inference(sat_conversion,[],[f41308]) ).
cnf(s4182,plain,
( ~ spl2_11
| ~ spl2_24
| spl2_298
| ~ spl2_437 ),
inference(sat_conversion,[],[f41309]) ).
cnf(s4183,plain,
( spl2_298
| ~ spl2_340
| spl2_357
| ~ spl2_555 ),
inference(sat_conversion,[],[f41310]) ).
cnf(s4184,plain,
( ~ spl2_282
| ~ spl2_293
| spl2_303
| spl2_346 ),
inference(sat_conversion,[],[f41311]) ).
cnf(s4199,plain,
( spl2_308
| spl2_317
| ~ spl2_331 ),
inference(sat_conversion,[],[f41417]) ).
cnf(s4200,plain,
( ~ spl2_331
| spl2_557 ),
inference(sat_conversion,[],[f41418]) ).
cnf(s4203,plain,
( ~ spl2_86
| spl2_287
| spl2_300
| spl2_425 ),
inference(sat_conversion,[],[f41429]) ).
cnf(s4204,plain,
( ~ spl2_343
| spl2_375
| spl2_425
| ~ spl2_555 ),
inference(sat_conversion,[],[f41430]) ).
cnf(s4205,plain,
( ~ spl2_282
| ~ spl2_295
| spl2_406
| spl2_424 ),
inference(sat_conversion,[],[f41431]) ).
cnf(s4209,plain,
( ~ spl2_300
| spl2_557 ),
inference(sat_conversion,[],[f41448]) ).
cnf(s4234,plain,
( spl2_308
| ~ spl2_313
| spl2_367 ),
inference(sat_conversion,[],[f41596]) ).
cnf(s4246,plain,
( ~ spl2_76
| ~ spl2_86
| spl2_344
| spl2_346
| ~ spl2_369 ),
inference(sat_conversion,[],[f41742]) ).
cnf(s4247,plain,
( spl2_15
| ~ spl2_17
| spl2_300
| ~ spl2_309 ),
inference(sat_conversion,[],[f41744]) ).
cnf(s4249,plain,
( spl2_17
| spl2_361
| ~ spl2_369 ),
inference(sat_conversion,[],[f41747]) ).
cnf(s4253,plain,
( ~ spl2_280
| spl2_295
| spl2_335 ),
inference(sat_conversion,[],[f41754]) ).
cnf(s4254,plain,
( spl2_39
| ~ spl2_291
| spl2_444 ),
inference(sat_conversion,[],[f41757]) ).
cnf(s4255,plain,
( ~ spl2_453
| ~ spl2_478
| ~ spl2_479
| ~ spl2_604 ),
inference(sat_conversion,[],[f41758]) ).
cnf(s4256,plain,
( spl2_307
| ~ spl2_308
| ~ spl2_453
| spl2_556 ),
inference(sat_conversion,[],[f41759]) ).
cnf(s4258,plain,
( spl2_32
| spl2_94
| ~ spl2_342
| ~ spl2_343
| ~ spl2_374 ),
inference(sat_conversion,[],[f41761]) ).
cnf(s4259,plain,
( ~ spl2_293
| spl2_303
| ~ spl2_453
| spl2_493 ),
inference(sat_conversion,[],[f41763]) ).
cnf(s4260,plain,
( spl2_32
| ~ spl2_342
| ~ spl2_343
| spl2_359 ),
inference(sat_conversion,[],[f41764]) ).
cnf(s4261,plain,
( spl2_22
| ~ spl2_23
| spl2_298
| ~ spl2_309 ),
inference(sat_conversion,[],[f41765]) ).
cnf(s4264,plain,
( spl2_28
| ~ spl2_274
| ~ spl2_291
| spl2_398 ),
inference(sat_conversion,[],[f41770]) ).
cnf(s4265,plain,
( ~ spl2_453
| spl2_482
| spl2_483 ),
inference(sat_conversion,[],[f41771]) ).
cnf(s4268,plain,
( spl2_20
| spl2_39
| ~ spl2_277
| ~ spl2_291
| ~ spl2_316 ),
inference(sat_conversion,[],[f41775]) ).
cnf(s4269,plain,
( spl2_39
| ~ spl2_308
| spl2_604 ),
inference(sat_conversion,[],[f41776]) ).
cnf(s4272,plain,
( spl2_20
| spl2_39
| ~ spl2_293
| ~ spl2_302
| ~ spl2_308 ),
inference(sat_conversion,[],[f41779]) ).
cnf(s4280,plain,
( spl2_11
| ~ spl2_20
| spl2_66 ),
inference(sat_conversion,[],[f41810]) ).
cnf(s4294,plain,
( spl2_274
| ~ spl2_300
| spl2_319 ),
inference(sat_conversion,[],[f41900]) ).
cnf(s4307,plain,
( spl2_295
| spl2_318
| ~ spl2_331 ),
inference(sat_conversion,[],[f41955]) ).
cnf(s4334,plain,
( ~ spl2_291
| spl2_328
| spl2_353
| ~ spl2_456 ),
inference(sat_conversion,[],[f42217]) ).
cnf(s4335,plain,
( spl2_347
| ~ spl2_456
| spl2_574 ),
inference(sat_conversion,[],[f42218]) ).
cnf(s4337,plain,
( ~ spl2_20
| ~ spl2_549
| ~ spl2_556 ),
inference(sat_conversion,[],[f42269]) ).
cnf(s4340,plain,
( ~ spl2_493
| spl2_542
| spl2_549 ),
inference(sat_conversion,[],[f42272]) ).
cnf(s4341,plain,
( spl2_478
| ~ spl2_493
| spl2_497 ),
inference(sat_conversion,[],[f42273]) ).
cnf(s4343,plain,
( ~ spl2_19
| ~ spl2_498
| ~ spl2_556 ),
inference(sat_conversion,[],[f42275]) ).
cnf(s4345,plain,
( spl2_277
| ~ spl2_300
| spl2_320 ),
inference(sat_conversion,[],[f42276]) ).
cnf(s4347,plain,
( spl2_32
| ~ spl2_274
| ~ spl2_277
| spl2_330 ),
inference(sat_conversion,[],[f42278]) ).
cnf(s4351,plain,
( spl2_28
| ~ spl2_479
| spl2_541
| ~ spl2_542 ),
inference(sat_conversion,[],[f42281]) ).
cnf(s4354,plain,
( spl2_478
| ~ spl2_491
| spl2_498 ),
inference(sat_conversion,[],[f42284]) ).
cnf(s4382,plain,
( ~ spl2_19
| ~ spl2_88
| ~ spl2_546
| ~ spl2_556 ),
inference(sat_conversion,[],[f42540]) ).
cnf(s4384,plain,
( ~ spl2_278
| spl2_298
| spl2_307
| ~ spl2_308 ),
inference(sat_conversion,[],[f42572]) ).
cnf(s4385,plain,
( ~ spl2_278
| ~ spl2_295
| spl2_406
| spl2_425 ),
inference(sat_conversion,[],[f42573]) ).
cnf(s4393,plain,
( ~ spl2_300
| ~ spl2_395
| ~ spl2_412 ),
inference(sat_conversion,[],[f42685]) ).
cnf(s4395,plain,
( spl2_343
| ~ spl2_412
| spl2_558 ),
inference(sat_conversion,[],[f42686]) ).
cnf(s4400,plain,
( ~ spl2_19
| ~ spl2_313
| ~ spl2_414 ),
inference(sat_conversion,[],[f42751]) ).
cnf(s4403,plain,
( ~ spl2_10
| ~ spl2_117
| ~ spl2_293
| ~ spl2_295 ),
inference(sat_conversion,[],[f42859]) ).
cnf(s4405,plain,
( ~ spl2_282
| spl2_307
| ~ spl2_308
| spl2_353 ),
inference(sat_conversion,[],[f42883]) ).
cnf(s4414,plain,
( ~ spl2_293
| ~ spl2_453
| ~ spl2_554 ),
inference(sat_conversion,[],[f43022]) ).
cnf(s4416,plain,
( spl2_425
| ~ spl2_467
| spl2_541
| ~ spl2_542 ),
inference(sat_conversion,[],[f43024]) ).
cnf(s4417,plain,
( ~ spl2_11
| spl2_13
| ~ spl2_309
| spl2_425 ),
inference(sat_conversion,[],[f43025]) ).
cnf(s4418,plain,
( ~ spl2_19
| ~ spl2_88
| spl2_340
| ~ spl2_355 ),
inference(sat_conversion,[],[f43026]) ).
cnf(s4421,plain,
( spl2_17
| spl2_43
| ~ spl2_557 ),
inference(sat_conversion,[],[f43031]) ).
cnf(s4422,plain,
( spl2_298
| ~ spl2_467
| ~ spl2_479
| spl2_539 ),
inference(sat_conversion,[],[f43032]) ).
cnf(s4443,plain,
( ~ spl2_88
| ~ spl2_296
| ~ spl2_469
| ~ spl2_546 ),
inference(sat_conversion,[],[f43199]) ).
cnf(s4445,plain,
( ~ spl2_296
| ~ spl2_412
| ~ spl2_426 ),
inference(sat_conversion,[],[f43254]) ).
cnf(s4447,plain,
( spl2_343
| ~ spl2_412
| ~ spl2_424
| ~ spl2_425 ),
inference(sat_conversion,[],[f43256]) ).
cnf(s4448,plain,
( ~ spl2_88
| ~ spl2_296
| ~ spl2_355
| ~ spl2_412 ),
inference(sat_conversion,[],[f43258]) ).
cnf(s4449,plain,
( spl2_340
| spl2_409
| ~ spl2_412 ),
inference(sat_conversion,[],[f43261]) ).
cnf(s4451,plain,
( spl2_274
| ~ spl2_425
| spl2_603 ),
inference(sat_conversion,[],[f43262]) ).
cnf(s4453,plain,
( spl2_277
| spl2_334
| ~ spl2_425 ),
inference(sat_conversion,[],[f43264]) ).
cnf(s4455,plain,
( spl2_295
| ~ spl2_423
| spl2_431 ),
inference(sat_conversion,[],[f43266]) ).
cnf(s4456,plain,
( ~ spl2_73
| ~ spl2_347
| ~ spl2_369 ),
inference(sat_conversion,[],[f43267]) ).
cnf(s4460,plain,
( ~ spl2_22
| ~ spl2_291 ),
inference(sat_conversion,[],[f43285]) ).
cnf(s4461,plain,
( ~ spl2_22
| ~ spl2_308 ),
inference(sat_conversion,[],[f43288]) ).
cnf(s4464,plain,
( spl2_308
| spl2_414
| ~ spl2_423 ),
inference(sat_conversion,[],[f43290]) ).
cnf(s4466,plain,
( spl2_299
| spl2_470
| spl2_471 ),
inference(sat_conversion,[],[f43305]) ).
cnf(s4467,plain,
( spl2_299
| spl2_472
| spl2_473 ),
inference(sat_conversion,[],[f43306]) ).
cnf(s4468,plain,
( spl2_299
| spl2_468
| spl2_469 ),
inference(sat_conversion,[],[f43307]) ).
cnf(s4469,plain,
( spl2_288
| spl2_299
| spl2_563 ),
inference(sat_conversion,[],[f43308]) ).
cnf(s4470,plain,
( spl2_299
| spl2_466
| spl2_467 ),
inference(sat_conversion,[],[f43309]) ).
cnf(s4487,plain,
( ~ spl2_116
| ~ spl2_288
| ~ spl2_423 ),
inference(sat_conversion,[],[f43459]) ).
cnf(s4496,plain,
( ~ spl2_76
| ~ spl2_370
| ~ spl2_423 ),
inference(sat_conversion,[],[f43516]) ).
cnf(s4511,plain,
( spl2_274
| ~ spl2_407
| spl2_602 ),
inference(sat_conversion,[],[f43664]) ).
cnf(s4512,plain,
( spl2_277
| ~ spl2_407
| spl2_409 ),
inference(sat_conversion,[],[f43665]) ).
cnf(s4516,plain,
( spl2_342
| spl2_409
| ~ spl2_412 ),
inference(sat_conversion,[],[f43681]) ).
cnf(s4520,plain,
( spl2_478
| ~ spl2_556
| spl2_605 ),
inference(sat_conversion,[],[f43701]) ).
cnf(s4521,plain,
( spl2_344
| spl2_479
| spl2_564 ),
inference(sat_conversion,[],[f43708]) ).
cnf(s4522,plain,
( spl2_479
| spl2_485
| spl2_564 ),
inference(sat_conversion,[],[f43709]) ).
cnf(s4527,plain,
( ~ spl2_24
| spl2_300
| ~ spl2_328 ),
inference(sat_conversion,[],[f43759]) ).
cnf(s4530,plain,
( ~ spl2_39
| ~ spl2_313
| ~ spl2_317 ),
inference(sat_conversion,[],[f43777]) ).
cnf(s4533,plain,
( spl2_32
| ~ spl2_117
| ~ spl2_343
| ~ spl2_374 ),
inference(sat_conversion,[],[f43827]) ).
cnf(s4534,plain,
( ~ spl2_11
| ~ spl2_24
| spl2_32
| ~ spl2_117 ),
inference(sat_conversion,[],[f43828]) ).
cnf(s4544,plain,
( ~ spl2_10
| spl2_346
| ~ spl2_375 ),
inference(sat_conversion,[],[f43950]) ).
cnf(s4567,plain,
( ~ spl2_278
| ~ spl2_453
| ~ spl2_492 ),
inference(sat_conversion,[],[f44376]) ).
cnf(s4568,plain,
( ~ spl2_316
| ~ spl2_492
| spl2_493 ),
inference(sat_conversion,[],[f44377]) ).
cnf(s4569,plain,
( ~ spl2_407
| ~ spl2_457
| spl2_541
| ~ spl2_542
| ~ spl2_603 ),
inference(sat_conversion,[],[f44379]) ).
cnf(s4576,plain,
( ~ spl2_10
| spl2_493
| ~ spl2_541 ),
inference(sat_conversion,[],[f44454]) ).
cnf(s4577,plain,
( spl2_274
| ~ spl2_466
| spl2_600 ),
inference(sat_conversion,[],[f44455]) ).
cnf(s4578,plain,
( ~ spl2_274
| spl2_398
| ~ spl2_468
| spl2_491 ),
inference(sat_conversion,[],[f44456]) ).
cnf(s4581,plain,
( spl2_353
| ~ spl2_457
| ~ spl2_479
| spl2_539 ),
inference(sat_conversion,[],[f44459]) ).
cnf(s4583,plain,
( spl2_346
| ~ spl2_475
| ~ spl2_505
| spl2_535 ),
inference(sat_conversion,[],[f44461]) ).
cnf(s4584,plain,
( ~ spl2_291
| spl2_328
| ~ spl2_468
| spl2_556 ),
inference(sat_conversion,[],[f44462]) ).
cnf(s4585,plain,
( ~ spl2_4
| ~ spl2_303
| spl2_423 ),
inference(sat_conversion,[],[f44463]) ).
cnf(s4587,plain,
( spl2_424
| ~ spl2_457
| spl2_541
| ~ spl2_542 ),
inference(sat_conversion,[],[f44465]) ).
cnf(s4588,plain,
( ~ spl2_281
| ~ spl2_291
| spl2_313
| spl2_328 ),
inference(sat_conversion,[],[f44466]) ).
cnf(s4594,plain,
( spl2_11
| ~ spl2_28
| spl2_76 ),
inference(sat_conversion,[],[f44489]) ).
cnf(s4622,plain,
( ~ spl2_5
| spl2_331
| spl2_423 ),
inference(sat_conversion,[],[f44703]) ).
cnf(s4623,plain,
( ~ spl2_5
| spl2_300
| spl2_425 ),
inference(sat_conversion,[],[f44709]) ).
cnf(s4625,plain,
( ~ spl2_5
| ~ spl2_28
| spl2_346
| ~ spl2_361 ),
inference(sat_conversion,[],[f44711]) ).
cnf(s4626,plain,
( ~ spl2_5
| ~ spl2_28
| spl2_331
| ~ spl2_367 ),
inference(sat_conversion,[],[f44713]) ).
cnf(s4631,plain,
( ~ spl2_281
| spl2_290
| spl2_365 ),
inference(sat_conversion,[],[f44720]) ).
cnf(s4632,plain,
( spl2_277
| ~ spl2_298
| spl2_333 ),
inference(sat_conversion,[],[f44721]) ).
cnf(s4634,plain,
( ~ spl2_4
| ~ spl2_330
| spl2_425 ),
inference(sat_conversion,[],[f44723]) ).
cnf(s4635,plain,
( spl2_94
| ~ spl2_274
| spl2_382 ),
inference(sat_conversion,[],[f44724]) ).
cnf(s4638,plain,
( spl2_20
| ~ spl2_293
| spl2_303
| ~ spl2_308 ),
inference(sat_conversion,[],[f44727]) ).
cnf(s4639,plain,
( spl2_32
| spl2_94
| ~ spl2_274
| ~ spl2_277
| ~ spl2_316 ),
inference(sat_conversion,[],[f44728]) ).
cnf(s4640,plain,
( ~ spl2_277
| ~ spl2_281
| spl2_290
| ~ spl2_316
| spl2_331 ),
inference(sat_conversion,[],[f44729]) ).
cnf(s4647,plain,
( spl2_6
| ~ spl2_287
| ~ spl2_330 ),
inference(sat_conversion,[],[f44822]) ).
cnf(s4650,plain,
( spl2_7
| ~ spl2_274
| ~ spl2_287 ),
inference(sat_conversion,[],[f44825]) ).
cnf(s4653,plain,
( ~ spl2_7
| ~ spl2_287
| spl2_559 ),
inference(sat_conversion,[],[f44830]) ).
cnf(s4656,plain,
( spl2_68
| ~ spl2_281
| ~ spl2_287 ),
inference(sat_conversion,[],[f44836]) ).
cnf(s4657,plain,
( spl2_23
| spl2_80
| ~ spl2_287 ),
inference(sat_conversion,[],[f44838]) ).
cnf(s4660,plain,
( ~ spl2_5
| spl2_25
| spl2_32
| ~ spl2_287 ),
inference(sat_conversion,[],[f44840]) ).
cnf(s4665,plain,
( spl2_287
| spl2_452
| spl2_453 ),
inference(sat_conversion,[],[f44857]) ).
cnf(s4666,plain,
( spl2_287
| spl2_412
| spl2_456 ),
inference(sat_conversion,[],[f44858]) ).
cnf(s4667,plain,
( spl2_287
| spl2_407
| spl2_555 ),
inference(sat_conversion,[],[f44859]) ).
cnf(s4668,plain,
( spl2_287
| spl2_454
| spl2_455 ),
inference(sat_conversion,[],[f44860]) ).
cnf(s4670,plain,
( ~ spl2_7
| spl2_117 ),
inference(sat_conversion,[],[f44881]) ).
cnf(s4673,plain,
( spl2_312
| spl2_474
| spl2_475 ),
inference(sat_conversion,[],[f44933]) ).
cnf(s4674,plain,
( spl2_312
| spl2_412
| spl2_456 ),
inference(sat_conversion,[],[f44934]) ).
cnf(s4677,plain,
( spl2_312
| spl2_476
| spl2_477 ),
inference(sat_conversion,[],[f44937]) ).
cnf(s4682,plain,
( ~ spl2_8
| spl2_425 ),
inference(sat_conversion,[],[f44946]) ).
cnf(s4690,plain,
( spl2_343
| spl2_344
| spl2_355 ),
inference(sat_conversion,[],[f45023]) ).
cnf(s4697,plain,
( ~ spl2_19
| ~ spl2_88
| ~ spl2_353
| ~ spl2_355 ),
inference(sat_conversion,[],[f45066]) ).
cnf(s4701,plain,
( spl2_342
| ~ spl2_353
| spl2_361 ),
inference(sat_conversion,[],[f45067]) ).
cnf(s4702,plain,
( spl2_28
| ~ spl2_295
| ~ spl2_308
| spl2_406 ),
inference(sat_conversion,[],[f45068]) ).
cnf(s4703,plain,
( ~ spl2_279
| spl2_291
| spl2_294 ),
inference(sat_conversion,[],[f45069]) ).
cnf(s4704,plain,
( spl2_4
| ~ spl2_355
| spl2_426 ),
inference(sat_conversion,[],[f45070]) ).
cnf(s4705,plain,
( spl2_277
| ~ spl2_279
| spl2_294 ),
inference(sat_conversion,[],[f45071]) ).
cnf(s4708,plain,
( ~ spl2_4
| spl2_86
| spl2_104 ),
inference(sat_conversion,[],[f45090]) ).
cnf(s4720,plain,
( spl2_291
| ~ spl2_300
| spl2_320 ),
inference(sat_conversion,[],[f45178]) ).
cnf(s4722,plain,
( spl2_293
| spl2_317
| ~ spl2_331 ),
inference(sat_conversion,[],[f45194]) ).
cnf(s4736,plain,
( ~ spl2_274
| ~ spl2_281
| spl2_398
| spl2_423 ),
inference(sat_conversion,[],[f45315]) ).
cnf(s4738,plain,
( spl2_340
| spl2_341
| spl2_369 ),
inference(sat_conversion,[],[f45323]) ).
cnf(s4743,plain,
( spl2_502
| spl2_542
| spl2_546 ),
inference(sat_conversion,[],[f45346]) ).
cnf(s4765,plain,
( ~ spl2_39
| spl2_505
| ~ spl2_527
| ~ spl2_557 ),
inference(sat_conversion,[],[f45700]) ).
cnf(s4768,plain,
( ~ spl2_7
| ~ spl2_398
| spl2_425 ),
inference(sat_conversion,[],[f45704]) ).
cnf(s4769,plain,
( ~ spl2_11
| spl2_298
| ~ spl2_398 ),
inference(sat_conversion,[],[f45705]) ).
cnf(s4770,plain,
( spl2_20
| ~ spl2_478
| ~ spl2_479
| spl2_554 ),
inference(sat_conversion,[],[f45706]) ).
cnf(s4771,plain,
( spl2_11
| ~ spl2_369
| spl2_429 ),
inference(sat_conversion,[],[f45708]) ).
cnf(s4772,plain,
( ~ spl2_285
| spl2_331
| ~ spl2_342
| spl2_359 ),
inference(sat_conversion,[],[f45709]) ).
cnf(s4773,plain,
( ~ spl2_282
| spl2_347
| spl2_348 ),
inference(sat_conversion,[],[f45710]) ).
cnf(s4774,plain,
( spl2_20
| ~ spl2_277
| ~ spl2_291
| spl2_330 ),
inference(sat_conversion,[],[f45712]) ).
cnf(s4775,plain,
( spl2_312
| spl2_370
| spl2_562 ),
inference(sat_conversion,[],[f45713]) ).
cnf(s4776,plain,
( spl2_274
| ~ spl2_279
| spl2_292 ),
inference(sat_conversion,[],[f45714]) ).
cnf(s4777,plain,
( ~ spl2_10
| spl2_300
| ~ spl2_398 ),
inference(sat_conversion,[],[f45715]) ).
cnf(s4778,plain,
( ~ spl2_7
| spl2_9
| spl2_28
| ~ spl2_68 ),
inference(sat_conversion,[],[f45716]) ).
cnf(s4780,plain,
( ~ spl2_4
| spl2_6
| spl2_20
| ~ spl2_68 ),
inference(sat_conversion,[],[f45718]) ).
cnf(s4782,plain,
( spl2_4
| spl2_498
| ~ spl2_546 ),
inference(sat_conversion,[],[f45720]) ).
cnf(s4786,plain,
( ~ spl2_11
| spl2_64
| spl2_65 ),
inference(sat_conversion,[],[f45745]) ).
cnf(s4797,plain,
( spl2_291
| spl2_334
| ~ spl2_425 ),
inference(sat_conversion,[],[f45790]) ).
cnf(s4807,plain,
( spl2_291
| ~ spl2_298
| spl2_333 ),
inference(sat_conversion,[],[f45844]) ).
cnf(s4821,plain,
( spl2_340
| ~ spl2_424
| spl2_426 ),
inference(sat_conversion,[],[f45919]) ).
cnf(s4855,plain,
( ~ spl2_283
| ~ spl2_361
| ~ spl2_370 ),
inference(sat_conversion,[],[f46408]) ).
cnf(s4857,plain,
( ~ spl2_88
| ~ spl2_355
| ~ spl2_458
| ~ spl2_546 ),
inference(sat_conversion,[],[f46460]) ).
cnf(s4858,plain,
( spl2_343
| ~ spl2_424
| ~ spl2_458
| ~ spl2_491 ),
inference(sat_conversion,[],[f46462]) ).
cnf(s4859,plain,
( ~ spl2_426
| ~ spl2_458
| ~ spl2_546 ),
inference(sat_conversion,[],[f46464]) ).
cnf(s4860,plain,
( spl2_342
| ~ spl2_458
| spl2_544 ),
inference(sat_conversion,[],[f46465]) ).
cnf(s4861,plain,
( ~ spl2_285
| spl2_375
| spl2_303
| spl2_351
| ~ spl2_343
| ~ spl2_28
| ~ spl2_47
| spl2_20
| ~ spl2_96 ),
inference(rat,[],[s4638,s2172,s1821,s3715]) ).
cnf(s4862,plain,
( ~ spl2_453
| ~ spl2_293
| spl2_406
| spl2_303
| spl2_554
| ~ spl2_295
| ~ spl2_28
| ~ spl2_47
| spl2_20
| ~ spl2_94 ),
inference(rat,[],[s4770,s4341,s2374,s2421,s4259,s4181]) ).
cnf(s4863,plain,
( ~ spl2_293
| ~ spl2_339
| ~ spl2_283
| spl2_406
| spl2_541
| spl2_303
| spl2_554
| spl2_307
| ~ spl2_295
| ~ spl2_28
| spl2_289
| ~ spl2_47
| ~ spl2_17
| spl2_20
| spl2_287
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4587,s3993,s3876,s2368,s2340,s4770,s2997,s4665,s4862,s2329,s1115,s3000,s3877,s1099,s2766,s2122,s4638,s3171,s166,s1956,s2744]) ).
cnf(s4864,plain,
( ~ spl2_491
| spl2_554
| ~ spl2_28
| ~ spl2_47
| spl2_20
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s2340,s4770,s2772,s2374,s2421]) ).
cnf(s4865,plain,
( spl2_293
| ~ spl2_452
| ~ spl2_284
| ~ spl2_330
| spl2_554
| ~ spl2_456
| ~ spl2_468
| spl2_289
| spl2_485
| ~ spl2_60
| ~ spl2_17
| spl2_20
| spl2_287
| ~ spl2_557 ),
inference(rat,[],[s3000,s1099,s1173,s1798,s1733,s3398,s4522,s3993,s4770,s3675,s2968,s4667,s3915,s1115,s4335,s1162,s3539]) ).
cnf(s4866,plain,
( spl2_270
| ~ spl2_110
| ~ spl2_28
| spl2_289
| spl2_312
| spl2_485
| ~ spl2_60
| ~ spl2_17
| ~ spl2_29
| spl2_20
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3000,s2120,s1099,s3994,s2652,s2122,s4863,s2766,s3545,s4638,s3171,s4865,s4665,s4181,s4864,s3990,s4861,s4774,s1665,s2852,s3024,s1407,s3853,s1272,s3664,s1546,s790,s784,s3991,s4674,s4468,s750,s792,s847,s1015,s1677,s3244,s2673,s2597,s1203,s838,s173,s166,s79,s1909,s1385]) ).
cnf(s4867,plain,
( ~ spl2_425
| ~ spl2_277
| ~ spl2_270
| ~ spl2_28
| ~ spl2_47
| ~ spl2_17
| spl2_20 ),
inference(rat,[],[s952,s4774,s2190,s3780,s2070]) ).
cnf(s4868,plain,
( spl2_293
| ~ spl2_281
| ~ spl2_415
| ~ spl2_274
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3393,s2090,s1815,s1162,s2597,s173,s166]) ).
cnf(s4869,plain,
( ~ spl2_281
| ~ spl2_415
| ~ spl2_277
| ~ spl2_274
| ~ spl2_28
| ~ spl2_47
| spl2_20
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2172,s3393,s4638,s3173,s4868,s1407]) ).
cnf(s4870,plain,
( spl2_303
| ~ spl2_494
| ~ spl2_453
| ~ spl2_293
| ~ spl2_280
| ~ spl2_277
| ~ spl2_47
| spl2_39
| spl2_20 ),
inference(rat,[],[s4268,s1122,s1546,s2902,s2176,s4259,s4638]) ).
cnf(s4871,plain,
( ~ spl2_330
| ~ spl2_313
| ~ spl2_293
| ~ spl2_270
| spl2_289
| ~ spl2_17 ),
inference(rat,[],[s1648,s4172,s2234,s1393,s952]) ).
cnf(s4872,plain,
( ~ spl2_453
| ~ spl2_293
| ~ spl2_280
| ~ spl2_277
| ~ spl2_274
| ~ spl2_270
| ~ spl2_110
| ~ spl2_28
| ~ spl2_60
| ~ spl2_17
| ~ spl2_29
| spl2_39
| spl2_20
| spl2_299
| spl2_344
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s4180,s4677,s2538,s2537,s1173,s3921,s2874,s1737,s2194,s2434,s2131,s4720,s1620,s4466,s4172,s3340,s3994,s2427,s3492,s2340,s1610,s2551,s4770,s1547,s1597,s2176,s2238,s2950,s1546,s2662,s4774,s4871,s1048,s4870,s2840,s4468,s4470,s2380,s2377,s2557,s4864,s4414,s14,s2058,s1340,s2796,s2064,s1385,s1972,s4867,s79]) ).
cnf(s4873,plain,
( ~ spl2_291
| ~ spl2_442
| ~ spl2_293
| ~ spl2_280
| ~ spl2_277
| ~ spl2_270
| spl2_289
| ~ spl2_17
| spl2_39
| spl2_20 ),
inference(rat,[],[s2552,s4164,s3709,s3171,s1122,s4871,s4268,s4774,s14]) ).
cnf(s4874,plain,
( ~ spl2_293
| ~ spl2_280
| ~ spl2_277
| ~ spl2_274
| ~ spl2_270
| ~ spl2_110
| ~ spl2_28
| ~ spl2_60
| ~ spl2_17
| ~ spl2_29
| spl2_39
| spl2_20
| spl2_287
| spl2_299
| spl2_344
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s4638,s1048,s2176,s2238,s1546,s4873,s2551,s2425,s4665,s4872,s79,s1340,s2796,s2064]) ).
cnf(s4875,plain,
( ~ spl2_284
| ~ spl2_330
| ~ spl2_294
| spl2_293
| spl2_287
| ~ spl2_557 ),
inference(rat,[],[s3915,s4667,s1115,s2235,s3539]) ).
cnf(s4876,plain,
( ~ spl2_330
| spl2_423
| ~ spl2_294
| spl2_293
| ~ spl2_110
| ~ spl2_28
| ~ spl2_17
| spl2_287
| spl2_344
| spl2_18
| ~ spl2_96
| ~ spl2_557 ),
inference(rat,[],[s4667,s3915,s1798,s4701,s2325,s1535,s3900,s1821,s3695,s1889,s4875,s1743,s2234,s952,s1385,s3201,s1909]) ).
cnf(s4877,plain,
( ~ spl2_284
| ~ spl2_331
| ~ spl2_437
| ~ spl2_294
| spl2_293
| ~ spl2_343
| spl2_287 ),
inference(rat,[],[s2739,s1446,s4667,s2123,s2235,s1090]) ).
cnf(s4878,plain,
( ~ spl2_453
| spl2_406
| ~ spl2_400
| ~ spl2_308
| ~ spl2_110
| ~ spl2_28
| ~ spl2_17
| ~ spl2_19 ),
inference(rat,[],[s2332,s4354,s2374,s4181,s4343,s2600,s2339,s79,s77,s1909]) ).
cnf(s4879,plain,
( ~ spl2_277
| ~ spl2_274
| ~ spl2_110
| ~ spl2_28
| ~ spl2_17
| spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2647,s4468,s4770,s2380,s2968,s2866,s4142,s4665,s3989,s4667,s4878,s3132,s1798,s4701,s2325,s1535,s3900,s1821,s2108,s3695,s1889,s4877,s3857,s3288,s1743,s2192,s2176,s2238,s4152,s4720,s1546,s4774,s4876,s3731,s4172,s2245,s3393,s2551,s2090,s2759,s3454,s1162,s4874,s3991,s4869,s1972,s4867,s2673,s2597,s3466,s2116,s1203,s838,s14,s79,s1385,s3201,s1909,s4866,s1340,s2058,s2350,s2796,s1325,s173,s2064,s77,s1763,s1300,s1956,s2744,s166,s19,s2180,s147]) ).
cnf(s4880,plain,
( ~ spl2_313
| ~ spl2_279
| ~ spl2_293
| ~ spl2_281
| spl2_277
| ~ spl2_110
| spl2_15
| ~ spl2_28
| spl2_289
| ~ spl2_17
| spl2_287
| spl2_18
| ~ spl2_32 ),
inference(rat,[],[s4184,s1406,s3994,s1889,s1787,s1785,s2150,s2235,s4512,s4667,s2733,s4247,s3795,s1138,s2553,s2234,s2229,s1385,s784,s4705,s3492]) ).
cnf(s4881,plain,
( ~ spl2_281
| spl2_277
| ~ spl2_274
| ~ spl2_110
| spl2_15
| ~ spl2_28
| spl2_289
| ~ spl2_47
| ~ spl2_17
| spl2_20
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2009,s1173,s1889,s2155,s2235,s4667,s2733,s3795,s2172,s4638,s3171,s1048,s2166,s4880,s4631,s3251,s4705,s4172,s4385,s4868,s1665,s1300,s1956,s2744,s838,s173,s1909,s1385,s1972,s4041,s2673,s166]) ).
cnf(s4882,plain,
( ~ spl2_284
| ~ spl2_294
| spl2_308
| ~ spl2_313
| ~ spl2_601
| ~ spl2_343
| spl2_287 ),
inference(rat,[],[s3678,s4135,s4667,s2122,s2235,s3545,s1138,s2234]) ).
cnf(s4883,plain,
( spl2_308
| ~ spl2_313
| ~ spl2_280
| ~ spl2_415
| ~ spl2_272
| ~ spl2_274
| ~ spl2_270
| ~ spl2_110
| ~ spl2_28
| spl2_289
| ~ spl2_47
| spl2_20
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4770,s2997,s2833,s4665,s4468,s4862,s2380,s2866,s4142,s4667,s3989,s1406,s1627,s3135,s1115,s1787,s2329,s3994,s4666,s3900,s1437,s3024,s2108,s3695,s3715,s1889,s4882,s4172,s2245,s3393,s3948,s2172,s2766,s1300,s1956,s2744,s3466,s2116,s1203,s838,s173,s166,s1385,s3201,s1909,s3886,s1162,s2760,s3326,s2673]) ).
cnf(s4884,plain,
( ~ spl2_308
| ~ spl2_280
| spl2_277
| ~ spl2_274
| ~ spl2_110
| ~ spl2_28
| spl2_289
| spl2_312
| ~ spl2_47
| ~ spl2_422
| ~ spl2_17
| spl2_299
| spl2_344
| ~ spl2_32 ),
inference(rat,[],[s2473,s4673,s3903,s2502,s2153,s2874,s2150,s4512,s2434,s2507,s2131,s4466,s4172,s2427,s3492,s3994,s2551,s1611,s3642,s1381,s2165,s1385,s1162,s2760,s3326,s784,s2673]) ).
cnf(s4885,plain,
( ~ spl2_274
| spl2_15
| ~ spl2_28
| ~ spl2_17
| spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3171,s4164,s4883,s4199,s4884,s1162,s2760,s3326,s3991,s4881,s1972,s784,s4041,s4879,s2673,s3466,s1203,s14,s4157,s79,s4866,s2138,s54,s7,s2116,s1340,s2058,s2350,s2796,s1325,s173,s2064,s77,s1763,s1300,s1956,s2744,s166,s19,s2180,s147]) ).
cnf(s4886,plain,
( spl2_274
| spl2_39
| spl2_20
| ~ spl2_31
| ~ spl2_96
| ~ spl2_32
| ~ spl2_91 ),
inference(rat,[],[s4268,s1122,s1604,s1236,s891,s790]) ).
cnf(s4887,plain,
( ~ spl2_277
| ~ spl2_343
| ~ spl2_563
| ~ spl2_295
| ~ spl2_387
| ~ spl2_15
| ~ spl2_28
| ~ spl2_274
| spl2_289
| ~ spl2_47
| ~ spl2_17
| spl2_20
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2968,s4770,s4665,s2657,s4181,s4468,s4864,s2381,s2866,s4142,s4667,s3989,s1798,s3132,s4701,s2325,s1535,s3900,s1821,s2108,s3695,s1889,s4877,s2192,s3709,s2552,s2090,s2759,s1743,s3454,s1162,s3857,s3598,s2594,s3288,s1597,s2176,s3991,s4869,s1972,s3780,s1546,s3893,s2673,s2597,s1300,s1956,s2744,s3466,s2116,s1203,s838,s173,s166,s14]) ).
cnf(s4888,plain,
( ~ spl2_281
| spl2_277
| ~ spl2_343
| ~ spl2_295
| ~ spl2_15
| ~ spl2_28
| ~ spl2_274
| spl2_289
| ~ spl2_47
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1437,s3715,s3994,s1889,s1787,s2235,s4512,s4667,s2733,s4736,s4705,s2172,s4172,s2594,s4385,s4868,s1665,s1300,s1956,s2744,s838,s173,s1972,s4041,s2673,s166]) ).
cnf(s4889,plain,
( ~ spl2_28
| ~ spl2_17
| spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2593,s2997,s2833,s4665,s4468,s4862,s2381,s2866,s4142,s4667,s3989,s1406,s1627,s3135,s1115,s1787,s2329,s3994,s4666,s3900,s1437,s3024,s2108,s3695,s3715,s1889,s4882,s4172,s3171,s779,s4164,s3393,s4199,s3948,s2172,s2766,s2594,s1162,s2760,s3326,s3991,s4888,s847,s1972,s784,s4041,s4887,s1078,s4469,s2694,s1387,s1358,s1503,s1502,s2586,s2588,s65,s68,s4885,s2673,s3466,s2116,s1203,s838,s14,s79,s2058,s1340,s2796,s2064,s77,s1763,s1300,s1956,s2744,s3886,s4886,s1325,s2180,s4042,s2597,s173,s166,s147]) ).
cnf(s4890,plain,
( ~ spl2_284
| ~ spl2_279
| ~ spl2_407
| ~ spl2_343
| ~ spl2_370
| ~ spl2_68
| ~ spl2_274
| ~ spl2_29
| spl2_287 ),
inference(rat,[],[s4666,s1677,s3024,s1648,s3092,s2235,s2652]) ).
cnf(s4891,plain,
( spl2_423
| ~ spl2_343
| ~ spl2_295
| ~ spl2_370
| ~ spl2_281
| ~ spl2_68
| ~ spl2_274
| spl2_289
| ~ spl2_29
| spl2_287
| spl2_18 ),
inference(rat,[],[s1627,s1787,s1677,s3994,s4666,s1437,s3024,s3715,s1889,s4890,s4172,s4667,s1697,s2733,s4736]) ).
cnf(s4892,plain,
( ~ spl2_423
| spl2_308
| ~ spl2_293
| ~ spl2_24
| ~ spl2_17
| ~ spl2_19
| ~ spl2_94 ),
inference(rat,[],[s3171,s4164,s4400,s4199,s4464,s2085]) ).
cnf(s4893,plain,
( spl2_343
| ~ spl2_422
| ~ spl2_19
| spl2_344
| ~ spl2_32
| ~ spl2_88 ),
inference(rat,[],[s2148,s1446,s4418,s1113,s2960,s4690,s2597,s2116]) ).
cnf(s4894,plain,
( spl2_308
| ~ spl2_293
| ~ spl2_281
| ~ spl2_343
| ~ spl2_68
| ~ spl2_274
| spl2_289
| ~ spl2_24
| ~ spl2_17
| ~ spl2_29
| ~ spl2_19
| ~ spl2_31
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_94 ),
inference(rat,[],[s4891,s2696,s4892,s2741,s2766]) ).
cnf(s4895,plain,
( ~ spl2_293
| ~ spl2_281
| spl2_28
| ~ spl2_274
| spl2_289
| ~ spl2_422
| ~ spl2_24
| ~ spl2_17
| ~ spl2_29
| ~ spl2_19
| ~ spl2_31
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s814,s4702,s2165,s4894,s147,s1203,s838,s1353,s1300,s1956,s2744,s4893,s3466,s2116,s173,s166,s1665]) ).
cnf(s4896,plain,
( ~ spl2_281
| spl2_28
| ~ spl2_274
| spl2_289
| ~ spl2_422
| ~ spl2_24
| ~ spl2_17
| ~ spl2_29
| ~ spl2_19
| ~ spl2_31
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2766,s4891,s4702,s2090,s930,s1162,s4895,s1665,s838,s1353,s1300,s1956,s2744,s4893,s3466,s2116,s173,s166]) ).
cnf(s4897,plain,
( spl2_308
| ~ spl2_293
| ~ spl2_280
| ~ spl2_343
| spl2_28
| ~ spl2_274
| ~ spl2_17
| spl2_39
| ~ spl2_19
| spl2_20
| ~ spl2_31
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_94 ),
inference(rat,[],[s3994,s1787,s1437,s4512,s3715,s4172,s4667,s1889,s1697,s2733,s4882,s4873,s4264,s3171,s1546,s2010,s2696,s2771,s3948,s2176,s4892,s2741,s2766,s14,s79,s1340,s2796,s2064,s77,s3886,s1353,s1015]) ).
cnf(s4898,plain,
( ~ spl2_293
| ~ spl2_280
| spl2_28
| ~ spl2_17
| spl2_39
| ~ spl2_19
| spl2_20
| ~ spl2_31
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2155,s4738,s4264,s2614,s1697,s2131,s1437,s4172,s3994,s3492,s1611,s2553,s2085,s2230,s3438,s814,s1381,s1633,s2165,s4897,s1300,s1956,s2744,s1203,s838,s79,s2224,s1340,s2796,s2064,s77,s4886,s2597,s147,s3950,s4893,s4157,s3466,s2116,s173,s166]) ).
cnf(s4899,plain,
( ~ spl2_291
| ~ spl2_277
| ~ spl2_294
| spl2_293
| ~ spl2_270
| ~ spl2_343
| spl2_28
| ~ spl2_274
| ~ spl2_17
| spl2_20
| spl2_287
| spl2_18
| ~ spl2_96
| ~ spl2_557 ),
inference(rat,[],[s1535,s1786,s1821,s1743,s1627,s1889,s2234,s4667,s4875,s952,s2733,s4774,s4264]) ).
cnf(s4900,plain,
( spl2_11
| spl2_7
| spl2_10
| spl2_4 ),
inference(rat,[],[s2192,s4877,s3709,s3990,s2552,s2108,s3857,s4702,s3288,s2238,s2176,s1546,s4899,s784,s2551,s3326,s2759,s2760,s3454,s930,s1162,s4898,s1015,s3991,s4896,s4893,s4889,s4886,s1340,s79,s2064,s2796,s4157,s77,s14,s8,s19,s1325,s1763,s2180,s4042,s147,s2673,s2597,s1300,s1956,s2744,s3466,s2116,s838,s173,s166,s88]) ).
cnf(s4903,plain,
( ~ spl2_47
| ~ spl2_277
| ~ spl2_295
| ~ spl2_343
| spl2_308
| ~ spl2_281
| spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3000,s1115,s1099,s2560,s1173,s2122,s4770,s2174,s3545,s2997,s3989,s3990,s4665,s3716,s4861,s4862,s4864,s3664,s3024,s3853,s4666,s4468,s3171,s1677,s3244,s1272,s4867,s3780,s3776,s4869,s2673,s2597,s1203,s58,s92,s1665,s2766,s838,s173,s166,s1407]) ).
cnf(s4904,plain,
( ~ spl2_277
| ~ spl2_295
| ~ spl2_343
| spl2_308
| ~ spl2_281
| spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1138,s1121,s967,s1149,s79,s4903,s3173]) ).
cnf(s4905,plain,
( ~ spl2_398
| ~ spl2_294
| spl2_277
| ~ spl2_343
| ~ spl2_293
| ~ spl2_17
| ~ spl2_11
| spl2_287
| spl2_18 ),
inference(rat,[],[s2009,s1173,s1889,s3171,s1737,s2235,s2234,s4632,s4667,s4769,s2733]) ).
cnf(s4906,plain,
( ~ spl2_423
| spl2_308
| ~ spl2_293
| ~ spl2_24
| ~ spl2_17
| ~ spl2_28
| ~ spl2_94 ),
inference(rat,[],[s3171,s4164,s4234,s4199,s3151,s2085]) ).
cnf(s4907,plain,
( ~ spl2_343
| spl2_308
| ~ spl2_281
| spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1648,s847,s4905,s784,s4904,s1300,s1956,s2744,s838,s4172,s1697,s2696,s2741,s1509,s86,s967,s4769,s1203,s173,s4736,s4906,s14,s58,s92,s166]) ).
cnf(s4908,plain,
( spl2_308
| ~ spl2_281
| spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2148,s1173,s1446,s1113,s1419,s2960,s4907,s86,s967,s4769,s4736,s4906,s2597,s2116,s173,s166,s14,s4157,s58,s92]) ).
cnf(s4909,plain,
( ~ spl2_281
| spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2234,s1648,s4172,s1138,s847,s4385,s4417,s784,s4041,s940,s1407,s1048,s814,s4638,s2165,s4908,s1665,s166,s147,s2673,s4157,s58,s92]) ).
cnf(s4910,plain,
( ~ spl2_271
| ~ spl2_442
| spl2_308
| ~ spl2_280
| ~ spl2_293
| ~ spl2_24
| ~ spl2_17 ),
inference(rat,[],[s3709,s1848,s3642,s2552,s1138,s4164,s967,s3171,s79,s2238,s2176,s2551]) ).
cnf(s4911,plain,
( spl2_308
| ~ spl2_280
| spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| spl2_39
| ~ spl2_11
| spl2_287
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s3171,s2234,s4164,s1138,s3642,s4417,s784,s4041,s2773,s4873,s1546,s4910,s2551,s2771,s3948,s2766,s58,s14,s1015]) ).
cnf(s4912,plain,
( ~ spl2_343
| ~ spl2_278
| spl2_357
| ~ spl2_282
| spl2_291
| spl2_341
| ~ spl2_47
| ~ spl2_274
| ~ spl2_389 ),
inference(rat,[],[s2155,s4738,s2131,s3004]) ).
cnf(s4913,plain,
( spl2_291
| spl2_341
| ~ spl2_78
| ~ spl2_313
| ~ spl2_308
| ~ spl2_280
| spl2_289
| ~ spl2_293
| ~ spl2_274
| ~ spl2_24
| ~ spl2_389
| ~ spl2_432 ),
inference(rat,[],[s1173,s2248,s1419,s2960,s4912,s4172,s1429,s1620,s3492,s3994,s2551,s1610,s2238,s1597,s1546,s79,s1149]) ).
cnf(s4914,plain,
( spl2_289
| ~ spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3492,s2551,s4172,s3642,s1593,s784,s3279,s4774,s4913,s2224,s86,s2064,s4871,s1149,s1048,s1381,s4638,s2165,s4911,s1015,s3991,s4909,s2673,s2116,s838,s173,s166,s1349,s14,s4157,s2796,s58,s92]) ).
cnf(s4915,plain,
( ~ spl2_289
| spl2_23 ),
inference(rat,[],[s2064,s1338,s1340]) ).
cnf(s4916,plain,
( ~ spl2_281
| ~ spl2_370
| spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4770,s2968,s2997,s4665,s4181,s4864,s3853,s4468,s3244,s79,s2190,s967,s2070,s4041,s4769,s3776,s4736,s4868,s1665,s166,s2673,s930,s1956,s2744,s2090,s1162]) ).
cnf(s4917,plain,
( ~ spl2_313
| ~ spl2_277
| ~ spl2_335
| ~ spl2_294
| spl2_20
| ~ spl2_17 ),
inference(rat,[],[s4774,s1546,s952,s2238,s2234]) ).
cnf(s4918,plain,
( ~ spl2_47
| ~ spl2_343
| ~ spl2_280
| spl2_308
| ~ spl2_563
| spl2_423
| spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_17
| ~ spl2_28
| ~ spl2_11
| spl2_287
| spl2_344
| spl2_18
| ~ spl2_557 ),
inference(rat,[],[s4667,s2828,s1627,s3903,s1786,s3900,s2942,s3695,s3715,s1889,s4875,s952,s3279,s4774,s1546,s2176,s1349,s1015,s3454,s784,s3326,s2760,s1162]) ).
cnf(s4919,plain,
( ~ spl2_343
| ~ spl2_280
| spl2_308
| ~ spl2_563
| spl2_423
| spl2_293
| ~ spl2_274
| spl2_289
| spl2_20
| ~ spl2_17
| ~ spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_557 ),
inference(rat,[],[s2235,s3990,s4667,s3715,s2969,s2147,s2942,s3157,s967,s1104,s79,s4918,s3454]) ).
cnf(s4920,plain,
( spl2_308
| spl2_293
| ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4172,s4385,s764,s2068,s3641,s881,s185,s1848,s13,s6,s1138,s55,s139,s967,s86,s1419,s2710,s2148,s3195,s1446,s1113,s1385,s2960,s4919,s1596,s4917,s784,s2551,s3326,s3454,s3991,s4916,s2766,s2597,s2116,s173,s14,s4157,s4915,s2796,s58,s92,s2760,s2673,s2759,s2090,s1162,s3201,s930,s1956,s2744,s1261,s1246,s1229,s166]) ).
cnf(s4921,plain,
( ~ spl2_281
| ~ spl2_47
| ~ spl2_307
| spl2_293
| ~ spl2_274
| ~ spl2_28
| spl2_287
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3780,s3776,s1272,s4868]) ).
cnf(s4922,plain,
( ~ spl2_343
| ~ spl2_437
| ~ spl2_294
| ~ spl2_47
| ~ spl2_331
| ~ spl2_307
| ~ spl2_563
| spl2_423
| spl2_293
| ~ spl2_28
| spl2_287
| spl2_344
| spl2_18 ),
inference(rat,[],[s3903,s3900,s2009,s3695,s1889,s4877]) ).
cnf(s4923,plain,
( ~ spl2_274
| spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2148,s1173,s1446,s1419,s1113,s2960,s4922,s2192,s3709,s3454,s3991,s4921,s86,s79,s139,s2552,s6,s1381,s2126,s940,s3411,s4920,s1261,s3201,s2090,s2759,s1246,s930,s1162,s1229,s4914,s2597,s1300,s1956,s2744,s3466,s2116,s1203,s838,s173,s166,s1349,s80,s4157,s4915,s2796,s58,s92]) ).
cnf(s4924,plain,
( spl2_20
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s967,s86,s3921,s1509,s2194,s4886,s1236,s891,s4923,s14,s147,s2597,s173,s166,s58,s92]) ).
cnf(s4925,plain,
( ~ spl2_493
| ~ spl2_300
| ~ spl2_270
| ~ spl2_435
| ~ spl2_593
| spl2_299
| ~ spl2_432 ),
inference(rat,[],[s4470,s2840,s2972,s2902,s2571]) ).
cnf(s4926,plain,
( ~ spl2_407
| ~ spl2_62
| ~ spl2_270
| spl2_277
| ~ spl2_423
| spl2_308
| ~ spl2_293
| spl2_289
| ~ spl2_435
| spl2_351
| spl2_303
| spl2_406
| spl2_541
| ~ spl2_593
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4587,s2979,s3993,s4782,s2900,s3124,s4665,s4259,s4925,s1068,s3994,s4184,s1785,s2696,s3452,s4385,s4172,s1648,s2897,s2235,s3545,s3990,s3067,s2150,s4512,s2116,s1203,s838,s173,s4041,s2673,s166,s784]) ).
cnf(s4927,plain,
( ~ spl2_281
| spl2_308
| ~ spl2_293
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4449,s4666,s1787,s3531,s4172,s2897,s3994,s779,s3545,s4184,s2193,s3990,s2960,s4690,s2828,s3698,s3678,s4667,s4926,s3587,s138,s3517,s750,s4199,s1846,s1546,s2085,s3173,s1272,s4736,s147,s2597,s3466,s2116,s838,s173,s3177,s3179,s3144,s1596,s1048,s1535,s1743,s4769,s1121,s4135,s1138,s1104,s3886,s2147,s967,s898,s1271,s3171,s58,s92,s1149,s196,s4924,s225,s166]) ).
cnf(s4928,plain,
( ~ spl2_493
| ~ spl2_346
| spl2_342
| spl2_289
| spl2_553
| ~ spl2_432
| ~ spl2_96 ),
inference(rat,[],[s3993,s4860,s2579,s3672,s2571]) ).
cnf(s4929,plain,
( ~ spl2_343
| ~ spl2_279
| ~ spl2_102
| spl2_291
| ~ spl2_294
| ~ spl2_280
| ~ spl2_442
| ~ spl2_293
| spl2_289
| ~ spl2_435
| spl2_553
| ~ spl2_309
| spl2_351
| spl2_375
| ~ spl2_589
| spl2_303
| spl2_541
| ~ spl2_17
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4416,s2979,s4470,s4782,s3388,s3124,s4665,s4259,s4928,s764,s4247,s2696,s3522,s1785,s2120,s2553,s4184,s3067,s3715,s3994,s1889,s1787,s2235,s2162,s4667,s2969,s2597,s2116,s1300,s1956,s2744,s1203,s838,s173,s166]) ).
cnf(s4930,plain,
( ~ spl2_277
| ~ spl2_102
| spl2_291
| ~ spl2_294
| ~ spl2_280
| ~ spl2_442
| ~ spl2_293
| spl2_289
| ~ spl2_435
| spl2_553
| spl2_351
| spl2_375
| ~ spl2_589
| spl2_303
| ~ spl2_400
| spl2_541
| spl2_298
| ~ spl2_17
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1787,s2668,s3990,s3994,s4666,s3067,s4184,s3241,s1113,s2960,s4690,s4929,s4172,s1602,s3920,s2597,s3466,s2116,s838,s173,s166,s1138,s952]) ).
cnf(s4931,plain,
( ~ spl2_343
| ~ spl2_62
| spl2_277
| ~ spl2_102
| spl2_291
| ~ spl2_280
| spl2_308
| ~ spl2_293
| spl2_289
| ~ spl2_435
| spl2_553
| ~ spl2_309
| spl2_351
| spl2_375
| ~ spl2_589
| spl2_303
| spl2_406
| spl2_541
| ~ spl2_593
| ~ spl2_17
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3728,s4926,s4172,s4667,s4929,s2969,s2771,s2766,s838,s173,s1015,s3948,s1972,s4041,s2673,s166]) ).
cnf(s4932,plain,
( spl2_308
| ~ spl2_293
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3737,s3993,s4470,s2900,s3388,s4665,s4666,s4259,s4449,s4925,s1787,s764,s2736,s2828,s4172,s4667,s779,s2235,s3174,s3868,s3990,s3994,s3067,s4184,s1113,s2960,s4690,s4931,s3587,s7,s138,s55,s3517,s3190,s3642,s1846,s784,s4930,s185,s2773,s6,s139,s1600,s3948,s2551,s1015,s3991,s4927,s2771,s2766,s2597,s3466,s2116,s838,s3177,s3179,s1596,s1048,s2942,s1099,s1535,s1743,s2947,s3157,s1104,s1203,s173,s1121,s4144,s1138,s3144,s2147,s967,s898,s1271,s3171,s58,s92,s1149,s196,s4924,s225,s166]) ).
cnf(s4933,plain,
( ~ spl2_293
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3991,s4736,s3709,s2087,s3194,s3492,s55,s4172,s4247,s7,s2161,s2594,s4932,s58,s92,s1138,s4769,s967,s196,s4924,s225,s166]) ).
cnf(s4934,plain,
( ~ spl2_343
| ~ spl2_294
| spl2_293
| spl2_289
| ~ spl2_435
| spl2_351
| ~ spl2_589
| spl2_287
| ~ spl2_96 ),
inference(rat,[],[s2235,s3990,s4667,s1821,s2969]) ).
cnf(s4935,plain,
( ~ spl2_491
| ~ spl2_424
| spl2_346
| spl2_343
| spl2_289
| spl2_554
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s2609,s2340,s3993,s2772,s4858,s2421]) ).
cnf(s4936,plain,
( ~ spl2_292
| ~ spl2_342
| spl2_346
| spl2_343
| ~ spl2_295
| spl2_293
| spl2_289
| spl2_359
| spl2_406
| spl2_554
| spl2_287
| spl2_299
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s4470,s3529,s3388,s2968,s4665,s4181,s4935,s4205,s3994,s3390,s4667,s2736,s3641,s1162]) ).
cnf(s4937,plain,
( spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4667,s2736,s1628,s885,s2069,s2067,s4385,s4172,s764,s4936,s7,s55,s3195,s1113,s1385,s2960,s4690,s4934,s4786,s185,s96,s6,s2091,s139,s3454,s1015,s798,s1261,s3991,s2052,s1246,s1815,s930,s1162,s1229,s4933,s2673,s2597,s1956,s2744,s3466,s2116,s838,s3165,s3144,s1596,s3157,s1203,s173,s1099,s58,s92,s1535,s1104,s1743,s1121,s1138,s1149,s2147,s967,s196,s4924,s225,s166]) ).
cnf(s4938,plain,
( ~ spl2_289
| spl2_60 ),
inference(rat,[],[s4261,s3947,s4915,s1138,s967]) ).
cnf(s4939,plain,
( spl2_342
| ~ spl2_279
| ~ spl2_293
| ~ spl2_62
| ~ spl2_277
| ~ spl2_296
| spl2_289
| spl2_553
| spl2_330
| spl2_351
| spl2_303
| spl2_7
| ~ spl2_32
| ~ spl2_88 ),
inference(rat,[],[s2579,s3993,s2979,s2900,s4443,s4665,s4468,s4259,s3412,s4928,s3582,s4666,s4516,s1787,s1068,s3994,s2120,s2597,s2116,s1203,s838,s1650]) ).
cnf(s4940,plain,
( ~ spl2_293
| ~ spl2_62
| ~ spl2_277
| spl2_300
| ~ spl2_296
| spl2_289
| spl2_553
| spl2_330
| spl2_351
| spl2_359
| spl2_303
| spl2_7
| ~ spl2_32
| ~ spl2_88 ),
inference(rat,[],[s2235,s4667,s3990,s2736,s3067,s4939,s1648,s4172,s3452,s838,s792]) ).
cnf(s4941,plain,
( ~ spl2_491
| ~ spl2_603
| spl2_300
| spl2_554
| spl2_299
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s3529,s2340,s4470,s2772,s3447,s2421]) ).
cnf(s4942,plain,
( ~ spl2_284
| ~ spl2_478
| ~ spl2_452
| ~ spl2_331
| ~ spl2_295
| spl2_293
| ~ spl2_62
| ~ spl2_277
| ~ spl2_296
| spl2_289
| spl2_330
| spl2_406
| spl2_554
| spl2_287 ),
inference(rat,[],[s3993,s2609,s2900,s1068,s3994,s4205,s2324,s4445,s4666,s3582,s2123,s1090]) ).
cnf(s4943,plain,
( ~ spl2_281
| spl2_423
| ~ spl2_295
| spl2_293
| ~ spl2_62
| ~ spl2_277
| spl2_300
| spl2_274
| spl2_289
| spl2_463
| spl2_398
| spl2_330
| spl2_375
| spl2_406
| spl2_554
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_557
| ~ spl2_94 ),
inference(rat,[],[s4667,s1630,s3698,s3715,s1889,s4942,s2968,s4665,s4181,s4941,s4451,s3776,s3207,s3697,s173,s790,s1162]) ).
cnf(s4944,plain,
( ~ spl2_284
| ~ spl2_294
| spl2_293
| spl2_300
| spl2_359
| spl2_287
| ~ spl2_557 ),
inference(rat,[],[s2736,s4667,s1115,s2235,s3539]) ).
cnf(s4945,plain,
( ~ spl2_28
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4667,s2736,s1630,s1113,s3715,s1889,s4944,s3454,s3991,s4943,s2090,s930,s1162,s4940,s3587,s138,s3518,s1236,s891,s790,s4937,s4938,s4135,s2947,s4769,s952,s1138,s1535,s1099,s2942,s3157,s1048,s1596,s1743,s3165,s967,s1104,s1149,s3144,s196,s4924,s58,s225,s92,s147,s2673,s2597,s1300,s1956,s2744,s1203,s838,s173,s166]) ).
cnf(s4946,plain,
( spl2_340
| spl2_351
| ~ spl2_370
| spl2_308
| ~ spl2_295
| ~ spl2_47
| ~ spl2_293
| spl2_289
| spl2_299
| spl2_18
| ~ spl2_96 ),
inference(rat,[],[s3067,s2120,s1889,s3994,s2174,s3877,s2710]) ).
cnf(s4947,plain,
( spl2_351
| spl2_308
| ~ spl2_295
| ~ spl2_343
| ~ spl2_298
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_96 ),
inference(rat,[],[s1889,s3067,s2668,s4516,s1786,s4666,s2942,s3024,s3092,s4946,s2766]) ).
cnf(s4948,plain,
( ~ spl2_295
| ~ spl2_343
| spl2_294
| ~ spl2_298
| ~ spl2_281
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| ~ spl2_94 ),
inference(rat,[],[s1407,s3452,s4041,s1408,s2069,s4385,s4172,s1648,s1677,s4666,s3664,s4947,s4702,s2673,s2597,s173,s1353,s1665]) ).
cnf(s4949,plain,
( ~ spl2_452
| ~ spl2_370
| spl2_541
| ~ spl2_288
| ~ spl2_47
| spl2_28
| spl2_502
| spl2_4 ),
inference(rat,[],[s4743,s4782,s4351,s3124,s2997]) ).
cnf(s4950,plain,
( spl2_308
| ~ spl2_369
| spl2_340
| spl2_541
| spl2_303
| spl2_351
| ~ spl2_288
| ~ spl2_47
| ~ spl2_293
| spl2_289
| spl2_28
| spl2_502
| spl2_287
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3993,s4860,s4587,s3672,s2571,s4259,s4665,s4949,s2329,s1115,s4184,s3067,s3994,s1889,s3877,s2174,s2766,s2116,s173,s166]) ).
cnf(s4951,plain,
( ~ spl2_277
| spl2_351
| spl2_290
| spl2_331
| ~ spl2_288
| ~ spl2_343
| ~ spl2_281
| ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| spl2_502
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1610,s3994,s3863,s4184,s3990,s1231,s1115,s1446,s4456,s3434,s196,s4638,s4950,s1733,s2710,s2614,s3024,s2852,s4666,s4468,s1677,s3244,s4871,s3207,s1407,s79]) ).
cnf(s4952,plain,
( ~ spl2_284
| spl2_308
| ~ spl2_423
| ~ spl2_313
| ~ spl2_47
| ~ spl2_68
| ~ spl2_11 ),
inference(rat,[],[s2247,s2942,s1173,s2897,s2122,s2174,s3545]) ).
cnf(s4953,plain,
( spl2_351
| ~ spl2_343
| ~ spl2_298
| ~ spl2_281
| ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4667,s2150,s3729,s3067,s1889,s4952,s4272,s196,s224,s2683,s3279,s3728,s4172,s2829,s1972,s4705,s784,s3583,s4041,s4951,s2673,s1349,s1353,s1665,s2696,s2564,s2116,s810,s173,s2028,s4948,s2234,s79,s166]) ).
cnf(s4954,plain,
( ~ spl2_343
| ~ spl2_298
| ~ spl2_281
| ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4470,s2840,s4416,s2902,s2571,s4259,s4665,s3452,s4949,s1406,s2867,s1889,s3989,s2766,s2324,s3132,s4701,s4272,s2984,s2942,s196,s3004,s3092,s224,s2331,s2632,s2683,s1546,s3279,s2829,s784,s3583,s4041,s4172,s1181,s1648,s4871,s1677,s2360,s4666,s1534,s3664,s4953,s810,s2696,s4948,s2673,s2116,s173,s166,s1349,s1353,s79,s2234]) ).
cnf(s4955,plain,
( spl2_351
| spl2_308
| ~ spl2_295
| spl2_347
| spl2_343
| spl2_294
| ~ spl2_281
| ~ spl2_313
| ~ spl2_89
| ~ spl2_17
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| ~ spl2_94 ),
inference(rat,[],[s3993,s4581,s2900,s2997,s4665,s3239,s4181,s4935,s3853,s4468,s3868,s3244,s3994,s4705,s1648,s1328,s4172,s1381,s1697,s1598,s4736,s2122,s4157,s3900,s4952,s3545,s2148,s2946,s3990,s4946,s3067,s2673,s1665,s1113,s2597,s1446,s2960,s2116,s173,s2766,s4234]) ).
cnf(s4956,plain,
( ~ spl2_295
| spl2_347
| spl2_343
| spl2_294
| ~ spl2_281
| ~ spl2_313
| ~ spl2_17
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| ~ spl2_94 ),
inference(rat,[],[s1697,s4172,s4736,s1648,s2085,s1677,s807,s4666,s1534,s3664,s4955,s4702,s1353,s3950,s1665,s2960,s2116,s173]) ).
cnf(s4957,plain,
( ~ spl2_298
| ~ spl2_281
| ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1889,s1806,s2193,s2028,s2564,s4956,s1446,s1113,s1116,s2960,s4690,s4954,s2234,s147,s2597,s2116,s173,s166,s1956,s2744,s79]) ).
cnf(s4958,plain,
( ~ spl2_281
| ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2594,s4199,s4247,s3207,s4720,s4041,s2067,s2085,s2127,s4736,s4264,s2157,s4769,s952,s1138,s4957,s166,s2673,s1353]) ).
cnf(s4959,plain,
( ~ spl2_298
| ~ spl2_280
| ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_32
| ~ spl2_94 ),
inference(rat,[],[s4770,s2833,s2657,s4468,s4578,s1652,s4935,s3701,s2736,s3531,s1625,s4667,s4666,s1737,s2632,s2710,s2153,s1113,s2960,s4912,s4414,s1546,s2224,s4665,s1429,s1620,s3279,s2795,s1697,s2425,s3994,s1593,s940,s4172,s2559,s2550,s1613,s3948,s1648,s2190,s1499,s2234,s2673,s2597,s2116,s173,s1349,s2064,s79,s1015]) ).
cnf(s4960,plain,
( ~ spl2_313
| ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4247,s2594,s4720,s2176,s2067,s1546,s2127,s4264,s2157,s4769,s1138,s4959,s3991,s4958,s166,s1353,s79]) ).
cnf(s4961,plain,
( spl2_331
| ~ spl2_281
| spl2_290
| ~ spl2_307
| ~ spl2_60 ),
inference(rat,[],[s784,s4640,s2683,s1122,s224,s2158,s196,s14,s4164,s79,s1272]) ).
cnf(s4962,plain,
( ~ spl2_331
| spl2_317
| spl2_406
| spl2_28
| ~ spl2_432 ),
inference(rat,[],[s4702,s4199,s2564]) ).
cnf(s4963,plain,
( ~ spl2_284
| ~ spl2_343
| ~ spl2_415
| ~ spl2_294
| ~ spl2_437
| ~ spl2_601
| spl2_287
| ~ spl2_32 ),
inference(rat,[],[s2360,s2324,s1446,s2469,s2739,s3678,s4667,s2235]) ).
cnf(s4964,plain,
( spl2_340
| ~ spl2_277
| ~ spl2_271
| ~ spl2_316
| ~ spl2_20
| ~ spl2_60
| spl2_287
| spl2_299 ),
inference(rat,[],[s3762,s3434,s4666,s1733,s2644,s2632,s2710,s79,s224,s196]) ).
cnf(s4965,plain,
( spl2_300
| ~ spl2_280
| ~ spl2_20
| ~ spl2_307
| spl2_303
| spl2_406
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| spl2_28
| ~ spl2_389
| spl2_287
| spl2_299
| ~ spl2_32
| ~ spl2_88 ),
inference(rat,[],[s4963,s2653,s3990,s2009,s4964,s2696,s4702,s784,s2176,s2683,s1546,s3279,s2829,s1972,s3522,s2553,s1648,s3492,s4172,s3452,s1122,s2192,s3886,s79,s2010,s1015,s224,s196]) ).
cnf(s4966,plain,
( ~ spl2_17
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2829,s3279,s2069,s2158,s1408,s4965,s1015,s3991,s14,s4961,s4164,s4962,s2090,s2085,s2010,s3171,s1048,s1596,s4960,s2116,s173,s166,s1349,s1353,s79]) ).
cnf(s4967,plain,
( ~ spl2_343
| spl2_308
| spl2_351
| spl2_375
| spl2_541
| spl2_303
| spl2_294
| ~ spl2_298
| ~ spl2_281
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4950,s2696,s2710,s4948,s3092,s166,s1353]) ).
cnf(s4968,plain,
( spl2_308
| spl2_554
| ~ spl2_330
| spl2_303
| spl2_294
| ~ spl2_298
| ~ spl2_281
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3993,s4581,s2900,s2997,s4665,s3239,s4181,s4935,s2247,s1798,s3877,s4855,s3174,s3868,s4667,s3994,s3915,s4184,s1113,s2960,s4690,s4967,s2766,s2673,s2597,s2116,s173,s166,s1353,s1665,s2852,s4468,s3244,s3024,s3664,s4666,s1677,s1648,s4172,s1393]) ).
cnf(s4969,plain,
( ~ spl2_369
| ~ spl2_20
| spl2_351
| spl2_303
| ~ spl2_313
| spl2_17
| ~ spl2_293
| spl2_289
| ~ spl2_32 ),
inference(rat,[],[s1610,s3863,s3994,s3990,s4184,s3067,s3434,s1444,s4249,s58]) ).
cnf(s4970,plain,
( ~ spl2_298
| ~ spl2_313
| ~ spl2_281
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3994,s3159,s2618,s2614,s1173,s4969,s2696,s4638,s2126,s4968,s3664,s3024,s3853,s4666,s4468,s1677,s3244,s1648,s4172,s1393,s3207,s1407,s3583,s2234,s147,s2673,s1349,s79,s4961,s4962,s4530,s58,s1665,s2116,s173,s166,s1636,s4966]) ).
cnf(s4971,plain,
( ~ spl2_313
| ~ spl2_281
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1122,s4640,s4720,s4041,s2067,s2127,s4264,s2157,s4769,s4970,s4962,s4530,s1636,s2673,s2116,s173,s166,s1353,s58,s4966,s1665]) ).
cnf(s4972,plain,
( spl2_294
| ~ spl2_343
| spl2_308
| ~ spl2_277
| ~ spl2_298
| ~ spl2_281
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3244,s4468,s1648,s3853,s4172,s4968,s1393,s1181,s2696,s4948,s173,s166,s1407]) ).
cnf(s4973,plain,
( ~ spl2_351
| ~ spl2_306
| ~ spl2_298
| ~ spl2_400
| ~ spl2_281
| spl2_287
| spl2_18 ),
inference(rat,[],[s1783,s1889,s1627,s2668,s1677,s1786,s4666,s1535,s3664]) ).
cnf(s4974,plain,
( ~ spl2_343
| spl2_308
| ~ spl2_298
| ~ spl2_281
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2644,s3092,s1115,s3024,s1676,s4666,s1889,s1677,s2235,s2069,s4667,s2829,s2733,s3279,s4264,s4720,s1408,s1122,s1183,s2696,s4947,s4972,s2597,s173,s166,s1349,s1353,s79,s3205,s4973,s3173,s3583,s58,s1743,s4971,s4631,s1751,s4421,s4966,s2673]) ).
cnf(s4975,plain,
( spl2_308
| ~ spl2_298
| ~ spl2_281
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3853,s4468,s4968,s3244,s2235,s2069,s4667,s1408,s3915,s1122,s3241,s3230,s4666,s4447,s3776,s3393,s2897,s2247,s2942,s3052,s1612,s3877,s3868,s3990,s3994,s3067,s4184,s1113,s2960,s4690,s4974,s2766,s2744,s2597,s2116,s173,s166,s1353,s79,s1407,s4973,s3173,s3583,s58,s4966,s2673,s1743,s4971]) ).
cnf(s4976,plain,
( ~ spl2_493
| spl2_541
| ~ spl2_20
| ~ spl2_47
| spl2_28
| ~ spl2_432 ),
inference(rat,[],[s4351,s2743,s2571]) ).
cnf(s4977,plain,
( spl2_340
| ~ spl2_564
| ~ spl2_542
| spl2_541
| spl2_412
| ~ spl2_291
| ~ spl2_365
| ~ spl2_288
| ~ spl2_20
| spl2_303
| spl2_17
| ~ spl2_293
| spl2_289
| spl2_299
| ~ spl2_32 ),
inference(rat,[],[s3398,s3993,s4587,s2324,s3380,s3994,s4184,s3990,s3434,s1674,s1444,s4249,s3834,s2710,s58]) ).
cnf(s4978,plain,
( ~ spl2_298
| ~ spl2_281
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3994,s3159,s2618,s2614,s4977,s4521,s4351,s2979,s4782,s3124,s4665,s4259,s4976,s3024,s2852,s4666,s4468,s1677,s3244,s2190,s1652,s4720,s1122,s4631,s1183,s2028,s2696,s4638,s4702,s4975,s4973,s1407,s3173,s3583,s3205,s147,s2673,s2116,s173,s166,s79,s58,s4966,s1665,s1743,s4971]) ).
cnf(s4979,plain,
( ~ spl2_281
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4041,s3173,s2127,s1121,s2157,s1138,s4978,s4971,s166,s2673,s1353]) ).
cnf(s4980,plain,
( ~ spl2_343
| ~ spl2_295
| ~ spl2_302
| ~ spl2_20
| ~ spl2_398
| ~ spl2_400
| spl2_308
| ~ spl2_298
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_96 ),
inference(rat,[],[s3434,s1798,s4667,s1534,s1535,s2733,s4947]) ).
cnf(s4981,plain,
( spl2_308
| ~ spl2_298
| ~ spl2_280
| spl2_17
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_432
| ~ spl2_96
| ~ spl2_32 ),
inference(rat,[],[s2828,s4946,s4667,s1534,s1628,s2960,s4690,s4980,s2696,s4098,s4172,s3458,s1381,s1598,s14,s4527,s1408,s2069,s2829,s3279,s4264,s1743,s1546,s2234,s3231,s2176,s3948,s2766,s1349,s1353,s1015,s1380]) ).
cnf(s4982,plain,
( ~ spl2_313
| ~ spl2_343
| ~ spl2_308
| ~ spl2_298
| ~ spl2_280
| spl2_341
| ~ spl2_47
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_389 ),
inference(rat,[],[s4264,s4912,s1697,s1620,s4172,s3994,s1648,s1613,s2559,s2234,s1015,s1499]) ).
cnf(s4983,plain,
( spl2_294
| ~ spl2_343
| ~ spl2_308
| ~ spl2_280
| spl2_341
| ~ spl2_47
| ~ spl2_274
| spl2_289
| ~ spl2_389 ),
inference(rat,[],[s3279,s4912,s1593,s1620,s4172,s3994,s1648,s1613,s1015]) ).
cnf(s4984,plain,
( ~ spl2_328
| ~ spl2_288
| ~ spl2_308
| ~ spl2_270
| spl2_289
| ~ spl2_68 ),
inference(rat,[],[s4098,s4172,s2069,s1593,s2829]) ).
cnf(s4985,plain,
( spl2_342
| spl2_17
| ~ spl2_68
| ~ spl2_11
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2247,s2942,s2644,s2329,s1438,s1115,s58,s4421,s2673]) ).
cnf(s4986,plain,
( ~ spl2_343
| ~ spl2_308
| spl2_272
| ~ spl2_298
| ~ spl2_342
| ~ spl2_280
| spl2_341
| ~ spl2_39
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4743,s4782,s3103,s3124,s2657,s4665,s4468,s4259,s3412,s4976,s2867,s3915,s3989,s4667,s3133,s2162,s3335,s1786,s4638,s1534,s1535,s1406,s3067,s1889,s4963,s1972,s4797,s4098,s4172,s3458,s2192,s4720,s1546,s3279,s4984,s810,s2696,s4702,s1596,s1743,s4983,s4982,s2116,s173,s166,s1349,s1353,s3886,s1015,s3205,s3583,s2673]) ).
cnf(s4987,plain,
( ~ spl2_295
| ~ spl2_355
| spl2_343
| ~ spl2_308
| ~ spl2_277
| spl2_272
| ~ spl2_298
| ~ spl2_342
| ~ spl2_280
| ~ spl2_47
| ~ spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_32
| ~ spl2_94 ),
inference(rat,[],[s3993,s4581,s2539,s2657,s4468,s3239,s4578,s4935,s2247,s1786,s2632,s2162,s4666,s1546,s3990,s1625,s3241,s4264,s1406,s4414,s3701,s1393,s1697,s4184,s1437,s4665,s4172,s3994,s2425,s1648,s1613,s2550,s2234,s1596,s4702,s2673,s1015,s1499,s2960,s2116,s173]) ).
cnf(s4988,plain,
( ~ spl2_298
| ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1889,s1806,s2193,s2028,s2564,s4987,s1446,s2960,s4690,s4986,s4981,s3583,s1380,s147,s2673,s2116,s79,s58,s2224,s1363,s1322,s2597,s173,s166,s2064,s3991,s4979,s4985,s4966,s1353]) ).
cnf(s4989,plain,
( ~ spl2_60
| ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1574,s2010,s2696,s2553,s4098,s3492,s4172,s2161,s2176,s3522,s2069,s1546,s2127,s4264,s2157,s4769,s1138,s4988,s1015,s3991,s4979,s4966,s79,s2597,s173,s166,s1353]) ).
cnf(s4990,plain,
( ~ spl2_293
| ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2553,s3492,s3522,s4172,s3991,s3458,s1381,s3173,s4720,s4962,s4041,s2072,s2067,s2085,s2127,s4264,s1121,s2010,s2157,s4769,s1138,s3171,s1596,s71,s967,s1149,s4989,s2673,s2116,s173,s166,s1353]) ).
cnf(s4991,plain,
( spl2_375
| ~ spl2_343
| ~ spl2_47
| spl2_308
| spl2_423
| spl2_289
| ~ spl2_68
| spl2_299 ),
inference(rat,[],[s2174,s2710,s3990,s3092,s3715]) ).
cnf(s4992,plain,
( ~ spl2_343
| ~ spl2_398
| ~ spl2_298
| ~ spl2_47
| spl2_308
| spl2_423
| ~ spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_287
| spl2_299 ),
inference(rat,[],[s1627,s1677,s1786,s4666,s2942,s3024,s4991,s4667,s2733]) ).
cnf(s4993,plain,
( ~ spl2_281
| ~ spl2_298
| ~ spl2_60
| ~ spl2_89
| spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3855,s2997,s2968,s4665,s4181,s3237,s4935,s3853,s4468,s3244,s2069,s1628,s1783,s4205,s1889,s3994,s2174,s3877,s2710,s2154,s1446,s1113,s2960,s4690,s4992,s4041,s3776,s4736,s4868,s1815,s1665,s2597,s2116,s173,s166,s3187,s2673,s79,s196,s1391,s2766,s2126,s2010,s2090,s930,s1956,s2744,s1349,s1162]) ).
cnf(s4994,plain,
( ~ spl2_280
| ~ spl2_24
| ~ spl2_367
| ~ spl2_274
| ~ spl2_68
| ~ spl2_389
| ~ spl2_32 ),
inference(rat,[],[s1408,s2069,s4527,s2829,s3279,s1546,s1597,s1015]) ).
cnf(s4995,plain,
( ~ spl2_60
| ~ spl2_89
| spl2_293
| ~ spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4769,s4993,s4736,s3991,s4994,s14,s196,s1557,s1391,s2766,s2126,s2010,s2090,s930,s1956,s2744,s1349,s1162]) ).
cnf(s4996,plain,
( ~ spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_344
| spl2_18
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4667,s2736,s1628,s1113,s4690,s4934,s3454,s1408,s3991,s4797,s2127,s4736,s4264,s2147,s2157,s4769,s1535,s1099,s3157,s1743,s967,s1104,s1149,s4995,s3950,s3242,s2766,s2126,s2010,s2090,s930,s1162,s4990,s2673,s2597,s173,s166,s1956,s2744,s1349,s1353]) ).
cnf(s4997,plain,
( ~ spl2_281
| ~ spl2_298
| ~ spl2_293
| ~ spl2_277
| spl2_300
| spl2_274
| spl2_289
| spl2_28
| ~ spl2_11
| ~ spl2_432 ),
inference(rat,[],[s4702,s1596,s4176,s3534,s4776,s4172,s2564,s3452,s1120,s1407,s3173,s1122,s3756]) ).
cnf(s4998,plain,
( spl2_308
| ~ spl2_280
| ~ spl2_298
| ~ spl2_60
| ~ spl2_293
| ~ spl2_277
| spl2_272
| spl2_300
| spl2_274
| spl2_289
| spl2_287 ),
inference(rat,[],[s1598,s1381,s4774,s3458,s1393,s4172,s1546,s4776,s1557,s2176,s4176,s2766,s79]) ).
cnf(s4999,plain,
( ~ spl2_343
| ~ spl2_271
| spl2_554
| spl2_375
| ~ spl2_301
| spl2_330
| ~ spl2_453
| ~ spl2_282
| ~ spl2_308
| ~ spl2_333
| ~ spl2_47
| spl2_274
| spl2_289
| ~ spl2_68
| spl2_287
| spl2_299
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s2657,s4468,s4255,s3412,s2560,s4928,s3989,s2954,s3716,s1970,s4941,s4269,s2329,s4451,s1444,s1115,s4204,s3582,s1625,s4667,s4666,s1737,s2632,s2710,s3092,s2673,s2116,s891,s147,s1236,s2597,s173,s166]) ).
cnf(s5000,plain,
( spl2_343
| ~ spl2_301
| ~ spl2_282
| ~ spl2_296
| ~ spl2_96
| ~ spl2_88 ),
inference(rat,[],[s1625,s1630,s1113]) ).
cnf(s5001,plain,
( ~ spl2_298
| ~ spl2_60
| ~ spl2_293
| spl2_274
| spl2_289
| ~ spl2_68
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4985,s1625,s2659,s1737,s1546,s2710,s4999,s3092,s5000,s4414,s1437,s3701,s1393,s4665,s3994,s4172,s2425,s1613,s3534,s2550,s2234,s1596,s4702,s4998,s1568,s1499,s3991,s4997,s2190,s3756,s2116,s891,s147,s2026,s1236,s2597,s173,s166,s792,s790,s79]) ).
cnf(s5002,plain,
( ~ spl2_306
| ~ spl2_367
| spl2_308
| spl2_298
| ~ spl2_438
| ~ spl2_316 ),
inference(rat,[],[s3921,s58,s14,s4530,s1598,s4199,s1121,s1120,s1138]) ).
cnf(s5003,plain,
( ~ spl2_343
| ~ spl2_342
| ~ spl2_29
| ~ spl2_291
| spl2_423
| ~ spl2_295
| spl2_308
| ~ spl2_47
| ~ spl2_277
| ~ spl2_296
| spl2_289
| ~ spl2_68
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_432
| ~ spl2_88 ),
inference(rat,[],[s4668,s2638,s2945,s4351,s2979,s4443,s4468,s3412,s4976,s4774,s3915,s2867,s4667,s3989,s1798,s3132,s4855,s3994,s1437,s2942,s4991,s2766]) ).
cnf(s5004,plain,
( ~ spl2_355
| ~ spl2_316
| ~ spl2_277
| ~ spl2_296
| spl2_287
| ~ spl2_432
| ~ spl2_413
| ~ spl2_88 ),
inference(rat,[],[s4666,s4448,s3230]) ).
cnf(s5005,plain,
( spl2_308
| spl2_298
| ~ spl2_60
| ~ spl2_293
| ~ spl2_277
| spl2_300
| ~ spl2_296
| spl2_289
| ~ spl2_68
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s5003,s4985,s28,s4247,s3893,s1546,s4464,s2176,s3521,s1568,s3991,s3173,s5002,s1557,s2766,s147,s2194,s1078,s5004,s1122,s2116,s2744,s173,s166,s79,s1138]) ).
cnf(s5006,plain,
( ~ spl2_281
| ~ spl2_39
| ~ spl2_309
| ~ spl2_293
| ~ spl2_277
| spl2_300
| spl2_289 ),
inference(rat,[],[s3492,s2550,s4172,s1449,s3452,s1121,s1120,s1407,s3173,s1122]) ).
cnf(s5007,plain,
( ~ spl2_493
| ~ spl2_20
| spl2_539
| ~ spl2_47
| ~ spl2_389
| ~ spl2_432 ),
inference(rat,[],[s2938,s2743,s2571]) ).
cnf(s5008,plain,
( ~ spl2_60
| ~ spl2_293
| spl2_274
| spl2_289
| ~ spl2_68
| spl2_28
| ~ spl2_11
| spl2_287
| spl2_299
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3330,s3179,s2609,s4587,s3993,s2979,s2539,s4443,s4468,s3412,s5007,s2324,s4445,s4666,s3582,s3434,s4774,s2155,s1733,s3239,s2710,s4941,s3004,s1625,s4414,s1620,s3701,s1393,s4665,s3994,s4172,s2425,s2837,s3495,s2553,s3522,s4451,s3990,s2010,s4417,s2108,s2126,s940,s4702,s1568,s3991,s5006,s4985,s58,s4247,s2594,s5005,s1138,s5001,s79,s2673,s1349,s2026,s1078,s5004,s1122,s891,s147,s1236,s2597,s790,s2116,s2744,s173,s166]) ).
cnf(s5009,plain,
( ~ spl2_293
| spl2_289
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s4940,s2947,s1535,s3587,s952,s1099,s3157,s1048,s1743,s138,s71,s967,s1104,s1149,s3144,s5008,s1353,s790,s1236,s3518,s891,s4996,s4945,s2418,s2597,s838,s1203,s3466,s2116,s173,s1300,s1956,s2744,s166,s147]) ).
cnf(s5010,plain,
( ~ spl2_60
| ~ spl2_89
| spl2_423
| ~ spl2_295
| ~ spl2_290
| ~ spl2_343
| spl2_300
| spl2_274
| spl2_289
| ~ spl2_68
| ~ spl2_11
| spl2_502
| spl2_287
| spl2_299
| spl2_18
| ~ spl2_32
| ~ spl2_94 ),
inference(rat,[],[s3855,s2997,s2968,s4665,s4181,s3237,s2108,s4941,s1889,s4451,s2324,s3776,s2360,s2866,s3697,s1532,s2984,s3989,s2733,s3004,s3132,s4667,s3991,s2967,s3877,s4855,s2162,s2176,s3994,s1786,s1546,s3921,s1437,s2942,s4268,s14,s4991,s196,s79,s1122,s2194,s1236,s2597,s173,s3242,s3187,s1391,s2766,s2126,s2010,s1349,s2673]) ).
cnf(s5011,plain,
( spl2_289
| ~ spl2_11
| spl2_7
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s3454,s3991,s4944,s4943,s3990,s4135,s3715,s3587,s952,s4769,s1138,s1099,s2942,s1596,s3165,s138,s967,s1104,s1149,s3144,s5010,s3950,s3242,s2766,s2126,s2010,s2090,s930,s1162,s5009,s1078,s5004,s3518,s1122,s1236,s891,s790,s4996,s147,s2673,s3466,s2116,s1203,s838,s2418,s2597,s173,s1349,s1353,s4945,s1300,s1956,s2744,s166]) ).
cnf(s5012,plain,
( spl2_7
| spl2_10
| spl2_4 ),
inference(rat,[],[s915,s2064,s2795,s4938,s4915,s3934,s5011,s4945,s4900,s838,s173,s166,s88]) ).
cnf(s5013,plain,
( spl2_11
| ~ spl2_28
| spl2_10
| spl2_4 ),
inference(rat,[],[s2945,s4668,s2979,s2742,s2172,s4153,s4521,s4638,s4770,s1407,s3853,s2852,s3991,s4468,s1015,s3244,s3883,s3884,s4867,s4041,s1892,s4682,s1213,s3472,s4657,s3,s79,s2064,s1317,s4915,s77,s4886,s2796,s1763,s2180,s4042,s147,s2673,s2597,s173,s5012,s1881,s166,s58,s92,s88]) ).
cnf(s5014,plain,
( ~ spl2_274
| spl2_287
| spl2_289
| ~ spl2_28
| spl2_10
| spl2_4 ),
inference(rat,[],[s4862,s4665,s2696,s2997,s2741,s2766,s4638,s4770,s1407,s1665,s3853,s3991,s4468,s1213,s1015,s3244,s2796,s1509,s2190,s196,s86,s79,s2064,s3883,s3884,s2070,s4041,s967,s1892,s4682,s1138,s3,s1434,s1317,s2673,s4670,s5012,s225,s166,s58,s92,s88,s5013]) ).
cnf(s5015,plain,
( ~ spl2_60
| spl2_274
| spl2_73
| spl2_39
| ~ spl2_28
| ~ spl2_96
| ~ spl2_32
| ~ spl2_91 ),
inference(rat,[],[s4886,s1509,s196,s86]) ).
cnf(s5016,plain,
( spl2_124
| spl2_10
| spl2_4 ),
inference(rat,[],[s3,s1892,s1318,s2597,s88,s173,s166,s5012]) ).
cnf(s5017,plain,
( spl2_287
| spl2_289
| ~ spl2_28
| spl2_10
| spl2_4 ),
inference(rat,[],[s2235,s1648,s3990,s4667,s4172,s3067,s2736,s3452,s1535,s1099,s1048,s1743,s1104,s1149,s792,s5015,s891,s790,s5014,s147,s2597,s173,s3884,s3554,s5016,s225,s166,s58,s92,s88]) ).
cnf(s5018,plain,
( ~ spl2_287
| ~ spl2_11
| ~ spl2_7
| ~ spl2_32
| ~ spl2_88 ),
inference(rat,[],[s2661,s790,s3970,s823,s4653]) ).
cnf(s5019,plain,
( ~ spl2_28
| spl2_10
| spl2_4 ),
inference(rat,[],[s196,s2796,s4938,s4915,s5017,s5018,s5013,s58,s225,s92,s173,s166,s88,s5012]) ).
cnf(s5020,plain,
( spl2_11
| spl2_10
| spl2_4 ),
inference(rat,[],[s4886,s1325,s2180,s4042,s147,s2597,s88,s173,s166,s1317,s4778,s5012,s73,s5019]) ).
cnf(s5021,plain,
( ~ spl2_60
| spl2_10
| spl2_4 ),
inference(rat,[],[s2795,s1215,s1213,s5008,s2064,s3884,s5016,s3934,s2056,s5004,s1122,s891,s147,s1236,s2597,s823,s2116,s2744,s88,s173,s166,s790,s1317,s4778,s5012,s73,s5019,s5020]) ).
cnf(s5022,plain,
( spl2_10
| spl2_4 ),
inference(rat,[],[s3495,s4451,s4172,s3752,s2010,s3452,s2164,s3171,s1048,s967,s1149,s5021,s3934,s2056,s5004,s1122,s823,s1236,s891,s790,s1317,s4778,s73,s3553,s5019,s3884,s5016,s5012,s2116,s2597,s2744,s88,s147,s173,s166]) ).
cnf(s5023,plain,
( ~ spl2_28
| ~ spl2_32
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4682,s3,s4041,s1317,s1752,s4886,s4889,s2180,s4042,s1257,s58,s92,s147,s2673,s2597,s173,s166]) ).
cnf(s5024,plain,
( spl2_289
| ~ spl2_272
| ~ spl2_274
| spl2_28
| ~ spl2_32
| spl2_4 ),
inference(rat,[],[s1162,s2760,s4898,s3326,s3991,s4896,s4157,s58,s14,s19,s1325,s1763,s2180,s4042,s4996,s147,s2673,s1300,s1956,s2744,s3466,s2116,s1203,s838,s2418,s4778,s1317,s73,s2597,s173,s166]) ).
cnf(s5025,plain,
( ~ spl2_274
| ~ spl2_32
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1257,s1363,s1333,s4915,s5024,s784,s1752,s2597,s173,s166,s1322,s5023]) ).
cnf(s5026,plain,
( ~ spl2_32
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4886,s1325,s2180,s4042,s5011,s4778,s1318,s3554,s3934,s1533,s2056,s1078,s5004,s1122,s823,s1236,s891,s790,s5025,s73,s5023,s2116,s2597,s2744,s147,s173,s166]) ).
cnf(s5027,plain,
( ~ spl2_343
| spl2_425
| spl2_291
| spl2_357
| spl2_375
| spl2_17
| ~ spl2_96
| spl2_299
| spl2_287
| ~ spl2_47 ),
inference(rat,[],[s2155,s2710,s4667,s1651,s4204]) ).
cnf(s5028,plain,
( ~ spl2_293
| ~ spl2_96
| spl2_299
| spl2_287
| spl2_11
| ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1889,s1406,s2653,s1113,s5027,s3780,s1540,s1532,s4544,s4527,s4156,s4209,s3187,s58,s1048,s4638,s4165,s2631,s2696,s3319,s147,s173,s5022,s225,s79,s77,s1763,s1878,s14,s1937,s4594,s166]) ).
cnf(s5029,plain,
( ~ spl2_557
| ~ spl2_290
| ~ spl2_96
| spl2_289
| spl2_277
| spl2_4 ),
inference(rat,[],[s779,s3393,s4172,s2085,s1972,s1134,s3251,s2760,s4041,s2948,s166]) ).
cnf(s5032,plain,
( ~ spl2_343
| ~ spl2_294
| spl2_351
| ~ spl2_374
| ~ spl2_437
| spl2_293
| ~ spl2_96
| spl2_287
| spl2_289 ),
inference(rat,[],[s2235,s3990,s4667,s1821,s2739]) ).
cnf(s5033,plain,
( ~ spl2_96
| spl2_7
| spl2_287
| spl2_11
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3174,s3994,s1574,s2618,s2176,s1546,s1540,s4157,s2148,s4418,s1113,s4690,s5032,s3454,s3991,s1815,s1534,s1446,s4164,s1120,s1381,s4527,s1122,s2192,s4156,s4200,s4209,s5029,s1162,s5028,s1752,s79,s77,s1763,s1878,s14,s1937,s4594,s1207,s147,s437,s3469,s402,s1895,s173,s166]) ).
cnf(s5034,plain,
( ~ spl2_468
| spl2_554
| ~ spl2_291
| spl2_328
| spl2_398
| spl2_20
| ~ spl2_19
| ~ spl2_274
| ~ spl2_28 ),
inference(rat,[],[s4770,s4354,s2374,s4343,s4578,s4584,s79,s77]) ).
cnf(s5035,plain,
( ~ spl2_479
| spl2_298
| spl2_424
| ~ spl2_409
| spl2_313
| ~ spl2_288
| spl2_539
| spl2_541
| spl2_299
| spl2_287
| spl2_289
| ~ spl2_88 ),
inference(rat,[],[s4587,s3993,s2635,s2364,s4668,s4470,s4169,s4422]) ).
cnf(s5036,plain,
( ~ spl2_343
| ~ spl2_279
| spl2_313
| ~ spl2_288
| spl2_357
| ~ spl2_374
| spl2_375
| spl2_539
| spl2_541
| spl2_307
| ~ spl2_437
| spl2_344
| spl2_299
| spl2_287
| spl2_18
| spl2_11
| spl2_289
| spl2_277
| ~ spl2_28
| ~ spl2_88 ),
inference(rat,[],[s3989,s3716,s3150,s2373,s4521,s5035,s4771,s1786,s3903,s2710,s4405,s3068,s3994,s1889,s1787,s2235,s4512,s4667,s2739,s4594,s79,s77,s4165,s1763,s4705]) ).
cnf(s5038,plain,
( ~ spl2_343
| ~ spl2_279
| ~ spl2_295
| spl2_351
| ~ spl2_374
| spl2_375
| spl2_406
| ~ spl2_437
| spl2_287
| ~ spl2_47
| spl2_18
| spl2_289
| spl2_277
| ~ spl2_28 ),
inference(rat,[],[s2618,s3903,s2172,s4205,s3715,s3994,s1889,s1787,s2235,s4512,s4667,s2739,s4705]) ).
cnf(s5039,plain,
( ~ spl2_479
| spl2_298
| ~ spl2_409
| spl2_353
| spl2_539
| spl2_299
| spl2_289 ),
inference(rat,[],[s2364,s3993,s4470,s4581,s4422]) ).
cnf(s5040,plain,
( spl2_479
| ~ spl2_370
| ~ spl2_295
| spl2_406
| spl2_287
| ~ spl2_47
| ~ spl2_76 ),
inference(rat,[],[s4665,s4181,s2997,s2373]) ).
cnf(s5041,plain,
( spl2_308
| spl2_353
| ~ spl2_340
| ~ spl2_426
| ~ spl2_294
| ~ spl2_295
| spl2_357
| spl2_539
| ~ spl2_548
| spl2_406
| spl2_328
| ~ spl2_437
| spl2_398
| spl2_299
| spl2_287
| spl2_11
| spl2_289
| spl2_277
| ~ spl2_274
| ~ spl2_28 ),
inference(rat,[],[s2234,s3068,s4183,s1889,s4667,s2668,s4512,s2364,s4470,s2951,s2979,s4859,s3993,s4581,s5040,s4666,s4334,s1546,s2176,s3991,s4736,s2172,s2766,s4594,s79,s77,s1763,s1878]) ).
cnf(s5042,plain,
( ~ spl2_458
| ~ spl2_424
| ~ spl2_345
| spl2_343
| ~ spl2_295
| spl2_406
| spl2_287 ),
inference(rat,[],[s4181,s4665,s4858,s2900]) ).
cnf(s5043,plain,
( ~ spl2_295
| spl2_351
| spl2_357
| ~ spl2_374
| spl2_375
| spl2_539
| spl2_492
| ~ spl2_548
| spl2_307
| ~ spl2_302
| spl2_406
| spl2_328
| ~ spl2_437
| spl2_398
| spl2_344
| spl2_299
| spl2_287
| spl2_11
| spl2_289
| spl2_277
| ~ spl2_274
| ~ spl2_28
| spl2_4 ),
inference(rat,[],[s3624,s4521,s4470,s2639,s3737,s3993,s5042,s3531,s4666,s2668,s3990,s3068,s2234,s2190,s4183,s4667,s4512,s1787,s3868,s3994,s4405,s5041,s4697,s4418,s4704,s4690,s5038,s4705,s4172,s2630,s173,s166,s847,s784,s79,s77,s1763,s1878]) ).
cnf(s5044,plain,
( ~ spl2_479
| spl2_353
| ~ spl2_409
| spl2_313
| ~ spl2_288
| spl2_539
| ~ spl2_548
| ~ spl2_437
| spl2_299
| spl2_287
| spl2_289
| ~ spl2_88 ),
inference(rat,[],[s2951,s4470,s2635,s2364,s4668,s3993,s4169,s4581]) ).
cnf(s5045,plain,
( ~ spl2_343
| spl2_313
| ~ spl2_288
| spl2_357
| ~ spl2_374
| spl2_375
| spl2_539
| ~ spl2_548
| spl2_541
| spl2_307
| spl2_306
| ~ spl2_437
| spl2_398
| spl2_344
| spl2_299
| spl2_287
| spl2_11
| spl2_289
| spl2_277
| ~ spl2_274
| ~ spl2_28
| ~ spl2_88 ),
inference(rat,[],[s4468,s4578,s2657,s2373,s5044,s1786,s3992,s4384,s3683,s4512,s4172,s4667,s5036,s2739,s4594,s79,s77,s4165,s1763,s1878]) ).
cnf(s5046,plain,
( spl2_7
| spl2_287
| spl2_11
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3068,s1889,s4418,s2653,s4690,s5045,s2631,s2696,s5043,s1534,s1532,s1446,s4544,s3236,s4568,s2718,s4576,s4164,s1120,s1381,s2601,s4527,s1122,s2192,s4777,s4156,s4160,s4200,s4209,s2948,s188,s5033,s3469,s1207,s147,s5022,s1752,s1763,s1878,s437,s402,s1895,s173,s14,s1937,s4594,s166]) ).
cnf(s5047,plain,
( spl2_287
| spl2_11
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4667,s4183,s1628,s4418,s1078,s4533,s1532,s1446,s2190,s4156,s4453,s2070,s4041,s4682,s3,s4670,s5046,s173,s5026,s1317,s847,s784,s1752,s1763,s1878,s14,s1937,s4594,s166]) ).
cnf(s5048,plain,
( spl2_11
| spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4261,s1138,s2190,s2070,s4682,s3,s4657,s831,s5047,s1321,s2064,s1937,s77,s437,s4594,s1763,s1878,s1895,s166,s147,s1317,s847,s784,s1752]) ).
cnf(s5049,plain,
( spl2_308
| ~ spl2_271
| spl2_398
| ~ spl2_47
| spl2_289
| ~ spl2_274
| ~ spl2_28 ),
inference(rat,[],[s3991,s4736,s2176,s2172]) ).
cnf(s5052,plain,
( ~ spl2_343
| spl2_287
| spl2_291
| spl2_357
| ~ spl2_374
| ~ spl2_437
| ~ spl2_47
| ~ spl2_389 ),
inference(rat,[],[s2155,s1173,s4667,s2134,s2739]) ).
cnf(s5053,plain,
( spl2_289
| ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2618,s3994,s3761,s3159,s1078,s5052,s1137,s2126,s5049,s1546,s4650,s1534,s3408,s4670,s1532,s1446,s4164,s1381,s1122,s2192,s4777,s4534,s4156,s4200,s4209,s14,s80,s3187,s1552,s28,s38,s58,s1257,s1349,s5048,s147,s5022,s5026,s225,s166]) ).
cnf(s5054,plain,
( ~ spl2_274
| ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3279,s4527,s1546,s4209,s14,s853,s3187,s196,s2064,s1349,s855,s4938,s1333,s5053,s784,s1752,s225,s166]) ).
cnf(s5055,plain,
( ~ spl2_557
| spl2_20
| spl2_298
| ~ spl2_291
| spl2_274
| spl2_73
| spl2_4 ),
inference(rat,[],[s4774,s952,s1236,s58,s188,s3187,s2948]) ).
cnf(s5056,plain,
( ~ spl2_370
| ~ spl2_409
| ~ spl2_407
| ~ spl2_295
| spl2_539
| spl2_406
| spl2_299
| spl2_289
| ~ spl2_47
| spl2_298
| ~ spl2_76
| spl2_287
| ~ spl2_28 ),
inference(rat,[],[s3994,s4205,s4855,s2325,s1798,s5039,s5040]) ).
cnf(s5057,plain,
( ~ spl2_340
| ~ spl2_295
| spl2_351
| spl2_357
| spl2_539
| spl2_307
| spl2_406
| spl2_299
| spl2_289
| ~ spl2_47
| spl2_298
| ~ spl2_76
| spl2_287
| ~ spl2_270
| ~ spl2_28 ),
inference(rat,[],[s1787,s3994,s4172,s2618,s4384,s1176,s5056,s1627,s4667,s4183]) ).
cnf(s5058,plain,
( ~ spl2_466
| ~ spl2_603
| ~ spl2_292
| ~ spl2_295
| spl2_406
| spl2_287 ),
inference(rat,[],[s4181,s4665,s3447,s3388]) ).
cnf(s5059,plain,
( ~ spl2_295
| ~ spl2_343
| spl2_351
| spl2_357
| spl2_375
| spl2_539
| spl2_492
| spl2_307
| spl2_406
| spl2_299
| spl2_344
| spl2_289
| spl2_298
| ~ spl2_60
| ~ spl2_76
| ~ spl2_29
| spl2_287
| spl2_274
| ~ spl2_28 ),
inference(rat,[],[s3398,s4521,s3993,s4422,s3737,s4470,s5058,s4451,s4204,s4666,s4667,s4449,s3390,s1787,s4776,s4172,s4384,s3866,s3994,s4205,s1733,s3903,s2710,s5057,s792,s790,s79]) ).
cnf(s5060,plain,
( spl2_295
| spl2_328
| spl2_289
| ~ spl2_291
| ~ spl2_19
| ~ spl2_296
| ~ spl2_91 ),
inference(rat,[],[s4588,s3991,s2631,s1568]) ).
cnf(s5061,plain,
( spl2_11
| spl2_274
| ~ spl2_28
| spl2_4 ),
inference(rat,[],[s1078,s3761,s5059,s5057,s5060,s1534,s1532,s4544,s3236,s4568,s4164,s1381,s2601,s4527,s1122,s4156,s4160,s4200,s4209,s5055,s1213,s3472,s4915,s4261,s14,s1138,s79,s2064,s4460,s1937,s1403,s77,s1604,s4594,s19,s1763,s4042,s147,s5022,s225,s792,s3423,s821,s790,s1870,s402,s3419,s173,s166]) ).
cnf(s5062,plain,
( ~ spl2_343
| spl2_423
| ~ spl2_370
| spl2_289
| spl2_357
| spl2_375
| ~ spl2_29
| ~ spl2_389 ),
inference(rat,[],[s3990,s2652,s3715,s2134]) ).
cnf(s5063,plain,
( ~ spl2_295
| spl2_289
| spl2_357
| spl2_375
| spl2_307
| spl2_406
| ~ spl2_29
| ~ spl2_47
| ~ spl2_389
| spl2_274
| ~ spl2_28
| ~ spl2_88 ),
inference(rat,[],[s4172,s4385,s4776,s2070,s4176,s2190,s4183,s4667,s3761,s1630,s1078,s5062,s2172,s2766,s2126,s792,s821,s790,s402,s3419]) ).
cnf(s5064,plain,
( spl2_289
| spl2_306
| spl2_299
| spl2_357
| spl2_375
| spl2_307
| spl2_406
| ~ spl2_29
| ~ spl2_47
| ~ spl2_31
| ~ spl2_389
| spl2_274
| ~ spl2_28
| ~ spl2_88 ),
inference(rat,[],[s3683,s4172,s2741,s1650,s2696,s5063,s2690,s1604,s790]) ).
cnf(s5065,plain,
( ~ spl2_28
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1888,s3928,s3683,s853,s1332,s5064,s1120,s1205,s1532,s4544,s4164,s2601,s1122,s4534,s4156,s4200,s4209,s2690,s14,s3187,s2064,s1604,s1552,s28,s38,s58,s71,s78,s1257,s1349,s5061,s1870,s402,s790,s3419,s5054,s225,s173,s166,s5022,s5026]) ).
cnf(s5066,plain,
( ~ spl2_346
| spl2_357
| spl2_298
| ~ spl2_300
| ~ spl2_66
| spl2_287
| spl2_277 ),
inference(rat,[],[s4183,s4667,s1173,s4512,s3316,s1785]) ).
cnf(s5067,plain,
( spl2_346
| ~ spl2_20
| spl2_303
| ~ spl2_288
| ~ spl2_293
| spl2_289
| ~ spl2_29
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2656,s1115,s3092,s1533,s3159,s3994,s4184,s4544,s147,s5022,s73,s5065]) ).
cnf(s5068,plain,
( ~ spl2_557
| ~ spl2_274
| spl2_11
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1612,s3990,s3994,s2897,s2009,s1620,s2984,s1173,s5066,s3316,s5067,s2190,s1652,s4777,s4264,s2684,s4280,s4638,s2010,s1048,s3171,s4165,s2631,s2696,s3319,s1162,s58,s5029,s1323,s188,s2948,s173,s166,s5022,s19,s10,s1333,s847,s784,s1752,s4650,s1207,s4778,s1317,s73,s5065,s147,s437,s1895]) ).
cnf(s5069,plain,
( ~ spl2_340
| spl2_313
| ~ spl2_423
| spl2_293
| spl2_357
| spl2_375
| spl2_289
| ~ spl2_68 ),
inference(rat,[],[s1090,s2897,s3990,s2247,s3068]) ).
cnf(s5070,plain,
( ~ spl2_369
| spl2_291
| ~ spl2_374
| ~ spl2_437
| spl2_287
| ~ spl2_47
| ~ spl2_78 ),
inference(rat,[],[s4667,s2739,s2155,s1419]) ).
cnf(s5071,plain,
( ~ spl2_295
| ~ spl2_340
| spl2_357
| spl2_375
| spl2_406
| spl2_398
| spl2_289
| ~ spl2_274
| ~ spl2_19
| spl2_28
| ~ spl2_6 ),
inference(rat,[],[s4400,s5069,s4464,s4736,s3991,s2176,s4702,s3319,s73,s79,s77,s1546,s4264]) ).
cnf(s5072,plain,
( ~ spl2_274
| spl2_11
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1889,s3068,s2193,s2631,s5071,s1078,s2614,s1173,s5070,s1532,s4264,s14,s1446,s4544,s2601,s2192,s4777,s2677,s4156,s4200,s4209,s5068,s4650,s4778,s1333,s1878,s1317,s147,s5022,s73,s5065,s3745,s79,s77,s10]) ).
cnf(s5073,plain,
( ~ spl2_346
| spl2_357
| ~ spl2_66
| ~ spl2_300
| spl2_298
| spl2_287
| ~ spl2_270 ),
inference(rat,[],[s4183,s4667,s1173,s1627,s3316,s1785]) ).
cnf(s5074,plain,
( spl2_346
| ~ spl2_90
| spl2_11
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2656,s1115,s3092,s1533,s1078,s4448,s4666,s3582,s4544,s5022,s73,s5065,s19,s821,s402,s1895,s173,s166,s4774,s952,s58,s1323,s1403,s3423,s10,s1604,s790,s4042,s147,s1236,s188,s5072]) ).
cnf(s5075,plain,
( ~ spl2_90
| spl2_11
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4334,s4666,s3334,s4447,s2799,s1533,s1968,s2828,s2327,s4667,s2984,s1173,s1627,s5073,s3316,s1785,s5074,s4280,s4774,s3752,s4247,s952,s2164,s3893,s58,s1236,s1323,s188,s73,s5065,s792,s821,s402,s1895,s173,s166,s1604,s4042,s147,s1138,s1403,s3423,s790,s5072,s10]) ).
cnf(s5076,plain,
( ~ spl2_340
| spl2_357
| spl2_375
| spl2_298
| spl2_287
| ~ spl2_296
| spl2_28
| ~ spl2_88 ),
inference(rat,[],[s1630,s4667,s2614,s4183]) ).
cnf(s5077,plain,
( spl2_11
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4588,s3991,s4400,s3522,s4464,s2553,s4991,s1419,s2710,s5076,s2759,s1162,s4702,s3319,s5060,s1532,s4527,s3682,s14,s4544,s2601,s4777,s2677,s4156,s4200,s4209,s2948,s5075,s1213,s4915,s4261,s1138,s2690,s1403,s1604,s821,s3423,s790,s5072,s79,s2064,s77,s3745,s402,s10,s1895,s4042,s147,s173,s166,s5022,s1322,s73,s5065]) ).
cnf(s5078,plain,
( ~ spl2_274
| ~ spl2_557
| ~ spl2_11
| ~ spl2_68
| ~ spl2_6
| ~ spl2_94 ),
inference(rat,[],[s2157,s2127,s3583,s4041,s1752,s58,s1257]) ).
cnf(s5080,plain,
( ~ spl2_295
| ~ spl2_43
| ~ spl2_557
| ~ spl2_389
| ~ spl2_68
| ~ spl2_6
| ~ spl2_94 ),
inference(rat,[],[s2010,s2126,s2085,s1751,s2760,s1162,s3319]) ).
cnf(s5081,plain,
( ~ spl2_557
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1121,s1138,s2550,s3756,s1449,s1430,s3207,s3452,s1393,s1407,s3173,s4172,s3991,s2698,s1650,s1568,s930,s2696,s5080,s1236,s790,s5078,s1213,s4915,s1363,s188,s4421,s2948,s147,s173,s166,s1322,s73,s5065,s1349,s58,s2064,s71,s1257,s5077]) ).
cnf(s5082,plain,
( ~ spl2_295
| ~ spl2_340
| ~ spl2_298
| ~ spl2_437
| ~ spl2_274
| spl2_289
| spl2_357
| spl2_375
| ~ spl2_302
| spl2_406
| spl2_398
| ~ spl2_47
| spl2_28
| ~ spl2_6 ),
inference(rat,[],[s5069,s2234,s4736,s4705,s3991,s4172,s2176,s2630,s4702,s3319,s73,s1752,s1546,s4264]) ).
cnf(s5083,plain,
( ~ spl2_479
| spl2_353
| ~ spl2_355
| spl2_502
| spl2_289
| spl2_539
| ~ spl2_389
| ~ spl2_88 ),
inference(rat,[],[s4857,s3993,s4743,s4581,s2938]) ).
cnf(s5084,plain,
( ~ spl2_340
| ~ spl2_274
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3699,s4470,s4668,s3624,s2638,s4521,s5083,s1786,s4512,s4667,s3729,s4172,s3991,s1648,s2176,s2766,s2234,s2618,s3068,s3994,s1889,s3174,s2193,s5082,s147,s173,s166,s28,s2601,s4568,s1122,s4544,s1534,s1381,s4200,s3236,s4160,s4915,s2415,s3472,s1213,s1283,s4670,s4534,s5026,s1546,s2190,s4182,s847,s784,s1752,s1078,s5052,s4264,s4777,s4657,s2795,s11,s5022,s5065,s2064,s71,s1532,s14,s2677,s1446,s4156,s2192,s4209,s5081,s38,s1257,s1349,s5077]) ).
cnf(s5085,plain,
( spl2_479
| ~ spl2_281
| ~ spl2_370
| ~ spl2_333
| spl2_299
| spl2_344
| spl2_287
| spl2_492
| ~ spl2_29 ),
inference(rat,[],[s3699,s4470,s4668,s3624,s2638,s4521]) ).
cnf(s5086,plain,
( ~ spl2_295
| ~ spl2_298
| ~ spl2_437
| ~ spl2_274
| spl2_299
| spl2_344
| spl2_287
| spl2_289
| spl2_539
| spl2_492
| ~ spl2_302
| spl2_406
| spl2_398
| ~ spl2_29
| ~ spl2_47
| ~ spl2_389
| spl2_28
| ~ spl2_6 ),
inference(rat,[],[s3382,s4668,s2973,s4169,s2938,s5085,s2234,s4736,s4705,s3991,s2759,s4172,s2176,s2766,s1162,s2630,s4702,s3319,s1546,s4264,s2190,s847,s784,s1752]) ).
cnf(s5087,plain,
( ~ spl2_479
| spl2_313
| ~ spl2_288
| spl2_287
| spl2_539
| ~ spl2_389
| ~ spl2_88 ),
inference(rat,[],[s4668,s2635,s4169,s2938]) ).
cnf(s5088,plain,
( ~ spl2_274
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3737,s4470,s3993,s3624,s3398,s4521,s5087,s2234,s4705,s4172,s3729,s1889,s2193,s2696,s5086,s4667,s4666,s2155,s1733,s2632,s2710,s5084,s1078,s2190,s847,s5052,s1546,s4182,s784,s4264,s2192,s1752,s147,s173,s166,s1349,s38,s28,s4777,s2601,s4568,s1122,s4209,s1446,s1534,s1381,s4200,s1532,s4156,s3236,s4160,s4915,s4657,s3472,s1213,s2795,s11,s5022,s5065,s2064,s71,s1257,s1283,s4670,s4534,s14,s2677,s5081,s5026,s5077]) ).
cnf(s5089,plain,
( ~ spl2_340
| ~ spl2_425
| ~ spl2_278
| spl2_308
| ~ spl2_333
| spl2_299
| spl2_344
| spl2_502
| spl2_287
| spl2_289
| spl2_539
| spl2_328
| spl2_357
| spl2_306
| spl2_375
| spl2_492
| ~ spl2_29
| ~ spl2_47
| ~ spl2_389
| ~ spl2_68
| ~ spl2_88 ),
inference(rat,[],[s3991,s2176,s5085,s1546,s5083,s4334,s3052,s2982,s3994,s3734,s4666,s4447,s1078,s2247,s3004,s2766]) ).
cnf(s5090,plain,
( ~ spl2_295
| ~ spl2_298
| spl2_274
| spl2_18
| spl2_299
| spl2_344
| spl2_502
| spl2_287
| spl2_289
| spl2_539
| spl2_328
| spl2_357
| spl2_351
| spl2_306
| spl2_375
| spl2_492
| spl2_406
| ~ spl2_29
| ~ spl2_47
| ~ spl2_389
| spl2_28
| ~ spl2_88 ),
inference(rat,[],[s3729,s4667,s1889,s1737,s2652,s2710,s5089,s4385,s4172,s4776,s4176,s2766,s4702,s73,s2190,s792,s790]) ).
cnf(s5091,plain,
( spl2_343
| ~ spl2_278
| ~ spl2_288
| ~ spl2_296
| spl2_18
| spl2_287
| spl2_351
| ~ spl2_88 ),
inference(rat,[],[s3729,s1889,s4667,s2653,s1630]) ).
cnf(s5092,plain,
( ~ spl2_298
| spl2_274
| spl2_18
| spl2_299
| spl2_344
| spl2_502
| spl2_287
| spl2_289
| spl2_539
| spl2_328
| spl2_357
| spl2_351
| spl2_306
| spl2_375
| spl2_492
| spl2_406
| ~ spl2_316
| spl2_346
| ~ spl2_29
| ~ spl2_47
| ~ spl2_60
| ~ spl2_389
| spl2_28
| ~ spl2_88 ),
inference(rat,[],[s3737,s4470,s3993,s3624,s3398,s4521,s5087,s3598,s1393,s3751,s4666,s2648,s2690,s3683,s3863,s2174,s3990,s3729,s4667,s1737,s1733,s2710,s3092,s5091,s4172,s1650,s2696,s5090,s2190,s73,s792,s790]) ).
cnf(s5093,plain,
( ~ spl2_295
| ~ spl2_361
| ~ spl2_603
| spl2_340
| spl2_298
| spl2_274
| spl2_299
| spl2_344
| spl2_287
| spl2_289
| spl2_539
| spl2_306
| spl2_492
| spl2_406
| ~ spl2_29
| spl2_28 ),
inference(rat,[],[s3398,s4521,s3993,s4422,s3737,s4470,s5058,s4776,s4172,s3734,s4666,s4445,s4821,s4205,s3994,s3866,s4702,s790,s2710]) ).
cnf(s5094,plain,
( ~ spl2_479
| spl2_298
| ~ spl2_334
| spl2_299
| spl2_502
| spl2_539
| ~ spl2_389 ),
inference(rat,[],[s3448,s4470,s4743,s4422,s2938]) ).
cnf(s5095,plain,
( ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3448,s4743,s4470,s4587,s3699,s3993,s4668,s3398,s2638,s4521,s5094,s2003,s4445,s4666,s3734,s3994,s1533,s3866,s2766,s5091,s4384,s4172,s3991,s1650,s1568,s2696,s5093,s1733,s4451,s2710,s4417,s5076,s1138,s5092,s3423,s790,s5088,s1283,s1213,s3472,s2415,s4657,s4915,s4670,s2795,s3236,s4164,s4527,s1532,s4534,s1534,s1120,s11,s14,s4544,s4568,s4576,s1381,s2601,s1122,s2677,s4156,s4160,s4200,s4209,s5081,s2064,s28,s38,s71,s1257,s1349,s5077,s5065,s5026,s147,s173,s166,s5022]) ).
cnf(s5096,plain,
( spl2_308
| ~ spl2_340
| ~ spl2_346
| ~ spl2_295
| ~ spl2_300
| spl2_299
| ~ spl2_90
| spl2_357
| ~ spl2_298
| spl2_20
| ~ spl2_76
| ~ spl2_28
| spl2_287
| spl2_289
| spl2_18
| ~ spl2_274
| ~ spl2_47
| ~ spl2_5 ),
inference(rat,[],[s4668,s2945,s3382,s3876,s3002,s2340,s4770,s3853,s2852,s4468,s3244,s1648,s4705,s4172,s2234,s1697,s5040,s3068,s4736,s1665,s1889,s3991,s3545,s3709,s2123,s2552,s4622,s2771,s2172,s2766]) ).
cnf(s5097,plain,
( spl2_331
| ~ spl2_308
| spl2_39
| spl2_20
| ~ spl2_28
| ~ spl2_5 ),
inference(rat,[],[s3598,s4272,s3857,s4626,s1381,s14,s58,s3288]) ).
cnf(s5098,plain,
( ~ spl2_407
| spl2_406
| spl2_339
| ~ spl2_346
| ~ spl2_295
| spl2_289
| ~ spl2_94 ),
inference(rat,[],[s4205,s3994,s2327,s1799,s1797]) ).
cnf(s5099,plain,
( spl2_343
| ~ spl2_340
| ~ spl2_17
| ~ spl2_96
| spl2_20
| ~ spl2_19
| ~ spl2_88 ),
inference(rat,[],[s1099,s3000,s4697,s1113,s1078]) ).
cnf(s5100,plain,
( ~ spl2_442
| spl2_398
| spl2_431
| ~ spl2_331
| ~ spl2_300
| spl2_289
| ~ spl2_274 ),
inference(rat,[],[s3991,s3709,s4736,s2552,s2553]) ).
cnf(s5101,plain,
( spl2_407
| ~ spl2_343
| spl2_431
| ~ spl2_331
| ~ spl2_300
| spl2_287
| spl2_289
| ~ spl2_274 ),
inference(rat,[],[s2131,s3994,s4172,s2837,s3492,s5100,s2733,s4667]) ).
cnf(s5102,plain,
( ~ spl2_340
| ~ spl2_346
| ~ spl2_295
| ~ spl2_300
| ~ spl2_557
| spl2_357
| ~ spl2_298
| ~ spl2_76
| ~ spl2_28
| spl2_287
| spl2_289
| spl2_18
| ~ spl2_274
| ~ spl2_19
| spl2_4 ),
inference(rat,[],[s3991,s1665,s1015,s5098,s1627,s5101,s5099,s2123,s2230,s5097,s5096,s173,s4,s5095,s5022,s79,s188,s2948,s58,s3187,s1213,s2792,s2789,s2856,s196,s225,s166,s2064,s77,s1785]) ).
cnf(s5103,plain,
( ~ spl2_346
| ~ spl2_295
| ~ spl2_300
| ~ spl2_557
| spl2_357
| ~ spl2_298
| ~ spl2_28
| spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s3866,s5097,s3994,s2123,s4205,s5098,s1665,s3991,s1015,s1627,s4667,s2733,s3531,s4666,s1419,s4449,s3903,s2710,s5102,s1785,s4,s5095,s5022,s19,s3745,s79,s1878,s1333,s4594,s3187,s1213,s2792,s2789,s2856,s196,s225,s166,s2064,s77,s10]) ).
cnf(s5104,plain,
( spl2_346
| ~ spl2_422
| ~ spl2_17
| ~ spl2_24
| ~ spl2_28
| ~ spl2_60
| ~ spl2_5 ),
inference(rat,[],[s4701,s1099,s2148,s2248,s1173,s1733,s4625,s1446]) ).
cnf(s5105,plain,
( spl2_295
| spl2_299
| ~ spl2_17
| ~ spl2_90
| spl2_20
| spl2_11
| ~ spl2_91 ),
inference(rat,[],[s4638,s1048,s2741,s930,s2631,s2696,s4042,s10]) ).
cnf(s5106,plain,
( ~ spl2_557
| spl2_357
| ~ spl2_298
| ~ spl2_28
| spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s4268,s3780,s4041,s1122,s4623,s5103,s5105,s5104,s1213,s4157,s2792,s58,s2789,s3187,s2948,s147,s4,s5095,s5022,s2064,s79,s2856,s14,s196,s225,s166,s77,s10]) ).
cnf(s5107,plain,
( spl2_557
| spl2_334
| ~ spl2_24
| ~ spl2_28
| spl2_289
| ~ spl2_47
| ~ spl2_5 ),
inference(rat,[],[s3598,s4588,s3173,s3991,s1015,s3780,s2069,s4453,s1120,s4626,s4527,s1122,s4623,s4200,s4209]) ).
cnf(s5108,plain,
( spl2_308
| ~ spl2_343
| ~ spl2_300
| ~ spl2_295
| ~ spl2_346
| ~ spl2_28
| spl2_287
| spl2_289
| ~ spl2_274
| ~ spl2_47
| spl2_4 ),
inference(rat,[],[s1665,s3991,s5098,s3709,s5101,s2552,s2123,s2230,s4622,s2771,s2172,s2766,s166,s4,s5095,s5022]) ).
cnf(s5109,plain,
( ~ spl2_343
| ~ spl2_300
| ~ spl2_295
| ~ spl2_357
| spl2_39
| spl2_20
| ~ spl2_28
| spl2_287
| spl2_289
| ~ spl2_274
| ~ spl2_47
| spl2_4 ),
inference(rat,[],[s1799,s5101,s2123,s2230,s3994,s5097,s1620,s5108,s166,s4,s5095,s5022,s1532,s14]) ).
cnf(s5110,plain,
( spl2_343
| ~ spl2_17
| ~ spl2_96
| spl2_20
| ~ spl2_28
| spl2_11
| ~ spl2_88 ),
inference(rat,[],[s3761,s5099,s1078,s19,s10]) ).
cnf(s5111,plain,
( ~ spl2_298
| ~ spl2_28
| spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s4268,s3780,s4041,s1122,s4623,s5109,s5110,s5105,s1213,s2792,s58,s188,s5106,s2789,s3187,s2948,s5107,s1403,s147,s173,s4,s5095,s5022,s2064,s79,s1333,s2856,s14,s196,s225,s166,s77,s10]) ).
cnf(s5112,plain,
( ~ spl2_300
| ~ spl2_28
| spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s4774,s4512,s2162,s5101,s2230,s5097,s1785,s5108,s5104,s5105,s5110,s4157,s952,s58,s188,s3187,s2948,s4209,s147,s173,s4,s5095,s5022,s79,s1333,s14,s1213,s4261,s1138,s1321,s196,s225,s166,s5111,s2064,s77,s10]) ).
cnf(s5113,plain,
( ~ spl2_557
| ~ spl2_291
| ~ spl2_316
| ~ spl2_425
| spl2_20
| spl2_73
| ~ spl2_94 ),
inference(rat,[],[s4268,s4041,s3187]) ).
cnf(s5114,plain,
( ~ spl2_28
| spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s3991,s4588,s3522,s2229,s2553,s3492,s4172,s4384,s2172,s4164,s4622,s4200,s5113,s3780,s4527,s1122,s4623,s5112,s5111,s14,s196,s225,s166,s4,s5095,s5022,s79,s77,s10,s1333]) ).
cnf(s5115,plain,
( ~ spl2_298
| spl2_333
| ~ spl2_291
| ~ spl2_17
| ~ spl2_27
| spl2_32
| spl2_289
| ~ spl2_274
| ~ spl2_19
| ~ spl2_91 ),
inference(rat,[],[s2631,s3171,s4040,s1772,s1407,s1272,s3991,s1015,s4632,s2190]) ).
cnf(s5117,plain,
( ~ spl2_308
| ~ spl2_442
| ~ spl2_295
| ~ spl2_293
| ~ spl2_89
| spl2_299
| spl2_28
| spl2_4 ),
inference(rat,[],[s2553,s2230,s3438,s2601,s1633,s4702,s166,s5022]) ).
cnf(s5118,plain,
( ~ spl2_295
| ~ spl2_293
| ~ spl2_398
| ~ spl2_89
| ~ spl2_17
| spl2_299
| spl2_32
| spl2_28
| spl2_289
| ~ spl2_19
| spl2_4 ),
inference(rat,[],[s4622,s1598,s4464,s4234,s5117,s4400,s3492,s1048,s4172,s4040,s1697,s70,s4,s5095,s5022]) ).
cnf(s5119,plain,
( ~ spl2_283
| ~ spl2_279
| ~ spl2_288
| spl2_277
| ~ spl2_398
| spl2_287
| ~ spl2_91 ),
inference(rat,[],[s4667,s4512,s2733,s1787,s3159]) ).
cnf(s5120,plain,
( ~ spl2_300
| spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s5066,s4184,s1620,s3994,s5119,s4172,s3683,s1048,s1121,s2741,s2631,s2696,s5118,s1162,s5029,s4347,s952,s1138,s5115,s4264,s2690,s1652,s2158,s4042,s79,s77,s10,s1333,s4280,s2180,s1207,s4778,s1317,s147,s437,s1895,s1244,s142,s2612,s19,s188,s58,s3586,s1323,s2948,s2677,s70,s4,s5095,s5022,s73,s5114]) ).
cnf(s5121,plain,
( spl2_287
| ~ spl2_274
| spl2_11
| spl2_4 ),
inference(rat,[],[s952,s1403,s4347,s4797,s4041,s4264,s4623,s4777,s5120,s58,s1323,s2948,s2180,s2677,s70,s5114,s166,s147,s4,s5095,s5022,s10]) ).
cnf(s5122,plain,
( ~ spl2_23
| spl2_39
| spl2_20 ),
inference(rat,[],[s58,s2796]) ).
cnf(s5123,plain,
( ~ spl2_287
| spl2_11
| spl2_4 ),
inference(rat,[],[s5122,s1325,s2180,s4657,s4660,s147,s4,s5095,s5022,s402,s1895,s173,s166,s2064,s77,s10]) ).
cnf(s5124,plain,
( spl2_308
| ~ spl2_295
| ~ spl2_17
| spl2_32
| ~ spl2_20
| spl2_287
| ~ spl2_19
| ~ spl2_5 ),
inference(rat,[],[s4400,s4464,s1048,s4622,s4040,s1598,s1162,s1557,s1751,s2766,s224,s196,s77]) ).
cnf(s5125,plain,
( ~ spl2_295
| spl2_11
| spl2_4 ),
inference(rat,[],[s3221,s4172,s2601,s2659,s4702,s5124,s2180,s4915,s4261,s1322,s4294,s4247,s3893,s1236,s188,s1604,s4042,s147,s58,s1323,s2948,s2677,s70,s5061,s4,s5095,s5022,s1138,s1403,s3423,s790,s10,s5121,s5123]) ).
cnf(s5126,plain,
( spl2_11
| spl2_4 ),
inference(rat,[],[s4984,s2741,s5060,s2696,s5125,s1213,s4915,s4261,s1138,s1403,s73,s1322,s1604,s3423,s792,s5061,s790,s5121,s5123,s2064,s77,s10,s4042,s147]) ).
cnf(s5128,plain,
( ~ spl2_300
| ~ spl2_343
| ~ spl2_346
| ~ spl2_47
| spl2_289
| ~ spl2_295
| spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s3991,s1272,s1015,s2162,s1627,s5101,s2230,s2126,s5097,s5108,s1785,s4,s5095,s5022,s1349,s5126,s3187,s4156,s225,s166]) ).
cnf(s5130,plain,
( ~ spl2_47
| spl2_308
| ~ spl2_300
| spl2_289
| ~ spl2_17
| ~ spl2_295
| spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s4040,s1815,s1406,s1783,s5098,s1889,s1665,s3545,s1113,s1414,s3991,s2123,s5128,s3709,s5104,s2552,s139,s4622,s232,s2172,s173,s166,s4,s5095,s14,s6,s11,s5022,s5126,s1293,s4157,s188,s2948,s4209,s1373,s2771,s2766]) ).
cnf(s5131,plain,
( spl2_308
| ~ spl2_300
| spl2_289
| ~ spl2_17
| ~ spl2_295
| spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s3207,s3991,s4345,s4199,s3948,s1158,s1171,s1600,s952,s139,s967,s79,s5130,s166,s6,s11,s5022,s5126]) ).
cnf(s5132,plain,
( ~ spl2_60
| ~ spl2_47
| ~ spl2_300
| spl2_289
| ~ spl2_17
| ~ spl2_295
| spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s3990,s3533,s2009,s2594,s1173,s4052,s1419,s1414,s2123,s5128,s5104,s86,s173,s14,s4157,s5097,s3187,s4209,s225,s166,s4,s5095,s5022,s2126,s5131,s1349,s5126]) ).
cnf(s5133,plain,
( spl2_60
| ~ spl2_331
| ~ spl2_308
| ~ spl2_17
| ~ spl2_14
| spl2_20
| ~ spl2_94 ),
inference(rat,[],[s4722,s4638,s1171,s1048,s139,s1149]) ).
cnf(s5134,plain,
( ~ spl2_300
| spl2_289
| ~ spl2_17
| ~ spl2_295
| spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s5132,s79,s5133,s5097,s5131,s3187,s4209,s4,s5095,s225,s166,s6,s11,s5022,s5126]) ).
cnf(s5135,plain,
( spl2_300
| spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s4807,s4182,s3408,s2070,s2192,s1122,s4623,s4,s5095,s5022,s80,s5126,s14]) ).
cnf(s5136,plain,
( spl2_308
| ~ spl2_293
| spl2_295
| ~ spl2_17
| ~ spl2_14
| ~ spl2_24
| ~ spl2_28
| spl2_4 ),
inference(rat,[],[s139,s1689,s86,s4622,s1509,s4906,s2741,s166,s4,s5095,s5022,s1137]) ).
cnf(s5137,plain,
( spl2_20
| ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s85,s1421,s2594,s5097,s5136,s930,s5134,s4915,s5122,s58,s3187,s2948,s4209,s5135,s6,s11,s14,s147,s4,s5095,s5022,s5126,s225,s166]) ).
cnf(s5139,plain,
( ~ spl2_343
| ~ spl2_320
| spl2_32
| ~ spl2_435
| spl2_359
| ~ spl2_589
| spl2_287 ),
inference(rat,[],[s2144,s1115,s4667,s4260,s2969]) ).
cnf(s5140,plain,
( ~ spl2_28
| ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s1889,s3067,s2653,s1113,s5139,s1137,s4040,s1162,s2707,s5029,s784,s4347,s4945,s4670,s1434,s952,s2147,s1138,s1535,s1099,s3145,s1048,s1743,s188,s1293,s4938,s967,s1104,s1149,s2948,s90,s196,s2677,s5137,s225,s173,s166,s5126]) ).
cnf(s5141,plain,
( ~ spl2_291
| ~ spl2_15
| ~ spl2_557
| ~ spl2_68
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s4041,s2829,s3893,s3279,s166,s1349,s5126]) ).
cnf(s5142,plain,
( ~ spl2_300
| spl2_291
| ~ spl2_20
| ~ spl2_68
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s2127,s2157,s2067,s4807,s4720,s1652,s166,s5126]) ).
cnf(s5143,plain,
( spl2_331
| ~ spl2_47
| ~ spl2_277
| ~ spl2_316
| ~ spl2_271
| spl2_289
| ~ spl2_295
| spl2_28
| spl2_4 ),
inference(rat,[],[s3991,s4640,s2176,s2760,s4702,s2085,s2601,s4622,s166,s2677,s70,s4,s5095,s5022]) ).
cnf(s5144,plain,
( spl2_289
| ~ spl2_17
| ~ spl2_295
| spl2_28
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s3598,s1596,s2594,s4702,s1176,s1557,s1598,s5143,s79,s967,s952,s4347,s4041,s1122,s4623,s5142,s1546,s5141,s4052,s5011,s166,s5126,s73,s3,s1893,s1317,s2677,s70,s4,s5095,s5022]) ).
cnf(s5145,plain,
( ~ spl2_289
| spl2_28
| spl2_287
| ~ spl2_11 ),
inference(rat,[],[s915,s2064,s2795,s4938,s4915,s3934]) ).
cnf(s5146,plain,
( ~ spl2_300
| ~ spl2_295
| spl2_289
| spl2_28
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s4040,s1407,s1772,s3991,s1015,s4632,s2190,s4769,s4264,s5142,s1652,s73,s5011,s3,s1893,s1317,s5126,s1244,s142,s36,s58,s5144,s188,s2948,s2677,s70,s4,s5095,s5022]) ).
cnf(s5147,plain,
( ~ spl2_295
| spl2_289
| spl2_28
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s4172,s3492,s2607,s2550,s3598,s1596,s4702,s1176,s3231,s1449,s1598,s5143,s1546,s4041,s4264,s1122,s4623,s4777,s5146,s38,s58,s5144,s166,s5126,s2677,s70,s4,s5095,s5022]) ).
cnf(s5148,plain,
( spl2_291
| ~ spl2_293
| ~ spl2_288
| spl2_289
| ~ spl2_20
| ~ spl2_68
| ~ spl2_274
| spl2_4 ),
inference(rat,[],[s4172,s4098,s2607,s4797,s1122,s4623,s5142,s4,s5095,s5022]) ).
cnf(s5149,plain,
( spl2_542
| spl2_331
| spl2_554
| ~ spl2_288
| ~ spl2_90
| spl2_287
| ~ spl2_88 ),
inference(rat,[],[s3005,s4668,s2340,s2635,s3876]) ).
cnf(s5150,plain,
( ~ spl2_542
| spl2_554
| spl2_541
| ~ spl2_29
| spl2_32
| ~ spl2_20
| spl2_28 ),
inference(rat,[],[s2340,s2704,s4089,s4351]) ).
cnf(s5151,plain,
( ~ spl2_274
| spl2_287
| spl2_4 ),
inference(rat,[],[s4340,s4337,s4259,s4256,s1176,s4665,s3231,s3124,s1598,s4782,s5149,s4743,s5150,s1272,s1407,s3853,s2852,s3991,s4468,s1015,s3244,s2190,s28,s4041,s1652,s85,s2829,s4777,s4769,s5141,s3279,s4264,s5148,s930,s1137,s5147,s5011,s5145,s1210,s2406,s2948,s2677,s3,s70,s73,s1893,s5140,s1317,s173,s166,s4,s5095,s5022,s1349,s5126]) ).
cnf(s5152,plain,
( ~ spl2_300
| ~ spl2_277
| ~ spl2_17
| ~ spl2_14
| ~ spl2_28
| spl2_274
| spl2_4 ),
inference(rat,[],[s139,s86,s1158,s1509,s4720,s1604,s3893,s4052,s884,s173,s166,s5126,s790]) ).
cnf(s5153,plain,
( ~ spl2_557
| ~ spl2_17
| spl2_20
| ~ spl2_28
| spl2_274
| spl2_4 ),
inference(rat,[],[s4807,s1138,s5113,s2070,s1848,s1122,s4623,s5152,s1236,s849,s188,s2948,s4,s5095,s225,s166,s14,s6,s11,s5022,s5126]) ).
cnf(s5154,plain,
( ~ spl2_17
| spl2_289
| spl2_20
| ~ spl2_28
| spl2_287
| spl2_4 ),
inference(rat,[],[s3729,s1889,s4667,s4172,s1095,s1632,s3587,s3495,s139,s138,s4451,s5104,s1534,s1381,s4622,s3518,s4623,s4156,s4200,s4209,s5153,s4157,s4,s5095,s983,s5151,s14,s6,s11,s5022,s5126]) ).
cnf(s5155,plain,
( spl2_17
| ~ spl2_295
| ~ spl2_77
| spl2_73
| ~ spl2_28
| ~ spl2_5 ),
inference(rat,[],[s3411,s2172,s1381,s4622,s4200,s3187,s38,s58]) ).
cnf(s5156,plain,
( ~ spl2_17
| spl2_20
| ~ spl2_28
| spl2_287
| spl2_4 ),
inference(rat,[],[s5104,s4938,s4156,s5154,s5153,s4157,s4,s5095,s5022,s5151,s14]) ).
cnf(s5157,plain,
( spl2_20
| ~ spl2_28
| spl2_287
| spl2_4 ),
inference(rat,[],[s3683,s1120,s1122,s1888,s2741,s4200,s4209,s2690,s1650,s1137,s3187,s1604,s5155,s58,s78,s5156,s80,s173,s4,s5095,s5022,s790,s983,s5151,s5126,s225,s166]) ).
cnf(s5158,plain,
( ~ spl2_300
| ~ spl2_295
| ~ spl2_277
| spl2_303
| spl2_406
| ~ spl2_17
| spl2_274
| spl2_4 ),
inference(rat,[],[s4385,s1888,s2067,s3731,s4720,s1162,s3893,s4040,s4052,s884,s173,s166,s983,s5126]) ).
cnf(s5159,plain,
( spl2_331
| ~ spl2_62
| ~ spl2_277
| spl2_330
| spl2_289
| ~ spl2_296
| spl2_287
| ~ spl2_5 ),
inference(rat,[],[s3991,s1025,s3207]) ).
cnf(s5160,plain,
( ~ spl2_32
| ~ spl2_295
| ~ spl2_28
| spl2_287
| spl2_4 ),
inference(rat,[],[s4942,s2968,s3990,s1162,s3715,s4403,s1078,s4670,s5004,s4945,s2116,s173,s2782,s2942,s1104,s1122,s2553,s2230,s5159,s952,s967,s790,s2425,s4665,s4181,s4941,s1211,s3587,s138,s3518,s4938,s3165,s3144,s4451,s4623,s5158,s1236,s188,s2948,s1048,s90,s4,s5095,s5022,s5151,s2677,s1596,s1149,s196,s5157,s225,s166,s5126]) ).
cnf(s5161,plain,
( ~ spl2_295
| ~ spl2_28
| spl2_287
| spl2_4 ),
inference(rat,[],[s3448,s4470,s2979,s3529,s4089,s2968,s1162,s4040,s5160,s4665,s4181,s4941,s1211,s3587,s138,s4451,s3518,s4623,s5158,s4,s5095,s5022,s3423,s790,s4938,s3165,s3144,s1596,s5126,s1048,s1149,s196,s90,s225,s166,s1236,s188,s2948,s2677,s5157,s5151]) ).
cnf(s5162,plain,
( ~ spl2_28
| spl2_287
| spl2_4 ),
inference(rat,[],[s3173,s1891,s930,s1568,s5161,s1121,s1236,s1138,s188,s967,s1149,s2948,s196,s2677,s5157,s225,s166,s147,s790,s983,s5151,s5126]) ).
cnf(s5163,plain,
( ~ spl2_300
| ~ spl2_17
| spl2_287
| spl2_4 ),
inference(rat,[],[s2067,s4720,s3752,s3893,s2164,s4052,s2191,s884,s4294,s173,s166,s5126,s73,s1236,s188,s2948,s2677,s70,s5162,s4,s5095,s5022,s5151]) ).
cnf(s5164,plain,
( spl2_331
| spl2_300
| spl2_287
| spl2_4 ),
inference(rat,[],[s3458,s1162,s1888,s2760,s3495,s2085,s4622,s1381,s166,s983,s5126,s849,s2948,s2677,s70,s5162,s4451,s4623,s4,s5095,s5022,s5151]) ).
cnf(s5165,plain,
( ~ spl2_60
| ~ spl2_295
| ~ spl2_17
| spl2_287
| spl2_4 ),
inference(rat,[],[s4052,s2594,s5008,s3598,s1213,s1596,s2795,s4702,s940,s1176,s1557,s2064,s5151,s73,s5145,s5126,s1598,s5164,s5163,s70,s5162,s4,s5095,s5022]) ).
cnf(s5166,plain,
( ~ spl2_295
| ~ spl2_17
| spl2_287
| spl2_4 ),
inference(rat,[],[s2979,s3448,s4089,s4470,s5011,s3529,s3,s2968,s1318,s1162,s3884,s3171,s4665,s2010,s4181,s2085,s4941,s955,s1202,s3587,s1596,s12,s3165,s138,s1149,s1370,s3144,s5165,s166,s3423,s790,s1893,s1322,s73,s188,s2948,s2677,s70,s3518,s5145,s5162,s5126,s4451,s4623,s4,s5095,s5022,s5151,s5164,s5163]) ).
cnf(s5167,plain,
( ~ spl2_17
| spl2_287
| spl2_4 ),
inference(rat,[],[s1407,s3452,s1891,s1888,s930,s1568,s1650,s5166,s5163,s147,s173,s166,s790,s983,s5126,s1236,s188,s2948,s2677,s70,s5162,s4,s5095,s5022,s5151]) ).
cnf(s5168,plain,
( spl2_331
| spl2_414
| ~ spl2_295
| spl2_28
| spl2_4 ),
inference(rat,[],[s4702,s4464,s2601,s4622,s4,s5095,s5022]) ).
cnf(s5169,plain,
( ~ spl2_293
| ~ spl2_300
| ~ spl2_295
| spl2_287
| spl2_4 ),
inference(rat,[],[s4260,s2118,s1429,s5000,s3994,s2018,s2837,s1888,s2552,s3221,s5168,s3521,s3709,s3991,s1407,s4040,s173,s166,s790,s983,s1236,s5011,s3,s1318,s3553,s1893,s5145,s5126,s1244,s142,s36,s58,s5167,s188,s2948,s2677,s70,s5162,s4,s5095,s5022,s4294,s5151]) ).
cnf(s5170,plain,
( ~ spl2_290
| ~ spl2_295
| spl2_17
| ~ spl2_96
| ~ spl2_557
| ~ spl2_68
| ~ spl2_94 ),
inference(rat,[],[s2010,s1574,s2085,s1751,s2760,s4421]) ).
cnf(s5171,plain,
( ~ spl2_295
| spl2_287
| spl2_4 ),
inference(rat,[],[s5000,s4260,s2018,s2118,s1429,s1888,s3994,s3495,s1610,s2010,s1596,s1574,s4702,s1176,s3231,s1598,s4451,s5164,s4623,s5169,s1162,s5170,s173,s166,s790,s983,s73,s1236,s5151,s5011,s3,s1318,s3553,s1893,s5145,s5126,s1244,s142,s36,s58,s5167,s188,s2948,s2677,s70,s5162,s4,s5095,s5022]) ).
cnf(s5172,plain,
( spl2_287
| spl2_4 ),
inference(rat,[],[s1138,s1121,s2191,s2559,s4294,s1449,s3452,s3207,s3173,s1407,s1393,s1891,s1888,s930,s1568,s1650,s5171,s58,s5167,s1236,s188,s2948,s2677,s70,s5162,s983,s790,s5151,s147,s173,s166,s4,s5095,s5022,s5126]) ).
cnf(s5174,plain,
( spl2_274
| spl2_4 ),
inference(rat,[],[s821,s402,s790,s3419,s173,s166,s5172]) ).
cnf(s5175,plain,
spl2_4,
inference(rat,[],[s4653,s2661,s4650,s5174,s3970,s5172,s5126]) ).
cnf(s5177,plain,
( ~ spl2_277
| ~ spl2_555
| ~ spl2_270
| ~ spl2_346
| ~ spl2_47
| spl2_20
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17 ),
inference(rat,[],[s4347,s1414,s4634,s2733,s4867,s1512,s2046,s5175]) ).
cnf(s5178,plain,
( spl2_331
| ~ spl2_5
| ~ spl2_293
| ~ spl2_47
| ~ spl2_422
| ~ spl2_28 ),
inference(rat,[],[s2172,s2165,s4622,s1381]) ).
cnf(s5179,plain,
( ~ spl2_478
| spl2_32
| spl2_554
| ~ spl2_19
| spl2_20
| ~ spl2_88 ),
inference(rat,[],[s2979,s4153,s4089,s4770]) ).
cnf(s5180,plain,
( ~ spl2_293
| spl2_11
| spl2_20
| ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3737,s3993,s4470,s2362,s3343,s2340,s5179,s1968,s3000,s4666,s4418,s4395,s1414,s1078,s4414,s4567,s2129,s1429,s1198,s4665,s1888,s3994,s2425,s3492,s1611,s2552,s2049,s5178,s3326,s4139,s784,s5177,s4667,s1627,s3709,s1015,s1785,s3991,s5104,s1665,s2,s4780,s1591,s3319,s2046,s4209,s14,s4157,s1878,s1333,s79,s77,s10,s5175]) ).
cnf(s5181,plain,
( spl2_277
| spl2_293
| ~ spl2_47
| spl2_18
| ~ spl2_557
| ~ spl2_28
| ~ spl2_274
| ~ spl2_295 ),
inference(rat,[],[s4588,s1593,s3598,s3780,s2172,s3151,s4385,s4736,s1665,s1697,s1891,s1888,s3326,s3251,s784,s2760,s1162]) ).
cnf(s5182,plain,
( spl2_331
| spl2_312
| ~ spl2_5
| spl2_293
| ~ spl2_76
| ~ spl2_24
| ~ spl2_28
| ~ spl2_17 ),
inference(rat,[],[s3857,s4775,s3598,s4496,s4626,s4622]) ).
cnf(s5183,plain,
( ~ spl2_32
| ~ spl2_285
| spl2_351
| spl2_344
| spl2_293
| ~ spl2_19
| ~ spl2_422
| ~ spl2_88 ),
inference(rat,[],[s1821,s4893,s2597]) ).
cnf(s5184,plain,
( spl2_11
| spl2_20
| ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2563,s3672,s3989,s3236,s4174,s2639,s2861,s3993,s4857,s4697,s4418,s2979,s1078,s2945,s3715,s2172,s4256,s4520,s2374,s3800,s4181,s4668,s4665,s3382,s2968,s3002,s5179,s5183,s1889,s3533,s2123,s5182,s1272,s1665,s3664,s3024,s3853,s2852,s1891,s4666,s4468,s1015,s1677,s3244,s2058,s1213,s3472,s4867,s2794,s4634,s3893,s4774,s4720,s3731,s5104,s4172,s2,s1697,s1752,s1512,s5181,s2759,s1162,s5180,s79,s2064,s77,s4594,s1333,s1878,s10,s2046,s4209,s14,s4157,s5175]) ).
cnf(s5185,plain,
( ~ spl2_293
| ~ spl2_271
| spl2_308
| spl2_18
| ~ spl2_24
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295 ),
inference(rat,[],[s1891,s1665,s4910,s1591,s2771,s1176,s5175]) ).
cnf(s5186,plain,
( spl2_20
| ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1149,s79,s1596,s5049,s4385,s854,s1697,s1888,s3731,s1162,s5185,s2069,s750,s1408,s4720,s1546,s88,s940,s2773,s11,s993,s1237,s5184,s14,s1317,s5175]) ).
cnf(s5187,plain,
( spl2_11
| ~ spl2_293
| ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2144,s1115,s4667,s2153,s4183,s1173,s4246,s5073,s4708,s1620,s4345,s1609,s3994,s4347,s2759,s1610,s4871,s2552,s1598,s3465,s2190,s1048,s2601,s4403,s3709,s1015,s5124,s4040,s88,s1891,s402,s1851,s4280,s4594,s1333,s1878,s10,s1895,s2046,s1652,s5186,s2,s3319,s1665,s1591,s5175]) ).
cnf(s5188,plain,
( ~ spl2_293
| ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s79,s2158,s1149,s2773,s1596,s1237,s5187,s1591,s5186,s5175]) ).
cnf(s5189,plain,
( spl2_342
| spl2_351
| ~ spl2_43
| spl2_289
| ~ spl2_290
| ~ spl2_557 ),
inference(rat,[],[s2618,s3994,s2644,s2967,s1115,s1751]) ).
cnf(s5190,plain,
( ~ spl2_478
| ~ spl2_423
| spl2_331
| spl2_554
| spl2_32
| ~ spl2_442
| spl2_287 ),
inference(rat,[],[s3382,s2973,s4668,s4089,s3005]) ).
cnf(s5191,plain,
( spl2_478
| spl2_307
| spl2_406
| ~ spl2_308
| ~ spl2_19
| ~ spl2_290
| ~ spl2_557
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4343,s4354,s4256,s4181,s4665,s2968]) ).
cnf(s5192,plain,
( spl2_11
| ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4857,s3993,s2979,s2609,s4089,s5191,s3853,s4468,s1213,s12,s2896,s3051,s1799,s2982,s3994,s2618,s4418,s4667,s1078,s3915,s1663,s5189,s1272,s1665,s3664,s3024,s1891,s4666,s1015,s1677,s3244,s2190,s952,s1751,s4347,s4460,s224,s5181,s1546,s196,s79,s2064,s2762,s77,s1851,s4280,s1333,s1878,s10,s2046,s4209,s1652,s5186,s1162,s5188,s5175]) ).
cnf(s5193,plain,
( ~ spl2_478
| spl2_346
| ~ spl2_355
| spl2_32
| spl2_554
| spl2_289
| ~ spl2_88 ),
inference(rat,[],[s4857,s3993,s2979,s2609,s4089]) ).
cnf(s5194,plain,
( ~ spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5193,s2123,s1089,s1090,s3990,s3698,s4667,s1211,s1628,s3587,s1078,s138,s1891,s5139,s4104,s3400,s3326,s2597,s4385,s784,s779,s4135,s1099,s3145,s1596,s4144,s3165,s1512,s1121,s1888,s4938,s1104,s1149,s3144,s2147,s4769,s1138,s3731,s1547,s4807,s4720,s1546,s2773,s993,s2,s1237,s1257,s5192,s2760,s2759,s1162,s5188,s1652,s5186,s4209,s1317,s2046,s5175]) ).
cnf(s5195,plain,
( spl2_11
| spl2_20
| spl2_281
| ~ spl2_5
| ~ spl2_293
| spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17 ),
inference(rat,[],[s4199,s2594,s3326,s4247,s784,s1138,s4867,s2190,s5178,s1015,s79,s1891,s77,s1878,s10,s2070,s4623,s4157]) ).
cnf(s5196,plain,
( spl2_20
| spl2_281
| ~ spl2_5
| ~ spl2_293
| spl2_300
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17 ),
inference(rat,[],[s4807,s3279,s4182,s1349,s5195,s4527,s14,s2192,s2070,s4623]) ).
cnf(s5197,plain,
( spl2_11
| ~ spl2_293
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1138,s4247,s2190,s2594,s1015,s5124,s1891,s1851,s1878,s10,s2046,s2070,s4623,s5196,s1665,s1591,s2,s3319,s5194,s5175]) ).
cnf(s5198,plain,
( ~ spl2_293
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s79,s3780,s1149,s2773,s1596,s1237,s5197,s4623,s2,s1591,s3319,s5194,s5175]) ).
cnf(s5199,plain,
( spl2_277
| spl2_11
| ~ spl2_24
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1099,s2248,s4697,s4418,s1078,s5038,s4172,s4544,s2601,s1534,s2630,s88,s1446,s1381,s2673,s4156,s4200,s5181,s2046,s2192,s5194,s5198,s1878,s1333,s79,s77,s10]) ).
cnf(s5200,plain,
( spl2_11
| spl2_20
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4268,s3780,s1325,s4623,s88,s2,s4777,s1752,s1512,s5199,s79,s77,s10,s2046,s1122,s5194,s14,s5175]) ).
cnf(s5201,plain,
( spl2_20
| ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2070,s4807,s4203,s3279,s4182,s179,s1349,s5200,s4527,s14,s2192,s5194,s5175]) ).
cnf(s5202,plain,
( spl2_11
| ~ spl2_20
| spl2_293
| ~ spl2_316
| ~ spl2_28
| ~ spl2_274
| ~ spl2_295 ),
inference(rat,[],[s5181,s4639,s79,s1937,s77,s1851,s4594,s1878,s10,s2046,s2677]) ).
cnf(s5203,plain,
( ~ spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3539,s1115,s3990,s2736,s3698,s4667,s1628,s1078,s5139,s2597,s779,s1891,s1888,s3326,s2707,s3251,s784,s4135,s1099,s3145,s1121,s1512,s4938,s1104,s1149,s2147,s4769,s1138,s1547,s4807,s4797,s1546,s2070,s2773,s993,s4203,s1237,s179,s5202,s2760,s2677,s5201,s1162,s5198,s1122,s5194,s2046,s1317,s5175]) ).
cnf(s5204,plain,
( ~ spl2_300
| ~ spl2_290
| ~ spl2_272
| spl2_20
| spl2_291
| spl2_18
| ~ spl2_68
| ~ spl2_274
| ~ spl2_295 ),
inference(rat,[],[s4797,s1408,s4385,s88,s1665,s11,s1891,s1239,s1888,s3326,s3187,s3251,s2760,s4209,s1752,s4780,s224,s2683,s5175]) ).
cnf(s5205,plain,
( spl2_20
| spl2_28
| ~ spl2_274
| ~ spl2_17
| ~ spl2_295 ),
inference(rat,[],[s1665,s1891,s4385,s3326,s1888,s2760,s757,s2673,s88,s4166,s2127,s2069,s1403,s1138,s4247,s5204,s1609,s3261,s3319,s167,s4708,s4780,s1525,s335,s1286,s3,s1893,s1317,s750,s1546,s2689,s2993,s73,s5175]) ).
cnf(s5206,plain,
( ~ spl2_300
| ~ spl2_20
| ~ spl2_68
| ~ spl2_274
| ~ spl2_17 ),
inference(rat,[],[s2069,s2127,s1408,s2157,s85,s4807,s2177,s1652,s2762,s335,s750,s1546,s2689,s2993,s5175]) ).
cnf(s5207,plain,
( ~ spl2_274
| ~ spl2_17
| spl2_287
| ~ spl2_295 ),
inference(rat,[],[s1591,s1229,s1596,s246,s2234,s1237,s2597,s4703,s1851,s1992,s4172,s88,s4203,s1697,s4777,s4708,s1512,s3261,s784,s2683,s234,s224,s853,s196,s2064,s967,s1138,s4247,s5206,s5205,s1546,s2689,s335,s2993,s73,s5203,s5175]) ).
cnf(s5208,plain,
( ~ spl2_293
| ~ spl2_300
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4860,s3993,s1663,s3671,s3737,s1078,s3416,s4470,s4697,s4468,s3343,s4334,s2833,s2340,s4666,s5179,s2668,s4414,s4567,s3990,s4665,s1437,s784,s1783,s2425,s3994,s3683,s2659,s1627,s2553,s1593,s1610,s1888,s3934,s1785,s2229,s2172,s3151,s3221,s2049,s5104,s1205,s1048,s4585,s2601,s2,s4403,s4040,s1591,s3319,s979,s792,s790,s402,s3419,s14,s4157,s4209,s4294,s79,s77,s10,s2690,s1546,s2024,s1237,s11,s88,s884,s2046,s5207,s5175]) ).
cnf(s5209,plain,
( ~ spl2_277
| ~ spl2_47
| ~ spl2_291
| spl2_20
| ~ spl2_28
| ~ spl2_270
| ~ spl2_17 ),
inference(rat,[],[s4634,s4774,s4867,s5175]) ).
cnf(s5210,plain,
( spl2_342
| spl2_289
| ~ spl2_281
| ~ spl2_320
| ~ spl2_278
| spl2_293
| ~ spl2_557
| spl2_18
| spl2_287 ),
inference(rat,[],[s3698,s2471,s4667,s1889,s3994,s2144,s3539,s2967,s1115,s1162]) ).
cnf(s5211,plain,
( ~ spl2_355
| ~ spl2_342
| ~ spl2_19
| spl2_20
| ~ spl2_88
| ~ spl2_17 ),
inference(rat,[],[s1099,s3000,s4697,s4418]) ).
cnf(s5212,plain,
( spl2_308
| ~ spl2_300
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5179,s2866,s4142,s3989,s4667,s3136,s1627,s2123,s3994,s1785,s4622,s1437,s4544,s2,s1663,s1533,s1078,s5211,s5210,s2172,s1332,s2759,s1888,s4776,s3641,s4345,s1193,s1891,s3326,s784,s5209,s79,s77,s10,s1546,s2024,s1237,s11,s88,s884,s2046,s792,s790,s2760,s1162,s5208,s4209,s979,s5207,s5175]) ).
cnf(s5213,plain,
( ~ spl2_300
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3697,s1972,s3151,s2070,s3598,s4632,s4588,s4384,s1593,s5212,s1272,s1891,s3326,s784,s5209,s1697,s1888,s4776,s2760,s3641,s1162,s5208,s79,s1546,s77,s2024,s10,s1237,s11,s88,s884,s4209,s979,s792,s790,s5207,s2046,s5175]) ).
cnf(s5214,plain,
( ~ spl2_293
| spl2_300
| ~ spl2_24
| ~ spl2_28
| spl2_274
| ~ spl2_17
| ~ spl2_295 ),
inference(rat,[],[s2229,s2553,s1048,s4585,s2771,s4040,s1176,s851,s2594,s1848,s4247,s1138,s2190,s2070,s4623,s2,s3319,s792,s790,s2046,s5175]) ).
cnf(s5215,plain,
( ~ spl2_557
| spl2_11
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5179,s2866,s4142,s3989,s4667,s3136,s1799,s3994,s2123,s4626,s1437,s4544,s2,s1663,s1533,s1078,s5211,s5210,s3934,s2050,s3598,s4588,s1193,s1891,s3326,s1888,s2760,s3251,s2707,s979,s4527,s2759,s1162,s5214,s5213,s14,s2064,s88,s851,s784,s5209,s79,s77,s10,s1546,s2024,s792,s790,s2046,s5207,s5175]) ).
cnf(s5216,plain,
( ~ spl2_281
| spl2_351
| spl2_375
| spl2_357
| spl2_539
| spl2_492
| spl2_406
| spl2_331
| spl2_398
| ~ spl2_291
| ~ spl2_60
| ~ spl2_76
| ~ spl2_29
| spl2_293
| spl2_328
| ~ spl2_24
| ~ spl2_28
| spl2_274
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1419,s5059,s1173,s3463,s5057,s1138,s4422,s2190,s5040,s2070,s4775,s1972,s3724,s3697,s3934,s3151,s2050,s3598,s4588,s1193,s792,s790,s2064,s79,s86,s4164,s5175]) ).
cnf(s5217,plain,
( spl2_298
| spl2_289
| spl2_11
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1078,s4448,s5059,s4666,s1213,s3472,s3751,s4261,s952,s1138,s1321,s19,s4594,s2064,s4164,s2601,s4568,s1122,s5213,s3236,s4160,s1532,s14,s4544,s88,s851,s784,s5209,s79,s77,s10,s1546,s2024,s792,s790,s2046,s5207,s1534,s4156,s1381,s4200,s5215]) ).
cnf(s5218,plain,
( spl2_289
| spl2_11
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4776,s4172,s4176,s4385,s3288,s3857,s2070,s2234,s4632,s5217,s3454,s1891,s5216,s1534,s1381,s4544,s1532,s4156,s3236,s4568,s4160,s1122,s2601,s4200,s5215,s4777,s88,s851,s784,s5209,s79,s792,s790,s2046,s1546,s2024,s77,s10,s4594,s19,s4527,s979,s5214,s5213,s14,s5207]) ).
cnf(s5219,plain,
( spl2_11
| spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2794,s870,s4915,s5218,s2064,s77,s10]) ).
cnf(s5220,plain,
( spl2_20
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1848,s1138,s851,s2190,s88,s2070,s11,s4203,s1237,s179,s5219,s5213,s14,s792,s790,s5207,s2046,s5175]) ).
cnf(s5221,plain,
( ~ spl2_293
| ~ spl2_300
| spl2_11
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2144,s4667,s1115,s4183,s2153,s1173,s4246,s4708,s5073,s1609,s1620,s4345,s2759,s3994,s2018,s2553,s1888,s1610,s2151,s2229,s3221,s1598,s5124,s1048,s4585,s2601,s2,s4040,s1591,s3319,s979,s792,s790,s4594,s4280,s88,s1851,s2046,s4915,s3472,s4261,s1138,s4460,s1546,s2024,s2191,s4294,s5207,s5220,s2064,s77,s10,s5175]) ).
cnf(s5222,plain,
( ~ spl2_300
| spl2_11
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1891,s1272,s3326,s4384,s3701,s1888,s2151,s4776,s1751,s2760,s3641,s1162,s5221,s1138,s2191,s4294,s979,s2677,s1546,s2024,s5207,s224,s196,s77,s10,s5220]) ).
cnf(s5223,plain,
( ~ spl2_293
| spl2_11
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1138,s4247,s2190,s2594,s2070,s5124,s4623,s2,s3319,s792,s790,s5207,s10,s1851,s5220,s2046,s5222,s5175]) ).
cnf(s5224,plain,
( spl2_425
| ~ spl2_308
| spl2_293
| spl2_300
| ~ spl2_10
| ~ spl2_291
| ~ spl2_557
| ~ spl2_28
| spl2_18 ),
inference(rat,[],[s3151,s3598,s3697,s4588,s1593,s1891,s1888,s3326,s3251,s784,s2194,s3979,s1972,s4777,s2760,s1162,s5175]) ).
cnf(s5225,plain,
( spl2_11
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1272,s4384,s1891,s1888,s3326,s3251,s784,s3893,s4247,s1138,s2190,s2070,s5224,s1751,s2760,s1162,s5223,s5222,s224,s196,s88,s1546,s77,s1851,s2024,s10,s979,s792,s790,s5207,s2046,s2677,s5220]) ).
cnf(s5226,plain,
( ~ spl2_406
| ~ spl2_10
| spl2_308
| ~ spl2_11
| ~ spl2_20 ),
inference(rat,[],[s4234,s1598,s1596,s2601]) ).
cnf(s5227,plain,
( ~ spl2_277
| ~ spl2_62
| spl2_375
| ~ spl2_320
| spl2_289
| ~ spl2_278
| spl2_293
| spl2_330
| ~ spl2_300
| ~ spl2_442
| ~ spl2_5
| ~ spl2_557
| ~ spl2_88
| spl2_18
| ~ spl2_296
| spl2_287 ),
inference(rat,[],[s3051,s2982,s3582,s3994,s4666,s1625,s4448,s1630,s1078,s1663,s5210,s1891,s3709,s2552,s5159,s2018,s1162,s5175]) ).
cnf(s5228,plain,
( ~ spl2_300
| ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5193,s2123,s1089,s1090,s3990,s3729,s4667,s1630,s1078,s1663,s5210,s1891,s3326,s784,s5227,s1211,s1535,s3587,s2942,s1743,s4144,s3165,s890,s138,s1104,s1149,s3144,s3934,s1888,s196,s2057,s4776,s1391,s2760,s3641,s1162,s1591,s5226,s952,s1138,s4104,s88,s2191,s884,s4294,s790,s979,s5207,s2046,s2677,s5220,s2,s1257,s185,s2771,s1176,s940,s1237,s5225,s5175]) ).
cnf(s5229,plain,
( ~ spl2_367
| ~ spl2_5
| ~ spl2_20
| ~ spl2_28 ),
inference(rat,[],[s4626,s1598]) ).
cnf(s5230,plain,
( spl2_343
| ~ spl2_96
| spl2_359
| spl2_300
| ~ spl2_88
| ~ spl2_296
| spl2_287 ),
inference(rat,[],[s4667,s2736,s1630,s1113]) ).
cnf(s5232,plain,
( ~ spl2_279
| ~ spl2_331
| ~ spl2_405
| spl2_291
| spl2_299
| spl2_359
| spl2_375
| spl2_492
| spl2_541
| ~ spl2_593
| spl2_406
| spl2_289
| ~ spl2_603
| spl2_300
| ~ spl2_442
| ~ spl2_557
| ~ spl2_88
| spl2_274
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4857,s3993,s2979,s3737,s2945,s4666,s4668,s4448,s3382,s1078,s3002,s3715,s3657,s1889,s4470,s4944,s5058,s3495,s4703,s4776,s790,s979,s1591,s5175]) ).
cnf(s5233,plain,
( ~ spl2_343
| ~ spl2_278
| spl2_375
| spl2_306
| spl2_406
| spl2_289
| ~ spl2_13
| ~ spl2_557
| ~ spl2_296
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4445,s4666,s4821,s3734,s4205,s3994,s2967,s3603,s1663,s1162,s1591,s5175]) ).
cnf(s5234,plain,
( ~ spl2_278
| spl2_359
| spl2_375
| spl2_306
| spl2_406
| spl2_289
| spl2_300
| ~ spl2_13
| ~ spl2_557
| ~ spl2_88
| ~ spl2_296
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3994,s2967,s3734,s2736,s4666,s4667,s4448,s1630,s1078,s5233,s1162,s1591,s5175]) ).
cnf(s5235,plain,
( ~ spl2_28
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5232,s5159,s3920,s3893,s3251,s4172,s5234,s1211,s3587,s1162,s138,s1591,s3518,s1099,s2942,s4144,s3179,s3177,s1121,s1596,s4938,s1104,s3144,s4234,s1557,s5229,s4247,s952,s1138,s2190,s4451,s2070,s4203,s5228,s2771,s1176,s940,s2,s1237,s179,s1257,s5225,s2677,s5220,s2046,s792,s790,s5207,s5175]) ).
cnf(s5236,plain,
( ~ spl2_39
| ~ spl2_278
| ~ spl2_320
| ~ spl2_557
| ~ spl2_290
| ~ spl2_17 ),
inference(rat,[],[s2683,s2690,s3701,s3683,s2151,s1751,s1121,s1138,s224,s4530,s3205,s3187,s2760]) ).
cnf(s5237,plain,
( ~ spl2_300
| ~ spl2_47
| ~ spl2_290
| spl2_20
| ~ spl2_102
| ~ spl2_68
| spl2_274
| ~ spl2_17
| ~ spl2_295 ),
inference(rat,[],[s2176,s1891,s3992,s3697,s3682,s1972,s1996,s2068,s884,s88,s940,s11,s1239,s5236,s1697,s1888,s4776,s890,s3641,s4294,s4209,s979,s3319,s4780,s4915,s2794,s335,s5175]) ).
cnf(s5238,plain,
( ~ spl2_32
| ~ spl2_414
| ~ spl2_88
| ~ spl2_281
| spl2_330
| spl2_274 ),
inference(rat,[],[s3207,s784,s1856,s851]) ).
cnf(s5239,plain,
( spl2_308
| spl2_425
| ~ spl2_298
| ~ spl2_47
| ~ spl2_290
| spl2_289
| spl2_20
| ~ spl2_68
| spl2_274
| ~ spl2_295 ),
inference(rat,[],[s3187,s4200,s1239,s2601,s11,s88,s5238,s4464,s1996,s3697,s1891,s2176,s3992,s3682,s4385,s1697,s1888,s4776,s1391,s4176,s1176,s979,s1972,s4634,s5175]) ).
cnf(s5240,plain,
( ~ spl2_10
| ~ spl2_39
| ~ spl2_406
| spl2_425
| ~ spl2_298
| spl2_300 ),
inference(rat,[],[s3583,s4200,s2194,s2601,s3979,s5175]) ).
cnf(s5241,plain,
( spl2_20
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2155,s4667,s1173,s2736,s3000,s5189,s3662,s1960,s2966,s4774,s224,s1996,s2002,s3583,s3187,s1325,s2673,s88,s5240,s1239,s4702,s940,s5239,s4634,s2069,s1403,s1138,s4247,s5237,s79,s77,s1609,s4915,s167,s179,s4708,s2794,s1525,s979,s792,s790,s5207,s161,s335,s73,s5235,s5175]) ).
cnf(s5242,plain,
( spl2_32
| spl2_308
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3319,s1162,s2,s1391,s5124,s196,s10,s138,s85,s4104,s979,s5207,s335,s336,s73,s5235,s5241,s1176,s5175]) ).
cnf(s5243,plain,
( ~ spl2_60
| spl2_423
| ~ spl2_370
| ~ spl2_20
| ~ spl2_295 ),
inference(rat,[],[s2,s3319,s4622,s1162,s1598,s1391,s1557,s196,s5175]) ).
cnf(s5244,plain,
( spl2_308
| ~ spl2_300
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4385,s1888,s1596,s757,s10,s3171,s77,s1149,s5243,s784,s2010,s3752,s1996,s2068,s884,s5242,s1176,s979,s2164,s2191,s4294,s5207,s5241,s73,s5235]) ).
cnf(s5245,plain,
( ~ spl2_331
| spl2_312
| ~ spl2_446
| ~ spl2_308
| ~ spl2_319
| ~ spl2_20
| ~ spl2_102
| spl2_18 ),
inference(rat,[],[s3683,s1121,s1888,s1150,s3221,s1598,s1138,s2191]) ).
cnf(s5246,plain,
( ~ spl2_300
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s757,s4172,s1633,s1697,s784,s1960,s3682,s3752,s1996,s2068,s884,s88,s2601,s5245,s2058,s3992,s2064,s2762,s229,s4280,s1239,s1237,s4702,s940,s5244,s4915,s4261,s2164,s1138,s2191,s4294,s979,s5207,s1322,s73,s161,s3950,s5235,s5241,s5175]) ).
cnf(s5247,plain,
( spl2_308
| ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3458,s851,s1381,s1888,s1996,s1598,s1162,s4776,s5243,s1557,s1751,s5242,s4176,s1176,s979,s5207,s224,s196,s967,s1138,s4247,s5246,s335,s73,s5235,s5241,s5175]) ).
cnf(s5248,plain,
( ~ spl2_17
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4511,s3655,s4667,s2946,s2736,s5189,s3662,s1960,s2966,s1970,s1996,s2002,s3929,s1851,s1609,s3319,s88,s4708,s2,s5240,s4203,s4623,s2069,s1403,s3583,s10,s1239,s1237,s4702,s940,s5247,s224,s196,s967,s1138,s4247,s5246,s2677,s5241,s335,s3950,s73,s5235,s792,s790,s5207,s5175]) ).
cnf(s5249,plain,
( spl2_308
| ~ spl2_300
| ~ spl2_274
| spl2_20
| spl2_17
| ~ spl2_295 ),
inference(rat,[],[s3709,s2552,s1891,s4626,s1525,s1665,s2,s4708,s1591,s3319,s1609,s1162,s3231,s2771,s1751,s1281,s1176,s4421,s4209,s5175]) ).
cnf(s5250,plain,
( ~ spl2_293
| spl2_18
| spl2_341
| spl2_289
| ~ spl2_96
| ~ spl2_432
| ~ spl2_11
| ~ spl2_382
| ~ spl2_78
| ~ spl2_308
| ~ spl2_274
| ~ spl2_24
| spl2_17
| ~ spl2_295 ),
inference(rat,[],[s1593,s1888,s1540,s3492,s4913,s2550,s1891,s1596,s1804,s1591,s1349,s1449,s4164,s1574,s58,s5175]) ).
cnf(s5251,plain,
( ~ spl2_32
| ~ spl2_28
| ~ spl2_300
| ~ spl2_274
| spl2_20
| spl2_17
| ~ spl2_295 ),
inference(rat,[],[s1272,s4720,s1891,s3205,s3709,s4769,s2552,s1512,s2759,s5181,s1162,s5250,s1298,s4164,s2224,s4915,s296,s1574,s1363,s2597,s2116,s1325,s3553,s38,s2064,s71,s1321,s14,s5249,s2046,s1355,s4635,s225,s3187,s4209,s58,s5175]) ).
cnf(s5252,plain,
( ~ spl2_293
| spl2_11
| ~ spl2_28
| ~ spl2_300
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4468,s5034,s2833,s2683,s5179,s784,s4414,s1483,s1593,s1697,s4665,s1888,s2425,s3492,s2552,s3709,s1205,s1891,s2601,s4403,s1804,s1591,s4421,s5249,s4635,s1744,s225,s3187,s4209,s58,s88,s5251,s5248,s10,s1878,s402,s1895,s2046,s5175]) ).
cnf(s5253,plain,
( spl2_270
| spl2_468
| ~ spl2_281
| spl2_68
| ~ spl2_290
| spl2_289
| ~ spl2_43
| ~ spl2_557
| spl2_20
| spl2_80
| spl2_287 ),
inference(rat,[],[s3875,s2859,s2896,s5189,s3994,s12,s3664,s1198,s1209,s1213,s4666,s4468,s1677,s3244,s1321,s14]) ).
cnf(s5254,plain,
( spl2_331
| spl2_406
| spl2_68
| ~ spl2_330
| ~ spl2_277
| ~ spl2_290
| spl2_289
| spl2_18
| ~ spl2_19
| spl2_32
| ~ spl2_28
| ~ spl2_308
| ~ spl2_300
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1213,s4261,s4470,s1138,s2840,s2190,s5253,s2902,s3236,s4169,s4668,s2834,s2374,s3853,s2974,s1891,s5179,s3220,s3522,s5191,s2553,s4164,s3724,s38,s2064,s71,s1321,s14,s4421,s3288,s2046,s2759,s4530,s2760,s4209,s58,s5248,s2070,s4634,s5175]) ).
cnf(s5255,plain,
( spl2_406
| spl2_68
| ~ spl2_330
| ~ spl2_277
| ~ spl2_290
| spl2_289
| spl2_18
| ~ spl2_19
| spl2_32
| ~ spl2_28
| ~ spl2_308
| ~ spl2_300
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4090,s2718,s2979,s2902,s3448,s2840,s4470,s1213,s4261,s1138,s2190,s2069,s5253,s3853,s5179,s3220,s5191,s1272,s1891,s3709,s2552,s5254,s2064,s71,s1321,s4421,s2046,s225,s3187,s4209,s58,s2759,s2070,s3780,s4634,s38,s5248,s5175]) ).
cnf(s5256,plain,
( spl2_11
| ~ spl2_28
| ~ spl2_300
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3709,s2552,s1891,s2601,s1665,s5255,s4780,s4347,s1752,s2759,s5181,s1162,s5252,s1333,s1878,s10,s38,s4209,s5249,s88,s5251,s5248,s5175]) ).
cnf(s5257,plain,
( ~ spl2_278
| ~ spl2_11
| ~ spl2_397
| ~ spl2_308
| ~ spl2_557
| ~ spl2_274
| ~ spl2_39 ),
inference(rat,[],[s3583,s1138,s1483,s2161]) ).
cnf(s5258,plain,
( ~ spl2_28
| ~ spl2_300
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3731,s4720,s1162,s1272,s1591,s1891,s1596,s3709,s2550,s2552,s3492,s4172,s5257,s3934,s1449,s2049,s1283,s4164,s301,s2126,s1351,s1349,s5256,s1744,s225,s14,s3187,s4209,s58,s5249,s5248,s5175]) ).
cnf(s5259,plain,
( ~ spl2_300
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3326,s2760,s784,s1162,s1891,s1752,s3319,s1665,s1286,s4780,s3,s4702,s73,s1893,s5258,s5249,s4209,s5248,s1317,s5175]) ).
cnf(s5260,plain,
( spl2_11
| spl2_308
| ~ spl2_28
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1173,s1419,s5057,s5038,s1213,s4172,s4261,s2630,s1138,s1534,s4544,s1532,s1446,s3236,s4164,s2601,s1381,s4632,s847,s4156,s4160,s4200,s2070,s784,s3242,s2127,s1512,s1162,s4166,s4777,s4040,s88,s1325,s4594,s1333,s58,s2064,s71,s1321,s14,s2192,s5259,s2046,s1355,s1176,s1281,s4585,s2172,s38,s5248,s5175]) ).
cnf(s5261,plain,
( spl2_308
| ~ spl2_28
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2673,s3242,s88,s4631,s4166,s1891,s2127,s2176,s3780,s1546,s3279,s1349,s5260,s2029,s2172,s1281,s1176,s38,s5248,s4527,s5259,s14,s5175]) ).
cnf(s5262,plain,
( ~ spl2_293
| ~ spl2_272
| ~ spl2_10
| spl2_289
| spl2_18
| ~ spl2_316
| ~ spl2_274
| ~ spl2_295 ),
inference(rat,[],[s2551,s3492,s3642,s1891,s4172,s2601,s1665,s2607,s1591,s5175]) ).
cnf(s5263,plain,
( spl2_11
| spl2_18
| ~ spl2_562
| ~ spl2_28
| spl2_300
| ~ spl2_274
| ~ spl2_24
| ~ spl2_47
| ~ spl2_39
| ~ spl2_295 ),
inference(rat,[],[s1891,s4588,s3522,s3598,s2553,s3151,s3724,s4200,s2759,s5181,s1162,s5262,s3780,s784,s2127,s1512,s4166,s4777,s88,s1325,s1333,s1122,s4527,s2046,s5175]) ).
cnf(s5264,plain,
( ~ spl2_11
| ~ spl2_308
| ~ spl2_28
| spl2_300
| ~ spl2_274
| ~ spl2_24
| ~ spl2_47
| ~ spl2_39
| ~ spl2_295 ),
inference(rat,[],[s1752,s2,s3583,s4623,s4200,s3780,s4164,s3279,s2126,s4182,s1349,s2192,s4527,s5175]) ).
cnf(s5265,plain,
( ~ spl2_28
| ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5263,s1878,s5264,s3288,s5261,s58,s38,s5248,s14,s5259]) ).
cnf(s5266,plain,
( ~ spl2_19
| ~ spl2_88
| spl2_375
| spl2_406
| spl2_398
| spl2_357
| ~ spl2_374
| ~ spl2_6
| spl2_28
| ~ spl2_437
| ~ spl2_274
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2739,s4667,s1078,s2155,s4418,s1173,s5071,s38,s853,s1546,s4264,s2064,s71,s5248]) ).
cnf(s5267,plain,
( spl2_308
| ~ spl2_6
| spl2_28
| spl2_300
| ~ spl2_274
| ~ spl2_24
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5086,s3472,s4182,s2795,s1890,s10,s5266,s853,s1992,s1546,s2127,s4264,s4544,s2601,s4166,s4777,s88,s1532,s1446,s3236,s4568,s1381,s2673,s4156,s4160,s4200,s32,s3242,s1751,s1197,s1176,s38,s28,s2064,s71,s5248,s1122,s2192,s1286,s73,s3,s1893,s1317,s1162,s3319,s5175]) ).
cnf(s5268,plain,
( ~ spl2_274
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s88,s2673,s2601,s2760,s3642,s3326,s2551,s1891,s1665,s4702,s5267,s2759,s784,s1162,s1752,s3319,s1286,s4780,s3,s73,s1893,s5265,s5259,s1317,s14,s5175]) ).
cnf(s5269,plain,
( spl2_308
| spl2_32
| ~ spl2_28
| ~ spl2_43
| ~ spl2_47
| ~ spl2_295 ),
inference(rat,[],[s4040,s1162,s4585,s1751,s2172,s5175]) ).
cnf(s5270,plain,
( ~ spl2_293
| ~ spl2_19
| ~ spl2_28
| ~ spl2_300
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3416,s4468,s3330,s2833,s5179,s4414,s4665,s2425,s2550,s784,s1121,s4774,s3683,s1593,s1393,s1888,s3221,s1449,s2601,s1591,s979,s4294,s1213,s4261,s1138,s1321,s3756,s1430,s58,s2064,s71,s88,s2690,s1604,s78,s790,s5269,s884,s2046,s5268,s4421,s4209,s38,s5248,s5175]) ).
cnf(s5271,plain,
( spl2_293
| ~ spl2_308
| ~ spl2_446
| ~ spl2_300
| spl2_18
| spl2_274
| ~ spl2_39 ),
inference(rat,[],[s3683,s1121,s1888,s4530,s4776,s2760,s3641,s1162,s4209,s1138,s3756,s1430]) ).
cnf(s5272,plain,
( spl2_479
| ~ spl2_453
| ~ spl2_28
| ~ spl2_43
| ~ spl2_47
| ~ spl2_295 ),
inference(rat,[],[s4265,s3254,s2702,s2374,s5175]) ).
cnf(s5273,plain,
( ~ spl2_28
| ~ spl2_300
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3416,s4468,s3330,s2833,s4770,s5272,s4414,s784,s4665,s4774,s2425,s1593,s1393,s2550,s1888,s1596,s3221,s1449,s10,s2601,s5270,s1591,s5271,s5269,s2690,s88,s1604,s884,s78,s2046,s38,s790,s979,s4294,s4421,s4209,s1213,s4261,s1138,s1321,s3756,s1430,s58,s5268,s2064,s71,s5248,s5175]) ).
cnf(s5274,plain,
( ~ spl2_300
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1090,s2897,s3990,s2966,s2009,s3000,s4418,s1078,s1533,s5210,s1891,s3709,s1996,s2552,s2010,s4164,s4720,s10,s4384,s2690,s1596,s1888,s5271,s4702,s4530,s4776,s1751,s2760,s2759,s3641,s1609,s3319,s4708,s4780,s1525,s73,s5273,s4915,s4261,s1138,s3756,s4421,s1430,s4209,s58,s5248,s1321,s14,s979,s5268,s5175]) ).
cnf(s5275,plain,
( ~ spl2_557
| spl2_308
| ~ spl2_28
| spl2_17
| ~ spl2_295 ),
inference(rat,[],[s1449,s4622,s2550,s2,s1596,s1591,s3319,s1325,s1162,s5269,s3242,s4421,s58,s2046,s2172,s38,s2771,s1176,s5175]) ).
cnf(s5276,plain,
( spl2_298
| spl2_308
| ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1173,s1419,s5057,s5059,s1213,s3463,s4261,s4422,s1138,s2064,s71,s1321,s792,s1355,s4568,s1122,s5274,s3236,s4160,s1534,s1381,s5040,s4594,s1349,s5063,s4544,s1332,s1604,s78,s790,s1532,s4156,s4164,s14,s28,s5268,s2046,s1176,s38,s2601,s88,s2673,s4200,s5275,s5248]) ).
cnf(s5277,plain,
( spl2_308
| ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4385,s1888,s2070,s4776,s2190,s4176,s5276,s2601,s88,s2673,s4200,s5275,s5248,s979,s792,s790,s5268]) ).
cnf(s5278,plain,
( ~ spl2_293
| spl2_11
| ~ spl2_557
| ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3416,s4468,s3330,s2833,s5179,s4414,s4665,s2425,s2550,s784,s1121,s4774,s3683,s1393,s1888,s1138,s3495,s2190,s4451,s2070,s1449,s4623,s1205,s4585,s2601,s2,s4403,s4638,s1591,s3319,s979,s792,s4527,s5274,s14,s402,s3419,s2690,s1604,s78,s790,s5268,s5277,s10,s88,s1325,s58,s5248,s2046,s5175]) ).
cnf(s5279,plain,
( spl2_406
| ~ spl2_292
| ~ spl2_330
| ~ spl2_331
| spl2_299
| ~ spl2_603
| ~ spl2_290
| ~ spl2_19
| ~ spl2_557
| ~ spl2_308
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4668,s4159,s3382,s2702,s5191,s3002,s2340,s3220,s4470,s5058,s4421,s5248,s2759]) ).
cnf(s5280,plain,
( spl2_11
| ~ spl2_557
| ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4666,s4334,s4448,s4697,s1078,s2108,s5279,s1889,s4875,s4776,s4774,s3724,s1888,s784,s2553,s3683,s1213,s3326,s3522,s3454,s1121,s4261,s1891,s1138,s4588,s2190,s4530,s4451,s2070,s2760,s2759,s5224,s1162,s5278,s88,s1325,s10,s58,s2064,s71,s1321,s979,s792,s4527,s5274,s14,s2046,s2690,s1604,s78,s5248,s790,s5268,s3288,s5277,s5175]) ).
cnf(s5281,plain,
( ~ spl2_293
| ~ spl2_557
| ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3416,s4468,s3330,s2833,s784,s4770,s4774,s5272,s4414,s1393,s4665,s1888,s2425,s3492,s2550,s1596,s1591,s38,s979,s4527,s5274,s1604,s78,s790,s4421,s1206,s301,s1351,s225,s3187,s402,s2046,s3419,s5268,s1449,s4164,s2126,s1349,s5280,s5277,s14,s58,s5248,s5175]) ).
cnf(s5282,plain,
( ~ spl2_557
| ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3695,s1970,s1419,s3903,s1173,s2009,s2553,s1889,s3522,s4875,s4634,s4774,s784,s3326,s2759,s3454,s4722,s1162,s5281,s1891,s1272,s4164,s2126,s1349,s5280,s3201,s38,s14,s979,s1355,s1604,s78,s5248,s790,s5268,s5277,s5175]) ).
cnf(s5283,plain,
( ~ spl2_28
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3994,s4205,s3390,s2003,s4667,s1663,s4204,s1078,s4445,s4448,s4666,s3751,s4634,s4451,s3928,s3495,s4776,s2024,s1888,s80,s4544,s2601,s3683,s3411,s88,s3724,s1120,s1381,s2673,s4156,s4200,s5282,s3288,s5277,s2690,s1604,s78,s2046,s5248,s14,s790,s979,s5268,s1122,s5274,s5175]) ).
cnf(s5284,plain,
( ~ spl2_291
| ~ spl2_88
| ~ spl2_19
| spl2_308
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5093,s1733,s3472,s1173,s4261,s5076,s1138,s1403,s2069,s4451,s3682,s1332,s2690,s28,s2064,s71,s1321,s792,s790,s1197,s73,s1120,s4568,s1122,s3236,s4160,s1532,s14,s4777,s5274,s2601,s4200,s4544,s88,s2673,s4156,s3242,s1176,s1609,s4708,s1525,s5283,s979,s5268,s5248,s5175]) ).
cnf(s5285,plain,
( ~ spl2_425
| ~ spl2_88
| ~ spl2_19
| spl2_308
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5093,s1733,s3472,s1173,s4261,s5076,s1138,s1403,s4797,s4451,s28,s1321,s790,s1197,s73,s1120,s4568,s1122,s5274,s3236,s4160,s1532,s14,s2601,s4200,s4544,s88,s2673,s4156,s3242,s1176,s1609,s4708,s1525,s5283,s979,s5268,s853,s1546,s5284,s2064,s71,s5248,s5175]) ).
cnf(s5286,plain,
( ~ spl2_88
| ~ spl2_19
| spl2_308
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2632,s4666,s5076,s3751,s5239,s4634,s5285,s853,s1546,s5284,s38,s2064,s71,s790,s1122,s5274,s73,s1532,s14,s4544,s88,s2673,s4156,s3242,s1176,s1609,s4708,s1525,s5283,s979,s5268,s5248,s5175]) ).
cnf(s5287,plain,
( spl2_424
| spl2_375
| spl2_406
| ~ spl2_370
| ~ spl2_68
| spl2_18
| ~ spl2_47
| ~ spl2_295 ),
inference(rat,[],[s3877,s1887,s2247,s4205]) ).
cnf(s5288,plain,
( spl2_308
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5093,s1733,s4451,s1173,s4417,s5076,s1138,s5092,s3472,s2415,s2795,s5145,s1890,s10,s5286,s2002,s5287,s4544,s2601,s88,s1534,s1532,s3236,s4568,s1120,s1381,s2673,s4156,s4160,s4200,s32,s3242,s1751,s1197,s1176,s38,s28,s2064,s71,s5248,s790,s1122,s4527,s5274,s14,s73,s1609,s4708,s1525,s5283,s979,s5268,s5175]) ).
cnf(s5291,plain,
( spl2_375
| ~ spl2_340
| spl2_298
| ~ spl2_88
| ~ spl2_111
| ~ spl2_308
| ~ spl2_290
| spl2_28
| spl2_18
| ~ spl2_296
| ~ spl2_24
| spl2_287 ),
inference(rat,[],[s3868,s1887,s3051,s1620,s1532,s5076,s1661]) ).
cnf(s5292,plain,
( ~ spl2_375
| ~ spl2_331
| ~ spl2_10
| ~ spl2_290
| ~ spl2_6
| spl2_18
| ~ spl2_295 ),
inference(rat,[],[s1533,s2982,s2949,s1887,s2123,s3051,s1437,s4544]) ).
cnf(s5293,plain,
( ~ spl2_88
| ~ spl2_111
| spl2_11
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2069,s5240,s1403,s5291,s4418,s1078,s1661,s5292,s2601,s88,s1325,s58,s5248,s14,s792,s790,s5274,s4780,s73,s1609,s4708,s1525,s979,s5268,s4702,s5288,s5283,s10,s5175]) ).
cnf(s5294,plain,
( ~ spl2_557
| spl2_11
| spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1888,s3251,s4384,s4774,s3655,s2155,s4511,s1173,s4667,s3000,s2736,s5189,s3934,s2049,s3662,s4634,s2010,s3724,s1960,s2966,s1992,s1996,s2002,s5293,s235,s142,s234,s4421,s38,s5248,s14,s5274,s73,s1609,s4708,s1525,s5283,s979,s5268,s3288,s5288,s5175]) ).
cnf(s5295,plain,
( spl2_557
| ~ spl2_406 ),
inference(rat,[],[s88,s2601,s2673,s4200]) ).
cnf(s5296,plain,
( spl2_20
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1596,s4530,s5294,s2760,s5295,s4702,s5288,s1609,s4708,s1525,s5283,s979,s5268,s58,s5248,s5175]) ).
cnf(s5297,plain,
( ~ spl2_299
| ~ spl2_407
| spl2_68
| spl2_18
| spl2_22
| spl2_80 ),
inference(rat,[],[s1799,s2896,s1887,s12,s1198,s1213]) ).
cnf(s5298,plain,
( spl2_331
| ~ spl2_5
| ~ spl2_330
| ~ spl2_300
| ~ spl2_277
| spl2_406
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4090,s2718,s2979,s2902,s3448,s2840,s2069,s3244,s4468,s4470,s5297,s3853,s4667,s5190,s3220,s2828,s5191,s4588,s1272,s1891,s3522,s2553,s4622,s2064,s71,s225,s90,s228,s1355,s4461,s10,s1870,s402,s1895,s2046,s1678,s5275,s2759,s4530,s2760,s1162,s1591,s2677,s58,s2158,s38,s4634,s1372,s27,s5296,s5248,s5175]) ).
cnf(s5299,plain,
( spl2_270
| spl2_299
| ~ spl2_407
| ~ spl2_478
| ~ spl2_281
| ~ spl2_331
| ~ spl2_277
| ~ spl2_290
| spl2_289
| ~ spl2_274
| spl2_18
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2123,s5193,s1799,s1078,s1887,s1663,s2618,s5189,s3664,s3024,s3853,s4666,s4468,s1677,s3244,s4421,s2046,s5275,s2677,s228,s1355,s1372,s27,s2,s1752,s5296,s5248,s5175]) ).
cnf(s5300,plain,
( spl2_406
| ~ spl2_274
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4090,s2718,s2979,s2902,s3448,s2840,s2069,s5299,s4470,s5297,s4667,s3220,s2828,s5191,s4588,s1272,s1891,s3709,s2552,s5298,s1372,s27,s4634,s2,s2158,s4530,s4347,s1752,s1122,s2760,s2759,s5181,s5202,s1162,s1678,s1591,s58,s38,s2064,s71,s225,s90,s228,s1355,s4461,s5275,s2677,s5296,s5248,s10,s1870,s402,s1895,s2046,s1333,s5175]) ).
cnf(s5301,plain,
( ~ spl2_300
| ~ spl2_293
| ~ spl2_274
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3416,s4468,s3330,s2833,s5193,s1078,s5139,s3145,s1798,s4667,s4625,s4183,s5066,s4345,s784,s4414,s1429,s1620,s1483,s1593,s4665,s3994,s1888,s2425,s2837,s3492,s2147,s2552,s2190,s3709,s1652,s58,s5275,s2677,s1744,s225,s90,s4280,s1333,s2601,s1015,s1891,s1665,s5300,s1870,s1205,s4403,s88,s228,s1355,s402,s1895,s2046,s1375,s1372,s27,s2,s3319,s5296,s5248,s5175]) ).
cnf(s5302,plain,
( ~ spl2_293
| ~ spl2_274
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s784,s4639,s5262,s1122,s5301,s225,s90,s88,s228,s1355,s5248,s5296,s1870,s402,s1895,s2046,s1333]) ).
cnf(s5303,plain,
( ~ spl2_274
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3709,s2552,s1122,s2759,s5202,s1162,s5302,s1891,s2601,s1665,s5300,s88,s228,s1355,s5248,s5296,s1870,s402,s1895,s2046]) ).
cnf(s5304,plain,
( ~ spl2_407
| ~ spl2_340
| ~ spl2_294
| ~ spl2_292
| spl2_289
| spl2_313
| spl2_18
| ~ spl2_308 ),
inference(rat,[],[s1620,s3068,s3994,s1889,s3390,s2235]) ).
cnf(s5305,plain,
( ~ spl2_340
| ~ spl2_6
| ~ spl2_292
| spl2_298
| spl2_313
| ~ spl2_290
| ~ spl2_291
| ~ spl2_296
| spl2_18
| ~ spl2_19
| ~ spl2_308
| ~ spl2_88
| ~ spl2_557
| spl2_287 ),
inference(rat,[],[s4666,s4334,s4448,s4697,s1078,s1533,s2967,s1887,s1620,s2828,s4183,s4667,s5304,s4915,s4261,s4461,s1648,s1888,s3683,s1121,s1138,s2690,s792]) ).
cnf(s5306,plain,
( ~ spl2_6
| spl2_293
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1533,s1115,s1419,s2656,s1173,s5305,s28,s10,s4776,s1888,s3683,s1121,s1138,s2190,s2070,s5224,s5271,s88,s228,s1355,s792,s4530,s2760,s1162,s58,s5275,s2677,s5296,s2690,s1604,s790,s78,s5248,s1870,s402,s1895,s2046,s5303]) ).
cnf(s5307,plain,
( spl2_339
| ~ spl2_283
| ~ spl2_340
| ~ spl2_467
| spl2_289
| spl2_300
| spl2_406
| spl2_18
| ~ spl2_19
| ~ spl2_308
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3529,s5191,s2866,s2009,s3989,s1889,s3136,s3533,s2967,s1162,s1591,s2677,s5296,s5175]) ).
cnf(s5308,plain,
( spl2_406
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4447,s4666,s4258,s3751,s1446,s2123,s5307,s2966,s2736,s2967,s1887,s1620,s4183,s4667,s5304,s5279,s1372,s4622,s27,s2,s5306,s4470,s5058,s3495,s1648,s4776,s1888,s3683,s1213,s4915,s1121,s4261,s1138,s2190,s4451,s2070,s4530,s5224,s1122,s2760,s5271,s1162,s1591,s58,s2064,s71,s225,s90,s4461,s5275,s2677,s88,s228,s1355,s5296,s10,s1870,s402,s1895,s2046,s792,s2690,s1604,s790,s5303,s78,s5248,s5175]) ).
cnf(s5309,plain,
( ~ spl2_300
| ~ spl2_340
| ~ spl2_331
| ~ spl2_446
| spl2_274
| spl2_18
| ~ spl2_66
| spl2_32
| spl2_94
| ~ spl2_308
| ~ spl2_88
| ~ spl2_20
| spl2_287 ),
inference(rat,[],[s4258,s3654,s1630,s4511,s4667,s1446,s4183,s5073,s1620,s3994,s1610,s1121,s4915,s3683,s4261,s1888,s1138,s3221,s2191,s4294,s4461,s792,s790,s1598]) ).
cnf(s5310,plain,
( ~ spl2_478
| spl2_554
| ~ spl2_334
| spl2_300
| spl2_299
| spl2_32 ),
inference(rat,[],[s3448,s2979,s4470,s4089,s3529]) ).
cnf(s5311,plain,
( ~ spl2_474
| ~ spl2_301
| ~ spl2_396
| ~ spl2_409
| ~ spl2_470 ),
inference(rat,[],[s2431,s2497,s2490,s2502,s2503]) ).
cnf(s5312,plain,
( spl2_290
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2521,s2965,s2491,s4765,s2490,s4583,s4673,s5311,s3672,s4576,s4587,s2979,s2563,s4443,s3989,s4468,s3993,s4174,s3416,s2362,s3330,s2340,s5310,s2003,s4445,s4666,s3701,s4334,s3145,s2707,s3335,s2144,s3013,s1115,s4260,s1630,s1627,s4667,s4183,s4414,s2869,s1429,s1620,s4665,s4466,s3994,s2425,s2427,s1610,s2550,s1121,s2058,s4915,s3683,s1593,s4261,s1888,s1138,s3495,s2190,s2069,s4451,s2070,s4203,s5309,s1372,s27,s1205,s4585,s2,s4708,s4403,s4040,s3319,s1609,s1162,s2064,s71,s4421,s225,s90,s4461,s5275,s2677,s4280,s1870,s402,s1895,s2046,s792,s2690,s1604,s790,s5303,s78,s1598,s1449,s2601,s5308,s88,s228,s1355,s5296,s58,s5248,s5175]) ).
cnf(s5313,plain,
( ~ spl2_293
| spl2_300
| spl2_313
| ~ spl2_442
| ~ spl2_291
| spl2_274
| spl2_18
| spl2_32
| ~ spl2_308
| ~ spl2_295 ),
inference(rat,[],[s1593,s4588,s1888,s1891,s3495,s3522,s4451,s2553,s4623,s4585,s2,s4040,s3319,s5175]) ).
cnf(s5314,plain,
( ~ spl2_343
| ~ spl2_342
| spl2_289
| spl2_293
| ~ spl2_406
| ~ spl2_10 ),
inference(rat,[],[s2123,s1090,s4544,s3990,s1663,s2108,s2601,s5175]) ).
cnf(s5315,plain,
( ~ spl2_340
| spl2_11
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4334,s4666,s4697,s4447,s1078,s5314,s2966,s2736,s2967,s1887,s1620,s2828,s4183,s4667,s5304,s1648,s4776,s1888,s3683,s4915,s1121,s4261,s1138,s2190,s2070,s5224,s5313,s5309,s225,s90,s4461,s5275,s2677,s10,s4280,s1870,s402,s1895,s2046,s792,s2690,s1604,s790,s5303,s78,s2550,s2759,s5312,s1449,s2601,s5308,s88,s228,s1355,s5296,s58,s5248,s5175]) ).
cnf(s5316,plain,
( spl2_340
| ~ spl2_28
| ~ spl2_20
| spl2_17 ),
inference(rat,[],[s1533,s2,s1115,s1419,s27,s2656,s1173,s1372,s28,s1355,s5175]) ).
cnf(s5317,plain,
( ~ spl2_406
| ~ spl2_442
| ~ spl2_11
| ~ spl2_10
| ~ spl2_39 ),
inference(rat,[],[s2550,s1449,s1596,s2601]) ).
cnf(s5318,plain,
( ~ spl2_274
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1891,s1272,s3454,s2158,s4875,s4777,s4347,s1512,s5181,s1591,s5317,s3492,s1888,s5257,s58,s38,s1744,s88,s228,s1355,s1889,s2009,s2126,s1349,s5275,s2677,s1283,s301,s1351,s225,s90,s5315,s5316,s5296,s5248,s5175]) ).
cnf(s5319,plain,
( spl2_293
| ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2,s1533,s4622,s3891,s2123,s3334,s3582,s4334,s4666,s4445,s2324,s2828,s2553,s784,s2966,s4667,s3522,s3326,s4944,s4875,s2235,s1115,s5224,s2760,s2759,s3454,s1090,s3539,s5271,s1162,s58,s88,s228,s1355,s1889,s2009,s2690,s1891,s1272,s1604,s790,s5318,s78,s2126,s1349,s5275,s2677,s1283,s301,s1351,s225,s90,s5315,s5316,s5296,s5248,s5175]) ).
cnf(s5320,plain,
( ~ spl2_28
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3891,s3582,s3334,s3583,s4334,s4183,s4666,s4667,s4448,s1630,s1078,s2134,s1593,s1393,s1620,s1888,s3994,s3934,s3492,s1610,s2050,s5229,s5317,s1596,s2,s1591,s3319,s5319,s1604,s790,s5318,s1283,s301,s1351,s1349,s5315,s5316,s88,s228,s225,s5275,s78,s1355,s2046,s58,s2064,s71,s2677,s90,s5296,s5248,s5175]) ).
cnf(s5321,plain,
( spl2_308
| spl2_11
| ~ spl2_20
| spl2_17
| ~ spl2_295 ),
inference(rat,[],[s88,s2601,s1851,s1591,s1996,s1598,s1162,s5243,s3231,s1751,s1176,s71,s4421,s2677,s5175]) ).
cnf(s5322,plain,
( spl2_331
| ~ spl2_5
| ~ spl2_406
| spl2_11
| ~ spl2_20 ),
inference(rat,[],[s1851,s88,s1996,s2601,s4622]) ).
cnf(s5323,plain,
( ~ spl2_5
| ~ spl2_442
| ~ spl2_280
| ~ spl2_274
| ~ spl2_406
| spl2_94
| spl2_11
| ~ spl2_20 ),
inference(rat,[],[s1851,s1992,s4639,s4623,s1122,s784,s3709,s3642,s2552,s5322,s2551]) ).
cnf(s5324,plain,
( ~ spl2_274
| ~ spl2_406
| spl2_94
| spl2_11
| spl2_18
| ~ spl2_111
| ~ spl2_20
| ~ spl2_295 ),
inference(rat,[],[s3251,s1162,s1752,s3319,s2,s5323,s3492,s1888,s1891,s1697,s1665,s1642,s2677,s5175]) ).
cnf(s5325,plain,
( spl2_88
| ~ spl2_331
| ~ spl2_5
| spl2_274
| ~ spl2_308
| spl2_18
| ~ spl2_68
| ~ spl2_20 ),
inference(rat,[],[s1888,s4384,s3221,s2191,s4294,s4623,s2010,s1992,s1996]) ).
cnf(s5326,plain,
( spl2_340
| ~ spl2_88
| spl2_11
| ~ spl2_20
| ~ spl2_29 ),
inference(rat,[],[s1663,s4544,s1078,s1115,s3316,s4418,s2656,s1173,s10,s4280,s88,s1851,s5175]) ).
cnf(s5327,plain,
( ~ spl2_300
| ~ spl2_5
| spl2_11
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2690,s5309,s2158,s38,s4280,s1851,s5326,s5325,s5322,s5324,s4702,s2782,s1956,s1323,s2677,s235,s142,s36,s58,s5321,s73,s5320,s5296,s28,s5248,s5175]) ).
cnf(s5328,plain,
( ~ spl2_282
| spl2_298
| ~ spl2_340
| ~ spl2_88
| ~ spl2_296
| ~ spl2_308
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s5076,s1437,s1620,s5320]) ).
cnf(s5329,plain,
( ~ spl2_293
| spl2_11
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2247,s4544,s2897,s2123,s1612,s1887,s5328,s1889,s2009,s4384,s1888,s1403,s3495,s2069,s4451,s4623,s5327,s5326,s4585,s4040,s88,s1851,s5325,s5322,s2,s3319,s28,s73,s10,s792,s790,s5324,s4702,s5321,s2782,s1956,s1323,s2677,s235,s142,s5320,s36,s58,s5248,s5296,s5175]) ).
cnf(s5330,plain,
( ~ spl2_300
| spl2_293
| spl2_274
| ~ spl2_308
| spl2_18
| ~ spl2_20
| ~ spl2_47
| ~ spl2_39 ),
inference(rat,[],[s2690,s5271,s2158]) ).
cnf(s5331,plain,
( spl2_331
| spl2_11
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1697,s3697,s1888,s1891,s1648,s3454,s4944,s1889,s4772,s5189,s3662,s4915,s1972,s1960,s2966,s12,s1992,s1996,s2002,s1371,s1851,s88,s2601,s4421,s1322,s792,s790,s1162,s1246,s1229,s5330,s5329,s5324,s4702,s2782,s1956,s1323,s2677,s235,s142,s5320,s36,s5321,s5296,s38,s58,s5248,s5175]) ).
cnf(s5332,plain,
( spl2_343
| ~ spl2_88
| spl2_11
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3582,s3051,s3915,s784,s2982,s2967,s2684,s1887,s4334,s2618,s2828,s1535,s4666,s4667,s4697,s4448,s1630,s1078,s10,s790,s5324,s4702,s5321,s2782,s1956,s1323,s235,s142,s5320,s36,s1743,s4530,s2760,s1162,s5329,s2677,s58,s5326,s5296,s28,s5248,s5175]) ).
cnf(s5333,plain,
( ~ spl2_88
| spl2_11
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s2123,s1090,s4544,s1889,s2614,s2108,s5332,s88,s5326,s1851,s28,s4702,s5321,s5296,s5248,s5320,s5329,s5331]) ).
cnf(s5334,plain,
( ~ spl2_340
| ~ spl2_409
| ~ spl2_407
| spl2_351
| ~ spl2_415
| spl2_357
| spl2_423
| spl2_313
| ~ spl2_442
| ~ spl2_308
| spl2_18
| ~ spl2_295 ),
inference(rat,[],[s3697,s1697,s1891,s1888,s2243,s1787,s2549,s1887,s1889,s2618,s3068]) ).
cnf(s5335,plain,
( ~ spl2_407
| spl2_351
| ~ spl2_415
| spl2_307
| spl2_357
| spl2_348
| spl2_423
| spl2_313
| ~ spl2_442
| spl2_274
| ~ spl2_308
| spl2_18
| ~ spl2_20
| ~ spl2_29
| ~ spl2_295 ),
inference(rat,[],[s1787,s1888,s1887,s4384,s4773,s3655,s2656,s5334,s1627,s4511,s792,s790]) ).
cnf(s5336,plain,
( spl2_11
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3068,s1889,s2656,s3539,s1115,s2729,s4667,s5335,s3662,s1972,s2010,s1960,s2984,s2025,s2966,s1992,s1996,s2002,s5333,s5330,s4530,s2760,s2759,s1162,s5329,s5324,s4702,s5321,s2782,s1956,s1323,s38,s28,s2677,s73,s235,s142,s5320,s36,s5296,s58,s5248,s5175]) ).
cnf(s5337,plain,
( spl2_308
| ~ spl2_11
| spl2_18
| ~ spl2_68
| ~ spl2_20
| spl2_17
| ~ spl2_295 ),
inference(rat,[],[s3067,s1534,s1113,s1414,s2108,s1889,s2597,s4952,s88,s1596,s2601,s1381,s1591,s1996,s1598,s1162,s5243,s3231,s1751,s1176,s71,s38,s4421,s2677,s5175]) ).
cnf(s5338,plain,
( ~ spl2_398
| ~ spl2_270
| ~ spl2_313
| ~ spl2_11
| spl2_18
| ~ spl2_295 ),
inference(rat,[],[s1648,s2234,s1888,s4769,s1697]) ).
cnf(s5339,plain,
( spl2_331
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3495,s4451,s1888,s4203,s3458,s884,s851,s1642,s5338,s1015,s1891,s88,s4961,s2601,s1381,s71,s235,s142,s36,s1996,s2010,s2126,s1349,s1162,s4708,s1609,s2760,s4530,s1596,s4702,s5337,s73,s5320,s5336,s58,s5248,s2677,s5296,s5175]) ).
cnf(s5340,plain,
( ~ spl2_300
| spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s3416,s4468,s3330,s2833,s3701,s5193,s1623,s1115,s3891,s3834,s2656,s3334,s5328,s4334,s2191,s884,s2158,s4294,s38,s28,s1213,s2795,s940,s2064,s71,s1593,s4414,s4665,s2425,s1162,s2760,s2677,s1630,s4666,s4448,s790,s1642,s1697,s1888,s3492,s2550,s1449,s1996,s2010,s2126,s1349,s1078,s1661,s1437,s3994,s1611,s5339,s4530,s1596,s4702,s5337,s73,s5145,s5336,s235,s142,s5320,s36,s5296,s58,s5248,s5175]) ).
cnf(s5341,plain,
( spl2_18
| ~ spl2_295
| spl2_287 ),
inference(rat,[],[s4470,s3448,s3737,s2979,s3993,s4351,s3179,s2362,s2702,s3330,s2340,s5310,s1968,s2597,s2069,s3751,s2729,s5230,s4203,s1122,s5340,s4666,s4667,s4448,s1630,s792,s790,s1642,s1078,s4414,s4567,s1697,s1393,s1661,s4665,s1888,s1429,s1437,s2425,s3492,s3994,s2550,s1611,s1449,s5339,s4708,s1609,s1162,s2760,s1996,s4530,s1213,s2010,s1596,s2795,s2126,s4702,s940,s5337,s5145,s1349,s5336,s2064,s71,s4421,s2677,s73,s235,s142,s5320,s36,s5296,s58,s5248,s5175]) ).
cnf(s5342,plain,
( ~ spl2_295
| spl2_287 ),
inference(rat,[],[s1317,s3,s979,s1286,s5341,s73,s1893,s5320]) ).
cnf(s5343,plain,
( spl2_342
| ~ spl2_279
| ~ spl2_557
| spl2_307
| ~ spl2_39
| ~ spl2_303
| ~ spl2_274
| ~ spl2_308
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1891,s1407,s1015,s4512,s1627,s4667,s2733,s3531,s4666,s2003,s4516,s1078,s3380,s1787,s3174,s1887,s4405,s3335,s3013,s1115,s1137,s5342]) ).
cnf(s5344,plain,
( ~ spl2_342
| ~ spl2_340
| ~ spl2_303
| ~ spl2_423
| ~ spl2_293
| spl2_20
| spl2_18 ),
inference(rat,[],[s1612,s1887,s2897,s1889,s1429,s2966,s1406,s3000,s5175]) ).
cnf(s5345,plain,
( ~ spl2_278
| ~ spl2_557
| spl2_307
| spl2_32
| ~ spl2_39
| ~ spl2_293
| ~ spl2_274
| ~ spl2_308 ),
inference(rat,[],[s3583,s4347,s4384,s1393]) ).
cnf(s5346,plain,
( ~ spl2_342
| spl2_32
| ~ spl2_303
| ~ spl2_423
| ~ spl2_293
| ~ spl2_28
| spl2_20
| ~ spl2_47
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s4260,s2966,s2653,s3903,s1889,s5344,s1406,s2046,s5175]) ).
cnf(s5347,plain,
( ~ spl2_557
| spl2_307
| spl2_342
| spl2_32
| ~ spl2_39
| ~ spl2_303
| ~ spl2_293
| ~ spl2_274
| ~ spl2_308
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1888,s5343,s5345]) ).
cnf(s5348,plain,
( spl2_300
| ~ spl2_10
| ~ spl2_293
| ~ spl2_274
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s4098,s4453,s1888,s2127,s1512,s2607,s4166,s4777,s1122,s5175]) ).
cnf(s5349,plain,
( ~ spl2_293
| ~ spl2_274
| spl2_406
| ~ spl2_28
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2549,s1889,s2244,s2009,s4164,s2644,s5347,s4421,s4209,s5348,s1115,s5346,s88,s1325,s58,s1048,s4638,s3061,s2698,s79,s77,s14,s4165,s10,s2625,s2046,s1137,s5342,s5175]) ).
cnf(s5350,plain,
( spl2_342
| spl2_17
| ~ spl2_557
| ~ spl2_290
| spl2_289
| ~ spl2_400 ),
inference(rat,[],[s3335,s1535,s3013,s5189,s1115,s58,s4421]) ).
cnf(s5351,plain,
( spl2_478
| ~ spl2_39
| spl2_307
| ~ spl2_557
| ~ spl2_290
| ~ spl2_308
| spl2_287 ),
inference(rat,[],[s4256,s4665,s3330,s2968]) ).
cnf(s5352,plain,
( ~ spl2_279
| ~ spl2_554
| ~ spl2_431
| ~ spl2_43
| ~ spl2_557
| spl2_32
| ~ spl2_290
| spl2_289
| ~ spl2_274
| spl2_20
| spl2_80
| spl2_18
| spl2_287 ),
inference(rat,[],[s5253,s1891,s2069,s3522,s4634,s4780,s3853,s4347,s1752,s4098,s3251,s1137,s5342,s5175]) ).
cnf(s5353,plain,
( spl2_331
| ~ spl2_300
| spl2_32
| ~ spl2_290
| spl2_289
| ~ spl2_274
| spl2_313
| ~ spl2_88
| spl2_20
| ~ spl2_19
| spl2_18
| spl2_287 ),
inference(rat,[],[s3522,s1891,s4634,s4588,s4347,s4720,s3583,s3205,s4384,s1593,s1888,s5352,s5179,s5351,s4455,s4421,s58,s3724,s4164,s3857,s2064,s77,s14,s3288,s4165,s1137,s5342,s4209,s5175]) ).
cnf(s5354,plain,
( spl2_342
| ~ spl2_542
| ~ spl2_482
| spl2_351
| spl2_541
| ~ spl2_346
| ~ spl2_557
| ~ spl2_290
| spl2_289
| ~ spl2_308
| ~ spl2_28
| ~ spl2_47 ),
inference(rat,[],[s4587,s3903,s3993,s2618,s2362,s3994,s1968,s2967]) ).
cnf(s5355,plain,
( ~ spl2_279
| spl2_299
| ~ spl2_17
| ~ spl2_281
| ~ spl2_382
| ~ spl2_300
| spl2_32
| ~ spl2_290
| spl2_289
| ~ spl2_274
| ~ spl2_28
| spl2_20
| ~ spl2_19
| spl2_287 ),
inference(rat,[],[s1078,s3397,s5211,s5354,s2979,s4382,s4256,s4665,s2968,s2340,s5179,s3664,s3853,s2852,s4666,s4468,s1677,s3244,s5104,s5209,s1272,s2,s4720,s1752,s3731,s3251,s79,s77,s14,s4165,s2046,s1137,s5342,s4209,s4157,s5175]) ).
cnf(s5356,plain,
( spl2_299
| ~ spl2_17
| ~ spl2_300
| spl2_293
| spl2_289
| ~ spl2_274
| spl2_313
| ~ spl2_28
| spl2_20
| ~ spl2_19
| spl2_18
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5179,s2866,s4142,s3989,s4667,s3135,s4512,s1785,s4666,s4544,s3397,s1663,s1078,s4347,s5211,s4634,s5210,s3780,s4720,s4588,s1593,s1888,s5355,s2698,s79,s77,s4165,s1137,s88,s4635,s2782,s4209,s1956,s930,s1891,s3709,s4307,s5353,s931,s1162,s2046,s5342,s5175]) ).
cnf(s5357,plain,
( ~ spl2_17
| ~ spl2_300
| spl2_293
| spl2_289
| ~ spl2_274
| spl2_313
| ~ spl2_28
| spl2_20
| ~ spl2_19
| spl2_18
| spl2_287 ),
inference(rat,[],[s2966,s4260,s3903,s1078,s2859,s5211,s1209,s1189,s5356,s2064,s79,s77,s14,s931,s2046,s5342,s5175]) ).
cnf(s5358,plain,
( ~ spl2_279
| ~ spl2_43
| ~ spl2_39
| ~ spl2_281
| ~ spl2_300
| spl2_32
| ~ spl2_290
| spl2_289
| ~ spl2_274
| ~ spl2_88
| spl2_20
| ~ spl2_19
| spl2_287 ),
inference(rat,[],[s3853,s5179,s5253,s5351,s2069,s1272,s4634,s4780,s4720,s4347,s1752,s3731,s4098,s3251,s2064,s77,s4165,s1137,s5342,s4209,s5175]) ).
cnf(s5359,plain,
( ~ spl2_300
| spl2_293
| spl2_289
| ~ spl2_274
| spl2_313
| ~ spl2_28
| spl2_20
| ~ spl2_19
| spl2_18
| spl2_287 ),
inference(rat,[],[s4347,s784,s4634,s2683,s3780,s4588,s1593,s1888,s5358,s4421,s58,s5357,s1891,s3709,s4307,s5353,s4209,s79,s77,s4165,s1137,s1162,s931,s2046,s5342,s5175]) ).
cnf(s5360,plain,
( ~ spl2_274
| spl2_406
| ~ spl2_28
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3683,s1121,s1888,s1138,s4098,s2690,s4632,s4453,s3780,s2070,s2127,s1512,s4166,s4777,s5359,s88,s931,s5349,s1333,s79,s77,s4165,s10,s2625,s2046,s1137,s5342,s5175]) ).
cnf(s5361,plain,
( spl2_274
| ~ spl2_31
| spl2_313
| ~ spl2_308
| ~ spl2_88
| spl2_18
| spl2_295 ),
inference(rat,[],[s1593,s4588,s1888,s1891,s1604,s1650,s1567,s790,s1137]) ).
cnf(s5362,plain,
( ~ spl2_303
| ~ spl2_280
| ~ spl2_406
| ~ spl2_274
| ~ spl2_88
| spl2_11
| spl2_295 ),
inference(rat,[],[s4307,s3709,s2601,s4166,s88,s2127,s1325,s3522,s58,s4455,s1048,s4585,s2625,s1137,s5175]) ).
cnf(s5363,plain,
( ~ spl2_28
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s784,s1512,s3326,s4777,s88,s2760,s5359,s931,s1162,s4638,s5362,s1891,s1665,s5295,s5360,s1333,s5361,s1509,s2625,s4165,s86,s2046,s1137,s5342,s77,s10,s5175]) ).
cnf(s5364,plain,
( ~ spl2_293
| ~ spl2_274
| ~ spl2_88
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1078,s4418,s1533,s5344,s5343,s4164,s3642,s1888,s4253,s3683,s1891,s1121,s4588,s1138,s3992,s2683,s3583,s3169,s4421,s4209,s5348,s88,s1325,s58,s1048,s4585,s4638,s14,s2625,s1752,s4780,s4984,s847,s3261,s4708,s1525,s73,s5363,s4165,s10,s1333,s1137,s5342,s5175]) ).
cnf(s5365,plain,
( ~ spl2_557
| ~ spl2_39
| ~ spl2_290
| spl2_328
| ~ spl2_272
| spl2_313
| spl2_18 ),
inference(rat,[],[s4588,s1891,s2683,s3326,s224,s2760,s3187]) ).
cnf(s5366,plain,
( ~ spl2_274
| ~ spl2_88
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s4384,s1888,s1403,s4098,s4797,s2127,s4264,s4164,s4166,s4777,s4200,s4209,s5365,s1239,s11,s88,s931,s1162,s5364,s4984,s847,s3261,s1333,s14,s73,s4708,s1525,s5363,s4165,s10,s2625,s1137,s5342,s5175]) ).
cnf(s5367,plain,
( ~ spl2_293
| ~ spl2_281
| ~ spl2_296
| spl2_313
| ~ spl2_308
| ~ spl2_88
| spl2_28
| spl2_20
| ~ spl2_47
| spl2_18
| spl2_287 ),
inference(rat,[],[s2632,s2614,s4666,s5091,s3751,s1534,s4544,s1381,s1122,s4156,s4200,s4209,s88,s3169,s1549,s784,s58,s1407,s1048,s1393,s4638,s1137,s1546,s4588,s1593,s1888,s1650,s5342]) ).
cnf(s5368,plain,
( spl2_343
| ~ spl2_296
| ~ spl2_400
| ~ spl2_88
| ~ spl2_19
| spl2_18
| spl2_287 ),
inference(rat,[],[s1535,s4697,s5091,s1078,s1137,s1888,s1650,s5342]) ).
cnf(s5369,plain,
( ~ spl2_300
| spl2_342
| spl2_293
| spl2_291
| ~ spl2_278
| ~ spl2_281
| spl2_18
| spl2_287 ),
inference(rat,[],[s5210,s4720,s4209,s854]) ).
cnf(s5370,plain,
( ~ spl2_557
| spl2_342
| spl2_341
| ~ spl2_343
| ~ spl2_39
| ~ spl2_290
| spl2_289
| ~ spl2_400
| ~ spl2_68 ),
inference(rat,[],[s1161,s1275,s4456,s5350,s3187,s1115,s5175]) ).
cnf(s5371,plain,
( ~ spl2_88
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s4667,s4204,s2155,s2069,s1173,s1403,s5069,s4384,s4544,s1532,s3724,s4164,s4156,s4200,s5370,s1533,s2221,s5368,s1239,s11,s88,s931,s1162,s5367,s854,s4588,s1593,s1888,s1891,s1650,s792,s1567,s790,s5366,s1743,s3288,s2625,s4165,s1137,s5342,s79,s77,s10,s14,s4780,s73,s5363,s5175]) ).
cnf(s5372,plain,
( spl2_342
| spl2_298
| ~ spl2_43
| ~ spl2_32
| ~ spl2_272
| spl2_357
| spl2_287 ),
inference(rat,[],[s4183,s4667,s2644,s2150,s1115]) ).
cnf(s5373,plain,
( ~ spl2_406
| spl2_308
| ~ spl2_274
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1889,s2652,s4772,s3000,s5372,s3583,s4421,s88,s4254,s2689,s2601,s1546,s3642,s2176,s4253,s1891,s1665,s5295,s5342,s19,s79,s77,s10,s2966,s2984,s2002,s5371,s2993,s1752,s4780,s73,s3261,s4708,s1525,s5363,s1176,s5175]) ).
cnf(s5374,plain,
( spl2_406
| ~ spl2_433
| ~ spl2_272
| spl2_277
| spl2_88
| spl2_18 ),
inference(rat,[],[s4166,s4209,s88,s3251,s757,s1888,s1162,s3728,s3061,s1996,s1972,s1992,s5175]) ).
cnf(s5375,plain,
( ~ spl2_274
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3642,s3724,s4253,s3288,s1891,s5373,s1665,s5374,s2127,s3261,s1752,s5342,s14,s4780,s73,s4708,s1525,s5363,s1996,s1992,s5371,s5175]) ).
cnf(s5376,plain,
( ~ spl2_555
| ~ spl2_281
| spl2_298
| ~ spl2_370
| spl2_463
| spl2_357
| ~ spl2_29
| spl2_18 ),
inference(rat,[],[s1889,s2652,s3698,s4183]) ).
cnf(s5377,plain,
( ~ spl2_407
| ~ spl2_320
| ~ spl2_302
| ~ spl2_292
| spl2_289
| ~ spl2_300
| ~ spl2_293
| ~ spl2_270 ),
inference(rat,[],[s3994,s1328,s1785,s3390,s2144,s1627]) ).
cnf(s5378,plain,
( ~ spl2_478
| ~ spl2_89
| spl2_502
| spl2_331
| ~ spl2_370
| spl2_491
| ~ spl2_29
| spl2_287 ),
inference(rat,[],[s2638,s4668,s2423,s3005,s2974,s5175]) ).
cnf(s5379,plain,
( spl2_39
| ~ spl2_279
| spl2_289
| ~ spl2_300
| ~ spl2_32
| ~ spl2_293
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3737,s4470,s3993,s3343,s2368,s2340,s5378,s4666,s4516,s1115,s1785,s3067,s4184,s1889,s3994,s2652,s3877,s4183,s4667,s5377,s3752,s890,s2019,s1275,s3586,s58,s19,s79,s2984,s4585,s3662,s1960,s2002,s2557,s1972,s1992,s2745,s792,s790,s1176,s1197,s73,s5363,s5295,s3061,s1996,s5371,s1381,s3221,s4294,s2415,s4261,s1138,s1321,s4176,s4776,s5375,s2064,s77,s10,s5175]) ).
cnf(s5380,plain,
( ~ spl2_281
| ~ spl2_302
| spl2_298
| ~ spl2_292
| spl2_289
| ~ spl2_300
| ~ spl2_293
| ~ spl2_370
| ~ spl2_270
| spl2_306
| spl2_463
| spl2_357
| ~ spl2_29
| spl2_18
| spl2_287 ),
inference(rat,[],[s5377,s4667,s4345,s5376,s3173]) ).
cnf(s5381,plain,
( ~ spl2_279
| spl2_289
| ~ spl2_300
| ~ spl2_32
| ~ spl2_293
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1889,s2652,s4772,s3000,s5372,s784,s4774,s1546,s2176,s1891,s5380,s224,s3187,s5379,s1381,s4176,s3221,s4776,s19,s79,s77,s10,s2966,s2984,s73,s5363,s4634,s2469,s2002,s3393,s1972,s1992,s792,s790,s1176,s5295,s3061,s1996,s5371,s4294,s5375,s5175]) ).
cnf(s5382,plain,
( spl2_342
| ~ spl2_479
| spl2_478
| ~ spl2_272
| ~ spl2_278
| spl2_289
| ~ spl2_313
| ~ spl2_32
| spl2_308
| spl2_351
| spl2_539
| spl2_18
| spl2_287 ),
inference(rat,[],[s3545,s2122,s1889,s2639,s3729,s3993,s4667,s2368,s2150,s1115]) ).
cnf(s5383,plain,
( ~ spl2_342
| spl2_331
| ~ spl2_370
| spl2_359
| spl2_20
| ~ spl2_29
| spl2_18 ),
inference(rat,[],[s1889,s2652,s4772,s3000]) ).
cnf(s5384,plain,
( ~ spl2_281
| spl2_331
| ~ spl2_320
| spl2_277
| ~ spl2_278
| ~ spl2_313
| ~ spl2_32
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s5382,s5085,s5378,s3472,s2415,s3586,s5122,s4632,s3205,s5376,s3239,s2984,s3662,s1960,s1996,s2557,s2745,s2469,s1972,s1992,s1197,s73,s5363,s3934,s2050,s2064,s77,s10,s4667,s2150,s5383,s1176,s2966,s2002,s5371,s19,s784,s5175]) ).
cnf(s5385,plain,
( spl2_331
| ~ spl2_320
| spl2_277
| ~ spl2_278
| ~ spl2_313
| ~ spl2_32
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1499,s1891,s4183,s5384,s2652,s1889,s3729,s4667,s2150,s5383,s19,s2966,s2984,s73,s5363,s3662,s1960,s1996,s2002,s5371,s1176,s2559,s5342,s784,s5175]) ).
cnf(s5386,plain,
( spl2_342
| ~ spl2_331
| ~ spl2_272
| ~ spl2_278
| ~ spl2_32
| spl2_351
| spl2_18
| spl2_287 ),
inference(rat,[],[s1889,s3729,s2549,s4667,s2244,s2150,s2698,s1137,s5342]) ).
cnf(s5387,plain,
( ~ spl2_342
| ~ spl2_293
| ~ spl2_370
| spl2_351
| spl2_359
| spl2_20
| ~ spl2_29
| spl2_18 ),
inference(rat,[],[s1889,s2652,s3067,s3000]) ).
cnf(s5388,plain,
( ~ spl2_313
| ~ spl2_300
| ~ spl2_32
| ~ spl2_293
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s5385,s5386,s4345,s784,s3752,s2020,s1888,s5381,s3934,s2050,s2064,s77,s10,s1992,s5387,s1176,s3662,s1960,s1996,s2966,s2002,s5371,s19,s5175]) ).
cnf(s5389,plain,
( ~ spl2_300
| ~ spl2_32
| ~ spl2_293
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s4183,s3756,s2644,s1430,s4421,s58,s3171,s5388,s4667,s4511,s3654,s2984,s2010,s73,s5363,s5375,s5295,s3061,s1115,s5387,s1176,s3662,s1960,s1996,s2966,s2002,s5371,s19,s5175]) ).
cnf(s5390,plain,
( ~ spl2_32
| ~ spl2_293
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2176,s1546,s1891,s4774,s5006,s784,s5372,s4421,s58,s4915,s4247,s4261,s1138,s4176,s4776,s1888,s3452,s5389,s79,s77,s10,s1321,s335,s2984,s73,s5363,s4585,s4634,s1992,s5375,s5295,s3061,s5387,s1176,s3662,s1960,s1996,s2966,s2002,s5371,s19,s5175]) ).
cnf(s5391,plain,
( ~ spl2_293
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3068,s2644,s1889,s224,s2549,s4530,s3187,s2244,s4199,s1239,s2601,s11,s88,s5390,s1115,s5387,s5295,s3061,s2698,s1137,s5342,s19,s2966,s2984,s73,s5363,s3662,s1960,s1996,s2002,s5371,s1176,s5175]) ).
cnf(s5392,plain,
( ~ spl2_300
| ~ spl2_285
| spl2_342
| spl2_293
| spl2_274
| spl2_351
| spl2_18
| spl2_287 ),
inference(rat,[],[s3729,s4667,s1888,s4511,s4776,s3654,s3641]) ).
cnf(s5393,plain,
( spl2_342
| ~ spl2_366
| spl2_344
| ~ spl2_32
| spl2_293
| spl2_299
| ~ spl2_370
| spl2_274
| spl2_463
| spl2_492
| spl2_351
| spl2_539
| spl2_554
| spl2_15
| spl2_20
| ~ spl2_29
| spl2_18
| spl2_287 ),
inference(rat,[],[s4581,s3993,s1786,s2368,s1627,s4770,s4667,s5085,s3698,s1891,s1499,s2190,s1138,s4247,s5392,s1889,s3539,s1115,s792,s790,s4915,s2794,s3242,s2673,s1162]) ).
cnf(s5394,plain,
( ~ spl2_478
| spl2_346
| ~ spl2_361
| spl2_502
| spl2_289
| ~ spl2_89
| spl2_491 ),
inference(rat,[],[s3398,s2950,s3993,s2423,s2609,s2974,s5175]) ).
cnf(s5395,plain,
( ~ spl2_300
| ~ spl2_285
| ~ spl2_361
| ~ spl2_369
| ~ spl2_331
| spl2_502
| spl2_289
| ~ spl2_89
| ~ spl2_557
| spl2_299
| ~ spl2_270
| spl2_463
| spl2_492
| spl2_330
| spl2_491
| spl2_20
| ~ spl2_47
| spl2_18
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5394,s4774,s1785,s2155,s1627,s4667,s3698,s1891,s3709,s2698,s1137,s4307,s5342]) ).
cnf(s5396,plain,
( ~ spl2_342
| ~ spl2_557
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2190,s1737,s1138,s4667,s4247,s2736,s5395,s1889,s1733,s2652,s1173,s5383,s3000,s19,s79,s2966,s4634,s2557,s2745,s2469,s1972,s1992,s2002,s5371,s792,s790,s5375,s1197,s3950,s4915,s2415,s2794,s3242,s1176,s1162,s5391,s335,s73,s5363,s2064,s77,s10,s5175]) ).
cnf(s5397,plain,
( ~ spl2_32
| spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3729,s4667,s1888,s1737,s4776,s2190,s4176,s1138,s4247,s1173,s5392,s3068,s1889,s2559,s3539,s5393,s1115,s5396,s3472,s2794,s3242,s2673,s5342,s19,s2064,s77,s10,s335,s2974,s3239,s2984,s3662,s1960,s1996,s2557,s2745,s2469,s1972,s1992,s2002,s5371,s792,s790,s5375,s1176,s1197,s73,s5363,s1162,s5391,s5175]) ).
cnf(s5398,plain,
( spl2_308
| spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2648,s2690,s4666,s1173,s3682,s3751,s2248,s4777,s1122,s4156,s4209,s3187,s1239,s11,s88,s5397,s1391,s1162,s5391,s1176,s19,s14,s73,s5363,s2966,s2002,s4634,s1992,s5371,s5175]) ).
cnf(s5399,plain,
( ~ spl2_300
| ~ spl2_331
| spl2_293
| ~ spl2_308
| spl2_274
| spl2_306
| spl2_463
| spl2_307
| spl2_359
| ~ spl2_404
| spl2_425
| spl2_491
| ~ spl2_68
| spl2_20
| ~ spl2_60
| spl2_18
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5394,s2123,s3752,s1090,s2725,s1889,s4667,s5395,s1737,s1733,s1173,s2415,s3000,s3586,s5122,s5369,s1430,s2690,s2190,s3756,s3683,s4384,s1193,s1888,s1891,s3221,s3709,s4294,s2698,s1137,s2064,s79,s4634,s2557,s1972,s792,s790,s4200,s4307,s5342,s3934,s2049,s5175]) ).
cnf(s5400,plain,
( ~ spl2_478
| ~ spl2_298
| spl2_502
| spl2_299
| ~ spl2_89
| spl2_300
| spl2_274
| spl2_491 ),
inference(rat,[],[s4577,s3668,s4470,s2423,s3529,s2974,s5175]) ).
cnf(s5401,plain,
( spl2_342
| ~ spl2_32
| spl2_300
| spl2_289
| ~ spl2_557
| ~ spl2_290
| ~ spl2_308
| spl2_274
| spl2_492
| spl2_351
| spl2_307
| spl2_491
| spl2_28
| spl2_20
| spl2_80
| spl2_18
| spl2_287 ),
inference(rat,[],[s3623,s4470,s4256,s3737,s4665,s3993,s2968,s2368,s5400,s4666,s4516,s1786,s3756,s1138,s2415,s1189,s4247,s2794,s3950,s4405,s4421,s1887,s5189,s2967,s1115,s335,s73,s5175]) ).
cnf(s5402,plain,
( ~ spl2_342
| spl2_300
| ~ spl2_557
| ~ spl2_290
| ~ spl2_308
| spl2_274
| spl2_330
| spl2_307
| spl2_359
| spl2_20
| ~ spl2_47
| spl2_18
| spl2_287 ),
inference(rat,[],[s1888,s3251,s4384,s4774,s3655,s2155,s4511,s4667,s1173,s2736,s3000]) ).
cnf(s5403,plain,
( spl2_20
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1239,s11,s3187,s88,s224,s5401,s5189,s5402,s5399,s3934,s2049,s4200,s1162,s3724,s4638,s3288,s5398,s5375,s3393,s2469,s2557,s3662,s4634,s1972,s2010,s4585,s1960,s2966,s1970,s1992,s1996,s2002,s2745,s5371,s73,s5363,s14,s2064,s79,s77,s10,s5175]) ).
cnf(s5404,plain,
( spl2_277
| spl2_342
| spl2_333
| ~ spl2_32
| spl2_357
| ~ spl2_43
| spl2_287 ),
inference(rat,[],[s5372,s4632,s784]) ).
cnf(s5405,plain,
( spl2_342
| ~ spl2_300
| ~ spl2_32
| ~ spl2_6
| spl2_357
| ~ spl2_43
| ~ spl2_20
| ~ spl2_29
| spl2_287 ),
inference(rat,[],[s4183,s4667,s2191,s4511,s4294,s1752,s5404,s2656,s3654,s1115,s1652]) ).
cnf(s5406,plain,
( ~ spl2_274
| ~ spl2_340
| ~ spl2_356
| spl2_333
| ~ spl2_6
| ~ spl2_406
| spl2_357
| spl2_18
| spl2_287 ),
inference(rat,[],[s4667,s2243,s4183,s1891,s4632,s1665,s1752]) ).
cnf(s5407,plain,
( spl2_479
| spl2_303
| ~ spl2_293
| ~ spl2_370
| ~ spl2_20
| ~ spl2_47
| spl2_287 ),
inference(rat,[],[s4665,s4259,s2997,s2743]) ).
cnf(s5408,plain,
( ~ spl2_300
| spl2_308
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1798,s5039,s4855,s1627,s1887,s4667,s4184,s4183,s5073,s2191,s792,s4294,s790,s5406,s2652,s3540,s1889,s3067,s1332,s5405,s2158,s1652,s19,s4280,s3239,s2745,s2984,s1197,s73,s2030,s3662,s1960,s2002,s2,s4622,s88,s2601,s3061,s1598,s1557,s5407,s4585,s1996,s4165,s1137,s5342,s1162,s1751,s224,s196,s1176,s5403,s79,s77,s10,s5175]) ).
cnf(s5409,plain,
( ~ spl2_274
| spl2_308
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2235,s4667,s1889,s2736,s3067,s5372,s3205,s4254,s2707,s2684,s4705,s3261,s1752,s2993,s19,s2677,s2966,s2984,s73,s2030,s3662,s1960,s2002,s2,s4622,s88,s2601,s3061,s1598,s1557,s1176,s1888,s3452,s1162,s1751,s224,s196,s5403,s77,s4585,s1996,s4708,s4203,s5408,s1992,s4165,s10,s1137,s5342,s5175]) ).
cnf(s5410,plain,
( spl2_342
| ~ spl2_39
| spl2_289
| spl2_298
| ~ spl2_270
| ~ spl2_479
| ~ spl2_32
| spl2_299
| spl2_357
| spl2_539
| ~ spl2_20
| ~ spl2_29
| spl2_287 ),
inference(rat,[],[s4667,s1627,s4183,s5039,s2656,s1438,s1115]) ).
cnf(s5411,plain,
( spl2_308
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2235,s4667,s1889,s2736,s3067,s5410,s58,s4915,s4247,s4261,s1138,s1648,s4176,s792,s4776,s790,s5409,s1888,s3452,s5408,s5407,s88,s2601,s3662,s1197,s335,s3061,s4585,s1960,s2984,s2966,s3239,s1598,s73,s1322,s1162,s1996,s2002,s2745,s1557,s2030,s1751,s4165,s1176,s1137,s5342,s19,s79,s224,s196,s5403,s77,s10,s5175]) ).
cnf(s5412,plain,
( ~ spl2_32
| spl2_342
| ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s5323,s1891,s2,s1665,s5405,s3061,s2984,s173,s1996,s2002,s73,s1851,s219,s2698,s1137,s5342,s19,s4280,s224,s196,s5403,s77,s10,s5175]) ).
cnf(s5413,plain,
( spl2_505
| ~ spl2_475
| ~ spl2_589
| ~ spl2_39
| ~ spl2_340
| ~ spl2_43
| ~ spl2_557 ),
inference(rat,[],[s2521,s2965,s2491,s4765,s2490]) ).
cnf(s5414,plain,
( ~ spl2_505
| ~ spl2_550
| spl2_299
| ~ spl2_431
| ~ spl2_365
| spl2_587
| spl2_32 ),
inference(rat,[],[s2830,s4467,s2746,s2932,s4110,s5175]) ).
cnf(s5415,plain,
( spl2_505
| ~ spl2_39
| spl2_312
| ~ spl2_396
| ~ spl2_340
| ~ spl2_43
| ~ spl2_557 ),
inference(rat,[],[s4673,s2503,s5413,s2490,s3145,s3335]) ).
cnf(s5416,plain,
( ~ spl2_298
| spl2_68
| ~ spl2_88
| spl2_342
| ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2651,s4467,s5414,s2932,s5415,s5297,s58,s4667,s4455,s4631,s3171,s2828,s3061,s5189,s1272,s4588,s1665,s3664,s1891,s4666,s2047,s1015,s1677,s3246,s4632,s2190,s2064,s224,s196,s4461,s5411,s1652,s2158,s79,s77,s10,s1333,s2656,s19,s3013,s1115,s2677,s5403,s5412,s2625,s1137,s5342,s5175]) ).
cnf(s5417,plain,
( ~ spl2_277
| spl2_334
| spl2_306
| spl2_32
| ~ spl2_274
| ~ spl2_293
| spl2_18 ),
inference(rat,[],[s1015,s2069,s1891,s4634,s3173,s4347,s5175]) ).
cnf(s5418,plain,
( spl2_298
| spl2_313
| ~ spl2_88
| spl2_32
| ~ spl2_340
| spl2_342
| ~ spl2_274
| ~ spl2_293
| ~ spl2_446
| ~ spl2_300
| ~ spl2_308
| spl2_18
| spl2_287 ),
inference(rat,[],[s1970,s2734,s2003,s1078,s3380,s3174,s1887,s1620,s4183,s4667,s2144,s2127,s4345,s3400,s5417,s4098,s1888,s3683,s1121,s1138,s1137,s5342,s1115]) ).
cnf(s5419,plain,
( ~ spl2_88
| spl2_342
| ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2901,s2982,s1887,s2247,s3092,s2618,s3024,s4973,s1891,s4666,s5417,s1015,s1677,s5416,s4632,s2190,s1403,s5418,s1743,s2625,s1137,s5342,s5411,s1652,s2690,s2158,s79,s77,s10,s2656,s1115,s19,s5403,s5412]) ).
cnf(s5420,plain,
( spl2_342
| ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s5066,s4632,s4347,s4544,s4634,s2247,s2984,s73,s1992,s2002,s2046,s5419,s88,s5412,s2656,s1115,s19,s4280,s1652,s5403,s5175]) ).
cnf(s5421,plain,
( ~ spl2_466
| ~ spl2_345
| spl2_277
| spl2_346
| ~ spl2_270
| spl2_303
| spl2_554
| spl2_289
| ~ spl2_293
| ~ spl2_300
| ~ spl2_557
| spl2_287 ),
inference(rat,[],[s2900,s3993,s4665,s2609,s4259,s2340,s2902,s3343,s2840]) ).
cnf(s5422,plain,
( ~ spl2_32
| ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3398,s3993,s2950,s3737,s4422,s4470,s5421,s4666,s4449,s2982,s1787,s1733,s1887,s1213,s1173,s4184,s4261,s1533,s5406,s1752,s5073,s1138,s2,s2190,s3540,s1888,s5323,s1015,s1889,s3683,s1891,s3067,s2557,s3393,s1665,s3662,s1972,s3061,s4585,s1960,s2984,s2974,s3239,s173,s1992,s1996,s2002,s2745,s73,s1851,s219,s2698,s1137,s5342,s2064,s2677,s4280,s4461,s5411,s1652,s2690,s2158,s5403,s79,s77,s10,s1333,s5420,s5175]) ).
cnf(s5423,plain,
( ~ spl2_298
| ~ spl2_400
| ~ spl2_88
| spl2_32
| ~ spl2_342
| ~ spl2_274
| ~ spl2_293
| spl2_333
| ~ spl2_19
| spl2_18
| spl2_287 ),
inference(rat,[],[s2653,s1889,s1663,s3067,s3024,s4973,s1891,s4666,s5417,s1015,s1677,s4632,s2190,s1403,s1137,s5342,s5175]) ).
cnf(s5424,plain,
( spl2_343
| ~ spl2_400
| ~ spl2_88
| ~ spl2_342
| ~ spl2_293
| ~ spl2_19
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s3067,s1535,s1889,s4697,s2653,s1078]) ).
cnf(s5425,plain,
( spl2_94
| ~ spl2_343
| spl2_290
| spl2_277
| spl2_299
| spl2_313
| ~ spl2_340
| spl2_32
| ~ spl2_342
| spl2_289
| ~ spl2_274
| ~ spl2_293
| ~ spl2_291
| ~ spl2_300
| ~ spl2_557
| spl2_18
| spl2_287 ),
inference(rat,[],[s4468,s3416,s2833,s3330,s5190,s3642,s4253,s1891,s58,s4588,s3061,s2941,s2866,s2828,s2108,s4158,s3989,s4667,s1889,s3135,s4512,s2668,s1785,s1446,s4666,s4258,s3397,s4635,s2698,s1137,s5342,s1743,s784,s5175]) ).
cnf(s5426,plain,
( ~ spl2_88
| ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2733,s4667,s4264,s4512,s225,s1787,s5425,s1887,s1429,s4260,s5424,s3251,s5417,s4098,s1888,s3683,s1213,s1121,s4261,s1138,s5423,s1743,s2625,s5326,s1137,s5342,s19,s2064,s2677,s196,s4461,s5411,s1652,s2690,s2158,s5403,s79,s77,s10,s1333,s5420,s5422]) ).
cnf(s5427,plain,
( ~ spl2_274
| ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3709,s4307,s1891,s2601,s1665,s3061,s1996,s5426,s88,s5422,s5342,s5175]) ).
cnf(s5428,plain,
( ~ spl2_28
| spl2_274
| ~ spl2_308
| spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s5361,s1509,s2625,s86,s2046,s1137,s77,s10]) ).
cnf(s5429,plain,
( ~ spl2_88
| spl2_328
| spl2_274
| ~ spl2_291
| spl2_11
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s1891,s4588,s1567,s2625]) ).
cnf(s5430,plain,
( ~ spl2_293
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3398,s3993,s2950,s3737,s4422,s4470,s4666,s1733,s5421,s3752,s4449,s1173,s2982,s2725,s4183,s1533,s5405,s4667,s2,s88,s3390,s4622,s2601,s1787,s4776,s3221,s1887,s1888,s4184,s2557,s4384,s5073,s1972,s3061,s2010,s4585,s2984,s1970,s3239,s2974,s1992,s1996,s2002,s2745,s5429,s4984,s73,s5428,s1213,s4915,s4261,s1138,s2191,s792,s4294,s790,s5427,s1137,s5342,s19,s2064,s2677,s4280,s224,s196,s4461,s5411,s2158,s5403,s79,s77,s10,s5175]) ).
cnf(s5431,plain,
( spl2_342
| spl2_313
| ~ spl2_340
| spl2_293
| ~ spl2_308
| ~ spl2_557
| spl2_18 ),
inference(rat,[],[s3068,s1620,s1889,s1887,s3539,s2967,s1115,s1162]) ).
cnf(s5432,plain,
( spl2_270
| ~ spl2_342
| ~ spl2_340
| ~ spl2_88
| ~ spl2_382
| ~ spl2_308
| spl2_18
| spl2_287 ),
inference(rat,[],[s1887,s3174,s2618,s1078,s3664,s3397,s1891,s4666,s1015,s1677,s5342]) ).
cnf(s5433,plain,
( ~ spl2_88
| ~ spl2_274
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s4634,s4347,s2069,s3251,s4098,s1888,s3683,s1121,s1138,s2190,s5432,s5431,s2625,s5326,s1851,s1137,s19,s5411,s1652,s2690,s2158,s79,s77,s10,s1162,s4635,s2782,s1956,s930,s5430,s5342,s2677,s5403,s5175]) ).
cnf(s5434,plain,
( ~ spl2_274
| ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s4622,s2,s2104,s1752,s3709,s784,s1891,s5365,s4588,s4530,s1239,s2829,s73,s1992,s1996,s2046,s5433,s2773,s5342,s2158,s79,s77,s10,s2760,s1162,s5430,s2677,s5403,s5175]) ).
cnf(s5435,plain,
( ~ spl2_300
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s1996,s2010,s5429,s4384,s1593,s1888,s73,s2191,s4776,s5428,s4294,s5434,s3641,s5430,s2158,s1137,s5342,s79,s77,s10,s5403,s5411]) ).
cnf(s5436,plain,
( ~ spl2_274
| ~ spl2_293
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2235,s1889,s4667,s4772,s2736,s3642,s5372,s4705,s3583,s4253,s3261,s1752,s1891,s1888,s3586,s4708,s2,s1665,s3452,s1633,s4203,s4623,s3061,s4585,s1960,s2984,s2966,s1992,s1996,s2002,s73,s1851,s219,s88,s5348,s1137,s5342,s2677,s4280,s224,s196,s5403,s77,s10,s5411,s5435,s5175]) ).
cnf(s5437,plain,
( ~ spl2_88
| spl2_274
| ~ spl2_293
| spl2_300
| ~ spl2_308
| ~ spl2_20
| spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s784,s2684,s1407,s5429,s3452,s1593,s1888,s1891,s1650,s1567,s1137,s19,s790]) ).
cnf(s5438,plain,
( ~ spl2_458
| ~ spl2_284
| ~ spl2_345
| ~ spl2_346
| spl2_303
| ~ spl2_293
| spl2_287 ),
inference(rat,[],[s4665,s4259,s2900,s2540]) ).
cnf(s5439,plain,
( spl2_342
| ~ spl2_293
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3624,s4470,s2950,s3737,s2639,s3993,s5438,s1889,s2982,s3068,s2733,s1213,s4915,s2234,s2190,s3751,s3736,s12,s4183,s4666,s2896,s4667,s4516,s2949,s3390,s1787,s1887,s3335,s2618,s3013,s2656,s1115,s19,s2064,s77,s10,s2677,s4461,s1122,s3239,s2984,s4634,s3662,s2002,s2557,s1972,s1992,s2745,s3586,s1633,s1960,s73,s5428,s4776,s1648,s1888,s3452,s4585,s1996,s5437,s5411,s5403,s5342,s5435,s792,s790,s5436,s5175]) ).
cnf(s5440,plain,
( ~ spl2_293
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s2235,s1889,s4667,s3067,s2736,s5439,s1648,s1888,s3452,s3662,s4585,s1960,s2966,s1996,s2002,s5437,s792,s790,s5436,s5342,s5403,s5411,s5435,s5175]) ).
cnf(s5441,plain,
( spl2_277
| spl2_313
| ~ spl2_290
| ~ spl2_308
| ~ spl2_20
| ~ spl2_29
| spl2_18 ),
inference(rat,[],[s4588,s1593,s1891,s1888,s3326,s2684,s3251,s784,s2760,s2677]) ).
cnf(s5442,plain,
( ~ spl2_88
| spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s3533,s1889,s2897,s2009,s2010,s4384,s2966,s1403,s4260,s1888,s2069,s73,s5368,s1650,s792,s3979,s5428,s790,s2194,s1512,s5441,s4777,s5431,s1743,s88,s2625,s5326,s1851,s1137,s5342,s19,s10,s2677,s5403,s5411,s5435,s1162,s5440,s5175]) ).
cnf(s5443,plain,
( ~ spl2_274
| ~ spl2_104
| ~ spl2_6
| ~ spl2_68
| ~ spl2_290
| ~ spl2_308
| ~ spl2_20
| ~ spl2_29
| spl2_18 ),
inference(rat,[],[s4254,s4530,s2684,s5441,s3261,s1752,s2993,s2760,s2677,s5175]) ).
cnf(s5444,plain,
( spl2_342
| spl2_351
| ~ spl2_290
| ~ spl2_308
| ~ spl2_20
| ~ spl2_29
| spl2_18 ),
inference(rat,[],[s2618,s1887,s2656,s2967,s1115,s2677]) ).
cnf(s5445,plain,
( spl2_39
| ~ spl2_602
| ~ spl2_342
| ~ spl2_404
| ~ spl2_68
| spl2_300 ),
inference(rat,[],[s3655,s1138,s2946,s4247,s3586,s58,s335,s5175]) ).
cnf(s5446,plain,
( ~ spl2_340
| ~ spl2_32
| spl2_467
| ~ spl2_478
| ~ spl2_409
| spl2_343
| spl2_289
| ~ spl2_342
| spl2_351
| ~ spl2_404
| spl2_554
| spl2_28
| spl2_377
| ~ spl2_290
| ~ spl2_308
| spl2_80
| spl2_18 ),
inference(rat,[],[s2364,s4470,s3993,s1213,s2609,s12,s3051,s1371,s2982,s3950,s1887,s2946,s2618,s4461]) ).
cnf(s5447,plain,
( spl2_11
| spl2_18
| spl2_287 ),
inference(rat,[],[s4470,s2364,s1213,s3993,s4261,s2609,s1138,s3316,s3655,s1173,s5446,s88,s3979,s2194,s3529,s5441,s5351,s4530,s5445,s1627,s4511,s4667,s1533,s2736,s3926,s5444,s792,s790,s5443,s4708,s2,s3662,s4203,s4623,s2010,s1960,s2966,s1970,s73,s2974,s1992,s1996,s2002,s2046,s2745,s5442,s2760,s1246,s1162,s1229,s5440,s5435,s4461,s5411,s4280,s2677,s5403,s2064,s77,s10,s19,s5175]) ).
cnf(s5448,plain,
( ~ spl2_298
| spl2_78
| ~ spl2_274
| spl2_20
| ~ spl2_557
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s3583,s236,s1752,s4708,s2,s1525,s81,s86,s967,s5175]) ).
cnf(s5449,plain,
( ~ spl2_28
| spl2_78
| spl2_20
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_295 ),
inference(rat,[],[s1420,s88,s4164,s11,s3171,s1237,s1149,s1355,s86,s14,s5175]) ).
cnf(s5450,plain,
( spl2_78
| ~ spl2_274
| spl2_20
| ~ spl2_557
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s4421,s2683,s179,s4264,s1525,s5449,s784,s1512,s4769,s5448,s5175]) ).
cnf(s5451,plain,
( ~ spl2_39
| ~ spl2_298
| ~ spl2_431
| ~ spl2_303
| spl2_20
| ~ spl2_300
| spl2_18 ),
inference(rat,[],[s4634,s3522,s4774,s1891,s4720,s1407,s3205,s3583,s4209,s5175]) ).
cnf(s5452,plain,
( spl2_39
| ~ spl2_308
| spl2_20
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_295 ),
inference(rat,[],[s810,s85,s4272,s58,s2594]) ).
cnf(s5453,plain,
( ~ spl2_274
| spl2_20
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s4417,s2773,s2069,s2683,s847,s4098,s784,s1888,s1512,s2161,s4769,s1138,s224,s5451,s3187,s5452,s4455,s4585,s4638,s2741,s1509,s5450,s1137,s4209,s5175]) ).
cnf(s5454,plain,
( ~ spl2_277
| ~ spl2_309
| ~ spl2_39
| spl2_330
| ~ spl2_281
| ~ spl2_293
| spl2_295 ),
inference(rat,[],[s2559,s1449,s1121,s3207,s3173]) ).
cnf(s5455,plain,
( ~ spl2_347
| ~ spl2_285
| ~ spl2_320
| ~ spl2_309
| ~ spl2_39
| ~ spl2_281
| ~ spl2_557
| spl2_287 ),
inference(rat,[],[s3698,s4135,s4667,s3335,s2144,s3013]) ).
cnf(s5456,plain,
( ~ spl2_285
| ~ spl2_6
| ~ spl2_365
| ~ spl2_320
| ~ spl2_309
| ~ spl2_39
| ~ spl2_281
| ~ spl2_296
| ~ spl2_557
| ~ spl2_88
| spl2_287 ),
inference(rat,[],[s4448,s1078,s1676,s1533,s1115,s5455]) ).
cnf(s5457,plain,
( spl2_308
| ~ spl2_320
| ~ spl2_309
| ~ spl2_423
| ~ spl2_43
| ~ spl2_29
| ~ spl2_47
| ~ spl2_39
| ~ spl2_281
| ~ spl2_296
| spl2_20
| ~ spl2_557
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s2984,s2134,s2897,s2652,s2653,s3545,s1889,s5456,s4780,s73,s4631,s2172,s1751,s1176,s1137,s5342,s1349,s5447,s5175]) ).
cnf(s5458,plain,
( spl2_20
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s4384,s5457,s1272,s2683,s4345,s784,s5454,s1138,s3061,s3756,s5317,s1430,s4421,s28,s38,s58,s1237,s1393,s11,s1888,s88,s1891,s1650,s884,s1567,s790,s5453,s2698,s1137,s5342,s5447,s4209,s5175]) ).
cnf(s5459,plain,
( ~ spl2_298
| ~ spl2_274
| spl2_308
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s2651,s4467,s5414,s2932,s5415,s2656,s1968,s2703,s1115,s4184,s2340,s1676,s1887,s3005,s1889,s3174,s4668,s2653,s1078,s2635,s1661,s4351,s3853,s2852,s235,s4455,s5407,s4468,s142,s4622,s28,s1407,s3024,s2058,s1239,s1197,s4631,s234,s2,s1237,s1891,s4666,s2795,s73,s1598,s1391,s224,s1752,s2773,s1015,s1677,s3244,s3246,s86,s1557,s196,s79,s2064,s4632,s4807,s2190,s967,s5447,s4209,s1652,s5458,s1176,s1509,s2741,s1137,s5342,s5175]) ).
cnf(s5460,plain,
( spl2_423
| spl2_398
| ~ spl2_274
| spl2_78
| spl2_308
| ~ spl2_293
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s4264,s1546,s86,s1597,s4234,s1149,s1891,s1596,s4736,s3061,s5175]) ).
cnf(s5461,plain,
( ~ spl2_555
| ~ spl2_281
| spl2_463
| ~ spl2_601
| ~ spl2_88
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s2653,s1889,s3678,s3698]) ).
cnf(s5462,plain,
( ~ spl2_342
| spl2_351
| spl2_375
| ~ spl2_88
| ~ spl2_293
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s2653,s1889,s1663,s3067,s5175]) ).
cnf(s5463,plain,
( spl2_39
| ~ spl2_423
| spl2_277
| ~ spl2_309
| ~ spl2_274
| spl2_78
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s3737,s3993,s4470,s4666,s2362,s3343,s4516,s2340,s1785,s5190,s4184,s3642,s1887,s4253,s3174,s1891,s2604,s1078,s5461,s3678,s4667,s2144,s3013,s1115,s5462,s1535,s4135,s2942,s4144,s3165,s1048,s1743,s1104,s3144,s2229,s86,s73,s5206,s855,s58,s2698,s4209,s5458,s3886,s784,s4345,s4455,s1208,s4487,s1137,s5342,s4670,s1434,s5447]) ).
cnf(s5464,plain,
( ~ spl2_274
| spl2_308
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s142,s86,s36,s229,s5463,s5460,s235,s1512,s1642,s4769,s1138,s5459,s5447,s5458,s1509,s2741,s1137,s5342,s5175]) ).
cnf(s5465,plain,
( ~ spl2_277
| spl2_330
| ~ spl2_309
| ~ spl2_281
| spl2_308
| ~ spl2_20
| ~ spl2_293 ),
inference(rat,[],[s4234,s1598,s1121,s3182,s3173]) ).
cnf(s5466,plain,
( ~ spl2_313
| spl2_502
| spl2_277
| ~ spl2_281
| spl2_32
| spl2_274
| spl2_308
| ~ spl2_20
| ~ spl2_300
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s3699,s4470,s4668,s4142,s3447,s2834,s4667,s3989,s3239,s4512,s3137,s5094,s1785,s4445,s2966,s5407,s1534,s1676,s4772,s1406,s3067,s1115,s5455,s58,s2069,s4451,s4052,s3682,s4631,s1889,s335,s1381,s3992,s1391,s4952,s5145,s73,s1598,s1547,s196,s79,s2229,s4234,s1149,s1349,s4209,s1652,s1176,s792,s790,s1138,s4769,s2191,s4294,s1193,s4455,s3061,s5226,s88,s5447,s5342,s4345,s5175]) ).
cnf(s5467,plain,
( spl2_39
| ~ spl2_400
| ~ spl2_320
| spl2_277
| ~ spl2_423
| spl2_299
| ~ spl2_309
| ~ spl2_281
| spl2_32
| spl2_308
| ~ spl2_557
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s2635,s4668,s4587,s3699,s3993,s4470,s2362,s3343,s2340,s5190,s2897,s2244,s3545,s3540,s1889,s3698,s4667,s2144,s3013,s1115,s5462,s1535,s4135,s2942,s4144,s3179,s3165,s1104,s3144,s86,s73,s335,s85,s855,s58,s2698,s5447,s1509,s2741,s1137,s5342,s784,s5175]) ).
cnf(s5468,plain,
( ~ spl2_347
| ~ spl2_29
| ~ spl2_328
| ~ spl2_320
| ~ spl2_20
| spl2_287 ),
inference(rat,[],[s4667,s2828,s2144,s2656]) ).
cnf(s5469,plain,
( ~ spl2_407
| ~ spl2_342
| spl2_94
| spl2_32
| ~ spl2_296
| ~ spl2_300
| ~ spl2_88 ),
inference(rat,[],[s1446,s4258,s1785,s1630,s1627,s792]) ).
cnf(s5470,plain,
( spl2_308
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s1328,s3434,s1887,s1733,s3877,s1173,s2828,s4667,s5469,s1115,s5468,s28,s2166,s1381,s4588,s4631,s1598,s2158,s1391,s1557,s79,s3187,s229,s5467,s1743,s5466,s2414,s301,s1351,s2782,s1956,s849,s4345,s784,s5465,s3061,s1393,s5226,s1193,s1138,s1888,s88,s1891,s2191,s1650,s402,s884,s1567,s4294,s790,s3419,s5464,s1176,s1137,s5342,s5447,s4209,s5458,s5175]) ).
cnf(s5471,plain,
( ~ spl2_298
| ~ spl2_274
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s5414,s2651,s228,s4467,s86,s5297,s2614,s2247,s1078,s2003,s3174,s3380,s2932,s4667,s1887,s5415,s2828,s2618,s4631,s3013,s2656,s4455,s5189,s2047,s1115,s3061,s5462,s28,s58,s1665,s3664,s3024,s1237,s1891,s4666,s224,s3279,s2773,s3930,s1015,s1677,s3246,s196,s2064,s4632,s4807,s2190,s967,s2698,s1137,s5342,s1349,s5447,s4209,s1652,s5458,s4461,s5470,s5175]) ).
cnf(s5472,plain,
( ~ spl2_274
| ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s5463,s3061,s228,s1596,s85,s229,s1149,s3161,s1547,s1270,s185,s4417,s2069,s847,s4098,s784,s4915,s1888,s1512,s4261,s2161,s4769,s1138,s5471,s1137,s5342,s5447,s1652,s5458,s4461,s2594,s5470,s5175]) ).
cnf(s5473,plain,
( ~ spl2_300
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s1272,s2158,s4384,s38,s1888,s4052,s1891,s2191,s1650,s884,s1567,s4294,s790,s5472,s2594,s5470,s5458,s1137,s5342,s5447]) ).
cnf(s5474,plain,
( ~ spl2_274
| spl2_20
| spl2_78
| spl2_300
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s2673,s88,s5450,s5348,s1137]) ).
cnf(s5475,plain,
( ~ spl2_298
| ~ spl2_10
| spl2_277
| spl2_274
| spl2_344
| spl2_502
| ~ spl2_29
| ~ spl2_47
| ~ spl2_60
| ~ spl2_39
| spl2_299
| spl2_328
| spl2_28
| ~ spl2_24
| ~ spl2_316
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s5092,s1532,s4544,s1534,s3236,s4568,s1120,s1381,s4156,s4160,s4200,s3583,s1349,s5145,s5317,s5447,s2698,s1137,s5342]) ).
cnf(s5476,plain,
( ~ spl2_557
| ~ spl2_309
| ~ spl2_272
| ~ spl2_423
| ~ spl2_281
| ~ spl2_296
| ~ spl2_39
| spl2_17
| spl2_20
| spl2_308
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s2707,s5457,s4421,s38,s28]) ).
cnf(s5477,plain,
( spl2_20
| spl2_308
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s2979,s4587,s3448,s3993,s4470,s3398,s3699,s1733,s4821,s4668,s1173,s4445,s2638,s2950,s5076,s4666,s5094,s1532,s3751,s4544,s3236,s4576,s4568,s4156,s4160,s5476,s2069,s4417,s1138,s5475,s11,s88,s5238,s784,s4464,s1407,s4585,s1393,s3452,s1888,s1891,s1650,s792,s1567,s790,s5474,s3472,s2415,s2064,s28,s38,s71,s236,s179,s4708,s1197,s5145,s1525,s73,s4527,s2792,s5449,s14,s2856,s1349,s5447,s1122,s5473,s1176,s1509,s2741,s2787,s4165,s1137,s5342,s5175]) ).
cnf(s5478,plain,
( ~ spl2_277
| spl2_331
| ~ spl2_274
| spl2_300
| ~ spl2_293
| spl2_18
| spl2_295 ),
inference(rat,[],[s4455,s3522,s4622,s4623,s1891,s2,s3173,s1752,s1120,s1122,s5175]) ).
cnf(s5479,plain,
( ~ spl2_298
| spl2_277
| ~ spl2_274
| ~ spl2_20
| spl2_78 ),
inference(rat,[],[s4254,s2683,s3583,s2993,s73,s224,s86,s196,s967,s2677,s784,s5175]) ).
cnf(s5480,plain,
( spl2_39
| ~ spl2_431
| ~ spl2_309
| ~ spl2_272
| ~ spl2_96
| spl2_300
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s3452,s1888,s1048,s764,s2229,s4175,s73,s185,s4203,s335,s1237,s179,s4247,s855,s58,s5342,s5447,s5175]) ).
cnf(s5481,plain,
( ~ spl2_274
| spl2_308
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s142,s86,s36,s229,s5480,s4455,s235,s5460,s1642,s4769,s1138,s5479,s784,s5478,s1679,s2597,s88,s5348,s5447,s5473,s1509,s2741,s1137,s5342,s5477,s5175]) ).
cnf(s5482,plain,
( ~ spl2_298
| spl2_32
| spl2_277
| ~ spl2_557
| spl2_78
| ~ spl2_11 ),
inference(rat,[],[s335,s85,s73,s58,s86,s3583,s967,s5175]) ).
cnf(s5483,plain,
( ~ spl2_17
| spl2_32
| ~ spl2_431
| ~ spl2_303
| ~ spl2_11 ),
inference(rat,[],[s73,s2229,s335,s1048,s85,s5175]) ).
cnf(s5484,plain,
( ~ spl2_285
| ~ spl2_39
| ~ spl2_309
| ~ spl2_303
| ~ spl2_281
| ~ spl2_557
| spl2_287 ),
inference(rat,[],[s1115,s1406,s5455,s2707,s784,s1407]) ).
cnf(s5485,plain,
( spl2_308
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s2984,s2134,s2897,s2652,s2653,s3545,s1889,s5484,s73,s78,s28,s58,s5483,s1138,s5482,s5238,s4464,s4455,s1407,s4585,s1393,s3452,s1888,s1891,s1650,s1567,s790,s5481,s2677,s5477,s1509,s2741,s1176,s1137,s5342,s1349,s5447,s5473,s5175]) ).
cnf(s5486,plain,
( spl2_20
| spl2_277
| ~ spl2_557
| ~ spl2_437
| ~ spl2_308
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_295 ),
inference(rat,[],[s3583,s4182,s5452,s14]) ).
cnf(s5487,plain,
( ~ spl2_274
| ~ spl2_308
| spl2_300
| ~ spl2_88
| ~ spl2_293
| ~ spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s73,s4984,s1355,s4915,s4247,s4261,s1846,s1138,s5479,s228,s5486,s847,s784,s5478,s1679,s2597,s2673,s88,s5348,s2192,s1137,s4461,s2594]) ).
cnf(s5488,plain,
( ~ spl2_28
| spl2_17
| ~ spl2_431
| spl2_274
| ~ spl2_308
| ~ spl2_88
| spl2_18
| spl2_295 ),
inference(rat,[],[s5361,s2229,s78]) ).
cnf(s5489,plain,
( spl2_20
| ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s4164,s1449,s4384,s2559,s5475,s5367,s2405,s3465,s4534,s14,s1122,s402,s3419,s1193,s1593,s88,s71,s58,s38,s28,s5488,s5483,s851,s784,s1407,s1891,s1567,s1137,s4455,s4585,s3452,s1888,s1650,s790,s5487,s5473,s5447,s5485,s5342,s5175]) ).
cnf(s5490,plain,
( ~ spl2_88
| ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s4384,s1272,s3583,s2684,s2677,s5489,s28,s58,s5483,s851,s784,s4455,s1407,s4585,s3452,s1888,s1891,s1650,s1567,s790,s5487,s5485,s5473,s1137,s5342,s5447,s5175]) ).
cnf(s5491,plain,
( ~ spl2_274
| ~ spl2_366
| ~ spl2_406
| ~ spl2_68
| spl2_425
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s1499,s1891,s2157,s1665,s2127]) ).
cnf(s5492,plain,
( ~ spl2_298
| ~ spl2_300
| spl2_274
| spl2_28
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s4708,s236,s1525,s1430,s2191,s3756,s4294,s5175]) ).
cnf(s5493,plain,
( spl2_398
| spl2_308
| ~ spl2_47
| spl2_289
| ~ spl2_68
| spl2_425
| spl2_423
| spl2_18 ),
inference(rat,[],[s2176,s1891,s3992,s3697,s3682,s1972]) ).
cnf(s5494,plain,
( ~ spl2_298
| spl2_274
| ~ spl2_313
| spl2_303
| spl2_28
| ~ spl2_293
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s1888,s3452,s3534,s5492,s3756]) ).
cnf(s5495,plain,
( ~ spl2_293
| spl2_18
| spl2_287 ),
inference(rat,[],[s1597,s1150,s1891,s3992,s185,s3697,s3682,s4417,s4769,s1138,s5494,s5491,s2050,s2064,s2559,s1149,s1596,s1972,s3061,s4585,s5145,s73,s1992,s1996,s2046,s5490,s5342,s5447,s5175]) ).
cnf(s5496,plain,
( spl2_308
| ~ spl2_557
| ~ spl2_298
| ~ spl2_274
| ~ spl2_290
| ~ spl2_11
| spl2_18
| ~ spl2_288 ),
inference(rat,[],[s5448,s196,s1509,s1391,s2741,s1176,s967]) ).
cnf(s5497,plain,
( spl2_20
| ~ spl2_557
| ~ spl2_298
| ~ spl2_274
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1419,s3397,s1173,s4666,s5432,s1677,s2190,s2070,s70,s5350,s4634,s2,s1743,s4347,s3929,s1752,s4530,s3583,s58,s1237,s11,s5448,s88,s931,s2760,s4635,s2782,s1956,s930,s5496,s1162,s5495,s5447,s1137,s5342,s5175]) ).
cnf(s5498,plain,
( ~ spl2_300
| ~ spl2_298
| ~ spl2_274
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s3853,s4468,s5193,s1213,s3434,s2795,s1733,s5316,s1173,s1078,s5432,s5351,s1663,s5444,s1272,s3664,s3024,s28,s58,s1891,s4666,s1237,s3930,s1015,s1677,s3244,s2773,s4632,s2190,s2158,s1652,s5497,s5496,s4635,s2782,s4209,s2698,s1137,s5447,s1162,s1956,s930,s931,s5495,s5342,s2064,s79,s967,s5175]) ).
cnf(s5499,plain,
( ~ spl2_298
| ~ spl2_274
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s3729,s4667,s1889,s1628,s2653,s1078,s5052,s1532,s1534,s1446,s1381,s14,s4156,s4200,s196,s4421,s224,s4052,s234,s335,s1888,s4264,s142,s73,s4098,s2070,s4453,s4632,s235,s2127,s1512,s1642,s4166,s4777,s2192,s5498,s79,s967,s1137,s1349,s5447,s88,s931,s5495,s5342,s5175]) ).
cnf(s5500,plain,
( ~ spl2_300
| ~ spl2_274
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s3699,s4668,s4470,s3382,s3343,s3002,s2340,s5193,s1785,s4772,s1627,s1889,s4667,s2653,s1078,s5461,s1233,s1099,s4135,s4144,s3165,s1104,s3144,s196,s5210,s11,s855,s1237,s3187,s1208,s3242,s1391,s4487,s1176,s4736,s2161,s1891,s1888,s3326,s1351,s3251,s2760,s2782,s4345,s4209,s2698,s1137,s1162,s1956,s930,s88,s931,s5495,s5342,s3886,s4670,s1434,s1138,s847,s784,s1512,s4769,s5499,s5447,s5175]) ).
cnf(s5501,plain,
( ~ spl2_274
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1628,s4667,s1078,s2736,s1233,s1099,s5210,s1104,s855,s196,s3187,s3242,s1391,s1176,s1891,s2161,s3326,s1351,s1888,s2707,s2760,s2782,s4098,s2677,s4453,s14,s2127,s4182,s4166,s2192,s5500,s784,s1512,s4769,s1138,s5499,s1137,s5447,s1162,s1956,s930,s88,s931,s5495,s5342,s5175]) ).
cnf(s5502,plain,
( ~ spl2_298
| ~ spl2_300
| spl2_274
| ~ spl2_10
| ~ spl2_11 ),
inference(rat,[],[s1237,s58,s11,s1430,s2191,s3756,s4294,s5175]) ).
cnf(s5503,plain,
( spl2_20
| spl2_94
| ~ spl2_300
| spl2_274
| spl2_32
| ~ spl2_88
| ~ spl2_290
| ~ spl2_11
| spl2_18
| spl2_295 ),
inference(rat,[],[s3174,s1078,s1887,s1533,s1625,s2,s3701,s81,s5469,s5365,s1509,s5350,s1593,s5361,s1743,s1751,s4530,s4421,s58,s71,s4915,s1237,s4261,s11,s1321,s1888,s1650,s790,s2760,s4209,s1138,s5502,s88,s5175]) ).
cnf(s5504,plain,
( ~ spl2_370
| ~ spl2_300
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s4260,s5210,s5091,s890,s1535,s1099,s1743,s185,s1104,s1149,s3934,s1237,s196,s2057,s3242,s1391,s1891,s1567,s1137,s1888,s1650,s790,s2760,s5503,s2782,s4209,s1956,s930,s5501,s931,s1162,s5495,s5447,s5342,s5175]) ).
cnf(s5505,plain,
( ~ spl2_300
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s5091,s1233,s1535,s1743,s1104,s1149,s1547,s5369,s1546,s1272,s4384,s1176,s5504,s1652,s5503,s5502,s1351,s2782,s4209,s5447,s1162,s1956,s930,s88,s931,s5495,s1891,s1567,s1137,s1888,s1650,s790,s5501,s5342]) ).
cnf(s5506,plain,
( spl2_308
| ~ spl2_298
| spl2_20
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s5092,s1532,s4544,s1534,s3236,s4568,s1120,s1381,s5145,s4156,s4160,s4200,s78,s3242,s2741,s1176,s1349,s1162,s1193,s1891,s1567,s1122,s4527,s5505,s3465,s2405,s4534,s14,s402,s3419,s5501,s71,s38,s28,s5317,s58,s1237,s11,s5447,s2698,s1137,s88,s931,s5495,s5342,s5175]) ).
cnf(s5507,plain,
( ~ spl2_557
| ~ spl2_308
| ~ spl2_298
| spl2_17
| spl2_20
| spl2_274
| ~ spl2_88
| ~ spl2_290
| spl2_18
| spl2_295 ),
inference(rat,[],[s1887,s1625,s3174,s1630,s1078,s1533,s2,s81,s1509,s5350,s5361,s1743,s2018,s3937,s4530,s3583,s2760,s1888,s1650,s790,s71,s3205,s58,s5175]) ).
cnf(s5508,plain,
( ~ spl2_298
| spl2_20
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s5092,s854,s5488,s2690,s4455,s3683,s1534,s1532,s4544,s3236,s4568,s3724,s1120,s1381,s4156,s4160,s4200,s5507,s3288,s5506,s1349,s1162,s1888,s1650,s790,s1193,s1891,s1567,s1122,s4527,s5505,s3465,s2405,s4534,s14,s402,s3419,s5501,s71,s38,s28,s5317,s58,s1237,s11,s5447,s2698,s1137,s88,s931,s5495,s5342,s5175]) ).
cnf(s5509,plain,
( spl2_308
| spl2_20
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s2979,s4569,s3448,s4667,s3993,s4470,s3729,s3398,s3699,s1889,s1733,s4668,s2652,s1173,s2638,s2950,s5076,s5094,s1534,s1532,s4544,s3236,s4576,s4568,s1381,s4156,s4160,s4200,s78,s3242,s2741,s1176,s1349,s1162,s1888,s1650,s1193,s1891,s1567,s1137,s1122,s5505,s2405,s4534,s14,s402,s3419,s71,s28,s1237,s4915,s4261,s1321,s4451,s2069,s4417,s1138,s5508,s5447,s11,s88,s931,s5495,s5342,s792,s790,s5501,s5175]) ).
cnf(s5510,plain,
( spl2_20
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1887,s1625,s3174,s1630,s1078,s1533,s5350,s1743,s4780,s3701,s4530,s73,s3169,s4722,s4200,s3780,s1546,s4164,s1272,s4384,s5509,s4915,s4417,s4261,s1138,s5508,s38,s58,s1237,s11,s14,s1321,s5447,s1162,s88,s931,s5495,s1891,s1567,s1137,s1888,s1650,s790,s5501,s5342,s5175]) ).
cnf(s5511,plain,
( ~ spl2_17
| ~ spl2_333
| spl2_300
| spl2_32
| ~ spl2_11
| spl2_287 ),
inference(rat,[],[s73,s2070,s335,s4203,s85,s179,s5175]) ).
cnf(s5512,plain,
( ~ spl2_343
| ~ spl2_298
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s2009,s5351,s1889,s5310,s2324,s2866,s3380,s3989,s1887,s3133,s2984,s1620,s3335,s4544,s2134,s1234,s1661,s1349,s1351,s2782,s1956,s930,s5350,s1743,s3937,s3205,s73,s4964,s1546,s4588,s1593,s1888,s1650,s1193,s1891,s1567,s1137,s1122,s235,s142,s234,s2224,s2792,s2787,s1403,s2069,s3979,s2194,s3583,s88,s2857,s78,s5361,s4530,s58,s2760,s2677,s1751,s224,s196,s5510,s1162,s5511,s2190,s792,s790,s5501,s5505,s931,s5495,s5342,s5447,s2064,s967,s5175]) ).
cnf(s5513,plain,
( ~ spl2_298
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1887,s1625,s3174,s1630,s1078,s5512,s5350,s2018,s3937,s1743,s3583,s3205,s4530,s58,s5511,s2190,s5447,s931,s792,s1888,s1650,s790,s5501,s5342,s5505,s2760,s2677,s5510,s1162,s5495]) ).
cnf(s5514,plain,
( ~ spl2_370
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s3699,s4470,s4668,s3448,s2635,s2979,s4569,s4667,s3993,s3729,s2362,s1889,s3013,s3539,s1115,s1663,s2340,s5091,s5310,s2069,s4451,s1535,s2942,s1743,s4144,s3179,s3165,s4203,s4938,s1104,s1149,s3144,s179,s196,s3242,s1391,s5447,s1162,s931,s5495,s792,s1888,s1650,s790,s1193,s1891,s1567,s1137,s5342,s5501,s5505,s2677,s5510,s1138,s5513,s5175]) ).
cnf(s5515,plain,
( ~ spl2_17
| ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s1233,s5091,s5210,s1535,s1743,s2707,s1104,s1149,s3701,s1547,s2151,s5511,s931,s5505,s1351,s2782,s2677,s5510,s1956,s930,s5495,s5447,s4915,s4261,s4461,s1138,s1546,s1272,s4384,s1176,s5514,s5513,s1888,s1650,s790,s1891,s1567,s5501,s1137,s5342]) ).
cnf(s5516,plain,
( ~ spl2_88
| spl2_18
| spl2_287 ),
inference(rat,[],[s2966,s4260,s2897,s2653,s1090,s1889,s2009,s5350,s2010,s4964,s1743,s73,s5441,s4530,s78,s28,s58,s71,s5515,s1604,s1546,s4915,s1272,s4261,s4384,s4461,s1176,s5514,s1138,s5513,s2760,s2677,s5510,s1122,s5505,s1193,s1888,s1891,s1650,s1567,s790,s5501,s931,s1137,s5342,s1162,s5495,s5175]) ).
cnf(s5517,plain,
( spl2_308
| ~ spl2_60
| spl2_289
| spl2_425
| spl2_423
| spl2_28
| ~ spl2_290
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s88,s4777,s2673,s4209,s4421,s180,s1524,s196,s1391,s5493,s1751,s1176,s73,s79,s5175]) ).
cnf(s5518,plain,
( ~ spl2_300
| ~ spl2_298
| spl2_328
| spl2_28
| ~ spl2_11
| spl2_18 ),
inference(rat,[],[s180,s58,s1524,s3205,s2158,s4720,s3279,s5492,s1349,s79,s967,s5175]) ).
cnf(s5519,plain,
( spl2_20
| ~ spl2_298
| spl2_18
| spl2_287 ),
inference(rat,[],[s5402,s1752,s5189,s3583,s4421,s4200,s3724,s14,s2966,s4634,s2010,s3662,s1960,s2002,s79,s3288,s5517,s967,s5145,s1996,s1162,s5495,s2,s4623,s179,s236,s4708,s4203,s5518,s2829,s73,s2046,s1992,s5516,s5447,s5175]) ).
cnf(s5520,plain,
( ~ spl2_298
| spl2_18
| spl2_287 ),
inference(rat,[],[s5446,s3655,s88,s1627,s4511,s3979,s792,s4667,s3529,s2194,s790,s1533,s2736,s5351,s3583,s5443,s5444,s2677,s5519,s28,s236,s179,s4708,s2,s4203,s4623,s5518,s5517,s2064,s967,s1162,s1246,s1229,s5495,s2974,s2745,s5145,s5447,s1970,s2966,s2829,s1992,s2010,s73,s2046,s3662,s1960,s1996,s2002,s5516,s5175]) ).
cnf(s5521,plain,
( spl2_18
| spl2_287 ),
inference(rat,[],[s2942,s1107,s2247,s2224,s2632,s2064,s38,s71,s4247,s3641,s4776,s1888,s3728,s1596,s2238,s2331,s4253,s4666,s1891,s3992,s185,s2127,s3736,s3697,s3682,s4261,s4417,s2157,s4769,s1138,s5520,s335,s1972,s5145,s73,s1322,s1992,s1996,s2002,s2046,s5516,s5495,s5447,s5342,s5175]) ).
cnf(s5522,plain,
( spl2_11
| ~ spl2_300
| ~ spl2_298
| ~ spl2_88
| ~ spl2_18 ),
inference(rat,[],[s5122,s1875,s2191,s1430,s1877,s4294,s3756,s402,s1878,s1895]) ).
cnf(s5523,plain,
( ~ spl2_300
| ~ spl2_298
| ~ spl2_88
| ~ spl2_18 ),
inference(rat,[],[s225,s3187,s1351,s1239,s4778,s301,s1880,s2773,s1317,s1283,s986,s983,s5522,s4209,s5175]) ).
cnf(s5524,plain,
( spl2_11
| ~ spl2_298
| ~ spl2_88
| spl2_287 ),
inference(rat,[],[s853,s1546,s3994,s4334,s2829,s2618,s4666,s2069,s73,s1535,s4448,s792,s1870,s1743,s4697,s4418,s1403,s4165,s1868,s402,s2625,s10,s1895,s1137,s3174,s1078,s1288,s5521,s5342,s2064,s967]) ).
cnf(s5525,plain,
( ~ spl2_298
| ~ spl2_88
| spl2_287 ),
inference(rat,[],[s225,s196,s1351,s80,s4778,s301,s1880,s3408,s1317,s1283,s986,s983,s5524,s1122,s5523,s967,s5521,s5175]) ).
cnf(s5526,plain,
( spl2_11
| ~ spl2_88
| spl2_287 ),
inference(rat,[],[s4261,s1875,s4461,s1877,s4165,s402,s10,s1895,s1137,s5342,s5521,s1138,s5525]) ).
cnf(s5527,plain,
( ~ spl2_88
| spl2_287 ),
inference(rat,[],[s4670,s1434,s1283,s983,s5526,s1138,s5525,s5521]) ).
cnf(s5528,plain,
spl2_287,
inference(rat,[],[s2194,s784,s4393,s4139,s2799,s4544,s3979,s2247,s88,s2632,s4395,s1546,s1371,s4666,s2690,s1287,s1368,s3736,s3682,s3950,s3586,s12,s4768,s1265,s1875,s1286,s1972,s73,s1322,s1992,s2002,s2046,s5527,s1288,s5521,s5342,s5175]) ).
cnf(s5529,plain,
( spl2_11
| ~ spl2_298
| ~ spl2_88
| spl2_18 ),
inference(rat,[],[s1420,s1678,s4660,s3207,s1665,s4656,s4647,s2,s1891,s2172,s1752,s1015,s3975,s3400,s2069,s1893,s4682,s3,s1317,s790,s821,s3976,s1403,s402,s10,s1895,s79,s967,s5528,s5175]) ).
cnf(s5530,plain,
( ~ spl2_274
| ~ spl2_278 ),
inference(rat,[],[s4653,s2661,s4650,s5528]) ).
cnf(s5531,plain,
( spl2_274
| ~ spl2_88 ),
inference(rat,[],[s821,s402,s790,s3419,s5528]) ).
cnf(s5532,plain,
( ~ spl2_88
| spl2_18 ),
inference(rat,[],[s4261,s4460,s4657,s1546,s2064,s1547,s1138,s77,s2070,s5529,s10,s1893,s4682,s3970,s3,s5530,s4650,s1317,s5531,s5528]) ).
cnf(s5533,plain,
spl2_18,
inference(rat,[],[s3697,s1891,s4768,s1972,s3961,s3978,s1992,s1996,s2046,s5532,s5528]) ).
cnf(s5534,plain,
~ spl2_274,
inference(rat,[],[s3970,s5530,s1878,s5528,s5533]) ).
cnf(s5536,plain,
spl2_296,
inference(rat,[],[s790,s5534]) ).
cnf(s5539,plain,
~ spl2_88,
inference(rat,[],[s5531,s5534]) ).
cnf(s5543,plain,
spl2_19,
inference(rat,[],[s980,s5533,s5536]) ).
cnf(s5550,plain,
~ spl2_28,
inference(rat,[],[s2046,s5539]) ).
cnf(s5552,plain,
~ spl2_423,
inference(rat,[],[s1996,s5539]) ).
cnf(s5553,plain,
~ spl2_425,
inference(rat,[],[s1992,s5539]) ).
cnf(s5556,plain,
spl2_7,
inference(rat,[],[s3978,s5528,s5539]) ).
cnf(s5557,plain,
spl2_68,
inference(rat,[],[s3972,s5528,s5539]) ).
cnf(s5558,plain,
spl2_60,
inference(rat,[],[s77,s5543]) ).
cnf(s5569,plain,
~ spl2_280,
inference(rat,[],[s3961,s5528,s5550]) ).
cnf(s5577,plain,
spl2_415,
inference(rat,[],[s1972,s5553]) ).
cnf(s5580,plain,
~ spl2_398,
inference(rat,[],[s4768,s5556,s5553]) ).
cnf(s5587,plain,
~ spl2_80,
inference(rat,[],[s2064,s5558]) ).
cnf(s5600,plain,
~ spl2_446,
inference(rat,[],[s3682,s5557,s5553,s5580]) ).
cnf(s5602,plain,
~ spl2_281,
inference(rat,[],[s3697,s5577,s5552,s5580]) ).
cnf(s5609,plain,
~ spl2_291,
inference(rat,[],[s2690,s5600]) ).
cnf(s5610,plain,
spl2_289,
inference(rat,[],[s3991,s5569,s5602]) ).
cnf(s5617,plain,
spl2_271,
inference(rat,[],[s1546,s5609]) ).
cnf(s5623,plain,
$false,
inference(rat,[],[s853,s5587,s5617,s5610]) ).
thf(f46466,plain,
$false,
inference(avatar_sat_refutation,[],[s5623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA089^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 18:56:09 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.42 % (3577770)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.70/0.42 % (3577780)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2508123500:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.70/0.42 % (3577775)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1086096968:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.70/0.42 % (3577776)lrs+10_16_si=on:nwc=1.5:random_seed=1062161606:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.70/0.42 % (3577777)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4293571861:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.70/0.42 % (3577778)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=1909894546: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)
% 0.70/0.42 % (3577777)Instruction limit reached!
% 0.70/0.42 % (3577777)------------------------------
% 0.70/0.42 % (3577777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3577777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3577777)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3577777)Termination reason: Instruction limit
% 0.70/0.42 % (3577777)Termination phase: Saturation
% 0.70/0.42 % (3577777)Time elapsed: 0.002 s
% 0.70/0.42 % (3577777)Peak memory usage: 12 MB
% 0.70/0.42 % (3577777)Instructions burned: 3 (million)
% 0.70/0.42 % (3577776)Instruction limit reached!
% 0.70/0.42 % (3577776)------------------------------
% 0.70/0.42 % (3577776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3577781)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.70/0.42 % (3577776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3577776)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3577781)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
% 0.70/0.42 % (3577776)Termination reason: Instruction limit
% 0.70/0.42 % (3577776)Termination phase: Saturation
% 0.70/0.42 % (3577776)Time elapsed: 0.011 s
% 0.70/0.42 % (3577776)Peak memory usage: 12 MB
% 0.70/0.42 % (3577776)Instructions burned: 19 (million)
% 0.70/0.42 % (3577781)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=655225923:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.70/0.42 % (3577787)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=245888106:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.42 % (3577779)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1083566044:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.70/0.42 % (3577787)Instruction limit reached!
% 0.70/0.42 % (3577787)------------------------------
% 0.70/0.42 % (3577787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3577787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3577787)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3577787)Termination reason: Instruction limit
% 0.70/0.42 % (3577787)Termination phase: Saturation
% 0.70/0.42 % (3577787)Time elapsed: 0.002 s
% 0.70/0.42 % (3577787)Peak memory usage: 12 MB
% 0.70/0.42 % (3577787)Instructions burned: 3 (million)
% 0.70/0.42 % (3577788)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3044381741:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.70/0.42 % (3577780)Instruction limit reached!
% 0.70/0.42 % (3577780)------------------------------
% 0.70/0.42 % (3577780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3577788)Instruction limit reached!
% 0.70/0.42 % (3577788)------------------------------
% 0.70/0.42 % (3577788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3577788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3577780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.46 % (3577788)CaDiCaL version: 2.1.3
% 0.70/0.46 % (3577780)CaDiCaL version: 2.1.3
% 0.70/0.46 % (3577788)Termination reason: Instruction limit
% 0.70/0.46 % (3577788)Termination phase: Saturation
% 0.70/0.46 % (3577780)Termination reason: Instruction limit
% 0.70/0.46 % (3577780)Termination phase: Saturation
% 0.70/0.46 % (3577788)Time elapsed: 0.003 s
% 0.70/0.46 % (3577780)Time elapsed: 0.034 s
% 0.70/0.46 % (3577788)Peak memory usage: 12 MB
% 0.70/0.46 % (3577780)Peak memory usage: 12 MB
% 0.70/0.46 % (3577780)Instructions burned: 76 (million)
% 0.70/0.46 % (3577788)Instructions burned: 5 (million)
% 0.70/0.46 % (3577775)Instruction limit reached!
% 0.70/0.46 % (3577775)------------------------------
% 0.70/0.46 % (3577775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.46 % (3577775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.46 % (3577775)CaDiCaL version: 2.1.3
% 0.70/0.46 % (3577775)Termination reason: Instruction limit
% 0.70/0.46 % (3577775)Termination phase: Saturation
% 0.70/0.46 % (3577775)Time elapsed: 0.037 s
% 0.70/0.46 % (3577775)Peak memory usage: 12 MB
% 0.70/0.46 % (3577775)Instructions burned: 89 (million)
% 0.70/0.46 % (3577792)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.46 % (3577779)Instruction limit reached!
% 0.70/0.46 % (3577779)------------------------------
% 0.70/0.46 % (3577779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.46 % (3577779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.46 % (3577779)CaDiCaL version: 2.1.3
% 0.70/0.46 % (3577779)Termination reason: Instruction limit
% 0.70/0.46 % (3577779)Termination phase: Saturation
% 0.70/0.46 % (3577779)Time elapsed: 0.026 s
% 0.70/0.46 % (3577779)Peak memory usage: 12 MB
% 0.70/0.46 % (3577779)Instructions burned: 25 (million)
% 0.70/0.46 % (3577792)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2900046807:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.70/0.46 % (3577792)Instruction limit reached!
% 0.70/0.46 % (3577792)------------------------------
% 0.70/0.46 % (3577792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.46 % (3577792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.46 % (3577792)CaDiCaL version: 2.1.3
% 0.70/0.46 % (3577792)Termination reason: Instruction limit
% 0.70/0.46 % (3577792)Termination phase: Saturation
% 0.70/0.46 % (3577792)Time elapsed: 0.005 s
% 0.70/0.46 % (3577792)Peak memory usage: 12 MB
% 0.70/0.46 % (3577792)Instructions burned: 9 (million)
% 0.70/0.46 % (3577794)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1362541922:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.70/0.46 % (3577796)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=1929998611:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.70/0.46 % (3577795)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
% 0.70/0.46 % (3577795)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.46 % (3577795)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1332972248:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.70/0.46 % (3577794)Instruction limit reached!
% 0.70/0.46 % (3577794)------------------------------
% 0.70/0.46 % (3577794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.46 % (3577794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.46 % (3577794)CaDiCaL version: 2.1.3
% 0.70/0.46 % (3577794)Termination reason: Instruction limit
% 0.70/0.46 % (3577794)Termination phase: Saturation
% 0.70/0.46 % (3577794)Time elapsed: 0.008 s
% 0.70/0.46 % (3577794)Peak memory usage: 12 MB
% 0.70/0.46 % (3577794)Instructions burned: 13 (million)
% 0.70/0.46 % (3577797)lrs+10_1_si=on:cs=on:random_seed=3115444170:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.70/0.46 % (3577803)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2025666152:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.70/0.49 % (3577803)Refutation not found, incomplete strategy
% 0.70/0.49 % (3577803)------------------------------
% 0.70/0.49 % (3577803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.49 % (3577803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.49 % (3577803)CaDiCaL version: 2.1.3
% 0.70/0.49 % (3577803)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.49 % (3577803)Time elapsed: 0.001 s
% 0.70/0.49 % (3577803)Peak memory usage: 11 MB
% 0.70/0.49 % (3577803)------------------------------
% 0.70/0.49 % (3577803)------------------------------
% 0.70/0.49 % (3577801)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.70/0.49 % (3577797)Instruction limit reached!
% 0.70/0.49 % (3577797)------------------------------
% 0.70/0.49 % (3577797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.49 % (3577797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.49 % (3577797)CaDiCaL version: 2.1.3
% 0.70/0.49 % (3577797)Termination reason: Instruction limit
% 0.70/0.49 % (3577797)Termination phase: Saturation
% 0.70/0.49 % (3577797)Time elapsed: 0.009 s
% 0.70/0.49 % (3577797)Peak memory usage: 12 MB
% 0.70/0.49 % (3577797)Instructions burned: 8 (million)
% 0.70/0.49 % (3577795)Instruction limit reached!
% 0.70/0.49 % (3577795)------------------------------
% 0.70/0.49 % (3577795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.49 % (3577795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.49 % (3577795)CaDiCaL version: 2.1.3
% 0.70/0.49 % (3577795)Termination reason: Instruction limit
% 0.70/0.49 % (3577795)Termination phase: Saturation
% 0.70/0.49 % (3577795)Time elapsed: 0.030 s
% 0.70/0.49 % (3577795)Peak memory usage: 12 MB
% 0.70/0.49 % (3577795)Instructions burned: 29 (million)
% 0.70/0.49 % (3577801)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=3712656960:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.49 % (3577801)Instruction limit reached!
% 0.70/0.49 % (3577801)------------------------------
% 0.70/0.49 % (3577801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.49 % (3577801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.49 % (3577801)CaDiCaL version: 2.1.3
% 0.70/0.49 % (3577801)Termination reason: Instruction limit
% 0.70/0.49 % (3577801)Termination phase: Saturation
% 0.70/0.49 % (3577801)Time elapsed: 0.002 s
% 0.70/0.49 % (3577801)Peak memory usage: 11 MB
% 0.70/0.49 % (3577801)Instructions burned: 3 (million)
% 0.70/0.49 % (3577806)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2559320540:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.70/0.49 % (3577806)Refutation not found, incomplete strategy
% 0.70/0.49 % (3577806)------------------------------
% 0.70/0.49 % (3577806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.49 % (3577806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.49 % (3577806)CaDiCaL version: 2.1.3
% 0.70/0.49 % (3577806)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.49 % (3577806)Time elapsed: 0.001 s
% 0.70/0.49 % (3577806)Peak memory usage: 11 MB
% 0.70/0.49 % (3577806)------------------------------
% 0.70/0.49 % (3577806)------------------------------
% 0.70/0.49 % (3577807)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1383207438:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.70/0.49 % (3577807)Refutation not found, incomplete strategy
% 0.70/0.49 % (3577807)------------------------------
% 0.70/0.49 % (3577807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.49 % (3577807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.49 % (3577807)CaDiCaL version: 2.1.3
% 0.70/0.49 % (3577807)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.49 % (3577807)Time elapsed: 0.001 s
% 0.70/0.49 % (3577807)Peak memory usage: 11 MB
% 0.70/0.49 % (3577807)------------------------------
% 0.70/0.49 % (3577807)------------------------------
% 1.26/0.54 % (3577809)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=199208974:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.54 % (3577812)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4080804584:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.54 % (3577809)Instruction limit reached!
% 1.26/0.54 % (3577809)------------------------------
% 1.26/0.54 % (3577809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3577809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3577809)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3577809)Termination reason: Instruction limit
% 1.26/0.54 % (3577809)Termination phase: Saturation
% 1.26/0.54 % (3577809)Time elapsed: 0.009 s
% 1.26/0.54 % (3577809)Peak memory usage: 12 MB
% 1.26/0.54 % (3577809)Instructions burned: 14 (million)
% 1.26/0.54 % (3577781)Instruction limit reached!
% 1.26/0.54 % (3577781)------------------------------
% 1.26/0.54 % (3577781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3577781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3577781)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3577781)Termination reason: Instruction limit
% 1.26/0.54 % (3577781)Termination phase: Saturation
% 1.26/0.54 % (3577781)Time elapsed: 0.120 s
% 1.26/0.54 % (3577781)Peak memory usage: 12 MB
% 1.26/0.54 % (3577781)Instructions burned: 158 (million)
% 1.26/0.54 % (3577812)Instruction limit reached!
% 1.26/0.54 % (3577812)------------------------------
% 1.26/0.54 % (3577812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3577812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3577812)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3577812)Termination reason: Instruction limit
% 1.26/0.54 % (3577812)Termination phase: Saturation
% 1.26/0.54 % (3577812)Time elapsed: 0.008 s
% 1.26/0.54 % (3577812)Peak memory usage: 12 MB
% 1.26/0.54 % (3577812)Instructions burned: 14 (million)
% 1.26/0.54 % (3577796)Instruction limit reached!
% 1.26/0.54 % (3577796)------------------------------
% 1.26/0.54 % (3577796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3577796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3577796)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3577796)Termination reason: Instruction limit
% 1.26/0.54 % (3577796)Termination phase: Saturation
% 1.26/0.54 % (3577796)Time elapsed: 0.076 s
% 1.26/0.54 % (3577796)Peak memory usage: 12 MB
% 1.26/0.54 % (3577796)Instructions burned: 86 (million)
% 1.26/0.54 % (3577810)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2164493349:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.26/0.54 % (3577814)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2106489333:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.26/0.54 % (3577810)Refutation not found, incomplete strategy
% 1.26/0.54 % (3577810)------------------------------
% 1.26/0.54 % (3577810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3577810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3577810)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3577810)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.54 % (3577810)Time elapsed: 0.002 s
% 1.26/0.54 % (3577810)Peak memory usage: 11 MB
% 1.26/0.54 % (3577810)Instructions burned: 1 (million)
% 1.26/0.54 % (3577814)Refutation not found, incomplete strategy
% 1.26/0.54 % (3577814)------------------------------
% 1.26/0.54 % (3577814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3577814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3577814)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3577814)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.54 % (3577814)Time elapsed: 0.001 s
% 1.26/0.54 % (3577814)Peak memory usage: 11 MB
% 1.26/0.54 % (3577810)------------------------------
% 1.26/0.54 % (3577810)------------------------------
% 1.26/0.54 % (3577814)------------------------------
% 1.26/0.54 % (3577814)------------------------------
% 1.26/0.54 % (3577817)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1328153031:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.57 % (3577818)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2836834981:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.57 % (3577817)Instruction limit reached!
% 1.26/0.57 % (3577817)------------------------------
% 1.26/0.57 % (3577817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.57 % (3577817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.57 % (3577817)CaDiCaL version: 2.1.3
% 1.26/0.57 % (3577817)Termination reason: Instruction limit
% 1.26/0.57 % (3577817)Termination phase: Saturation
% 1.26/0.57 % (3577817)Time elapsed: 0.008 s
% 1.26/0.57 % (3577817)Peak memory usage: 12 MB
% 1.26/0.57 % (3577817)Instructions burned: 29 (million)
% 1.26/0.57 % (3577823)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.26/0.57 % (3577823)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=3291970983:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.26/0.57 % (3577819)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3107828129:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.26/0.57 % (3577828)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2482953781:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.26/0.57 % (3577818)Instruction limit reached!
% 1.26/0.57 % (3577818)------------------------------
% 1.26/0.57 % (3577818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.57 % (3577818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.57 % (3577818)CaDiCaL version: 2.1.3
% 1.26/0.57 % (3577818)Termination reason: Instruction limit
% 1.26/0.57 % (3577818)Termination phase: Saturation
% 1.26/0.57 % (3577818)Time elapsed: 0.011 s
% 1.26/0.57 % (3577818)Peak memory usage: 11 MB
% 1.26/0.57 % (3577818)Instructions burned: 25 (million)
% 1.26/0.57 % (3577823)Instruction limit reached!
% 1.26/0.57 % (3577823)------------------------------
% 1.26/0.57 % (3577823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.57 % (3577828)Instruction limit reached!
% 1.26/0.57 % (3577828)------------------------------
% 1.26/0.57 % (3577828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.57 % (3577828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.57 % (3577828)CaDiCaL version: 2.1.3
% 1.26/0.57 % (3577828)Termination reason: Instruction limit
% 1.26/0.57 % (3577828)Termination phase: Saturation
% 1.26/0.57 % (3577828)Time elapsed: 0.002 s
% 1.26/0.57 % (3577828)Peak memory usage: 12 MB
% 1.26/0.57 % (3577823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.57 % (3577828)Instructions burned: 8 (million)
% 1.26/0.57 % (3577823)CaDiCaL version: 2.1.3
% 1.26/0.57 % (3577823)Termination reason: Instruction limit
% 1.26/0.57 % (3577823)Termination phase: Saturation
% 1.26/0.57 % (3577823)Time elapsed: 0.005 s
% 1.26/0.57 % (3577823)Peak memory usage: 12 MB
% 1.26/0.57 % (3577823)Instructions burned: 8 (million)
% 1.26/0.57 % (3577821)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.26/0.57 % (3577821)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.26/0.57 % (3577833)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3800803219:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.26/0.57 % (3577824)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=3925394411:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.26/0.57 % (3577821)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=3704213628:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.57 % (3577832)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2014434365:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.95/0.65 % (3577833)Instruction limit reached!
% 1.95/0.65 % (3577833)------------------------------
% 1.95/0.65 % (3577833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.65 % (3577833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.65 % (3577833)CaDiCaL version: 2.1.3
% 1.95/0.65 % (3577833)Termination reason: Instruction limit
% 1.95/0.65 % (3577833)Termination phase: Saturation
% 1.95/0.65 % (3577833)Time elapsed: 0.007 s
% 1.95/0.65 % (3577833)Peak memory usage: 12 MB
% 1.95/0.65 % (3577833)Instructions burned: 20 (million)
% 1.95/0.65 % (3577834)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2594701073:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.95/0.65 % (3577832)Instruction limit reached!
% 1.95/0.65 % (3577832)------------------------------
% 1.95/0.65 % (3577832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.65 % (3577832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.65 % (3577832)CaDiCaL version: 2.1.3
% 1.95/0.65 % (3577832)Termination reason: Instruction limit
% 1.95/0.65 % (3577832)Termination phase: Saturation
% 1.95/0.65 % (3577832)Time elapsed: 0.010 s
% 1.95/0.65 % (3577832)Peak memory usage: 11 MB
% 1.95/0.65 % (3577832)Instructions burned: 23 (million)
% 1.95/0.65 % (3577839)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3253249837:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.95/0.65 % (3577821)Instruction limit reached!
% 1.95/0.65 % (3577821)------------------------------
% 1.95/0.65 % (3577821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.65 % (3577821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.65 % (3577821)CaDiCaL version: 2.1.3
% 1.95/0.65 % (3577821)Termination reason: Instruction limit
% 1.95/0.65 % (3577821)Termination phase: Saturation
% 1.95/0.65 % (3577821)Time elapsed: 0.016 s
% 1.95/0.65 % (3577821)Peak memory usage: 12 MB
% 1.95/0.65 % (3577821)Instructions burned: 15 (million)
% 1.95/0.65 % (3577824)Instruction limit reached!
% 1.95/0.65 % (3577824)------------------------------
% 1.95/0.65 % (3577824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.65 % (3577824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.65 % (3577824)CaDiCaL version: 2.1.3
% 1.95/0.65 % (3577824)Termination reason: Instruction limit
% 1.95/0.65 % (3577824)Termination phase: Saturation
% 1.95/0.65 % (3577824)Time elapsed: 0.024 s
% 1.95/0.65 % (3577824)Peak memory usage: 12 MB
% 1.95/0.65 % (3577824)Instructions burned: 33 (million)
% 1.95/0.65 % (3577819)Instruction limit reached!
% 1.95/0.65 % (3577819)------------------------------
% 1.95/0.65 % (3577819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.65 % (3577819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.65 % (3577819)CaDiCaL version: 2.1.3
% 1.95/0.65 % (3577819)Termination reason: Instruction limit
% 1.95/0.65 % (3577819)Termination phase: Saturation
% 1.95/0.65 % (3577819)Time elapsed: 0.054 s
% 1.95/0.65 % (3577819)Peak memory usage: 12 MB
% 1.95/0.65 % (3577819)Instructions burned: 61 (million)
% 1.95/0.65 % (3577841)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4051188620:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.95/0.65 % (3577841)Refutation not found, incomplete strategy
% 1.95/0.65 % (3577841)------------------------------
% 1.95/0.65 % (3577841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.65 % (3577841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.65 % (3577841)CaDiCaL version: 2.1.3
% 1.95/0.65 % (3577841)Termination reason: Refutation not found, incomplete strategy
% 1.95/0.65 % (3577841)Time elapsed: 0.001 s
% 1.95/0.65 % (3577841)Peak memory usage: 11 MB
% 1.95/0.65 % (3577841)Instructions burned: 1 (million)
% 1.95/0.65 % (3577841)------------------------------
% 1.95/0.65 % (3577841)------------------------------
% 1.95/0.65 % (3577846)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4019571290:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.95/0.65 % (3577844)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.39/0.72 % (3577846)Refutation not found, incomplete strategy
% 2.39/0.72 % (3577846)------------------------------
% 2.39/0.72 % (3577846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.72 % (3577846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.72 % (3577846)CaDiCaL version: 2.1.3
% 2.39/0.72 % (3577846)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.72 % (3577846)Time elapsed: 0.0000 s
% 2.39/0.72 % (3577846)Peak memory usage: 11 MB
% 2.39/0.72 % (3577846)Instructions burned: 1 (million)
% 2.39/0.72 % (3577846)------------------------------
% 2.39/0.72 % (3577846)------------------------------
% 2.39/0.72 % (3577843)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3992108850:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.39/0.72 % (3577844)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2003415011:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.39/0.72 % (3577839)Instruction limit reached!
% 2.39/0.72 % (3577839)------------------------------
% 2.39/0.72 % (3577839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.72 % (3577839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.72 % (3577839)CaDiCaL version: 2.1.3
% 2.39/0.72 % (3577839)Termination reason: Instruction limit
% 2.39/0.72 % (3577839)Termination phase: Saturation
% 2.39/0.72 % (3577839)Time elapsed: 0.044 s
% 2.39/0.72 % (3577839)Peak memory usage: 12 MB
% 2.39/0.72 % (3577839)Instructions burned: 144 (million)
% 2.39/0.72 % (3577847)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=1438834542:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.39/0.72 % (3577849)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.39/0.72 % (3577847)Refutation not found, incomplete strategy
% 2.39/0.72 % (3577847)------------------------------
% 2.39/0.72 % (3577847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.72 % (3577847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.72 % (3577847)CaDiCaL version: 2.1.3
% 2.39/0.72 % (3577847)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.72 % (3577847)Time elapsed: 0.001 s
% 2.39/0.72 % (3577847)Peak memory usage: 11 MB
% 2.39/0.72 % (3577847)Instructions burned: 1 (million)
% 2.39/0.72 % (3577847)------------------------------
% 2.39/0.72 % (3577847)------------------------------
% 2.39/0.72 % (3577849)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2494853548:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.39/0.72 % (3577844)Instruction limit reached!
% 2.39/0.72 % (3577844)------------------------------
% 2.39/0.72 % (3577844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.72 % (3577844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.72 % (3577844)CaDiCaL version: 2.1.3
% 2.39/0.72 % (3577844)Termination reason: Instruction limit
% 2.39/0.72 % (3577844)Termination phase: Saturation
% 2.39/0.72 % (3577844)Time elapsed: 0.009 s
% 2.39/0.72 % (3577844)Peak memory usage: 12 MB
% 2.39/0.72 % (3577844)Instructions burned: 9 (million)
% 2.39/0.72 % (3577849)Refutation not found, incomplete strategy
% 2.39/0.72 % (3577849)------------------------------
% 2.39/0.72 % (3577849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.72 % (3577849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.72 % (3577849)CaDiCaL version: 2.1.3
% 2.39/0.72 % (3577849)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.72 % (3577849)Time elapsed: 0.001 s
% 2.39/0.72 % (3577849)Peak memory usage: 11 MB
% 2.39/0.72 % (3577849)Instructions burned: 1 (million)
% 2.39/0.72 % (3577849)------------------------------
% 2.39/0.72 % (3577849)------------------------------
% 2.39/0.72 % (3577853)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=596582907:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.39/0.72 % (3577856)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=2921501246:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.39/0.79 % (3577854)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=545827347:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.39/0.79 % (3577854)Refutation not found, incomplete strategy
% 2.39/0.79 % (3577854)------------------------------
% 2.39/0.79 % (3577854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.79 % (3577854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.79 % (3577854)CaDiCaL version: 2.1.3
% 2.39/0.79 % (3577854)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.79 % (3577854)Time elapsed: 0.002 s
% 2.39/0.79 % (3577854)Peak memory usage: 12 MB
% 2.39/0.79 % (3577854)Instructions burned: 3 (million)
% 2.39/0.79 % (3577854)------------------------------
% 2.39/0.79 % (3577854)------------------------------
% 2.39/0.79 % (3577853)Instruction limit reached!
% 2.39/0.79 % (3577853)------------------------------
% 2.39/0.79 % (3577853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.79 % (3577853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.79 % (3577853)CaDiCaL version: 2.1.3
% 2.39/0.79 % (3577853)Termination reason: Instruction limit
% 2.39/0.79 % (3577853)Termination phase: Saturation
% 2.39/0.79 % (3577853)Time elapsed: 0.020 s
% 2.39/0.79 % (3577853)Peak memory usage: 12 MB
% 2.39/0.79 % (3577853)Instructions burned: 23 (million)
% 2.39/0.79 % (3577843)Instruction limit reached!
% 2.39/0.79 % (3577843)------------------------------
% 2.39/0.79 % (3577843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.79 % (3577843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.79 % (3577843)CaDiCaL version: 2.1.3
% 2.39/0.79 % (3577843)Termination reason: Instruction limit
% 2.39/0.79 % (3577843)Termination phase: Saturation
% 2.39/0.79 % (3577843)Time elapsed: 0.044 s
% 2.39/0.79 % (3577843)Peak memory usage: 12 MB
% 2.39/0.79 % (3577843)Instructions burned: 43 (million)
% 2.39/0.79 % (3577857)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=481688589:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.39/0.79 % (3577861)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=4121026235:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.39/0.79 % (3577862)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4092485236:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.39/0.79 % (3577862)Refutation not found, incomplete strategy
% 2.39/0.79 % (3577862)------------------------------
% 2.39/0.79 % (3577862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.79 % (3577862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.79 % (3577862)CaDiCaL version: 2.1.3
% 2.39/0.79 % (3577862)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.79 % (3577862)Time elapsed: 0.001 s
% 2.39/0.79 % (3577862)Peak memory usage: 12 MB
% 2.39/0.79 % (3577862)Instructions burned: 1 (million)
% 2.39/0.79 % (3577862)------------------------------
% 2.39/0.79 % (3577862)------------------------------
% 2.39/0.79 % (3577863)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3729857130:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.39/0.79 % (3577867)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.39/0.79 % (3577867)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3268880125:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.39/0.79 % (3577861)Instruction limit reached!
% 2.39/0.79 % (3577861)------------------------------
% 2.39/0.79 % (3577861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.79 % (3577861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577861)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577861)Termination reason: Instruction limit
% 2.92/0.84 % (3577861)Termination phase: Saturation
% 2.92/0.84 % (3577861)Time elapsed: 0.042 s
% 2.92/0.84 % (3577861)Peak memory usage: 12 MB
% 2.92/0.84 % (3577861)Instructions burned: 46 (million)
% 2.92/0.84 % (3577863)Instruction limit reached!
% 2.92/0.84 % (3577863)------------------------------
% 2.92/0.84 % (3577863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.84 % (3577863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577863)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577863)Termination reason: Instruction limit
% 2.92/0.84 % (3577863)Termination phase: Saturation
% 2.92/0.84 % (3577863)Time elapsed: 0.024 s
% 2.92/0.84 % (3577863)Peak memory usage: 12 MB
% 2.92/0.84 % (3577863)Instructions burned: 21 (million)
% 2.92/0.84 % (3577870)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=429480604:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.92/0.84 % (3577871)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=931439102:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.92/0.84 % (3577870)Instruction limit reached!
% 2.92/0.84 % (3577870)------------------------------
% 2.92/0.84 % (3577870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.84 % (3577870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577870)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577870)Termination reason: Instruction limit
% 2.92/0.84 % (3577870)Termination phase: Saturation
% 2.92/0.84 % (3577870)Time elapsed: 0.009 s
% 2.92/0.84 % (3577870)Peak memory usage: 12 MB
% 2.92/0.84 % (3577870)Instructions burned: 13 (million)
% 2.92/0.84 % (3577856)Instruction limit reached!
% 2.92/0.84 % (3577856)------------------------------
% 2.92/0.84 % (3577856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.84 % (3577856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577856)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577856)Termination reason: Instruction limit
% 2.92/0.84 % (3577856)Termination phase: Saturation
% 2.92/0.84 % (3577856)Time elapsed: 0.113 s
% 2.92/0.84 % (3577856)Peak memory usage: 13 MB
% 2.92/0.84 % (3577856)Instructions burned: 318 (million)
% 2.92/0.84 % (3577871)Instruction limit reached!
% 2.92/0.84 % (3577871)------------------------------
% 2.92/0.84 % (3577871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.84 % (3577871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577871)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577871)Termination reason: Instruction limit
% 2.92/0.84 % (3577871)Termination phase: Saturation
% 2.92/0.84 % (3577871)Time elapsed: 0.031 s
% 2.92/0.84 % (3577871)Peak memory usage: 12 MB
% 2.92/0.84 % (3577871)Instructions burned: 68 (million)
% 2.92/0.84 % (3577867)Instruction limit reached!
% 2.92/0.84 % (3577867)------------------------------
% 2.92/0.84 % (3577867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.84 % (3577867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577867)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577867)Termination reason: Instruction limit
% 2.92/0.84 % (3577867)Termination phase: Saturation
% 2.92/0.84 % (3577867)Time elapsed: 0.074 s
% 2.92/0.84 % (3577867)Peak memory usage: 12 MB
% 2.92/0.84 % (3577867)Instructions burned: 200 (million)
% 2.92/0.84 % (3577874)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3599256795:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.92/0.84 % (3577874)Refutation not found, incomplete strategy
% 2.92/0.84 % (3577874)------------------------------
% 2.92/0.84 % (3577874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.84 % (3577874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.84 % (3577874)CaDiCaL version: 2.1.3
% 2.92/0.84 % (3577874)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.84 % (3577874)Time elapsed: 0.002 s
% 2.92/0.84 % (3577874)Peak memory usage: 12 MB
% 2.92/0.84 % (3577874)Instructions burned: 2 (million)
% 2.92/0.84 % (3577874)------------------------------
% 2.92/0.84 % (3577874)------------------------------
% 2.92/0.84 % (3577875)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=763800145:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.40/0.91 % (3577877)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=3978636361:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.40/0.91 % (3577876)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=978409424:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.40/0.91 % (3577778)Instruction limit reached!
% 3.40/0.91 % (3577778)------------------------------
% 3.40/0.91 % (3577778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.91 % (3577778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.91 % (3577778)CaDiCaL version: 2.1.3
% 3.40/0.91 % (3577778)Termination reason: Instruction limit
% 3.40/0.91 % (3577778)Termination phase: Saturation
% 3.40/0.91 % (3577778)Time elapsed: 0.445 s
% 3.40/0.91 % (3577778)Peak memory usage: 13 MB
% 3.40/0.91 % (3577778)Instructions burned: 634 (million)
% 3.40/0.91 % (3577877)Instruction limit reached!
% 3.40/0.91 % (3577877)------------------------------
% 3.40/0.91 % (3577877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.91 % (3577877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.91 % (3577877)CaDiCaL version: 2.1.3
% 3.40/0.91 % (3577877)Termination reason: Instruction limit
% 3.40/0.91 % (3577877)Termination phase: Saturation
% 3.40/0.91 % (3577877)Time elapsed: 0.019 s
% 3.40/0.91 % (3577877)Peak memory usage: 12 MB
% 3.40/0.91 % (3577877)Instructions burned: 34 (million)
% 3.40/0.91 % (3577879)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3254463691:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.40/0.91 % (3577875)Instruction limit reached!
% 3.40/0.91 % (3577875)------------------------------
% 3.40/0.91 % (3577875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.91 % (3577875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.91 % (3577875)CaDiCaL version: 2.1.3
% 3.40/0.91 % (3577875)Termination reason: Instruction limit
% 3.40/0.91 % (3577875)Termination phase: Saturation
% 3.40/0.91 % (3577875)Time elapsed: 0.036 s
% 3.40/0.91 % (3577875)Peak memory usage: 12 MB
% 3.40/0.91 % (3577875)Instructions burned: 32 (million)
% 3.40/0.91 % (3577879)Refutation not found, incomplete strategy
% 3.40/0.91 % (3577879)------------------------------
% 3.40/0.91 % (3577879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.91 % (3577879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.91 % (3577879)CaDiCaL version: 2.1.3
% 3.40/0.91 % (3577879)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.91 % (3577879)Time elapsed: 0.006 s
% 3.40/0.91 % (3577879)Peak memory usage: 12 MB
% 3.40/0.91 % (3577879)Instructions burned: 2 (million)
% 3.40/0.91 % (3577879)------------------------------
% 3.40/0.91 % (3577879)------------------------------
% 3.40/0.91 % (3577884)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3136132247:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.40/0.91 % (3577884)Refutation not found, incomplete strategy
% 3.40/0.91 % (3577884)------------------------------
% 3.40/0.91 % (3577884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.91 % (3577884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.91 % (3577884)CaDiCaL version: 2.1.3
% 3.40/0.91 % (3577884)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.91 % (3577884)Time elapsed: 0.001 s
% 3.40/0.91 % (3577884)Peak memory usage: 11 MB
% 3.40/0.91 % (3577884)Instructions burned: 1 (million)
% 3.40/0.91 % (3577884)------------------------------
% 3.40/0.91 % (3577884)------------------------------
% 3.40/0.91 % (3577883)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.40/0.91 % (3577883)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3148504771:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.40/0.91 % (3577889)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4167056917:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.40/0.91 % (3577889)Refutation not found, incomplete strategy
% 3.40/0.95 % (3577889)------------------------------
% 3.40/0.95 % (3577889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.95 % (3577889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.95 % (3577889)CaDiCaL version: 2.1.3
% 3.40/0.95 % (3577889)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.95 % (3577889)Time elapsed: 0.001 s
% 3.40/0.95 % (3577889)Peak memory usage: 11 MB
% 3.40/0.95 % (3577889)Instructions burned: 1 (million)
% 3.40/0.95 % (3577889)------------------------------
% 3.40/0.95 % (3577889)------------------------------
% 3.40/0.95 % (3577887)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=832726473:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.40/0.95 % (3577886)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2870254660:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.40/0.95 % (3577887)Refutation not found, incomplete strategy
% 3.40/0.95 % (3577887)------------------------------
% 3.40/0.95 % (3577887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.95 % (3577887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.95 % (3577887)CaDiCaL version: 2.1.3
% 3.40/0.95 % (3577887)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.95 % (3577887)Time elapsed: 0.001 s
% 3.40/0.95 % (3577887)Peak memory usage: 11 MB
% 3.40/0.95 % (3577887)Instructions burned: 1 (million)
% 3.40/0.95 % (3577887)------------------------------
% 3.40/0.95 % (3577887)------------------------------
% 3.40/0.95 % (3577876)Instruction limit reached!
% 3.40/0.95 % (3577876)------------------------------
% 3.40/0.95 % (3577876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.95 % (3577876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.95 % (3577876)CaDiCaL version: 2.1.3
% 3.40/0.95 % (3577876)Termination reason: Instruction limit
% 3.40/0.95 % (3577876)Termination phase: Saturation
% 3.40/0.95 % (3577876)Time elapsed: 0.074 s
% 3.40/0.95 % (3577876)Peak memory usage: 13 MB
% 3.40/0.95 % (3577876)Instructions burned: 137 (million)
% 3.40/0.95 % (3577895)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1693323803:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.40/0.95 % (3577895)Refutation not found, incomplete strategy
% 3.40/0.95 % (3577895)------------------------------
% 3.40/0.95 % (3577895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.95 % (3577895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.95 % (3577895)CaDiCaL version: 2.1.3
% 3.40/0.95 % (3577895)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.95 % (3577895)Time elapsed: 0.001 s
% 3.40/0.95 % (3577895)Peak memory usage: 11 MB
% 3.40/0.95 % (3577895)Instructions burned: 1 (million)
% 3.40/0.95 % (3577895)------------------------------
% 3.40/0.95 % (3577895)------------------------------
% 3.40/0.95 % (3577892)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2873234764:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.40/0.95 % (3577892)Refutation not found, incomplete strategy
% 3.40/0.95 % (3577892)------------------------------
% 3.40/0.95 % (3577892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.95 % (3577892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.95 % (3577892)CaDiCaL version: 2.1.3
% 3.40/0.95 % (3577892)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.95 % (3577892)Time elapsed: 0.002 s
% 3.40/0.95 % (3577892)Peak memory usage: 12 MB
% 3.40/0.95 % (3577892)Instructions burned: 1 (million)
% 3.40/0.95 % (3577892)------------------------------
% 3.40/0.95 % (3577892)------------------------------
% 3.40/0.95 % (3577896)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1226689308:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.40/0.95 % (3577898)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1278640956:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.40/0.95 % (3577898)Refutation not found, incomplete strategy
% 3.40/0.95 % (3577898)------------------------------
% 3.40/0.95 % (3577898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.95 % (3577898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.02 % (3577898)CaDiCaL version: 2.1.3
% 3.40/1.02 % (3577898)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.02 % (3577898)Time elapsed: 0.001 s
% 3.40/1.02 % (3577898)Peak memory usage: 12 MB
% 3.40/1.02 % (3577898)Instructions burned: 1 (million)
% 3.40/1.02 % (3577898)------------------------------
% 3.40/1.02 % (3577898)------------------------------
% 3.40/1.02 % (3577886)Instruction limit reached!
% 3.40/1.02 % (3577886)------------------------------
% 3.40/1.02 % (3577886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/1.02 % (3577886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.02 % (3577886)CaDiCaL version: 2.1.3
% 3.40/1.02 % (3577886)Termination reason: Instruction limit
% 3.40/1.02 % (3577886)Termination phase: Saturation
% 3.40/1.02 % (3577886)Time elapsed: 0.051 s
% 3.40/1.02 % (3577886)Peak memory usage: 12 MB
% 3.40/1.02 % (3577886)Instructions burned: 97 (million)
% 3.40/1.02 % (3577896)Instruction limit reached!
% 3.40/1.02 % (3577896)------------------------------
% 3.40/1.02 % (3577896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/1.02 % (3577896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.02 % (3577896)CaDiCaL version: 2.1.3
% 3.40/1.02 % (3577896)Termination reason: Instruction limit
% 3.40/1.02 % (3577896)Termination phase: Saturation
% 3.40/1.02 % (3577896)Time elapsed: 0.022 s
% 3.40/1.02 % (3577896)Peak memory usage: 12 MB
% 3.40/1.02 % (3577896)Instructions burned: 46 (million)
% 3.40/1.02 % (3577900)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=710711265:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.40/1.02 % (3577903)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=955826491:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.40/1.02 % (3577883)Instruction limit reached!
% 3.40/1.02 % (3577883)------------------------------
% 3.40/1.02 % (3577883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/1.02 % (3577883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.02 % (3577883)CaDiCaL version: 2.1.3
% 3.40/1.02 % (3577883)Termination reason: Instruction limit
% 3.40/1.02 % (3577883)Termination phase: Saturation
% 3.40/1.02 % (3577883)Time elapsed: 0.086 s
% 3.40/1.02 % (3577883)Peak memory usage: 12 MB
% 3.40/1.02 % (3577883)Instructions burned: 180 (million)
% 3.40/1.02 % (3577905)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=1544928891:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2994 on theBenchmark for (2994ds/105Mi)
% 3.40/1.02 % (3577904)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=2059976763:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.40/1.02 % (3577908)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=965094313:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.40/1.02 % (3577908)Refutation not found, incomplete strategy
% 3.40/1.02 % (3577908)------------------------------
% 3.40/1.02 % (3577908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/1.02 % (3577908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.02 % (3577908)CaDiCaL version: 2.1.3
% 3.40/1.02 % (3577908)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.02 % (3577908)Time elapsed: 0.001 s
% 3.40/1.02 % (3577908)Peak memory usage: 12 MB
% 3.40/1.02 % (3577908)Instructions burned: 1 (million)
% 3.40/1.02 % (3577908)------------------------------
% 3.40/1.02 % (3577908)------------------------------
% 3.40/1.02 % (3577903)Instruction limit reached!
% 3.40/1.02 % (3577903)------------------------------
% 3.40/1.02 % (3577903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/1.02 % (3577903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.02 % (3577903)CaDiCaL version: 2.1.3
% 3.40/1.02 % (3577903)Termination reason: Instruction limit
% 5.25/1.15 % (3577903)Termination phase: Saturation
% 5.25/1.15 % (3577903)Time elapsed: 0.042 s
% 5.25/1.15 % (3577903)Peak memory usage: 12 MB
% 5.25/1.15 % (3577903)Instructions burned: 95 (million)
% 5.25/1.15 % (3577912)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2791004455:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.25/1.15 % (3577912)Refutation not found, incomplete strategy
% 5.25/1.15 % (3577912)------------------------------
% 5.25/1.15 % (3577912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.15 % (3577912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.15 % (3577912)CaDiCaL version: 2.1.3
% 5.25/1.15 % (3577912)Termination reason: Refutation not found, incomplete strategy
% 5.25/1.15 % (3577912)Time elapsed: 0.001 s
% 5.25/1.15 % (3577912)Peak memory usage: 11 MB
% 5.25/1.15 % (3577912)------------------------------
% 5.25/1.15 % (3577912)------------------------------
% 5.25/1.15 % (3577913)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1057361529:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.25/1.15 % (3577857)Instruction limit reached!
% 5.25/1.15 % (3577857)------------------------------
% 5.25/1.15 % (3577857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.15 % (3577857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.15 % (3577857)CaDiCaL version: 2.1.3
% 5.25/1.15 % (3577857)Termination reason: Instruction limit
% 5.25/1.15 % (3577857)Termination phase: Saturation
% 5.25/1.15 % (3577857)Time elapsed: 0.326 s
% 5.25/1.15 % (3577857)Peak memory usage: 13 MB
% 5.25/1.15 % (3577857)Instructions burned: 853 (million)
% 5.25/1.15 % (3577905)Instruction limit reached!
% 5.25/1.15 % (3577905)------------------------------
% 5.25/1.15 % (3577905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.15 % (3577905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.15 % (3577905)CaDiCaL version: 2.1.3
% 5.25/1.15 % (3577905)Termination reason: Instruction limit
% 5.25/1.15 % (3577905)Termination phase: Saturation
% 5.25/1.15 % (3577905)Time elapsed: 0.058 s
% 5.25/1.15 % (3577905)Peak memory usage: 12 MB
% 5.25/1.15 % (3577905)Instructions burned: 105 (million)
% 5.25/1.15 % (3577915)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=3629745083:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.25/1.15 % (3577834)Instruction limit reached!
% 5.25/1.15 % (3577834)------------------------------
% 5.25/1.15 % (3577834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.15 % (3577834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.15 % (3577834)CaDiCaL version: 2.1.3
% 5.25/1.15 % (3577834)Termination reason: Instruction limit
% 5.25/1.15 % (3577834)Termination phase: Saturation
% 5.25/1.15 % (3577834)Time elapsed: 0.432 s
% 5.25/1.15 % (3577834)Peak memory usage: 13 MB
% 5.25/1.15 % (3577834)Instructions burned: 1242 (million)
% 5.25/1.15 % (3577904)Instruction limit reached!
% 5.25/1.15 % (3577904)------------------------------
% 5.25/1.15 % (3577904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.15 % (3577904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.15 % (3577904)CaDiCaL version: 2.1.3
% 5.25/1.15 % (3577904)Termination reason: Instruction limit
% 5.25/1.15 % (3577904)Termination phase: Saturation
% 5.25/1.15 % (3577904)Time elapsed: 0.050 s
% 5.25/1.15 % (3577904)Peak memory usage: 12 MB
% 5.25/1.15 % (3577904)Instructions burned: 66 (million)
% 5.25/1.15 % (3577918)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=891046664:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.25/1.15 % (3577920)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=242553176:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.25/1.15 % (3577918)Refutation not found, incomplete strategy
% 5.25/1.15 % (3577918)------------------------------
% 5.25/1.15 % (3577918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.15 % (3577918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.15 % (3577918)CaDiCaL version: 2.1.3
% 5.47/1.20 % (3577918)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.20 % (3577918)Time elapsed: 0.001 s
% 5.47/1.20 % (3577918)Peak memory usage: 11 MB
% 5.47/1.20 % (3577915)Instruction limit reached!
% 5.47/1.20 % (3577915)------------------------------
% 5.47/1.20 % (3577915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.20 % (3577915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.20 % (3577915)CaDiCaL version: 2.1.3
% 5.47/1.20 % (3577915)Termination reason: Instruction limit
% 5.47/1.20 % (3577915)Termination phase: Saturation
% 5.47/1.20 % (3577915)Time elapsed: 0.019 s
% 5.47/1.20 % (3577915)Peak memory usage: 12 MB
% 5.47/1.20 % (3577915)Instructions burned: 35 (million)
% 5.47/1.20 % (3577918)------------------------------
% 5.47/1.20 % (3577918)------------------------------
% 5.47/1.20 % (3577922)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=3916845363:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.47/1.20 % (3577917)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4287606147:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.47/1.20 % (3577920)Instruction limit reached!
% 5.47/1.20 % (3577920)------------------------------
% 5.47/1.20 % (3577920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.20 % (3577920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.20 % (3577920)CaDiCaL version: 2.1.3
% 5.47/1.20 % (3577920)Termination reason: Instruction limit
% 5.47/1.20 % (3577920)Termination phase: Saturation
% 5.47/1.20 % (3577920)Time elapsed: 0.011 s
% 5.47/1.20 % (3577920)Peak memory usage: 12 MB
% 5.47/1.20 % (3577920)Instructions burned: 22 (million)
% 5.47/1.20 % (3577926)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.47/1.20 % (3577925)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2423909989:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.47/1.20 % (3577926)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=309836905:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.47/1.20 % (3577925)Refutation not found, incomplete strategy
% 5.47/1.20 % (3577925)------------------------------
% 5.47/1.20 % (3577925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.20 % (3577925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.20 % (3577925)CaDiCaL version: 2.1.3
% 5.47/1.20 % (3577925)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.20 % (3577925)Time elapsed: 0.001 s
% 5.47/1.20 % (3577925)Peak memory usage: 11 MB
% 5.47/1.20 % (3577925)Instructions burned: 1 (million)
% 5.47/1.20 % (3577925)------------------------------
% 5.47/1.20 % (3577925)------------------------------
% 5.47/1.20 % (3577929)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=1636340298:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.47/1.20 % (3577932)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1151567832:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.47/1.20 % (3577932)Refutation not found, incomplete strategy
% 5.47/1.20 % (3577932)------------------------------
% 5.47/1.20 % (3577932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.20 % (3577932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.20 % (3577932)CaDiCaL version: 2.1.3
% 5.47/1.20 % (3577932)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.20 % (3577932)Time elapsed: 0.001 s
% 5.47/1.20 % (3577932)Peak memory usage: 11 MB
% 5.47/1.20 % (3577932)------------------------------
% 5.47/1.20 % (3577932)------------------------------
% 5.47/1.20 % (3577935)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.47/1.20 % (3577935)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3417179015:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.47/1.20 % (3577917)Instruction limit reached!
% 5.47/1.25 % (3577917)------------------------------
% 5.47/1.25 % (3577917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.25 % (3577917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.25 % (3577917)CaDiCaL version: 2.1.3
% 5.47/1.25 % (3577917)Termination reason: Instruction limit
% 5.47/1.25 % (3577917)Termination phase: Saturation
% 5.47/1.25 % (3577917)Time elapsed: 0.066 s
% 5.47/1.25 % (3577917)Peak memory usage: 12 MB
% 5.47/1.25 % (3577917)Instructions burned: 91 (million)
% 5.47/1.25 % (3577926)Instruction limit reached!
% 5.47/1.25 % (3577926)------------------------------
% 5.47/1.25 % (3577926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.25 % (3577926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.25 % (3577926)CaDiCaL version: 2.1.3
% 5.47/1.25 % (3577926)Termination reason: Instruction limit
% 5.47/1.25 % (3577926)Termination phase: Saturation
% 5.47/1.25 % (3577926)Time elapsed: 0.061 s
% 5.47/1.25 % (3577926)Peak memory usage: 12 MB
% 5.47/1.25 % (3577926)Instructions burned: 139 (million)
% 5.47/1.25 % (3577937)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=103820849:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.47/1.25 % (3577938)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=389168368:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.47/1.25 % (3577938)Refutation not found, incomplete strategy
% 5.47/1.25 % (3577938)------------------------------
% 5.47/1.25 % (3577938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.25 % (3577938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.25 % (3577938)CaDiCaL version: 2.1.3
% 5.47/1.25 % (3577938)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.25 % (3577938)Time elapsed: 0.002 s
% 5.47/1.25 % (3577938)Peak memory usage: 12 MB
% 5.47/1.25 % (3577938)Instructions burned: 2 (million)
% 5.47/1.25 % (3577938)------------------------------
% 5.47/1.25 % (3577938)------------------------------
% 5.47/1.25 % (3577941)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2239491777:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.47/1.25 % (3577922)Instruction limit reached!
% 5.47/1.25 % (3577922)------------------------------
% 5.47/1.25 % (3577922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.25 % (3577922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.25 % (3577922)CaDiCaL version: 2.1.3
% 5.47/1.25 % (3577922)Termination reason: Instruction limit
% 5.47/1.25 % (3577922)Termination phase: Saturation
% 5.47/1.25 % (3577922)Time elapsed: 0.160 s
% 5.47/1.25 % (3577922)Peak memory usage: 14 MB
% 5.47/1.25 % (3577922)Instructions burned: 340 (million)
% 5.47/1.25 % (3577900)Instruction limit reached!
% 5.47/1.25 % (3577900)------------------------------
% 5.47/1.25 % (3577900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.25 % (3577900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.25 % (3577900)CaDiCaL version: 2.1.3
% 5.47/1.25 % (3577900)Termination reason: Instruction limit
% 5.47/1.25 % (3577900)Termination phase: Saturation
% 5.47/1.25 % (3577900)Time elapsed: 0.263 s
% 5.47/1.25 % (3577900)Peak memory usage: 12 MB
% 5.47/1.25 % (3577900)Instructions burned: 451 (million)
% 5.47/1.25 % (3577943)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=2319558014:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/9840Mi)
% 5.47/1.25 % (3577913)Instruction limit reached!
% 5.47/1.25 % (3577913)------------------------------
% 5.47/1.25 % (3577913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.25 % (3577913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.25 % (3577913)CaDiCaL version: 2.1.3
% 5.47/1.25 % (3577913)Termination reason: Instruction limit
% 5.47/1.25 % (3577913)Termination phase: Saturation
% 5.47/1.25 % (3577913)Time elapsed: 0.224 s
% 5.47/1.25 % (3577913)Peak memory usage: 13 MB
% 5.47/1.25 % (3577913)Instructions burned: 495 (million)
% 5.47/1.25 % (3577929)Instruction limit reached!
% 5.90/1.33 % (3577929)------------------------------
% 5.90/1.33 % (3577929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.33 % (3577929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.33 % (3577929)CaDiCaL version: 2.1.3
% 5.90/1.33 % (3577929)Termination reason: Instruction limit
% 5.90/1.33 % (3577929)Termination phase: Saturation
% 5.90/1.33 % (3577929)Time elapsed: 0.171 s
% 5.90/1.33 % (3577929)Peak memory usage: 13 MB
% 5.90/1.33 % (3577929)Instructions burned: 340 (million)
% 5.90/1.33 % (3577944)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1662545140:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.90/1.33 % (3577944)Refutation not found, incomplete strategy
% 5.90/1.33 % (3577944)------------------------------
% 5.90/1.33 % (3577944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.33 % (3577944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.33 % (3577944)CaDiCaL version: 2.1.3
% 5.90/1.33 % (3577944)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.33 % (3577944)Time elapsed: 0.001 s
% 5.90/1.33 % (3577944)Peak memory usage: 11 MB
% 5.90/1.33 % (3577944)Instructions burned: 1 (million)
% 5.90/1.33 % (3577944)------------------------------
% 5.90/1.33 % (3577944)------------------------------
% 5.90/1.33 % (3577937)Instruction limit reached!
% 5.90/1.33 % (3577937)------------------------------
% 5.90/1.33 % (3577937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.33 % (3577937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.33 % (3577937)CaDiCaL version: 2.1.3
% 5.90/1.33 % (3577937)Termination reason: Instruction limit
% 5.90/1.33 % (3577937)Termination phase: Saturation
% 5.90/1.33 % (3577937)Time elapsed: 0.099 s
% 5.90/1.33 % (3577937)Peak memory usage: 12 MB
% 5.90/1.33 % (3577937)Instructions burned: 117 (million)
% 5.90/1.33 % (3577946)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.90/1.33 % (3577946)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=125509625:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.90/1.33 % (3577947)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3560402408:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 5.90/1.33 % (3577949)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.90/1.33 % (3577949)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.90/1.33 % (3577947)Instruction limit reached!
% 5.90/1.33 % (3577947)------------------------------
% 5.90/1.33 % (3577947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.33 % (3577947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.33 % (3577947)CaDiCaL version: 2.1.3
% 5.90/1.33 % (3577947)Termination reason: Instruction limit
% 5.90/1.33 % (3577947)Termination phase: Saturation
% 5.90/1.33 % (3577947)Time elapsed: 0.016 s
% 5.90/1.33 % (3577947)Peak memory usage: 12 MB
% 5.90/1.33 % (3577947)Instructions burned: 31 (million)
% 5.90/1.33 % (3577949)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=3986327804:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 5.90/1.33 % (3577950)dis+10_2_sil=128000:si=on:random_seed=4042855554:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 5.90/1.33 % (3577950)Refutation not found, incomplete strategy
% 5.90/1.33 % (3577950)------------------------------
% 5.90/1.33 % (3577950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.33 % (3577950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.33 % (3577950)CaDiCaL version: 2.1.3
% 5.90/1.33 % (3577950)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.33 % (3577950)Time elapsed: 0.005 s
% 5.90/1.33 % (3577950)Peak memory usage: 11 MB
% 6.14/1.45 % (3577950)Instructions burned: 1 (million)
% 6.14/1.45 % (3577950)------------------------------
% 6.14/1.45 % (3577950)------------------------------
% 6.14/1.45 % (3577941)Instruction limit reached!
% 6.14/1.45 % (3577941)------------------------------
% 6.14/1.45 % (3577941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.45 % (3577941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.45 % (3577941)CaDiCaL version: 2.1.3
% 6.14/1.45 % (3577941)Termination reason: Instruction limit
% 6.14/1.45 % (3577941)Termination phase: Saturation
% 6.14/1.45 % (3577941)Time elapsed: 0.121 s
% 6.14/1.45 % (3577941)Peak memory usage: 12 MB
% 6.14/1.45 % (3577941)Instructions burned: 271 (million)
% 6.14/1.45 % (3577956)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=2627693478:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 6.14/1.45 % (3577956)Refutation not found, incomplete strategy
% 6.14/1.45 % (3577956)------------------------------
% 6.14/1.45 % (3577956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.45 % (3577956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.45 % (3577956)CaDiCaL version: 2.1.3
% 6.14/1.45 % (3577956)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.45 % (3577956)Time elapsed: 0.001 s
% 6.14/1.45 % (3577956)Peak memory usage: 11 MB
% 6.14/1.45 % (3577956)Instructions burned: 1 (million)
% 6.14/1.45 % (3577956)------------------------------
% 6.14/1.45 % (3577956)------------------------------
% 6.14/1.45 % (3577957)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=993603259:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.14/1.45 % (3577957)Refutation not found, incomplete strategy
% 6.14/1.45 % (3577957)------------------------------
% 6.14/1.45 % (3577957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.45 % (3577957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.45 % (3577957)CaDiCaL version: 2.1.3
% 6.14/1.45 % (3577957)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.45 % (3577957)Time elapsed: 0.001 s
% 6.14/1.45 % (3577957)Peak memory usage: 12 MB
% 6.14/1.45 % (3577957)Instructions burned: 2 (million)
% 6.14/1.45 % (3577957)------------------------------
% 6.14/1.45 % (3577957)------------------------------
% 6.14/1.45 % (3577953)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1643400355:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 6.14/1.45 % (3577959)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=340440614:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.14/1.45 % (3577959)Refutation not found, incomplete strategy
% 6.14/1.45 % (3577959)------------------------------
% 6.14/1.45 % (3577959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.45 % (3577959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.45 % (3577959)CaDiCaL version: 2.1.3
% 6.14/1.45 % (3577959)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.45 % (3577959)Time elapsed: 0.001 s
% 6.14/1.45 % (3577959)Peak memory usage: 11 MB
% 6.14/1.45 % (3577959)------------------------------
% 6.14/1.45 % (3577959)------------------------------
% 6.14/1.45 % (3577962)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=4211852328:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 6.14/1.45 % (3577962)Refutation not found, incomplete strategy
% 6.14/1.45 % (3577962)------------------------------
% 6.14/1.45 % (3577962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.45 % (3577962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.45 % (3577962)CaDiCaL version: 2.1.3
% 6.14/1.45 % (3577962)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.45 % (3577962)Time elapsed: 0.002 s
% 6.14/1.45 % (3577962)Peak memory usage: 11 MB
% 6.14/1.45 % (3577962)Instructions burned: 3 (million)
% 6.14/1.45 % (3577962)------------------------------
% 6.14/1.45 % (3577962)------------------------------
% 6.43/1.54 % (3577964)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.43/1.54 % (3577946)Instruction limit reached!
% 6.43/1.54 % (3577946)------------------------------
% 6.43/1.54 % (3577946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.54 % (3577946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.54 % (3577946)CaDiCaL version: 2.1.3
% 6.43/1.54 % (3577946)Termination reason: Instruction limit
% 6.43/1.54 % (3577946)Termination phase: Saturation
% 6.43/1.54 % (3577946)Time elapsed: 0.091 s
% 6.43/1.54 % (3577946)Peak memory usage: 12 MB
% 6.43/1.54 % (3577946)Instructions burned: 273 (million)
% 6.43/1.54 % (3577964)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=1310976263:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 6.43/1.54 % (3577966)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=200112843:i=619:add=on:rtra=on_2990 on theBenchmark for (2990ds/619Mi)
% 6.43/1.54 % (3577966)Refutation not found, incomplete strategy
% 6.43/1.54 % (3577966)------------------------------
% 6.43/1.54 % (3577966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.54 % (3577966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.54 % (3577966)CaDiCaL version: 2.1.3
% 6.43/1.54 % (3577966)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.54 % (3577966)Time elapsed: 0.002 s
% 6.43/1.54 % (3577966)Peak memory usage: 12 MB
% 6.43/1.54 % (3577966)Instructions burned: 3 (million)
% 6.43/1.54 % (3577966)------------------------------
% 6.43/1.54 % (3577966)------------------------------
% 6.43/1.54 % (3577967)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=1962449109:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 6.43/1.54 % (3577970)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2009750295:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 6.43/1.54 % (3577970)Refutation not found, incomplete strategy
% 6.43/1.54 % (3577970)------------------------------
% 6.43/1.54 % (3577970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.54 % (3577970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.54 % (3577970)CaDiCaL version: 2.1.3
% 6.43/1.54 % (3577970)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.54 % (3577970)Time elapsed: 0.001 s
% 6.43/1.54 % (3577970)Peak memory usage: 11 MB
% 6.43/1.54 % (3577970)Instructions burned: 1 (million)
% 6.43/1.54 % (3577970)------------------------------
% 6.43/1.54 % (3577970)------------------------------
% 6.43/1.54 % (3577935)Instruction limit reached!
% 6.43/1.54 % (3577935)------------------------------
% 6.43/1.54 % (3577935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.54 % (3577935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.54 % (3577935)CaDiCaL version: 2.1.3
% 6.43/1.54 % (3577935)Termination reason: Instruction limit
% 6.43/1.54 % (3577935)Termination phase: Saturation
% 6.43/1.54 % (3577935)Time elapsed: 0.306 s
% 6.43/1.54 % (3577935)Peak memory usage: 12 MB
% 6.43/1.54 % (3577935)Instructions burned: 375 (million)
% 6.43/1.54 % (3577973)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=68196150:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 6.43/1.54 % (3577973)Refutation not found, incomplete strategy
% 6.43/1.54 % (3577973)------------------------------
% 6.43/1.54 % (3577973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.54 % (3577973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.54 % (3577973)CaDiCaL version: 2.1.3
% 6.43/1.54 % (3577973)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.54 % (3577973)Time elapsed: 0.001 s
% 6.43/1.54 % (3577973)Peak memory usage: 11 MB
% 6.43/1.54 % (3577973)------------------------------
% 6.43/1.54 % (3577973)------------------------------
% 6.43/1.54 % (3577953)Instruction limit reached!
% 6.43/1.54 % (3577953)------------------------------
% 6.43/1.54 % (3577953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.54 % (3577953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.74 % (3577953)CaDiCaL version: 2.1.3
% 6.99/1.74 % (3577953)Termination reason: Instruction limit
% 6.99/1.74 % (3577953)Termination phase: Saturation
% 6.99/1.74 % (3577953)Time elapsed: 0.099 s
% 6.99/1.74 % (3577953)Peak memory usage: 12 MB
% 6.99/1.74 % (3577953)Instructions burned: 111 (million)
% 6.99/1.74 % (3577974)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3731320900:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 6.99/1.74 % (3577974)Refutation not found, incomplete strategy
% 6.99/1.74 % (3577974)------------------------------
% 6.99/1.74 % (3577974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.74 % (3577974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.74 % (3577974)CaDiCaL version: 2.1.3
% 6.99/1.74 % (3577974)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.74 % (3577974)Time elapsed: 0.001 s
% 6.99/1.74 % (3577974)Peak memory usage: 11 MB
% 6.99/1.74 % (3577974)Instructions burned: 1 (million)
% 6.99/1.74 % (3577974)------------------------------
% 6.99/1.74 % (3577974)------------------------------
% 6.99/1.74 % (3577976)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1415910874:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 6.99/1.74 % (3577979)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=370597632:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 6.99/1.74 % (3577978)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3213514581:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 6.99/1.74 % (3577979)Refutation not found, incomplete strategy
% 6.99/1.74 % (3577979)------------------------------
% 6.99/1.74 % (3577979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.74 % (3577979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.74 % (3577979)CaDiCaL version: 2.1.3
% 6.99/1.74 % (3577979)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.74 % (3577979)Time elapsed: 0.001 s
% 6.99/1.74 % (3577979)Peak memory usage: 11 MB
% 6.99/1.74 % (3577979)Instructions burned: 1 (million)
% 6.99/1.74 % (3577979)------------------------------
% 6.99/1.74 % (3577979)------------------------------
% 6.99/1.74 % (3577983)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=33156281:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 6.99/1.74 % (3577978)Instruction limit reached!
% 6.99/1.74 % (3577978)------------------------------
% 6.99/1.74 % (3577978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.74 % (3577978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.74 % (3577978)CaDiCaL version: 2.1.3
% 6.99/1.74 % (3577978)Termination reason: Instruction limit
% 6.99/1.74 % (3577978)Termination phase: Saturation
% 6.99/1.74 % (3577978)Time elapsed: 0.035 s
% 6.99/1.74 % (3577978)Peak memory usage: 12 MB
% 6.99/1.74 % (3577978)Instructions burned: 76 (million)
% 6.99/1.74 % (3577985)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2637135692:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 6.99/1.74 % (3577976)Instruction limit reached!
% 6.99/1.74 % (3577976)------------------------------
% 6.99/1.74 % (3577976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.74 % (3577976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.74 % (3577976)CaDiCaL version: 2.1.3
% 6.99/1.74 % (3577976)Termination reason: Instruction limit
% 6.99/1.74 % (3577976)Termination phase: Saturation
% 6.99/1.74 % (3577976)Time elapsed: 0.067 s
% 6.99/1.74 % (3577976)Peak memory usage: 12 MB
% 6.99/1.74 % (3577976)Instructions burned: 153 (million)
% 6.99/1.74 % (3577983)Instruction limit reached!
% 6.99/1.74 % (3577983)------------------------------
% 6.99/1.74 % (3577983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.74 % (3577983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.74 % (3577983)CaDiCaL version: 2.1.3
% 6.99/1.74 % (3577983)Termination reason: Instruction limit
% 6.99/1.74 % (3577983)Termination phase: Saturation
% 6.99/1.74 % (3577983)Time elapsed: 0.075 s
% 6.99/1.74 % (3577983)Peak memory usage: 12 MB
% 8.51/1.93 % (3577983)Instructions burned: 148 (million)
% 8.51/1.93 % (3577987)lrs+10_1_sil=128000:si=on:random_seed=207023944:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 8.51/1.93 % (3577987)Refutation not found, incomplete strategy
% 8.51/1.93 % (3577987)------------------------------
% 8.51/1.93 % (3577987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.93 % (3577987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.93 % (3577987)CaDiCaL version: 2.1.3
% 8.51/1.93 % (3577987)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.93 % (3577987)Time elapsed: 0.001 s
% 8.51/1.93 % (3577987)Peak memory usage: 11 MB
% 8.51/1.93 % (3577987)Instructions burned: 1 (million)
% 8.51/1.93 % (3577987)------------------------------
% 8.51/1.93 % (3577987)------------------------------
% 8.51/1.93 % (3577985)Instruction limit reached!
% 8.51/1.93 % (3577985)------------------------------
% 8.51/1.93 % (3577985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.93 % (3577985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.93 % (3577985)CaDiCaL version: 2.1.3
% 8.51/1.93 % (3577985)Termination reason: Instruction limit
% 8.51/1.93 % (3577985)Termination phase: Saturation
% 8.51/1.93 % (3577985)Time elapsed: 0.061 s
% 8.51/1.93 % (3577985)Peak memory usage: 12 MB
% 8.51/1.93 % (3577985)Instructions burned: 162 (million)
% 8.51/1.93 % (3577988)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=3261179318:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 8.51/1.93 % (3577990)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=3335781621:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 8.51/1.93 % (3577988)Refutation not found, incomplete strategy
% 8.51/1.93 % (3577988)------------------------------
% 8.51/1.93 % (3577988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.93 % (3577988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.93 % (3577988)CaDiCaL version: 2.1.3
% 8.51/1.93 % (3577988)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.93 % (3577988)Time elapsed: 0.006 s
% 8.51/1.93 % (3577988)Peak memory usage: 12 MB
% 8.51/1.93 % (3577988)Instructions burned: 3 (million)
% 8.51/1.93 % (3577988)------------------------------
% 8.51/1.93 % (3577988)------------------------------
% 8.51/1.93 % (3577991)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=235852299:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2987 on theBenchmark for (2987ds/93Mi)
% 8.51/1.93 % (3577964)Instruction limit reached!
% 8.51/1.93 % (3577964)------------------------------
% 8.51/1.93 % (3577964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.93 % (3577964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.93 % (3577964)CaDiCaL version: 2.1.3
% 8.51/1.93 % (3577964)Termination reason: Instruction limit
% 8.51/1.93 % (3577964)Termination phase: Saturation
% 8.51/1.93 % (3577964)Time elapsed: 0.235 s
% 8.51/1.93 % (3577964)Peak memory usage: 13 MB
% 8.51/1.93 % (3577964)Instructions burned: 281 (million)
% 8.51/1.93 % (3577994)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3259410601:i=2186:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/2186Mi)
% 8.51/1.93 % (3577990)Instruction limit reached!
% 8.51/1.93 % (3577990)------------------------------
% 8.51/1.93 % (3577990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.93 % (3577990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.93 % (3577990)CaDiCaL version: 2.1.3
% 8.51/1.93 % (3577990)Termination reason: Instruction limit
% 8.51/1.93 % (3577990)Termination phase: Saturation
% 8.51/1.93 % (3577990)Time elapsed: 0.036 s
% 8.51/1.93 % (3577990)Peak memory usage: 12 MB
% 8.51/1.93 % (3577990)Instructions burned: 90 (million)
% 8.51/1.93 % (3577996)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1330769817:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 8.51/1.93 % (3577991)Instruction limit reached!
% 8.51/1.93 % (3577991)------------------------------
% 8.51/1.93 % (3577991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/2.06 % (3577991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.06 % (3577991)CaDiCaL version: 2.1.3
% 11.26/2.06 % (3577991)Termination reason: Instruction limit
% 11.26/2.06 % (3577991)Termination phase: Saturation
% 11.26/2.06 % (3577991)Time elapsed: 0.048 s
% 11.26/2.06 % (3577991)Peak memory usage: 12 MB
% 11.26/2.06 % (3577991)Instructions burned: 93 (million)
% 11.26/2.06 % (3577998)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2273360422:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 11.26/2.06 % (3578000)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.26/2.06 % (3578000)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=1134163293:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2987 on theBenchmark for (2987ds/391Mi)
% 11.26/2.06 % (3578000)Refutation not found, incomplete strategy
% 11.26/2.06 % (3578000)------------------------------
% 11.26/2.06 % (3578000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/2.06 % (3578000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.06 % (3578000)CaDiCaL version: 2.1.3
% 11.26/2.06 % (3578000)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.06 % (3578000)Time elapsed: 0.001 s
% 11.26/2.06 % (3578000)Peak memory usage: 11 MB
% 11.26/2.06 % (3578000)Instructions burned: 1 (million)
% 11.26/2.06 % (3578000)------------------------------
% 11.26/2.06 % (3578000)------------------------------
% 11.26/2.06 % (3578003)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3034436812:i=355:av=off:fsr=off:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/355Mi)
% 11.26/2.06 % (3577996)Instruction limit reached!
% 11.26/2.06 % (3577996)------------------------------
% 11.26/2.06 % (3577996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/2.06 % (3577996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.06 % (3577996)CaDiCaL version: 2.1.3
% 11.26/2.06 % (3577996)Termination reason: Instruction limit
% 11.26/2.06 % (3577996)Termination phase: Saturation
% 11.26/2.06 % (3577996)Time elapsed: 0.118 s
% 11.26/2.06 % (3577996)Peak memory usage: 12 MB
% 11.26/2.06 % (3577996)Instructions burned: 240 (million)
% 11.26/2.06 % (3578005)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4201914240:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/314Mi)
% 11.26/2.06 % (3578005)Refutation not found, incomplete strategy
% 11.26/2.06 % (3578005)------------------------------
% 11.26/2.06 % (3578005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/2.06 % (3578005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.06 % (3578005)CaDiCaL version: 2.1.3
% 11.26/2.06 % (3578005)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.06 % (3578005)Time elapsed: 0.001 s
% 11.26/2.06 % (3578005)Peak memory usage: 11 MB
% 11.26/2.06 % (3578005)Instructions burned: 1 (million)
% 11.26/2.06 % (3578005)------------------------------
% 11.26/2.06 % (3578005)------------------------------
% 11.26/2.06 % (3578007)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3068575451:s2a=on:i=251:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/251Mi)
% 11.26/2.06 % (3577949)Instruction limit reached!
% 11.26/2.06 % (3577949)------------------------------
% 11.26/2.06 % (3577949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.26/2.06 % (3577949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.06 % (3577949)CaDiCaL version: 2.1.3
% 11.26/2.06 % (3577949)Termination reason: Instruction limit
% 11.26/2.06 % (3577949)Termination phase: Saturation
% 11.26/2.06 % (3577949)Time elapsed: 0.518 s
% 11.26/2.06 % (3577949)Peak memory usage: 13 MB
% 11.26/2.06 % (3577949)Instructions burned: 1441 (million)
% 11.26/2.06 % (3578009)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=1757641934:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2985 on theBenchmark for (2985ds/2470Mi)
% 11.26/2.06 % (3578003)Instruction limit reached!
% 11.86/2.19 % (3578003)------------------------------
% 11.86/2.19 % (3578003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.19 % (3578003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.19 % (3578003)CaDiCaL version: 2.1.3
% 11.86/2.19 % (3578003)Termination reason: Instruction limit
% 11.86/2.19 % (3578003)Termination phase: Saturation
% 11.86/2.19 % (3578003)Time elapsed: 0.156 s
% 11.86/2.19 % (3578003)Peak memory usage: 12 MB
% 11.86/2.19 % (3578003)Instructions burned: 357 (million)
% 11.86/2.19 % (3578011)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3124525853:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2985 on theBenchmark for (2985ds/673Mi)
% 11.86/2.19 % (3578007)Instruction limit reached!
% 11.86/2.19 % (3578007)------------------------------
% 11.86/2.19 % (3578007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.19 % (3578007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.19 % (3578007)CaDiCaL version: 2.1.3
% 11.86/2.19 % (3578007)Termination reason: Instruction limit
% 11.86/2.19 % (3578007)Termination phase: Saturation
% 11.86/2.19 % (3578007)Time elapsed: 0.116 s
% 11.86/2.19 % (3578007)Peak memory usage: 13 MB
% 11.86/2.19 % (3578007)Instructions burned: 252 (million)
% 11.86/2.19 % (3578013)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=129153800:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 11.86/2.19 % (3577967)Instruction limit reached!
% 11.86/2.19 % (3577967)------------------------------
% 11.86/2.19 % (3577967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.19 % (3577967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.19 % (3577967)CaDiCaL version: 2.1.3
% 11.86/2.19 % (3577967)Termination reason: Instruction limit
% 11.86/2.19 % (3577967)Termination phase: Saturation
% 11.86/2.19 % (3577967)Time elapsed: 0.569 s
% 11.86/2.19 % (3577967)Peak memory usage: 15 MB
% 11.86/2.19 % (3577967)Instructions burned: 865 (million)
% 11.86/2.19 % (3578015)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3688443691:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 11.86/2.19 % (3578013)Instruction limit reached!
% 11.86/2.19 % (3578013)------------------------------
% 11.86/2.19 % (3578013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.19 % (3578013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.19 % (3578013)CaDiCaL version: 2.1.3
% 11.86/2.19 % (3578013)Termination reason: Instruction limit
% 11.86/2.19 % (3578013)Termination phase: Saturation
% 11.86/2.19 % (3578013)Time elapsed: 0.047 s
% 11.86/2.19 % (3578013)Peak memory usage: 12 MB
% 11.86/2.19 % (3578013)Instructions burned: 117 (million)
% 11.86/2.19 % (3578017)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=2553047957:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/30Mi)
% 11.86/2.19 % (3577998)Instruction limit reached!
% 11.86/2.19 % (3577998)------------------------------
% 11.86/2.19 % (3577998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.19 % (3577998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.19 % (3577998)CaDiCaL version: 2.1.3
% 11.86/2.19 % (3577998)Termination reason: Instruction limit
% 11.86/2.19 % (3577998)Termination phase: Saturation
% 11.86/2.19 % (3577998)Time elapsed: 0.360 s
% 11.86/2.19 % (3577998)Peak memory usage: 13 MB
% 11.86/2.19 % (3577998)Instructions burned: 806 (million)
% 11.86/2.19 % (3578017)Instruction limit reached!
% 11.86/2.19 % (3578017)------------------------------
% 11.86/2.19 % (3578017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.19 % (3578017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.19 % (3578017)CaDiCaL version: 2.1.3
% 11.86/2.19 % (3578017)Termination reason: Instruction limit
% 11.86/2.19 % (3578017)Termination phase: Saturation
% 11.86/2.19 % (3578017)Time elapsed: 0.016 s
% 11.86/2.19 % (3578017)Peak memory usage: 12 MB
% 11.86/2.19 % (3578017)Instructions burned: 32 (million)
% 11.86/2.19 % (3578019)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.10/2.29 % (3578019)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=966420758:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2983 on theBenchmark for (2983ds/39Mi)
% 12.10/2.29 % (3578020)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3723954866:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/365Mi)
% 12.10/2.29 % (3578019)Instruction limit reached!
% 12.10/2.29 % (3578019)------------------------------
% 12.10/2.29 % (3578019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.10/2.29 % (3578019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.29 % (3578019)CaDiCaL version: 2.1.3
% 12.10/2.29 % (3578019)Termination reason: Instruction limit
% 12.10/2.29 % (3578019)Termination phase: Saturation
% 12.10/2.29 % (3578019)Time elapsed: 0.021 s
% 12.10/2.29 % (3578019)Peak memory usage: 12 MB
% 12.10/2.29 % (3578019)Instructions burned: 41 (million)
% 12.10/2.29 % (3578023)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1624884620:i=158:av=off:rtra=on_2983 on theBenchmark for (2983ds/158Mi)
% 12.10/2.29 % (3578015)Instruction limit reached!
% 12.10/2.29 % (3578015)------------------------------
% 12.10/2.29 % (3578015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.10/2.29 % (3578015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.29 % (3578015)CaDiCaL version: 2.1.3
% 12.10/2.29 % (3578015)Termination reason: Instruction limit
% 12.10/2.29 % (3578015)Termination phase: Saturation
% 12.10/2.29 % (3578015)Time elapsed: 0.118 s
% 12.10/2.29 % (3578015)Peak memory usage: 12 MB
% 12.10/2.29 % (3578015)Instructions burned: 271 (million)
% 12.10/2.29 % (3578011)Instruction limit reached!
% 12.10/2.29 % (3578011)------------------------------
% 12.10/2.29 % (3578011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.10/2.29 % (3578011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.29 % (3578011)CaDiCaL version: 2.1.3
% 12.10/2.29 % (3578011)Termination reason: Instruction limit
% 12.10/2.29 % (3578011)Termination phase: Saturation
% 12.10/2.29 % (3578011)Time elapsed: 0.250 s
% 12.10/2.29 % (3578011)Peak memory usage: 13 MB
% 12.10/2.29 % (3578011)Instructions burned: 675 (million)
% 12.10/2.29 % (3578025)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.10/2.29 % (3578025)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=3418564508:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/252Mi)
% 12.10/2.29 % (3578026)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2662642068:i=213:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/213Mi)
% 12.10/2.29 % (3578026)Refutation not found, incomplete strategy
% 12.10/2.29 % (3578026)------------------------------
% 12.10/2.29 % (3578026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.10/2.29 % (3578026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.29 % (3578026)CaDiCaL version: 2.1.3
% 12.10/2.29 % (3578026)Termination reason: Refutation not found, incomplete strategy
% 12.10/2.29 % (3578026)Time elapsed: 0.001 s
% 12.10/2.29 % (3578026)Peak memory usage: 11 MB
% 12.10/2.29 % (3578026)Instructions burned: 1 (million)
% 12.10/2.29 % (3578026)------------------------------
% 12.10/2.29 % (3578026)------------------------------
% 12.10/2.29 % (3578023)Instruction limit reached!
% 12.10/2.29 % (3578023)------------------------------
% 12.10/2.29 % (3578023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.10/2.29 % (3578023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.29 % (3578023)CaDiCaL version: 2.1.3
% 12.10/2.29 % (3578023)Termination reason: Instruction limit
% 12.10/2.29 % (3578023)Termination phase: Saturation
% 12.10/2.29 % (3578023)Time elapsed: 0.074 s
% 12.10/2.29 % (3578023)Peak memory usage: 12 MB
% 12.10/2.29 % (3578023)Instructions burned: 160 (million)
% 12.10/2.29 % (3578029)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=2422962516:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/160Mi)
% 12.10/2.29 % (3578029)Refutation not found, incomplete strategy
% 12.72/2.37 % (3578029)------------------------------
% 12.72/2.37 % (3578029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.37 % (3578029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.37 % (3578029)CaDiCaL version: 2.1.3
% 12.72/2.37 % (3578029)Termination reason: Refutation not found, incomplete strategy
% 12.72/2.37 % (3578029)Time elapsed: 0.001 s
% 12.72/2.37 % (3578029)Peak memory usage: 11 MB
% 12.72/2.37 % (3578029)Instructions burned: 1 (million)
% 12.72/2.37 % (3578029)------------------------------
% 12.72/2.37 % (3578029)------------------------------
% 12.72/2.37 % (3578030)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2402936829:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/763Mi)
% 12.72/2.37 % (3578032)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.72/2.37 % (3578032)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=3317147521:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2982 on theBenchmark for (2982ds/237Mi)
% 12.72/2.37 % (3578032)Refutation not found, incomplete strategy
% 12.72/2.37 % (3578032)------------------------------
% 12.72/2.37 % (3578032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.37 % (3578032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.37 % (3578032)CaDiCaL version: 2.1.3
% 12.72/2.37 % (3578032)Termination reason: Refutation not found, incomplete strategy
% 12.72/2.37 % (3578032)Time elapsed: 0.001 s
% 12.72/2.37 % (3578032)Peak memory usage: 11 MB
% 12.72/2.37 % (3578032)------------------------------
% 12.72/2.37 % (3578032)------------------------------
% 12.72/2.37 % (3578035)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=415687470:s2a=on:i=386:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/386Mi)
% 12.72/2.37 % (3578025)Instruction limit reached!
% 12.72/2.37 % (3578025)------------------------------
% 12.72/2.37 % (3578025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.37 % (3578025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.37 % (3578025)CaDiCaL version: 2.1.3
% 12.72/2.37 % (3578025)Termination reason: Instruction limit
% 12.72/2.37 % (3578025)Termination phase: Saturation
% 12.72/2.37 % (3578025)Time elapsed: 0.095 s
% 12.72/2.37 % (3578025)Peak memory usage: 12 MB
% 12.72/2.37 % (3578025)Instructions burned: 253 (million)
% 12.72/2.37 % (3578037)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3390326317:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 12.72/2.37 % (3578020)Instruction limit reached!
% 12.72/2.37 % (3578020)------------------------------
% 12.72/2.37 % (3578020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.37 % (3578020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.37 % (3578020)CaDiCaL version: 2.1.3
% 12.72/2.37 % (3578020)Termination reason: Instruction limit
% 12.72/2.37 % (3578020)Termination phase: Saturation
% 12.72/2.37 % (3578020)Time elapsed: 0.206 s
% 12.72/2.37 % (3578020)Peak memory usage: 13 MB
% 12.72/2.37 % (3578020)Instructions burned: 365 (million)
% 12.72/2.37 % (3578039)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=636863813:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/567Mi)
% 12.72/2.37 % (3578039)Refutation not found, incomplete strategy
% 12.72/2.37 % (3578039)------------------------------
% 12.72/2.37 % (3578039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.37 % (3578039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.37 % (3578039)CaDiCaL version: 2.1.3
% 12.72/2.37 % (3578039)Termination reason: Refutation not found, incomplete strategy
% 12.72/2.37 % (3578039)Time elapsed: 0.001 s
% 12.72/2.37 % (3578039)Peak memory usage: 11 MB
% 12.72/2.37 % (3578039)Instructions burned: 1 (million)
% 12.72/2.37 % (3578039)------------------------------
% 12.72/2.37 % (3578039)------------------------------
% 12.72/2.37 % (3577994)Instruction limit reached!
% 12.72/2.37 % (3577994)------------------------------
% 12.72/2.37 % (3577994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.37 % (3577994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.52 % (3577994)CaDiCaL version: 2.1.3
% 13.70/2.52 % (3577994)Termination reason: Instruction limit
% 13.70/2.52 % (3577994)Termination phase: Saturation
% 13.70/2.52 % (3577994)Time elapsed: 0.681 s
% 13.70/2.52 % (3577994)Peak memory usage: 13 MB
% 13.70/2.52 % (3577994)Instructions burned: 2189 (million)
% 13.70/2.52 % (3578041)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=5243918:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 13.70/2.52 % (3578041)Refutation not found, incomplete strategy
% 13.70/2.52 % (3578041)------------------------------
% 13.70/2.52 % (3578041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.70/2.52 % (3578041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.52 % (3578041)CaDiCaL version: 2.1.3
% 13.70/2.52 % (3578041)Termination reason: Refutation not found, incomplete strategy
% 13.70/2.52 % (3578041)Time elapsed: 0.001 s
% 13.70/2.52 % (3578041)Peak memory usage: 11 MB
% 13.70/2.52 % (3578041)Instructions burned: 1 (million)
% 13.70/2.52 % (3578041)------------------------------
% 13.70/2.52 % (3578041)------------------------------
% 13.70/2.52 % (3578042)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3990175243:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2980 on theBenchmark for (2980ds/429Mi)
% 13.70/2.52 % (3578044)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3792643186:i=478:bd=all:rtra=on_2980 on theBenchmark for (2980ds/478Mi)
% 13.70/2.52 % (3578044)Refutation not found, incomplete strategy
% 13.70/2.52 % (3578044)------------------------------
% 13.70/2.52 % (3578044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.70/2.52 % (3578044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.52 % (3578044)CaDiCaL version: 2.1.3
% 13.70/2.52 % (3578044)Termination reason: Refutation not found, incomplete strategy
% 13.70/2.52 % (3578044)Time elapsed: 0.003 s
% 13.70/2.52 % (3578044)Peak memory usage: 12 MB
% 13.70/2.52 % (3578044)Instructions burned: 2 (million)
% 13.70/2.52 % (3578044)------------------------------
% 13.70/2.52 % (3578044)------------------------------
% 13.70/2.52 % (3578035)Instruction limit reached!
% 13.70/2.52 % (3578035)------------------------------
% 13.70/2.52 % (3578035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.70/2.52 % (3578035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.52 % (3578035)CaDiCaL version: 2.1.3
% 13.70/2.52 % (3578035)Termination reason: Instruction limit
% 13.70/2.52 % (3578035)Termination phase: Saturation
% 13.70/2.52 % (3578035)Time elapsed: 0.168 s
% 13.70/2.52 % (3578035)Peak memory usage: 12 MB
% 13.70/2.52 % (3578035)Instructions burned: 387 (million)
% 13.70/2.52 % (3578037)Instruction limit reached!
% 13.70/2.52 % (3578037)------------------------------
% 13.70/2.52 % (3578037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.70/2.52 % (3578037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.52 % (3578037)CaDiCaL version: 2.1.3
% 13.70/2.52 % (3578037)Termination reason: Instruction limit
% 13.70/2.52 % (3578037)Termination phase: Saturation
% 13.70/2.52 % (3578037)Time elapsed: 0.130 s
% 13.70/2.52 % (3578037)Peak memory usage: 12 MB
% 13.70/2.52 % (3578037)Instructions burned: 301 (million)
% 13.70/2.52 % (3578047)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=229824622:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2980 on theBenchmark for (2980ds/445Mi)
% 13.70/2.52 % (3578048)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=427103075:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/71Mi)
% 13.70/2.52 % (3578049)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2130226540:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/302Mi)
% 13.70/2.52 % (3578049)Refutation not found, incomplete strategy
% 13.70/2.52 % (3578049)------------------------------
% 13.70/2.52 % (3578049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.70/2.52 % (3578049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.52 % (3578049)CaDiCaL version: 2.1.3
% 13.70/2.52 % (3578049)Termination reason: Refutation not found, incomplete strategy
% 13.70/2.52 % (3578049)Time elapsed: 0.001 s
% 13.70/2.52 % (3578049)Peak memory usage: 11 MB
% 14.73/2.66 % (3578049)Instructions burned: 1 (million)
% 14.73/2.66 % (3578049)------------------------------
% 14.73/2.66 % (3578049)------------------------------
% 14.73/2.66 % (3578053)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1139591370:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/4980Mi)
% 14.73/2.66 % (3578053)Refutation not found, incomplete strategy
% 14.73/2.66 % (3578053)------------------------------
% 14.73/2.66 % (3578053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/2.66 % (3578053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.66 % (3578053)CaDiCaL version: 2.1.3
% 14.73/2.66 % (3578053)Termination reason: Refutation not found, incomplete strategy
% 14.73/2.66 % (3578053)Time elapsed: 0.001 s
% 14.73/2.66 % (3578053)Peak memory usage: 11 MB
% 14.73/2.66 % (3578053)Instructions burned: 1 (million)
% 14.73/2.66 % (3578053)------------------------------
% 14.73/2.66 % (3578053)------------------------------
% 14.73/2.66 % (3578030)Instruction limit reached!
% 14.73/2.66 % (3578030)------------------------------
% 14.73/2.66 % (3578030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/2.66 % (3578030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.66 % (3578030)CaDiCaL version: 2.1.3
% 14.73/2.66 % (3578030)Termination reason: Instruction limit
% 14.73/2.66 % (3578030)Termination phase: Saturation
% 14.73/2.66 % (3578030)Time elapsed: 0.249 s
% 14.73/2.66 % (3578030)Peak memory usage: 14 MB
% 14.73/2.66 % (3578030)Instructions burned: 765 (million)
% 14.73/2.66 % (3578048)Instruction limit reached!
% 14.73/2.66 % (3578048)------------------------------
% 14.73/2.66 % (3578048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/2.66 % (3578048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.66 % (3578048)CaDiCaL version: 2.1.3
% 14.73/2.66 % (3578048)Termination reason: Instruction limit
% 14.73/2.66 % (3578048)Termination phase: Saturation
% 14.73/2.66 % (3578048)Time elapsed: 0.039 s
% 14.73/2.66 % (3578048)Peak memory usage: 12 MB
% 14.73/2.66 % (3578048)Instructions burned: 72 (million)
% 14.73/2.66 % (3578055)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.73/2.66 % (3578055)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.73/2.66 % (3578055)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2780649563:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2979 on theBenchmark for (2979ds/100Mi)
% 14.73/2.66 % (3578056)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=3760102063:i=76:piset=equals:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/76Mi)
% 14.73/2.66 % (3578057)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2377973253:i=289:rtra=on_2979 on theBenchmark for (2979ds/289Mi)
% 14.73/2.66 % (3578057)Refutation not found, incomplete strategy
% 14.73/2.66 % (3578057)------------------------------
% 14.73/2.66 % (3578057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/2.66 % (3578057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.66 % (3578057)CaDiCaL version: 2.1.3
% 14.73/2.66 % (3578057)Termination reason: Refutation not found, incomplete strategy
% 14.73/2.66 % (3578057)Time elapsed: 0.001 s
% 14.73/2.66 % (3578057)Peak memory usage: 12 MB
% 14.73/2.66 % (3578057)Instructions burned: 2 (million)
% 14.73/2.66 % (3578057)------------------------------
% 14.73/2.66 % (3578057)------------------------------
% 14.73/2.66 % (3578061)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=446019400:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2979 on theBenchmark for (2979ds/493Mi)
% 14.73/2.66 % (3578055)Instruction limit reached!
% 14.73/2.66 % (3578055)------------------------------
% 14.73/2.66 % (3578055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/2.66 % (3578055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.66 % (3578055)CaDiCaL version: 2.1.3
% 15.39/2.71 % (3578055)Termination reason: Instruction limit
% 15.39/2.71 % (3578055)Termination phase: Saturation
% 15.39/2.71 % (3578055)Time elapsed: 0.041 s
% 15.39/2.71 % (3578055)Peak memory usage: 12 MB
% 15.39/2.71 % (3578055)Instructions burned: 101 (million)
% 15.39/2.71 % (3578056)Instruction limit reached!
% 15.39/2.71 % (3578056)------------------------------
% 15.39/2.71 % (3578056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.71 % (3578056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.71 % (3578056)CaDiCaL version: 2.1.3
% 15.39/2.71 % (3578056)Termination reason: Instruction limit
% 15.39/2.71 % (3578056)Termination phase: Saturation
% 15.39/2.71 % (3578056)Time elapsed: 0.038 s
% 15.39/2.71 % (3578056)Peak memory usage: 12 MB
% 15.39/2.71 % (3578056)Instructions burned: 77 (million)
% 15.39/2.71 % (3578064)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.39/2.71 % (3578063)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=3593211198:cond=on:i=34:hud=10:nm=10:rtra=on_2979 on theBenchmark for (2979ds/34Mi)
% 15.39/2.71 % (3578064)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=2511933944:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2978 on theBenchmark for (2978ds/372Mi)
% 15.39/2.71 % (3578064)Refutation not found, incomplete strategy
% 15.39/2.71 % (3578064)------------------------------
% 15.39/2.71 % (3578064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.71 % (3578064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.71 % (3578064)CaDiCaL version: 2.1.3
% 15.39/2.71 % (3578064)Termination reason: Refutation not found, incomplete strategy
% 15.39/2.71 % (3578064)Time elapsed: 0.002 s
% 15.39/2.71 % (3578064)Peak memory usage: 11 MB
% 15.39/2.71 % (3578064)Instructions burned: 3 (million)
% 15.39/2.71 % (3578064)------------------------------
% 15.39/2.71 % (3578064)------------------------------
% 15.39/2.71 % (3578063)Instruction limit reached!
% 15.39/2.71 % (3578063)------------------------------
% 15.39/2.71 % (3578063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.71 % (3578063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.71 % (3578063)CaDiCaL version: 2.1.3
% 15.39/2.71 % (3578063)Termination reason: Instruction limit
% 15.39/2.71 % (3578063)Termination phase: Saturation
% 15.39/2.71 % (3578063)Time elapsed: 0.019 s
% 15.39/2.71 % (3578063)Peak memory usage: 12 MB
% 15.39/2.71 % (3578063)Instructions burned: 36 (million)
% 15.39/2.71 % (3578067)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=475429285:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2978 on theBenchmark for (2978ds/670Mi)
% 15.39/2.71 % (3578068)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1008688665:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/647Mi)
% 15.39/2.71 % (3578068)Refutation not found, incomplete strategy
% 15.39/2.71 % (3578068)------------------------------
% 15.39/2.71 % (3578068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.71 % (3578068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.71 % (3578068)CaDiCaL version: 2.1.3
% 15.39/2.71 % (3578068)Termination reason: Refutation not found, incomplete strategy
% 15.39/2.71 % (3578068)Time elapsed: 0.001 s
% 15.39/2.71 % (3578068)Peak memory usage: 11 MB
% 15.39/2.71 % (3578068)------------------------------
% 15.39/2.71 % (3578068)------------------------------
% 15.39/2.71 % (3578071)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=3458586689:i=857:add=off:kws=frequency:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/857Mi)
% 15.39/2.71 % (3578047)Instruction limit reached!
% 15.39/2.71 % (3578047)------------------------------
% 15.39/2.71 % (3578047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.71 % (3578047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.71 % (3578047)CaDiCaL version: 2.1.3
% 15.39/2.71 % (3578047)Termination reason: Instruction limit
% 15.39/2.71 % (3578047)Termination phase: Saturation
% 15.39/2.71 % (3578047)Time elapsed: 0.240 s
% 16.02/2.84 % (3578047)Peak memory usage: 14 MB
% 16.02/2.84 % (3578047)Instructions burned: 445 (million)
% 16.02/2.84 % (3578074)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=690166097:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/693Mi)
% 16.02/2.84 % (3578042)Instruction limit reached!
% 16.02/2.84 % (3578042)------------------------------
% 16.02/2.84 % (3578042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3578042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3578042)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3578042)Termination reason: Instruction limit
% 16.02/2.84 % (3578042)Termination phase: Saturation
% 16.02/2.84 % (3578042)Time elapsed: 0.338 s
% 16.02/2.84 % (3578042)Peak memory usage: 12 MB
% 16.02/2.84 % (3578042)Instructions burned: 430 (million)
% 16.02/2.84 % (3578061)Instruction limit reached!
% 16.02/2.84 % (3578061)------------------------------
% 16.02/2.84 % (3578061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3578061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3578061)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3578061)Termination reason: Instruction limit
% 16.02/2.84 % (3578061)Termination phase: Saturation
% 16.02/2.84 % (3578061)Time elapsed: 0.215 s
% 16.02/2.84 % (3578061)Peak memory usage: 12 MB
% 16.02/2.84 % (3578061)Instructions burned: 493 (million)
% 16.02/2.84 % (3578076)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2996529233:i=285:hud=10:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/285Mi)
% 16.02/2.84 % (3578077)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.02/2.84 % (3578076)Refutation not found, incomplete strategy
% 16.02/2.84 % (3578076)------------------------------
% 16.02/2.84 % (3578076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3578076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3578076)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3578076)Termination reason: Refutation not found, incomplete strategy
% 16.02/2.84 % (3578076)Time elapsed: 0.005 s
% 16.02/2.84 % (3578076)Peak memory usage: 11 MB
% 16.02/2.84 % (3578076)Instructions burned: 1 (million)
% 16.02/2.84 % (3578077)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=3748969232:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2976 on theBenchmark for (2976ds/52Mi)
% 16.02/2.84 % (3578076)------------------------------
% 16.02/2.84 % (3578076)------------------------------
% 16.02/2.84 % (3578077)Instruction limit reached!
% 16.02/2.84 % (3578077)------------------------------
% 16.02/2.84 % (3578077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3578077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3578077)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3578077)Termination reason: Instruction limit
% 16.02/2.84 % (3578077)Termination phase: Saturation
% 16.02/2.84 % (3578077)Time elapsed: 0.021 s
% 16.02/2.84 % (3578077)Peak memory usage: 12 MB
% 16.02/2.84 % (3578077)Instructions burned: 55 (million)
% 16.02/2.84 % (3578080)dis+10_1_si=on:random_seed=55059211:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2976 on theBenchmark for (2976ds/407Mi)
% 16.02/2.84 % (3578080)Refutation not found, incomplete strategy
% 16.02/2.84 % (3578080)------------------------------
% 16.02/2.84 % (3578080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3578080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3578080)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3578080)Termination reason: Refutation not found, incomplete strategy
% 16.02/2.84 % (3578080)Time elapsed: 0.002 s
% 16.02/2.84 % (3578080)Peak memory usage: 11 MB
% 16.02/2.84 % (3578080)Instructions burned: 1 (million)
% 16.02/2.84 % (3578080)------------------------------
% 16.02/2.84 % (3578080)------------------------------
% 16.02/2.84 % (3578081)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=3162136918:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/2240Mi)
% 16.02/2.84 % (3578067)Instruction limit reached!
% 16.02/2.84 % (3578067)------------------------------
% 16.02/2.84 % (3578067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.14/3.13 % (3578067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.13 % (3578067)CaDiCaL version: 2.1.3
% 18.14/3.13 % (3578067)Termination reason: Instruction limit
% 18.14/3.13 % (3578067)Termination phase: Saturation
% 18.14/3.13 % (3578067)Time elapsed: 0.246 s
% 18.14/3.13 % (3578067)Peak memory usage: 12 MB
% 18.14/3.13 % (3578067)Instructions burned: 671 (million)
% 18.14/3.13 % (3578083)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3780380514:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/336Mi)
% 18.14/3.13 % (3578083)Refutation not found, incomplete strategy
% 18.14/3.13 % (3578083)------------------------------
% 18.14/3.13 % (3578083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.14/3.13 % (3578083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.13 % (3578083)CaDiCaL version: 2.1.3
% 18.14/3.13 % (3578083)Termination reason: Refutation not found, incomplete strategy
% 18.14/3.13 % (3578083)Time elapsed: 0.001 s
% 18.14/3.13 % (3578083)Peak memory usage: 11 MB
% 18.14/3.13 % (3578083)------------------------------
% 18.14/3.13 % (3578083)------------------------------
% 18.14/3.13 % (3578085)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4023709742:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2976 on theBenchmark for (2976ds/1142Mi)
% 18.14/3.13 % (3578087)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=423035843:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/376Mi)
% 18.14/3.13 % (3578087)Refutation not found, incomplete strategy
% 18.14/3.13 % (3578087)------------------------------
% 18.14/3.13 % (3578087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.14/3.13 % (3578087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.13 % (3578087)CaDiCaL version: 2.1.3
% 18.14/3.13 % (3578087)Termination reason: Refutation not found, incomplete strategy
% 18.14/3.13 % (3578087)Time elapsed: 0.001 s
% 18.14/3.13 % (3578087)Peak memory usage: 11 MB
% 18.14/3.13 % (3578087)Instructions burned: 1 (million)
% 18.14/3.13 % (3578087)------------------------------
% 18.14/3.13 % (3578087)------------------------------
% 18.14/3.13 % (3578085)Refutation not found, incomplete strategy
% 18.14/3.13 % (3578085)------------------------------
% 18.14/3.13 % (3578085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.14/3.13 % (3578085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.13 % (3578085)CaDiCaL version: 2.1.3
% 18.14/3.13 % (3578085)Termination reason: Refutation not found, incomplete strategy
% 18.14/3.13 % (3578085)Time elapsed: 0.009 s
% 18.14/3.13 % (3578085)Peak memory usage: 12 MB
% 18.14/3.13 % (3578085)Instructions burned: 15 (million)
% 18.14/3.13 % (3578085)------------------------------
% 18.14/3.13 % (3578085)------------------------------
% 18.14/3.13 % (3578091)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.14/3.13 % (3578090)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2607862559:i=766:bd=all:rtra=on_2975 on theBenchmark for (2975ds/766Mi)
% 18.14/3.13 % (3578091)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=937245414: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_2975 on theBenchmark for (2975ds/959Mi)
% 18.14/3.13 % (3578090)Refutation not found, incomplete strategy
% 18.14/3.13 % (3578090)------------------------------
% 18.14/3.13 % (3578090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.14/3.13 % (3578090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.13 % (3578090)CaDiCaL version: 2.1.3
% 18.14/3.13 % (3578090)Termination reason: Refutation not found, incomplete strategy
% 18.14/3.13 % (3578090)Time elapsed: 0.002 s
% 18.14/3.13 % (3578090)Peak memory usage: 12 MB
% 18.14/3.13 % (3578090)Instructions burned: 2 (million)
% 18.14/3.13 % (3578091)Refutation not found, incomplete strategy
% 18.14/3.13 % (3578091)------------------------------
% 18.14/3.13 % (3578091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.14/3.13 % (3578091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.13 % (3578091)CaDiCaL version: 2.1.3
% 19.11/3.28 % (3578091)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.28 % (3578091)Time elapsed: 0.001 s
% 19.11/3.28 % (3578091)Peak memory usage: 11 MB
% 19.11/3.28 % (3578090)------------------------------
% 19.11/3.28 % (3578090)------------------------------
% 19.11/3.28 % (3578091)------------------------------
% 19.11/3.28 % (3578091)------------------------------
% 19.11/3.28 % (3578094)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=2504388994:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2975 on theBenchmark for (2975ds/6359Mi)
% 19.11/3.28 % (3578095)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2405151856:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2975 on theBenchmark for (2975ds/35Mi)
% 19.11/3.28 % (3578095)Refutation not found, incomplete strategy
% 19.11/3.28 % (3578095)------------------------------
% 19.11/3.28 % (3578095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.28 % (3578095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.28 % (3578095)CaDiCaL version: 2.1.3
% 19.11/3.28 % (3578095)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.28 % (3578095)Time elapsed: 0.001 s
% 19.11/3.28 % (3578095)Peak memory usage: 11 MB
% 19.11/3.28 % (3578095)------------------------------
% 19.11/3.28 % (3578095)------------------------------
% 19.11/3.28 % (3578098)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1959902965:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/53Mi)
% 19.11/3.28 % (3578071)Instruction limit reached!
% 19.11/3.28 % (3578071)------------------------------
% 19.11/3.28 % (3578071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.28 % (3578071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.28 % (3578071)CaDiCaL version: 2.1.3
% 19.11/3.28 % (3578071)Termination reason: Instruction limit
% 19.11/3.28 % (3578071)Termination phase: Saturation
% 19.11/3.28 % (3578071)Time elapsed: 0.310 s
% 19.11/3.28 % (3578071)Peak memory usage: 13 MB
% 19.11/3.28 % (3578071)Instructions burned: 858 (million)
% 19.11/3.28 % (3578100)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=159965258:s2a=on:i=876:s2at=6:nm=2:rtra=on_2975 on theBenchmark for (2975ds/876Mi)
% 19.11/3.28 % (3578098)Instruction limit reached!
% 19.11/3.28 % (3578098)------------------------------
% 19.11/3.28 % (3578098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.28 % (3578098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.28 % (3578098)CaDiCaL version: 2.1.3
% 19.11/3.28 % (3578098)Termination reason: Instruction limit
% 19.11/3.28 % (3578098)Termination phase: Saturation
% 19.11/3.28 % (3578098)Time elapsed: 0.029 s
% 19.11/3.28 % (3578098)Peak memory usage: 12 MB
% 19.11/3.28 % (3578098)Instructions burned: 53 (million)
% 19.11/3.28 % (3578102)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2980193425:i=57:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/57Mi)
% 19.11/3.28 % (3578074)Instruction limit reached!
% 19.11/3.28 % (3578074)------------------------------
% 19.11/3.28 % (3578074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.28 % (3578074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.28 % (3578074)CaDiCaL version: 2.1.3
% 19.11/3.28 % (3578074)Termination reason: Instruction limit
% 19.11/3.28 % (3578074)Termination phase: Saturation
% 19.11/3.28 % (3578074)Time elapsed: 0.270 s
% 19.11/3.28 % (3578074)Peak memory usage: 12 MB
% 19.11/3.28 % (3578074)Instructions burned: 694 (million)
% 19.11/3.28 % (3578102)Instruction limit reached!
% 19.11/3.28 % (3578102)------------------------------
% 19.11/3.28 % (3578102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.11/3.28 % (3578102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.28 % (3578102)CaDiCaL version: 2.1.3
% 19.11/3.28 % (3578102)Termination reason: Instruction limit
% 19.11/3.28 % (3578102)Termination phase: Saturation
% 19.11/3.28 % (3578102)Time elapsed: 0.038 s
% 19.11/3.28 % (3578102)Peak memory usage: 12 MB
% 19.11/3.28 % (3578102)Instructions burned: 57 (million)
% 19.11/3.28 % (3578104)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.48/3.47 % (3578104)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=776078240:i=306:bd=all:rtra=on_2974 on theBenchmark for (2974ds/306Mi)
% 20.48/3.47 % (3578104)Refutation not found, incomplete strategy
% 20.48/3.47 % (3578104)------------------------------
% 20.48/3.47 % (3578104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.48/3.47 % (3578104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.48/3.47 % (3578104)CaDiCaL version: 2.1.3
% 20.48/3.47 % (3578104)Termination reason: Refutation not found, incomplete strategy
% 20.48/3.47 % (3578104)Time elapsed: 0.001 s
% 20.48/3.47 % (3578104)Peak memory usage: 12 MB
% 20.48/3.47 % (3578104)Instructions burned: 2 (million)
% 20.48/3.47 % (3578104)------------------------------
% 20.48/3.47 % (3578104)------------------------------
% 20.48/3.47 % (3578107)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 20.48/3.47 % (3578107)ott+1002_16_sil=128000:si=on:random_seed=2668023410:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 20.48/3.48 % (3578105)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2936402519:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 20.48/3.48 % (3578105)Refutation not found, incomplete strategy
% 20.48/3.48 % (3578105)------------------------------
% 20.48/3.48 % (3578105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.48/3.48 % (3578105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.48/3.48 % (3578105)CaDiCaL version: 2.1.3
% 20.48/3.48 % (3578105)Termination reason: Refutation not found, incomplete strategy
% 20.48/3.48 % (3578105)Time elapsed: 0.005 s
% 20.48/3.48 % (3578105)Peak memory usage: 11 MB
% 20.48/3.48 % (3578105)Instructions burned: 1 (million)
% 20.48/3.48 % (3578105)------------------------------
% 20.48/3.48 % (3578105)------------------------------
% 20.48/3.48 % (3578110)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=652082067:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 20.48/3.48 % (3578107)Instruction limit reached!
% 20.48/3.48 % (3578107)------------------------------
% 20.48/3.48 % (3578107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.48/3.48 % (3578107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.48/3.48 % (3578107)CaDiCaL version: 2.1.3
% 20.48/3.48 % (3578107)Termination reason: Instruction limit
% 20.48/3.48 % (3578107)Termination phase: Saturation
% 20.48/3.48 % (3578107)Time elapsed: 0.171 s
% 20.48/3.48 % (3578107)Peak memory usage: 12 MB
% 20.48/3.48 % (3578107)Instructions burned: 409 (million)
% 20.48/3.48 % (3578114)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2800330852:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 20.48/3.48 % (3578110)Instruction limit reached!
% 20.48/3.48 % (3578110)------------------------------
% 20.48/3.48 % (3578110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.48/3.48 % (3578110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.48/3.48 % (3578110)CaDiCaL version: 2.1.3
% 20.48/3.48 % (3578110)Termination reason: Instruction limit
% 20.48/3.48 % (3578110)Termination phase: Saturation
% 20.48/3.48 % (3578110)Time elapsed: 0.176 s
% 20.48/3.48 % (3578110)Peak memory usage: 12 MB
% 20.48/3.48 % (3578110)Instructions burned: 383 (million)
% 20.48/3.48 % (3578116)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3366232610:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 20.48/3.48 % (3578116)Refutation not found, incomplete strategy
% 20.48/3.48 % (3578116)------------------------------
% 20.48/3.48 % (3578116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.48/3.48 % (3578116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.48/3.48 % (3578116)CaDiCaL version: 2.1.3
% 20.48/3.48 % (3578116)Termination reason: Refutation not found, incomplete strategy
% 20.48/3.48 % (3578116)Time elapsed: 0.001 s
% 20.48/3.48 % (3578116)Peak memory usage: 12 MB
% 20.48/3.48 % (3578116)Instructions burned: 1 (million)
% 20.48/3.48 % (3578116)------------------------------
% 20.48/3.48 % (3578116)------------------------------
% 20.48/3.48 % (3578118)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.11/3.76 % (3578118)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4011269854:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 22.11/3.76 % (3578100)Instruction limit reached!
% 22.11/3.76 % (3578100)------------------------------
% 22.11/3.76 % (3578100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.11/3.76 % (3578100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.11/3.76 % (3578100)CaDiCaL version: 2.1.3
% 22.11/3.76 % (3578100)Termination reason: Instruction limit
% 22.11/3.76 % (3578100)Termination phase: Saturation
% 22.11/3.76 % (3578100)Time elapsed: 0.402 s
% 22.11/3.76 % (3578100)Peak memory usage: 13 MB
% 22.11/3.76 % (3578100)Instructions burned: 878 (million)
% 22.11/3.76 % (3578118)Instruction limit reached!
% 22.11/3.76 % (3578118)------------------------------
% 22.11/3.76 % (3578118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.11/3.76 % (3578118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.11/3.76 % (3578118)CaDiCaL version: 2.1.3
% 22.11/3.76 % (3578118)Termination reason: Instruction limit
% 22.11/3.76 % (3578118)Termination phase: Saturation
% 22.11/3.76 % (3578118)Time elapsed: 0.049 s
% 22.11/3.76 % (3578118)Peak memory usage: 12 MB
% 22.11/3.76 % (3578118)Instructions burned: 124 (million)
% 22.11/3.76 % (3578114)Instruction limit reached!
% 22.11/3.76 % (3578114)------------------------------
% 22.11/3.76 % (3578114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.11/3.76 % (3578114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.11/3.76 % (3578114)CaDiCaL version: 2.1.3
% 22.11/3.76 % (3578114)Termination reason: Instruction limit
% 22.11/3.76 % (3578114)Termination phase: Saturation
% 22.11/3.76 % (3578114)Time elapsed: 0.143 s
% 22.11/3.76 % (3578114)Peak memory usage: 12 MB
% 22.11/3.76 % (3578114)Instructions burned: 324 (million)
% 22.11/3.76 % (3578120)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=12818502:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/223Mi)
% 22.11/3.76 % (3578121)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3741208785:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 22.11/3.76 % (3578122)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3745163666:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/464Mi)
% 22.11/3.76 % (3578122)Refutation not found, incomplete strategy
% 22.11/3.76 % (3578122)------------------------------
% 22.11/3.76 % (3578122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.11/3.76 % (3578122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.11/3.76 % (3578122)CaDiCaL version: 2.1.3
% 22.11/3.76 % (3578122)Termination reason: Refutation not found, incomplete strategy
% 22.11/3.76 % (3578122)Time elapsed: 0.001 s
% 22.11/3.76 % (3578122)Peak memory usage: 11 MB
% 22.11/3.76 % (3578122)Instructions burned: 1 (million)
% 22.11/3.76 % (3578122)------------------------------
% 22.11/3.76 % (3578122)------------------------------
% 22.11/3.76 % (3578126)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=1741188415:i=88:s2at=3:nm=2:rtra=on:rawr=on_2970 on theBenchmark for (2970ds/88Mi)
% 22.11/3.76 % (3578126)Instruction limit reached!
% 22.11/3.76 % (3578126)------------------------------
% 22.11/3.76 % (3578126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.11/3.76 % (3578126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.11/3.76 % (3578126)CaDiCaL version: 2.1.3
% 22.11/3.76 % (3578126)Termination reason: Instruction limit
% 22.11/3.76 % (3578126)Termination phase: Saturation
% 22.11/3.76 % (3578126)Time elapsed: 0.038 s
% 22.11/3.76 % (3578126)Peak memory usage: 12 MB
% 22.11/3.76 % (3578126)Instructions burned: 90 (million)
% 22.11/3.76 % (3578120)Instruction limit reached!
% 22.11/3.76 % (3578120)------------------------------
% 22.11/3.76 % (3578120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.11/3.76 % (3578120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.11/3.76 % (3578120)CaDiCaL version: 2.1.3
% 22.11/3.76 % (3578120)Termination reason: Instruction limit
% 22.11/3.76 % (3578120)Termination phase: Saturation
% 22.11/3.76 % (3578120)Time elapsed: 0.078 s
% 22.11/3.76 % (3578120)Peak memory usage: 13 MB
% 23.08/3.92 % (3578120)Instructions burned: 225 (million)
% 23.08/3.92 % (3578129)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 23.08/3.92 % (3578128)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=318356214:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 23.08/3.92 % (3578129)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4260711243:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/4386Mi)
% 23.08/3.92 % (3578121)Instruction limit reached!
% 23.08/3.92 % (3578121)------------------------------
% 23.08/3.92 % (3578121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/3.92 % (3578121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/3.92 % (3578121)CaDiCaL version: 2.1.3
% 23.08/3.92 % (3578121)Termination reason: Instruction limit
% 23.08/3.92 % (3578121)Termination phase: Saturation
% 23.08/3.92 % (3578121)Time elapsed: 0.145 s
% 23.08/3.92 % (3578121)Peak memory usage: 13 MB
% 23.08/3.92 % (3578121)Instructions burned: 282 (million)
% 23.08/3.92 % (3578132)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 23.08/3.92 % (3578132)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 23.08/3.92 % (3578132)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=1040800071:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2969 on theBenchmark for (2969ds/483Mi)
% 23.08/3.92 % (3578132)Refutation not found, incomplete strategy
% 23.08/3.92 % (3578132)------------------------------
% 23.08/3.92 % (3578132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/3.92 % (3578132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/3.92 % (3578132)CaDiCaL version: 2.1.3
% 23.08/3.92 % (3578132)Termination reason: Refutation not found, incomplete strategy
% 23.08/3.92 % (3578132)Time elapsed: 0.001 s
% 23.08/3.92 % (3578132)Peak memory usage: 12 MB
% 23.08/3.92 % (3578132)Instructions burned: 1 (million)
% 23.08/3.92 % (3578132)------------------------------
% 23.08/3.92 % (3578132)------------------------------
% 23.08/3.92 % (3578134)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3245570878:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 23.08/3.92 % (3578134)Refutation not found, incomplete strategy
% 23.08/3.92 % (3578134)------------------------------
% 23.08/3.92 % (3578134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/3.92 % (3578134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/3.92 % (3578134)CaDiCaL version: 2.1.3
% 23.08/3.92 % (3578134)Termination reason: Refutation not found, incomplete strategy
% 23.08/3.92 % (3578134)Time elapsed: 0.002 s
% 23.08/3.92 % (3578134)Peak memory usage: 12 MB
% 23.08/3.92 % (3578134)Instructions burned: 2 (million)
% 23.08/3.92 % (3578134)------------------------------
% 23.08/3.92 % (3578134)------------------------------
% 23.08/3.92 % (3578136)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2059826430:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/176Mi)
% 23.08/3.92 % (3578128)Instruction limit reached!
% 23.08/3.92 % (3578128)------------------------------
% 23.08/3.92 % (3578128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/3.92 % (3578128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/3.92 % (3578128)CaDiCaL version: 2.1.3
% 23.08/3.92 % (3578128)Termination reason: Instruction limit
% 23.08/3.92 % (3578128)Termination phase: Saturation
% 23.08/3.92 % (3578128)Time elapsed: 0.138 s
% 23.08/3.92 % (3578128)Peak memory usage: 12 MB
% 23.08/3.92 % (3578128)Instructions burned: 281 (million)
% 23.08/3.92 % (3578138)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 23.08/3.92 % (3578138)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=83583783:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2968 on theBenchmark for (2968ds/39Mi)
% 23.08/3.92 % (3578138)Instruction limit reached!
% 25.61/4.17 % (3578138)------------------------------
% 25.61/4.17 % (3578138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.61/4.17 % (3578138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.61/4.17 % (3578138)CaDiCaL version: 2.1.3
% 25.61/4.17 % (3578138)Termination reason: Instruction limit
% 25.61/4.17 % (3578138)Termination phase: Saturation
% 25.61/4.17 % (3578138)Time elapsed: 0.021 s
% 25.61/4.17 % (3578138)Peak memory usage: 12 MB
% 25.61/4.17 % (3578138)Instructions burned: 39 (million)
% 25.61/4.17 % (3578140)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1816306610:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 25.61/4.17 % (3578136)Instruction limit reached!
% 25.61/4.17 % (3578136)------------------------------
% 25.61/4.17 % (3578136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.61/4.17 % (3578136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.61/4.17 % (3578136)CaDiCaL version: 2.1.3
% 25.61/4.17 % (3578136)Termination reason: Instruction limit
% 25.61/4.17 % (3578136)Termination phase: Saturation
% 25.61/4.17 % (3578136)Time elapsed: 0.080 s
% 25.61/4.17 % (3578136)Peak memory usage: 12 MB
% 25.61/4.17 % (3578136)Instructions burned: 177 (million)
% 25.61/4.17 % (3578142)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
% 25.61/4.17 % (3578142)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=1180021507:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 25.61/4.17 % (3578142)Instruction limit reached!
% 25.61/4.17 % (3578142)------------------------------
% 25.61/4.17 % (3578142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.61/4.17 % (3578142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.61/4.17 % (3578142)CaDiCaL version: 2.1.3
% 25.61/4.17 % (3578142)Termination reason: Instruction limit
% 25.61/4.17 % (3578142)Termination phase: Saturation
% 25.61/4.17 % (3578142)Time elapsed: 0.099 s
% 25.61/4.17 % (3578142)Peak memory usage: 12 MB
% 25.61/4.17 % (3578142)Instructions burned: 252 (million)
% 25.61/4.17 % (3578144)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3439670866:i=823:fsr=off:rtra=on_2966 on theBenchmark for (2966ds/823Mi)
% 25.61/4.17 % (3578009)Instruction limit reached!
% 25.61/4.17 % (3578009)------------------------------
% 25.61/4.17 % (3578009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.61/4.17 % (3578009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.61/4.17 % (3578009)CaDiCaL version: 2.1.3
% 25.61/4.17 % (3578009)Termination reason: Instruction limit
% 25.61/4.17 % (3578009)Termination phase: Saturation
% 25.61/4.17 % (3578009)Time elapsed: 1.999 s
% 25.61/4.17 % (3578009)Peak memory usage: 17 MB
% 25.61/4.17 % (3578009)Instructions burned: 2470 (million)
% 25.61/4.17 % (3578146)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 25.61/4.17 % (3578140)Instruction limit reached!
% 25.61/4.17 % (3578140)------------------------------
% 25.61/4.17 % (3578140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.61/4.17 % (3578140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.61/4.17 % (3578140)CaDiCaL version: 2.1.3
% 25.61/4.17 % (3578140)Termination reason: Instruction limit
% 25.61/4.17 % (3578140)Termination phase: Saturation
% 25.61/4.17 % (3578140)Time elapsed: 0.260 s
% 25.61/4.17 % (3578140)Peak memory usage: 13 MB
% 25.61/4.17 % (3578140)Instructions burned: 710 (million)
% 25.61/4.17 % (3578146)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3133132872:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/16202Mi)
% 25.61/4.17 % (3578146)Refutation not found, incomplete strategy
% 25.61/4.17 % (3578146)------------------------------
% 25.61/4.17 % (3578146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.61/4.17 % (3578146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.61/4.17 % (3578146)CaDiCaL version: 2.1.3
% 25.61/4.17 % (3578146)Termination reason: Refutation not found, incomplete strategy
% 26.45/4.39 % (3578146)Time elapsed: 0.001 s
% 26.45/4.39 % (3578146)Peak memory usage: 11 MB
% 26.45/4.39 % (3578146)Instructions burned: 1 (million)
% 26.45/4.39 % (3578146)------------------------------
% 26.45/4.39 % (3578146)------------------------------
% 26.45/4.39 % (3578149)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 26.45/4.39 % (3578149)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 26.45/4.39 % (3578148)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1805680665:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/300Mi)
% 26.45/4.39 % (3578149)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3358313451:i=177:add=on:bd=preordered:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/177Mi)
% 26.45/4.39 % (3578081)Instruction limit reached!
% 26.45/4.39 % (3578081)------------------------------
% 26.45/4.39 % (3578081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.45/4.39 % (3578081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.45/4.39 % (3578081)CaDiCaL version: 2.1.3
% 26.45/4.39 % (3578081)Termination reason: Instruction limit
% 26.45/4.39 % (3578081)Termination phase: Saturation
% 26.45/4.39 % (3578081)Time elapsed: 1.156 s
% 26.45/4.39 % (3578081)Peak memory usage: 17 MB
% 26.45/4.39 % (3578081)Instructions burned: 2241 (million)
% 26.45/4.39 % (3578152)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3405093343:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/715Mi)
% 26.45/4.39 % (3578152)Refutation not found, incomplete strategy
% 26.45/4.39 % (3578152)------------------------------
% 26.45/4.39 % (3578152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.45/4.39 % (3578152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.45/4.39 % (3578152)CaDiCaL version: 2.1.3
% 26.45/4.39 % (3578152)Termination reason: Refutation not found, incomplete strategy
% 26.45/4.39 % (3578152)Time elapsed: 0.001 s
% 26.45/4.39 % (3578152)Peak memory usage: 11 MB
% 26.45/4.39 % (3578152)Instructions burned: 1 (million)
% 26.45/4.39 % (3578152)------------------------------
% 26.45/4.39 % (3578152)------------------------------
% 26.45/4.39 % (3578154)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 26.45/4.39 % (3578154)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 26.45/4.39 % (3578154)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=1793030128:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 26.45/4.39 % (3578154)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 26.45/4.39 % (3578149)Instruction limit reached!
% 26.45/4.39 % (3578149)------------------------------
% 26.45/4.39 % (3578149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.45/4.39 % (3578149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.45/4.39 % (3578149)CaDiCaL version: 2.1.3
% 26.45/4.39 % (3578149)Termination reason: Instruction limit
% 26.45/4.39 % (3578149)Termination phase: Saturation
% 26.45/4.39 % (3578149)Time elapsed: 0.085 s
% 26.45/4.39 % (3578149)Peak memory usage: 13 MB
% 26.45/4.39 % (3578149)Instructions burned: 178 (million)
% 26.45/4.39 % (3578156)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1549622753:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2964 on theBenchmark for (2964ds/606Mi)
% 26.45/4.39 % (3578148)Instruction limit reached!
% 26.45/4.39 % (3578148)------------------------------
% 26.45/4.39 % (3578148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.45/4.39 % (3578148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.45/4.39 % (3578148)CaDiCaL version: 2.1.3
% 26.45/4.39 % (3578148)Termination reason: Instruction limit
% 26.45/4.39 % (3578148)Termination phase: Saturation
% 26.45/4.39 % (3578148)Time elapsed: 0.130 s
% 26.45/4.39 % (3578148)Peak memory usage: 12 MB
% 26.45/4.39 % (3578148)Instructions burned: 302 (million)
% 26.45/4.39 % (3578158)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 26.91/4.48 % (3578158)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4019831465:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 26.91/4.48 % (3578154)Instruction limit reached!
% 26.91/4.48 % (3578154)------------------------------
% 26.91/4.48 % (3578154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.91/4.48 % (3578154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.48 % (3578154)CaDiCaL version: 2.1.3
% 26.91/4.48 % (3578154)Termination reason: Instruction limit
% 26.91/4.48 % (3578154)Termination phase: Saturation
% 26.91/4.48 % (3578154)Time elapsed: 0.108 s
% 26.91/4.48 % (3578154)Peak memory usage: 12 MB
% 26.91/4.48 % (3578154)Instructions burned: 231 (million)
% 26.91/4.48 % (3578160)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2685645446:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2963 on theBenchmark for (2963ds/445Mi)
% 26.91/4.48 % (3578144)Instruction limit reached!
% 26.91/4.48 % (3578144)------------------------------
% 26.91/4.48 % (3578144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.91/4.48 % (3578144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.48 % (3578144)CaDiCaL version: 2.1.3
% 26.91/4.48 % (3578144)Termination reason: Instruction limit
% 26.91/4.48 % (3578144)Termination phase: Saturation
% 26.91/4.48 % (3578144)Time elapsed: 0.319 s
% 26.91/4.48 % (3578144)Peak memory usage: 13 MB
% 26.91/4.48 % (3578144)Instructions burned: 823 (million)
% 26.91/4.48 % (3578162)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=525266889:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2963 on theBenchmark for (2963ds/71Mi)
% 26.91/4.48 % (3578162)Instruction limit reached!
% 26.91/4.48 % (3578162)------------------------------
% 26.91/4.48 % (3578162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.91/4.48 % (3578162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.48 % (3578162)CaDiCaL version: 2.1.3
% 26.91/4.48 % (3578162)Termination reason: Instruction limit
% 26.91/4.48 % (3578162)Termination phase: Saturation
% 26.91/4.48 % (3578162)Time elapsed: 0.033 s
% 26.91/4.48 % (3578162)Peak memory usage: 12 MB
% 26.91/4.48 % (3578162)Instructions burned: 73 (million)
% 26.91/4.48 % (3578164)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 26.91/4.48 % (3578164)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 26.91/4.48 % (3578164)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3409336998:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2962 on theBenchmark for (2962ds/100Mi)
% 26.91/4.48 % (3578164)Instruction limit reached!
% 26.91/4.48 % (3578164)------------------------------
% 26.91/4.48 % (3578164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.91/4.48 % (3578164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.48 % (3578164)CaDiCaL version: 2.1.3
% 26.91/4.48 % (3578164)Termination reason: Instruction limit
% 26.91/4.48 % (3578164)Termination phase: Saturation
% 26.91/4.48 % (3578164)Time elapsed: 0.084 s
% 26.91/4.48 % (3578164)Peak memory usage: 12 MB
% 26.91/4.48 % (3578164)Instructions burned: 100 (million)
% 26.91/4.48 % (3578166)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 26.91/4.48 % (3578166)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=225153429:i=1352:add=on:aac=none:rtra=on_2961 on theBenchmark for (2961ds/1352Mi)
% 26.91/4.48 % (3578166)Refutation not found, incomplete strategy
% 26.91/4.48 % (3578166)------------------------------
% 26.91/4.48 % (3578166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.91/4.48 % (3578166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.48 % (3578166)CaDiCaL version: 2.1.3
% 26.91/4.48 % (3578166)Termination reason: Refutation not found, incomplete strategy
% 26.91/4.48 % (3578166)Time elapsed: 0.002 s
% 27.56/4.57 % (3578166)Peak memory usage: 12 MB
% 27.56/4.57 % (3578166)Instructions burned: 3 (million)
% 27.56/4.57 % (3578166)------------------------------
% 27.56/4.57 % (3578166)------------------------------
% 27.56/4.57 % (3578160)Instruction limit reached!
% 27.56/4.57 % (3578160)------------------------------
% 27.56/4.57 % (3578160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.57 % (3578160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.57 % (3578160)CaDiCaL version: 2.1.3
% 27.56/4.57 % (3578160)Termination reason: Instruction limit
% 27.56/4.57 % (3578160)Termination phase: Saturation
% 27.56/4.57 % (3578160)Time elapsed: 0.226 s
% 27.56/4.57 % (3578160)Peak memory usage: 15 MB
% 27.56/4.57 % (3578160)Instructions burned: 445 (million)
% 27.56/4.57 % (3578168)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=874358405:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2960 on theBenchmark for (2960ds/646Mi)
% 27.56/4.57 % (3578169)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=887505087:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/1924Mi)
% 27.56/4.57 % (3578169)Refutation not found, incomplete strategy
% 27.56/4.57 % (3578169)------------------------------
% 27.56/4.57 % (3578169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.57 % (3578169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.57 % (3578169)CaDiCaL version: 2.1.3
% 27.56/4.57 % (3578169)Termination reason: Refutation not found, incomplete strategy
% 27.56/4.57 % (3578169)Time elapsed: 0.001 s
% 27.56/4.57 % (3578169)Peak memory usage: 11 MB
% 27.56/4.57 % (3578169)Instructions burned: 1 (million)
% 27.56/4.57 % (3578169)------------------------------
% 27.56/4.57 % (3578169)------------------------------
% 27.56/4.57 % (3578172)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3475380419:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/984Mi)
% 27.56/4.57 % (3578172)Refutation not found, incomplete strategy
% 27.56/4.57 % (3578172)------------------------------
% 27.56/4.57 % (3578172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.57 % (3578172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.57 % (3578172)CaDiCaL version: 2.1.3
% 27.56/4.57 % (3578172)Termination reason: Refutation not found, incomplete strategy
% 27.56/4.57 % (3578172)Time elapsed: 0.002 s
% 27.56/4.57 % (3578172)Peak memory usage: 12 MB
% 27.56/4.57 % (3578172)Instructions burned: 2 (million)
% 27.56/4.57 % (3578172)------------------------------
% 27.56/4.57 % (3578172)------------------------------
% 27.56/4.57 % (3578174)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=406152485:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/592Mi)
% 27.56/4.57 % (3578156)Instruction limit reached!
% 27.56/4.57 % (3578156)------------------------------
% 27.56/4.57 % (3578156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.57 % (3578156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.57 % (3578156)CaDiCaL version: 2.1.3
% 27.56/4.57 % (3578156)Termination reason: Instruction limit
% 27.56/4.57 % (3578156)Termination phase: Saturation
% 27.56/4.57 % (3578156)Time elapsed: 0.450 s
% 27.56/4.57 % (3578156)Peak memory usage: 12 MB
% 27.56/4.57 % (3578156)Instructions burned: 607 (million)
% 27.56/4.57 % (3578176)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2798982875:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2959 on theBenchmark for (2959ds/872Mi)
% 27.56/4.57 % (3578176)Refutation not found, incomplete strategy
% 27.56/4.57 % (3578176)------------------------------
% 27.56/4.57 % (3578176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.57 % (3578176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.57 % (3578176)CaDiCaL version: 2.1.3
% 27.56/4.57 % (3578176)Termination reason: Refutation not found, incomplete strategy
% 27.56/4.57 % (3578176)Time elapsed: 0.002 s
% 27.56/4.57 % (3578176)Peak memory usage: 11 MB
% 27.56/4.57 % (3578176)Instructions burned: 1 (million)
% 27.56/4.57 % (3578176)------------------------------
% 27.56/4.57 % (3578176)------------------------------
% 27.56/4.57 % (3578158)Instruction limit reached!
% 27.56/4.57 % (3578158)------------------------------
% 27.56/4.57 % (3578158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.97/4.80 % (3578158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.97/4.80 % (3578158)CaDiCaL version: 2.1.3
% 28.97/4.80 % (3578158)Termination reason: Instruction limit
% 28.97/4.80 % (3578158)Termination phase: Saturation
% 28.97/4.80 % (3578158)Time elapsed: 0.458 s
% 28.97/4.80 % (3578158)Peak memory usage: 13 MB
% 28.97/4.80 % (3578158)Instructions burned: 842 (million)
% 28.97/4.80 % (3578178)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 28.97/4.80 % (3578178)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=3551979591:i=999:add=on:rtra=on_2958 on theBenchmark for (2958ds/999Mi)
% 28.97/4.80 % (3578179)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 28.97/4.80 % (3578179)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=3984490917:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2958 on theBenchmark for (2958ds/244Mi)
% 28.97/4.80 % (3578179)Refutation not found, incomplete strategy
% 28.97/4.80 % (3578179)------------------------------
% 28.97/4.80 % (3578179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.97/4.80 % (3578179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.97/4.80 % (3578179)CaDiCaL version: 2.1.3
% 28.97/4.80 % (3578179)Termination reason: Refutation not found, incomplete strategy
% 28.97/4.80 % (3578179)Time elapsed: 0.002 s
% 28.97/4.80 % (3578179)Peak memory usage: 11 MB
% 28.97/4.80 % (3578179)Instructions burned: 3 (million)
% 28.97/4.80 % (3578179)------------------------------
% 28.97/4.80 % (3578179)------------------------------
% 28.97/4.80 % (3578182)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1763915518:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/113Mi)
% 28.97/4.80 % (3578182)Refutation not found, incomplete strategy
% 28.97/4.80 % (3578182)------------------------------
% 28.97/4.80 % (3578182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.97/4.80 % (3578182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.97/4.80 % (3578182)CaDiCaL version: 2.1.3
% 28.97/4.80 % (3578182)Termination reason: Refutation not found, incomplete strategy
% 28.97/4.80 % (3578182)Time elapsed: 0.002 s
% 28.97/4.80 % (3578182)Peak memory usage: 12 MB
% 28.97/4.80 % (3578182)Instructions burned: 2 (million)
% 28.97/4.80 % (3578182)------------------------------
% 28.97/4.80 % (3578182)------------------------------
% 28.97/4.80 % (3578184)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2285524871:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/7795Mi)
% 28.97/4.80 % (3578184)Refutation not found, incomplete strategy
% 28.97/4.80 % (3578184)------------------------------
% 28.97/4.80 % (3578184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.97/4.80 % (3578184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.97/4.80 % (3578184)CaDiCaL version: 2.1.3
% 28.97/4.80 % (3578184)Termination reason: Refutation not found, incomplete strategy
% 28.97/4.80 % (3578184)Time elapsed: 0.001 s
% 28.97/4.80 % (3578184)Peak memory usage: 11 MB
% 28.97/4.80 % (3578184)------------------------------
% 28.97/4.80 % (3578184)------------------------------
% 28.97/4.80 % (3578174)Instruction limit reached!
% 28.97/4.80 % (3578174)------------------------------
% 28.97/4.80 % (3578174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.97/4.80 % (3578174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.97/4.80 % (3578174)CaDiCaL version: 2.1.3
% 28.97/4.80 % (3578174)Termination reason: Instruction limit
% 28.97/4.80 % (3578174)Termination phase: Saturation
% 28.97/4.80 % (3578174)Time elapsed: 0.214 s
% 28.97/4.80 % (3578174)Peak memory usage: 13 MB
% 28.97/4.80 % (3578174)Instructions burned: 594 (million)
% 28.97/4.80 % (3578187)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 28.97/4.80 % (3578187)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=4182600359:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2958 on theBenchmark for (2958ds/763Mi)
% 31.91/5.09 % (3578187)Refutation not found, incomplete strategy
% 31.91/5.09 % (3578187)------------------------------
% 31.91/5.09 % (3578187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.91/5.09 % (3578187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.09 % (3578187)CaDiCaL version: 2.1.3
% 31.91/5.09 % (3578187)Termination reason: Refutation not found, incomplete strategy
% 31.91/5.09 % (3578187)Time elapsed: 0.0000 s
% 31.91/5.09 % (3578187)Peak memory usage: 11 MB
% 31.91/5.09 % (3578187)Instructions burned: 1 (million)
% 31.91/5.09 % (3578187)------------------------------
% 31.91/5.09 % (3578187)------------------------------
% 31.91/5.09 % (3578186)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3030137659:st=2:i=5026:sd=1:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/5026Mi)
% 31.91/5.09 % (3578186)Refutation not found, incomplete strategy
% 31.91/5.09 % (3578186)------------------------------
% 31.91/5.09 % (3578186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.91/5.09 % (3578186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.09 % (3578186)CaDiCaL version: 2.1.3
% 31.91/5.09 % (3578186)Termination reason: Refutation not found, incomplete strategy
% 31.91/5.09 % (3578186)Time elapsed: 0.001 s
% 31.91/5.09 % (3578186)Peak memory usage: 11 MB
% 31.91/5.09 % (3578186)------------------------------
% 31.91/5.09 % (3578186)------------------------------
% 31.91/5.09 % (3578189)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2711330186:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/1144Mi)
% 31.91/5.09 % (3578189)Refutation not found, incomplete strategy
% 31.91/5.09 % (3578189)------------------------------
% 31.91/5.09 % (3578189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.91/5.09 % (3578189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.09 % (3578189)CaDiCaL version: 2.1.3
% 31.91/5.09 % (3578189)Termination reason: Refutation not found, incomplete strategy
% 31.91/5.09 % (3578189)Time elapsed: 0.0000 s
% 31.91/5.09 % (3578189)Peak memory usage: 11 MB
% 31.91/5.09 % (3578189)------------------------------
% 31.91/5.09 % (3578189)------------------------------
% 31.91/5.09 % (3578192)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 31.91/5.09 % (3578168)Instruction limit reached!
% 31.91/5.09 % (3578168)------------------------------
% 31.91/5.09 % (3578168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.91/5.09 % (3578168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.09 % (3578168)CaDiCaL version: 2.1.3
% 31.91/5.09 % (3578168)Termination reason: Instruction limit
% 31.91/5.09 % (3578168)Termination phase: Saturation
% 31.91/5.09 % (3578168)Time elapsed: 0.305 s
% 31.91/5.09 % (3578168)Peak memory usage: 14 MB
% 31.91/5.09 % (3578168)Instructions burned: 647 (million)
% 31.91/5.09 % (3578192)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=3426310586:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2957 on theBenchmark for (2957ds/52Mi)
% 31.91/5.09 % (3578194)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4048833764:i=1724:fsr=off:rtra=on:fe=abstraction_2957 on theBenchmark for (2957ds/1724Mi)
% 31.91/5.09 % (3578195)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=1751290376:i=439:add=on:slsql=off:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/439Mi)
% 31.91/5.09 % (3578192)Instruction limit reached!
% 31.91/5.09 % (3578192)------------------------------
% 31.91/5.09 % (3578192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.91/5.09 % (3578192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.09 % (3578192)CaDiCaL version: 2.1.3
% 31.91/5.09 % (3578192)Termination reason: Instruction limit
% 31.91/5.09 % (3578192)Termination phase: Saturation
% 31.91/5.09 % (3578192)Time elapsed: 0.040 s
% 31.91/5.09 % (3578192)Peak memory usage: 12 MB
% 31.91/5.09 % (3578192)Instructions burned: 52 (million)
% 31.91/5.09 % (3578199)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3503289371:i=6395:sd=1:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/6395Mi)
% 31.91/5.09 % (3578199)Refutation not found, incomplete strategy
% 32.83/5.30 % (3578199)------------------------------
% 32.83/5.30 % (3578199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.83/5.30 % (3578199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.83/5.30 % (3578199)CaDiCaL version: 2.1.3
% 32.83/5.30 % (3578199)Termination reason: Refutation not found, incomplete strategy
% 32.83/5.30 % (3578199)Time elapsed: 0.001 s
% 32.83/5.30 % (3578199)Peak memory usage: 11 MB
% 32.83/5.30 % (3578199)Instructions burned: 1 (million)
% 32.83/5.30 % (3578199)------------------------------
% 32.83/5.30 % (3578199)------------------------------
% 32.83/5.30 % (3578201)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 32.83/5.30 % (3578201)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=517361763:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/6762Mi)
% 32.83/5.30 % (3578201)Refutation not found, incomplete strategy
% 32.83/5.30 % (3578201)------------------------------
% 32.83/5.30 % (3578201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.83/5.30 % (3578201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.83/5.30 % (3578201)CaDiCaL version: 2.1.3
% 32.83/5.30 % (3578201)Termination reason: Refutation not found, incomplete strategy
% 32.83/5.30 % (3578201)Time elapsed: 0.001 s
% 32.83/5.30 % (3578201)Peak memory usage: 11 MB
% 32.83/5.30 % (3578201)------------------------------
% 32.83/5.30 % (3578201)------------------------------
% 32.83/5.30 % (3578203)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 32.83/5.30 % (3578203)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=3562497967:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2956 on theBenchmark for (2956ds/376Mi)
% 32.83/5.30 % (3577943)Instruction limit reached!
% 32.83/5.30 % (3577943)------------------------------
% 32.83/5.30 % (3577943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.83/5.30 % (3577943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.83/5.30 % (3577943)CaDiCaL version: 2.1.3
% 32.83/5.30 % (3577943)Termination reason: Instruction limit
% 32.83/5.30 % (3577943)Termination phase: Saturation
% 32.83/5.30 % (3577943)Time elapsed: 3.535 s
% 32.83/5.30 % (3577943)Peak memory usage: 18 MB
% 32.83/5.30 % (3577943)Instructions burned: 9843 (million)
% 32.83/5.30 % (3578195)Instruction limit reached!
% 32.83/5.30 % (3578195)------------------------------
% 32.83/5.30 % (3578195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.83/5.30 % (3578195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.83/5.30 % (3578195)CaDiCaL version: 2.1.3
% 32.83/5.30 % (3578195)Termination reason: Instruction limit
% 32.83/5.30 % (3578195)Termination phase: Saturation
% 32.83/5.30 % (3578195)Time elapsed: 0.147 s
% 32.83/5.30 % (3578195)Peak memory usage: 12 MB
% 32.83/5.30 % (3578195)Instructions burned: 441 (million)
% 32.83/5.30 % (3578205)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=612640274:i=965:bd=all:ins=4:rtra=on_2955 on theBenchmark for (2955ds/965Mi)
% 32.83/5.30 % (3578206)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1533467896:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/5013Mi)
% 32.83/5.30 % (3578206)Refutation not found, incomplete strategy
% 32.83/5.30 % (3578206)------------------------------
% 32.83/5.30 % (3578206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.83/5.30 % (3578206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.83/5.30 % (3578206)CaDiCaL version: 2.1.3
% 32.83/5.30 % (3578206)Termination reason: Refutation not found, incomplete strategy
% 32.83/5.30 % (3578206)Time elapsed: 0.001 s
% 32.83/5.30 % (3578206)Peak memory usage: 11 MB
% 32.83/5.30 % (3578206)Instructions burned: 1 (million)
% 32.83/5.30 % (3578206)------------------------------
% 32.83/5.30 % (3578206)------------------------------
% 32.83/5.30 % (3578209)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2664278415:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2955 on theBenchmark for (2955ds/1583Mi)
% 32.83/5.30 % (3578203)Instruction limit reached!
% 32.83/5.30 % (3578203)------------------------------
% 32.83/5.30 % (3578203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.04/5.58 % (3578203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/5.58 % (3578203)CaDiCaL version: 2.1.3
% 34.04/5.58 % (3578203)Termination reason: Instruction limit
% 34.04/5.58 % (3578203)Termination phase: Saturation
% 34.04/5.58 % (3578203)Time elapsed: 0.193 s
% 34.04/5.58 % (3578203)Peak memory usage: 14 MB
% 34.04/5.58 % (3578203)Instructions burned: 376 (million)
% 34.04/5.58 % (3578211)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 34.04/5.58 % (3578211)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 34.04/5.58 % (3578211)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
% 34.04/5.58 % (3578211)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 34.04/5.58 % (3578211)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=3415162376: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_2954 on theBenchmark for (2954ds/1774Mi)
% 34.04/5.58 % (3578211)Refutation not found, incomplete strategy
% 34.04/5.58 % (3578211)------------------------------
% 34.04/5.58 % (3578211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.04/5.58 % (3578211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/5.58 % (3578211)CaDiCaL version: 2.1.3
% 34.04/5.58 % (3578211)Termination reason: Refutation not found, incomplete strategy
% 34.04/5.58 % (3578211)Time elapsed: 0.001 s
% 34.04/5.58 % (3578211)Peak memory usage: 11 MB
% 34.04/5.58 % (3578211)------------------------------
% 34.04/5.58 % (3578211)------------------------------
% 34.04/5.58 % (3578213)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3474592437:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/515Mi)
% 34.04/5.58 % (3578213)Refutation not found, incomplete strategy
% 34.04/5.58 % (3578213)------------------------------
% 34.04/5.58 % (3578213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.04/5.58 % (3578213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/5.58 % (3578213)CaDiCaL version: 2.1.3
% 34.04/5.58 % (3578213)Termination reason: Refutation not found, incomplete strategy
% 34.04/5.58 % (3578213)Time elapsed: 0.001 s
% 34.04/5.58 % (3578213)Peak memory usage: 12 MB
% 34.04/5.58 % (3578213)Instructions burned: 1 (million)
% 34.04/5.58 % (3578213)------------------------------
% 34.04/5.58 % (3578213)------------------------------
% 34.04/5.58 % (3578215)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
% 34.04/5.58 % (3578215)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=983765253:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2954 on theBenchmark for (2954ds/1297Mi)
% 34.04/5.58 % (3578178)Instruction limit reached!
% 34.04/5.58 % (3578178)------------------------------
% 34.04/5.58 % (3578178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.04/5.58 % (3578178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/5.58 % (3578178)CaDiCaL version: 2.1.3
% 34.04/5.58 % (3578178)Termination reason: Instruction limit
% 34.04/5.58 % (3578178)Termination phase: Saturation
% 34.04/5.58 % (3578178)Time elapsed: 0.486 s
% 34.04/5.58 % (3578178)Peak memory usage: 14 MB
% 34.04/5.58 % (3578178)Instructions burned: 999 (million)
% 34.04/5.58 % (3578217)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=2791132861:s2a=on:i=611:rtra=on:gsp=on_2953 on theBenchmark for (2953ds/611Mi)
% 34.04/5.58 % (3578217)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.04/5.58 % (3578205)Instruction limit reached!
% 34.04/5.58 % (3578205)------------------------------
% 34.04/5.58 % (3578205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.04/5.58 % (3578205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.75 % (3578205)CaDiCaL version: 2.1.3
% 35.31/5.75 % (3578205)Termination reason: Instruction limit
% 35.31/5.75 % (3578205)Termination phase: Saturation
% 35.31/5.75 % (3578205)Time elapsed: 0.396 s
% 35.31/5.75 % (3578205)Peak memory usage: 15 MB
% 35.31/5.75 % (3578205)Instructions burned: 967 (million)
% 35.31/5.75 % (3578220)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 35.31/5.75 % (3578220)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1884969625:i=72:bd=all:rtra=on_2951 on theBenchmark for (2951ds/72Mi)
% 35.31/5.75 % (3578220)Refutation not found, incomplete strategy
% 35.31/5.75 % (3578220)------------------------------
% 35.31/5.75 % (3578220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.75 % (3578220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.75 % (3578220)CaDiCaL version: 2.1.3
% 35.31/5.75 % (3578220)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.75 % (3578220)Time elapsed: 0.002 s
% 35.31/5.75 % (3578220)Peak memory usage: 12 MB
% 35.31/5.75 % (3578220)Instructions burned: 2 (million)
% 35.31/5.75 % (3578220)------------------------------
% 35.31/5.75 % (3578220)------------------------------
% 35.31/5.75 % (3578222)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=1021899223:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2951 on theBenchmark for (2951ds/6580Mi)
% 35.31/5.75 % (3578194)Instruction limit reached!
% 35.31/5.75 % (3578194)------------------------------
% 35.31/5.75 % (3578194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.75 % (3578194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.75 % (3578194)CaDiCaL version: 2.1.3
% 35.31/5.75 % (3578194)Termination reason: Instruction limit
% 35.31/5.75 % (3578194)Termination phase: Saturation
% 35.31/5.75 % (3578194)Time elapsed: 0.665 s
% 35.31/5.75 % (3578194)Peak memory usage: 13 MB
% 35.31/5.75 % (3578194)Instructions burned: 1725 (million)
% 35.31/5.75 % (3578224)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2634691600:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2950 on theBenchmark for (2950ds/6209Mi)
% 35.31/5.75 % (3578224)Refutation not found, incomplete strategy
% 35.31/5.75 % (3578224)------------------------------
% 35.31/5.75 % (3578224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.75 % (3578224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.75 % (3578224)CaDiCaL version: 2.1.3
% 35.31/5.75 % (3578224)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.75 % (3578224)Time elapsed: 0.004 s
% 35.31/5.75 % (3578224)Peak memory usage: 11 MB
% 35.31/5.75 % (3578224)Instructions burned: 1 (million)
% 35.31/5.75 % (3578224)------------------------------
% 35.31/5.75 % (3578224)------------------------------
% 35.31/5.75 % (3578217)Instruction limit reached!
% 35.31/5.75 % (3578217)------------------------------
% 35.31/5.75 % (3578217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.75 % (3578217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.75 % (3578217)CaDiCaL version: 2.1.3
% 35.31/5.75 % (3578217)Termination reason: Instruction limit
% 35.31/5.75 % (3578217)Termination phase: Saturation
% 35.31/5.75 % (3578217)Time elapsed: 0.323 s
% 35.31/5.75 % (3578217)Peak memory usage: 13 MB
% 35.31/5.75 % (3578217)Instructions burned: 611 (million)
% 35.31/5.75 % (3578227)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 35.31/5.75 % (3578227)ott+1002_16_sil=128000:si=on:random_seed=477611890:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2950 on theBenchmark for (2950ds/409Mi)
% 35.31/5.75 % (3578226)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1408940775:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2950 on theBenchmark for (2950ds/1003Mi)
% 35.31/5.75 % (3578129)Instruction limit reached!
% 35.31/5.75 % (3578129)------------------------------
% 35.31/5.75 % (3578129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.75 % (3578129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.75 % (3578129)CaDiCaL version: 2.1.3
% 35.31/5.75 % (3578129)Termination reason: Instruction limit
% 38.58/6.04 % (3578129)Termination phase: Saturation
% 38.58/6.04 % (3578129)Time elapsed: 1.998 s
% 38.58/6.04 % (3578129)Peak memory usage: 16 MB
% 38.58/6.04 % (3578129)Instructions burned: 4387 (million)
% 38.58/6.04 % (3578230)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=2637336146:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2949 on theBenchmark for (2949ds/403Mi)
% 38.58/6.04 % (3578230)Refutation not found, incomplete strategy
% 38.58/6.04 % (3578230)------------------------------
% 38.58/6.04 % (3578230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.58/6.04 % (3578230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.58/6.04 % (3578230)CaDiCaL version: 2.1.3
% 38.58/6.04 % (3578230)Termination reason: Refutation not found, incomplete strategy
% 38.58/6.04 % (3578230)Time elapsed: 0.001 s
% 38.58/6.04 % (3578230)Peak memory usage: 11 MB
% 38.58/6.04 % (3578230)Instructions burned: 1 (million)
% 38.58/6.04 % (3578230)------------------------------
% 38.58/6.04 % (3578230)------------------------------
% 38.58/6.04 % (3578232)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3598828633:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2949 on theBenchmark for (2949ds/6843Mi)
% 38.58/6.04 % (3578232)Refutation not found, incomplete strategy
% 38.58/6.04 % (3578232)------------------------------
% 38.58/6.04 % (3578232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.58/6.04 % (3578232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.58/6.04 % (3578232)CaDiCaL version: 2.1.3
% 38.58/6.04 % (3578232)Termination reason: Refutation not found, incomplete strategy
% 38.58/6.04 % (3578232)Time elapsed: 0.001 s
% 38.58/6.04 % (3578232)Peak memory usage: 11 MB
% 38.58/6.04 % (3578232)Instructions burned: 1 (million)
% 38.58/6.04 % (3578232)------------------------------
% 38.58/6.04 % (3578232)------------------------------
% 38.58/6.04 % (3578234)lrs+10_2:1_si=on:random_seed=3764554341:s2a=on:i=506:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/506Mi)
% 38.58/6.04 % (3578209)Instruction limit reached!
% 38.58/6.04 % (3578209)------------------------------
% 38.58/6.04 % (3578209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.58/6.04 % (3578209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.58/6.04 % (3578209)CaDiCaL version: 2.1.3
% 38.58/6.04 % (3578209)Termination reason: Instruction limit
% 38.58/6.04 % (3578209)Termination phase: Saturation
% 38.58/6.04 % (3578209)Time elapsed: 0.672 s
% 38.58/6.04 % (3578209)Peak memory usage: 13 MB
% 38.58/6.04 % (3578209)Instructions burned: 1585 (million)
% 38.58/6.04 % (3578236)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=254199489:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2948 on theBenchmark for (2948ds/888Mi)
% 38.58/6.04 % (3578227)Instruction limit reached!
% 38.58/6.04 % (3578227)------------------------------
% 38.58/6.04 % (3578227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.58/6.04 % (3578227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.58/6.04 % (3578227)CaDiCaL version: 2.1.3
% 38.58/6.04 % (3578227)Termination reason: Instruction limit
% 38.58/6.04 % (3578227)Termination phase: Saturation
% 38.58/6.04 % (3578227)Time elapsed: 0.162 s
% 38.58/6.04 % (3578227)Peak memory usage: 13 MB
% 38.58/6.04 % (3578227)Instructions burned: 411 (million)
% 38.58/6.04 % (3578238)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 38.58/6.04 % (3578238)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=2343193824:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2948 on theBenchmark for (2948ds/416Mi)
% 38.58/6.04 % (3578234)Instruction limit reached!
% 38.58/6.04 % (3578234)------------------------------
% 38.58/6.04 % (3578234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.58/6.04 % (3578234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.58/6.04 % (3578234)CaDiCaL version: 2.1.3
% 38.58/6.04 % (3578234)Termination reason: Instruction limit
% 38.58/6.04 % (3578234)Termination phase: Saturation
% 38.58/6.04 % (3578234)Time elapsed: 0.225 s
% 39.59/6.26 % (3578234)Peak memory usage: 13 MB
% 39.59/6.26 % (3578234)Instructions burned: 508 (million)
% 39.59/6.26 % (3578240)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=1479370335: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_2946 on theBenchmark for (2946ds/13534Mi)
% 39.59/6.26 % (3578240)Refutation not found, incomplete strategy
% 39.59/6.26 % (3578240)------------------------------
% 39.59/6.26 % (3578240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.59/6.26 % (3578240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/6.26 % (3578240)CaDiCaL version: 2.1.3
% 39.59/6.26 % (3578240)Termination reason: Refutation not found, incomplete strategy
% 39.59/6.26 % (3578240)Time elapsed: 0.001 s
% 39.59/6.26 % (3578240)Peak memory usage: 11 MB
% 39.59/6.26 % (3578240)Instructions burned: 1 (million)
% 39.59/6.26 % (3578240)------------------------------
% 39.59/6.26 % (3578240)------------------------------
% 39.59/6.26 % (3578242)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 39.59/6.26 % (3578242)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2564358040:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2946 on theBenchmark for (2946ds/206Mi)
% 39.59/6.26 % (3578226)Instruction limit reached!
% 39.59/6.26 % (3578226)------------------------------
% 39.59/6.26 % (3578226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.59/6.26 % (3578226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/6.26 % (3578226)CaDiCaL version: 2.1.3
% 39.59/6.26 % (3578226)Termination reason: Instruction limit
% 39.59/6.26 % (3578226)Termination phase: Saturation
% 39.59/6.26 % (3578226)Time elapsed: 0.372 s
% 39.59/6.26 % (3578226)Peak memory usage: 13 MB
% 39.59/6.26 % (3578226)Instructions burned: 1006 (million)
% 39.59/6.26 % (3578215)Instruction limit reached!
% 39.59/6.26 % (3578215)------------------------------
% 39.59/6.26 % (3578215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.59/6.26 % (3578215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/6.26 % (3578215)CaDiCaL version: 2.1.3
% 39.59/6.26 % (3578215)Termination reason: Instruction limit
% 39.59/6.26 % (3578215)Termination phase: Saturation
% 39.59/6.26 % (3578215)Time elapsed: 0.771 s
% 39.59/6.26 % (3578215)Peak memory usage: 13 MB
% 39.59/6.26 % (3578215)Instructions burned: 1298 (million)
% 39.59/6.26 % (3578244)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=4023779739:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2946 on theBenchmark for (2946ds/2295Mi)
% 39.59/6.26 % (3578245)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=2042179806:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2946 on theBenchmark for (2946ds/637Mi)
% 39.59/6.26 % (3578238)Instruction limit reached!
% 39.59/6.26 % (3578238)------------------------------
% 39.59/6.26 % (3578238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.59/6.26 % (3578238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/6.26 % (3578238)CaDiCaL version: 2.1.3
% 39.59/6.26 % (3578238)Termination reason: Instruction limit
% 39.59/6.26 % (3578238)Termination phase: Saturation
% 39.59/6.26 % (3578238)Time elapsed: 0.231 s
% 39.59/6.26 % (3578238)Peak memory usage: 14 MB
% 39.59/6.26 % (3578238)Instructions burned: 418 (million)
% 39.59/6.26 % (3578248)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=353400545:hsq=on:i=667:rtra=on:ixr=off_2946 on theBenchmark for (2946ds/667Mi)
% 39.59/6.26 % (3578242)Instruction limit reached!
% 39.59/6.26 % (3578242)------------------------------
% 39.59/6.26 % (3578242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.59/6.26 % (3578242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/6.26 % (3578242)CaDiCaL version: 2.1.3
% 39.59/6.26 % (3578242)Termination reason: Instruction limit
% 39.59/6.26 % (3578242)Termination phase: Saturation
% 39.59/6.26 % (3578242)Time elapsed: 0.087 s
% 39.59/6.26 % (3578242)Peak memory usage: 12 MB
% 39.59/6.26 % (3578242)Instructions burned: 208 (million)
% 39.59/6.26 % (3578250)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3212244687:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2945 on theBenchmark for (2945ds/1801Mi)
% 42.18/6.81 % (3578236)Instruction limit reached!
% 42.18/6.81 % (3578236)------------------------------
% 42.18/6.81 % (3578236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578236)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578236)Termination reason: Instruction limit
% 42.18/6.81 % (3578236)Termination phase: Saturation
% 42.18/6.81 % (3578236)Time elapsed: 0.359 s
% 42.18/6.81 % (3578236)Peak memory usage: 13 MB
% 42.18/6.81 % (3578236)Instructions burned: 889 (million)
% 42.18/6.81 % (3578252)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3954220027:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2944 on theBenchmark for (2944ds/555Mi)
% 42.18/6.81 % (3578248)Instruction limit reached!
% 42.18/6.81 % (3578248)------------------------------
% 42.18/6.81 % (3578248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578248)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578248)Termination reason: Instruction limit
% 42.18/6.81 % (3578248)Termination phase: Saturation
% 42.18/6.81 % (3578248)Time elapsed: 0.238 s
% 42.18/6.81 % (3578248)Peak memory usage: 12 MB
% 42.18/6.81 % (3578248)Instructions burned: 669 (million)
% 42.18/6.81 % (3578254)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=3800625891:i=88:s2at=3:nm=2:rtra=on:rawr=on_2943 on theBenchmark for (2943ds/88Mi)
% 42.18/6.81 % (3578245)Instruction limit reached!
% 42.18/6.81 % (3578245)------------------------------
% 42.18/6.81 % (3578245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578245)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578245)Termination reason: Instruction limit
% 42.18/6.81 % (3578245)Termination phase: Saturation
% 42.18/6.81 % (3578245)Time elapsed: 0.300 s
% 42.18/6.81 % (3578245)Peak memory usage: 13 MB
% 42.18/6.81 % (3578245)Instructions burned: 639 (million)
% 42.18/6.81 % (3578256)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3361379320:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2943 on theBenchmark for (2943ds/280Mi)
% 42.18/6.81 % (3578254)Instruction limit reached!
% 42.18/6.81 % (3578254)------------------------------
% 42.18/6.81 % (3578254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578254)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578254)Termination reason: Instruction limit
% 42.18/6.81 % (3578254)Termination phase: Saturation
% 42.18/6.81 % (3578254)Time elapsed: 0.040 s
% 42.18/6.81 % (3578254)Peak memory usage: 12 MB
% 42.18/6.81 % (3578254)Instructions burned: 90 (million)
% 42.18/6.81 % (3578252)Instruction limit reached!
% 42.18/6.81 % (3578252)------------------------------
% 42.18/6.81 % (3578252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578252)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578252)Termination reason: Instruction limit
% 42.18/6.81 % (3578252)Termination phase: Saturation
% 42.18/6.81 % (3578252)Time elapsed: 0.216 s
% 42.18/6.81 % (3578252)Peak memory usage: 11 MB
% 42.18/6.81 % (3578252)Instructions burned: 560 (million)
% 42.18/6.81 % (3578258)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=771953123:s2a=on:i=3166:bd=preordered:rtra=on_2942 on theBenchmark for (2942ds/3166Mi)
% 42.18/6.81 % (3578259)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 42.18/6.81 % (3578259)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=3832155018:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2942 on theBenchmark for (2942ds/4201Mi)
% 42.18/6.81 % (3578259)Refutation not found, incomplete strategy
% 42.18/6.81 % (3578259)------------------------------
% 42.18/6.81 % (3578259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578259)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578259)Termination reason: Refutation not found, incomplete strategy
% 42.18/6.81 % (3578259)Time elapsed: 0.002 s
% 42.18/6.81 % (3578259)Peak memory usage: 12 MB
% 42.18/6.81 % (3578259)Instructions burned: 3 (million)
% 42.18/6.81 % (3578259)------------------------------
% 42.18/6.81 % (3578259)------------------------------
% 42.18/6.81 % (3578262)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1823128549:i=2352:rtra=on:ixr=off_2942 on theBenchmark for (2942ds/2352Mi)
% 42.18/6.81 % (3578256)Instruction limit reached!
% 42.18/6.81 % (3578256)------------------------------
% 42.18/6.81 % (3578256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578256)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578256)Termination reason: Instruction limit
% 42.18/6.81 % (3578256)Termination phase: Saturation
% 42.18/6.81 % (3578256)Time elapsed: 0.135 s
% 42.18/6.81 % (3578256)Peak memory usage: 13 MB
% 42.18/6.81 % (3578256)Instructions burned: 281 (million)
% 42.18/6.81 % (3578264)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 42.18/6.81 % (3578264)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=1258008485:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2941 on theBenchmark for (2941ds/452Mi)
% 42.18/6.81 % (3578264)Refutation not found, incomplete strategy
% 42.18/6.81 % (3578264)------------------------------
% 42.18/6.81 % (3578264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578264)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578264)Termination reason: Refutation not found, incomplete strategy
% 42.18/6.81 % (3578264)Time elapsed: 0.001 s
% 42.18/6.81 % (3578264)Peak memory usage: 11 MB
% 42.18/6.81 % (3578264)Instructions burned: 1 (million)
% 42.18/6.81 % (3578264)------------------------------
% 42.18/6.81 % (3578264)------------------------------
% 42.18/6.81 % (3578266)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 42.18/6.81 % (3578266)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 42.18/6.81 % (3578266)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=3400254504:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2941 on theBenchmark for (2941ds/483Mi)
% 42.18/6.81 % (3578266)Refutation not found, incomplete strategy
% 42.18/6.81 % (3578266)------------------------------
% 42.18/6.81 % (3578266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578266)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578266)Termination reason: Refutation not found, incomplete strategy
% 42.18/6.81 % (3578266)Time elapsed: 0.001 s
% 42.18/6.81 % (3578266)Peak memory usage: 12 MB
% 42.18/6.81 % (3578266)Instructions burned: 1 (million)
% 42.18/6.81 % (3578266)------------------------------
% 42.18/6.81 % (3578266)------------------------------
% 42.18/6.81 % (3578268)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=104225085:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2941 on theBenchmark for (2941ds/168Mi)
% 42.18/6.81 % (3578250)Instruction limit reached!
% 42.18/6.81 % (3578250)------------------------------
% 42.18/6.81 % (3578250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578250)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578250)Termination reason: Instruction limit
% 42.18/6.81 % (3578250)Termination phase: Saturation
% 42.18/6.81 % (3578250)Time elapsed: 0.496 s
% 42.18/6.81 % (3578250)Peak memory usage: 15 MB
% 42.18/6.81 % (3578250)Instructions burned: 1801 (million)
% 42.18/6.81 % (3578270)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=3313597033: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_2940 on theBenchmark for (2940ds/17240Mi)
% 42.18/6.81 % (3578268)Instruction limit reached!
% 42.18/6.81 % (3578268)------------------------------
% 42.18/6.81 % (3578268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.81 % (3578268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.81 % (3578268)CaDiCaL version: 2.1.3
% 42.18/6.81 % (3578268)Termination reason: Instruction limit
% 42.18/6.81 % (3578268)Termination phase: Saturation
% 42.18/6.81 % (3578268)Time elapsed: 0.080 s
% 42.18/6.81 % (3578268)Peak memory usage: 12 MB
% 42.18/6.81 % (3578268)Instructions burned: 170 (million)
% 42.18/6.81 % (3578272)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=3079719533:i=2022:fsr=off:rtra=on:ixr=off_2940 on theBenchmark for (2940ds/2022Mi)
% 42.18/6.81 % (3578094) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3577770-3578094"...
% 42.18/6.81 % (3578094)...printing done.
% 42.18/6.81 % (3578094)Refutation found. Thanks to Tanya!
% 42.18/6.81 % SZS status Unsatisfiable for theBenchmark
% 42.18/6.81 % SZS output start Proof for theBenchmark
% See solution above
% 42.18/6.89 % (3578094)------------------------------
% 42.18/6.89 % (3578094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.18/6.89 % (3578094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.18/6.89 % (3578094)CaDiCaL version: 2.1.3
% 42.18/6.89 % (3578094)Termination reason: Refutation
% 42.18/6.89 % (3578094)Time elapsed: 4.069 s
% 42.18/6.89 % (3578094)Peak memory usage: 22 MB
% 42.18/6.89 % (3578094)Instructions burned: 5499 (million)
% 42.18/6.89 % (3577770)Success in time 6.601 s
% 42.18/6.89 % Vampire exiting
%------------------------------------------------------------------------------