%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA091^1 : 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 : n009.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 07:51:41 AM UTC 2026
% Result : Unsatisfiable 24.85s 4.05s
% Output : Refutation 26.96s
% 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,
( surj
= ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X2: $i,X0: $i,X1: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X3 ) ),
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,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ 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 > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X1 @ X0 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X0 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f11]) ).
thf(f18,plain,
! [X3: $i,X2: $i,X1: $i,X0: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f19,plain,
! [X0: $i,X1: $i,X3: $i,X2: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f21,plain,
( ( ( surj @ sK0 )
!= $true )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f23,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f24,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
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,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f32,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f27,f25]) ).
thf(f33,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f26,f24]) ).
thf(f34,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f35,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f34]) ).
thf(f36,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2 = X1 ) )
| ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f43,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f42]) ).
thf(f44,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f28,f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f28,f47]) ).
thf(f50,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f41]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f23,f28]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f58,definition,
( spl2_1
<=> ! [X2: $i] :
( ( r @ sK1 @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f59,plain,
( ! [X2: $i] :
( ( r @ sK1 @ X2 )
!= $true )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f61,definition,
( spl2_2
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f62,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f64,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f62,f28]) ).
thf(f66,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f70,definition,
( spl2_3
<=> ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f71,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f76,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f23,f49]) ).
thf(f77,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f82,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f50,f41]) ).
thf(f84,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f50,f47]) ).
thf(f85,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f50,f47]) ).
thf(f87,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f62,f50]) ).
thf(f91,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f92,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f84]) ).
thf(f93,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f94,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f93,f84]) ).
thf(f95,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f94]) ).
thf(f96,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f95]) ).
thf(f98,definition,
( spl2_5
<=> ! [X1: $i] :
( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f99,plain,
( ! [X1: $i] :
( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f101,definition,
( spl2_6
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f102,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_6 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f104,definition,
( spl2_7
<=> ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f105,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f106,plain,
( spl2_5
| ~ spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f96,f104,f101,f98]) ).
thf(f107,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f77,f85]) ).
thf(f109,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(constrained_superposition,[],[f23,f85]) ).
thf(f111,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f112,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f114,definition,
( spl2_8
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f115,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f117,definition,
( spl2_9
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f118,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f121,definition,
( spl2_10
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f122,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f124,definition,
( spl2_11
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f125,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f126,plain,
( spl2_8
| spl2_10
| spl2_11 ),
inference(avatar_split_clause,[],[f112,f124,f121,f114]) ).
thf(f127,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f115,f49]) ).
thf(f129,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f142,definition,
( spl2_13
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f143,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f145,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f143,f48]) ).
thf(f147,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f145]) ).
thf(f149,plain,
( spl2_9
| spl2_13 ),
inference(avatar_split_clause,[],[f147,f142,f117]) ).
thf(f151,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f29,f118]) ).
thf(f152,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f151]) ).
thf(f163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_8
| ~ spl2_9 ),
inference(constrained_superposition,[],[f152,f129]) ).
thf(f164,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true != $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f29,f129]) ).
thf(f165,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f170,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f66,f28]) ).
thf(f172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f174,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f54,f47]) ).
thf(f178,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
= ( b @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ X3 ) ) ),
inference(constrained_superposition,[],[f54,f28]) ).
thf(f180,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f54,f49]) ).
thf(f185,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( X1 = X2 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f186,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f180]) ).
thf(f201,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_11 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f203,definition,
( spl2_17
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f204,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f203]) ).
thf(f206,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X3 @ X2 ) )
| ( ( b @ X0 @ X2 )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( X0 = X2 )
| ( X2 = X3 ) ),
inference(constrained_superposition,[],[f185,f28]) ).
thf(f207,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( X1 = X2 )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f185,f48]) ).
thf(f212,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f214,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X3 @ X2 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( b @ X0 @ X2 )
= $true )
| ( X2 = X3 ) ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f217,definition,
( spl2_18
<=> ! [X2: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( X1 = X2 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( $true
!= ( r @ X2 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f218,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( sK1 = X1 )
| ( X1 = X2 ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f217]) ).
thf(f219,plain,
( spl2_18
| spl2_3 ),
inference(avatar_split_clause,[],[f212,f70,f217]) ).
thf(f223,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f29,f71]) ).
thf(f226,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f223]) ).
thf(f235,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f226,f84]) ).
thf(f246,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f235]) ).
thf(f248,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f246,f71]) ).
thf(f249,plain,
( spl2_7
| spl2_17
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f248,f70,f203,f104]) ).
thf(f267,definition,
( spl2_20
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f268,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_20 ),
inference(avatar_component_clause,[],[f267]) ).
thf(f277,definition,
( spl2_23
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f278,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_23 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f281,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f122,f49]) ).
thf(f286,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f281]) ).
thf(f289,plain,
( $false
| ~ spl2_10
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f286,f201]) ).
thf(f290,plain,
( ~ spl2_10
| spl2_11 ),
inference(avatar_contradiction_clause,[],[f289]) ).
thf(f291,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| spl2_23 ),
inference(constrained_superposition,[],[f278,f49]) ).
thf(f294,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_23 ),
inference(trivial_inequality_removal,[],[f291]) ).
thf(f301,plain,
( spl2_11
| spl2_23 ),
inference(avatar_split_clause,[],[f294,f277,f124]) ).
thf(f349,definition,
( spl2_25
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( X1 = X2 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f350,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X2 @ X1 ) )
| ( X1 = X2 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f352,definition,
( spl2_26
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f353,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f352]) ).
thf(f411,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f350,f48]) ).
thf(f414,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f411]) ).
thf(f422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f91,f49]) ).
thf(f424,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f422]) ).
thf(f450,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f82,f47]) ).
thf(f451,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f82,f47]) ).
thf(f466,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( X1 = X2 )
| ( X0 = X3 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( ( b @ X1 @ X3 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f214,f28]) ).
thf(f468,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X2 )
| ( ( sK0 @ X0 )
= X2 )
| ( $true
= ( b @ sK1 @ X2 ) )
| ( ( b @ sK1 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f214,f49]) ).
thf(f475,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X2 )
| ( $true
= ( b @ sK1 @ X2 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X2 )
| ( sK1 = X1 ) ),
inference(trivial_inequality_removal,[],[f468]) ).
thf(f479,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( X1 = X3 )
| ( X0 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ X0 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f466]) ).
thf(f484,definition,
( spl2_29
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f485,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f488,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f29,f485]) ).
thf(f492,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f488]) ).
thf(f513,definition,
( spl2_31
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f514,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f513]) ).
thf(f525,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X2 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1 = X2 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_29 ),
inference(constrained_superposition,[],[f492,f172]) ).
thf(f532,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X2 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1 = X2 ) )
| ~ spl2_2
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f536,definition,
( spl2_32
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f536]) ).
thf(f538,plain,
( spl2_32
| spl2_31
| ~ spl2_2
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f532,f484,f61,f513,f536]) ).
thf(f601,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X1 ) ),
inference(equality_factoring,[],[f479]) ).
thf(f613,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X0 = X2 ) ),
inference(duplicate_literal_removal,[],[f601]) ).
thf(f614,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 ) ),
inference(trivial_inequality_removal,[],[f613]) ).
thf(f631,definition,
( spl2_33
<=> ! [X2: $i] :
( ( sK1 = X2 )
| ( $true
= ( b @ sK1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f632,plain,
( ! [X2: $i] :
( ( $true
= ( b @ sK1 @ X2 ) )
| ( sK1 = X2 ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f631]) ).
thf(f650,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f204,f614]) ).
thf(f662,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f650]) ).
thf(f712,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f23,f450]) ).
thf(f713,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f712]) ).
thf(f723,definition,
( spl2_35
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f724,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f723]) ).
thf(f726,definition,
( spl2_36
<=> ! [X2: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f727,plain,
( ! [X2: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f726]) ).
thf(f728,plain,
( spl2_35
| spl2_36 ),
inference(avatar_split_clause,[],[f713,f726,f723]) ).
thf(f734,definition,
( spl2_38
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f735,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_38 ),
inference(avatar_component_clause,[],[f734]) ).
thf(f738,definition,
( spl2_39
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f739,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f738]) ).
thf(f745,definition,
( spl2_41
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f746,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f745]) ).
thf(f748,definition,
( spl2_42
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f749,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_42 ),
inference(avatar_component_clause,[],[f748]) ).
thf(f760,definition,
( spl2_45
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f761,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f760]) ).
thf(f763,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_42 ),
inference(constrained_superposition,[],[f749,f49]) ).
thf(f766,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_42 ),
inference(trivial_inequality_removal,[],[f763]) ).
thf(f768,plain,
( spl2_45
| spl2_42 ),
inference(avatar_split_clause,[],[f766,f748,f760]) ).
thf(f770,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_45 ),
inference(constrained_superposition,[],[f662,f761]) ).
thf(f778,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f770]) ).
thf(f786,definition,
( spl2_46
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f787,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f786]) ).
thf(f789,definition,
( spl2_47
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f790,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f789]) ).
thf(f791,plain,
( spl2_46
| spl2_47
| ~ spl2_17
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f778,f760,f203,f789,f786]) ).
thf(f795,definition,
( spl2_48
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f796,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f795]) ).
thf(f803,definition,
( spl2_49
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f804,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f803]) ).
thf(f807,definition,
( spl2_50
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f808,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f807]) ).
thf(f811,definition,
( spl2_51
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f812,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f811]) ).
thf(f826,definition,
( spl2_52
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).
thf(f827,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f826]) ).
thf(f832,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_52 ),
inference(constrained_superposition,[],[f204,f827]) ).
thf(f833,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_52 ),
inference(constrained_superposition,[],[f152,f827]) ).
thf(f835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f29,f827]) ).
thf(f836,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f835]) ).
thf(f837,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f833]) ).
thf(f838,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f832]) ).
thf(f843,definition,
( spl2_53
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f844,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f843]) ).
thf(f846,definition,
( spl2_54
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f847,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_54 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f848,plain,
( spl2_53
| ~ spl2_54
| ~ spl2_9
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f837,f826,f117,f846,f843]) ).
thf(f850,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_17
| ~ spl2_52 ),
inference(constrained_superposition,[],[f838,f479]) ).
thf(f852,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f850]) ).
thf(f854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_17
| ~ spl2_52 ),
inference(forward_subsumption_resolution,[],[f852,f47]) ).
thf(f856,definition,
( spl2_55
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f857,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f856]) ).
thf(f858,plain,
( spl2_51
| spl2_55
| ~ spl2_17
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f854,f826,f203,f856,f811]) ).
thf(f865,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| spl2_54 ),
inference(constrained_superposition,[],[f847,f614]) ).
thf(f870,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_54 ),
inference(trivial_inequality_removal,[],[f865]) ).
thf(f874,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f870,f47]) ).
thf(f877,plain,
( spl2_50
| spl2_54 ),
inference(avatar_split_clause,[],[f874,f846,f807]) ).
thf(f893,definition,
( spl2_56
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f894,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_56 ),
inference(avatar_component_clause,[],[f893]) ).
thf(f899,definition,
( spl2_58
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f900,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f899]) ).
thf(f910,definition,
( spl2_60
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f911,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f910]) ).
thf(f1018,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_52 ),
inference(constrained_superposition,[],[f836,f739]) ).
thf(f1023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f1018]) ).
thf(f1029,plain,
( spl2_60
| ~ spl2_39
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f1023,f826,f738,f910]) ).
thf(f1044,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_52 ),
inference(constrained_superposition,[],[f836,f761]) ).
thf(f1048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f1044]) ).
thf(f1051,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_45
| ~ spl2_52 ),
inference(forward_subsumption_resolution,[],[f1048,f118]) ).
thf(f1054,plain,
( spl2_53
| ~ spl2_9
| ~ spl2_45
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f1051,f826,f760,f117,f843]) ).
thf(f1083,definition,
( spl2_72
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).
thf(f1084,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_72 ),
inference(avatar_component_clause,[],[f1083]) ).
thf(f1112,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45 ),
inference(avatar_component_clause,[],[f760]) ).
thf(f1116,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_45 ),
inference(constrained_superposition,[],[f1112,f479]) ).
thf(f1117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_45 ),
inference(trivial_inequality_removal,[],[f1116]) ).
thf(f1119,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f1117,f47]) ).
thf(f1121,plain,
( spl2_51
| spl2_55
| spl2_45 ),
inference(avatar_split_clause,[],[f1119,f760,f856,f811]) ).
thf(f1130,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_45
| ~ spl2_55 ),
inference(constrained_superposition,[],[f1112,f857]) ).
thf(f1146,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_45
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f1130]) ).
thf(f1150,definition,
( spl2_75
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f1151,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f1150]) ).
thf(f1155,plain,
( $false
| spl2_45
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f1146,f47]) ).
thf(f1156,plain,
( spl2_45
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
thf(f1192,definition,
( spl2_76
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f1193,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f1192]) ).
thf(f1199,definition,
( spl2_78
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f1200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f1199]) ).
thf(f1205,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_52 ),
inference(avatar_component_clause,[],[f826]) ).
thf(f1226,definition,
( spl2_80
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).
thf(f1227,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f1226]) ).
thf(f1230,definition,
( spl2_81
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f1231,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f1230]) ).
thf(f1233,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_8
| spl2_52 ),
inference(constrained_superposition,[],[f1205,f129]) ).
thf(f1241,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_8
| spl2_52 ),
inference(trivial_inequality_removal,[],[f1233]) ).
thf(f1246,definition,
( spl2_82
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f1247,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f1246]) ).
thf(f1250,plain,
( $false
| ~ spl2_8
| spl2_45
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f1241,f1112]) ).
thf(f1251,plain,
( ~ spl2_8
| spl2_45
| spl2_52 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
thf(f1254,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f29,f761]) ).
thf(f1256,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f1254]) ).
thf(f1262,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f29,f827]) ).
thf(f1265,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f1262]) ).
thf(f1266,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_53 ),
inference(constrained_superposition,[],[f844,f84]) ).
thf(f1276,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f1266]) ).
thf(f1280,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1231,f28]) ).
thf(f1291,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f1280]) ).
thf(f1296,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_45
| ~ spl2_52 ),
inference(constrained_superposition,[],[f1256,f827]) ).
thf(f1300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f1296]) ).
thf(f1316,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_2
| ~ spl2_58 ),
inference(constrained_superposition,[],[f900,f424]) ).
thf(f1318,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_50
| ~ spl2_58 ),
inference(constrained_superposition,[],[f900,f808]) ).
thf(f1323,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_50
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f1318]) ).
thf(f1330,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_2
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f1316]) ).
thf(f1331,plain,
( spl2_78
| ~ spl2_50
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f1323,f899,f807,f1199]) ).
thf(f1345,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f1347,definition,
( spl2_85
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f1348,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f1347]) ).
thf(f1349,plain,
( spl2_54
| spl2_85
| ~ spl2_2
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f1330,f899,f61,f1347,f846]) ).
thf(f1351,definition,
( spl2_86
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f1352,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f1351]) ).
thf(f1431,definition,
( spl2_87
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).
thf(f1432,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_87 ),
inference(avatar_component_clause,[],[f1431]) ).
thf(f1434,definition,
( spl2_88
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
thf(f1435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f1434]) ).
thf(f1438,definition,
( spl2_89
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).
thf(f1439,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_89 ),
inference(avatar_component_clause,[],[f1438]) ).
thf(f1452,definition,
( spl2_90
<=> ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).
thf(f1453,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_90 ),
inference(avatar_component_clause,[],[f1452]) ).
thf(f1460,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_54
| ~ spl2_58 ),
inference(constrained_superposition,[],[f900,f1345]) ).
thf(f1466,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f1460]) ).
thf(f1471,plain,
( $false
| ~ spl2_9
| ~ spl2_54
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f1466,f118]) ).
thf(f1472,plain,
( ~ spl2_9
| ~ spl2_54
| ~ spl2_58 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
thf(f1474,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f174,f61,f58]) ).
thf(f1475,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f59,f48]) ).
thf(f1476,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f59,f28]) ).
thf(f1477,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1475]) ).
thf(f1478,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1476]) ).
thf(f1479,plain,
( spl2_3
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f1477,f58,f70]) ).
thf(f1480,plain,
( spl2_33
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f1478,f58,f631]) ).
thf(f1539,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_52
| ~ spl2_55 ),
inference(constrained_superposition,[],[f1265,f857]) ).
thf(f1540,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_55 ),
inference(constrained_superposition,[],[f1256,f857]) ).
thf(f1544,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f93,f857]) ).
thf(f1549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f1544]) ).
thf(f1550,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f1539]) ).
thf(f1554,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_45
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f1540]) ).
thf(f1576,definition,
( spl2_91
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
thf(f1577,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f1576]) ).
thf(f1617,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_75 ),
inference(constrained_superposition,[],[f186,f1151]) ).
thf(f1628,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f1617]) ).
thf(f1662,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_85 ),
inference(constrained_superposition,[],[f1348,f129]) ).
thf(f1669,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_85 ),
inference(duplicate_literal_removal,[],[f1662]) ).
thf(f1670,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f1669]) ).
thf(f1672,plain,
( spl2_48
| ~ spl2_8
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f1670,f1347,f114,f795]) ).
thf(f1782,definition,
( spl2_95
<=> ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).
thf(f1783,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f1782]) ).
thf(f1793,definition,
( spl2_97
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).
thf(f1794,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f1793]) ).
thf(f1814,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_50
| ~ spl2_53 ),
inference(constrained_superposition,[],[f844,f808]) ).
thf(f1830,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_50
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f1814]) ).
thf(f1941,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_51
| ~ spl2_58 ),
inference(constrained_superposition,[],[f900,f812]) ).
thf(f1951,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_51
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f1941]) ).
thf(f2006,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_51
| ~ spl2_58 ),
inference(constrained_superposition,[],[f1951,f129]) ).
thf(f2013,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_51
| ~ spl2_58 ),
inference(duplicate_literal_removal,[],[f2006]) ).
thf(f2014,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_51
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f2013]) ).
thf(f2016,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_51
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f2014,f47]) ).
thf(f2017,plain,
( spl2_49
| ~ spl2_8
| ~ spl2_51
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f2016,f899,f811,f114,f803]) ).
thf(f2090,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1291,f28]) ).
thf(f2094,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f2090]) ).
thf(f2098,plain,
( spl2_82
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f2094,f1230,f1246]) ).
thf(f2100,definition,
( spl2_101
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).
thf(f2101,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101 ),
inference(avatar_component_clause,[],[f2100]) ).
thf(f2105,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_11
| ~ spl2_53 ),
inference(forward_subsumption_resolution,[],[f1276,f125]) ).
thf(f2114,plain,
( spl2_76
| ~ spl2_11
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f2105,f843,f124,f1192]) ).
thf(f2117,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_76 ),
inference(constrained_superposition,[],[f62,f1193]) ).
thf(f2132,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f2117]) ).
thf(f2174,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_53
| ~ spl2_82 ),
inference(constrained_superposition,[],[f844,f1247]) ).
thf(f2195,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_53
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f2174]) ).
thf(f2555,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f893]) ).
thf(f2717,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_76 ),
inference(constrained_superposition,[],[f122,f1193]) ).
thf(f2720,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f122,f28]) ).
thf(f2722,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f2720]) ).
thf(f2725,plain,
( $false
| ~ spl2_10
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f2717]) ).
thf(f2726,plain,
( ~ spl2_10
| ~ spl2_76 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
thf(f2731,plain,
( spl2_29
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f2722,f121,f484]) ).
thf(f2751,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_2
| spl2_54
| ~ spl2_76 ),
inference(forward_subsumption_resolution,[],[f2132,f847]) ).
thf(f2757,plain,
( spl2_58
| ~ spl2_11
| ~ spl2_45
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f1300,f826,f760,f124,f899]) ).
thf(f2770,plain,
( ~ spl2_23
| ~ spl2_2
| spl2_54
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f2751,f1192,f846,f61,f277]) ).
thf(f2854,definition,
( spl2_119
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f2855,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f2854]) ).
thf(f2859,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_8 ),
inference(constrained_superposition,[],[f99,f129]) ).
thf(f2860,plain,
( ( $true != $true )
| ~ spl2_5
| ~ spl2_52 ),
inference(constrained_superposition,[],[f99,f827]) ).
thf(f2861,plain,
( ( $true != $true )
| ~ spl2_5
| ~ spl2_9 ),
inference(constrained_superposition,[],[f99,f118]) ).
thf(f2862,plain,
( ( $true != $true )
| ~ spl2_3
| ~ spl2_5 ),
inference(constrained_superposition,[],[f99,f71]) ).
thf(f2864,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_55 ),
inference(constrained_superposition,[],[f99,f857]) ).
thf(f2868,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f2864]) ).
thf(f2871,plain,
( $false
| ~ spl2_5
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f2861]) ).
thf(f2872,plain,
( ~ spl2_5
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f2871]) ).
thf(f2873,plain,
( $false
| ~ spl2_3
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f2862]) ).
thf(f2874,plain,
( ~ spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f2873]) ).
thf(f2877,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_5
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f2859]) ).
thf(f2878,plain,
( $false
| ~ spl2_5
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f2860]) ).
thf(f2879,plain,
( ~ spl2_5
| ~ spl2_52 ),
inference(avatar_contradiction_clause,[],[f2878]) ).
thf(f2880,plain,
( spl2_47
| ~ spl2_5
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f2868,f856,f98,f789]) ).
thf(f2884,plain,
( spl2_26
| ~ spl2_5
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f2877,f114,f98,f352]) ).
thf(f2886,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| spl2_11 ),
inference(constrained_superposition,[],[f201,f614]) ).
thf(f2889,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f2886]) ).
thf(f2891,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f2889,f47]) ).
thf(f3020,definition,
( spl2_120
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X2 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
= ( b @ sK1 @ X2 ) )
| ( ( sK0 @ X0 )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f3021,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ X2 ) )
| ( sK1 = X2 )
| ( ( sK0 @ X0 )
= X2 ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f3020]) ).
thf(f3022,plain,
( spl2_33
| spl2_120 ),
inference(avatar_split_clause,[],[f475,f3020,f631]) ).
thf(f3036,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_119 ),
inference(constrained_superposition,[],[f2855,f761]) ).
thf(f3037,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_45
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f3036]) ).
thf(f3041,plain,
( $false
| ~ spl2_45
| ~ spl2_119 ),
inference(forward_subsumption_resolution,[],[f3037,f47]) ).
thf(f3042,plain,
( ~ spl2_45
| ~ spl2_119 ),
inference(avatar_contradiction_clause,[],[f3041]) ).
thf(f3044,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_52 ),
inference(constrained_superposition,[],[f204,f827]) ).
thf(f3047,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_55 ),
inference(constrained_superposition,[],[f204,f857]) ).
thf(f3050,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f3047]) ).
thf(f3051,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f3044]) ).
thf(f3056,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_45
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f3050,f761]) ).
thf(f3057,plain,
( $false
| ~ spl2_17
| ~ spl2_45
| ~ spl2_52 ),
inference(forward_subsumption_resolution,[],[f3051,f761]) ).
thf(f3058,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_52 ),
inference(avatar_contradiction_clause,[],[f3057]) ).
thf(f3059,plain,
( spl2_47
| ~ spl2_17
| ~ spl2_45
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f3056,f856,f760,f203,f789]) ).
thf(f3063,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_45
| ~ spl2_54
| ~ spl2_55 ),
inference(constrained_superposition,[],[f1554,f1345]) ).
thf(f3066,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_45
| ~ spl2_54
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f3063]) ).
thf(f3072,plain,
( spl2_91
| ~ spl2_45
| ~ spl2_54
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f3066,f856,f846,f760,f1576]) ).
thf(f3074,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_56 ),
inference(constrained_superposition,[],[f894,f84]) ).
thf(f3080,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_56 ),
inference(trivial_inequality_removal,[],[f3074]) ).
thf(f3118,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| spl2_11
| ~ spl2_75 ),
inference(forward_subsumption_resolution,[],[f1628,f201]) ).
thf(f3121,definition,
( spl2_124
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f3122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f3121]) ).
thf(f3124,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_11
| ~ spl2_75 ),
inference(forward_subsumption_resolution,[],[f3118,f47]) ).
thf(f3126,plain,
( spl2_124
| spl2_11
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f3124,f1150,f124,f3121]) ).
thf(f3210,plain,
( spl2_76
| spl2_56 ),
inference(avatar_split_clause,[],[f3080,f893,f1192]) ).
thf(f3211,plain,
( ~ spl2_56
| spl2_75
| spl2_58
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f1549,f856,f899,f1150,f893]) ).
thf(f3320,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72 ),
inference(avatar_component_clause,[],[f1083]) ).
thf(f3727,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_55
| ~ spl2_56 ),
inference(constrained_superposition,[],[f1550,f2555]) ).
thf(f3730,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_32
| ~ spl2_56 ),
inference(constrained_superposition,[],[f537,f2555]) ).
thf(f3731,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f29,f2555]) ).
thf(f3735,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_32
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f3730]) ).
thf(f3737,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f3731]) ).
thf(f3738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_52
| ~ spl2_55
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f3727]) ).
thf(f3763,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_72 ),
inference(constrained_superposition,[],[f844,f3320]) ).
thf(f3766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f93,f3320]) ).
thf(f3768,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_52
| ~ spl2_72 ),
inference(constrained_superposition,[],[f1265,f3320]) ).
thf(f3769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_72 ),
inference(constrained_superposition,[],[f1256,f3320]) ).
thf(f3772,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_72 ),
inference(duplicate_literal_removal,[],[f3769]) ).
thf(f3773,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f3772]) ).
thf(f3777,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_52
| ~ spl2_72 ),
inference(duplicate_literal_removal,[],[f3768]) ).
thf(f3778,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_52
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f3777]) ).
thf(f3780,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f3763]) ).
thf(f3781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f3766]) ).
thf(f3785,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_45
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f3773,f761]) ).
thf(f3787,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f3778,f827]) ).
thf(f3789,plain,
( $false
| ~ spl2_45
| ~ spl2_53
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f3780,f761]) ).
thf(f3790,plain,
( ~ spl2_45
| ~ spl2_53
| ~ spl2_72 ),
inference(avatar_contradiction_clause,[],[f3789]) ).
thf(f3791,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f3781,f84]) ).
thf(f3794,plain,
( spl2_95
| ~ spl2_45
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f3785,f1083,f760,f1782]) ).
thf(f3795,plain,
( spl2_95
| ~ spl2_52
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f3787,f1083,f826,f1782]) ).
thf(f3796,plain,
( spl2_58
| spl2_76
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f3791,f1083,f1192,f899]) ).
thf(f3815,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_33
| spl2_54 ),
inference(constrained_superposition,[],[f847,f632]) ).
thf(f3829,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_33
| spl2_54 ),
inference(trivial_inequality_removal,[],[f3815]) ).
thf(f3834,plain,
( $false
| ~ spl2_33
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f3829,f47]) ).
thf(f3835,plain,
( ~ spl2_33
| spl2_54 ),
inference(avatar_contradiction_clause,[],[f3834]) ).
thf(f4303,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_47 ),
inference(avatar_component_clause,[],[f789]) ).
thf(f4319,definition,
( spl2_129
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f4320,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f4319]) ).
thf(f4345,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_47 ),
inference(extensionality_resolution,[],[f82,f4303]) ).
thf(f4346,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_47 ),
inference(extensionality_resolution,[],[f82,f4303]) ).
thf(f4350,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_47 ),
inference(extensionality_resolution,[],[f50,f4303]) ).
thf(f4354,definition,
( spl2_133
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f4355,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f4354]) ).
thf(f4357,definition,
( spl2_134
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f4358,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f4357]) ).
thf(f4359,plain,
( spl2_133
| spl2_134
| spl2_47 ),
inference(avatar_split_clause,[],[f4346,f789,f4357,f4354]) ).
thf(f4361,definition,
( spl2_135
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f4362,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f4361]) ).
thf(f4364,definition,
( spl2_136
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).
thf(f4365,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f4364]) ).
thf(f4366,plain,
( spl2_135
| spl2_136
| spl2_47 ),
inference(avatar_split_clause,[],[f4350,f789,f4364,f4361]) ).
thf(f4368,definition,
( spl2_137
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f4369,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f4368]) ).
thf(f4371,definition,
( spl2_138
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).
thf(f4372,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138 ),
inference(avatar_component_clause,[],[f4371]) ).
thf(f4373,plain,
( spl2_137
| spl2_138
| spl2_47 ),
inference(avatar_split_clause,[],[f4345,f789,f4371,f4368]) ).
thf(f4393,definition,
( spl2_139
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f4394,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_139 ),
inference(avatar_component_clause,[],[f4393]) ).
thf(f4409,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_136 ),
inference(constrained_superposition,[],[f23,f4365]) ).
thf(f4419,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f4409]) ).
thf(f4423,definition,
( spl2_140
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f4424,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f4423]) ).
thf(f4426,definition,
( spl2_141
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).
thf(f4427,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_141 ),
inference(avatar_component_clause,[],[f4426]) ).
thf(f4428,plain,
( spl2_140
| spl2_141
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f4419,f4364,f4426,f4423]) ).
thf(f4433,plain,
( ( $true != $true )
| ~ spl2_136
| ~ spl2_140 ),
inference(constrained_superposition,[],[f4424,f4365]) ).
thf(f4443,plain,
( $false
| ~ spl2_136
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f4433]) ).
thf(f4444,plain,
( ~ spl2_136
| ~ spl2_140 ),
inference(avatar_contradiction_clause,[],[f4443]) ).
thf(f4460,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_11
| spl2_139 ),
inference(constrained_superposition,[],[f4394,f2891]) ).
thf(f4465,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_11
| spl2_139 ),
inference(trivial_inequality_removal,[],[f4460]) ).
thf(f4468,definition,
( spl2_143
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f4469,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f4468]) ).
thf(f4471,definition,
( spl2_144
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f4472,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f4471]) ).
thf(f4474,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_11
| spl2_139 ),
inference(forward_subsumption_resolution,[],[f4465,f47]) ).
thf(f4476,definition,
( spl2_145
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f4477,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f4476]) ).
thf(f4479,plain,
( spl2_89
| spl2_143
| spl2_11
| spl2_139 ),
inference(avatar_split_clause,[],[f4474,f4393,f124,f4468,f1438]) ).
thf(f4490,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f84,f4469]) ).
thf(f4500,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f450,f4469]) ).
thf(f4557,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_6
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f4490,f102]) ).
thf(f4561,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_72
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f4500,f1084]) ).
thf(f4577,plain,
( $false
| spl2_6
| spl2_20
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f4557,f268]) ).
thf(f4578,plain,
( spl2_6
| spl2_20
| ~ spl2_143 ),
inference(avatar_contradiction_clause,[],[f4577]) ).
thf(f4581,plain,
( spl2_97
| spl2_72
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f4561,f4468,f1083,f1793]) ).
thf(f4589,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_53
| ~ spl2_82
| ~ spl2_89 ),
inference(constrained_superposition,[],[f2195,f1439]) ).
thf(f4593,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_53
| ~ spl2_82
| ~ spl2_89 ),
inference(trivial_inequality_removal,[],[f4589]) ).
thf(f4596,definition,
( spl2_146
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f4597,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f4596]) ).
thf(f4598,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_87 ),
inference(avatar_component_clause,[],[f1431]) ).
thf(f4599,plain,
( spl2_143
| spl2_146
| spl2_87
| ~ spl2_53
| ~ spl2_82
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f4593,f1438,f1246,f843,f1431,f4596,f4468]) ).
thf(f4602,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f450,f4597]) ).
thf(f4603,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_39
| ~ spl2_146 ),
inference(constrained_superposition,[],[f739,f4597]) ).
thf(f4667,plain,
( $false
| ~ spl2_39
| spl2_72
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f4603,f1084]) ).
thf(f4668,plain,
( ~ spl2_39
| spl2_72
| ~ spl2_146 ),
inference(avatar_contradiction_clause,[],[f4667]) ).
thf(f4674,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_72
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f4602,f1084]) ).
thf(f4680,plain,
( spl2_97
| spl2_72
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f4674,f4596,f1083,f1793]) ).
thf(f4684,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_135 ),
inference(constrained_superposition,[],[f844,f4362]) ).
thf(f4687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_56
| ~ spl2_135 ),
inference(constrained_superposition,[],[f3737,f4362]) ).
thf(f4689,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_135 ),
inference(constrained_superposition,[],[f165,f4362]) ).
thf(f4693,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f4687]) ).
thf(f4694,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f4689]) ).
thf(f4696,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f4684]) ).
thf(f4698,plain,
( ~ spl2_139
| spl2_88
| ~ spl2_56
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f4693,f4361,f893,f1434,f4393]) ).
thf(f4699,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_52
| ~ spl2_135 ),
inference(forward_subsumption_resolution,[],[f4694,f827]) ).
thf(f4702,definition,
( spl2_147
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f4703,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f4702]) ).
thf(f4704,plain,
( spl2_89
| spl2_147
| ~ spl2_8
| ~ spl2_52
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f4699,f4361,f826,f114,f4702,f1438]) ).
thf(f4716,definition,
( spl2_148
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f4717,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f4716]) ).
thf(f4719,definition,
( spl2_149
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f4720,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f4719]) ).
thf(f4725,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_135
| ~ spl2_146 ),
inference(constrained_superposition,[],[f4362,f4597]) ).
thf(f4770,plain,
( $false
| spl2_72
| ~ spl2_135
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f4725,f1084]) ).
thf(f4771,plain,
( spl2_72
| ~ spl2_135
| ~ spl2_146 ),
inference(avatar_contradiction_clause,[],[f4770]) ).
thf(f4775,plain,
( spl2_101
| ~ spl2_52
| ~ spl2_55
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f3738,f893,f856,f826,f2100]) ).
thf(f4791,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_97 ),
inference(constrained_superposition,[],[f62,f1794]) ).
thf(f4797,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f23,f1794]) ).
thf(f4802,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_97 ),
inference(duplicate_literal_removal,[],[f4797]) ).
thf(f4803,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f4802]) ).
thf(f4809,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f4791]) ).
thf(f4812,definition,
( spl2_151
<=> ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f4813,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f4812]) ).
thf(f4814,plain,
( spl2_36
| spl2_151
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f4803,f1793,f4812,f726]) ).
thf(f4815,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_2
| spl2_54
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f4809,f847]) ).
thf(f4816,plain,
( ~ spl2_42
| ~ spl2_2
| spl2_54
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f4815,f1793,f846,f61,f748]) ).
thf(f4819,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_58
| ~ spl2_135 ),
inference(constrained_superposition,[],[f900,f4362]) ).
thf(f4828,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_58
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f4819]) ).
thf(f4832,plain,
( ~ spl2_87
| ~ spl2_58
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f4828,f4361,f899,f1431]) ).
thf(f4833,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| spl2_87 ),
inference(constrained_superposition,[],[f1432,f129]) ).
thf(f4837,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| spl2_87 ),
inference(trivial_inequality_removal,[],[f4833]) ).
thf(f4840,definition,
( spl2_152
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4841,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4840]) ).
thf(f4843,plain,
( $false
| ~ spl2_8
| ~ spl2_53
| spl2_87
| ~ spl2_135 ),
inference(forward_subsumption_resolution,[],[f4837,f4696]) ).
thf(f4844,plain,
( ~ spl2_8
| ~ spl2_53
| spl2_87
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f4843]) ).
thf(f4856,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_87 ),
inference(constrained_superposition,[],[f1200,f4598]) ).
thf(f4862,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_87 ),
inference(trivial_inequality_removal,[],[f4856]) ).
thf(f4866,definition,
( spl2_153
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f4867,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_153 ),
inference(avatar_component_clause,[],[f4866]) ).
thf(f4869,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_87 ),
inference(forward_subsumption_resolution,[],[f4862,f47]) ).
thf(f4871,definition,
( spl2_154
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f4872,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f4871]) ).
thf(f4874,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f4866]) ).
thf(f4875,plain,
( spl2_153
| spl2_146
| ~ spl2_78
| ~ spl2_87 ),
inference(avatar_split_clause,[],[f4869,f1431,f1199,f4596,f4866]) ).
thf(f4886,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_136 ),
inference(constrained_superposition,[],[f62,f4365]) ).
thf(f4895,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f4886]) ).
thf(f4903,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_2
| spl2_54
| ~ spl2_136 ),
inference(forward_subsumption_resolution,[],[f4895,f847]) ).
thf(f4905,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| spl2_54
| ~ spl2_136 ),
inference(constrained_superposition,[],[f4903,f49]) ).
thf(f4908,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| spl2_54
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f4905]) ).
thf(f4910,plain,
( spl2_89
| ~ spl2_2
| spl2_54
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f4908,f4364,f846,f61,f1438]) ).
thf(f4912,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_53
| ~ spl2_89 ),
inference(constrained_superposition,[],[f1830,f1439]) ).
thf(f4915,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_53
| ~ spl2_89 ),
inference(trivial_inequality_removal,[],[f4912]) ).
thf(f4920,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_53
| ~ spl2_89 ),
inference(forward_subsumption_resolution,[],[f4915,f47]) ).
thf(f4921,plain,
( spl2_153
| spl2_146
| ~ spl2_50
| ~ spl2_53
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f4920,f1438,f843,f807,f4596,f4866]) ).
thf(f4924,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f29,f4874]) ).
thf(f4926,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f4924]) ).
thf(f4936,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_55
| ~ spl2_154 ),
inference(constrained_superposition,[],[f4872,f857]) ).
thf(f4940,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_55
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f4936]) ).
thf(f4946,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_55
| ~ spl2_154 ),
inference(forward_subsumption_resolution,[],[f4940,f761]) ).
thf(f4947,plain,
( spl2_146
| ~ spl2_45
| ~ spl2_55
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f4946,f4871,f856,f760,f4596]) ).
thf(f4959,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f93,f4355]) ).
thf(f4964,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f4959]) ).
thf(f4966,definition,
( spl2_155
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_155])],[avatar_definition]) ).
thf(f4967,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_155 ),
inference(avatar_component_clause,[],[f4966]) ).
thf(f4969,definition,
( spl2_156
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f4970,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f4969]) ).
thf(f4972,definition,
( spl2_157
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f4973,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f4972]) ).
thf(f4974,plain,
( ~ spl2_155
| spl2_156
| spl2_157
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f4964,f4354,f4972,f4969,f4966]) ).
thf(f4988,definition,
( spl2_159
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f4989,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f4988]) ).
thf(f4996,definition,
( spl2_161
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f4997,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f4996]) ).
thf(f5006,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_159 ),
inference(constrained_superposition,[],[f85,f4989]) ).
thf(f5014,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_159 ),
inference(constrained_superposition,[],[f450,f4989]) ).
thf(f5056,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_6
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f5006,f102]) ).
thf(f5058,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_72
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f5014,f1084]) ).
thf(f5071,plain,
( $false
| spl2_6
| spl2_20
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f5056,f268]) ).
thf(f5072,plain,
( spl2_6
| spl2_20
| ~ spl2_159 ),
inference(avatar_contradiction_clause,[],[f5071]) ).
thf(f5073,plain,
( spl2_97
| spl2_72
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f5058,f4988,f1083,f1793]) ).
thf(f5079,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f111,f4369]) ).
thf(f5097,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f5079]) ).
thf(f5100,definition,
( spl2_162
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f5101,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_162 ),
inference(avatar_component_clause,[],[f5100]) ).
thf(f5103,definition,
( spl2_163
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_163])],[avatar_definition]) ).
thf(f5104,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f5103]) ).
thf(f5107,definition,
( spl2_164
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f5108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f5107]) ).
thf(f5114,definition,
( spl2_166
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f5115,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f5114]) ).
thf(f5120,definition,
( spl2_167
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f5121,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f5120]) ).
thf(f5123,definition,
( spl2_168
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f5124,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f5123]) ).
thf(f5125,plain,
( ~ spl2_162
| spl2_167
| spl2_168
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f5097,f4368,f5123,f5120,f5100]) ).
thf(f5128,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_162 ),
inference(constrained_superposition,[],[f5101,f50]) ).
thf(f5130,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_162 ),
inference(trivial_inequality_removal,[],[f5128]) ).
thf(f5133,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_162 ),
inference(forward_subsumption_resolution,[],[f5130,f47]) ).
thf(f5137,plain,
( $false
| spl2_87
| spl2_162 ),
inference(forward_subsumption_resolution,[],[f5133,f1432]) ).
thf(f5138,plain,
( spl2_87
| spl2_162 ),
inference(avatar_contradiction_clause,[],[f5137]) ).
thf(f5147,definition,
( spl2_169
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f5148,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f5147]) ).
thf(f5152,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_153 ),
inference(constrained_superposition,[],[f1435,f4874]) ).
thf(f5158,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f5152]) ).
thf(f5164,plain,
( $false
| ~ spl2_9
| ~ spl2_88
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f5158,f118]) ).
thf(f5165,plain,
( ~ spl2_9
| ~ spl2_88
| ~ spl2_153 ),
inference(avatar_contradiction_clause,[],[f5164]) ).
thf(f5175,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f186,f5148]) ).
thf(f5188,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f5175]) ).
thf(f5196,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f5188,f47]) ).
thf(f5198,definition,
( spl2_171
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f5199,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f5198]) ).
thf(f5202,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_11
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f5196,f201]) ).
thf(f5203,plain,
( spl2_161
| spl2_167
| spl2_11
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f5202,f5147,f124,f5120,f4996]) ).
thf(f5204,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_167 ),
inference(constrained_superposition,[],[f5121,f85]) ).
thf(f5206,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_167 ),
inference(constrained_superposition,[],[f5121,f49]) ).
thf(f5208,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_167 ),
inference(constrained_superposition,[],[f5121,f28]) ).
thf(f5210,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f5208]) ).
thf(f5212,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f5204]) ).
thf(f5213,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f5206]) ).
thf(f5214,plain,
( spl2_166
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f5210,f5120,f5114]) ).
thf(f5215,plain,
( spl2_168
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f5212,f5120,f5123]) ).
thf(f5216,plain,
( spl2_161
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f5213,f5120,f4996]) ).
thf(f5229,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_168 ),
inference(constrained_superposition,[],[f152,f5124]) ).
thf(f5234,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f5229]) ).
thf(f5235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_168
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f5234,f5199]) ).
thf(f5237,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_138
| ~ spl2_168
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5235,f4372]) ).
thf(f5244,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_138
| ~ spl2_168
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f5237]) ).
thf(f5251,plain,
( $false
| ~ spl2_9
| ~ spl2_89
| ~ spl2_138
| ~ spl2_168
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f5244,f1439]) ).
thf(f5252,plain,
( ~ spl2_9
| ~ spl2_89
| ~ spl2_138
| ~ spl2_168
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f5251]) ).
thf(f5255,definition,
( spl2_172
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f5256,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f5255]) ).
thf(f5262,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_163
| ~ spl2_169 ),
inference(constrained_superposition,[],[f5148,f5104]) ).
thf(f5263,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5199,f5104]) ).
thf(f5265,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f450,f5104]) ).
thf(f5301,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_72
| ~ spl2_163 ),
inference(forward_subsumption_resolution,[],[f5265,f1084]) ).
thf(f5303,plain,
( $false
| spl2_54
| ~ spl2_163
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f5263,f847]) ).
thf(f5304,plain,
( spl2_54
| ~ spl2_163
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f5303]) ).
thf(f5305,plain,
( spl2_76
| ~ spl2_163
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f5262,f5147,f5103,f1192]) ).
thf(f5306,plain,
( spl2_97
| spl2_72
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f5301,f5103,f1083,f1793]) ).
thf(f5307,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_171 ),
inference(avatar_component_clause,[],[f5198]) ).
thf(f5309,definition,
( spl2_173
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f5310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f5309]) ).
thf(f5311,plain,
( ~ spl2_171
| spl2_173
| ~ spl2_9
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f5234,f5123,f117,f5309,f5198]) ).
thf(f5320,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_11
| ~ spl2_29 ),
inference(constrained_superposition,[],[f201,f485]) ).
thf(f5332,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_11
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f5320]) ).
thf(f5335,plain,
( $false
| spl2_11
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f5332,f47]) ).
thf(f5336,plain,
( spl2_11
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f5335]) ).
thf(f5337,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_36 ),
inference(constrained_superposition,[],[f727,f450]) ).
thf(f5346,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f5337]) ).
thf(f5349,plain,
( spl2_39
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f5346,f726,f738]) ).
thf(f5366,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f4813,f48]) ).
thf(f5369,plain,
( ( $true != $true )
| ~ spl2_136
| ~ spl2_151 ),
inference(constrained_superposition,[],[f4813,f4365]) ).
thf(f5370,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f5366]) ).
thf(f5373,plain,
( $false
| ~ spl2_136
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f5369]) ).
thf(f5374,plain,
( ~ spl2_136
| ~ spl2_151 ),
inference(avatar_contradiction_clause,[],[f5373]) ).
thf(f5376,plain,
( $false
| spl2_54
| ~ spl2_151 ),
inference(forward_subsumption_resolution,[],[f5370,f847]) ).
thf(f5377,plain,
( spl2_54
| ~ spl2_151 ),
inference(avatar_contradiction_clause,[],[f5376]) ).
thf(f5390,plain,
( $false
| ~ spl2_36
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f1794,f727]) ).
thf(f5391,plain,
( ~ spl2_36
| ~ spl2_97 ),
inference(avatar_contradiction_clause,[],[f5390]) ).
thf(f5399,definition,
( spl2_174
<=> ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f5400,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f5399]) ).
thf(f5402,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_139 ),
inference(constrained_superposition,[],[f4394,f84]) ).
thf(f5409,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_139 ),
inference(trivial_inequality_removal,[],[f5402]) ).
thf(f5412,plain,
( spl2_156
| spl2_139 ),
inference(avatar_split_clause,[],[f5409,f4393,f4969]) ).
thf(f5434,definition,
( spl2_175
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5435,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5434]) ).
thf(f5438,definition,
( spl2_176
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5439,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f5438]) ).
thf(f5444,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_45 ),
inference(constrained_superposition,[],[f1256,f739]) ).
thf(f5447,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f5444]) ).
thf(f5502,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4703,f4355]) ).
thf(f5515,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f5502]) ).
thf(f5517,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_50
| ~ spl2_133
| ~ spl2_147 ),
inference(constrained_superposition,[],[f5515,f808]) ).
thf(f5521,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_133
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f5517]) ).
thf(f5527,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_133
| ~ spl2_147
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f5521,f5307]) ).
thf(f5532,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_133
| ~ spl2_147
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f5527,f47]) ).
thf(f5533,plain,
( spl2_163
| ~ spl2_50
| ~ spl2_133
| ~ spl2_147
| spl2_171 ),
inference(avatar_split_clause,[],[f5532,f5198,f4702,f4354,f807,f5103]) ).
thf(f5536,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_157 ),
inference(constrained_superposition,[],[f4973,f739]) ).
thf(f5542,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_39
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f5536]) ).
thf(f5548,plain,
( $false
| ~ spl2_39
| ~ spl2_52
| ~ spl2_157 ),
inference(forward_subsumption_resolution,[],[f5542,f827]) ).
thf(f5549,plain,
( ~ spl2_39
| ~ spl2_52
| ~ spl2_157 ),
inference(avatar_contradiction_clause,[],[f5548]) ).
thf(f5636,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_45
| ~ spl2_89 ),
inference(constrained_superposition,[],[f5447,f1439]) ).
thf(f5641,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_45
| ~ spl2_89 ),
inference(trivial_inequality_removal,[],[f5636]) ).
thf(f5644,plain,
( spl2_147
| ~ spl2_39
| ~ spl2_45
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f5641,f1438,f760,f738,f4702]) ).
thf(f5650,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f111,f4358]) ).
thf(f5666,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f5650]) ).
thf(f5672,definition,
( spl2_179
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f5673,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_179 ),
inference(avatar_component_clause,[],[f5672]) ).
thf(f5675,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_87
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f5666,f1432]) ).
thf(f5678,plain,
( ~ spl2_179
| spl2_140
| spl2_87
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f5675,f4357,f1431,f4423,f5672]) ).
thf(f5681,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_179 ),
inference(constrained_superposition,[],[f5673,f85]) ).
thf(f5686,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_179 ),
inference(trivial_inequality_removal,[],[f5681]) ).
thf(f5694,definition,
( spl2_180
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f5695,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f5694]) ).
thf(f5701,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_58
| ~ spl2_180 ),
inference(constrained_superposition,[],[f900,f5695]) ).
thf(f5704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_180 ),
inference(constrained_superposition,[],[f3737,f5695]) ).
thf(f5709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f5704]) ).
thf(f5715,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_58
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f5701]) ).
thf(f5716,plain,
( ~ spl2_155
| spl2_157
| ~ spl2_56
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f5709,f5694,f893,f4972,f4966]) ).
thf(f5719,plain,
( $false
| ~ spl2_58
| ~ spl2_168
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f5715,f5124]) ).
thf(f5720,plain,
( ~ spl2_58
| ~ spl2_168
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f5719]) ).
thf(f5724,definition,
( spl2_181
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f5725,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f5724]) ).
thf(f5727,definition,
( spl2_182
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f5728,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_182 ),
inference(avatar_component_clause,[],[f5727]) ).
thf(f5732,definition,
( spl2_183
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5733,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f5732]) ).
thf(f5737,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_182 ),
inference(constrained_superposition,[],[f5728,f50]) ).
thf(f5742,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_182 ),
inference(trivial_inequality_removal,[],[f5737]) ).
thf(f5745,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_47
| spl2_182 ),
inference(forward_subsumption_resolution,[],[f5742,f4303]) ).
thf(f5746,plain,
( spl2_183
| spl2_47
| spl2_182 ),
inference(avatar_split_clause,[],[f5745,f5727,f789,f5732]) ).
thf(f5769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_52
| ~ spl2_181 ),
inference(constrained_superposition,[],[f1265,f5725]) ).
thf(f5776,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f5769]) ).
thf(f5779,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_52
| ~ spl2_168
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f5776,f5124]) ).
thf(f5784,definition,
( spl2_186
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f5785,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f5784]) ).
thf(f5787,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_161 ),
inference(avatar_component_clause,[],[f4996]) ).
thf(f5789,plain,
( spl2_186
| ~ spl2_52
| ~ spl2_168
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f5779,f5724,f5123,f826,f5784]) ).
thf(f5797,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_133
| ~ spl2_153 ),
inference(constrained_superposition,[],[f4926,f4355]) ).
thf(f5799,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_133 ),
inference(constrained_superposition,[],[f165,f4355]) ).
thf(f5802,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_8
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f5799]) ).
thf(f5803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_133
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f5797]) ).
thf(f5805,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_60
| ~ spl2_168 ),
inference(constrained_superposition,[],[f911,f5124]) ).
thf(f5810,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_60
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f5805]) ).
thf(f5813,plain,
( spl2_186
| ~ spl2_60
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f5810,f5123,f910,f5784]) ).
thf(f5903,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_135 ),
inference(avatar_component_clause,[],[f4361]) ).
thf(f5933,definition,
( spl2_193
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f5934,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_193 ),
inference(avatar_component_clause,[],[f5933]) ).
thf(f5956,plain,
( spl2_168
| spl2_179 ),
inference(avatar_split_clause,[],[f5686,f5672,f5123]) ).
thf(f5988,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_183 ),
inference(avatar_component_clause,[],[f5732]) ).
thf(f5997,plain,
( ~ spl2_171
| spl2_173
| ~ spl2_133
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f5803,f4866,f4354,f5309,f5198]) ).
thf(f6000,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_8
| ~ spl2_9
| ~ spl2_171 ),
inference(constrained_superposition,[],[f166,f5199]) ).
thf(f6007,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_9
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f6000]) ).
thf(f6009,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_8
| ~ spl2_9
| spl2_161
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f6007,f5787]) ).
thf(f6011,plain,
( spl2_173
| ~ spl2_8
| ~ spl2_9
| spl2_161
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f6009,f5198,f4996,f117,f114,f5309]) ).
thf(f6013,plain,
( ~ spl2_54
| spl2_119
| ~ spl2_32
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f3735,f893,f536,f2854,f846]) ).
thf(f6014,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_133
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f5802,f5787]) ).
thf(f6016,definition,
( spl2_196
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).
thf(f6017,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f6016]) ).
thf(f6018,plain,
( spl2_196
| ~ spl2_87
| ~ spl2_8
| ~ spl2_133
| spl2_161 ),
inference(avatar_split_clause,[],[f6014,f4996,f4354,f114,f1431,f6016]) ).
thf(f6042,plain,
( ( $true != $true )
| ~ spl2_26
| spl2_161 ),
inference(constrained_superposition,[],[f5787,f353]) ).
thf(f6054,plain,
( $false
| ~ spl2_26
| spl2_161 ),
inference(trivial_inequality_removal,[],[f6042]) ).
thf(f6055,plain,
( ~ spl2_26
| spl2_161 ),
inference(avatar_contradiction_clause,[],[f6054]) ).
thf(f6066,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_35 ),
inference(constrained_superposition,[],[f724,f105]) ).
thf(f6068,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_141 ),
inference(constrained_superposition,[],[f4427,f105]) ).
thf(f6078,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f6066]) ).
thf(f6084,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f6068]) ).
thf(f6091,plain,
( $false
| ~ spl2_7
| ~ spl2_141 ),
inference(forward_subsumption_resolution,[],[f6084,f105]) ).
thf(f6092,plain,
( ~ spl2_7
| ~ spl2_141 ),
inference(avatar_contradiction_clause,[],[f6091]) ).
thf(f6093,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f6078,f105]) ).
thf(f6094,plain,
( spl2_39
| ~ spl2_7
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f6093,f723,f104,f738]) ).
thf(f6110,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_52
| ~ spl2_55 ),
inference(constrained_superposition,[],[f1205,f857]) ).
thf(f6115,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_52
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f6110]) ).
thf(f6117,plain,
( $false
| spl2_47
| spl2_52
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f6115,f4303]) ).
thf(f6118,plain,
( spl2_47
| spl2_52
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f6117]) ).
thf(f6120,definition,
( spl2_197
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f6121,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f6120]) ).
thf(f6123,plain,
( spl2_47
| spl2_52
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f6115,f856,f826,f789]) ).
thf(f6179,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f41,f790]) ).
thf(f6207,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f267]) ).
thf(f6221,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f4393]) ).
thf(f6246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f29,f125]) ).
thf(f6247,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f6246]) ).
thf(f6268,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_47 ),
inference(equality_resolution,[],[f6179]) ).
thf(f6269,plain,
( $false
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f6268,f47]) ).
thf(f6270,plain,
~ spl2_47,
inference(avatar_contradiction_clause,[],[f6269]) ).
thf(f6272,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_47 ),
inference(extensionality_resolution,[],[f82,f4303]) ).
thf(f6273,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_47 ),
inference(extensionality_resolution,[],[f82,f4303]) ).
thf(f6274,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_47 ),
inference(extensionality_resolution,[],[f54,f4303]) ).
thf(f6277,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_47 ),
inference(extensionality_resolution,[],[f50,f4303]) ).
thf(f6280,plain,
( spl2_137
| spl2_138
| spl2_47 ),
inference(avatar_split_clause,[],[f6272,f789,f4371,f4368]) ).
thf(f6281,plain,
( spl2_134
| spl2_133
| spl2_47 ),
inference(avatar_split_clause,[],[f6273,f789,f4354,f4357]) ).
thf(f6282,plain,
( spl2_136
| spl2_135
| spl2_47 ),
inference(avatar_split_clause,[],[f6277,f789,f4361,f4364]) ).
thf(f6283,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_193 ),
inference(constrained_superposition,[],[f5934,f48]) ).
thf(f6285,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_193 ),
inference(trivial_inequality_removal,[],[f6283]) ).
thf(f6287,plain,
( spl2_54
| spl2_193 ),
inference(avatar_split_clause,[],[f6285,f5933,f846]) ).
thf(f6296,plain,
( $false
| ~ spl2_20
| ~ spl2_90 ),
inference(forward_subsumption_resolution,[],[f6207,f1453]) ).
thf(f6297,plain,
( ~ spl2_20
| ~ spl2_90 ),
inference(avatar_contradiction_clause,[],[f6296]) ).
thf(f6306,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f23,f6207]) ).
thf(f6307,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20 ),
inference(duplicate_literal_removal,[],[f6306]) ).
thf(f6308,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f6307]) ).
thf(f6318,plain,
( spl2_10
| spl2_90
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f6308,f267,f1452,f121]) ).
thf(f6324,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f29,f827]) ).
thf(f6327,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f6324]) ).
thf(f6338,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f4424,f85]) ).
thf(f6342,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f4424,f28]) ).
thf(f6343,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f6338]) ).
thf(f6344,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f6342]) ).
thf(f6348,plain,
( spl2_87
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f6343,f4423,f1431]) ).
thf(f6349,plain,
( spl2_149
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f6344,f4423,f4719]) ).
thf(f6367,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f739]) ).
thf(f6370,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f6367]) ).
thf(f6389,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_135 ),
inference(constrained_superposition,[],[f844,f4362]) ).
thf(f6398,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f6389]) ).
thf(f6406,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_155 ),
inference(constrained_superposition,[],[f4967,f84]) ).
thf(f6409,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_155 ),
inference(trivial_inequality_removal,[],[f6406]) ).
thf(f6424,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_91 ),
inference(constrained_superposition,[],[f1577,f118]) ).
thf(f6425,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_91
| ~ spl2_171 ),
inference(constrained_superposition,[],[f1577,f5199]) ).
thf(f6427,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f6424]) ).
thf(f6429,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_91
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f6425]) ).
thf(f6430,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_91 ),
inference(forward_subsumption_resolution,[],[f6427,f125]) ).
thf(f6432,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_91
| ~ spl2_161
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f6429,f4997]) ).
thf(f6433,plain,
( $false
| ~ spl2_9
| ~ spl2_11
| spl2_47
| ~ spl2_91 ),
inference(forward_subsumption_resolution,[],[f6430,f4303]) ).
thf(f6434,plain,
( ~ spl2_9
| ~ spl2_11
| spl2_47
| ~ spl2_91 ),
inference(avatar_contradiction_clause,[],[f6433]) ).
thf(f6436,plain,
( spl2_163
| ~ spl2_91
| ~ spl2_161
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f6432,f5198,f4996,f1576,f5103]) ).
thf(f6483,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_173 ),
inference(constrained_superposition,[],[f5310,f739]) ).
thf(f6491,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_39
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f6483]) ).
thf(f6497,plain,
( $false
| ~ spl2_39
| ~ spl2_45
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f6491,f761]) ).
thf(f6498,plain,
( ~ spl2_39
| ~ spl2_45
| ~ spl2_173 ),
inference(avatar_contradiction_clause,[],[f6497]) ).
thf(f6503,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_101 ),
inference(constrained_superposition,[],[f2101,f125]) ).
thf(f6505,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f6503]) ).
thf(f6508,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_101 ),
inference(forward_subsumption_resolution,[],[f6505,f118]) ).
thf(f6510,plain,
( $false
| ~ spl2_9
| ~ spl2_11
| ~ spl2_101 ),
inference(forward_subsumption_resolution,[],[f6508,f47]) ).
thf(f6511,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_101 ),
inference(avatar_contradiction_clause,[],[f6510]) ).
thf(f6604,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_164 ),
inference(constrained_superposition,[],[f5108,f105]) ).
thf(f6608,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f6604]) ).
thf(f6611,plain,
( $false
| ~ spl2_7
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f6608,f105]) ).
thf(f6612,plain,
( ~ spl2_7
| ~ spl2_164 ),
inference(avatar_contradiction_clause,[],[f6611]) ).
thf(f6614,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_196 ),
inference(constrained_superposition,[],[f6017,f739]) ).
thf(f6626,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f6614]) ).
thf(f6628,plain,
( $false
| ~ spl2_39
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f6626,f739]) ).
thf(f6629,plain,
( ~ spl2_39
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f6628]) ).
thf(f6659,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f6247,f84]) ).
thf(f6662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f6659]) ).
thf(f6687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_52
| ~ spl2_55 ),
inference(constrained_superposition,[],[f6327,f857]) ).
thf(f6698,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_52
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f6687]) ).
thf(f6699,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_52
| ~ spl2_55 ),
inference(constrained_superposition,[],[f6698,f84]) ).
thf(f6704,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_52
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f6699]) ).
thf(f6717,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_168 ),
inference(avatar_component_clause,[],[f5123]) ).
thf(f6734,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_39
| ~ spl2_133 ),
inference(constrained_superposition,[],[f6370,f4355]) ).
thf(f6748,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f6734]) ).
thf(f6750,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f6748,f739]) ).
thf(f6751,plain,
( spl2_186
| ~ spl2_39
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f6750,f4354,f738,f5784]) ).
thf(f6754,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_138
| ~ spl2_186 ),
inference(constrained_superposition,[],[f5785,f4372]) ).
thf(f6761,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_138
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f6754]) ).
thf(f6766,plain,
( $false
| ~ spl2_135
| ~ spl2_138
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f6761,f4362]) ).
thf(f6767,plain,
( ~ spl2_135
| ~ spl2_138
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f6766]) ).
thf(f6768,plain,
( spl2_76
| spl2_101
| ~ spl2_52
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f6704,f856,f826,f2100,f1192]) ).
thf(f6774,plain,
( spl2_169
| spl2_155 ),
inference(avatar_split_clause,[],[f6409,f4966,f5147]) ).
thf(f6881,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_31
| spl2_168 ),
inference(constrained_superposition,[],[f6717,f514]) ).
thf(f6898,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_31
| spl2_168 ),
inference(trivial_inequality_removal,[],[f6881]) ).
thf(f6902,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_31
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f6898,f47]) ).
thf(f6905,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31
| spl2_161
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f6902,f5787]) ).
thf(f6908,plain,
( spl2_159
| ~ spl2_31
| spl2_161
| spl2_168 ),
inference(avatar_split_clause,[],[f6905,f5123,f4996,f513,f4988]) ).
thf(f6949,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f186,f4369]) ).
thf(f6955,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f6949]) ).
thf(f6965,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_53
| ~ spl2_135
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f6955,f6398]) ).
thf(f6970,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_53
| ~ spl2_135
| ~ spl2_137
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f6965,f5787]) ).
thf(f6972,definition,
( spl2_205
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f6973,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_205 ),
inference(avatar_component_clause,[],[f6972]) ).
thf(f6976,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_53
| ~ spl2_135
| ~ spl2_137
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f6970,f47]) ).
thf(f6977,plain,
( spl2_167
| ~ spl2_53
| ~ spl2_135
| ~ spl2_137
| spl2_161 ),
inference(avatar_split_clause,[],[f6976,f4996,f4368,f4361,f843,f5120]) ).
thf(f6997,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_36 ),
inference(constrained_superposition,[],[f727,f28]) ).
thf(f7000,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f6997]) ).
thf(f7004,plain,
( spl2_55
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f7000,f726,f856]) ).
thf(f7022,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_87 ),
inference(constrained_superposition,[],[f152,f4598]) ).
thf(f7025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_87 ),
inference(trivial_inequality_removal,[],[f7022]) ).
thf(f7027,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_87
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f7025,f4874]) ).
thf(f7029,plain,
( spl2_154
| ~ spl2_9
| ~ spl2_87
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f7027,f4866,f1431,f117,f4871]) ).
thf(f7094,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_205 ),
inference(constrained_superposition,[],[f6973,f49]) ).
thf(f7097,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_205 ),
inference(trivial_inequality_removal,[],[f7094]) ).
thf(f7118,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1231,f28]) ).
thf(f7120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1231,f50]) ).
thf(f7121,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1231,f82]) ).
thf(f7122,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_81
| ~ spl2_136 ),
inference(constrained_superposition,[],[f1231,f4365]) ).
thf(f7125,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7120]) ).
thf(f7126,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7121]) ).
thf(f7127,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7118]) ).
thf(f7128,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_81
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f7122]) ).
thf(f7130,plain,
( ~ spl2_162
| ~ spl2_81
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f7128,f4364,f1230,f5100]) ).
thf(f7137,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_154 ),
inference(constrained_superposition,[],[f4872,f84]) ).
thf(f7143,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f7137]) ).
thf(f7149,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_154
| ~ spl2_183 ),
inference(constrained_superposition,[],[f4872,f5733]) ).
thf(f7157,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_154
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f7149]) ).
thf(f7159,plain,
( $false
| ~ spl2_45
| ~ spl2_154
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f7157,f761]) ).
thf(f7160,plain,
( ~ spl2_45
| ~ spl2_154
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f7159]) ).
thf(f7162,plain,
( spl2_89
| spl2_205 ),
inference(avatar_split_clause,[],[f7097,f6972,f1438]) ).
thf(f7163,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11
| ~ spl2_154 ),
inference(forward_subsumption_resolution,[],[f7143,f125]) ).
thf(f7165,plain,
( spl2_156
| ~ spl2_11
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f7163,f4871,f124,f4969]) ).
thf(f7174,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_87 ),
inference(constrained_superposition,[],[f1432,f479]) ).
thf(f7176,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_87 ),
inference(trivial_inequality_removal,[],[f7174]) ).
thf(f7178,plain,
( spl2_143
| spl2_149
| spl2_145
| spl2_87 ),
inference(avatar_split_clause,[],[f7176,f1431,f4476,f4719,f4468]) ).
thf(f7183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f29,f6221]) ).
thf(f7184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f7183]) ).
thf(f7190,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_89 ),
inference(avatar_component_clause,[],[f1438]) ).
thf(f7194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X1 ) )
| spl2_89 ),
inference(constrained_superposition,[],[f7190,f479]) ).
thf(f7195,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_89 ),
inference(trivial_inequality_removal,[],[f7194]) ).
thf(f7197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f7195,f47]) ).
thf(f7199,plain,
( spl2_149
| spl2_148
| spl2_89 ),
inference(avatar_split_clause,[],[f7197,f1438,f4716,f4719]) ).
thf(f7200,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_135 ),
inference(constrained_superposition,[],[f844,f4362]) ).
thf(f7203,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f29,f4362]) ).
thf(f7204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f7203]) ).
thf(f7206,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f7200]) ).
thf(f7222,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f29,f4372]) ).
thf(f7224,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f7222]) ).
thf(f7248,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f5108,f48]) ).
thf(f7255,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7248]) ).
thf(f7259,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_164
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f7255,f5307]) ).
thf(f7261,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_164
| spl2_171 ),
inference(constrained_superposition,[],[f7259,f28]) ).
thf(f7263,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| spl2_171 ),
inference(trivial_inequality_removal,[],[f7261]) ).
thf(f7266,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f7263,f47]) ).
thf(f7267,plain,
( $false
| spl2_153
| ~ spl2_164
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f7266,f4867]) ).
thf(f7268,plain,
( spl2_153
| ~ spl2_164
| spl2_171 ),
inference(avatar_contradiction_clause,[],[f7267]) ).
thf(f7271,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_139 ),
inference(constrained_superposition,[],[f7184,f4355]) ).
thf(f7275,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f7271]) ).
thf(f7282,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f724,f48]) ).
thf(f7285,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f724,f450]) ).
thf(f7288,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f7282]) ).
thf(f7289,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_35 ),
inference(duplicate_literal_removal,[],[f7285]) ).
thf(f7290,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f7289]) ).
thf(f7294,plain,
( spl2_41
| ~ spl2_193
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f7288,f723,f5933,f745]) ).
thf(f7299,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_11
| ~ spl2_138 ),
inference(constrained_superposition,[],[f6662,f4372]) ).
thf(f7301,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_11
| ~ spl2_135 ),
inference(constrained_superposition,[],[f6662,f4362]) ).
thf(f7304,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_11
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f7301]) ).
thf(f7305,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f7299]) ).
thf(f7325,definition,
( spl2_208
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f7326,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f7325]) ).
thf(f7331,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_138
| ~ spl2_208 ),
inference(constrained_superposition,[],[f7326,f4372]) ).
thf(f7334,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f7331]) ).
thf(f7365,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f7224,f84]) ).
thf(f7366,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_138
| ~ spl2_181 ),
inference(constrained_superposition,[],[f7224,f5725]) ).
thf(f7373,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f7365]) ).
thf(f7374,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f7366]) ).
thf(f7376,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_135
| ~ spl2_138
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f7374,f4362]) ).
thf(f7377,plain,
( spl2_147
| ~ spl2_135
| ~ spl2_138
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f7376,f5724,f4371,f4361,f4702]) ).
thf(f7381,plain,
( ~ spl2_155
| spl2_157
| ~ spl2_133
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f7275,f4393,f4354,f4972,f4966]) ).
thf(f7384,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_180 ),
inference(avatar_component_clause,[],[f5694]) ).
thf(f7385,plain,
( ~ spl2_180
| ~ spl2_155
| ~ spl2_138
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f7334,f7325,f4371,f4966,f5694]) ).
thf(f7425,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_87
| ~ spl2_149 ),
inference(constrained_superposition,[],[f1432,f4720]) ).
thf(f7428,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_89
| ~ spl2_149 ),
inference(constrained_superposition,[],[f7190,f4720]) ).
thf(f7431,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7425]) ).
thf(f7439,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_89
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f7428]) ).
thf(f7443,plain,
( spl2_143
| spl2_87
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f7431,f4719,f1431,f4468]) ).
thf(f7444,plain,
( $false
| spl2_89
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f7439,f47]) ).
thf(f7445,plain,
( spl2_89
| ~ spl2_149 ),
inference(avatar_contradiction_clause,[],[f7444]) ).
thf(f7595,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f218,f49]) ).
thf(f7597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f7595]) ).
thf(f7598,plain,
( spl2_120
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f7597,f217,f3020]) ).
thf(f7712,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_50
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f808]) ).
thf(f7725,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_50
| spl2_180 ),
inference(trivial_inequality_removal,[],[f7712]) ).
thf(f7736,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_50
| spl2_171
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f7725,f5307]) ).
thf(f7737,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| spl2_171
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f7736,f47]) ).
thf(f7738,plain,
( spl2_163
| ~ spl2_50
| spl2_171
| spl2_180 ),
inference(avatar_split_clause,[],[f7737,f5694,f5198,f807,f5103]) ).
thf(f7739,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_157
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4973,f5199]) ).
thf(f7743,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f29,f5199]) ).
thf(f7746,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f7743]) ).
thf(f7747,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_157
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f7739]) ).
thf(f7750,plain,
( $false
| ~ spl2_9
| ~ spl2_157
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f7747,f118]) ).
thf(f7751,plain,
( ~ spl2_9
| ~ spl2_157
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f7750]) ).
thf(f7796,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4703,f6221]) ).
thf(f7797,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4703,f84]) ).
thf(f7798,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_133
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4703,f4355]) ).
thf(f7802,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f7797]) ).
thf(f7803,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f7798]) ).
thf(f7805,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f7796]) ).
thf(f7806,plain,
( ~ spl2_180
| ~ spl2_133
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7803,f4702,f4354,f5694]) ).
thf(f7823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f7746,f84]) ).
thf(f7829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f7823]) ).
thf(f7849,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_51
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f812]) ).
thf(f7871,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_51
| spl2_180 ),
inference(trivial_inequality_removal,[],[f7849]) ).
thf(f7872,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_51
| spl2_161
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f7871,f5787]) ).
thf(f7873,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_51
| spl2_161
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f7872,f47]) ).
thf(f7874,plain,
( spl2_163
| ~ spl2_51
| spl2_161
| spl2_180 ),
inference(avatar_split_clause,[],[f7873,f5694,f4996,f811,f5103]) ).
thf(f7879,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_54 ),
inference(constrained_superposition,[],[f6662,f1345]) ).
thf(f7880,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f29,f1345]) ).
thf(f7881,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f7880]) ).
thf(f7884,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_11
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f7879]) ).
thf(f7885,plain,
( spl2_129
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f7881,f846,f4319]) ).
thf(f7886,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| spl2_52 ),
inference(constrained_superposition,[],[f1205,f614]) ).
thf(f7889,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_52 ),
inference(trivial_inequality_removal,[],[f7886]) ).
thf(f7891,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_47
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f7889,f4303]) ).
thf(f7893,plain,
( spl2_46
| spl2_47
| spl2_52 ),
inference(avatar_split_clause,[],[f7891,f826,f789,f786]) ).
thf(f7937,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_166
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f5115]) ).
thf(f7951,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_161
| ~ spl2_166 ),
inference(constrained_superposition,[],[f5787,f5115]) ).
thf(f7964,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_166
| spl2_180 ),
inference(trivial_inequality_removal,[],[f7937]) ).
thf(f7966,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_161
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7951]) ).
thf(f7977,plain,
( spl2_163
| ~ spl2_166
| spl2_180 ),
inference(avatar_split_clause,[],[f7964,f5694,f5114,f5103]) ).
thf(f7978,plain,
( $false
| spl2_161
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f7966,f47]) ).
thf(f7979,plain,
( spl2_161
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f7978]) ).
thf(f7985,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f7127,f48]) ).
thf(f7986,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f7127,f50]) ).
thf(f7989,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7986]) ).
thf(f7991,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7985]) ).
thf(f7997,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f7125,f85]) ).
thf(f7998,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f7125,f28]) ).
thf(f8000,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7998]) ).
thf(f8001,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f7997]) ).
thf(f8040,plain,
( ~ spl2_56
| ~ spl2_139
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7805,f4702,f4393,f893]) ).
thf(f8041,plain,
( ~ spl2_56
| spl2_156
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7802,f4702,f4969,f893]) ).
thf(f8051,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_56 ),
inference(constrained_superposition,[],[f894,f614]) ).
thf(f8056,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_56 ),
inference(trivial_inequality_removal,[],[f8051]) ).
thf(f8058,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_47
| spl2_56 ),
inference(forward_subsumption_resolution,[],[f8056,f4303]) ).
thf(f8060,plain,
( spl2_197
| spl2_47
| spl2_56 ),
inference(avatar_split_clause,[],[f8058,f893,f789,f6120]) ).
thf(f8062,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_86
| ~ spl2_87 ),
inference(constrained_superposition,[],[f1352,f4598]) ).
thf(f8067,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_86
| ~ spl2_87 ),
inference(trivial_inequality_removal,[],[f8062]) ).
thf(f8073,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_86
| ~ spl2_87
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f8067,f7190]) ).
thf(f8075,plain,
( spl2_146
| ~ spl2_86
| ~ spl2_87
| spl2_89 ),
inference(avatar_split_clause,[],[f8073,f1438,f1431,f1351,f4596]) ).
thf(f8103,definition,
( spl2_218
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).
thf(f8104,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_218 ),
inference(avatar_component_clause,[],[f8103]) ).
thf(f8111,definition,
( spl2_219
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f8112,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_219 ),
inference(avatar_component_clause,[],[f8111]) ).
thf(f8116,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f7829,f118]) ).
thf(f8121,plain,
( spl2_17
| spl2_169
| ~ spl2_9
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f8116,f5198,f117,f5147,f203]) ).
thf(f8148,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_218 ),
inference(constrained_superposition,[],[f8104,f49]) ).
thf(f8151,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_218 ),
inference(trivial_inequality_removal,[],[f8148]) ).
thf(f8153,plain,
( spl2_161
| spl2_218 ),
inference(avatar_split_clause,[],[f8151,f8103,f4996]) ).
thf(f8169,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_87 ),
inference(constrained_superposition,[],[f204,f4598]) ).
thf(f8175,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_87 ),
inference(trivial_inequality_removal,[],[f8169]) ).
thf(f8204,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f29,f5733]) ).
thf(f8206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8204]) ).
thf(f8224,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_133
| ~ spl2_135 ),
inference(constrained_superposition,[],[f7204,f4355]) ).
thf(f8227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f29,f4355]) ).
thf(f8229,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f8227]) ).
thf(f8230,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_133
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f8224]) ).
thf(f8233,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f5439,f28]) ).
thf(f8236,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f5439,f82]) ).
thf(f8243,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f8233]) ).
thf(f8244,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f8236]) ).
thf(f8250,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_169 ),
inference(constrained_superposition,[],[f5108,f5148]) ).
thf(f8253,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f8250]) ).
thf(f8257,plain,
( $false
| ~ spl2_156
| ~ spl2_164
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f8253,f4970]) ).
thf(f8258,plain,
( ~ spl2_156
| ~ spl2_164
| ~ spl2_169 ),
inference(avatar_contradiction_clause,[],[f8257]) ).
thf(f8325,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_183 ),
inference(constrained_superposition,[],[f8206,f4355]) ).
thf(f8329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8325]) ).
thf(f8337,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_181 ),
inference(avatar_component_clause,[],[f5724]) ).
thf(f8338,plain,
( ~ spl2_181
| spl2_186
| ~ spl2_133
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f8329,f5732,f4354,f5784,f5724]) ).
thf(f8349,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_133 ),
inference(constrained_superposition,[],[f1435,f4355]) ).
thf(f8356,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_88
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f8349]) ).
thf(f8367,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_180
| ~ spl2_197 ),
inference(constrained_superposition,[],[f7384,f6121]) ).
thf(f8388,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_180
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f8367]) ).
thf(f8393,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_155 ),
inference(avatar_component_clause,[],[f4966]) ).
thf(f8394,plain,
( spl2_155
| spl2_163
| spl2_159
| spl2_180
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f8388,f6120,f5694,f4988,f5103,f4966]) ).
thf(f8397,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_155 ),
inference(constrained_superposition,[],[f7224,f8393]) ).
thf(f8402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155 ),
inference(constrained_superposition,[],[f29,f8393]) ).
thf(f8404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f8402]) ).
thf(f8410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f8397]) ).
thf(f8413,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_155 ),
inference(constrained_superposition,[],[f8404,f4372]) ).
thf(f8423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f8413]) ).
thf(f8476,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_46
| spl2_181 ),
inference(constrained_superposition,[],[f8337,f787]) ).
thf(f8483,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_46
| ~ spl2_135 ),
inference(constrained_superposition,[],[f7204,f787]) ).
thf(f8493,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_46
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f8483]) ).
thf(f8496,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_46
| spl2_181 ),
inference(trivial_inequality_removal,[],[f8476]) ).
thf(f8503,plain,
( spl2_168
| spl2_163
| spl2_159
| ~ spl2_46
| spl2_181 ),
inference(avatar_split_clause,[],[f8496,f5724,f786,f4988,f5103,f5123]) ).
thf(f8504,plain,
( ~ spl2_89
| ~ spl2_53
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f7206,f4361,f843,f1438]) ).
thf(f8506,plain,
( ~ spl2_89
| ~ spl2_17
| ~ spl2_87 ),
inference(avatar_split_clause,[],[f8175,f1431,f203,f1438]) ).
thf(f8507,plain,
( ~ spl2_168
| ~ spl2_88
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f8356,f4354,f1434,f5123]) ).
thf(f8516,plain,
( ~ spl2_87
| spl2_88
| ~ spl2_138
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f8410,f4966,f4371,f1434,f1431]) ).
thf(f8517,plain,
( spl2_169
| ~ spl2_87
| spl2_88
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f7373,f4371,f1434,f1431,f5147]) ).
thf(f8556,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_89 ),
inference(constrained_superposition,[],[f7190,f614]) ).
thf(f8559,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| spl2_89 ),
inference(trivial_inequality_removal,[],[f8556]) ).
thf(f8562,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f8559,f47]) ).
thf(f8571,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| spl2_171 ),
inference(constrained_superposition,[],[f5307,f614]) ).
thf(f8574,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1 = X0 ) )
| spl2_171 ),
inference(trivial_inequality_removal,[],[f8571]) ).
thf(f8576,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f8574,f47]) ).
thf(f8580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_133
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8229,f5124]) ).
thf(f8582,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f29,f5124]) ).
thf(f8585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8580]) ).
thf(f8586,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8582]) ).
thf(f8590,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f62,f50]) ).
thf(f8601,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f8590]) ).
thf(f8622,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f5310,f84]) ).
thf(f8629,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f8622]) ).
thf(f8633,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_11
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f8629,f125]) ).
thf(f8636,plain,
( spl2_169
| ~ spl2_11
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f8633,f5309,f124,f5147]) ).
thf(f8638,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_33
| spl2_153 ),
inference(constrained_superposition,[],[f4867,f632]) ).
thf(f8639,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_33
| spl2_171 ),
inference(constrained_superposition,[],[f5307,f632]) ).
thf(f8645,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_33
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4703,f632]) ).
thf(f8654,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_33
| spl2_153 ),
inference(trivial_inequality_removal,[],[f8638]) ).
thf(f8656,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_33
| spl2_171 ),
inference(trivial_inequality_removal,[],[f8639]) ).
thf(f8657,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_33
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f8645]) ).
thf(f8668,plain,
( $false
| ~ spl2_33
| spl2_153 ),
inference(forward_subsumption_resolution,[],[f8654,f47]) ).
thf(f8669,plain,
( ~ spl2_33
| spl2_153 ),
inference(avatar_contradiction_clause,[],[f8668]) ).
thf(f8670,plain,
( $false
| ~ spl2_33
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f8656,f47]) ).
thf(f8671,plain,
( ~ spl2_33
| spl2_171 ),
inference(avatar_contradiction_clause,[],[f8670]) ).
thf(f8672,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_33
| ~ spl2_54
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f8657,f1345]) ).
thf(f8674,plain,
( $false
| ~ spl2_33
| ~ spl2_54
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f8672,f47]) ).
thf(f8675,plain,
( ~ spl2_33
| ~ spl2_54
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f8674]) ).
thf(f8688,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_80
| ~ spl2_135 ),
inference(constrained_superposition,[],[f7204,f1227]) ).
thf(f8694,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_80
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f8688]) ).
thf(f8704,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_82
| ~ spl2_129 ),
inference(constrained_superposition,[],[f4320,f1247]) ).
thf(f8718,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_82
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f8704]) ).
thf(f8724,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_82
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f8718,f152]) ).
thf(f9096,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_148
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8586,f4717]) ).
thf(f9103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_148
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f9096]) ).
thf(f9315,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f7126,f85]) ).
thf(f9319,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f9315]) ).
thf(f9496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_45
| ~ spl2_82
| ~ spl2_129 ),
inference(constrained_superposition,[],[f8724,f761]) ).
thf(f9497,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_82
| ~ spl2_129 ),
inference(constrained_superposition,[],[f8724,f125]) ).
thf(f9503,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_45
| ~ spl2_82
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f9496]) ).
thf(f9507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_82
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f9497]) ).
thf(f9569,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(constrained_superposition,[],[f9503,f1227]) ).
thf(f9579,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(duplicate_literal_removal,[],[f9569]) ).
thf(f9580,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_9
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f9579]) ).
thf(f9596,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f9580,f9507]) ).
thf(f9602,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X2 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X2 )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X2 @ sK1 )
= $true ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(constrained_superposition,[],[f9596,f479]) ).
thf(f9605,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X2 @ sK1 )
= $true )
| ( sK1 = X2 )
| ( X0 = X2 ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f9602]) ).
thf(f9608,definition,
( spl2_243
<=> ! [X2: $i,X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X2 )
| ( sK1 = X2 )
| ( ( b @ X2 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f9609,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 )
| ( sK1 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X2 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f9608]) ).
thf(f9610,plain,
( spl2_33
| spl2_243
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f9605,f4319,f1246,f1226,f760,f124,f117,f9608,f631]) ).
thf(f9779,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f8243,f28]) ).
thf(f9783,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f9779]) ).
thf(f9787,plain,
( spl2_145
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f9783,f5438,f4476]) ).
thf(f9794,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f8601,f49]) ).
thf(f9796,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f9794]) ).
thf(f9799,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_41
| spl2_181 ),
inference(constrained_superposition,[],[f8337,f746]) ).
thf(f9814,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_41
| spl2_181 ),
inference(trivial_inequality_removal,[],[f9799]) ).
thf(f9823,plain,
( $false
| ~ spl2_41
| spl2_171
| spl2_181 ),
inference(forward_subsumption_resolution,[],[f9814,f5307]) ).
thf(f9824,plain,
( ~ spl2_41
| spl2_171
| spl2_181 ),
inference(avatar_contradiction_clause,[],[f9823]) ).
thf(f9849,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_183 ),
inference(constrained_superposition,[],[f8206,f9796]) ).
thf(f9852,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_155 ),
inference(constrained_superposition,[],[f8404,f9796]) ).
thf(f9885,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_2
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f9852]) ).
thf(f9897,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f9849]) ).
thf(f9904,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f9885,f6247]) ).
thf(f9909,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_45
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f9897,f1256]) ).
thf(f9910,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_155
| spl2_171 ),
inference(forward_subsumption_resolution,[],[f9904,f5307]) ).
thf(f10188,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f3122,f49]) ).
thf(f10195,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124 ),
inference(duplicate_literal_removal,[],[f10188]) ).
thf(f10196,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f10195]) ).
thf(f10197,plain,
( spl2_49
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f10196,f3121,f803]) ).
thf(f10198,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_49
| spl2_161 ),
inference(constrained_superposition,[],[f5787,f804]) ).
thf(f10199,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_49
| spl2_89 ),
inference(constrained_superposition,[],[f7190,f804]) ).
thf(f10215,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_49
| spl2_161 ),
inference(trivial_inequality_removal,[],[f10198]) ).
thf(f10220,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_49
| spl2_89 ),
inference(trivial_inequality_removal,[],[f10199]) ).
thf(f10226,plain,
( spl2_163
| ~ spl2_49
| spl2_161 ),
inference(avatar_split_clause,[],[f10215,f4996,f803,f5103]) ).
thf(f10227,plain,
( spl2_146
| ~ spl2_49
| spl2_89 ),
inference(avatar_split_clause,[],[f10220,f1438,f803,f4596]) ).
thf(f10278,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_129
| ~ spl2_152 ),
inference(constrained_superposition,[],[f4320,f4841]) ).
thf(f10288,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_129
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f10278]) ).
thf(f10855,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_45
| ~ spl2_144 ),
inference(constrained_superposition,[],[f1256,f4472]) ).
thf(f10870,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_45
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f10855]) ).
thf(f10948,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_45
| ~ spl2_145 ),
inference(constrained_superposition,[],[f1256,f4477]) ).
thf(f10955,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f10948]) ).
thf(f11260,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f8244,f85]) ).
thf(f11265,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f11260]) ).
thf(f11267,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_176 ),
inference(constrained_superposition,[],[f4703,f11265]) ).
thf(f11278,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f11267]) ).
thf(f11376,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1231,f451]) ).
thf(f11377,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f111,f451]) ).
thf(f11384,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f23,f451]) ).
thf(f11389,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f11377]) ).
thf(f11390,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f11384]) ).
thf(f11392,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f11376]) ).
thf(f11400,definition,
( spl2_274
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f11401,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f11400]) ).
thf(f11403,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f11401,f85]) ).
thf(f11407,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11403]) ).
thf(f11410,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f11390,f451]) ).
thf(f11421,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(duplicate_literal_removal,[],[f11410]) ).
thf(f11422,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f11421]) ).
thf(f11436,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274 ),
inference(constrained_superposition,[],[f11278,f11407]) ).
thf(f11441,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_274 ),
inference(constrained_superposition,[],[f4320,f11407]) ).
thf(f11453,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f29,f11407]) ).
thf(f11455,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11453]) ).
thf(f11458,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274 ),
inference(duplicate_literal_removal,[],[f11436]) ).
thf(f11459,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11458]) ).
thf(f11471,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_129
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11441]) ).
thf(f11478,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_129
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f11471,f152]) ).
thf(f11630,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274 ),
inference(constrained_superposition,[],[f29,f11459]) ).
thf(f11632,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11630]) ).
thf(f12691,definition,
( spl2_293
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f12692,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f12691]) ).
thf(f12708,definition,
( spl2_296
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).
thf(f12709,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f12708]) ).
thf(f12743,definition,
( spl2_303
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f12744,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_303 ),
inference(avatar_component_clause,[],[f12743]) ).
thf(f12759,definition,
( spl2_306
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f12760,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f12759]) ).
thf(f12775,definition,
( spl2_308
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f12776,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f12775]) ).
thf(f12811,definition,
( spl2_313
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).
thf(f12812,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f12811]) ).
thf(f12985,definition,
( spl2_316
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f12986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f12985]) ).
thf(f12989,definition,
( spl2_317
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).
thf(f12990,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f12989]) ).
thf(f13452,definition,
( spl2_321
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f13453,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f13452]) ).
thf(f13482,definition,
( spl2_325
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f13483,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f13482]) ).
thf(f13493,definition,
( spl2_327
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_327])],[avatar_definition]) ).
thf(f13494,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f13493]) ).
thf(f13530,definition,
( spl2_331
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_331])],[avatar_definition]) ).
thf(f13531,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_331 ),
inference(avatar_component_clause,[],[f13530]) ).
thf(f13557,definition,
( spl2_333
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_333])],[avatar_definition]) ).
thf(f13558,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_333 ),
inference(avatar_component_clause,[],[f13557]) ).
thf(f13657,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f29,f12692]) ).
thf(f13658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f13657]) ).
thf(f13662,plain,
( spl2_308
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f13658,f12691,f12775]) ).
thf(f13695,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_296 ),
inference(constrained_superposition,[],[f4703,f12709]) ).
thf(f13697,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_183
| ~ spl2_296 ),
inference(constrained_superposition,[],[f8206,f12709]) ).
thf(f13705,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f13695]) ).
thf(f13707,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_183
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f13697]) ).
thf(f13712,definition,
( spl2_337
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_337])],[avatar_definition]) ).
thf(f13713,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_337 ),
inference(avatar_component_clause,[],[f13712]) ).
thf(f13715,definition,
( spl2_338
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_338])],[avatar_definition]) ).
thf(f13716,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_338 ),
inference(avatar_component_clause,[],[f13715]) ).
thf(f13717,plain,
( spl2_337
| ~ spl2_338
| ~ spl2_183
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f13707,f12708,f5732,f13715,f13712]) ).
thf(f13729,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_147
| ~ spl2_197
| ~ spl2_296 ),
inference(constrained_superposition,[],[f13705,f6121]) ).
thf(f13755,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_147
| ~ spl2_197
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f13729]) ).
thf(f13768,definition,
( spl2_342
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f13769,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f13768]) ).
thf(f13771,definition,
( spl2_343
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_343])],[avatar_definition]) ).
thf(f13772,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_343 ),
inference(avatar_component_clause,[],[f13771]) ).
thf(f13773,plain,
( spl2_306
| spl2_342
| spl2_343
| ~ spl2_147
| ~ spl2_197
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f13755,f12708,f6120,f4702,f13771,f13768,f12759]) ).
thf(f13798,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f84,f13772]) ).
thf(f13829,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_274
| ~ spl2_343 ),
inference(constrained_superposition,[],[f11401,f13772]) ).
thf(f13831,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f11422,f13772]) ).
thf(f13918,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_343 ),
inference(duplicate_literal_removal,[],[f13831]) ).
thf(f13930,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_20
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f13798,f268]) ).
thf(f13992,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_72
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f13918,f1084]) ).
thf(f13999,definition,
( spl2_345
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
thf(f14000,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f13999]) ).
thf(f14004,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_72
| ~ spl2_274
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f13829,f1084]) ).
thf(f14017,plain,
( $false
| spl2_6
| spl2_20
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f13930,f102]) ).
thf(f14018,plain,
( spl2_6
| spl2_20
| ~ spl2_343 ),
inference(avatar_contradiction_clause,[],[f14017]) ).
thf(f14071,plain,
( spl2_151
| spl2_72
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f13992,f13771,f1083,f4812]) ).
thf(f14078,plain,
( ~ spl2_38
| spl2_72
| ~ spl2_274
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f14004,f13771,f11400,f1083,f734]) ).
thf(f14139,definition,
( spl2_346
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).
thf(f14140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_346 ),
inference(avatar_component_clause,[],[f14139]) ).
thf(f14144,definition,
( spl2_347
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f14145,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f14144]) ).
thf(f14147,definition,
( spl2_348
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).
thf(f14148,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_348 ),
inference(avatar_component_clause,[],[f14147]) ).
thf(f14270,definition,
( spl2_352
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
thf(f14271,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f14270]) ).
thf(f14295,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_168
| ~ spl2_317 ),
inference(constrained_superposition,[],[f5124,f12990]) ).
thf(f14300,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_180
| ~ spl2_317 ),
inference(constrained_superposition,[],[f7384,f12990]) ).
thf(f14305,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_155
| ~ spl2_317 ),
inference(constrained_superposition,[],[f8393,f12990]) ).
thf(f14485,plain,
( $false
| spl2_139
| ~ spl2_155
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f14305,f4394]) ).
thf(f14486,plain,
( spl2_139
| ~ spl2_155
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f14485]) ).
thf(f14507,plain,
( $false
| ~ spl2_135
| spl2_180
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f14300,f4362]) ).
thf(f14508,plain,
( ~ spl2_135
| spl2_180
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f14507]) ).
thf(f14519,plain,
( $false
| spl2_87
| ~ spl2_168
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f14295,f1432]) ).
thf(f14520,plain,
( spl2_87
| ~ spl2_168
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f14519]) ).
thf(f14568,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11390,f12760]) ).
thf(f14569,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_274
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11401,f12760]) ).
thf(f14570,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_274
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11407,f12760]) ).
thf(f14571,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11422,f12760]) ).
thf(f14645,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| ~ spl2_306 ),
inference(constrained_superposition,[],[f8000,f12760]) ).
thf(f14705,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_306 ),
inference(duplicate_literal_removal,[],[f14568]) ).
thf(f14710,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(duplicate_literal_removal,[],[f14571]) ).
thf(f14714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_52
| ~ spl2_274
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14570,f1205]) ).
thf(f14719,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_72
| ~ spl2_274
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14569,f1084]) ).
thf(f14742,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_72
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14705,f1084]) ).
thf(f14753,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_72
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14710,f1084]) ).
thf(f14755,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_52
| ~ spl2_81
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14645,f1205]) ).
thf(f14771,plain,
( $false
| spl2_52
| spl2_72
| ~ spl2_274
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14714,f1084]) ).
thf(f14772,plain,
( spl2_52
| spl2_72
| ~ spl2_274
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f14771]) ).
thf(f14775,plain,
( ~ spl2_38
| spl2_72
| ~ spl2_274
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14719,f12759,f11400,f1083,f734]) ).
thf(f14793,plain,
( spl2_36
| spl2_151
| spl2_72
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14742,f12759,f1083,f4812,f726]) ).
thf(f14804,plain,
( spl2_151
| spl2_72
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14753,f12759,f1083,f4812]) ).
thf(f14806,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_47
| spl2_52
| ~ spl2_81
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14755,f4303]) ).
thf(f14835,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_47
| spl2_52
| spl2_72
| ~ spl2_81
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f14806,f1084]) ).
thf(f14842,plain,
( spl2_159
| spl2_47
| spl2_52
| spl2_72
| ~ spl2_81
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f14835,f12759,f1230,f1083,f826,f789,f4988]) ).
thf(f15012,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_175
| ~ spl2_337 ),
inference(constrained_superposition,[],[f13713,f5435]) ).
thf(f15014,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_89
| ~ spl2_337 ),
inference(constrained_superposition,[],[f13713,f8562]) ).
thf(f15025,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_89
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f15014]) ).
thf(f15034,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f15012]) ).
thf(f15041,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_89
| ~ spl2_135
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f15025,f4362]) ).
thf(f15043,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_135
| ~ spl2_175
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f15034,f4362]) ).
thf(f15051,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_89
| ~ spl2_135
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f15041,f47]) ).
thf(f15056,plain,
( spl2_343
| spl2_342
| spl2_313
| ~ spl2_135
| ~ spl2_175
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f15043,f13712,f5434,f4361,f12811,f13768,f13771]) ).
thf(f15060,definition,
( spl2_360
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_360])],[avatar_definition]) ).
thf(f15061,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_360 ),
inference(avatar_component_clause,[],[f15060]) ).
thf(f15062,plain,
( spl2_360
| spl2_313
| spl2_89
| ~ spl2_135
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f15051,f13712,f4361,f1438,f12811,f15060]) ).
thf(f15198,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_346
| ~ spl2_360 ),
inference(constrained_superposition,[],[f14140,f15061]) ).
thf(f15199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f29,f15061]) ).
thf(f15202,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_346
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f15198]) ).
thf(f15203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f15199]) ).
thf(f15204,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_346
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f15202,f125]) ).
thf(f15205,plain,
( $false
| ~ spl2_9
| ~ spl2_11
| ~ spl2_346
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f15204,f118]) ).
thf(f15206,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_346
| ~ spl2_360 ),
inference(avatar_contradiction_clause,[],[f15205]) ).
thf(f15208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_129
| ~ spl2_274
| ~ spl2_352 ),
inference(constrained_superposition,[],[f11478,f14271]) ).
thf(f15219,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129
| ~ spl2_352 ),
inference(constrained_superposition,[],[f9596,f14271]) ).
thf(f15227,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f15219]) ).
thf(f15236,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_129
| ~ spl2_274
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f15208]) ).
thf(f15241,plain,
( spl2_306
| spl2_343
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f15227,f14270,f4319,f1246,f1226,f760,f124,f117,f13771,f12759]) ).
thf(f15244,definition,
( spl2_367
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f15245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f15244]) ).
thf(f15255,plain,
( spl2_367
| ~ spl2_9
| ~ spl2_129
| ~ spl2_274
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f15236,f14270,f11400,f4319,f117,f15244]) ).
thf(f15260,definition,
( spl2_369
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).
thf(f15261,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_369 ),
inference(avatar_component_clause,[],[f15260]) ).
thf(f15280,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_293
| ~ spl2_360 ),
inference(constrained_superposition,[],[f15203,f12692]) ).
thf(f15297,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_197
| ~ spl2_360 ),
inference(constrained_superposition,[],[f15203,f6121]) ).
thf(f15312,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_293
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f15280]) ).
thf(f15326,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_197
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f15297]) ).
thf(f15350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_293
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f15312,f125]) ).
thf(f15360,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_45
| ~ spl2_197
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f15326,f761]) ).
thf(f15374,plain,
( spl2_348
| ~ spl2_11
| ~ spl2_293
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f15350,f15060,f12691,f124,f14147]) ).
thf(f15384,plain,
( spl2_337
| spl2_342
| spl2_306
| spl2_343
| ~ spl2_45
| ~ spl2_197
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f15360,f15060,f6120,f760,f13771,f12759,f13768,f13712]) ).
thf(f15438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| spl2_171
| ~ spl2_308 ),
inference(constrained_superposition,[],[f12776,f8576]) ).
thf(f15439,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true ) )
| ~ spl2_174
| ~ spl2_308 ),
inference(constrained_superposition,[],[f12776,f5400]) ).
thf(f15462,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_171
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f15438]) ).
thf(f15471,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f15439]) ).
thf(f15490,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_171
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f15462,f47]) ).
thf(f15495,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_168
| ~ spl2_174
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f15471,f5124]) ).
thf(f15498,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_168
| spl2_171
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f15490,f5124]) ).
thf(f15499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_168
| ~ spl2_174
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f15495,f47]) ).
thf(f15506,definition,
( spl2_376
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_376])],[avatar_definition]) ).
thf(f15507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_376 ),
inference(avatar_component_clause,[],[f15506]) ).
thf(f15508,plain,
( spl2_376
| spl2_352
| spl2_347
| ~ spl2_168
| spl2_171
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f15498,f12775,f5198,f5123,f14144,f14270,f15506]) ).
thf(f15509,plain,
( spl2_376
| spl2_347
| spl2_360
| ~ spl2_168
| ~ spl2_174
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f15499,f12775,f5399,f5123,f15060,f14144,f15506]) ).
thf(f15891,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_146 ),
inference(avatar_component_clause,[],[f4596]) ).
thf(f15972,definition,
( spl2_385
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_385])],[avatar_definition]) ).
thf(f15973,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_385 ),
inference(avatar_component_clause,[],[f15972]) ).
thf(f15975,definition,
( spl2_386
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).
thf(f15976,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_386 ),
inference(avatar_component_clause,[],[f15975]) ).
thf(f15979,definition,
( spl2_387
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_387])],[avatar_definition]) ).
thf(f15980,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_387 ),
inference(avatar_component_clause,[],[f15979]) ).
thf(f15982,definition,
( spl2_388
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_388])],[avatar_definition]) ).
thf(f15983,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_388 ),
inference(avatar_component_clause,[],[f15982]) ).
thf(f15985,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_385 ),
inference(constrained_superposition,[],[f11422,f15973]) ).
thf(f15986,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_35
| ~ spl2_385 ),
inference(constrained_superposition,[],[f724,f15973]) ).
thf(f15987,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_385 ),
inference(constrained_superposition,[],[f111,f15973]) ).
thf(f15989,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_385 ),
inference(constrained_superposition,[],[f77,f15973]) ).
thf(f15991,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_385 ),
inference(constrained_superposition,[],[f186,f15973]) ).
thf(f15996,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_35
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f15986]) ).
thf(f15997,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f15985]) ).
thf(f16002,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f15987]) ).
thf(f16004,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f15991]) ).
thf(f16005,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f15989]) ).
thf(f16007,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_338 ),
inference(avatar_component_clause,[],[f13715]) ).
thf(f16008,plain,
( spl2_338
| ~ spl2_219
| ~ spl2_35
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f15996,f15972,f723,f8111,f13715]) ).
thf(f16010,definition,
( spl2_389
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_389])],[avatar_definition]) ).
thf(f16011,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_389 ),
inference(avatar_component_clause,[],[f16010]) ).
thf(f16012,plain,
( ~ spl2_219
| spl2_389
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f15997,f15972,f16010,f8111]) ).
thf(f16015,definition,
( spl2_390
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_390])],[avatar_definition]) ).
thf(f16016,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_390 ),
inference(avatar_component_clause,[],[f16015]) ).
thf(f16017,plain,
( spl2_293
| ~ spl2_179
| spl2_390
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f16002,f15972,f16015,f5672,f12691]) ).
thf(f16022,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_161
| ~ spl2_385 ),
inference(forward_subsumption_resolution,[],[f16004,f5787]) ).
thf(f16023,plain,
( spl2_360
| spl2_390
| ~ spl2_218
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f16005,f15972,f8103,f16015,f15060]) ).
thf(f16025,definition,
( spl2_392
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_392])],[avatar_definition]) ).
thf(f16026,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_392 ),
inference(avatar_component_clause,[],[f16025]) ).
thf(f16028,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| spl2_161
| ~ spl2_385 ),
inference(forward_subsumption_resolution,[],[f16022,f47]) ).
thf(f16029,plain,
( spl2_360
| spl2_390
| spl2_161
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f16028,f15972,f4996,f16015,f15060]) ).
thf(f16032,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_338 ),
inference(constrained_superposition,[],[f11632,f16007]) ).
thf(f16048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f16032]) ).
thf(f16053,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_360 ),
inference(avatar_component_clause,[],[f15060]) ).
thf(f16056,definition,
( spl2_393
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f16057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f16056]) ).
thf(f16061,definition,
( spl2_394
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_394])],[avatar_definition]) ).
thf(f16062,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_394 ),
inference(avatar_component_clause,[],[f16061]) ).
thf(f16064,plain,
( spl2_394
| spl2_143
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f16048,f13715,f11400,f5438,f4702,f4468,f16061]) ).
thf(f16079,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_80
| spl2_338 ),
inference(constrained_superposition,[],[f13716,f1227]) ).
thf(f16080,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_46
| spl2_338 ),
inference(constrained_superposition,[],[f13716,f787]) ).
thf(f16086,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_80
| spl2_338 ),
inference(trivial_inequality_removal,[],[f16079]) ).
thf(f16091,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_46
| spl2_338 ),
inference(trivial_inequality_removal,[],[f16080]) ).
thf(f16096,plain,
( spl2_342
| spl2_343
| spl2_306
| ~ spl2_80
| spl2_338 ),
inference(avatar_split_clause,[],[f16086,f13715,f1226,f12759,f13771,f13768]) ).
thf(f16097,plain,
( spl2_306
| spl2_293
| spl2_343
| ~ spl2_46
| spl2_338 ),
inference(avatar_split_clause,[],[f16091,f13715,f786,f13771,f12691,f12759]) ).
thf(f16106,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_342 ),
inference(constrained_superposition,[],[f11632,f13769]) ).
thf(f16123,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f16106]) ).
thf(f16129,plain,
( spl2_143
| spl2_346
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f16123,f13768,f11400,f5438,f4702,f14139,f4468]) ).
thf(f16192,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f41,f14145]) ).
thf(f16293,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_347 ),
inference(equality_resolution,[],[f16192]) ).
thf(f16295,definition,
( spl2_396
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_396])],[avatar_definition]) ).
thf(f16296,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_396 ),
inference(avatar_component_clause,[],[f16295]) ).
thf(f16305,plain,
( spl2_317
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f16293,f14144,f12989]) ).
thf(f16423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_155
| spl2_171
| ~ spl2_342 ),
inference(constrained_superposition,[],[f9910,f13769]) ).
thf(f16434,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_155
| spl2_171
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f16423]) ).
thf(f16438,plain,
( spl2_317
| spl2_348
| ~ spl2_2
| ~ spl2_11
| ~ spl2_155
| spl2_171
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f16434,f13768,f5198,f4966,f124,f61,f14147,f12989]) ).
thf(f16585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_386 ),
inference(constrained_superposition,[],[f93,f15976]) ).
thf(f16587,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_168
| ~ spl2_386 ),
inference(constrained_superposition,[],[f8586,f15976]) ).
thf(f16589,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_133
| ~ spl2_135
| ~ spl2_386 ),
inference(constrained_superposition,[],[f8230,f15976]) ).
thf(f16593,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f16585]) ).
thf(f16594,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_135
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f16589]) ).
thf(f16596,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f16587]) ).
thf(f16599,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_389 ),
inference(avatar_component_clause,[],[f16010]) ).
thf(f16601,definition,
( spl2_404
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_404])],[avatar_definition]) ).
thf(f16602,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_404 ),
inference(avatar_component_clause,[],[f16601]) ).
thf(f16603,plain,
( ~ spl2_389
| ~ spl2_404
| ~ spl2_133
| ~ spl2_135
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f16594,f15975,f4361,f4354,f16601,f16010]) ).
thf(f16640,definition,
( spl2_406
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).
thf(f16641,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_406 ),
inference(avatar_component_clause,[],[f16640]) ).
thf(f16658,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_89
| spl2_404 ),
inference(constrained_superposition,[],[f16602,f8562]) ).
thf(f16660,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_243
| spl2_404 ),
inference(constrained_superposition,[],[f16602,f9609]) ).
thf(f16668,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_89
| spl2_404 ),
inference(trivial_inequality_removal,[],[f16658]) ).
thf(f16672,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_243
| spl2_404 ),
inference(trivial_inequality_removal,[],[f16660]) ).
thf(f16676,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_89
| spl2_360
| spl2_404 ),
inference(forward_subsumption_resolution,[],[f16668,f16053]) ).
thf(f16685,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_243
| spl2_404 ),
inference(forward_subsumption_resolution,[],[f16672,f47]) ).
thf(f16689,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_89
| spl2_360
| spl2_404 ),
inference(forward_subsumption_resolution,[],[f16676,f47]) ).
thf(f16690,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_89
| ~ spl2_243
| spl2_404 ),
inference(forward_subsumption_resolution,[],[f16685,f7190]) ).
thf(f16694,plain,
( spl2_313
| spl2_89
| spl2_360
| spl2_404 ),
inference(avatar_split_clause,[],[f16689,f16601,f15060,f1438,f12811]) ).
thf(f16695,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_89
| ~ spl2_243
| spl2_404 ),
inference(forward_subsumption_resolution,[],[f16690,f47]) ).
thf(f16697,plain,
( spl2_306
| spl2_313
| spl2_343
| spl2_89
| ~ spl2_243
| spl2_404 ),
inference(avatar_split_clause,[],[f16695,f16601,f9608,f1438,f13771,f12811,f12759]) ).
thf(f16700,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_81
| spl2_389 ),
inference(constrained_superposition,[],[f16599,f9319]) ).
thf(f16716,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_81
| spl2_389 ),
inference(trivial_inequality_removal,[],[f16700]) ).
thf(f16727,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_388 ),
inference(constrained_superposition,[],[f62,f15983]) ).
thf(f16730,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_388 ),
inference(constrained_superposition,[],[f186,f15983]) ).
thf(f16740,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_2
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f16727]) ).
thf(f16743,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f16730]) ).
thf(f16749,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_2
| spl2_171
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f16740,f5307]) ).
thf(f16750,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_360
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f16743,f16053]) ).
thf(f16753,plain,
( ~ spl2_396
| ~ spl2_2
| spl2_171
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f16749,f15982,f5198,f61,f16295]) ).
thf(f16754,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| spl2_360
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f16750,f47]) ).
thf(f16756,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| spl2_161
| spl2_360
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f16754,f5787]) ).
thf(f16757,plain,
( spl2_167
| spl2_161
| spl2_360
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f16756,f15982,f15060,f4996,f5120]) ).
thf(f16758,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_157
| ~ spl2_387 ),
inference(constrained_superposition,[],[f4973,f15980]) ).
thf(f16760,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_387 ),
inference(constrained_superposition,[],[f7224,f15980]) ).
thf(f16768,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_157
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f16758]) ).
thf(f16771,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f16760]) ).
thf(f16774,plain,
( $false
| ~ spl2_157
| ~ spl2_293
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f16768,f12692]) ).
thf(f16775,plain,
( ~ spl2_157
| ~ spl2_293
| ~ spl2_387 ),
inference(avatar_contradiction_clause,[],[f16774]) ).
thf(f16777,definition,
( spl2_409
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_409])],[avatar_definition]) ).
thf(f16778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_409 ),
inference(avatar_component_clause,[],[f16777]) ).
thf(f16779,plain,
( ~ spl2_404
| spl2_409
| ~ spl2_138
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f16771,f15979,f4371,f16777,f16601]) ).
thf(f16818,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_161
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8586,f4997]) ).
thf(f16823,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f16818]) ).
thf(f16828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_9
| ~ spl2_161
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f16823,f118]) ).
thf(f16829,plain,
( spl2_173
| ~ spl2_9
| ~ spl2_161
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f16828,f5123,f4996,f117,f5309]) ).
thf(f16831,definition,
( spl2_416
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_416])],[avatar_definition]) ).
thf(f16832,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_416 ),
inference(avatar_component_clause,[],[f16831]) ).
thf(f16833,plain,
( spl2_153
| spl2_416
| ~ spl2_2
| ~ spl2_45
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f9909,f5732,f760,f61,f16831,f4866]) ).
thf(f16837,definition,
( spl2_417
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_417])],[avatar_definition]) ).
thf(f16838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_417 ),
inference(avatar_component_clause,[],[f16837]) ).
thf(f16840,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_293 ),
inference(avatar_component_clause,[],[f12691]) ).
thf(f16841,plain,
( spl2_376
| ~ spl2_293
| ~ spl2_168
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f16596,f15975,f5123,f12691,f15506]) ).
thf(f16842,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_296 ),
inference(avatar_component_clause,[],[f12708]) ).
thf(f16857,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| spl2_389 ),
inference(forward_subsumption_resolution,[],[f16716,f47]) ).
thf(f16868,definition,
( spl2_422
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_422])],[avatar_definition]) ).
thf(f16869,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_422 ),
inference(avatar_component_clause,[],[f16868]) ).
thf(f16877,plain,
( spl2_293
| ~ spl2_81
| spl2_389 ),
inference(avatar_split_clause,[],[f16857,f16010,f1230,f12691]) ).
thf(f16883,plain,
( ~ spl2_139
| spl2_157
| ~ spl2_133
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f8585,f5123,f4354,f4972,f4393]) ).
thf(f16885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_80
| ~ spl2_135
| spl2_146 ),
inference(forward_subsumption_resolution,[],[f8694,f15891]) ).
thf(f16887,plain,
( ~ spl2_139
| spl2_88
| ~ spl2_138
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f8423,f4966,f4371,f1434,f4393]) ).
thf(f16896,definition,
( spl2_426
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_426])],[avatar_definition]) ).
thf(f16897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_426 ),
inference(avatar_component_clause,[],[f16896]) ).
thf(f16898,plain,
( spl2_143
| spl2_426
| spl2_139
| ~ spl2_80
| ~ spl2_135
| spl2_146 ),
inference(avatar_split_clause,[],[f16885,f4596,f4361,f1226,f4393,f16896,f4468]) ).
thf(f16905,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f10288,f41]) ).
thf(f16910,definition,
( spl2_428
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_428])],[avatar_definition]) ).
thf(f16911,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_428 ),
inference(avatar_component_clause,[],[f16910]) ).
thf(f16912,plain,
( spl2_428
| spl2_9
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f414,f349,f117,f16910]) ).
thf(f16922,plain,
( ~ spl2_97
| spl2_39
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f7290,f723,f738,f1793]) ).
thf(f16927,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_52
| ~ spl2_129
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f16905,f1205]) ).
thf(f16937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_47
| spl2_52
| ~ spl2_129
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f16927,f4303]) ).
thf(f16942,plain,
( ~ spl2_153
| spl2_154
| spl2_47
| spl2_52
| ~ spl2_129
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f16937,f4840,f4319,f826,f789,f4871,f4866]) ).
thf(f16949,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_148
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f9103,f47]) ).
thf(f16975,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_45
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f7884,f761]) ).
thf(f16977,plain,
( ~ spl2_161
| spl2_169
| ~ spl2_87
| ~ spl2_11
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f7305,f4371,f124,f1431,f5147,f4996]) ).
thf(f16978,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_11
| ~ spl2_45
| ~ spl2_135 ),
inference(forward_subsumption_resolution,[],[f7304,f761]) ).
thf(f16994,plain,
( ~ spl2_155
| spl2_157
| spl2_369
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f16593,f15975,f15260,f4972,f4966]) ).
thf(f16996,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_9 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f16998,plain,
( spl2_161
| spl2_196
| spl2_317
| ~ spl2_87
| ~ spl2_148
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f16949,f5123,f4716,f1431,f12989,f6016,f4996]) ).
thf(f17001,plain,
( spl2_76
| ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f16975,f846,f760,f124,f117,f1192]) ).
thf(f17002,plain,
( spl2_76
| ~ spl2_87
| ~ spl2_11
| ~ spl2_45
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f16978,f4361,f760,f124,f1431,f1192]) ).
thf(f17011,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f10955,f41]) ).
thf(f17018,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f10870,f41]) ).
thf(f17023,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_45
| spl2_52
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f17011,f1205]) ).
thf(f17025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_45
| spl2_47
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f17018,f4303]) ).
thf(f17026,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_45
| spl2_47
| spl2_52
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f17023,f4303]) ).
thf(f17027,plain,
( spl2_56
| ~ spl2_89
| spl2_147
| ~ spl2_45
| spl2_47
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f17025,f4471,f789,f760,f4702,f1438,f893]) ).
thf(f17028,plain,
( spl2_147
| ~ spl2_89
| ~ spl2_45
| spl2_47
| spl2_52
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f17026,f4476,f826,f789,f760,f1438,f4702]) ).
thf(f17074,plain,
( $false
| ~ spl2_3
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f16996,f71]) ).
thf(f17075,plain,
( ~ spl2_3
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f17074]) ).
thf(f17076,plain,
( spl2_146
| spl2_87
| spl2_426
| spl2_143
| ~ spl2_46
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f8493,f4361,f786,f4468,f16896,f1431,f4596]) ).
thf(f17079,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f1783,f84]) ).
thf(f17080,plain,
( ( $true != $true )
| ~ spl2_95
| ~ spl2_135 ),
inference(constrained_superposition,[],[f1783,f4362]) ).
thf(f17087,plain,
( ( $true != $true )
| ~ spl2_54
| ~ spl2_95 ),
inference(constrained_superposition,[],[f1783,f1345]) ).
thf(f17094,plain,
( $false
| ~ spl2_54
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f17087]) ).
thf(f17095,plain,
( ~ spl2_54
| ~ spl2_95 ),
inference(avatar_contradiction_clause,[],[f17094]) ).
thf(f17097,plain,
( $false
| ~ spl2_95
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f17080]) ).
thf(f17098,plain,
( ~ spl2_95
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f17097]) ).
thf(f17108,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f17079]) ).
thf(f17112,plain,
( spl2_76
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f17108,f1782,f1192]) ).
thf(f17144,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_56 ),
inference(constrained_superposition,[],[f894,f84]) ).
thf(f17151,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_56 ),
inference(trivial_inequality_removal,[],[f17144]) ).
thf(f17153,plain,
( $false
| spl2_56
| ~ spl2_151 ),
inference(forward_subsumption_resolution,[],[f17151,f4813]) ).
thf(f17154,plain,
( spl2_56
| ~ spl2_151 ),
inference(avatar_contradiction_clause,[],[f17153]) ).
thf(f17245,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_17
| ~ spl2_168 ),
inference(constrained_superposition,[],[f204,f5124]) ).
thf(f17251,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_17
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f17245]) ).
thf(f17259,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_135
| ~ spl2_183 ),
inference(constrained_superposition,[],[f7204,f5733]) ).
thf(f17260,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_183
| ~ spl2_274 ),
inference(constrained_superposition,[],[f11455,f5733]) ).
thf(f17263,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_45
| ~ spl2_183 ),
inference(constrained_superposition,[],[f1256,f5733]) ).
thf(f17265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_135
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f17259]) ).
thf(f17266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_183
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f17260]) ).
thf(f17268,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f17263]) ).
thf(f17271,plain,
( spl2_426
| ~ spl2_135
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f17265,f5732,f4361,f16896]) ).
thf(f17279,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_155 ),
inference(constrained_superposition,[],[f6247,f8393]) ).
thf(f17281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f17279]) ).
thf(f17290,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_390 ),
inference(constrained_superposition,[],[f16016,f451]) ).
thf(f17291,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_390 ),
inference(constrained_superposition,[],[f16016,f85]) ).
thf(f17296,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f17291]) ).
thf(f17297,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f17290]) ).
thf(f17302,plain,
( spl2_293
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f17296,f16015,f12691]) ).
thf(f17303,plain,
( spl2_389
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f17297,f16015,f16010]) ).
thf(f17305,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_274
| ~ spl2_352 ),
inference(constrained_superposition,[],[f11455,f14271]) ).
thf(f17310,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_274
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f17305]) ).
thf(f17314,definition,
( spl2_444
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_444])],[avatar_definition]) ).
thf(f17315,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_444 ),
inference(avatar_component_clause,[],[f17314]) ).
thf(f17316,plain,
( spl2_293
| spl2_444
| ~ spl2_274
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f17310,f14270,f11400,f17314,f12691]) ).
thf(f17317,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_396 ),
inference(constrained_superposition,[],[f16296,f49]) ).
thf(f17319,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_396 ),
inference(trivial_inequality_removal,[],[f17317]) ).
thf(f17321,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_219 ),
inference(constrained_superposition,[],[f8112,f451]) ).
thf(f17328,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_219 ),
inference(trivial_inequality_removal,[],[f17321]) ).
thf(f17332,plain,
( spl2_180
| spl2_219 ),
inference(avatar_split_clause,[],[f17328,f8111,f5694]) ).
thf(f17370,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_293 ),
inference(constrained_superposition,[],[f204,f12692]) ).
thf(f17372,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f17370]) ).
thf(f17374,plain,
( $false
| ~ spl2_17
| ~ spl2_293
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f17372,f15061]) ).
thf(f17375,plain,
( ~ spl2_17
| ~ spl2_293
| ~ spl2_360 ),
inference(avatar_contradiction_clause,[],[f17374]) ).
thf(f17376,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_274
| ~ spl2_342 ),
inference(constrained_superposition,[],[f11455,f13769]) ).
thf(f17386,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_274
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f17376]) ).
thf(f17388,plain,
( spl2_417
| spl2_293
| ~ spl2_274
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f17386,f13768,f11400,f12691,f16837]) ).
thf(f17432,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_274
| ~ spl2_338 ),
inference(constrained_superposition,[],[f11455,f16007]) ).
thf(f17438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_274
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f17432]) ).
thf(f17445,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_129
| ~ spl2_389 ),
inference(constrained_superposition,[],[f4320,f16011]) ).
thf(f17449,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f17445]) ).
thf(f17453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_129
| ~ spl2_352
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f17449,f14271]) ).
thf(f17454,plain,
( spl2_367
| ~ spl2_129
| ~ spl2_352
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f17453,f16010,f14270,f4319,f15244]) ).
thf(f17469,plain,
( spl2_393
| spl2_293
| ~ spl2_274
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f17438,f13715,f11400,f12691,f16056]) ).
thf(f17476,plain,
( spl2_360
| spl2_396 ),
inference(avatar_split_clause,[],[f17319,f16295,f15060]) ).
thf(f17479,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81 ),
inference(forward_subsumption_resolution,[],[f7991,f47]) ).
thf(f17481,plain,
( spl2_9
| spl2_54
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f17479,f1230,f846,f117]) ).
thf(f17513,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_390 ),
inference(constrained_superposition,[],[f16016,f49]) ).
thf(f17520,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f17513]) ).
thf(f17522,plain,
( spl2_360
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f17520,f16015,f15060]) ).
thf(f17551,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_31
| spl2_293 ),
inference(constrained_superposition,[],[f16840,f514]) ).
thf(f17552,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_120
| spl2_293 ),
inference(constrained_superposition,[],[f16840,f3021]) ).
thf(f17555,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| spl2_293 ),
inference(trivial_inequality_removal,[],[f17552]) ).
thf(f17557,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_31
| spl2_293 ),
inference(trivial_inequality_removal,[],[f17551]) ).
thf(f17560,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_31
| spl2_293
| spl2_360 ),
inference(forward_subsumption_resolution,[],[f17557,f16053]) ).
thf(f17562,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_31
| spl2_293
| spl2_360 ),
inference(forward_subsumption_resolution,[],[f17560,f47]) ).
thf(f17563,plain,
( spl2_343
| ~ spl2_31
| spl2_293
| spl2_360 ),
inference(avatar_split_clause,[],[f17562,f15060,f12691,f513,f13771]) ).
thf(f17570,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f186,f4358]) ).
thf(f17585,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f17570]) ).
thf(f17588,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_144
| spl2_296 ),
inference(constrained_superposition,[],[f16842,f4472]) ).
thf(f17589,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148
| spl2_296 ),
inference(constrained_superposition,[],[f16842,f4717]) ).
thf(f17591,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_243
| spl2_296 ),
inference(constrained_superposition,[],[f16842,f9609]) ).
thf(f17595,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_243
| spl2_296 ),
inference(trivial_inequality_removal,[],[f17591]) ).
thf(f17597,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_148
| spl2_296 ),
inference(trivial_inequality_removal,[],[f17589]) ).
thf(f17599,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_144
| spl2_296 ),
inference(trivial_inequality_removal,[],[f17588]) ).
thf(f17604,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_243
| spl2_296 ),
inference(forward_subsumption_resolution,[],[f17595,f47]) ).
thf(f17605,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148
| spl2_296
| spl2_360 ),
inference(forward_subsumption_resolution,[],[f17597,f16053]) ).
thf(f17607,plain,
( spl2_342
| spl2_313
| spl2_343
| ~ spl2_144
| spl2_296 ),
inference(avatar_split_clause,[],[f17599,f12708,f4471,f13771,f12811,f13768]) ).
thf(f17608,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_146
| ~ spl2_243
| spl2_296 ),
inference(forward_subsumption_resolution,[],[f17604,f15891]) ).
thf(f17609,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148
| spl2_296
| spl2_360 ),
inference(forward_subsumption_resolution,[],[f17605,f47]) ).
thf(f17610,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_146
| ~ spl2_243
| spl2_296 ),
inference(forward_subsumption_resolution,[],[f17608,f47]) ).
thf(f17611,plain,
( spl2_313
| ~ spl2_148
| spl2_296
| spl2_360 ),
inference(avatar_split_clause,[],[f17609,f15060,f12708,f4716,f12811]) ).
thf(f17612,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_146
| ~ spl2_243
| spl2_296
| spl2_360 ),
inference(forward_subsumption_resolution,[],[f17610,f16053]) ).
thf(f17613,plain,
( spl2_313
| spl2_143
| spl2_146
| ~ spl2_243
| spl2_296
| spl2_360 ),
inference(avatar_split_clause,[],[f17612,f15060,f12708,f9608,f4596,f4468,f12811]) ).
thf(f17615,plain,
( ~ spl2_161
| spl2_157
| ~ spl2_11
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f17281,f4966,f124,f4972,f4996]) ).
thf(f17616,plain,
( spl2_87
| spl2_426
| ~ spl2_183
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f17266,f11400,f5732,f16896,f1431]) ).
thf(f17626,plain,
( ~ spl2_161
| ~ spl2_17
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f17251,f5123,f203,f4996]) ).
thf(f17628,plain,
( ~ spl2_89
| spl2_147
| ~ spl2_45
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f17268,f5732,f760,f4702,f1438]) ).
thf(f17629,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f17555,f47]) ).
thf(f17630,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f17585,f47]) ).
thf(f17631,plain,
( spl2_9
| spl2_360
| spl2_343
| ~ spl2_120
| spl2_293 ),
inference(avatar_split_clause,[],[f17629,f12691,f3020,f13771,f15060,f117]) ).
thf(f17632,plain,
( spl2_89
| spl2_140
| spl2_161
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f17630,f4357,f4996,f4423,f1438]) ).
thf(f17636,plain,
( ( $true != $true )
| ~ spl2_5
| ~ spl2_168 ),
inference(constrained_superposition,[],[f99,f5124]) ).
thf(f17640,plain,
( $false
| ~ spl2_5
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f17636]) ).
thf(f17641,plain,
( ~ spl2_5
| ~ spl2_168 ),
inference(avatar_contradiction_clause,[],[f17640]) ).
thf(f17673,plain,
( ( $true != $true )
| ~ spl2_76
| ~ spl2_151 ),
inference(constrained_superposition,[],[f4813,f1193]) ).
thf(f17677,plain,
( $false
| ~ spl2_76
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f17673]) ).
thf(f17678,plain,
( ~ spl2_76
| ~ spl2_151 ),
inference(avatar_contradiction_clause,[],[f17677]) ).
thf(f17697,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_56 ),
inference(constrained_superposition,[],[f6247,f2555]) ).
thf(f17698,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f29,f2555]) ).
thf(f17699,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f17698]) ).
thf(f17703,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f17697]) ).
thf(f17704,plain,
( spl2_321
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f17699,f893,f13452]) ).
thf(f17705,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_45
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f17703,f761]) ).
thf(f17706,plain,
( spl2_58
| ~ spl2_11
| ~ spl2_45
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f17705,f893,f760,f124,f899]) ).
thf(f17740,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_139
| ~ spl2_274 ),
inference(constrained_superposition,[],[f11455,f6221]) ).
thf(f17744,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f29,f6221]) ).
thf(f17747,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_139
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f17740]) ).
thf(f17751,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f17744]) ).
thf(f17752,plain,
( spl2_87
| spl2_208
| ~ spl2_139
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f17747,f11400,f4393,f7325,f1431]) ).
thf(f17753,plain,
( spl2_333
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f17751,f4393,f13557]) ).
thf(f17754,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_87 ),
inference(constrained_superposition,[],[f29,f4598]) ).
thf(f17755,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_87 ),
inference(trivial_inequality_removal,[],[f17754]) ).
thf(f17756,plain,
( spl2_316
| ~ spl2_87 ),
inference(avatar_split_clause,[],[f17755,f1431,f12985]) ).
thf(f17768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_161
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8586,f4997]) ).
thf(f17771,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_161
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f17768]) ).
thf(f17801,plain,
( $false
| ~ spl2_39
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f5988,f739]) ).
thf(f17802,plain,
( ~ spl2_39
| spl2_183 ),
inference(avatar_contradiction_clause,[],[f17801]) ).
thf(f17811,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f185,f5148]) ).
thf(f17822,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f17811]) ).
thf(f17827,plain,
( spl2_25
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f17822,f5147,f349]) ).
thf(f17829,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_144
| spl2_183 ),
inference(constrained_superposition,[],[f5988,f4472]) ).
thf(f17837,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_144
| spl2_183 ),
inference(trivial_inequality_removal,[],[f17829]) ).
thf(f17845,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_56
| ~ spl2_144
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f17837,f894]) ).
thf(f17848,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_56
| ~ spl2_144
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f17845,f41]) ).
thf(f17850,plain,
( $false
| spl2_47
| spl2_56
| ~ spl2_144
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f17848,f4303]) ).
thf(f17851,plain,
( spl2_47
| spl2_56
| ~ spl2_144
| spl2_183 ),
inference(avatar_contradiction_clause,[],[f17850]) ).
thf(f17868,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_45
| ~ spl2_181 ),
inference(constrained_superposition,[],[f1256,f5725]) ).
thf(f17872,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f17868]) ).
thf(f17875,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_161
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f17872,f4997]) ).
thf(f17876,plain,
( spl2_186
| ~ spl2_45
| ~ spl2_161
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f17875,f5724,f4996,f760,f5784]) ).
thf(f17925,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f23,f4369]) ).
thf(f17926,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f17925]) ).
thf(f17936,plain,
( spl2_140
| spl2_164
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f17926,f4368,f5107,f4423]) ).
thf(f17972,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_342 ),
inference(avatar_component_clause,[],[f13768]) ).
thf(f17974,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_342 ),
inference(constrained_superposition,[],[f17972,f84]) ).
thf(f17982,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_342 ),
inference(trivial_inequality_removal,[],[f17974]) ).
thf(f18030,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_338
| ~ spl2_367 ),
inference(constrained_superposition,[],[f15245,f16007]) ).
thf(f18041,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_338
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f18030]) ).
thf(f18044,plain,
( $false
| ~ spl2_45
| ~ spl2_338
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f18041,f761]) ).
thf(f18045,plain,
( ~ spl2_45
| ~ spl2_338
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f18044]) ).
thf(f18051,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f62,f85]) ).
thf(f18053,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f62,f450]) ).
thf(f18060,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f18051]) ).
thf(f18065,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f18053]) ).
thf(f18127,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_387 ),
inference(constrained_superposition,[],[f5785,f15980]) ).
thf(f18128,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_171
| ~ spl2_186 ),
inference(constrained_superposition,[],[f5785,f5199]) ).
thf(f18135,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_171
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f18128]) ).
thf(f18143,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_186
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f18127]) ).
thf(f18144,plain,
( $false
| ~ spl2_54
| ~ spl2_171
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f18135,f1345]) ).
thf(f18145,plain,
( ~ spl2_54
| ~ spl2_171
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f18144]) ).
thf(f18147,plain,
( $false
| ~ spl2_186
| ~ spl2_387
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f18143,f16011]) ).
thf(f18148,plain,
( ~ spl2_186
| ~ spl2_387
| ~ spl2_389 ),
inference(avatar_contradiction_clause,[],[f18147]) ).
thf(f18167,plain,
( ( $true != $true )
| ~ spl2_137
| ~ spl2_140 ),
inference(constrained_superposition,[],[f4424,f4369]) ).
thf(f18180,plain,
( $false
| ~ spl2_137
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f18167]) ).
thf(f18181,plain,
( ~ spl2_137
| ~ spl2_140 ),
inference(avatar_contradiction_clause,[],[f18180]) ).
thf(f18182,plain,
( ~ spl2_9
| spl2_173
| ~ spl2_161
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f17771,f5123,f4996,f5309,f117]) ).
thf(f18206,plain,
( ( $true != $true )
| ~ spl2_134
| ~ spl2_167 ),
inference(constrained_superposition,[],[f5121,f4358]) ).
thf(f18218,plain,
( $false
| ~ spl2_134
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f18206]) ).
thf(f18219,plain,
( ~ spl2_134
| ~ spl2_167 ),
inference(avatar_contradiction_clause,[],[f18218]) ).
thf(f18226,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_11
| ~ spl2_171 ),
inference(constrained_superposition,[],[f6662,f5199]) ).
thf(f18229,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f18226]) ).
thf(f18233,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f18229,f118]) ).
thf(f18235,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_161
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f18233,f4997]) ).
thf(f18236,plain,
( spl2_169
| ~ spl2_9
| ~ spl2_11
| ~ spl2_161
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f18235,f5198,f4996,f124,f117,f5147]) ).
thf(f18296,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_181
| ~ spl2_274 ),
inference(constrained_superposition,[],[f11455,f5725]) ).
thf(f18297,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f93,f5725]) ).
thf(f18298,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_181 ),
inference(constrained_superposition,[],[f6662,f5725]) ).
thf(f18299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_45
| ~ spl2_181 ),
inference(constrained_superposition,[],[f1256,f5725]) ).
thf(f18300,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f29,f5725]) ).
thf(f18301,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_11
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f18298]) ).
thf(f18302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f18297]) ).
thf(f18303,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f18296]) ).
thf(f18304,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f18300]) ).
thf(f18305,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f18299]) ).
thf(f18308,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_181 ),
inference(constrained_superposition,[],[f5310,f5725]) ).
thf(f18320,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f18308]) ).
thf(f18321,plain,
( $false
| ~ spl2_45
| ~ spl2_173
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f18320,f761]) ).
thf(f18322,plain,
( ~ spl2_45
| ~ spl2_173
| ~ spl2_181 ),
inference(avatar_contradiction_clause,[],[f18321]) ).
thf(f18323,plain,
( spl2_369
| spl2_342 ),
inference(avatar_split_clause,[],[f17982,f13768,f15260]) ).
thf(f18324,plain,
( ~ spl2_161
| spl2_186
| ~ spl2_45
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f18305,f5724,f760,f5784,f4996]) ).
thf(f18326,definition,
( spl2_454
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_454])],[avatar_definition]) ).
thf(f18327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_454 ),
inference(avatar_component_clause,[],[f18326]) ).
thf(f18328,plain,
( spl2_168
| spl2_454
| ~ spl2_181
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f18303,f11400,f5724,f18326,f5123]) ).
thf(f18358,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_46
| spl2_183 ),
inference(constrained_superposition,[],[f5988,f787]) ).
thf(f18368,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_46
| spl2_183 ),
inference(trivial_inequality_removal,[],[f18358]) ).
thf(f18376,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_46
| spl2_146
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f18368,f15891]) ).
thf(f18377,plain,
( spl2_143
| spl2_87
| ~ spl2_46
| spl2_146
| spl2_183 ),
inference(avatar_split_clause,[],[f18376,f5732,f4596,f786,f1431,f4468]) ).
thf(f18488,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_180
| ~ spl2_274 ),
inference(constrained_superposition,[],[f7384,f11407]) ).
thf(f18489,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_81
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f8001]) ).
thf(f18490,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_81
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f9319]) ).
thf(f18492,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_81
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f7989]) ).
thf(f18494,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f1247]) ).
thf(f18498,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_180
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f18488]) ).
thf(f18499,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_180 ),
inference(trivial_inequality_removal,[],[f18494]) ).
thf(f18502,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_81
| spl2_180 ),
inference(trivial_inequality_removal,[],[f18492]) ).
thf(f18503,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_81
| spl2_180 ),
inference(trivial_inequality_removal,[],[f18489]) ).
thf(f18506,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| spl2_180 ),
inference(trivial_inequality_removal,[],[f18490]) ).
thf(f18508,plain,
( $false
| spl2_168
| spl2_180
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f18498,f6717]) ).
thf(f18509,plain,
( spl2_168
| spl2_180
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f18508]) ).
thf(f18510,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_82
| spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f18499,f6717]) ).
thf(f18513,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f18502,f6717]) ).
thf(f18514,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f18503,f6717]) ).
thf(f18516,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f18506,f6717]) ).
thf(f18518,plain,
( spl2_163
| spl2_159
| ~ spl2_82
| spl2_168
| spl2_180 ),
inference(avatar_split_clause,[],[f18510,f5694,f5123,f1246,f4988,f5103]) ).
thf(f18520,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f18513,f47]) ).
thf(f18521,plain,
( spl2_143
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(avatar_split_clause,[],[f18514,f5694,f5123,f1230,f4468]) ).
thf(f18523,plain,
( $false
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f18516,f47]) ).
thf(f18524,plain,
( ~ spl2_81
| spl2_168
| spl2_180 ),
inference(avatar_contradiction_clause,[],[f18523]) ).
thf(f18525,plain,
( spl2_163
| ~ spl2_81
| spl2_168
| spl2_180 ),
inference(avatar_split_clause,[],[f18520,f5694,f5123,f1230,f5103]) ).
thf(f18530,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_89 ),
inference(constrained_superposition,[],[f29,f1439]) ).
thf(f18531,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_89 ),
inference(trivial_inequality_removal,[],[f18530]) ).
thf(f18600,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_342 ),
inference(constrained_superposition,[],[f6247,f13769]) ).
thf(f18601,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_342 ),
inference(constrained_superposition,[],[f29,f13769]) ).
thf(f18603,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f18601]) ).
thf(f18607,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f18600]) ).
thf(f18622,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_11
| ~ spl2_133 ),
inference(constrained_superposition,[],[f6662,f4355]) ).
thf(f18625,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f18622]) ).
thf(f18710,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_172
| ~ spl2_388 ),
inference(constrained_superposition,[],[f5256,f15983]) ).
thf(f18721,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_388 ),
inference(constrained_superposition,[],[f23,f15983]) ).
thf(f18727,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f18721]) ).
thf(f18729,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_172
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f18710]) ).
thf(f18735,plain,
( spl2_392
| spl2_390
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f18727,f15982,f16015,f16025]) ).
thf(f18736,plain,
( ~ spl2_303
| ~ spl2_172
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f18729,f15982,f5255,f12743]) ).
thf(f18739,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_303 ),
inference(constrained_superposition,[],[f12744,f85]) ).
thf(f18742,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_303 ),
inference(trivial_inequality_removal,[],[f18739]) ).
thf(f18777,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f16641,f450]) ).
thf(f18779,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f18777]) ).
thf(f18844,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_388 ),
inference(constrained_superposition,[],[f5108,f15983]) ).
thf(f18845,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_169 ),
inference(constrained_superposition,[],[f5108,f5148]) ).
thf(f18848,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f18845]) ).
thf(f18853,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f18844]) ).
thf(f18859,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_164
| ~ spl2_388 ),
inference(constrained_superposition,[],[f18853,f50]) ).
thf(f18860,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_164
| ~ spl2_388 ),
inference(constrained_superposition,[],[f18853,f28]) ).
thf(f18862,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f18860]) ).
thf(f18863,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f18859]) ).
thf(f18865,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_164
| spl2_296
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f18862,f16842]) ).
thf(f18866,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_164
| spl2_296
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f18863,f16842]) ).
thf(f18868,plain,
( spl2_313
| ~ spl2_164
| spl2_296
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f18865,f15982,f12708,f5107,f12811]) ).
thf(f18869,plain,
( spl2_163
| ~ spl2_164
| spl2_296
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f18866,f15982,f12708,f5107,f5103]) ).
thf(f18883,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_337
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13713,f15976]) ).
thf(f18896,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_337
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f18883]) ).
thf(f18901,plain,
( $false
| ~ spl2_180
| ~ spl2_337
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f18896,f5695]) ).
thf(f18902,plain,
( ~ spl2_180
| ~ spl2_337
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f18901]) ).
thf(f18912,plain,
( ~ spl2_38
| spl2_338
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f18779,f16640,f13715,f734]) ).
thf(f18939,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_352 ),
inference(avatar_component_clause,[],[f14270]) ).
thf(f18953,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_342
| ~ spl2_409 ),
inference(constrained_superposition,[],[f16778,f13769]) ).
thf(f18954,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_409 ),
inference(constrained_superposition,[],[f16778,f84]) ).
thf(f18955,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_386
| ~ spl2_409 ),
inference(constrained_superposition,[],[f16778,f15976]) ).
thf(f18964,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f18954]) ).
thf(f18965,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_342
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f18953]) ).
thf(f18968,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_386
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f18955]) ).
thf(f18972,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f18964,f6221]) ).
thf(f18973,plain,
( $false
| ~ spl2_139
| ~ spl2_342
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f18965,f6221]) ).
thf(f18974,plain,
( ~ spl2_139
| ~ spl2_342
| ~ spl2_409 ),
inference(avatar_contradiction_clause,[],[f18973]) ).
thf(f18976,plain,
( $false
| ~ spl2_133
| ~ spl2_386
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f18968,f4355]) ).
thf(f18977,plain,
( ~ spl2_133
| ~ spl2_386
| ~ spl2_409 ),
inference(avatar_contradiction_clause,[],[f18976]) ).
thf(f18983,plain,
( spl2_369
| ~ spl2_139
| ~ spl2_409 ),
inference(avatar_split_clause,[],[f18972,f16777,f4393,f15260]) ).
thf(f18991,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_129
| ~ spl2_180 ),
inference(constrained_superposition,[],[f4320,f5695]) ).
thf(f19012,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_129
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f18991]) ).
thf(f19023,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_171
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f19012,f5199]) ).
thf(f19027,plain,
( spl2_173
| ~ spl2_129
| ~ spl2_171
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f19023,f5694,f5198,f4319,f5309]) ).
thf(f19064,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_392 ),
inference(constrained_superposition,[],[f16026,f48]) ).
thf(f19068,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f19064]) ).
thf(f19073,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_352
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f19068,f18939]) ).
thf(f19075,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_352
| ~ spl2_392 ),
inference(constrained_superposition,[],[f19073,f48]) ).
thf(f19078,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_352
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f19075]) ).
thf(f19225,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387
| ~ spl2_444 ),
inference(constrained_superposition,[],[f17315,f15980]) ).
thf(f19243,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387
| ~ spl2_444 ),
inference(trivial_inequality_removal,[],[f19225]) ).
thf(f19250,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_171
| ~ spl2_387
| ~ spl2_444 ),
inference(forward_subsumption_resolution,[],[f19243,f5199]) ).
thf(f19255,plain,
( $false
| ~ spl2_171
| ~ spl2_180
| ~ spl2_387
| ~ spl2_444 ),
inference(forward_subsumption_resolution,[],[f19250,f5695]) ).
thf(f19256,plain,
( ~ spl2_171
| ~ spl2_180
| ~ spl2_387
| ~ spl2_444 ),
inference(avatar_contradiction_clause,[],[f19255]) ).
thf(f19374,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_394 ),
inference(constrained_superposition,[],[f16062,f15061]) ).
thf(f19375,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_360
| ~ spl2_394 ),
inference(trivial_inequality_removal,[],[f19374]) ).
thf(f19390,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_360
| ~ spl2_394 ),
inference(forward_subsumption_resolution,[],[f19375,f761]) ).
thf(f19395,plain,
( $false
| ~ spl2_9
| ~ spl2_45
| ~ spl2_360
| ~ spl2_394 ),
inference(forward_subsumption_resolution,[],[f19390,f118]) ).
thf(f19396,plain,
( ~ spl2_9
| ~ spl2_45
| ~ spl2_360
| ~ spl2_394 ),
inference(avatar_contradiction_clause,[],[f19395]) ).
thf(f19405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_120
| ~ spl2_333 ),
inference(constrained_superposition,[],[f13558,f3021]) ).
thf(f19412,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_120
| ~ spl2_333 ),
inference(trivial_inequality_removal,[],[f19405]) ).
thf(f19418,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_120
| ~ spl2_333 ),
inference(forward_subsumption_resolution,[],[f19412,f6247]) ).
thf(f19421,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_120
| ~ spl2_333 ),
inference(forward_subsumption_resolution,[],[f19418,f47]) ).
thf(f19426,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181
| ~ spl2_416 ),
inference(constrained_superposition,[],[f16832,f5725]) ).
thf(f19435,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_416 ),
inference(trivial_inequality_removal,[],[f19426]) ).
thf(f19440,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_146
| ~ spl2_181
| ~ spl2_416 ),
inference(forward_subsumption_resolution,[],[f19435,f15891]) ).
thf(f19441,plain,
( spl2_186
| spl2_146
| ~ spl2_181
| ~ spl2_416 ),
inference(avatar_split_clause,[],[f19440,f16831,f5724,f4596,f5784]) ).
thf(f19499,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_387
| ~ spl2_393 ),
inference(constrained_superposition,[],[f16057,f15980]) ).
thf(f19523,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_387
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f19499]) ).
thf(f19532,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_387
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f19523,f5695]) ).
thf(f19537,plain,
( $false
| ~ spl2_180
| ~ spl2_181
| ~ spl2_387
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f19532,f5725]) ).
thf(f19538,plain,
( ~ spl2_180
| ~ spl2_181
| ~ spl2_387
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f19537]) ).
thf(f19541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_89
| ~ spl2_133 ),
inference(constrained_superposition,[],[f18531,f4355]) ).
thf(f19556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_89
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f19541]) ).
thf(f19604,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_89
| ~ spl2_133
| ~ spl2_180 ),
inference(constrained_superposition,[],[f19556,f5695]) ).
thf(f19616,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_89
| ~ spl2_133
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f19604]) ).
thf(f19631,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_45
| ~ spl2_89
| ~ spl2_133
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f19616,f761]) ).
thf(f19643,plain,
( $false
| ~ spl2_45
| ~ spl2_89
| ~ spl2_133
| ~ spl2_135
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f19631,f4362]) ).
thf(f19644,plain,
( ~ spl2_45
| ~ spl2_89
| ~ spl2_133
| ~ spl2_135
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f19643]) ).
thf(f19700,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_161
| ~ spl2_454 ),
inference(constrained_superposition,[],[f18327,f4997]) ).
thf(f19704,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f19700]) ).
thf(f19707,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f5785,f84]) ).
thf(f19723,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f19707]) ).
thf(f19768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_139
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12986,f6221]) ).
thf(f19769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12986,f84]) ).
thf(f19770,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_133
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12986,f4355]) ).
thf(f19777,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f19769]) ).
thf(f19784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f19770]) ).
thf(f19785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_139
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f19768]) ).
thf(f19786,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_164
| ~ spl2_169
| ~ spl2_316 ),
inference(forward_subsumption_resolution,[],[f19777,f18848]) ).
thf(f19789,plain,
( spl2_331
| ~ spl2_139
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f19785,f12985,f4393,f13530]) ).
thf(f19790,plain,
( spl2_331
| ~ spl2_164
| ~ spl2_169
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f19786,f12985,f5147,f5107,f13530]) ).
thf(f19835,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_133
| ~ spl2_316
| ~ spl2_386 ),
inference(constrained_superposition,[],[f19784,f15976]) ).
thf(f19858,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_133
| ~ spl2_316
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f19835]) ).
thf(f19864,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_133
| ~ spl2_293
| ~ spl2_316
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f19858,f12692]) ).
thf(f19865,plain,
( ~ spl2_404
| ~ spl2_133
| ~ spl2_293
| ~ spl2_316
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f19864,f15975,f12985,f12691,f4354,f16601]) ).
thf(f19867,definition,
( spl2_479
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_479])],[avatar_definition]) ).
thf(f19868,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_479 ),
inference(avatar_component_clause,[],[f19867]) ).
thf(f20009,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_385
| ~ spl2_406 ),
inference(constrained_superposition,[],[f16641,f15973]) ).
thf(f20010,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_385
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f20009]) ).
thf(f20016,plain,
( ~ spl2_179
| ~ spl2_385
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f20010,f16640,f15972,f5672]) ).
thf(f20040,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_120
| ~ spl2_342 ),
inference(constrained_superposition,[],[f18603,f3021]) ).
thf(f20044,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_120
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f20040]) ).
thf(f20050,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_11
| ~ spl2_120
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f20044,f6247]) ).
thf(f20051,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_120
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f20050,f47]) ).
thf(f20052,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_11
| ~ spl2_120
| ~ spl2_342
| spl2_352 ),
inference(forward_subsumption_resolution,[],[f20051,f18939]) ).
thf(f20114,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f18304,f84]) ).
thf(f20116,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_387 ),
inference(constrained_superposition,[],[f18304,f15980]) ).
thf(f20117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171
| ~ spl2_181 ),
inference(constrained_superposition,[],[f18304,f5199]) ).
thf(f20126,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f20116]) ).
thf(f20127,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f20117]) ).
thf(f20131,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f20114]) ).
thf(f20132,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_45
| ~ spl2_171
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f20127,f761]) ).
thf(f20133,plain,
( spl2_53
| ~ spl2_45
| ~ spl2_171
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f20132,f5724,f5198,f760,f843]) ).
thf(f20134,plain,
( ~ spl2_338
| spl2_337
| ~ spl2_181
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f20126,f15979,f5724,f13712,f13715]) ).
thf(f20138,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_53
| ~ spl2_180 ),
inference(constrained_superposition,[],[f844,f5695]) ).
thf(f20152,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_53
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f20138]) ).
thf(f20160,plain,
( $false
| ~ spl2_53
| ~ spl2_161
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f20152,f4997]) ).
thf(f20161,plain,
( ~ spl2_53
| ~ spl2_161
| ~ spl2_180 ),
inference(avatar_contradiction_clause,[],[f20160]) ).
thf(f20162,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_161
| ~ spl2_454 ),
inference(forward_subsumption_resolution,[],[f19704,f761]) ).
thf(f20166,plain,
( spl2_171
| spl2_352
| ~ spl2_392 ),
inference(avatar_split_clause,[],[f19078,f16025,f14270,f5198]) ).
thf(f20171,plain,
( ~ spl2_54
| ~ spl2_45
| ~ spl2_161
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f20162,f18326,f4996,f760,f846]) ).
thf(f20251,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_82
| spl2_135 ),
inference(constrained_superposition,[],[f5903,f1247]) ).
thf(f20252,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| spl2_135 ),
inference(constrained_superposition,[],[f5903,f3021]) ).
thf(f20255,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_82
| spl2_135 ),
inference(trivial_inequality_removal,[],[f20251]) ).
thf(f20262,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| spl2_135 ),
inference(trivial_inequality_removal,[],[f20252]) ).
thf(f20309,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_313 ),
inference(constrained_superposition,[],[f41,f12812]) ).
thf(f20347,plain,
( ~ spl2_360
| spl2_348
| ~ spl2_11
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f18607,f13768,f124,f14147,f15060]) ).
thf(f20360,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_479 ),
inference(constrained_superposition,[],[f19868,f450]) ).
thf(f20366,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_479 ),
inference(trivial_inequality_removal,[],[f20360]) ).
thf(f20376,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_313 ),
inference(equality_resolution,[],[f20309]) ).
thf(f20381,plain,
( spl2_163
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f20376,f12811,f5103]) ).
thf(f20383,plain,
( ~ spl2_52
| spl2_169
| spl2_58
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f20131,f5724,f899,f5147,f826]) ).
thf(f20399,plain,
( spl2_52
| spl2_36
| spl2_274 ),
inference(avatar_split_clause,[],[f11389,f11400,f726,f826]) ).
thf(f20400,plain,
( ~ spl2_168
| ~ spl2_89
| spl2_156
| ~ spl2_11
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f18625,f4354,f124,f4969,f1438,f5123]) ).
thf(f20402,definition,
( spl2_490
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_490])],[avatar_definition]) ).
thf(f20403,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_490 ),
inference(avatar_component_clause,[],[f20402]) ).
thf(f20404,plain,
( spl2_490
| spl2_153
| ~ spl2_11
| ~ spl2_120
| ~ spl2_333 ),
inference(avatar_split_clause,[],[f19421,f13557,f3020,f124,f4866,f20402]) ).
thf(f20405,plain,
( spl2_274
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f11392,f1230,f11400]) ).
thf(f20406,plain,
( spl2_8
| spl2_9
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f18060,f61,f117,f114]) ).
thf(f20410,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_82
| spl2_135
| spl2_146 ),
inference(forward_subsumption_resolution,[],[f20255,f15891]) ).
thf(f20411,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| spl2_135
| spl2_146 ),
inference(forward_subsumption_resolution,[],[f20262,f15891]) ).
thf(f20413,plain,
( spl2_58
| ~ spl2_56
| spl2_169
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f18302,f5724,f5147,f893,f899]) ).
thf(f20414,plain,
( spl2_169
| ~ spl2_56
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f19723,f5784,f893,f5147]) ).
thf(f20415,plain,
( spl2_56
| spl2_81
| spl2_10
| spl2_47 ),
inference(avatar_split_clause,[],[f6274,f789,f121,f1230,f893]) ).
thf(f20416,plain,
( ~ spl2_52
| spl2_169
| ~ spl2_161
| ~ spl2_11
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f18301,f5724,f124,f4996,f5147,f826]) ).
thf(f20420,plain,
( spl2_143
| spl2_87
| ~ spl2_82
| spl2_135
| spl2_146 ),
inference(avatar_split_clause,[],[f20410,f4596,f4361,f1246,f1431,f4468]) ).
thf(f20421,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_120
| spl2_135
| spl2_146 ),
inference(forward_subsumption_resolution,[],[f20411,f47]) ).
thf(f20423,plain,
( spl2_89
| spl2_54
| ~ spl2_120
| spl2_135
| spl2_146 ),
inference(avatar_split_clause,[],[f20421,f4596,f4361,f3020,f846,f1438]) ).
thf(f20444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| ~ spl2_422 ),
inference(constrained_superposition,[],[f16869,f827]) ).
thf(f20446,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f29,f827]) ).
thf(f20447,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f20444]) ).
thf(f20448,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f20446]) ).
thf(f20450,plain,
( spl2_58
| spl2_143
| ~ spl2_52
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f20447,f16868,f826,f4468,f899]) ).
thf(f20451,plain,
( spl2_327
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f20448,f826,f13493]) ).
thf(f20459,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f93,f4874]) ).
thf(f20464,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f20459]) ).
thf(f20467,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f20464,f125]) ).
thf(f20469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_10
| ~ spl2_11
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f20467,f122]) ).
thf(f20471,plain,
( spl2_17
| ~ spl2_10
| ~ spl2_11
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f20469,f4866,f124,f121,f203]) ).
thf(f20474,plain,
( spl2_181
| spl2_479 ),
inference(avatar_split_clause,[],[f20366,f19867,f5724]) ).
thf(f20485,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_56
| ~ spl2_120
| ~ spl2_342
| spl2_352 ),
inference(constrained_superposition,[],[f20052,f2555]) ).
thf(f20488,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_56
| ~ spl2_120
| ~ spl2_342
| spl2_352 ),
inference(trivial_inequality_removal,[],[f20485]) ).
thf(f20494,plain,
( spl2_58
| spl2_306
| ~ spl2_11
| ~ spl2_56
| ~ spl2_120
| ~ spl2_342
| spl2_352 ),
inference(avatar_split_clause,[],[f20488,f14270,f13768,f3020,f893,f124,f12759,f899]) ).
thf(f20504,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f11422,f4970]) ).
thf(f20505,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_35
| ~ spl2_156 ),
inference(constrained_superposition,[],[f724,f4970]) ).
thf(f20513,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f23,f4970]) ).
thf(f20514,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_35
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f20505]) ).
thf(f20517,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f20504]) ).
thf(f20521,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f20513]) ).
thf(f20524,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_76 ),
inference(avatar_component_clause,[],[f1192]) ).
thf(f20525,plain,
( ~ spl2_76
| spl2_183
| ~ spl2_35
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f20514,f4969,f723,f5732,f1192]) ).
thf(f20527,plain,
( spl2_135
| ~ spl2_76
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f20517,f4969,f1192,f4361]) ).
thf(f20528,plain,
( spl2_176
| spl2_10
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f20521,f4969,f121,f5438]) ).
thf(f20559,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_135
| ~ spl2_331 ),
inference(constrained_superposition,[],[f13531,f4362]) ).
thf(f20563,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_135
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f20559]) ).
thf(f20565,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_135
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f20563,f827]) ).
thf(f20566,plain,
( $false
| ~ spl2_52
| ~ spl2_56
| ~ spl2_135
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f20565,f2555]) ).
thf(f20567,plain,
( ~ spl2_52
| ~ spl2_56
| ~ spl2_135
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f20566]) ).
thf(f20643,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| spl2_180 ),
inference(constrained_superposition,[],[f7384,f3021]) ).
thf(f20647,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| spl2_180 ),
inference(trivial_inequality_removal,[],[f20643]) ).
thf(f20659,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_369 ),
inference(constrained_superposition,[],[f11422,f15261]) ).
thf(f20663,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_369 ),
inference(constrained_superposition,[],[f77,f15261]) ).
thf(f20671,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f20663]) ).
thf(f20674,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f20659]) ).
thf(f20686,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58
| ~ spl2_120 ),
inference(constrained_superposition,[],[f900,f3021]) ).
thf(f20687,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_58
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f20686]) ).
thf(f20697,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_133
| ~ spl2_154 ),
inference(constrained_superposition,[],[f4872,f4355]) ).
thf(f20707,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_133
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f20697]) ).
thf(f20708,plain,
( $false
| ~ spl2_133
| ~ spl2_154
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f20707,f4997]) ).
thf(f20709,plain,
( ~ spl2_133
| ~ spl2_154
| ~ spl2_161 ),
inference(avatar_contradiction_clause,[],[f20708]) ).
thf(f20710,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f20687,f47]) ).
thf(f20711,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_120
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f20647,f47]) ).
thf(f20712,plain,
( spl2_54
| spl2_86
| ~ spl2_58
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f20710,f3020,f899,f1351,f846]) ).
thf(f20713,plain,
( spl2_163
| spl2_161
| spl2_54
| ~ spl2_120
| spl2_180 ),
inference(avatar_split_clause,[],[f20711,f5694,f3020,f846,f4996,f5103]) ).
thf(f20714,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_156 ),
inference(constrained_superposition,[],[f122,f4970]) ).
thf(f20715,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_169 ),
inference(constrained_superposition,[],[f122,f5148]) ).
thf(f20716,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_369 ),
inference(constrained_superposition,[],[f122,f15261]) ).
thf(f20721,plain,
( $false
| ~ spl2_10
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f20714]) ).
thf(f20722,plain,
( ~ spl2_10
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f20721]) ).
thf(f20724,plain,
( $false
| ~ spl2_10
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f20715]) ).
thf(f20725,plain,
( ~ spl2_10
| ~ spl2_169 ),
inference(avatar_contradiction_clause,[],[f20724]) ).
thf(f20727,plain,
( $false
| ~ spl2_10
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f20716]) ).
thf(f20728,plain,
( ~ spl2_10
| ~ spl2_369 ),
inference(avatar_contradiction_clause,[],[f20727]) ).
thf(f20740,plain,
( spl2_390
| spl2_360
| ~ spl2_23
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f20671,f15260,f277,f15060,f16015]) ).
thf(f20742,plain,
( ~ spl2_76
| spl2_389
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f20674,f15260,f16010,f1192]) ).
thf(f20743,plain,
( spl2_293
| spl2_303 ),
inference(avatar_split_clause,[],[f18742,f12743,f12691]) ).
thf(f20752,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= sK1 ) )
| spl2_11 ),
inference(constrained_superposition,[],[f201,f614]) ).
thf(f20754,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f20752]) ).
thf(f20756,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f20754,f47]) ).
thf(f20758,plain,
( spl2_345
| spl2_11 ),
inference(avatar_split_clause,[],[f20756,f124,f13999]) ).
thf(f20829,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_139
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4394,f4717]) ).
thf(f20837,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_139
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f20829]) ).
thf(f20840,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_11
| spl2_139
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f20837,f201]) ).
thf(f20841,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_11
| spl2_139
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f20840,f47]) ).
thf(f20842,plain,
( spl2_143
| spl2_11
| spl2_139
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f20841,f4716,f4393,f124,f4468]) ).
thf(f20861,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_182 ),
inference(constrained_superposition,[],[f5728,f28]) ).
thf(f20862,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_182 ),
inference(trivial_inequality_removal,[],[f20861]) ).
thf(f20866,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_146
| spl2_182 ),
inference(forward_subsumption_resolution,[],[f20862,f15891]) ).
thf(f20869,plain,
( spl2_183
| spl2_146
| spl2_182 ),
inference(avatar_split_clause,[],[f20866,f5727,f4596,f5732]) ).
thf(f20870,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_183
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12986,f5733]) ).
thf(f20874,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_183
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f20870]) ).
thf(f20878,plain,
( spl2_325
| ~ spl2_183
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f20874,f12985,f5732,f13482]) ).
thf(f20885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f29,f15061]) ).
thf(f20886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f20885]) ).
thf(f20980,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_48
| spl2_161 ),
inference(constrained_superposition,[],[f5787,f796]) ).
thf(f20982,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_48
| spl2_161 ),
inference(trivial_inequality_removal,[],[f20980]) ).
thf(f20984,plain,
( spl2_143
| ~ spl2_48
| spl2_161 ),
inference(avatar_split_clause,[],[f20982,f4996,f795,f4468]) ).
thf(f21020,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_296 ),
inference(constrained_superposition,[],[f4703,f12709]) ).
thf(f21032,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f21020]) ).
thf(f21033,plain,
( $false
| ~ spl2_147
| ~ spl2_296
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f21032,f16011]) ).
thf(f21034,plain,
( ~ spl2_147
| ~ spl2_296
| ~ spl2_389 ),
inference(avatar_contradiction_clause,[],[f21033]) ).
thf(f21060,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f29,f4997]) ).
thf(f21061,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f21060]) ).
thf(f21100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f93,f4372]) ).
thf(f21103,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f21100]) ).
thf(f21104,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f21103,f6221]) ).
thf(f21105,plain,
( spl2_169
| spl2_88
| ~ spl2_138
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f21104,f4393,f4371,f1434,f5147]) ).
thf(f21138,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_138
| ~ spl2_157 ),
inference(constrained_superposition,[],[f4973,f4372]) ).
thf(f21143,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_138
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f21138]) ).
thf(f21162,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_367
| ~ spl2_386 ),
inference(constrained_superposition,[],[f15245,f15976]) ).
thf(f21167,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_367
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f21162]) ).
thf(f21168,plain,
( $false
| ~ spl2_161
| ~ spl2_367
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f21167,f4997]) ).
thf(f21169,plain,
( ~ spl2_161
| ~ spl2_367
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f21168]) ).
thf(f21200,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_337
| ~ spl2_342 ),
inference(constrained_superposition,[],[f13713,f13769]) ).
thf(f21201,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_337 ),
inference(constrained_superposition,[],[f13713,f84]) ).
thf(f21203,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_337
| ~ spl2_352 ),
inference(constrained_superposition,[],[f13713,f14271]) ).
thf(f21208,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f21201]) ).
thf(f21209,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_337
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f21200]) ).
thf(f21213,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_337
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f21203]) ).
thf(f21214,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f21208,f2555]) ).
thf(f21215,plain,
( $false
| ~ spl2_56
| ~ spl2_337
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f21209,f2555]) ).
thf(f21216,plain,
( ~ spl2_56
| ~ spl2_337
| ~ spl2_342 ),
inference(avatar_contradiction_clause,[],[f21215]) ).
thf(f21217,plain,
( $false
| ~ spl2_54
| ~ spl2_337
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f21213,f1345]) ).
thf(f21218,plain,
( ~ spl2_54
| ~ spl2_337
| ~ spl2_352 ),
inference(avatar_contradiction_clause,[],[f21217]) ).
thf(f21219,plain,
( spl2_369
| ~ spl2_56
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f21214,f13712,f893,f15260]) ).
thf(f21235,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_342
| ~ spl2_376 ),
inference(constrained_superposition,[],[f15507,f13769]) ).
thf(f21236,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_376 ),
inference(constrained_superposition,[],[f15507,f84]) ).
thf(f21242,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f21236]) ).
thf(f21245,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_342
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f21235]) ).
thf(f21249,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_155
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f21242,f8393]) ).
thf(f21250,plain,
( $false
| ~ spl2_155
| ~ spl2_342
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f21245,f8393]) ).
thf(f21251,plain,
( ~ spl2_155
| ~ spl2_342
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f21250]) ).
thf(f21252,plain,
( spl2_369
| ~ spl2_155
| ~ spl2_376 ),
inference(avatar_split_clause,[],[f21249,f15506,f4966,f15260]) ).
thf(f21270,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_138
| ~ spl2_325 ),
inference(constrained_superposition,[],[f13483,f4372]) ).
thf(f21277,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f21270]) ).
thf(f21294,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_89
| ~ spl2_426 ),
inference(constrained_superposition,[],[f16897,f1439]) ).
thf(f21297,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_89
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f21294]) ).
thf(f21303,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_54
| ~ spl2_89
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f21297,f1345]) ).
thf(f21304,plain,
( $false
| ~ spl2_45
| ~ spl2_54
| ~ spl2_89
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f21303,f761]) ).
thf(f21305,plain,
( ~ spl2_45
| ~ spl2_54
| ~ spl2_89
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f21304]) ).
thf(f21346,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_387
| ~ spl2_417 ),
inference(constrained_superposition,[],[f16838,f15980]) ).
thf(f21349,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387
| ~ spl2_417 ),
inference(trivial_inequality_removal,[],[f21346]) ).
thf(f21422,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_360
| ~ spl2_393 ),
inference(constrained_superposition,[],[f16057,f15061]) ).
thf(f21427,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_360
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f21422]) ).
thf(f21429,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_360
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f21427,f761]) ).
thf(f21430,plain,
( $false
| ~ spl2_45
| ~ spl2_54
| ~ spl2_360
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f21429,f1345]) ).
thf(f21431,plain,
( ~ spl2_45
| ~ spl2_54
| ~ spl2_360
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f21430]) ).
thf(f21476,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155
| ~ spl2_387
| ~ spl2_417 ),
inference(forward_subsumption_resolution,[],[f21349,f8393]) ).
thf(f21485,plain,
( ~ spl2_180
| ~ spl2_155
| ~ spl2_387
| ~ spl2_417 ),
inference(avatar_split_clause,[],[f21476,f16837,f15979,f4966,f5694]) ).
thf(f21496,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f29,f4874]) ).
thf(f21497,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f21496]) ).
thf(f21584,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_141 ),
inference(constrained_superposition,[],[f4427,f48]) ).
thf(f21591,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f21584]) ).
thf(f21671,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_161 ),
inference(constrained_superposition,[],[f21061,f4355]) ).
thf(f21672,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161
| ~ spl2_386 ),
inference(constrained_superposition,[],[f21061,f15976]) ).
thf(f21673,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_161
| ~ spl2_180 ),
inference(constrained_superposition,[],[f21061,f5695]) ).
thf(f21675,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f21671]) ).
thf(f21677,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f21673]) ).
thf(f21680,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_161
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f21672]) ).
thf(f21682,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_89
| ~ spl2_133
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f21675,f1439]) ).
thf(f21683,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_161
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f21677,f761]) ).
thf(f21688,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_161
| ~ spl2_360
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f21680,f15061]) ).
thf(f21689,plain,
( spl2_196
| ~ spl2_89
| ~ spl2_133
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f21682,f4996,f4354,f1438,f6016]) ).
thf(f21690,plain,
( spl2_186
| ~ spl2_45
| ~ spl2_161
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f21683,f5694,f4996,f760,f5784]) ).
thf(f21691,plain,
( spl2_376
| ~ spl2_161
| ~ spl2_360
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f21688,f15975,f15060,f4996,f15506]) ).
thf(f21732,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_153
| ~ spl2_296 ),
inference(constrained_superposition,[],[f21497,f12709]) ).
thf(f21749,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_153
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f21732]) ).
thf(f21752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_153
| ~ spl2_296
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f21749,f14271]) ).
thf(f21753,plain,
( spl2_367
| ~ spl2_153
| ~ spl2_296
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f21752,f14270,f12708,f4866,f15244]) ).
thf(f21754,plain,
( ~ spl2_87
| ~ spl2_138
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f21143,f4972,f4371,f1431]) ).
thf(f21759,plain,
( spl2_196
| ~ spl2_89
| ~ spl2_133
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f21675,f4996,f4354,f1438,f6016]) ).
thf(f21766,plain,
( ~ spl2_181
| ~ spl2_168
| ~ spl2_138
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f21277,f13482,f4371,f5123,f5724]) ).
thf(f21851,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f29,f5124]) ).
thf(f21852,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f21851]) ).
thf(f21887,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_321 ),
inference(constrained_superposition,[],[f13453,f5695]) ).
thf(f21896,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f21887]) ).
thf(f21898,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155
| ~ spl2_180
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f21896,f8393]) ).
thf(f21899,plain,
( spl2_157
| ~ spl2_155
| ~ spl2_180
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f21898,f13452,f5694,f4966,f4972]) ).
thf(f21973,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_153 ),
inference(constrained_superposition,[],[f4703,f4874]) ).
thf(f21978,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f21973]) ).
thf(f21983,plain,
( $false
| ~ spl2_54
| ~ spl2_147
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f21978,f1345]) ).
thf(f21984,plain,
( ~ spl2_54
| ~ spl2_147
| ~ spl2_153 ),
inference(avatar_contradiction_clause,[],[f21983]) ).
thf(f22046,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_138
| ~ spl2_331 ),
inference(constrained_superposition,[],[f13531,f4372]) ).
thf(f22056,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_138
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f22046]) ).
thf(f22059,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_138
| ~ spl2_155
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f22056,f8393]) ).
thf(f22061,plain,
( $false
| ~ spl2_138
| ~ spl2_155
| ~ spl2_168
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f22059,f5124]) ).
thf(f22062,plain,
( ~ spl2_138
| ~ spl2_155
| ~ spl2_168
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f22061]) ).
thf(f22266,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_38 ),
inference(constrained_superposition,[],[f735,f28]) ).
thf(f22268,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_38 ),
inference(trivial_inequality_removal,[],[f22266]) ).
thf(f22270,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_38
| spl2_47 ),
inference(forward_subsumption_resolution,[],[f22268,f4303]) ).
thf(f22272,plain,
( spl2_52
| spl2_38
| spl2_47 ),
inference(avatar_split_clause,[],[f22270,f789,f734,f826]) ).
thf(f22476,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_348
| ~ spl2_386 ),
inference(constrained_superposition,[],[f14148,f15976]) ).
thf(f22480,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_348
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f22476]) ).
thf(f22486,plain,
( $false
| ~ spl2_168
| ~ spl2_348
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f22480,f5124]) ).
thf(f22487,plain,
( ~ spl2_168
| ~ spl2_348
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f22486]) ).
thf(f22489,plain,
( $false
| ~ spl2_388
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f15983,f16016]) ).
thf(f22490,plain,
( ~ spl2_388
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f22489]) ).
thf(f22516,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_387 ),
inference(constrained_superposition,[],[f93,f15980]) ).
thf(f22521,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f22516]) ).
thf(f22673,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_360 ),
inference(constrained_superposition,[],[f20886,f12709]) ).
thf(f22675,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_360
| ~ spl2_389 ),
inference(constrained_superposition,[],[f20886,f16011]) ).
thf(f22681,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f22673]) ).
thf(f22687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_360
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f22675]) ).
thf(f22688,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_89
| ~ spl2_296
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f22681,f1439]) ).
thf(f22690,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_360
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f22687,f761]) ).
thf(f22691,plain,
( spl2_409
| ~ spl2_89
| ~ spl2_296
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f22688,f15060,f12708,f1438,f16777]) ).
thf(f22692,plain,
( spl2_337
| ~ spl2_45
| ~ spl2_360
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f22690,f16010,f15060,f760,f13712]) ).
thf(f22694,plain,
( spl2_348
| spl2_169
| ~ spl2_342
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f22521,f15979,f13768,f5147,f14147]) ).
thf(f22780,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f93,f5695]) ).
thf(f22781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_168
| ~ spl2_180 ),
inference(constrained_superposition,[],[f21852,f5695]) ).
thf(f22782,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f29,f5695]) ).
thf(f22784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_168
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f22781]) ).
thf(f22785,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f22780]) ).
thf(f22786,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f22782]) ).
thf(f22821,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f111,f4358]) ).
thf(f22832,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f22821]) ).
thf(f22844,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f11422,f4369]) ).
thf(f22845,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_35
| ~ spl2_137 ),
inference(constrained_superposition,[],[f724,f4369]) ).
thf(f22847,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_137 ),
inference(constrained_superposition,[],[f62,f4369]) ).
thf(f22848,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f77,f4369]) ).
thf(f22850,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f186,f4369]) ).
thf(f22856,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f22850]) ).
thf(f22857,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f22848]) ).
thf(f22858,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f22844]) ).
thf(f22859,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f22847]) ).
thf(f22862,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_35
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f22845]) ).
thf(f22926,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f5108,f450]) ).
thf(f22931,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f22926]) ).
thf(f22999,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_316
| ~ spl2_428 ),
inference(constrained_superposition,[],[f12986,f16911]) ).
thf(f23003,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_316
| ~ spl2_428 ),
inference(trivial_inequality_removal,[],[f22999]) ).
thf(f23072,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_168
| ~ spl2_180 ),
inference(constrained_superposition,[],[f22786,f5124]) ).
thf(f23073,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_31
| ~ spl2_180 ),
inference(constrained_superposition,[],[f22786,f514]) ).
thf(f23076,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_31
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f23073]) ).
thf(f23079,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f23072]) ).
thf(f23085,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_308
| ~ spl2_387 ),
inference(constrained_superposition,[],[f12776,f15980]) ).
thf(f23090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f23085]) ).
thf(f23097,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_168
| ~ spl2_308
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f23090,f5124]) ).
thf(f23098,plain,
( spl2_376
| ~ spl2_168
| ~ spl2_308
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f23097,f15979,f12775,f5123,f15506]) ).
thf(f23099,plain,
( spl2_181
| ~ spl2_136
| ~ spl2_35
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f22862,f4368,f723,f4364,f5724]) ).
thf(f23103,plain,
( spl2_186
| ~ spl2_52
| ~ spl2_168
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f22784,f5694,f5123,f826,f5784]) ).
thf(f23104,plain,
( spl2_87
| ~ spl2_179
| spl2_140
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f22832,f4357,f4423,f5672,f1431]) ).
thf(f23110,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f22785,f8393]) ).
thf(f23111,plain,
( spl2_181
| ~ spl2_182
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f22931,f5107,f5727,f5724]) ).
thf(f23112,plain,
( ~ spl2_56
| spl2_157
| ~ spl2_168
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f23079,f5694,f5123,f4972,f893]) ).
thf(f23113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_31
| spl2_161
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f23076,f5787]) ).
thf(f23119,plain,
( spl2_76
| spl2_157
| ~ spl2_155
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f23110,f5694,f4966,f4972,f1192]) ).
thf(f23120,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| spl2_161
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f23113,f47]) ).
thf(f23121,plain,
( ~ spl2_56
| spl2_157
| spl2_159
| ~ spl2_31
| spl2_161
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f23120,f5694,f4996,f513,f4988,f4972,f893]) ).
thf(f23123,plain,
( ~ spl2_193
| spl2_153
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f21591,f4426,f4866,f5933]) ).
thf(f23124,plain,
( spl2_161
| ~ spl2_205
| spl2_167
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f22857,f4368,f5120,f6972,f4996]) ).
thf(f23125,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_316
| ~ spl2_428 ),
inference(forward_subsumption_resolution,[],[f23003,f47]) ).
thf(f23126,plain,
( ~ spl2_205
| spl2_171
| ~ spl2_2
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f22859,f4368,f61,f5198,f6972]) ).
thf(f23128,plain,
( ~ spl2_136
| spl2_180
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f22858,f4368,f5694,f4364]) ).
thf(f23129,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f22856,f47]) ).
thf(f23131,plain,
( spl2_143
| spl2_153
| spl2_331
| ~ spl2_316
| ~ spl2_428 ),
inference(avatar_split_clause,[],[f23125,f16910,f12985,f13530,f4866,f4468]) ).
thf(f23133,plain,
( spl2_161
| spl2_89
| spl2_167
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f23129,f4368,f5120,f1438,f4996]) ).
thf(f23259,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f29,f5733]) ).
thf(f23264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f23259]) ).
thf(f23303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_342 ),
inference(constrained_superposition,[],[f29,f13769]) ).
thf(f23306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f23303]) ).
thf(f23321,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f93,f4355]) ).
thf(f23322,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_133
| ~ spl2_168 ),
inference(constrained_superposition,[],[f21852,f4355]) ).
thf(f23324,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f23321]) ).
thf(f23327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f23322]) ).
thf(f23329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f23324,f8393]) ).
thf(f23331,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_87
| ~ spl2_133
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f23327,f4598]) ).
thf(f23332,plain,
( spl2_157
| spl2_156
| ~ spl2_133
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f23329,f4966,f4354,f4969,f4972]) ).
thf(f23334,plain,
( spl2_196
| ~ spl2_87
| ~ spl2_133
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f23331,f5123,f4354,f1431,f6016]) ).
thf(f23336,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_45
| ~ spl2_338 ),
inference(constrained_superposition,[],[f1256,f16007]) ).
thf(f23337,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_338 ),
inference(constrained_superposition,[],[f29,f16007]) ).
thf(f23338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f23337]) ).
thf(f23340,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f23336]) ).
thf(f23349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_296
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12986,f12709]) ).
thf(f23354,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_296
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f23349]) ).
thf(f23404,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_388 ),
inference(constrained_superposition,[],[f111,f15983]) ).
thf(f23423,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f23404]) ).
thf(f23445,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_338
| ~ spl2_348 ),
inference(constrained_superposition,[],[f14148,f16007]) ).
thf(f23454,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_338
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f23445]) ).
thf(f23475,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f6017,f84]) ).
thf(f23484,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f23475]) ).
thf(f23490,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_139
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f23484,f6221]) ).
thf(f23491,plain,
( spl2_169
| ~ spl2_139
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f23490,f6016,f4393,f5147]) ).
thf(f23550,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_129 ),
inference(constrained_superposition,[],[f4320,f84]) ).
thf(f23563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f23550]) ).
thf(f23629,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_87
| ~ spl2_426 ),
inference(constrained_superposition,[],[f16897,f4598]) ).
thf(f23631,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_426 ),
inference(constrained_superposition,[],[f16897,f514]) ).
thf(f23632,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f23631]) ).
thf(f23639,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_87
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f23629]) ).
thf(f23659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_135
| ~ spl2_321 ),
inference(constrained_superposition,[],[f13453,f4362]) ).
thf(f23671,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_135
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f23659]) ).
thf(f23676,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_135
| ~ spl2_139
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f23671,f6221]) ).
thf(f23677,plain,
( spl2_88
| ~ spl2_135
| ~ spl2_139
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f23676,f13452,f4393,f4361,f1434]) ).
thf(f23681,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_183
| ~ spl2_327 ),
inference(constrained_superposition,[],[f13494,f5733]) ).
thf(f23688,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_183
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f23681]) ).
thf(f23694,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_87
| ~ spl2_183
| ~ spl2_327 ),
inference(forward_subsumption_resolution,[],[f23688,f4598]) ).
thf(f23696,plain,
( spl2_147
| ~ spl2_87
| ~ spl2_183
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f23694,f13493,f5732,f1431,f4702]) ).
thf(f23715,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_296
| ~ spl2_316
| ~ spl2_389 ),
inference(constrained_superposition,[],[f23354,f16011]) ).
thf(f23723,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_296
| ~ spl2_316
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f23715]) ).
thf(f23738,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_120
| ~ spl2_183 ),
inference(constrained_superposition,[],[f23264,f3021]) ).
thf(f23746,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_120
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f23738]) ).
thf(f23748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f23746,f1256]) ).
thf(f23749,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f23748,f47]) ).
thf(f23750,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_120
| spl2_153
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f23749,f4867]) ).
thf(f23751,plain,
( spl2_422
| ~ spl2_45
| ~ spl2_120
| spl2_153
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f23750,f5732,f4866,f3020,f760,f16868]) ).
thf(f23754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_338
| ~ spl2_342 ),
inference(constrained_superposition,[],[f23306,f16007]) ).
thf(f23766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_338
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f23754]) ).
thf(f23846,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_120
| ~ spl2_338 ),
inference(constrained_superposition,[],[f23338,f3021]) ).
thf(f23853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_120
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f23846]) ).
thf(f23855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f23853,f1256]) ).
thf(f23856,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f23855,f47]) ).
thf(f23857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_338
| spl2_352 ),
inference(forward_subsumption_resolution,[],[f23856,f18939]) ).
thf(f23858,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_183
| ~ spl2_338
| spl2_352 ),
inference(constrained_superposition,[],[f23857,f5733]) ).
thf(f23864,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_120
| ~ spl2_183
| ~ spl2_338
| spl2_352 ),
inference(trivial_inequality_removal,[],[f23858]) ).
thf(f23870,plain,
( spl2_313
| spl2_147
| ~ spl2_45
| ~ spl2_120
| ~ spl2_183
| ~ spl2_338
| spl2_352 ),
inference(avatar_split_clause,[],[f23864,f14270,f13715,f5732,f3020,f760,f4702,f12811]) ).
thf(f23875,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f23632,f47]) ).
thf(f23878,plain,
( ~ spl2_52
| ~ spl2_56
| ~ spl2_87
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f23639,f16896,f1431,f893,f826]) ).
thf(f23879,plain,
( ~ spl2_135
| ~ spl2_52
| ~ spl2_296
| ~ spl2_316
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f23723,f16010,f12985,f12708,f826,f4361]) ).
thf(f23881,plain,
( ~ spl2_303
| spl2_167
| spl2_168
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f23423,f15982,f5123,f5120,f12743]) ).
thf(f23883,plain,
( spl2_58
| ~ spl2_56
| ~ spl2_338
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f23766,f13768,f13715,f893,f899]) ).
thf(f23885,plain,
( spl2_337
| ~ spl2_360
| ~ spl2_45
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f23340,f13715,f760,f15060,f13712]) ).
thf(f23886,plain,
( ~ spl2_52
| ~ spl2_338
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f23454,f14147,f13715,f826]) ).
thf(f23891,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_31
| spl2_89
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f23875,f7190]) ).
thf(f23893,plain,
( ~ spl2_52
| spl2_143
| ~ spl2_56
| ~ spl2_31
| spl2_89
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f23891,f16896,f1438,f513,f893,f4468,f826]) ).
thf(f23955,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f11422,f5148]) ).
thf(f23956,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_35
| ~ spl2_169 ),
inference(constrained_superposition,[],[f724,f5148]) ).
thf(f23966,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f23955]) ).
thf(f23971,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_35
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f23956]) ).
thf(f24128,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_129
| ~ spl2_345 ),
inference(constrained_superposition,[],[f4320,f14000]) ).
thf(f24132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_129
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f24128]) ).
thf(f24151,plain,
( spl2_17
| spl2_76
| ~ spl2_9
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f23563,f4319,f117,f1192,f203]) ).
thf(f24152,plain,
( spl2_180
| ~ spl2_76
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f23966,f5147,f1192,f5694]) ).
thf(f24155,plain,
( ~ spl2_42
| spl2_41
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f18065,f61,f745,f748]) ).
thf(f24159,plain,
( ~ spl2_76
| spl2_181
| ~ spl2_35
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f23971,f5147,f723,f5724,f1192]) ).
thf(f24160,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| spl2_47
| ~ spl2_129
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f24132,f4303]) ).
thf(f24169,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_47
| ~ spl2_129
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f24160,f47]) ).
thf(f24170,plain,
( spl2_45
| ~ spl2_9
| spl2_17
| spl2_47
| ~ spl2_129
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f24169,f13999,f4319,f789,f203,f117,f760]) ).
thf(f24191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_45 ),
inference(constrained_superposition,[],[f1112,f479]) ).
thf(f24192,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_45 ),
inference(trivial_inequality_removal,[],[f24191]) ).
thf(f24194,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X1 ) )
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f24192,f47]) ).
thf(f24196,plain,
( spl2_51
| spl2_55
| spl2_45 ),
inference(avatar_split_clause,[],[f24194,f760,f856,f811]) ).
thf(f24221,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f11422,f4597]) ).
thf(f24260,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_146 ),
inference(duplicate_literal_removal,[],[f24221]) ).
thf(f24276,plain,
( spl2_72
| spl2_151
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f24260,f4596,f4812,f1083]) ).
thf(f24300,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_89
| ~ spl2_331 ),
inference(constrained_superposition,[],[f13531,f1439]) ).
thf(f24305,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_89
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f24300]) ).
thf(f24308,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_89
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f24305,f125]) ).
thf(f24309,plain,
( $false
| ~ spl2_9
| ~ spl2_11
| ~ spl2_89
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f24308,f118]) ).
thf(f24310,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_89
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f24309]) ).
thf(f24317,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f93,f1345]) ).
thf(f24322,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f24317]) ).
thf(f24325,plain,
( ( $true
= ( 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 ) ) ) ) ) )
| spl2_146 ),
inference(extensionality_resolution,[],[f82,f15891]) ).
thf(f24326,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_146 ),
inference(extensionality_resolution,[],[f82,f15891]) ).
thf(f24329,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_146 ),
inference(extensionality_resolution,[],[f50,f15891]) ).
thf(f24330,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_146 ),
inference(extensionality_resolution,[],[f50,f15891]) ).
thf(f24333,plain,
( spl2_387
| spl2_388
| spl2_146 ),
inference(avatar_split_clause,[],[f24325,f4596,f15982,f15979]) ).
thf(f24334,plain,
( spl2_386
| spl2_385
| spl2_146 ),
inference(avatar_split_clause,[],[f24326,f4596,f15972,f15975]) ).
thf(f24335,plain,
( spl2_138
| spl2_137
| spl2_146 ),
inference(avatar_split_clause,[],[f24330,f4596,f4368,f4371]) ).
thf(f24336,plain,
( spl2_134
| spl2_133
| spl2_146 ),
inference(avatar_split_clause,[],[f24329,f4596,f4354,f4357]) ).
thf(f24340,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f186,f1193]) ).
thf(f24341,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f214,f1193]) ).
thf(f24344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f23,f1193]) ).
thf(f24345,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f24341]) ).
thf(f24346,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f24344]) ).
thf(f24351,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f24340]) ).
thf(f24353,plain,
( spl2_55
| spl2_80
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f24345,f1192,f1226,f856]) ).
thf(f24354,plain,
( spl2_10
| spl2_81
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f24346,f1192,f1230,f121]) ).
thf(f24423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f93,f5199]) ).
thf(f24424,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f29,f5199]) ).
thf(f24425,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f24423]) ).
thf(f24426,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f24424]) ).
thf(f24433,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_136 ),
inference(constrained_superposition,[],[f186,f4365]) ).
thf(f24442,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f24433]) ).
thf(f24449,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45
| ~ spl2_136 ),
inference(forward_subsumption_resolution,[],[f24442,f1112]) ).
thf(f24452,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_45
| spl2_89
| ~ spl2_136 ),
inference(forward_subsumption_resolution,[],[f24449,f7190]) ).
thf(f24453,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| spl2_45
| spl2_89
| ~ spl2_136 ),
inference(forward_subsumption_resolution,[],[f24452,f47]) ).
thf(f24454,plain,
( spl2_36
| spl2_45
| spl2_89
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f24453,f4364,f1438,f760,f726]) ).
thf(f24456,plain,
( spl2_169
| spl2_17
| ~ spl2_11
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f24425,f5198,f124,f203,f5147]) ).
thf(f24457,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_76 ),
inference(forward_subsumption_resolution,[],[f24351,f47]) ).
thf(f24459,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_45
| ~ spl2_76 ),
inference(forward_subsumption_resolution,[],[f24457,f1112]) ).
thf(f24460,plain,
( spl2_11
| spl2_36
| spl2_45
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f24459,f1192,f760,f726,f124]) ).
thf(f24475,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| spl2_52 ),
inference(constrained_superposition,[],[f1205,f479]) ).
thf(f24478,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_52 ),
inference(trivial_inequality_removal,[],[f24475]) ).
thf(f24480,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_47
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f24478,f4303]) ).
thf(f24481,plain,
( spl2_82
| spl2_55
| spl2_47
| spl2_52 ),
inference(avatar_split_clause,[],[f24480,f826,f789,f856,f1246]) ).
thf(f24509,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_72
| ~ spl2_129 ),
inference(constrained_superposition,[],[f4320,f3320]) ).
thf(f24512,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_72
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f24509]) ).
thf(f24515,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_54
| ~ spl2_72
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f24512,f1345]) ).
thf(f24516,plain,
( spl2_53
| ~ spl2_54
| ~ spl2_72
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f24515,f4319,f1083,f846,f843]) ).
thf(f24517,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_129
| ~ spl2_135 ),
inference(constrained_superposition,[],[f4320,f4362]) ).
thf(f24523,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f24517]) ).
thf(f24586,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f93,f5733]) ).
thf(f24589,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f24586]) ).
thf(f24613,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_120
| spl2_342 ),
inference(constrained_superposition,[],[f17972,f3021]) ).
thf(f24616,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| spl2_342 ),
inference(trivial_inequality_removal,[],[f24613]) ).
thf(f24623,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_35
| ~ spl2_369 ),
inference(constrained_superposition,[],[f724,f15261]) ).
thf(f24625,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_369 ),
inference(constrained_superposition,[],[f62,f15261]) ).
thf(f24638,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f24625]) ).
thf(f24640,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_35
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f24623]) ).
thf(f24645,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_35
| ~ spl2_76
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f24640,f1193]) ).
thf(f24646,plain,
( spl2_338
| ~ spl2_35
| ~ spl2_76
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f24645,f15260,f1192,f723,f13715]) ).
thf(f24662,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_134 ),
inference(constrained_superposition,[],[f62,f4358]) ).
thf(f24663,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f77,f4358]) ).
thf(f24676,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f24663]) ).
thf(f24678,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f24662]) ).
thf(f24689,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_338 ),
inference(constrained_superposition,[],[f93,f16007]) ).
thf(f24692,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f24689]) ).
thf(f24758,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_2
| ~ spl2_385 ),
inference(constrained_superposition,[],[f62,f15973]) ).
thf(f24769,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_2
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f24758]) ).
thf(f24779,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| spl2_52 ),
inference(constrained_superposition,[],[f1205,f514]) ).
thf(f24780,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_31
| spl2_87 ),
inference(constrained_superposition,[],[f1432,f514]) ).
thf(f24783,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_31
| spl2_87 ),
inference(trivial_inequality_removal,[],[f24780]) ).
thf(f24786,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| spl2_52 ),
inference(trivial_inequality_removal,[],[f24779]) ).
thf(f24787,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_31
| spl2_87
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f24783,f7190]) ).
thf(f24788,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| spl2_45
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f24786,f1112]) ).
thf(f24789,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| spl2_87
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f24787,f47]) ).
thf(f24790,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| spl2_45
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f24788,f47]) ).
thf(f24791,plain,
( spl2_143
| ~ spl2_31
| spl2_87
| spl2_89 ),
inference(avatar_split_clause,[],[f24789,f1438,f1431,f513,f4468]) ).
thf(f24792,plain,
( $false
| ~ spl2_31
| spl2_45
| spl2_47
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f24790,f4303]) ).
thf(f24793,plain,
( ~ spl2_31
| spl2_45
| spl2_47
| spl2_52 ),
inference(avatar_contradiction_clause,[],[f24792]) ).
thf(f24794,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_387 ),
inference(constrained_superposition,[],[f5310,f15980]) ).
thf(f24797,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f24794]) ).
thf(f24800,plain,
( $false
| ~ spl2_173
| ~ spl2_360
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f24797,f15061]) ).
thf(f24801,plain,
( ~ spl2_173
| ~ spl2_360
| ~ spl2_387 ),
inference(avatar_contradiction_clause,[],[f24800]) ).
thf(f24816,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_137
| ~ spl2_172 ),
inference(constrained_superposition,[],[f5256,f4369]) ).
thf(f24830,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_137
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f24816]) ).
thf(f24841,plain,
( ~ spl2_162
| ~ spl2_137
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f24830,f5255,f4368,f5100]) ).
thf(f24868,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_388 ),
inference(constrained_superposition,[],[f23,f15983]) ).
thf(f24874,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f24868]) ).
thf(f24881,plain,
( spl2_392
| spl2_390
| ~ spl2_388 ),
inference(avatar_split_clause,[],[f24874,f15982,f16015,f16025]) ).
thf(f24983,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_338
| ~ spl2_409 ),
inference(constrained_superposition,[],[f16778,f16007]) ).
thf(f24991,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_338
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f24983]) ).
thf(f24993,plain,
( $false
| ~ spl2_183
| ~ spl2_338
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f24991,f5733]) ).
thf(f24994,plain,
( ~ spl2_183
| ~ spl2_338
| ~ spl2_409 ),
inference(avatar_contradiction_clause,[],[f24993]) ).
thf(f25051,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_338
| ~ spl2_376 ),
inference(constrained_superposition,[],[f15507,f16007]) ).
thf(f25058,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_338
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f25051]) ).
thf(f25061,plain,
( $false
| ~ spl2_181
| ~ spl2_338
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f25058,f5725]) ).
thf(f25062,plain,
( ~ spl2_181
| ~ spl2_338
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f25061]) ).
thf(f25069,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_392 ),
inference(constrained_superposition,[],[f16026,f450]) ).
thf(f25071,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_369
| ~ spl2_392 ),
inference(constrained_superposition,[],[f16026,f15261]) ).
thf(f25073,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_369
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f25071]) ).
thf(f25077,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f25069]) ).
thf(f25080,plain,
( $false
| ~ spl2_169
| ~ spl2_369
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f25073,f5148]) ).
thf(f25081,plain,
( ~ spl2_169
| ~ spl2_369
| ~ spl2_392 ),
inference(avatar_contradiction_clause,[],[f25080]) ).
thf(f25082,plain,
( spl2_89
| ~ spl2_218
| spl2_140
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f24676,f4357,f4423,f8103,f1438]) ).
thf(f25083,plain,
( ~ spl2_218
| spl2_153
| ~ spl2_2
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f24678,f4357,f61,f4866,f8103]) ).
thf(f25084,plain,
( spl2_154
| ~ spl2_153
| ~ spl2_129
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f24523,f4361,f4319,f4866,f4871]) ).
thf(f25085,plain,
( ~ spl2_56
| spl2_156
| spl2_58
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f24589,f5732,f899,f4969,f893]) ).
thf(f25086,plain,
( spl2_17
| spl2_76
| ~ spl2_11
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f24322,f846,f124,f1192,f203]) ).
thf(f25087,plain,
( spl2_352
| ~ spl2_23
| ~ spl2_2
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f24638,f15260,f61,f277,f14270]) ).
thf(f25088,plain,
( ~ spl2_218
| spl2_352
| ~ spl2_2
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f24769,f15972,f61,f14270,f8103]) ).
thf(f25089,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_120
| spl2_342 ),
inference(forward_subsumption_resolution,[],[f24616,f47]) ).
thf(f25096,plain,
( spl2_343
| spl2_352
| spl2_11
| ~ spl2_120
| spl2_342 ),
inference(avatar_split_clause,[],[f25089,f13768,f3020,f124,f14270,f13771]) ).
thf(f25146,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f186,f4970]) ).
thf(f25156,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f25146]) ).
thf(f25217,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_88
| ~ spl2_183 ),
inference(constrained_superposition,[],[f1435,f5733]) ).
thf(f25224,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_88
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f25217]) ).
thf(f25229,plain,
( $false
| ~ spl2_52
| ~ spl2_88
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f25224,f827]) ).
thf(f25230,plain,
( ~ spl2_52
| ~ spl2_88
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f25229]) ).
thf(f25231,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f24692,f2555]) ).
thf(f25235,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f25156,f47]) ).
thf(f25236,plain,
( spl2_369
| spl2_58
| ~ spl2_56
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f25231,f13715,f893,f899,f15260]) ).
thf(f25239,plain,
( spl2_11
| spl2_89
| spl2_140
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f25235,f4969,f4423,f1438,f124]) ).
thf(f25287,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_120
| spl2_155 ),
inference(constrained_superposition,[],[f4967,f3021]) ).
thf(f25292,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_120
| spl2_155 ),
inference(trivial_inequality_removal,[],[f25287]) ).
thf(f25299,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_169 ),
inference(constrained_superposition,[],[f62,f5148]) ).
thf(f25305,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f23,f5148]) ).
thf(f25307,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_2
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f25299]) ).
thf(f25314,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f25305]) ).
thf(f25317,plain,
( spl2_172
| spl2_10
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f25314,f5147,f121,f5255]) ).
thf(f25378,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_120
| spl2_389 ),
inference(constrained_superposition,[],[f16599,f3021]) ).
thf(f25381,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_120
| spl2_389 ),
inference(trivial_inequality_removal,[],[f25378]) ).
thf(f25384,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_54
| ~ spl2_120
| spl2_389 ),
inference(forward_subsumption_resolution,[],[f25381,f847]) ).
thf(f25387,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_54
| ~ spl2_120
| spl2_389 ),
inference(forward_subsumption_resolution,[],[f25384,f47]) ).
thf(f25388,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_54
| ~ spl2_120
| spl2_360
| spl2_389 ),
inference(forward_subsumption_resolution,[],[f25387,f16053]) ).
thf(f25389,plain,
( spl2_306
| spl2_54
| ~ spl2_120
| spl2_360
| spl2_389 ),
inference(avatar_split_clause,[],[f25388,f16010,f15060,f3020,f846,f12759]) ).
thf(f25390,plain,
( spl2_338
| ~ spl2_479
| ~ spl2_392 ),
inference(avatar_split_clause,[],[f25077,f16025,f19867,f13715]) ).
thf(f25393,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_11 ),
inference(constrained_superposition,[],[f201,f479]) ).
thf(f25395,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f25393]) ).
thf(f25397,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f25395,f47]) ).
thf(f25398,plain,
( spl2_29
| spl2_31
| spl2_11 ),
inference(avatar_split_clause,[],[f25397,f124,f513,f484]) ).
thf(f25400,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_9 ),
inference(constrained_superposition,[],[f16996,f479]) ).
thf(f25402,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 ) )
| spl2_9 ),
inference(trivial_inequality_removal,[],[f25400]) ).
thf(f25404,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 ) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f25402,f47]) ).
thf(f25405,plain,
( spl2_31
| spl2_33
| spl2_9 ),
inference(avatar_split_clause,[],[f25404,f117,f631,f513]) ).
thf(f25537,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_219 ),
inference(constrained_superposition,[],[f8112,f50]) ).
thf(f25540,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_219 ),
inference(trivial_inequality_removal,[],[f25537]) ).
thf(f25544,plain,
( spl2_143
| spl2_180
| spl2_219 ),
inference(avatar_split_clause,[],[f25540,f8111,f5694,f4468]) ).
thf(f25547,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f29,f5725]) ).
thf(f25548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f25547]) ).
thf(f25551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f29,f5695]) ).
thf(f25552,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f25551]) ).
thf(f25562,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f11422,f4358]) ).
thf(f25563,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_35
| ~ spl2_134 ),
inference(constrained_superposition,[],[f724,f4358]) ).
thf(f25572,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f23,f4358]) ).
thf(f25574,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f25572]) ).
thf(f25578,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_35
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f25563]) ).
thf(f25580,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f25562]) ).
thf(f25584,plain,
( spl2_164
| spl2_167
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f25574,f4357,f5120,f5107]) ).
thf(f25596,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f23,f4369]) ).
thf(f25606,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f25596]) ).
thf(f25608,plain,
( spl2_140
| spl2_164
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f25606,f4368,f5107,f4423]) ).
thf(f25610,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_120
| spl2_338 ),
inference(constrained_superposition,[],[f13716,f3021]) ).
thf(f25613,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_120
| spl2_338 ),
inference(trivial_inequality_removal,[],[f25610]) ).
thf(f25640,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_134
| ~ spl2_176 ),
inference(constrained_superposition,[],[f5439,f4358]) ).
thf(f25641,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_134
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f25640]) ).
thf(f25647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f93,f12709]) ).
thf(f25649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f25647]) ).
thf(f25651,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f25649,f13769]) ).
thf(f25652,plain,
( spl2_348
| spl2_156
| ~ spl2_296
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f25651,f13768,f12708,f4969,f14147]) ).
thf(f25671,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_157
| ~ spl2_181 ),
inference(constrained_superposition,[],[f4973,f5725]) ).
thf(f25679,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_157
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f25671]) ).
thf(f25682,plain,
( $false
| ~ spl2_52
| ~ spl2_157
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f25679,f827]) ).
thf(f25683,plain,
( ~ spl2_52
| ~ spl2_157
| ~ spl2_181 ),
inference(avatar_contradiction_clause,[],[f25682]) ).
thf(f25684,plain,
( ~ spl2_179
| ~ spl2_134
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f25641,f5438,f4357,f5672]) ).
thf(f25686,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_120
| spl2_168 ),
inference(constrained_superposition,[],[f6717,f3021]) ).
thf(f25690,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_120
| spl2_168 ),
inference(trivial_inequality_removal,[],[f25686]) ).
thf(f25696,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f5256,f48]) ).
thf(f25699,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f5256,f450]) ).
thf(f25705,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f25699]) ).
thf(f25707,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f25696]) ).
thf(f25822,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_196 ),
inference(constrained_superposition,[],[f6017,f5199]) ).
thf(f25826,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f25822]) ).
thf(f25832,plain,
( $false
| ~ spl2_153
| ~ spl2_171
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f25826,f4874]) ).
thf(f25833,plain,
( ~ spl2_153
| ~ spl2_171
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f25832]) ).
thf(f25878,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_171
| ~ spl2_181 ),
inference(constrained_superposition,[],[f24426,f5725]) ).
thf(f25886,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f25878]) ).
thf(f25967,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_56
| ~ spl2_490 ),
inference(constrained_superposition,[],[f20403,f2555]) ).
thf(f25974,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f25967]) ).
thf(f25979,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_56
| spl2_146
| ~ spl2_490 ),
inference(forward_subsumption_resolution,[],[f25974,f15891]) ).
thf(f25982,plain,
( spl2_58
| ~ spl2_56
| spl2_146
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f25979,f20402,f4596,f893,f899]) ).
thf(f26050,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12986,f84]) ).
thf(f26060,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f26050]) ).
thf(f26120,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f25548,f5725]) ).
thf(f26130,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_181 ),
inference(duplicate_literal_removal,[],[f26120]) ).
thf(f26131,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f26130]) ).
thf(f26137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_161
| ~ spl2_180 ),
inference(constrained_superposition,[],[f25552,f4997]) ).
thf(f26139,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f26137]) ).
thf(f26148,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_308 ),
inference(constrained_superposition,[],[f12776,f12709]) ).
thf(f26149,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_308
| ~ spl2_389 ),
inference(constrained_superposition,[],[f12776,f16011]) ).
thf(f26153,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f26148]) ).
thf(f26157,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_308
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f26149]) ).
thf(f26159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_87
| ~ spl2_296
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f26153,f4598]) ).
thf(f26162,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_52
| ~ spl2_308
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f26157,f827]) ).
thf(f26163,plain,
( spl2_409
| ~ spl2_87
| ~ spl2_296
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f26159,f12775,f12708,f1431,f16777]) ).
thf(f26165,plain,
( spl2_337
| ~ spl2_52
| ~ spl2_308
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f26162,f16010,f12775,f826,f13712]) ).
thf(f26166,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_45
| ~ spl2_120
| spl2_338 ),
inference(forward_subsumption_resolution,[],[f25613,f1112]) ).
thf(f26170,plain,
( spl2_53
| ~ spl2_54
| ~ spl2_171
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f25886,f5724,f5198,f846,f843]) ).
thf(f26171,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_45
| ~ spl2_120
| spl2_338 ),
inference(forward_subsumption_resolution,[],[f26166,f47]) ).
thf(f26178,plain,
( spl2_306
| spl2_352
| spl2_45
| ~ spl2_120
| spl2_338 ),
inference(avatar_split_clause,[],[f26171,f13715,f3020,f760,f14270,f12759]) ).
thf(f26179,plain,
( ~ spl2_54
| spl2_173
| ~ spl2_161
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f26139,f5694,f4996,f5309,f846]) ).
thf(f26182,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_54 ),
inference(constrained_superposition,[],[f847,f479]) ).
thf(f26183,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| spl2_54 ),
inference(trivial_inequality_removal,[],[f26182]) ).
thf(f26185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f26183,f47]) ).
thf(f26187,plain,
( spl2_33
| spl2_51
| spl2_54 ),
inference(avatar_split_clause,[],[f26185,f846,f811,f631]) ).
thf(f26188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_308
| ~ spl2_360 ),
inference(constrained_superposition,[],[f12776,f15061]) ).
thf(f26189,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_360 ),
inference(constrained_superposition,[],[f29,f15061]) ).
thf(f26190,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f26188]) ).
thf(f26191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f26189]) ).
thf(f26267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_385 ),
inference(constrained_superposition,[],[f23,f15973]) ).
thf(f26274,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f26267]) ).
thf(f26280,plain,
( spl2_167
| spl2_392
| ~ spl2_385 ),
inference(avatar_split_clause,[],[f26274,f15972,f16025,f5120]) ).
thf(f26282,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_171
| ~ spl2_387 ),
inference(constrained_superposition,[],[f24426,f15980]) ).
thf(f26285,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_387 ),
inference(constrained_superposition,[],[f29,f15980]) ).
thf(f26289,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f26282]) ).
thf(f26290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f26285]) ).
thf(f26337,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_360
| ~ spl2_387 ),
inference(constrained_superposition,[],[f26191,f15980]) ).
thf(f26345,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_360
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f26337]) ).
thf(f26349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_161
| ~ spl2_360
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f26345,f4997]) ).
thf(f26350,plain,
( spl2_376
| ~ spl2_161
| ~ spl2_360
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f26349,f15979,f15060,f4996,f15506]) ).
thf(f26353,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_352
| ~ spl2_376 ),
inference(constrained_superposition,[],[f15507,f14271]) ).
thf(f26361,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_352
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f26353]) ).
thf(f26365,plain,
( $false
| ~ spl2_171
| ~ spl2_352
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f26361,f5199]) ).
thf(f26366,plain,
( ~ spl2_171
| ~ spl2_352
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f26365]) ).
thf(f26367,plain,
( spl2_183
| ~ spl2_219
| ~ spl2_35
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f25578,f4357,f723,f8111,f5732]) ).
thf(f26369,plain,
( ~ spl2_219
| spl2_135
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f25580,f4357,f4361,f8111]) ).
thf(f26372,plain,
( ~ spl2_9
| spl2_367
| ~ spl2_308
| ~ spl2_360 ),
inference(avatar_split_clause,[],[f26190,f15060,f12775,f15244,f117]) ).
thf(f26379,plain,
( ~ spl2_72
| spl2_95
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f26131,f5724,f1782,f1083]) ).
thf(f26380,plain,
( spl2_367
| ~ spl2_352
| ~ spl2_171
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f26289,f15979,f5198,f14270,f15244]) ).
thf(f26389,plain,
( spl2_171
| ~ spl2_13
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f25707,f5255,f142,f5198]) ).
thf(f26390,plain,
( spl2_331
| spl2_156
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f26060,f12985,f4969,f13530]) ).
thf(f26392,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_120
| spl2_155 ),
inference(forward_subsumption_resolution,[],[f25292,f47]) ).
thf(f26394,plain,
( ~ spl2_23
| spl2_171
| ~ spl2_2
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f25307,f5147,f61,f5198,f277]) ).
thf(f26395,plain,
( spl2_11
| spl2_171
| spl2_159
| ~ spl2_120
| spl2_155 ),
inference(avatar_split_clause,[],[f26392,f4966,f3020,f4988,f5198,f124]) ).
thf(f26402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f29,f125]) ).
thf(f26403,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f26402]) ).
thf(f26429,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f93,f4874]) ).
thf(f26430,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f29,f4874]) ).
thf(f26431,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f26429]) ).
thf(f26432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f26430]) ).
thf(f26434,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f26431,f125]) ).
thf(f26435,plain,
( spl2_17
| spl2_156
| ~ spl2_11
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f26434,f4866,f124,f4969,f203]) ).
thf(f26466,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f214,f4970]) ).
thf(f26469,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f23,f4970]) ).
thf(f26470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f26466]) ).
thf(f26474,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f26469]) ).
thf(f26480,plain,
( spl2_149
| spl2_175
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f26470,f4969,f5434,f4719]) ).
thf(f26481,plain,
( spl2_176
| spl2_10
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f26474,f4969,f121,f5438]) ).
thf(f26491,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_139 ),
inference(constrained_superposition,[],[f4394,f614]) ).
thf(f26495,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_139 ),
inference(trivial_inequality_removal,[],[f26491]) ).
thf(f26497,plain,
( spl2_144
| spl2_143
| spl2_139 ),
inference(avatar_split_clause,[],[f26495,f4393,f4468,f4471]) ).
thf(f26499,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_136 ),
inference(constrained_superposition,[],[f111,f4365]) ).
thf(f26507,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_136 ),
inference(constrained_superposition,[],[f23,f4365]) ).
thf(f26512,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f26507]) ).
thf(f26515,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f26499]) ).
thf(f26518,plain,
( spl2_141
| spl2_140
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f26512,f4364,f4423,f4426]) ).
thf(f26539,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_348
| ~ spl2_352 ),
inference(constrained_superposition,[],[f14148,f14271]) ).
thf(f26540,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_352 ),
inference(constrained_superposition,[],[f93,f14271]) ).
thf(f26542,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f26540]) ).
thf(f26544,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_348
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f26539]) ).
thf(f26547,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f26542,f125]) ).
thf(f26549,plain,
( $false
| ~ spl2_9
| ~ spl2_348
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f26544,f118]) ).
thf(f26550,plain,
( ~ spl2_9
| ~ spl2_348
| ~ spl2_352 ),
inference(avatar_contradiction_clause,[],[f26549]) ).
thf(f26551,plain,
( spl2_17
| spl2_369
| ~ spl2_11
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f26547,f14270,f124,f15260,f203]) ).
thf(f26560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_161 ),
inference(constrained_superposition,[],[f5787,f479]) ).
thf(f26562,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| spl2_161 ),
inference(trivial_inequality_removal,[],[f26560]) ).
thf(f26564,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f26562,f47]) ).
thf(f26565,plain,
( spl2_174
| spl2_166
| spl2_161 ),
inference(avatar_split_clause,[],[f26564,f4996,f5114,f5399]) ).
thf(f26600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_369 ),
inference(constrained_superposition,[],[f23,f15261]) ).
thf(f26609,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f26600]) ).
thf(f26612,plain,
( spl2_406
| spl2_10
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f26609,f15260,f121,f16640]) ).
thf(f26629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_133
| ~ spl2_180 ),
inference(constrained_superposition,[],[f25552,f4355]) ).
thf(f26631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f29,f4355]) ).
thf(f26635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f26631]) ).
thf(f26636,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f26629]) ).
thf(f26637,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_181 ),
inference(constrained_superposition,[],[f25548,f4372]) ).
thf(f26640,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f29,f4372]) ).
thf(f26642,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f26637]) ).
thf(f26644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f26640]) ).
thf(f26645,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_58
| ~ spl2_389 ),
inference(constrained_superposition,[],[f900,f16011]) ).
thf(f26646,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_321
| ~ spl2_389 ),
inference(constrained_superposition,[],[f13453,f16011]) ).
thf(f26647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_389 ),
inference(constrained_superposition,[],[f93,f16011]) ).
thf(f26652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_321
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f26646]) ).
thf(f26653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f26647]) ).
thf(f26654,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_58
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f26645]) ).
thf(f26656,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f5439,f48]) ).
thf(f26659,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f5439,f450]) ).
thf(f26661,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f26659]) ).
thf(f26665,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f26656]) ).
thf(f26675,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_120
| spl2_404 ),
inference(constrained_superposition,[],[f16602,f3021]) ).
thf(f26678,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_120
| spl2_404 ),
inference(trivial_inequality_removal,[],[f26675]) ).
thf(f26695,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_367 ),
inference(constrained_superposition,[],[f15245,f84]) ).
thf(f26702,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f26695]) ).
thf(f26707,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_386 ),
inference(constrained_superposition,[],[f25552,f15976]) ).
thf(f26708,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_386
| ~ spl2_454 ),
inference(constrained_superposition,[],[f18327,f15976]) ).
thf(f26710,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f26707]) ).
thf(f26715,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_386
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f26708]) ).
thf(f26730,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_196
| ~ spl2_387 ),
inference(constrained_superposition,[],[f6017,f15980]) ).
thf(f26737,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_196
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f26730]) ).
thf(f26742,plain,
( $false
| ~ spl2_196
| ~ spl2_296
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f26737,f12709]) ).
thf(f26743,plain,
( ~ spl2_196
| ~ spl2_296
| ~ spl2_387 ),
inference(avatar_contradiction_clause,[],[f26742]) ).
thf(f26788,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_153 ),
inference(constrained_superposition,[],[f26432,f4355]) ).
thf(f26795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_133
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f26788]) ).
thf(f26805,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_138
| ~ spl2_426 ),
inference(constrained_superposition,[],[f16897,f4372]) ).
thf(f26810,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f26805]) ).
thf(f26813,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_181
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f26810,f5725]) ).
thf(f26814,plain,
( $false
| ~ spl2_138
| ~ spl2_180
| ~ spl2_181
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f26813,f5695]) ).
thf(f26815,plain,
( ~ spl2_138
| ~ spl2_180
| ~ spl2_181
| ~ spl2_426 ),
inference(avatar_contradiction_clause,[],[f26814]) ).
thf(f26990,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342
| ~ spl2_345 ),
inference(constrained_superposition,[],[f17972,f14000]) ).
thf(f27009,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f26990]) ).
thf(f27021,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_342
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f27009,f47]) ).
thf(f27025,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342
| ~ spl2_345
| spl2_360 ),
inference(forward_subsumption_resolution,[],[f27021,f16053]) ).
thf(f27029,plain,
( spl2_343
| spl2_342
| ~ spl2_345
| spl2_360 ),
inference(avatar_split_clause,[],[f27025,f15060,f13999,f13768,f13771]) ).
thf(f27064,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_386 ),
inference(constrained_superposition,[],[f26635,f15976]) ).
thf(f27066,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_133
| ~ spl2_180 ),
inference(constrained_superposition,[],[f26635,f5695]) ).
thf(f27069,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f27064]) ).
thf(f27070,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_133
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f27066]) ).
thf(f27135,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_296
| ~ spl2_387 ),
inference(constrained_superposition,[],[f26290,f12709]) ).
thf(f27136,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_387
| ~ spl2_389 ),
inference(constrained_superposition,[],[f26290,f16011]) ).
thf(f27140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f27135]) ).
thf(f27141,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_387
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f27136]) ).
thf(f27148,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_296
| ~ spl2_387 ),
inference(forward_subsumption_resolution,[],[f27140,f4372]) ).
thf(f27149,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_181
| ~ spl2_387
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f27141,f5725]) ).
thf(f27150,plain,
( spl2_409
| ~ spl2_138
| ~ spl2_296
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f27148,f15979,f12708,f4371,f16777]) ).
thf(f27151,plain,
( spl2_337
| ~ spl2_181
| ~ spl2_387
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f27149,f16010,f15979,f5724,f13712]) ).
thf(f27152,plain,
( spl2_348
| ~ spl2_342
| ~ spl2_321
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f26652,f16010,f13452,f13768,f14147]) ).
thf(f27157,plain,
( spl2_36
| ~ spl2_162
| spl2_52
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f26515,f4364,f826,f5100,f726]) ).
thf(f27158,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_386
| ~ spl2_389
| ~ spl2_454 ),
inference(forward_subsumption_resolution,[],[f26715,f16011]) ).
thf(f27159,plain,
( ~ spl2_293
| ~ spl2_58
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f26654,f16010,f899,f12691]) ).
thf(f27160,plain,
( spl2_186
| ~ spl2_183
| ~ spl2_133
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f27070,f5694,f4354,f5732,f5784]) ).
thf(f27161,plain,
( ~ spl2_38
| spl2_183
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f26661,f5438,f5732,f734]) ).
thf(f27162,plain,
( spl2_147
| ~ spl2_183
| ~ spl2_138
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f26642,f5724,f4371,f5732,f4702]) ).
thf(f27164,plain,
( spl2_376
| ~ spl2_296
| ~ spl2_133
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f27069,f15975,f4354,f12708,f15506]) ).
thf(f27165,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_76
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f26653,f20524]) ).
thf(f27177,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f26702,f125]) ).
thf(f27180,plain,
( ~ spl2_171
| spl2_173
| ~ spl2_133
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f26795,f4866,f4354,f5309,f5198]) ).
thf(f27181,plain,
( ~ spl2_338
| ~ spl2_386
| ~ spl2_389
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f27158,f18326,f16010,f15975,f13715]) ).
thf(f27183,plain,
( ~ spl2_342
| spl2_348
| spl2_76
| ~ spl2_389 ),
inference(avatar_split_clause,[],[f27165,f16010,f1192,f14147,f13768]) ).
thf(f27184,plain,
( spl2_369
| ~ spl2_11
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f27177,f15244,f124,f15260]) ).
thf(f27194,plain,
( ~ spl2_38
| spl2_181
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f25705,f5255,f5724,f734]) ).
thf(f27195,plain,
( spl2_153
| ~ spl2_13
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f26665,f5438,f142,f4866]) ).
thf(f27196,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| spl2_404 ),
inference(forward_subsumption_resolution,[],[f26678,f47]) ).
thf(f27197,plain,
( spl2_376
| ~ spl2_389
| ~ spl2_180
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f26710,f15975,f5694,f16010,f15506]) ).
thf(f27198,plain,
( spl2_196
| ~ spl2_135
| ~ spl2_133
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f26636,f5694,f4354,f4361,f6016]) ).
thf(f27200,plain,
( spl2_89
| spl2_313
| spl2_352
| ~ spl2_120
| spl2_404 ),
inference(avatar_split_clause,[],[f27196,f16601,f3020,f14270,f12811,f1438]) ).
thf(f27225,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( sK1 = X1 )
| ( $true != $true )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_153 ),
inference(constrained_superposition,[],[f4867,f479]) ).
thf(f27227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( sK1 = X0 ) )
| spl2_153 ),
inference(trivial_inequality_removal,[],[f27225]) ).
thf(f27229,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| spl2_153 ),
inference(forward_subsumption_resolution,[],[f27227,f47]) ).
thf(f27230,plain,
( spl2_148
| spl2_33
| spl2_153 ),
inference(avatar_split_clause,[],[f27229,f4866,f631,f4716]) ).
thf(f27231,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_87
| ~ spl2_120 ),
inference(constrained_superposition,[],[f1432,f3021]) ).
thf(f27232,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_87 ),
inference(constrained_superposition,[],[f1432,f614]) ).
thf(f27235,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_87
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f27231]) ).
thf(f27236,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_87 ),
inference(trivial_inequality_removal,[],[f27232]) ).
thf(f27238,plain,
( spl2_143
| spl2_152
| spl2_87 ),
inference(avatar_split_clause,[],[f27236,f1431,f4840,f4468]) ).
thf(f27242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_139 ),
inference(constrained_superposition,[],[f26403,f6221]) ).
thf(f27248,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f27242]) ).
thf(f27252,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_138
| ~ spl2_171 ),
inference(constrained_superposition,[],[f26644,f5199]) ).
thf(f27258,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f27252]) ).
thf(f27262,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f93,f4362]) ).
thf(f27266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f27262]) ).
thf(f27272,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_135
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f27266,f6221]) ).
thf(f27274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_76
| ~ spl2_135
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f27272,f20524]) ).
thf(f27275,plain,
( spl2_88
| spl2_76
| ~ spl2_135
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f27274,f4393,f4361,f1192,f1434]) ).
thf(f27284,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_120
| spl2_183 ),
inference(constrained_superposition,[],[f5988,f3021]) ).
thf(f27288,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| spl2_183 ),
inference(trivial_inequality_removal,[],[f27284]) ).
thf(f27291,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_45
| ~ spl2_120
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f27288,f1112]) ).
thf(f27294,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_45
| ~ spl2_120
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f27291,f47]) ).
thf(f27295,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_45
| ~ spl2_120
| spl2_146
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f27294,f15891]) ).
thf(f27298,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f27235,f47]) ).
thf(f27299,plain,
( ~ spl2_89
| spl2_88
| ~ spl2_11
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f27248,f4393,f124,f1434,f1438]) ).
thf(f27300,plain,
( spl2_153
| spl2_45
| ~ spl2_120
| spl2_146
| spl2_183 ),
inference(avatar_split_clause,[],[f27295,f5732,f4596,f3020,f760,f4866]) ).
thf(f27301,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| spl2_161
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f25690,f5787]) ).
thf(f27302,plain,
( spl2_154
| ~ spl2_89
| ~ spl2_138
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f27258,f5198,f4371,f1438,f4871]) ).
thf(f27303,plain,
( spl2_89
| spl2_9
| spl2_143
| spl2_87
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f27298,f3020,f1431,f4468,f117,f1438]) ).
thf(f27304,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_120
| spl2_161
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f27301,f47]) ).
thf(f27305,plain,
( spl2_9
| spl2_159
| ~ spl2_120
| spl2_161
| spl2_168 ),
inference(avatar_split_clause,[],[f27304,f5123,f4996,f3020,f4988,f117]) ).
cnf(s3,plain,
( spl2_5
| ~ spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f106]) ).
cnf(s5,plain,
( spl2_8
| spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f126]) ).
cnf(s7,plain,
( spl2_9
| spl2_13 ),
inference(sat_conversion,[],[f149]) ).
cnf(s11,plain,
( spl2_3
| spl2_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s12,plain,
( ~ spl2_3
| spl2_7
| spl2_17 ),
inference(sat_conversion,[],[f249]) ).
cnf(s17,plain,
( ~ spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f290]) ).
cnf(s21,plain,
( spl2_11
| spl2_23 ),
inference(sat_conversion,[],[f301]) ).
cnf(s32,plain,
( ~ spl2_2
| ~ spl2_29
| spl2_31
| spl2_32 ),
inference(sat_conversion,[],[f538]) ).
cnf(s36,plain,
( spl2_35
| spl2_36 ),
inference(sat_conversion,[],[f728]) ).
cnf(s43,plain,
( spl2_42
| spl2_45 ),
inference(sat_conversion,[],[f768]) ).
cnf(s45,plain,
( ~ spl2_17
| ~ spl2_45
| spl2_46
| spl2_47 ),
inference(sat_conversion,[],[f791]) ).
cnf(s55,plain,
( ~ spl2_9
| ~ spl2_52
| spl2_53
| ~ spl2_54 ),
inference(sat_conversion,[],[f848]) ).
cnf(s56,plain,
( ~ spl2_17
| spl2_51
| ~ spl2_52
| spl2_55 ),
inference(sat_conversion,[],[f858]) ).
cnf(s61,plain,
( spl2_50
| spl2_54 ),
inference(sat_conversion,[],[f877]) ).
cnf(s76,plain,
( ~ spl2_39
| ~ spl2_52
| spl2_60 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s81,plain,
( ~ spl2_9
| ~ spl2_45
| ~ spl2_52
| spl2_53 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s86,plain,
( spl2_45
| spl2_51
| spl2_55 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s88,plain,
( spl2_45
| ~ spl2_55 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s99,plain,
( ~ spl2_8
| spl2_45
| spl2_52 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s103,plain,
( ~ spl2_50
| ~ spl2_58
| spl2_78 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s107,plain,
( ~ spl2_2
| spl2_54
| ~ spl2_58
| spl2_85 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s120,plain,
( ~ spl2_9
| ~ spl2_54
| ~ spl2_58 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s121,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s122,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s123,plain,
( ~ spl2_1
| spl2_33 ),
inference(sat_conversion,[],[f1480]) ).
cnf(s132,plain,
( ~ spl2_8
| spl2_48
| ~ spl2_85 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s152,plain,
( ~ spl2_8
| spl2_49
| ~ spl2_51
| ~ spl2_58 ),
inference(sat_conversion,[],[f2017]) ).
cnf(s153,plain,
( ~ spl2_81
| spl2_82 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s158,plain,
( ~ spl2_11
| ~ spl2_53
| spl2_76 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s210,plain,
( ~ spl2_10
| ~ spl2_76 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s212,plain,
( ~ spl2_10
| spl2_29 ),
inference(sat_conversion,[],[f2731]) ).
cnf(s220,plain,
( ~ spl2_11
| ~ spl2_45
| ~ spl2_52
| spl2_58 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s227,plain,
( ~ spl2_2
| ~ spl2_23
| spl2_54
| ~ spl2_76 ),
inference(sat_conversion,[],[f2770]) ).
cnf(s258,plain,
( ~ spl2_5
| ~ spl2_9 ),
inference(sat_conversion,[],[f2872]) ).
cnf(s259,plain,
( ~ spl2_3
| ~ spl2_5 ),
inference(sat_conversion,[],[f2874]) ).
cnf(s260,plain,
( ~ spl2_5
| ~ spl2_52 ),
inference(sat_conversion,[],[f2879]) ).
cnf(s261,plain,
( ~ spl2_5
| spl2_47
| ~ spl2_55 ),
inference(sat_conversion,[],[f2880]) ).
cnf(s262,plain,
( ~ spl2_5
| ~ spl2_8
| spl2_26 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s269,plain,
( spl2_33
| spl2_120 ),
inference(sat_conversion,[],[f3022]) ).
cnf(s271,plain,
( ~ spl2_45
| ~ spl2_119 ),
inference(sat_conversion,[],[f3042]) ).
cnf(s272,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_52 ),
inference(sat_conversion,[],[f3058]) ).
cnf(s273,plain,
( ~ spl2_17
| ~ spl2_45
| spl2_47
| ~ spl2_55 ),
inference(sat_conversion,[],[f3059]) ).
cnf(s274,plain,
( ~ spl2_45
| ~ spl2_54
| ~ spl2_55
| spl2_91 ),
inference(sat_conversion,[],[f3072]) ).
cnf(s282,plain,
( spl2_11
| ~ spl2_75
| spl2_124 ),
inference(sat_conversion,[],[f3126]) ).
cnf(s289,plain,
( spl2_56
| spl2_76 ),
inference(sat_conversion,[],[f3210]) ).
cnf(s290,plain,
( ~ spl2_55
| ~ spl2_56
| spl2_58
| spl2_75 ),
inference(sat_conversion,[],[f3211]) ).
cnf(s328,plain,
( ~ spl2_45
| ~ spl2_53
| ~ spl2_72 ),
inference(sat_conversion,[],[f3790]) ).
cnf(s330,plain,
( ~ spl2_45
| ~ spl2_72
| spl2_95 ),
inference(sat_conversion,[],[f3794]) ).
cnf(s331,plain,
( ~ spl2_52
| ~ spl2_72
| spl2_95 ),
inference(sat_conversion,[],[f3795]) ).
cnf(s332,plain,
( spl2_58
| ~ spl2_72
| spl2_76 ),
inference(sat_conversion,[],[f3796]) ).
cnf(s334,plain,
( ~ spl2_33
| spl2_54 ),
inference(sat_conversion,[],[f3835]) ).
cnf(s354,plain,
( spl2_47
| spl2_133
| spl2_134 ),
inference(sat_conversion,[],[f4359]) ).
cnf(s355,plain,
( spl2_47
| spl2_135
| spl2_136 ),
inference(sat_conversion,[],[f4366]) ).
cnf(s356,plain,
( spl2_47
| spl2_137
| spl2_138 ),
inference(sat_conversion,[],[f4373]) ).
cnf(s360,plain,
( ~ spl2_136
| spl2_140
| spl2_141 ),
inference(sat_conversion,[],[f4428]) ).
cnf(s361,plain,
( ~ spl2_136
| ~ spl2_140 ),
inference(sat_conversion,[],[f4444]) ).
cnf(s368,plain,
( spl2_11
| spl2_89
| spl2_139
| spl2_143 ),
inference(sat_conversion,[],[f4479]) ).
cnf(s381,plain,
( spl2_6
| spl2_20
| ~ spl2_143 ),
inference(sat_conversion,[],[f4578]) ).
cnf(s383,plain,
( spl2_72
| spl2_97
| ~ spl2_143 ),
inference(sat_conversion,[],[f4581]) ).
cnf(s390,plain,
( ~ spl2_53
| ~ spl2_82
| spl2_87
| ~ spl2_89
| spl2_143
| spl2_146 ),
inference(sat_conversion,[],[f4599]) ).
cnf(s392,plain,
( ~ spl2_39
| spl2_72
| ~ spl2_146 ),
inference(sat_conversion,[],[f4668]) ).
cnf(s398,plain,
( spl2_72
| spl2_97
| ~ spl2_146 ),
inference(sat_conversion,[],[f4680]) ).
cnf(s401,plain,
( ~ spl2_56
| spl2_88
| ~ spl2_135
| ~ spl2_139 ),
inference(sat_conversion,[],[f4698]) ).
cnf(s403,plain,
( ~ spl2_8
| ~ spl2_52
| spl2_89
| ~ spl2_135
| spl2_147 ),
inference(sat_conversion,[],[f4704]) ).
cnf(s408,plain,
( spl2_72
| ~ spl2_135
| ~ spl2_146 ),
inference(sat_conversion,[],[f4771]) ).
cnf(s412,plain,
( ~ spl2_52
| ~ spl2_55
| ~ spl2_56
| spl2_101 ),
inference(sat_conversion,[],[f4775]) ).
cnf(s416,plain,
( spl2_36
| ~ spl2_97
| spl2_151 ),
inference(sat_conversion,[],[f4814]) ).
cnf(s417,plain,
( ~ spl2_2
| ~ spl2_42
| spl2_54
| ~ spl2_97 ),
inference(sat_conversion,[],[f4816]) ).
cnf(s418,plain,
( ~ spl2_58
| ~ spl2_87
| ~ spl2_135 ),
inference(sat_conversion,[],[f4832]) ).
cnf(s420,plain,
( ~ spl2_8
| ~ spl2_53
| spl2_87
| ~ spl2_135 ),
inference(sat_conversion,[],[f4844]) ).
cnf(s426,plain,
( ~ spl2_78
| ~ spl2_87
| spl2_146
| spl2_153 ),
inference(sat_conversion,[],[f4875]) ).
cnf(s429,plain,
( ~ spl2_2
| spl2_54
| spl2_89
| ~ spl2_136 ),
inference(sat_conversion,[],[f4910]) ).
cnf(s432,plain,
( ~ spl2_50
| ~ spl2_53
| ~ spl2_89
| spl2_146
| spl2_153 ),
inference(sat_conversion,[],[f4921]) ).
cnf(s433,plain,
( ~ spl2_45
| ~ spl2_55
| spl2_146
| ~ spl2_154 ),
inference(sat_conversion,[],[f4947]) ).
cnf(s439,plain,
( ~ spl2_133
| ~ spl2_155
| spl2_156
| spl2_157 ),
inference(sat_conversion,[],[f4974]) ).
cnf(s454,plain,
( spl2_6
| spl2_20
| ~ spl2_159 ),
inference(sat_conversion,[],[f5072]) ).
cnf(s455,plain,
( spl2_72
| spl2_97
| ~ spl2_159 ),
inference(sat_conversion,[],[f5073]) ).
cnf(s462,plain,
( ~ spl2_137
| ~ spl2_162
| spl2_167
| spl2_168 ),
inference(sat_conversion,[],[f5125]) ).
cnf(s465,plain,
( spl2_87
| spl2_162 ),
inference(sat_conversion,[],[f5138]) ).
cnf(s468,plain,
( ~ spl2_9
| ~ spl2_88
| ~ spl2_153 ),
inference(sat_conversion,[],[f5165]) ).
cnf(s473,plain,
( spl2_11
| spl2_161
| spl2_167
| ~ spl2_169 ),
inference(sat_conversion,[],[f5203]) ).
cnf(s474,plain,
( spl2_166
| ~ spl2_167 ),
inference(sat_conversion,[],[f5214]) ).
cnf(s475,plain,
( ~ spl2_167
| spl2_168 ),
inference(sat_conversion,[],[f5215]) ).
cnf(s476,plain,
( spl2_161
| ~ spl2_167 ),
inference(sat_conversion,[],[f5216]) ).
cnf(s478,plain,
( ~ spl2_9
| ~ spl2_89
| ~ spl2_138
| ~ spl2_168
| ~ spl2_171 ),
inference(sat_conversion,[],[f5252]) ).
cnf(s482,plain,
( spl2_54
| ~ spl2_163
| ~ spl2_171 ),
inference(sat_conversion,[],[f5304]) ).
cnf(s483,plain,
( spl2_76
| ~ spl2_163
| ~ spl2_169 ),
inference(sat_conversion,[],[f5305]) ).
cnf(s484,plain,
( spl2_72
| spl2_97
| ~ spl2_163 ),
inference(sat_conversion,[],[f5306]) ).
cnf(s485,plain,
( ~ spl2_9
| ~ spl2_168
| ~ spl2_171
| spl2_173 ),
inference(sat_conversion,[],[f5311]) ).
cnf(s486,plain,
( spl2_11
| ~ spl2_29 ),
inference(sat_conversion,[],[f5336]) ).
cnf(s487,plain,
( ~ spl2_36
| spl2_39 ),
inference(sat_conversion,[],[f5349]) ).
cnf(s489,plain,
( ~ spl2_136
| ~ spl2_151 ),
inference(sat_conversion,[],[f5374]) ).
cnf(s490,plain,
( spl2_54
| ~ spl2_151 ),
inference(sat_conversion,[],[f5377]) ).
cnf(s492,plain,
( ~ spl2_36
| ~ spl2_97 ),
inference(sat_conversion,[],[f5391]) ).
cnf(s496,plain,
( spl2_139
| spl2_156 ),
inference(sat_conversion,[],[f5412]) ).
cnf(s504,plain,
( ~ spl2_50
| ~ spl2_133
| ~ spl2_147
| spl2_163
| spl2_171 ),
inference(sat_conversion,[],[f5533]) ).
cnf(s505,plain,
( ~ spl2_39
| ~ spl2_52
| ~ spl2_157 ),
inference(sat_conversion,[],[f5549]) ).
cnf(s509,plain,
( ~ spl2_39
| ~ spl2_45
| ~ spl2_89
| spl2_147 ),
inference(sat_conversion,[],[f5644]) ).
cnf(s512,plain,
( spl2_87
| ~ spl2_134
| spl2_140
| ~ spl2_179 ),
inference(sat_conversion,[],[f5678]) ).
cnf(s518,plain,
( ~ spl2_56
| ~ spl2_155
| spl2_157
| ~ spl2_180 ),
inference(sat_conversion,[],[f5716]) ).
cnf(s519,plain,
( ~ spl2_58
| ~ spl2_168
| ~ spl2_180 ),
inference(sat_conversion,[],[f5720]) ).
cnf(s525,plain,
( spl2_47
| spl2_182
| spl2_183 ),
inference(sat_conversion,[],[f5746]) ).
cnf(s530,plain,
( ~ spl2_52
| ~ spl2_168
| ~ spl2_181
| spl2_186 ),
inference(sat_conversion,[],[f5789]) ).
cnf(s532,plain,
( ~ spl2_60
| ~ spl2_168
| spl2_186 ),
inference(sat_conversion,[],[f5813]) ).
cnf(s545,plain,
( spl2_168
| spl2_179 ),
inference(sat_conversion,[],[f5956]) ).
cnf(s551,plain,
( ~ spl2_133
| ~ spl2_153
| ~ spl2_171
| spl2_173 ),
inference(sat_conversion,[],[f5997]) ).
cnf(s554,plain,
( ~ spl2_8
| ~ spl2_9
| spl2_161
| ~ spl2_171
| spl2_173 ),
inference(sat_conversion,[],[f6011]) ).
cnf(s556,plain,
( ~ spl2_32
| ~ spl2_54
| ~ spl2_56
| spl2_119 ),
inference(sat_conversion,[],[f6013]) ).
cnf(s557,plain,
( ~ spl2_8
| ~ spl2_87
| ~ spl2_133
| spl2_161
| spl2_196 ),
inference(sat_conversion,[],[f6018]) ).
cnf(s562,plain,
( ~ spl2_26
| spl2_161 ),
inference(sat_conversion,[],[f6055]) ).
cnf(s566,plain,
( ~ spl2_7
| ~ spl2_141 ),
inference(sat_conversion,[],[f6092]) ).
cnf(s567,plain,
( ~ spl2_7
| ~ spl2_35
| spl2_39 ),
inference(sat_conversion,[],[f6094]) ).
cnf(s572,plain,
( spl2_47
| spl2_52
| ~ spl2_55 ),
inference(sat_conversion,[],[f6118]) ).
cnf(s574,plain,
( spl2_47
| spl2_52
| ~ spl2_55 ),
inference(sat_conversion,[],[f6123]) ).
cnf(s608,plain,
~ spl2_47,
inference(sat_conversion,[],[f6270]) ).
cnf(s609,plain,
( spl2_47
| spl2_137
| spl2_138 ),
inference(sat_conversion,[],[f6280]) ).
cnf(s610,plain,
( spl2_47
| spl2_133
| spl2_134 ),
inference(sat_conversion,[],[f6281]) ).
cnf(s611,plain,
( spl2_47
| spl2_135
| spl2_136 ),
inference(sat_conversion,[],[f6282]) ).
cnf(s612,plain,
( spl2_54
| spl2_193 ),
inference(sat_conversion,[],[f6287]) ).
cnf(s616,plain,
( ~ spl2_20
| ~ spl2_90 ),
inference(sat_conversion,[],[f6297]) ).
cnf(s618,plain,
( spl2_10
| ~ spl2_20
| spl2_90 ),
inference(sat_conversion,[],[f6318]) ).
cnf(s625,plain,
( spl2_87
| ~ spl2_140 ),
inference(sat_conversion,[],[f6348]) ).
cnf(s626,plain,
( ~ spl2_140
| spl2_149 ),
inference(sat_conversion,[],[f6349]) ).
cnf(s637,plain,
( ~ spl2_9
| ~ spl2_11
| spl2_47
| ~ spl2_91 ),
inference(sat_conversion,[],[f6434]) ).
cnf(s639,plain,
( ~ spl2_91
| ~ spl2_161
| spl2_163
| ~ spl2_171 ),
inference(sat_conversion,[],[f6436]) ).
cnf(s642,plain,
( ~ spl2_39
| ~ spl2_45
| ~ spl2_173 ),
inference(sat_conversion,[],[f6498]) ).
cnf(s644,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_101 ),
inference(sat_conversion,[],[f6511]) ).
cnf(s654,plain,
( ~ spl2_7
| ~ spl2_164 ),
inference(sat_conversion,[],[f6612]) ).
cnf(s655,plain,
( ~ spl2_39
| ~ spl2_196 ),
inference(sat_conversion,[],[f6629]) ).
cnf(s666,plain,
( ~ spl2_39
| ~ spl2_133
| spl2_186 ),
inference(sat_conversion,[],[f6751]) ).
cnf(s667,plain,
( ~ spl2_135
| ~ spl2_138
| ~ spl2_186 ),
inference(sat_conversion,[],[f6767]) ).
cnf(s668,plain,
( ~ spl2_52
| ~ spl2_55
| spl2_76
| spl2_101 ),
inference(sat_conversion,[],[f6768]) ).
cnf(s672,plain,
( spl2_155
| spl2_169 ),
inference(sat_conversion,[],[f6774]) ).
cnf(s685,plain,
( ~ spl2_31
| spl2_159
| spl2_161
| spl2_168 ),
inference(sat_conversion,[],[f6908]) ).
cnf(s698,plain,
( ~ spl2_53
| ~ spl2_135
| ~ spl2_137
| spl2_161
| spl2_167 ),
inference(sat_conversion,[],[f6977]) ).
cnf(s704,plain,
( ~ spl2_36
| spl2_55 ),
inference(sat_conversion,[],[f7004]) ).
cnf(s708,plain,
( ~ spl2_9
| ~ spl2_87
| ~ spl2_153
| spl2_154 ),
inference(sat_conversion,[],[f7029]) ).
cnf(s723,plain,
( ~ spl2_81
| ~ spl2_136
| ~ spl2_162 ),
inference(sat_conversion,[],[f7130]) ).
cnf(s725,plain,
( ~ spl2_45
| ~ spl2_154
| ~ spl2_183 ),
inference(sat_conversion,[],[f7160]) ).
cnf(s727,plain,
( spl2_89
| spl2_205 ),
inference(sat_conversion,[],[f7162]) ).
cnf(s728,plain,
( ~ spl2_11
| ~ spl2_154
| spl2_156 ),
inference(sat_conversion,[],[f7165]) ).
cnf(s732,plain,
( spl2_87
| spl2_143
| spl2_145
| spl2_149 ),
inference(sat_conversion,[],[f7178]) ).
cnf(s735,plain,
( spl2_89
| spl2_148
| spl2_149 ),
inference(sat_conversion,[],[f7199]) ).
cnf(s739,plain,
( spl2_153
| ~ spl2_164
| spl2_171 ),
inference(sat_conversion,[],[f7268]) ).
cnf(s740,plain,
( ~ spl2_35
| spl2_41
| ~ spl2_193 ),
inference(sat_conversion,[],[f7294]) ).
cnf(s745,plain,
( ~ spl2_135
| ~ spl2_138
| spl2_147
| ~ spl2_181 ),
inference(sat_conversion,[],[f7377]) ).
cnf(s747,plain,
( ~ spl2_133
| ~ spl2_139
| ~ spl2_155
| spl2_157 ),
inference(sat_conversion,[],[f7381]) ).
cnf(s750,plain,
( ~ spl2_138
| ~ spl2_155
| ~ spl2_180
| ~ spl2_208 ),
inference(sat_conversion,[],[f7385]) ).
cnf(s755,plain,
( spl2_87
| spl2_143
| ~ spl2_149 ),
inference(sat_conversion,[],[f7443]) ).
cnf(s756,plain,
( spl2_89
| ~ spl2_149 ),
inference(sat_conversion,[],[f7445]) ).
cnf(s771,plain,
( ~ spl2_18
| spl2_120 ),
inference(sat_conversion,[],[f7598]) ).
cnf(s781,plain,
( ~ spl2_50
| spl2_163
| spl2_171
| spl2_180 ),
inference(sat_conversion,[],[f7738]) ).
cnf(s782,plain,
( ~ spl2_9
| ~ spl2_157
| ~ spl2_171 ),
inference(sat_conversion,[],[f7751]) ).
cnf(s790,plain,
( ~ spl2_133
| ~ spl2_147
| ~ spl2_180 ),
inference(sat_conversion,[],[f7806]) ).
cnf(s793,plain,
( ~ spl2_51
| spl2_161
| spl2_163
| spl2_180 ),
inference(sat_conversion,[],[f7874]) ).
cnf(s795,plain,
( ~ spl2_54
| spl2_129 ),
inference(sat_conversion,[],[f7885]) ).
cnf(s797,plain,
( spl2_46
| spl2_47
| spl2_52 ),
inference(sat_conversion,[],[f7893]) ).
cnf(s801,plain,
( spl2_163
| ~ spl2_166
| spl2_180 ),
inference(sat_conversion,[],[f7977]) ).
cnf(s802,plain,
( spl2_161
| ~ spl2_166 ),
inference(sat_conversion,[],[f7979]) ).
cnf(s810,plain,
( ~ spl2_56
| ~ spl2_139
| ~ spl2_147 ),
inference(sat_conversion,[],[f8040]) ).
cnf(s811,plain,
( ~ spl2_56
| ~ spl2_147
| spl2_156 ),
inference(sat_conversion,[],[f8041]) ).
cnf(s814,plain,
( spl2_47
| spl2_56
| spl2_197 ),
inference(sat_conversion,[],[f8060]) ).
cnf(s815,plain,
( ~ spl2_86
| ~ spl2_87
| spl2_89
| spl2_146 ),
inference(sat_conversion,[],[f8075]) ).
cnf(s826,plain,
( ~ spl2_9
| spl2_17
| spl2_169
| ~ spl2_171 ),
inference(sat_conversion,[],[f8121]) ).
cnf(s833,plain,
( spl2_161
| spl2_218 ),
inference(sat_conversion,[],[f8153]) ).
cnf(s840,plain,
( ~ spl2_156
| ~ spl2_164
| ~ spl2_169 ),
inference(sat_conversion,[],[f8258]) ).
cnf(s846,plain,
( ~ spl2_133
| ~ spl2_181
| ~ spl2_183
| spl2_186 ),
inference(sat_conversion,[],[f8338]) ).
cnf(s850,plain,
( spl2_155
| spl2_159
| spl2_163
| spl2_180
| ~ spl2_197 ),
inference(sat_conversion,[],[f8394]) ).
cnf(s853,plain,
( ~ spl2_46
| spl2_159
| spl2_163
| spl2_168
| spl2_181 ),
inference(sat_conversion,[],[f8503]) ).
cnf(s854,plain,
( ~ spl2_53
| ~ spl2_89
| ~ spl2_135 ),
inference(sat_conversion,[],[f8504]) ).
cnf(s855,plain,
( ~ spl2_17
| ~ spl2_87
| ~ spl2_89 ),
inference(sat_conversion,[],[f8506]) ).
cnf(s856,plain,
( ~ spl2_88
| ~ spl2_133
| ~ spl2_168 ),
inference(sat_conversion,[],[f8507]) ).
cnf(s859,plain,
( ~ spl2_87
| spl2_88
| ~ spl2_138
| ~ spl2_155 ),
inference(sat_conversion,[],[f8516]) ).
cnf(s860,plain,
( ~ spl2_87
| spl2_88
| ~ spl2_138
| spl2_169 ),
inference(sat_conversion,[],[f8517]) ).
cnf(s873,plain,
( ~ spl2_11
| spl2_169
| ~ spl2_173 ),
inference(sat_conversion,[],[f8636]) ).
cnf(s874,plain,
( ~ spl2_33
| spl2_153 ),
inference(sat_conversion,[],[f8669]) ).
cnf(s875,plain,
( ~ spl2_33
| spl2_171 ),
inference(sat_conversion,[],[f8671]) ).
cnf(s876,plain,
( ~ spl2_33
| ~ spl2_54
| ~ spl2_147 ),
inference(sat_conversion,[],[f8675]) ).
cnf(s909,plain,
( ~ spl2_9
| ~ spl2_11
| spl2_33
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129
| spl2_243 ),
inference(sat_conversion,[],[f9610]) ).
cnf(s919,plain,
( spl2_145
| ~ spl2_176 ),
inference(sat_conversion,[],[f9787]) ).
cnf(s920,plain,
( ~ spl2_41
| spl2_171
| spl2_181 ),
inference(sat_conversion,[],[f9824]) ).
cnf(s935,plain,
( spl2_49
| ~ spl2_124 ),
inference(sat_conversion,[],[f10197]) ).
cnf(s936,plain,
( ~ spl2_49
| spl2_161
| spl2_163 ),
inference(sat_conversion,[],[f10226]) ).
cnf(s937,plain,
( ~ spl2_49
| spl2_89
| spl2_146 ),
inference(sat_conversion,[],[f10227]) ).
cnf(s1174,plain,
( ~ spl2_293
| spl2_308 ),
inference(sat_conversion,[],[f13662]) ).
cnf(s1179,plain,
( ~ spl2_183
| ~ spl2_296
| spl2_337
| ~ spl2_338 ),
inference(sat_conversion,[],[f13717]) ).
cnf(s1182,plain,
( ~ spl2_147
| ~ spl2_197
| ~ spl2_296
| spl2_306
| spl2_342
| spl2_343 ),
inference(sat_conversion,[],[f13773]) ).
cnf(s1200,plain,
( spl2_6
| spl2_20
| ~ spl2_343 ),
inference(sat_conversion,[],[f14018]) ).
cnf(s1222,plain,
( spl2_72
| spl2_151
| ~ spl2_343 ),
inference(sat_conversion,[],[f14071]) ).
cnf(s1228,plain,
( ~ spl2_38
| spl2_72
| ~ spl2_274
| ~ spl2_343 ),
inference(sat_conversion,[],[f14078]) ).
cnf(s1277,plain,
( spl2_139
| ~ spl2_155
| ~ spl2_317 ),
inference(sat_conversion,[],[f14486]) ).
cnf(s1283,plain,
( ~ spl2_135
| spl2_180
| ~ spl2_317 ),
inference(sat_conversion,[],[f14508]) ).
cnf(s1286,plain,
( spl2_87
| ~ spl2_168
| ~ spl2_317 ),
inference(sat_conversion,[],[f14520]) ).
cnf(s1322,plain,
( spl2_52
| spl2_72
| ~ spl2_274
| ~ spl2_306 ),
inference(sat_conversion,[],[f14772]) ).
cnf(s1324,plain,
( ~ spl2_38
| spl2_72
| ~ spl2_274
| ~ spl2_306 ),
inference(sat_conversion,[],[f14775]) ).
cnf(s1331,plain,
( spl2_36
| spl2_72
| spl2_151
| ~ spl2_306 ),
inference(sat_conversion,[],[f14793]) ).
cnf(s1338,plain,
( spl2_72
| spl2_151
| ~ spl2_306 ),
inference(sat_conversion,[],[f14804]) ).
cnf(s1367,plain,
( spl2_47
| spl2_52
| spl2_72
| ~ spl2_81
| spl2_159
| ~ spl2_306 ),
inference(sat_conversion,[],[f14842]) ).
cnf(s1376,plain,
( ~ spl2_135
| ~ spl2_175
| spl2_313
| ~ spl2_337
| spl2_342
| spl2_343 ),
inference(sat_conversion,[],[f15056]) ).
cnf(s1377,plain,
( spl2_89
| ~ spl2_135
| spl2_313
| ~ spl2_337
| spl2_360 ),
inference(sat_conversion,[],[f15062]) ).
cnf(s1387,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_346
| ~ spl2_360 ),
inference(sat_conversion,[],[f15206]) ).
cnf(s1389,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_80
| ~ spl2_82
| ~ spl2_129
| spl2_306
| spl2_343
| ~ spl2_352 ),
inference(sat_conversion,[],[f15241]) ).
cnf(s1394,plain,
( ~ spl2_9
| ~ spl2_129
| ~ spl2_274
| ~ spl2_352
| spl2_367 ),
inference(sat_conversion,[],[f15255]) ).
cnf(s1402,plain,
( ~ spl2_11
| ~ spl2_293
| spl2_348
| ~ spl2_360 ),
inference(sat_conversion,[],[f15374]) ).
cnf(s1408,plain,
( ~ spl2_45
| ~ spl2_197
| spl2_306
| spl2_337
| spl2_342
| spl2_343
| ~ spl2_360 ),
inference(sat_conversion,[],[f15384]) ).
cnf(s1427,plain,
( ~ spl2_168
| spl2_171
| ~ spl2_308
| spl2_347
| spl2_352
| spl2_376 ),
inference(sat_conversion,[],[f15508]) ).
cnf(s1428,plain,
( ~ spl2_168
| ~ spl2_174
| ~ spl2_308
| spl2_347
| spl2_360
| spl2_376 ),
inference(sat_conversion,[],[f15509]) ).
cnf(s1470,plain,
( ~ spl2_35
| ~ spl2_219
| spl2_338
| ~ spl2_385 ),
inference(sat_conversion,[],[f16008]) ).
cnf(s1471,plain,
( ~ spl2_219
| ~ spl2_385
| spl2_389 ),
inference(sat_conversion,[],[f16012]) ).
cnf(s1473,plain,
( ~ spl2_179
| spl2_293
| ~ spl2_385
| spl2_390 ),
inference(sat_conversion,[],[f16017]) ).
cnf(s1475,plain,
( ~ spl2_218
| spl2_360
| ~ spl2_385
| spl2_390 ),
inference(sat_conversion,[],[f16023]) ).
cnf(s1477,plain,
( spl2_161
| spl2_360
| ~ spl2_385
| spl2_390 ),
inference(sat_conversion,[],[f16029]) ).
cnf(s1482,plain,
( spl2_143
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_338
| spl2_394 ),
inference(sat_conversion,[],[f16064]) ).
cnf(s1487,plain,
( ~ spl2_80
| spl2_306
| spl2_338
| spl2_342
| spl2_343 ),
inference(sat_conversion,[],[f16096]) ).
cnf(s1488,plain,
( ~ spl2_46
| spl2_293
| spl2_306
| spl2_338
| spl2_343 ),
inference(sat_conversion,[],[f16097]) ).
cnf(s1494,plain,
( spl2_143
| ~ spl2_147
| ~ spl2_176
| ~ spl2_274
| ~ spl2_342
| spl2_346 ),
inference(sat_conversion,[],[f16129]) ).
cnf(s1504,plain,
( spl2_317
| ~ spl2_347 ),
inference(sat_conversion,[],[f16305]) ).
cnf(s1524,plain,
( ~ spl2_2
| ~ spl2_11
| ~ spl2_155
| spl2_171
| spl2_317
| ~ spl2_342
| spl2_348 ),
inference(sat_conversion,[],[f16438]) ).
cnf(s1538,plain,
( ~ spl2_133
| ~ spl2_135
| ~ spl2_386
| ~ spl2_389
| ~ spl2_404 ),
inference(sat_conversion,[],[f16603]) ).
cnf(s1555,plain,
( spl2_89
| spl2_313
| spl2_360
| spl2_404 ),
inference(sat_conversion,[],[f16694]) ).
cnf(s1557,plain,
( spl2_89
| ~ spl2_243
| spl2_306
| spl2_313
| spl2_343
| spl2_404 ),
inference(sat_conversion,[],[f16697]) ).
cnf(s1562,plain,
( ~ spl2_2
| spl2_171
| ~ spl2_388
| ~ spl2_396 ),
inference(sat_conversion,[],[f16753]) ).
cnf(s1564,plain,
( spl2_161
| spl2_167
| spl2_360
| ~ spl2_388 ),
inference(sat_conversion,[],[f16757]) ).
cnf(s1565,plain,
( ~ spl2_157
| ~ spl2_293
| ~ spl2_387 ),
inference(sat_conversion,[],[f16775]) ).
cnf(s1566,plain,
( ~ spl2_138
| ~ spl2_387
| ~ spl2_404
| spl2_409 ),
inference(sat_conversion,[],[f16779]) ).
cnf(s1582,plain,
( ~ spl2_9
| ~ spl2_161
| ~ spl2_168
| spl2_173 ),
inference(sat_conversion,[],[f16829]) ).
cnf(s1583,plain,
( ~ spl2_2
| ~ spl2_45
| spl2_153
| ~ spl2_183
| spl2_416 ),
inference(sat_conversion,[],[f16833]) ).
cnf(s1585,plain,
( ~ spl2_168
| ~ spl2_293
| spl2_376
| ~ spl2_386 ),
inference(sat_conversion,[],[f16841]) ).
cnf(s1599,plain,
( ~ spl2_81
| spl2_293
| spl2_389 ),
inference(sat_conversion,[],[f16877]) ).
cnf(s1601,plain,
( ~ spl2_133
| ~ spl2_139
| spl2_157
| ~ spl2_168 ),
inference(sat_conversion,[],[f16883]) ).
cnf(s1602,plain,
( spl2_88
| ~ spl2_138
| ~ spl2_139
| ~ spl2_155 ),
inference(sat_conversion,[],[f16887]) ).
cnf(s1605,plain,
( ~ spl2_80
| ~ spl2_135
| spl2_139
| spl2_143
| spl2_146
| spl2_426 ),
inference(sat_conversion,[],[f16898]) ).
cnf(s1609,plain,
( spl2_9
| ~ spl2_25
| spl2_428 ),
inference(sat_conversion,[],[f16912]) ).
cnf(s1613,plain,
( ~ spl2_35
| spl2_39
| ~ spl2_97 ),
inference(sat_conversion,[],[f16922]) ).
cnf(s1619,plain,
( spl2_47
| spl2_52
| ~ spl2_129
| ~ spl2_152
| ~ spl2_153
| spl2_154 ),
inference(sat_conversion,[],[f16942]) ).
cnf(s1632,plain,
( ~ spl2_11
| ~ spl2_87
| ~ spl2_138
| ~ spl2_161
| spl2_169 ),
inference(sat_conversion,[],[f16977]) ).
cnf(s1637,plain,
( ~ spl2_155
| spl2_157
| spl2_369
| ~ spl2_386 ),
inference(sat_conversion,[],[f16994]) ).
cnf(s1639,plain,
( ~ spl2_87
| ~ spl2_148
| spl2_161
| ~ spl2_168
| spl2_196
| spl2_317 ),
inference(sat_conversion,[],[f16998]) ).
cnf(s1642,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_45
| ~ spl2_54
| spl2_76 ),
inference(sat_conversion,[],[f17001]) ).
cnf(s1643,plain,
( ~ spl2_11
| ~ spl2_45
| spl2_76
| ~ spl2_87
| ~ spl2_135 ),
inference(sat_conversion,[],[f17002]) ).
cnf(s1652,plain,
( ~ spl2_45
| spl2_47
| spl2_56
| ~ spl2_89
| ~ spl2_144
| spl2_147 ),
inference(sat_conversion,[],[f17027]) ).
cnf(s1653,plain,
( ~ spl2_45
| spl2_47
| spl2_52
| ~ spl2_89
| ~ spl2_145
| spl2_147 ),
inference(sat_conversion,[],[f17028]) ).
cnf(s1667,plain,
( ~ spl2_3
| spl2_9 ),
inference(sat_conversion,[],[f17075]) ).
cnf(s1668,plain,
( ~ spl2_46
| spl2_87
| ~ spl2_135
| spl2_143
| spl2_146
| spl2_426 ),
inference(sat_conversion,[],[f17076]) ).
cnf(s1669,plain,
( ~ spl2_54
| ~ spl2_95 ),
inference(sat_conversion,[],[f17095]) ).
cnf(s1670,plain,
( ~ spl2_95
| ~ spl2_135 ),
inference(sat_conversion,[],[f17098]) ).
cnf(s1671,plain,
( spl2_76
| ~ spl2_95 ),
inference(sat_conversion,[],[f17112]) ).
cnf(s1677,plain,
( spl2_56
| ~ spl2_151 ),
inference(sat_conversion,[],[f17154]) ).
cnf(s1688,plain,
( ~ spl2_135
| ~ spl2_183
| spl2_426 ),
inference(sat_conversion,[],[f17271]) ).
cnf(s1691,plain,
( spl2_293
| ~ spl2_390 ),
inference(sat_conversion,[],[f17302]) ).
cnf(s1692,plain,
( spl2_389
| ~ spl2_390 ),
inference(sat_conversion,[],[f17303]) ).
cnf(s1694,plain,
( ~ spl2_274
| spl2_293
| ~ spl2_352
| spl2_444 ),
inference(sat_conversion,[],[f17316]) ).
cnf(s1697,plain,
( spl2_180
| spl2_219 ),
inference(sat_conversion,[],[f17332]) ).
cnf(s1703,plain,
( ~ spl2_17
| ~ spl2_293
| ~ spl2_360 ),
inference(sat_conversion,[],[f17375]) ).
cnf(s1705,plain,
( ~ spl2_274
| spl2_293
| ~ spl2_342
| spl2_417 ),
inference(sat_conversion,[],[f17388]) ).
cnf(s1712,plain,
( ~ spl2_129
| ~ spl2_352
| spl2_367
| ~ spl2_389 ),
inference(sat_conversion,[],[f17454]) ).
cnf(s1714,plain,
( ~ spl2_274
| spl2_293
| ~ spl2_338
| spl2_393 ),
inference(sat_conversion,[],[f17469]) ).
cnf(s1718,plain,
( spl2_360
| spl2_396 ),
inference(sat_conversion,[],[f17476]) ).
cnf(s1722,plain,
( spl2_9
| spl2_54
| ~ spl2_81 ),
inference(sat_conversion,[],[f17481]) ).
cnf(s1727,plain,
( spl2_360
| ~ spl2_390 ),
inference(sat_conversion,[],[f17522]) ).
cnf(s1733,plain,
( ~ spl2_31
| spl2_293
| spl2_343
| spl2_360 ),
inference(sat_conversion,[],[f17563]) ).
cnf(s1738,plain,
( ~ spl2_144
| spl2_296
| spl2_313
| spl2_342
| spl2_343 ),
inference(sat_conversion,[],[f17607]) ).
cnf(s1739,plain,
( ~ spl2_148
| spl2_296
| spl2_313
| spl2_360 ),
inference(sat_conversion,[],[f17611]) ).
cnf(s1740,plain,
( spl2_143
| spl2_146
| ~ spl2_243
| spl2_296
| spl2_313
| spl2_360 ),
inference(sat_conversion,[],[f17613]) ).
cnf(s1742,plain,
( ~ spl2_11
| ~ spl2_155
| spl2_157
| ~ spl2_161 ),
inference(sat_conversion,[],[f17615]) ).
cnf(s1743,plain,
( spl2_87
| ~ spl2_183
| ~ spl2_274
| spl2_426 ),
inference(sat_conversion,[],[f17616]) ).
cnf(s1750,plain,
( ~ spl2_17
| ~ spl2_161
| ~ spl2_168 ),
inference(sat_conversion,[],[f17626]) ).
cnf(s1752,plain,
( ~ spl2_45
| ~ spl2_89
| spl2_147
| ~ spl2_183 ),
inference(sat_conversion,[],[f17628]) ).
cnf(s1753,plain,
( spl2_9
| ~ spl2_120
| spl2_293
| spl2_343
| spl2_360 ),
inference(sat_conversion,[],[f17631]) ).
cnf(s1754,plain,
( spl2_89
| ~ spl2_134
| spl2_140
| spl2_161 ),
inference(sat_conversion,[],[f17632]) ).
cnf(s1757,plain,
( ~ spl2_5
| ~ spl2_168 ),
inference(sat_conversion,[],[f17641]) ).
cnf(s1760,plain,
( ~ spl2_76
| ~ spl2_151 ),
inference(sat_conversion,[],[f17678]) ).
cnf(s1762,plain,
( ~ spl2_56
| spl2_321 ),
inference(sat_conversion,[],[f17704]) ).
cnf(s1763,plain,
( ~ spl2_11
| ~ spl2_45
| ~ spl2_56
| spl2_58 ),
inference(sat_conversion,[],[f17706]) ).
cnf(s1768,plain,
( spl2_87
| ~ spl2_139
| spl2_208
| ~ spl2_274 ),
inference(sat_conversion,[],[f17752]) ).
cnf(s1770,plain,
( ~ spl2_139
| spl2_333 ),
inference(sat_conversion,[],[f17753]) ).
cnf(s1771,plain,
( ~ spl2_87
| spl2_316 ),
inference(sat_conversion,[],[f17756]) ).
cnf(s1775,plain,
( ~ spl2_39
| spl2_183 ),
inference(sat_conversion,[],[f17802]) ).
cnf(s1779,plain,
( spl2_25
| ~ spl2_169 ),
inference(sat_conversion,[],[f17827]) ).
cnf(s1784,plain,
( spl2_47
| spl2_56
| ~ spl2_144
| spl2_183 ),
inference(sat_conversion,[],[f17851]) ).
cnf(s1789,plain,
( ~ spl2_45
| ~ spl2_161
| ~ spl2_181
| spl2_186 ),
inference(sat_conversion,[],[f17876]) ).
cnf(s1793,plain,
( ~ spl2_137
| spl2_140
| spl2_164 ),
inference(sat_conversion,[],[f17936]) ).
cnf(s1801,plain,
( ~ spl2_45
| ~ spl2_338
| ~ spl2_367 ),
inference(sat_conversion,[],[f18045]) ).
cnf(s1807,plain,
( ~ spl2_54
| ~ spl2_171
| ~ spl2_186 ),
inference(sat_conversion,[],[f18145]) ).
cnf(s1808,plain,
( ~ spl2_186
| ~ spl2_387
| ~ spl2_389 ),
inference(sat_conversion,[],[f18148]) ).
cnf(s1813,plain,
( ~ spl2_137
| ~ spl2_140 ),
inference(sat_conversion,[],[f18181]) ).
cnf(s1815,plain,
( ~ spl2_9
| ~ spl2_161
| ~ spl2_168
| spl2_173 ),
inference(sat_conversion,[],[f18182]) ).
cnf(s1819,plain,
( ~ spl2_134
| ~ spl2_167 ),
inference(sat_conversion,[],[f18219]) ).
cnf(s1823,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_161
| spl2_169
| ~ spl2_171 ),
inference(sat_conversion,[],[f18236]) ).
cnf(s1834,plain,
( ~ spl2_45
| ~ spl2_173
| ~ spl2_181 ),
inference(sat_conversion,[],[f18322]) ).
cnf(s1835,plain,
( spl2_342
| spl2_369 ),
inference(sat_conversion,[],[f18323]) ).
cnf(s1836,plain,
( ~ spl2_45
| ~ spl2_161
| ~ spl2_181
| spl2_186 ),
inference(sat_conversion,[],[f18324]) ).
cnf(s1837,plain,
( spl2_168
| ~ spl2_181
| ~ spl2_274
| spl2_454 ),
inference(sat_conversion,[],[f18328]) ).
cnf(s1846,plain,
( ~ spl2_46
| spl2_87
| spl2_143
| spl2_146
| spl2_183 ),
inference(sat_conversion,[],[f18377]) ).
cnf(s1855,plain,
( spl2_168
| spl2_180
| ~ spl2_274 ),
inference(sat_conversion,[],[f18509]) ).
cnf(s1858,plain,
( ~ spl2_82
| spl2_159
| spl2_163
| spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f18518]) ).
cnf(s1860,plain,
( ~ spl2_81
| spl2_143
| spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f18521]) ).
cnf(s1861,plain,
( ~ spl2_81
| spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f18524]) ).
cnf(s1862,plain,
( ~ spl2_81
| spl2_163
| spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f18525]) ).
cnf(s1882,plain,
( ~ spl2_388
| spl2_390
| spl2_392 ),
inference(sat_conversion,[],[f18735]) ).
cnf(s1883,plain,
( ~ spl2_172
| ~ spl2_303
| ~ spl2_388 ),
inference(sat_conversion,[],[f18736]) ).
cnf(s1891,plain,
( ~ spl2_164
| spl2_296
| spl2_313
| ~ spl2_388 ),
inference(sat_conversion,[],[f18868]) ).
cnf(s1892,plain,
( spl2_163
| ~ spl2_164
| spl2_296
| ~ spl2_388 ),
inference(sat_conversion,[],[f18869]) ).
cnf(s1894,plain,
( ~ spl2_180
| ~ spl2_337
| ~ spl2_386 ),
inference(sat_conversion,[],[f18902]) ).
cnf(s1897,plain,
( ~ spl2_38
| spl2_338
| ~ spl2_406 ),
inference(sat_conversion,[],[f18912]) ).
cnf(s1902,plain,
( ~ spl2_139
| ~ spl2_342
| ~ spl2_409 ),
inference(sat_conversion,[],[f18974]) ).
cnf(s1903,plain,
( ~ spl2_133
| ~ spl2_386
| ~ spl2_409 ),
inference(sat_conversion,[],[f18977]) ).
cnf(s1905,plain,
( ~ spl2_139
| spl2_369
| ~ spl2_409 ),
inference(sat_conversion,[],[f18983]) ).
cnf(s1907,plain,
( ~ spl2_129
| ~ spl2_171
| spl2_173
| ~ spl2_180 ),
inference(sat_conversion,[],[f19027]) ).
cnf(s1917,plain,
( ~ spl2_171
| ~ spl2_180
| ~ spl2_387
| ~ spl2_444 ),
inference(sat_conversion,[],[f19256]) ).
cnf(s1922,plain,
( ~ spl2_9
| ~ spl2_45
| ~ spl2_360
| ~ spl2_394 ),
inference(sat_conversion,[],[f19396]) ).
cnf(s1926,plain,
( spl2_146
| ~ spl2_181
| spl2_186
| ~ spl2_416 ),
inference(sat_conversion,[],[f19441]) ).
cnf(s1932,plain,
( ~ spl2_180
| ~ spl2_181
| ~ spl2_387
| ~ spl2_393 ),
inference(sat_conversion,[],[f19538]) ).
cnf(s1936,plain,
( ~ spl2_45
| ~ spl2_89
| ~ spl2_133
| ~ spl2_135
| ~ spl2_180 ),
inference(sat_conversion,[],[f19644]) ).
cnf(s1959,plain,
( ~ spl2_139
| ~ spl2_316
| spl2_331 ),
inference(sat_conversion,[],[f19789]) ).
cnf(s1960,plain,
( ~ spl2_164
| ~ spl2_169
| ~ spl2_316
| spl2_331 ),
inference(sat_conversion,[],[f19790]) ).
cnf(s1964,plain,
( ~ spl2_133
| ~ spl2_293
| ~ spl2_316
| ~ spl2_386
| ~ spl2_404 ),
inference(sat_conversion,[],[f19865]) ).
cnf(s1975,plain,
( ~ spl2_179
| ~ spl2_385
| ~ spl2_406 ),
inference(sat_conversion,[],[f20016]) ).
cnf(s1980,plain,
( ~ spl2_45
| spl2_53
| ~ spl2_171
| ~ spl2_181 ),
inference(sat_conversion,[],[f20133]) ).
cnf(s1981,plain,
( ~ spl2_181
| spl2_337
| ~ spl2_338
| ~ spl2_387 ),
inference(sat_conversion,[],[f20134]) ).
cnf(s1982,plain,
( ~ spl2_53
| ~ spl2_161
| ~ spl2_180 ),
inference(sat_conversion,[],[f20161]) ).
cnf(s1985,plain,
( spl2_171
| spl2_352
| ~ spl2_392 ),
inference(sat_conversion,[],[f20166]) ).
cnf(s1986,plain,
( ~ spl2_45
| ~ spl2_54
| ~ spl2_161
| ~ spl2_454 ),
inference(sat_conversion,[],[f20171]) ).
cnf(s2007,plain,
( ~ spl2_11
| ~ spl2_342
| spl2_348
| ~ spl2_360 ),
inference(sat_conversion,[],[f20347]) ).
cnf(s2012,plain,
( spl2_163
| ~ spl2_313 ),
inference(sat_conversion,[],[f20381]) ).
cnf(s2014,plain,
( ~ spl2_52
| spl2_58
| spl2_169
| ~ spl2_181 ),
inference(sat_conversion,[],[f20383]) ).
cnf(s2019,plain,
( spl2_36
| spl2_52
| spl2_274 ),
inference(sat_conversion,[],[f20399]) ).
cnf(s2020,plain,
( ~ spl2_11
| ~ spl2_89
| ~ spl2_133
| spl2_156
| ~ spl2_168 ),
inference(sat_conversion,[],[f20400]) ).
cnf(s2021,plain,
( ~ spl2_11
| ~ spl2_120
| spl2_153
| ~ spl2_333
| spl2_490 ),
inference(sat_conversion,[],[f20404]) ).
cnf(s2022,plain,
( ~ spl2_81
| spl2_274 ),
inference(sat_conversion,[],[f20405]) ).
cnf(s2023,plain,
( ~ spl2_2
| spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f20406]) ).
cnf(s2026,plain,
( ~ spl2_56
| spl2_58
| spl2_169
| ~ spl2_181 ),
inference(sat_conversion,[],[f20413]) ).
cnf(s2027,plain,
( ~ spl2_56
| spl2_169
| ~ spl2_186 ),
inference(sat_conversion,[],[f20414]) ).
cnf(s2028,plain,
( spl2_10
| spl2_47
| spl2_56
| spl2_81 ),
inference(sat_conversion,[],[f20415]) ).
cnf(s2029,plain,
( ~ spl2_11
| ~ spl2_52
| ~ spl2_161
| spl2_169
| ~ spl2_181 ),
inference(sat_conversion,[],[f20416]) ).
cnf(s2033,plain,
( ~ spl2_82
| spl2_87
| spl2_135
| spl2_143
| spl2_146 ),
inference(sat_conversion,[],[f20420]) ).
cnf(s2035,plain,
( spl2_54
| spl2_89
| ~ spl2_120
| spl2_135
| spl2_146 ),
inference(sat_conversion,[],[f20423]) ).
cnf(s2040,plain,
( ~ spl2_52
| spl2_58
| spl2_143
| ~ spl2_422 ),
inference(sat_conversion,[],[f20450]) ).
cnf(s2041,plain,
( ~ spl2_52
| spl2_327 ),
inference(sat_conversion,[],[f20451]) ).
cnf(s2044,plain,
( ~ spl2_10
| ~ spl2_11
| spl2_17
| ~ spl2_153 ),
inference(sat_conversion,[],[f20471]) ).
cnf(s2047,plain,
( spl2_181
| spl2_479 ),
inference(sat_conversion,[],[f20474]) ).
cnf(s2050,plain,
( ~ spl2_11
| ~ spl2_56
| spl2_58
| ~ spl2_120
| spl2_306
| ~ spl2_342
| spl2_352 ),
inference(sat_conversion,[],[f20494]) ).
cnf(s2055,plain,
( ~ spl2_35
| ~ spl2_76
| ~ spl2_156
| spl2_183 ),
inference(sat_conversion,[],[f20525]) ).
cnf(s2057,plain,
( ~ spl2_76
| spl2_135
| ~ spl2_156 ),
inference(sat_conversion,[],[f20527]) ).
cnf(s2058,plain,
( spl2_10
| ~ spl2_156
| spl2_176 ),
inference(sat_conversion,[],[f20528]) ).
cnf(s2063,plain,
( ~ spl2_52
| ~ spl2_56
| ~ spl2_135
| ~ spl2_331 ),
inference(sat_conversion,[],[f20567]) ).
cnf(s2084,plain,
( ~ spl2_133
| ~ spl2_154
| ~ spl2_161 ),
inference(sat_conversion,[],[f20709]) ).
cnf(s2085,plain,
( spl2_54
| ~ spl2_58
| spl2_86
| ~ spl2_120 ),
inference(sat_conversion,[],[f20712]) ).
cnf(s2086,plain,
( spl2_54
| ~ spl2_120
| spl2_161
| spl2_163
| spl2_180 ),
inference(sat_conversion,[],[f20713]) ).
cnf(s2087,plain,
( ~ spl2_10
| ~ spl2_156 ),
inference(sat_conversion,[],[f20722]) ).
cnf(s2088,plain,
( ~ spl2_10
| ~ spl2_169 ),
inference(sat_conversion,[],[f20725]) ).
cnf(s2089,plain,
( ~ spl2_10
| ~ spl2_369 ),
inference(sat_conversion,[],[f20728]) ).
cnf(s2096,plain,
( ~ spl2_23
| spl2_360
| ~ spl2_369
| spl2_390 ),
inference(sat_conversion,[],[f20740]) ).
cnf(s2097,plain,
( ~ spl2_76
| ~ spl2_369
| spl2_389 ),
inference(sat_conversion,[],[f20742]) ).
cnf(s2098,plain,
( spl2_293
| spl2_303 ),
inference(sat_conversion,[],[f20743]) ).
cnf(s2104,plain,
( spl2_11
| spl2_345 ),
inference(sat_conversion,[],[f20758]) ).
cnf(s2117,plain,
( spl2_11
| spl2_139
| spl2_143
| ~ spl2_148 ),
inference(sat_conversion,[],[f20842]) ).
cnf(s2119,plain,
( spl2_146
| spl2_182
| spl2_183 ),
inference(sat_conversion,[],[f20869]) ).
cnf(s2122,plain,
( ~ spl2_183
| ~ spl2_316
| spl2_325 ),
inference(sat_conversion,[],[f20878]) ).
cnf(s2134,plain,
( ~ spl2_48
| spl2_143
| spl2_161 ),
inference(sat_conversion,[],[f20984]) ).
cnf(s2139,plain,
( ~ spl2_147
| ~ spl2_296
| ~ spl2_389 ),
inference(sat_conversion,[],[f21034]) ).
cnf(s2154,plain,
( spl2_88
| ~ spl2_138
| ~ spl2_139
| spl2_169 ),
inference(sat_conversion,[],[f21105]) ).
cnf(s2160,plain,
( ~ spl2_161
| ~ spl2_367
| ~ spl2_386 ),
inference(sat_conversion,[],[f21169]) ).
cnf(s2164,plain,
( ~ spl2_56
| ~ spl2_337
| ~ spl2_342 ),
inference(sat_conversion,[],[f21216]) ).
cnf(s2165,plain,
( ~ spl2_54
| ~ spl2_337
| ~ spl2_352 ),
inference(sat_conversion,[],[f21218]) ).
cnf(s2166,plain,
( ~ spl2_56
| ~ spl2_337
| spl2_369 ),
inference(sat_conversion,[],[f21219]) ).
cnf(s2167,plain,
( ~ spl2_155
| ~ spl2_342
| ~ spl2_376 ),
inference(sat_conversion,[],[f21251]) ).
cnf(s2168,plain,
( ~ spl2_155
| spl2_369
| ~ spl2_376 ),
inference(sat_conversion,[],[f21252]) ).
cnf(s2173,plain,
( ~ spl2_45
| ~ spl2_54
| ~ spl2_89
| ~ spl2_426 ),
inference(sat_conversion,[],[f21305]) ).
cnf(s2182,plain,
( ~ spl2_45
| ~ spl2_54
| ~ spl2_360
| ~ spl2_393 ),
inference(sat_conversion,[],[f21431]) ).
cnf(s2191,plain,
( ~ spl2_155
| ~ spl2_180
| ~ spl2_387
| ~ spl2_417 ),
inference(sat_conversion,[],[f21485]) ).
cnf(s2204,plain,
( ~ spl2_89
| ~ spl2_133
| ~ spl2_161
| spl2_196 ),
inference(sat_conversion,[],[f21689]) ).
cnf(s2205,plain,
( ~ spl2_45
| ~ spl2_161
| ~ spl2_180
| spl2_186 ),
inference(sat_conversion,[],[f21690]) ).
cnf(s2206,plain,
( ~ spl2_161
| ~ spl2_360
| spl2_376
| ~ spl2_386 ),
inference(sat_conversion,[],[f21691]) ).
cnf(s2215,plain,
( ~ spl2_153
| ~ spl2_296
| ~ spl2_352
| spl2_367 ),
inference(sat_conversion,[],[f21753]) ).
cnf(s2216,plain,
( ~ spl2_87
| ~ spl2_138
| ~ spl2_157 ),
inference(sat_conversion,[],[f21754]) ).
cnf(s2218,plain,
( ~ spl2_89
| ~ spl2_133
| ~ spl2_161
| spl2_196 ),
inference(sat_conversion,[],[f21759]) ).
cnf(s2223,plain,
( ~ spl2_138
| ~ spl2_168
| ~ spl2_181
| ~ spl2_325 ),
inference(sat_conversion,[],[f21766]) ).
cnf(s2243,plain,
( ~ spl2_155
| spl2_157
| ~ spl2_180
| ~ spl2_321 ),
inference(sat_conversion,[],[f21899]) ).
cnf(s2250,plain,
( ~ spl2_54
| ~ spl2_147
| ~ spl2_153 ),
inference(sat_conversion,[],[f21984]) ).
cnf(s2256,plain,
( ~ spl2_138
| ~ spl2_155
| ~ spl2_168
| ~ spl2_331 ),
inference(sat_conversion,[],[f22062]) ).
cnf(s2271,plain,
( spl2_38
| spl2_47
| spl2_52 ),
inference(sat_conversion,[],[f22272]) ).
cnf(s2298,plain,
( ~ spl2_168
| ~ spl2_348
| ~ spl2_386 ),
inference(sat_conversion,[],[f22487]) ).
cnf(s2300,plain,
( ~ spl2_388
| ~ spl2_390 ),
inference(sat_conversion,[],[f22490]) ).
cnf(s2308,plain,
( ~ spl2_89
| ~ spl2_296
| ~ spl2_360
| spl2_409 ),
inference(sat_conversion,[],[f22691]) ).
cnf(s2309,plain,
( ~ spl2_45
| spl2_337
| ~ spl2_360
| ~ spl2_389 ),
inference(sat_conversion,[],[f22692]) ).
cnf(s2311,plain,
( spl2_169
| ~ spl2_342
| spl2_348
| ~ spl2_387 ),
inference(sat_conversion,[],[f22694]) ).
cnf(s2344,plain,
( ~ spl2_168
| ~ spl2_308
| spl2_376
| ~ spl2_387 ),
inference(sat_conversion,[],[f23098]) ).
cnf(s2345,plain,
( ~ spl2_35
| ~ spl2_136
| ~ spl2_137
| spl2_181 ),
inference(sat_conversion,[],[f23099]) ).
cnf(s2348,plain,
( ~ spl2_52
| ~ spl2_168
| ~ spl2_180
| spl2_186 ),
inference(sat_conversion,[],[f23103]) ).
cnf(s2349,plain,
( spl2_87
| ~ spl2_134
| spl2_140
| ~ spl2_179 ),
inference(sat_conversion,[],[f23104]) ).
cnf(s2352,plain,
( ~ spl2_164
| spl2_181
| ~ spl2_182 ),
inference(sat_conversion,[],[f23111]) ).
cnf(s2353,plain,
( ~ spl2_56
| spl2_157
| ~ spl2_168
| ~ spl2_180 ),
inference(sat_conversion,[],[f23112]) ).
cnf(s2356,plain,
( spl2_76
| ~ spl2_155
| spl2_157
| ~ spl2_180 ),
inference(sat_conversion,[],[f23119]) ).
cnf(s2357,plain,
( ~ spl2_31
| ~ spl2_56
| spl2_157
| spl2_159
| spl2_161
| ~ spl2_180 ),
inference(sat_conversion,[],[f23121]) ).
cnf(s2358,plain,
( ~ spl2_141
| spl2_153
| ~ spl2_193 ),
inference(sat_conversion,[],[f23123]) ).
cnf(s2359,plain,
( ~ spl2_137
| spl2_161
| spl2_167
| ~ spl2_205 ),
inference(sat_conversion,[],[f23124]) ).
cnf(s2360,plain,
( ~ spl2_2
| ~ spl2_137
| spl2_171
| ~ spl2_205 ),
inference(sat_conversion,[],[f23126]) ).
cnf(s2361,plain,
( ~ spl2_136
| ~ spl2_137
| spl2_180 ),
inference(sat_conversion,[],[f23128]) ).
cnf(s2363,plain,
( spl2_143
| spl2_153
| ~ spl2_316
| spl2_331
| ~ spl2_428 ),
inference(sat_conversion,[],[f23131]) ).
cnf(s2365,plain,
( spl2_89
| ~ spl2_137
| spl2_161
| spl2_167 ),
inference(sat_conversion,[],[f23133]) ).
cnf(s2394,plain,
( ~ spl2_133
| ~ spl2_155
| spl2_156
| spl2_157 ),
inference(sat_conversion,[],[f23332]) ).
cnf(s2396,plain,
( ~ spl2_87
| ~ spl2_133
| ~ spl2_168
| spl2_196 ),
inference(sat_conversion,[],[f23334]) ).
cnf(s2408,plain,
( ~ spl2_139
| spl2_169
| ~ spl2_196 ),
inference(sat_conversion,[],[f23491]) ).
cnf(s2419,plain,
( spl2_88
| ~ spl2_135
| ~ spl2_139
| ~ spl2_321 ),
inference(sat_conversion,[],[f23677]) ).
cnf(s2421,plain,
( ~ spl2_87
| spl2_147
| ~ spl2_183
| ~ spl2_327 ),
inference(sat_conversion,[],[f23696]) ).
cnf(s2424,plain,
( ~ spl2_45
| ~ spl2_120
| spl2_153
| ~ spl2_183
| spl2_422 ),
inference(sat_conversion,[],[f23751]) ).
cnf(s2429,plain,
( ~ spl2_45
| ~ spl2_120
| spl2_147
| ~ spl2_183
| spl2_313
| ~ spl2_338
| spl2_352 ),
inference(sat_conversion,[],[f23870]) ).
cnf(s2433,plain,
( ~ spl2_52
| ~ spl2_56
| ~ spl2_87
| ~ spl2_426 ),
inference(sat_conversion,[],[f23878]) ).
cnf(s2434,plain,
( ~ spl2_52
| ~ spl2_135
| ~ spl2_296
| ~ spl2_316
| ~ spl2_389 ),
inference(sat_conversion,[],[f23879]) ).
cnf(s2436,plain,
( spl2_167
| spl2_168
| ~ spl2_303
| ~ spl2_388 ),
inference(sat_conversion,[],[f23881]) ).
cnf(s2437,plain,
( ~ spl2_56
| spl2_58
| ~ spl2_338
| ~ spl2_342 ),
inference(sat_conversion,[],[f23883]) ).
cnf(s2439,plain,
( ~ spl2_45
| spl2_337
| ~ spl2_338
| ~ spl2_360 ),
inference(sat_conversion,[],[f23885]) ).
cnf(s2440,plain,
( ~ spl2_52
| ~ spl2_338
| ~ spl2_348 ),
inference(sat_conversion,[],[f23886]) ).
cnf(s2442,plain,
( ~ spl2_31
| ~ spl2_52
| ~ spl2_56
| spl2_89
| spl2_143
| ~ spl2_426 ),
inference(sat_conversion,[],[f23893]) ).
cnf(s2476,plain,
( ~ spl2_9
| spl2_17
| spl2_76
| ~ spl2_129 ),
inference(sat_conversion,[],[f24151]) ).
cnf(s2477,plain,
( ~ spl2_76
| ~ spl2_169
| spl2_180 ),
inference(sat_conversion,[],[f24152]) ).
cnf(s2479,plain,
( ~ spl2_2
| spl2_41
| ~ spl2_42 ),
inference(sat_conversion,[],[f24155]) ).
cnf(s2482,plain,
( ~ spl2_35
| ~ spl2_76
| ~ spl2_169
| spl2_181 ),
inference(sat_conversion,[],[f24159]) ).
cnf(s2485,plain,
( ~ spl2_9
| spl2_17
| spl2_45
| spl2_47
| ~ spl2_129
| ~ spl2_345 ),
inference(sat_conversion,[],[f24170]) ).
cnf(s2488,plain,
( spl2_45
| spl2_51
| spl2_55 ),
inference(sat_conversion,[],[f24196]) ).
cnf(s2502,plain,
( spl2_72
| ~ spl2_146
| spl2_151 ),
inference(sat_conversion,[],[f24276]) ).
cnf(s2515,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_89
| ~ spl2_331 ),
inference(sat_conversion,[],[f24310]) ).
cnf(s2519,plain,
( spl2_146
| spl2_387
| spl2_388 ),
inference(sat_conversion,[],[f24333]) ).
cnf(s2520,plain,
( spl2_146
| spl2_385
| spl2_386 ),
inference(sat_conversion,[],[f24334]) ).
cnf(s2521,plain,
( spl2_137
| spl2_138
| spl2_146 ),
inference(sat_conversion,[],[f24335]) ).
cnf(s2522,plain,
( spl2_133
| spl2_134
| spl2_146 ),
inference(sat_conversion,[],[f24336]) ).
cnf(s2523,plain,
( spl2_55
| ~ spl2_76
| spl2_80 ),
inference(sat_conversion,[],[f24353]) ).
cnf(s2524,plain,
( spl2_10
| ~ spl2_76
| spl2_81 ),
inference(sat_conversion,[],[f24354]) ).
cnf(s2540,plain,
( spl2_36
| spl2_45
| spl2_89
| ~ spl2_136 ),
inference(sat_conversion,[],[f24454]) ).
cnf(s2541,plain,
( ~ spl2_11
| spl2_17
| spl2_169
| ~ spl2_171 ),
inference(sat_conversion,[],[f24456]) ).
cnf(s2543,plain,
( spl2_11
| spl2_36
| spl2_45
| ~ spl2_76 ),
inference(sat_conversion,[],[f24460]) ).
cnf(s2545,plain,
( spl2_47
| spl2_52
| spl2_55
| spl2_82 ),
inference(sat_conversion,[],[f24481]) ).
cnf(s2552,plain,
( spl2_53
| ~ spl2_54
| ~ spl2_72
| ~ spl2_129 ),
inference(sat_conversion,[],[f24516]) ).
cnf(s2575,plain,
( ~ spl2_35
| ~ spl2_76
| spl2_338
| ~ spl2_369 ),
inference(sat_conversion,[],[f24646]) ).
cnf(s2583,plain,
( ~ spl2_31
| spl2_87
| spl2_89
| spl2_143 ),
inference(sat_conversion,[],[f24791]) ).
cnf(s2584,plain,
( ~ spl2_31
| spl2_45
| spl2_47
| spl2_52 ),
inference(sat_conversion,[],[f24793]) ).
cnf(s2585,plain,
( ~ spl2_173
| ~ spl2_360
| ~ spl2_387 ),
inference(sat_conversion,[],[f24801]) ).
cnf(s2587,plain,
( ~ spl2_137
| ~ spl2_162
| ~ spl2_172 ),
inference(sat_conversion,[],[f24841]) ).
cnf(s2590,plain,
( ~ spl2_388
| spl2_390
| spl2_392 ),
inference(sat_conversion,[],[f24881]) ).
cnf(s2596,plain,
( ~ spl2_183
| ~ spl2_338
| ~ spl2_409 ),
inference(sat_conversion,[],[f24994]) ).
cnf(s2602,plain,
( ~ spl2_181
| ~ spl2_338
| ~ spl2_376 ),
inference(sat_conversion,[],[f25062]) ).
cnf(s2603,plain,
( ~ spl2_169
| ~ spl2_369
| ~ spl2_392 ),
inference(sat_conversion,[],[f25081]) ).
cnf(s2604,plain,
( spl2_89
| ~ spl2_134
| spl2_140
| ~ spl2_218 ),
inference(sat_conversion,[],[f25082]) ).
cnf(s2605,plain,
( ~ spl2_2
| ~ spl2_134
| spl2_153
| ~ spl2_218 ),
inference(sat_conversion,[],[f25083]) ).
cnf(s2606,plain,
( ~ spl2_129
| ~ spl2_135
| ~ spl2_153
| spl2_154 ),
inference(sat_conversion,[],[f25084]) ).
cnf(s2607,plain,
( ~ spl2_56
| spl2_58
| spl2_156
| ~ spl2_183 ),
inference(sat_conversion,[],[f25085]) ).
cnf(s2608,plain,
( ~ spl2_11
| spl2_17
| ~ spl2_54
| spl2_76 ),
inference(sat_conversion,[],[f25086]) ).
cnf(s2609,plain,
( ~ spl2_2
| ~ spl2_23
| spl2_352
| ~ spl2_369 ),
inference(sat_conversion,[],[f25087]) ).
cnf(s2610,plain,
( ~ spl2_2
| ~ spl2_218
| spl2_352
| ~ spl2_385 ),
inference(sat_conversion,[],[f25088]) ).
cnf(s2613,plain,
( spl2_11
| ~ spl2_120
| spl2_342
| spl2_343
| spl2_352 ),
inference(sat_conversion,[],[f25096]) ).
cnf(s2631,plain,
( ~ spl2_52
| ~ spl2_88
| ~ spl2_183 ),
inference(sat_conversion,[],[f25230]) ).
cnf(s2633,plain,
( ~ spl2_56
| spl2_58
| ~ spl2_338
| spl2_369 ),
inference(sat_conversion,[],[f25236]) ).
cnf(s2636,plain,
( spl2_11
| spl2_89
| spl2_140
| ~ spl2_156 ),
inference(sat_conversion,[],[f25239]) ).
cnf(s2647,plain,
( spl2_10
| ~ spl2_169
| spl2_172 ),
inference(sat_conversion,[],[f25317]) ).
cnf(s2657,plain,
( spl2_54
| ~ spl2_120
| spl2_306
| spl2_360
| spl2_389 ),
inference(sat_conversion,[],[f25389]) ).
cnf(s2658,plain,
( spl2_338
| ~ spl2_392
| ~ spl2_479 ),
inference(sat_conversion,[],[f25390]) ).
cnf(s2661,plain,
( spl2_11
| spl2_29
| spl2_31 ),
inference(sat_conversion,[],[f25398]) ).
cnf(s2662,plain,
( spl2_9
| spl2_31
| spl2_33 ),
inference(sat_conversion,[],[f25405]) ).
cnf(s2677,plain,
( spl2_143
| spl2_180
| spl2_219 ),
inference(sat_conversion,[],[f25544]) ).
cnf(s2680,plain,
( ~ spl2_134
| spl2_164
| spl2_167 ),
inference(sat_conversion,[],[f25584]) ).
cnf(s2682,plain,
( ~ spl2_137
| spl2_140
| spl2_164 ),
inference(sat_conversion,[],[f25608]) ).
cnf(s2687,plain,
( spl2_156
| ~ spl2_296
| ~ spl2_342
| spl2_348 ),
inference(sat_conversion,[],[f25652]) ).
cnf(s2690,plain,
( ~ spl2_52
| ~ spl2_157
| ~ spl2_181 ),
inference(sat_conversion,[],[f25683]) ).
cnf(s2691,plain,
( ~ spl2_134
| ~ spl2_176
| ~ spl2_179 ),
inference(sat_conversion,[],[f25684]) ).
cnf(s2696,plain,
( ~ spl2_153
| ~ spl2_171
| ~ spl2_196 ),
inference(sat_conversion,[],[f25833]) ).
cnf(s2703,plain,
( ~ spl2_56
| spl2_58
| spl2_146
| ~ spl2_490 ),
inference(sat_conversion,[],[f25982]) ).
cnf(s2714,plain,
( ~ spl2_87
| ~ spl2_296
| ~ spl2_308
| spl2_409 ),
inference(sat_conversion,[],[f26163]) ).
cnf(s2716,plain,
( ~ spl2_52
| ~ spl2_308
| spl2_337
| ~ spl2_389 ),
inference(sat_conversion,[],[f26165]) ).
cnf(s2717,plain,
( spl2_53
| ~ spl2_54
| ~ spl2_171
| ~ spl2_181 ),
inference(sat_conversion,[],[f26170]) ).
cnf(s2721,plain,
( spl2_45
| ~ spl2_120
| spl2_306
| spl2_338
| spl2_352 ),
inference(sat_conversion,[],[f26178]) ).
cnf(s2722,plain,
( ~ spl2_54
| ~ spl2_161
| spl2_173
| ~ spl2_180 ),
inference(sat_conversion,[],[f26179]) ).
cnf(s2724,plain,
( spl2_33
| spl2_51
| spl2_54 ),
inference(sat_conversion,[],[f26187]) ).
cnf(s2731,plain,
( spl2_167
| ~ spl2_385
| spl2_392 ),
inference(sat_conversion,[],[f26280]) ).
cnf(s2734,plain,
( ~ spl2_161
| ~ spl2_360
| spl2_376
| ~ spl2_387 ),
inference(sat_conversion,[],[f26350]) ).
cnf(s2735,plain,
( ~ spl2_171
| ~ spl2_352
| ~ spl2_376 ),
inference(sat_conversion,[],[f26366]) ).
cnf(s2736,plain,
( ~ spl2_35
| ~ spl2_134
| spl2_183
| ~ spl2_219 ),
inference(sat_conversion,[],[f26367]) ).
cnf(s2737,plain,
( ~ spl2_134
| spl2_135
| ~ spl2_219 ),
inference(sat_conversion,[],[f26369]) ).
cnf(s2739,plain,
( ~ spl2_9
| ~ spl2_308
| ~ spl2_360
| spl2_367 ),
inference(sat_conversion,[],[f26372]) ).
cnf(s2743,plain,
( ~ spl2_72
| spl2_95
| ~ spl2_181 ),
inference(sat_conversion,[],[f26379]) ).
cnf(s2744,plain,
( ~ spl2_171
| ~ spl2_352
| spl2_367
| ~ spl2_387 ),
inference(sat_conversion,[],[f26380]) ).
cnf(s2749,plain,
( ~ spl2_13
| spl2_171
| ~ spl2_172 ),
inference(sat_conversion,[],[f26389]) ).
cnf(s2750,plain,
( spl2_156
| ~ spl2_316
| spl2_331 ),
inference(sat_conversion,[],[f26390]) ).
cnf(s2751,plain,
( ~ spl2_2
| ~ spl2_23
| ~ spl2_169
| spl2_171 ),
inference(sat_conversion,[],[f26394]) ).
cnf(s2753,plain,
( spl2_11
| ~ spl2_120
| spl2_155
| spl2_159
| spl2_171 ),
inference(sat_conversion,[],[f26395]) ).
cnf(s2758,plain,
( ~ spl2_11
| spl2_17
| ~ spl2_153
| spl2_156 ),
inference(sat_conversion,[],[f26435]) ).
cnf(s2761,plain,
( spl2_149
| ~ spl2_156
| spl2_175 ),
inference(sat_conversion,[],[f26480]) ).
cnf(s2762,plain,
( spl2_10
| ~ spl2_156
| spl2_176 ),
inference(sat_conversion,[],[f26481]) ).
cnf(s2765,plain,
( spl2_139
| spl2_143
| spl2_144 ),
inference(sat_conversion,[],[f26497]) ).
cnf(s2768,plain,
( ~ spl2_136
| spl2_140
| spl2_141 ),
inference(sat_conversion,[],[f26518]) ).
cnf(s2773,plain,
( ~ spl2_9
| ~ spl2_348
| ~ spl2_352 ),
inference(sat_conversion,[],[f26550]) ).
cnf(s2774,plain,
( ~ spl2_11
| spl2_17
| ~ spl2_352
| spl2_369 ),
inference(sat_conversion,[],[f26551]) ).
cnf(s2779,plain,
( spl2_161
| spl2_166
| spl2_174 ),
inference(sat_conversion,[],[f26565]) ).
cnf(s2788,plain,
( spl2_10
| ~ spl2_369
| spl2_406 ),
inference(sat_conversion,[],[f26612]) ).
cnf(s2793,plain,
( ~ spl2_196
| ~ spl2_296
| ~ spl2_387 ),
inference(sat_conversion,[],[f26743]) ).
cnf(s2797,plain,
( ~ spl2_138
| ~ spl2_180
| ~ spl2_181
| ~ spl2_426 ),
inference(sat_conversion,[],[f26815]) ).
cnf(s2808,plain,
( spl2_342
| spl2_343
| ~ spl2_345
| spl2_360 ),
inference(sat_conversion,[],[f27029]) ).
cnf(s2818,plain,
( ~ spl2_138
| ~ spl2_296
| ~ spl2_387
| spl2_409 ),
inference(sat_conversion,[],[f27150]) ).
cnf(s2819,plain,
( ~ spl2_181
| spl2_337
| ~ spl2_387
| ~ spl2_389 ),
inference(sat_conversion,[],[f27151]) ).
cnf(s2820,plain,
( ~ spl2_321
| ~ spl2_342
| spl2_348
| ~ spl2_389 ),
inference(sat_conversion,[],[f27152]) ).
cnf(s2822,plain,
( spl2_36
| spl2_52
| ~ spl2_136
| ~ spl2_162 ),
inference(sat_conversion,[],[f27157]) ).
cnf(s2823,plain,
( ~ spl2_58
| ~ spl2_293
| ~ spl2_389 ),
inference(sat_conversion,[],[f27159]) ).
cnf(s2824,plain,
( ~ spl2_133
| ~ spl2_180
| ~ spl2_183
| spl2_186 ),
inference(sat_conversion,[],[f27160]) ).
cnf(s2825,plain,
( ~ spl2_38
| ~ spl2_176
| spl2_183 ),
inference(sat_conversion,[],[f27161]) ).
cnf(s2826,plain,
( ~ spl2_138
| spl2_147
| ~ spl2_181
| ~ spl2_183 ),
inference(sat_conversion,[],[f27162]) ).
cnf(s2827,plain,
( ~ spl2_133
| ~ spl2_296
| spl2_376
| ~ spl2_386 ),
inference(sat_conversion,[],[f27164]) ).
cnf(s2830,plain,
( ~ spl2_133
| ~ spl2_153
| ~ spl2_171
| spl2_173 ),
inference(sat_conversion,[],[f27180]) ).
cnf(s2831,plain,
( ~ spl2_338
| ~ spl2_386
| ~ spl2_389
| ~ spl2_454 ),
inference(sat_conversion,[],[f27181]) ).
cnf(s2833,plain,
( spl2_76
| ~ spl2_342
| spl2_348
| ~ spl2_389 ),
inference(sat_conversion,[],[f27183]) ).
cnf(s2834,plain,
( ~ spl2_11
| ~ spl2_367
| spl2_369 ),
inference(sat_conversion,[],[f27184]) ).
cnf(s2837,plain,
( ~ spl2_38
| ~ spl2_172
| spl2_181 ),
inference(sat_conversion,[],[f27194]) ).
cnf(s2838,plain,
( ~ spl2_13
| spl2_153
| ~ spl2_176 ),
inference(sat_conversion,[],[f27195]) ).
cnf(s2839,plain,
( ~ spl2_180
| spl2_376
| ~ spl2_386
| ~ spl2_389 ),
inference(sat_conversion,[],[f27197]) ).
cnf(s2840,plain,
( ~ spl2_133
| ~ spl2_135
| ~ spl2_180
| spl2_196 ),
inference(sat_conversion,[],[f27198]) ).
cnf(s2842,plain,
( spl2_89
| ~ spl2_120
| spl2_313
| spl2_352
| spl2_404 ),
inference(sat_conversion,[],[f27200]) ).
cnf(s2848,plain,
( spl2_33
| spl2_148
| spl2_153 ),
inference(sat_conversion,[],[f27230]) ).
cnf(s2850,plain,
( spl2_87
| spl2_143
| spl2_152 ),
inference(sat_conversion,[],[f27238]) ).
cnf(s2854,plain,
( spl2_76
| spl2_88
| ~ spl2_135
| ~ spl2_139 ),
inference(sat_conversion,[],[f27275]) ).
cnf(s2858,plain,
( ~ spl2_11
| spl2_88
| ~ spl2_89
| ~ spl2_139 ),
inference(sat_conversion,[],[f27299]) ).
cnf(s2859,plain,
( spl2_45
| ~ spl2_120
| spl2_146
| spl2_153
| spl2_183 ),
inference(sat_conversion,[],[f27300]) ).
cnf(s2860,plain,
( ~ spl2_89
| ~ spl2_138
| spl2_154
| ~ spl2_171 ),
inference(sat_conversion,[],[f27302]) ).
cnf(s2861,plain,
( spl2_9
| spl2_87
| spl2_89
| ~ spl2_120
| spl2_143 ),
inference(sat_conversion,[],[f27303]) ).
cnf(s2862,plain,
( spl2_9
| ~ spl2_120
| spl2_159
| spl2_161
| spl2_168 ),
inference(sat_conversion,[],[f27305]) ).
cnf(s2864,plain,
( spl2_52
| ~ spl2_55 ),
inference(rat,[],[s574,s608]) ).
cnf(s2866,plain,
( spl2_52
| ~ spl2_55 ),
inference(rat,[],[s572,s608]) ).
cnf(s2869,plain,
( spl2_182
| spl2_183 ),
inference(rat,[],[s525,s608]) ).
cnf(s2878,plain,
( spl2_137
| spl2_138 ),
inference(rat,[],[s356,s608]) ).
cnf(s2879,plain,
( spl2_135
| spl2_136 ),
inference(rat,[],[s355,s608]) ).
cnf(s2880,plain,
( spl2_133
| spl2_134 ),
inference(rat,[],[s354,s608]) ).
cnf(s2882,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_55 ),
inference(rat,[],[s273,s608]) ).
cnf(s2883,plain,
( ~ spl2_5
| ~ spl2_55 ),
inference(rat,[],[s261,s608]) ).
cnf(s2904,plain,
( ~ spl2_17
| ~ spl2_45
| spl2_46 ),
inference(rat,[],[s45,s608]) ).
cnf(s2905,plain,
( ~ spl2_55
| ~ spl2_17 ),
inference(rat,[],[s2882,s88]) ).
cnf(s2907,plain,
( spl2_181
| spl2_163
| ~ spl2_41
| ~ spl2_46
| spl2_173
| spl2_159
| ~ spl2_9 ),
inference(rat,[],[s485,s853,s920]) ).
cnf(s2917,plain,
( spl2_87
| ~ spl2_179
| spl2_186
| ~ spl2_181
| spl2_146
| ~ spl2_46
| spl2_143 ),
inference(rat,[],[s610,s846,s512,s1846,s625,s608]) ).
cnf(s2918,plain,
( ~ spl2_87
| ~ spl2_86
| spl2_146
| ~ spl2_17 ),
inference(rat,[],[s815,s855]) ).
cnf(s2919,plain,
( spl2_186
| spl2_87
| ~ spl2_58
| ~ spl2_181
| spl2_163
| spl2_146
| ~ spl2_51
| ~ spl2_46
| ~ spl2_45
| spl2_143 ),
inference(rat,[],[s519,s545,s793,s2917,s1836]) ).
cnf(s2920,plain,
( ~ spl2_56
| ~ spl2_181
| spl2_72
| spl2_54
| ~ spl2_45
| spl2_143
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s2587,s2521,s2647,s667,s2027,s2919,s2033,s465,s2918,s2085,s1763,s2904,s2545,s272,s2724,s334,s2502,s484,s416,s490,s704,s2905,s608]) ).
cnf(s2921,plain,
( ~ spl2_171
| spl2_169
| ~ spl2_137
| ~ spl2_135
| ~ spl2_181
| ~ spl2_45
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s698,s476,s1980,s1823]) ).
cnf(s2923,plain,
( ~ spl2_293
| ~ spl2_157
| spl2_161
| spl2_146
| ~ spl2_17 ),
inference(rat,[],[s2519,s1564,s1565,s1703,s476]) ).
cnf(s2926,plain,
( spl2_360
| ~ spl2_180
| spl2_161
| ~ spl2_181
| spl2_146
| spl2_306
| spl2_54
| ~ spl2_120 ),
inference(rat,[],[s2819,s1894,s2519,s2520,s2657,s1564,s1477,s1727,s476]) ).
cnf(s2927,plain,
( spl2_87
| ~ spl2_338
| spl2_394
| spl2_186
| ~ spl2_181
| spl2_146
| ~ spl2_274
| ~ spl2_46
| ~ spl2_45
| spl2_143
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1482,s2058,s496,s2858,s1752,s1754,s468,s2522,s1583,s846,s1846,s625,s1926,s1836]) ).
cnf(s2928,plain,
( spl2_186
| spl2_169
| ~ spl2_181
| spl2_72
| spl2_54
| ~ spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s610,s856,s860,s2604,s2436,s2521,s626,s2519,s2365,s756,s1932,s855,s1714,s2927,s1488,s2098,s1922,s1703,s2926,s476,s793,s833,s1836,s2904,s2724,s334,s1324,s2271,s2019,s272,s2502,s484,s416,s490,s704,s2905,s608]) ).
cnf(s2929,plain,
( spl2_87
| spl2_169
| ~ spl2_181
| spl2_72
| spl2_54
| ~ spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1482,s1488,s1922,s1703,s2926,s1815,s462,s2058,s1819,s496,s2522,s2858,s1752,s1936,s727,s468,s2360,s739,s781,s2921,s2682,s2521,s667,s2033,s1846,s465,s625,s2904,s2545,s61,s1324,s2271,s2019,s272,s2502,s484,s416,s490,s704,s2905,s1834,s2928,s608]) ).
cnf(s2930,plain,
( spl2_169
| ~ spl2_181
| spl2_72
| spl2_54
| ~ spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2360,s2921,s2521,s667,s727,s2035,s855,s2929,s2928,s2502,s490]) ).
cnf(s2931,plain,
( spl2_293
| ~ spl2_180
| ~ spl2_172
| ~ spl2_181
| spl2_146
| spl2_306
| ~ spl2_274
| ~ spl2_46
| spl2_343 ),
inference(rat,[],[s1932,s2519,s1714,s1883,s1488,s2098]) ).
cnf(s2932,plain,
( ~ spl2_181
| spl2_72
| spl2_54
| ~ spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1562,s2519,s1980,s1808,s1982,s2205,s2926,s2657,s1718,s1703,s2931,s2477,s2647,s2930,s289,s2920,s2904,s1324,s2271,s2019,s272,s704,s2905,s2502,s490,s608]) ).
cnf(s2933,plain,
( spl2_72
| spl2_54
| ~ spl2_45
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2647,s873,s2837,s2907,s2932,s484,s2904,s2271,s272,s740,s612,s36,s416,s490,s704,s2905,s608]) ).
cnf(s2934,plain,
( spl2_54
| ~ spl2_45
| ~ spl2_2
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s855,s465,s429,s723,s611,s2524,s1670,s1671,s330,s2933,s608]) ).
cnf(s2935,plain,
( spl2_87
| spl2_416
| spl2_146
| ~ spl2_129
| ~ spl2_82
| ~ spl2_46
| ~ spl2_45
| spl2_143
| ~ spl2_2 ),
inference(rat,[],[s2606,s1583,s725,s2033,s1846]) ).
cnf(s2936,plain,
( spl2_186
| ~ spl2_181
| spl2_313
| spl2_352
| spl2_146
| spl2_306
| ~ spl2_81
| ~ spl2_76
| ~ spl2_129
| ~ spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1837,s1601,s2831,s496,s1488,s1599,s2055,s1964,s846,s610,s2216,s1754,s2521,s626,s2842,s2365,s756,s855,s1771,s2935,s2520,s2610,s476,s833,s1836,s1926,s36,s2904,s2019,s704,s2545,s272,s2905,s608]) ).
cnf(s2937,plain,
( spl2_87
| ~ spl2_186
| spl2_146
| ~ spl2_54
| ~ spl2_82
| ~ spl2_274
| ~ spl2_46
| ~ spl2_45
| spl2_143
| ~ spl2_2 ),
inference(rat,[],[s2360,s2521,s727,s667,s2173,s2033,s1743,s1846,s1807]) ).
cnf(s2938,plain,
( spl2_169
| spl2_156
| ~ spl2_138
| spl2_89
| ~ spl2_87
| spl2_146
| ~ spl2_11 ),
inference(rat,[],[s2522,s1754,s439,s1632,s672,s626,s756,s2216]) ).
cnf(s2939,plain,
( ~ spl2_181
| spl2_352
| ~ spl2_76
| ~ spl2_54
| ~ spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1964,s2520,s610,s2610,s1754,s833,s2931,s2722,s2477,s2647,s2938,s2057,s667,s2521,s2360,s626,s2842,s727,s756,s855,s1771,s2937,s1807,s2936,s1834,s2904,s2545,s795,s2524,s1324,s2271,s2019,s272,s2502,s2012,s484,s416,s1760,s704,s2905,s330,s1669,s608]) ).
cnf(s2940,plain,
( spl2_87
| spl2_171
| ~ spl2_155
| spl2_161
| ~ spl2_168
| spl2_313
| spl2_352
| ~ spl2_76
| ~ spl2_54
| ~ spl2_82
| ~ spl2_274
| ~ spl2_46
| ~ spl2_45
| spl2_143
| ~ spl2_11
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1538,s2097,s610,s1835,s1754,s2842,s1524,s2173,s1286,s2033,s1743,s1846,s625,s2298,s2520,s2610,s833,s2502,s330,s1669,s1760,s608]) ).
cnf(s2941,plain,
( ~ spl2_45
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s856,s610,s860,s1754,s2521,s626,s2365,s756,s855,s2940,s485,s476,s873,s672,s1750,s2482,s853,s2939,s2012,s484,s416,s1389,s2502,s1324,s1760,s2523,s330,s1642,s795,s1669,s2934,s2545,s2019,s2271,s2904,s272,s36,s704,s2905,s608]) ).
cnf(s2942,plain,
( spl2_186
| spl2_87
| ~ spl2_46
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_306
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_120 ),
inference(rat,[],[s1891,s2519,s2308,s1932,s2596,s1714,s1488,s1703,s2926,s2086,s2019,s1754,s2680,s1819,s1750,s530,s2522,s545,s846,s2917,s704,s2905,s2012,s625,s1846]) ).
cnf(s2943,plain,
( ~ spl2_81
| spl2_409
| spl2_293
| ~ spl2_360
| ~ spl2_180
| spl2_161
| ~ spl2_186
| ~ spl2_183
| spl2_87
| ~ spl2_181
| spl2_163
| spl2_146 ),
inference(rat,[],[s2308,s1892,s2365,s2682,s2521,s2519,s2797,s1808,s1743,s1599,s2022,s625,s476]) ).
cnf(s2944,plain,
( spl2_161
| spl2_87
| ~ spl2_46
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_306
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s1738,s2765,s2007,s810,s2818,s2440,s2826,s2519,s2019,s2521,s1883,s2931,s2587,s2647,s2027,s2028,s2943,s2596,s1488,s2098,s1703,s2926,s2086,s704,s2905,s2012,s465,s1846,s2942,s608]) ).
cnf(s2945,plain,
( spl2_87
| ~ spl2_46
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_306
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s2860,s504,s2035,s2084,s2826,s667,s610,s2521,s512,s462,s475,s545,s1750,s2944,s2942,s1846,s465,s625,s61,s608]) ).
cnf(s2946,plain,
( spl2_161
| spl2_89
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_54
| ~ spl2_120 ),
inference(rat,[],[s790,s745,s610,s2521,s1754,s2359,s2086,s476,s2035,s727,s626,s756,s608]) ).
cnf(s2947,plain,
( spl2_169
| ~ spl2_161
| ~ spl2_205
| ~ spl2_87
| spl2_146
| ~ spl2_11
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2521,s2360,s1632,s1823]) ).
cnf(s2948,plain,
( ~ spl2_137
| ~ spl2_161
| spl2_58
| ~ spl2_135
| ~ spl2_87
| ~ spl2_46
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_306
| spl2_45
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2575,s1905,s1179,s2714,s1739,s1377,s1703,s1174,s2931,s2022,s850,s289,s2028,s814,s2703,s2859,s2021,s708,s1770,s1742,s728,s496,s782,s840,s2360,s2682,s36,s704,s2905,s2012,s735,s626,s756,s2647,s2947,s727,s855,s608]) ).
cnf(s2949,plain,
( spl2_360
| ~ spl2_147
| ~ spl2_148
| spl2_313
| spl2_306
| spl2_54
| ~ spl2_120 ),
inference(rat,[],[s2139,s1739,s2657]) ).
cnf(s2950,plain,
( ~ spl2_46
| ~ spl2_181
| spl2_72
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2734,s2519,s2602,s2436,s1488,s2098,s1703,s2949,s745,s2521,s2948,s475,s1750,s2946,s2085,s735,s756,s2035,s2918,s855,s2945,s1331,s704,s2905,s2502,s490,s2012,s484,s417,s43,s2941]) ).
cnf(s2951,plain,
( ~ spl2_137
| ~ spl2_180
| spl2_167
| ~ spl2_162
| ~ spl2_52
| ~ spl2_181
| spl2_10 ),
inference(rat,[],[s2014,s519,s2647,s462,s2587]) ).
cnf(s2952,plain,
( ~ spl2_155
| spl2_426
| ~ spl2_138
| ~ spl2_180
| spl2_87
| spl2_157
| spl2_143
| spl2_10 ),
inference(rat,[],[s2765,s1784,s1768,s1743,s2022,s2524,s750,s518,s2356,s608]) ).
cnf(s2953,plain,
( ~ spl2_389
| ~ spl2_387
| spl2_293
| ~ spl2_180
| ~ spl2_52
| ~ spl2_181
| spl2_146 ),
inference(rat,[],[s1473,s2520,s545,s1894,s530,s2819,s1808,s1691]) ).
cnf(s2954,plain,
( spl2_161
| spl2_87
| ~ spl2_52
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_306
| spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s1738,s2765,s2007,s2858,s2773,s468,s2721,s2859,s2308,s1981,s2826,s1903,s1894,s790,s2520,s610,s1473,s512,s545,s2353,s2028,s1599,s2953,s2519,s1883,s2647,s672,s2952,s2797,s2521,s2951,s1691,s2098,s1703,s2926,s2946,s2086,s476,s2012,s2690,s625,s465,s608]) ).
cnf(s2955,plain,
( ~ spl2_293
| ~ spl2_144
| ~ spl2_56
| spl2_171
| ~ spl2_196
| ~ spl2_52
| spl2_313
| spl2_146
| spl2_306
| spl2_54
| spl2_343
| ~ spl2_17
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1738,s2793,s2164,s2519,s2716,s1562,s2657,s1718,s1703,s1174]) ).
cnf(s2956,plain,
( ~ spl2_89
| spl2_87
| ~ spl2_52
| ~ spl2_181
| spl2_72
| spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2773,s2007,s2721,s1738,s2657,s1981,s2793,s2953,s1894,s2519,s2520,s2436,s1473,s1691,s2098,s2955,s2765,s2028,s2858,s723,s468,s611,s2859,s745,s2826,s504,s781,s2860,s2218,s61,s2012,s2521,s462,s465,s475,s2084,s610,s512,s545,s1750,s625,s2954,s484,s417,s43,s2502,s1331,s704,s2905,s490,s608]) ).
cnf(s2957,plain,
( spl2_87
| ~ spl2_52
| ~ spl2_181
| spl2_72
| spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2519,s2436,s2585,s2098,s2830,s1703,s2859,s504,s2949,s846,s745,s667,s735,s2035,s2956,s610,s2521,s512,s462,s475,s545,s1750,s2954,s755,s465,s625,s61,s1331,s704,s2905,s2502,s490,s2012,s484,s417,s43,s608]) ).
cnf(s2958,plain,
( ~ spl2_164
| ~ spl2_169
| ~ spl2_87
| ~ spl2_52
| ~ spl2_181
| spl2_163
| spl2_146
| spl2_306
| spl2_54
| spl2_45
| spl2_159
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2519,s2953,s2436,s1599,s2098,s1703,s2949,s2421,s2859,s850,s708,s2028,s814,s728,s2063,s840,s1960,s2012,s2041,s1771,s2035,s735,s756,s1742,s2690,s475,s1750,s2946,s855,s608]) ).
cnf(s2959,plain,
( ~ spl2_181
| spl2_72
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2859,s708,s846,s2084,s667,s610,s2521,s2680,s2682,s2958,s475,s1750,s2947,s626,s2946,s727,s756,s2035,s855,s2957,s797,s2950,s1331,s704,s2905,s2502,s490,s484,s417,s43,s2941,s608]) ).
cnf(s2960,plain,
( ~ spl2_46
| spl2_181
| spl2_163
| spl2_54
| ~ spl2_41
| spl2_159
| ~ spl2_17
| ~ spl2_11
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s289,s2353,s2482,s2086,s873,s1750,s2907,s853,s36,s704,s2905,s782,s920]) ).
cnf(s2961,plain,
( ~ spl2_137
| ~ spl2_162
| spl2_167
| ~ spl2_171
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s873,s485,s2647,s462,s2587]) ).
cnf(s2962,plain,
( ~ spl2_76
| ~ spl2_133
| ~ spl2_156
| ~ spl2_138
| ~ spl2_180
| ~ spl2_35 ),
inference(rat,[],[s667,s2824,s2057,s2055]) ).
cnf(s2963,plain,
( spl2_360
| ~ spl2_186
| spl2_161
| spl2_146
| spl2_306
| spl2_54
| ~ spl2_120 ),
inference(rat,[],[s2519,s1808,s1564,s2657,s476]) ).
cnf(s2964,plain,
( ~ spl2_186
| ~ spl2_133
| spl2_168
| ~ spl2_138
| spl2_140
| spl2_161
| ~ spl2_171
| spl2_146
| spl2_306
| spl2_54
| ~ spl2_17
| ~ spl2_120 ),
inference(rat,[],[s2436,s2519,s2098,s2585,s1703,s2963,s2830,s2358,s360,s611,s667,s612,s476,s608]) ).
cnf(s2965,plain,
( ~ spl2_293
| ~ spl2_180
| spl2_161
| ~ spl2_52
| spl2_146
| spl2_306
| spl2_54
| ~ spl2_17
| ~ spl2_120 ),
inference(rat,[],[s1894,s2520,s2716,s1477,s2657,s1727,s1703,s1174]) ).
cnf(s2966,plain,
( ~ spl2_89
| ~ spl2_138
| spl2_87
| ~ spl2_180
| spl2_161
| ~ spl2_52
| ~ spl2_171
| spl2_313
| spl2_146
| spl2_306
| spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2721,s2440,s2735,s2833,s2839,s1738,s2657,s2765,s2585,s2858,s2830,s468,s2859,s2818,s2824,s1903,s2964,s2962,s2520,s610,s2519,s1473,s512,s728,s2436,s545,s2860,s478,s36,s704,s2905,s476,s2098,s1691,s2965,s625,s608]) ).
cnf(s2967,plain,
( spl2_87
| ~ spl2_180
| spl2_161
| ~ spl2_52
| ~ spl2_171
| spl2_313
| spl2_146
| spl2_306
| spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2696,s2859,s2840,s2824,s610,s667,s1754,s2035,s2966,s2521,s2961,s465,s625,s476,s608]) ).
cnf(s2968,plain,
( spl2_161
| ~ spl2_52
| ~ spl2_171
| spl2_163
| spl2_146
| spl2_306
| spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2696,s2859,s2840,s2824,s610,s667,s1754,s2521,s626,s2365,s756,s2035,s855,s2967,s2086,s476,s2012,s608]) ).
cnf(s2969,plain,
( ~ spl2_180
| spl2_186
| ~ spl2_135
| ~ spl2_133
| ~ spl2_171
| spl2_146
| spl2_45
| ~ spl2_120 ),
inference(rat,[],[s2859,s2696,s2824,s2840]) ).
cnf(s2970,plain,
( ~ spl2_293
| ~ spl2_135
| spl2_89
| ~ spl2_52
| spl2_313
| spl2_306
| spl2_54
| ~ spl2_17
| ~ spl2_120 ),
inference(rat,[],[s2716,s1377,s2657,s1703,s1174]) ).
cnf(s2971,plain,
( spl2_87
| ~ spl2_161
| ~ spl2_52
| ~ spl2_171
| spl2_313
| spl2_146
| spl2_306
| spl2_54
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2842,s1566,s2744,s1903,s2160,s2519,s2520,s2436,s1473,s1691,s2098,s2970,s2035,s2860,s2084,s2521,s610,s2961,s512,s465,s625,s545,s475,s1750,s608]) ).
cnf(s2972,plain,
( spl2_72
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s610,s2084,s2680,s708,s1960,s2859,s2063,s1688,s2035,s2433,s855,s1771,s2971,s289,s2482,s475,s1823,s1750,s2968,s797,s2960,s920,s2959,s2012,s484,s2502,s1331,s36,s704,s2905,s2479,s490,s417,s43,s2941,s608]) ).
cnf(s2973,plain,
( ~ spl2_95
| spl2_54
| ~ spl2_17
| spl2_10
| ~ spl2_2 ),
inference(rat,[],[s855,s465,s429,s723,s611,s2524,s1670,s1671,s608]) ).
cnf(s2974,plain,
( spl2_54
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2960,s482,s797,s920,s331,s2743,s2973,s2972,s2479,s43,s2941,s608]) ).
cnf(s2975,plain,
( ~ spl2_376
| ~ spl2_76
| ~ spl2_155
| ~ spl2_181
| ~ spl2_35 ),
inference(rat,[],[s2575,s2602,s2168]) ).
cnf(s2976,plain,
( ~ spl2_293
| spl2_376
| spl2_347
| ~ spl2_168
| ~ spl2_174
| ~ spl2_17 ),
inference(rat,[],[s1428,s1703,s1174]) ).
cnf(s2977,plain,
( ~ spl2_137
| spl2_306
| ~ spl2_89
| ~ spl2_183
| spl2_87
| ~ spl2_46
| ~ spl2_180
| spl2_161
| spl2_163
| spl2_146
| ~ spl2_181
| spl2_58
| spl2_343
| ~ spl2_17
| spl2_10 ),
inference(rat,[],[s2308,s1892,s1477,s2519,s2520,s1932,s2839,s2596,s1714,s1599,s1488,s1691,s2976,s2975,s289,s2028,s1504,s2026,s672,s2019,s1286,s2647,s2951,s462,s2587,s2682,s36,s704,s2905,s476,s2779,s802,s625,s465,s608]) ).
cnf(s2978,plain,
( ~ spl2_147
| ~ spl2_180
| ~ spl2_218
| spl2_146
| ~ spl2_54
| ~ spl2_2 ),
inference(rat,[],[s2522,s2605,s790,s2250]) ).
cnf(s2979,plain,
( spl2_87
| ~ spl2_46
| spl2_147
| ~ spl2_180
| spl2_161
| spl2_163
| spl2_146
| ~ spl2_181
| spl2_72
| spl2_58
| spl2_143
| spl2_343
| ~ spl2_17
| spl2_10 ),
inference(rat,[],[s1322,s2019,s2977,s2951,s2365,s2521,s2826,s1846,s465,s704,s2905,s476]) ).
cnf(s2980,plain,
( spl2_89
| spl2_147
| spl2_161
| spl2_146
| ~ spl2_181
| spl2_45
| spl2_36 ),
inference(rat,[],[s745,s2521,s611,s2365,s2540,s476,s608]) ).
cnf(s2981,plain,
( spl2_161
| spl2_163
| spl2_146
| ~ spl2_181
| spl2_72
| ~ spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s153,s2524,s390,s158,s55,s797,s2979,s855,s2980,s2978,s793,s833,s704,s2488,s2905,s120,s608]) ).
cnf(s2982,plain,
( ~ spl2_46
| spl2_87
| spl2_168
| spl2_163
| spl2_146
| ~ spl2_181
| ~ spl2_54
| spl2_143
| spl2_36
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s158,s55,s2524,s2822,s1862,s611,s790,s667,s2826,s2917,s1846,s610,s512,s625,s545,s2521,s462,s465,s475,s608]) ).
cnf(s2983,plain,
( ~ spl2_52
| ~ spl2_161
| ~ spl2_181
| ~ spl2_54
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s2477,s1982,s158,s2014,s55,s120]) ).
cnf(s2984,plain,
( spl2_163
| spl2_146
| ~ spl2_181
| spl2_72
| ~ spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2859,s2250,s1688,s745,s2797,s2521,s2360,s611,s2717,s2540,s727,s1982,s855,s1855,s2982,s2019,s797,s2983,s1750,s2981,s704,s2905,s608]) ).
cnf(s2985,plain,
( ~ spl2_163
| ~ spl2_181
| spl2_72
| spl2_58
| spl2_36 ),
inference(rat,[],[s2026,s483,s1677,s1760,s416,s484]) ).
cnf(s2986,plain,
( ~ spl2_146
| spl2_72
| ~ spl2_35 ),
inference(rat,[],[s1613,s392,s398]) ).
cnf(s2987,plain,
( ~ spl2_181
| spl2_72
| ~ spl2_54
| spl2_45
| spl2_143
| spl2_343
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2984,s2985,s120,s2986,s36,s704,s2905]) ).
cnf(s2988,plain,
( ~ spl2_169
| spl2_181
| ~ spl2_54
| ~ spl2_35
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s55,s2271,s158,s2837,s2482,s2647,s608]) ).
cnf(s2989,plain,
( spl2_181
| ~ spl2_54
| ~ spl2_41
| spl2_36
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s158,s55,s2524,s2019,s1861,s1855,s485,s1907,s873,s2988,s920,s36,s795]) ).
cnf(s2990,plain,
( spl2_20
| ~ spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2987,s2743,s2989,s1669,s2974,s2479,s43,s2941,s381,s454,s1200,s704,s2905]) ).
cnf(s2991,plain,
( ~ spl2_20
| spl2_10 ),
inference(rat,[],[s616,s618]) ).
cnf(s2992,plain,
( ~ spl2_147
| spl2_87
| spl2_346
| spl2_394
| ~ spl2_180
| ~ spl2_218
| ~ spl2_45
| spl2_36
| spl2_146
| spl2_306
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_2 ),
inference(rat,[],[s1487,s1494,s1482,s2523,s2019,s2864,s289,s220,s1763,s2058,s519,s2758,s545,s2605,s2349,s2522,s790,s625]) ).
cnf(s2993,plain,
( spl2_87
| spl2_346
| spl2_394
| ~ spl2_89
| ~ spl2_180
| ~ spl2_218
| ~ spl2_45
| spl2_36
| spl2_146
| spl2_306
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s153,s2524,s390,s158,s81,s1653,s2992,s732,s755,s608]) ).
cnf(s2994,plain,
( spl2_52
| ~ spl2_176
| spl2_346
| spl2_394
| ~ spl2_89
| ~ spl2_45
| spl2_36
| spl2_143
| spl2_10 ),
inference(rat,[],[s2788,s1835,s1897,s1494,s1482,s1653,s2019,s2271,s919,s608]) ).
cnf(s2995,plain,
( spl2_161
| ~ spl2_45
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2057,s854,s158,s81,s2994,s2058,s2750,s1771,s2993,s1387,s1922,s2515,s2926,s2946,s2086,s833,s1338,s2502,s484,s416,s490]) ).
cnf(s2996,plain,
( spl2_87
| ~ spl2_274
| ~ spl2_46
| ~ spl2_180
| spl2_168
| spl2_146
| ~ spl2_181
| spl2_143 ),
inference(rat,[],[s2521,s2797,s462,s1743,s1846,s465,s475]) ).
cnf(s2997,plain,
( ~ spl2_89
| ~ spl2_316
| spl2_52
| ~ spl2_180
| ~ spl2_179
| ~ spl2_45
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s790,s610,s1653,s2691,s919,s2058,s2750,s2515,s608]) ).
cnf(s2998,plain,
( ~ spl2_180
| ~ spl2_161
| ~ spl2_45
| spl2_36
| spl2_146
| spl2_54
| ~ spl2_181
| spl2_143
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2521,s2360,s667,s727,s2035,s2997,s1771,s2996,s2019,s797,s81,s1980,s1982,s1836,s545,s1582,s1834,s608]) ).
cnf(s2999,plain,
( ~ spl2_45
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s158,s2524,s1980,s1862,s781,s2998,s1582,s2995,s1834,s61,s2502,s484,s416,s490]) ).
cnf(s3001,plain,
( ~ spl2_293
| spl2_376
| spl2_171
| spl2_347
| ~ spl2_168
| ~ spl2_360
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s2773,s1427,s1402,s1174]) ).
cnf(s3002,plain,
( spl2_87
| ~ spl2_274
| ~ spl2_46
| ~ spl2_360
| ~ spl2_89
| ~ spl2_180
| spl2_167
| spl2_313
| ~ spl2_35
| spl2_146
| spl2_306
| ~ spl2_181
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s1891,s2519,s2308,s1932,s2596,s1714,s1488,s3001,s2975,s289,s2026,s672,s2647,s2961,s2587,s2682,s1504,s2521,s1286,s519,s2797,s2996,s1743,s1846,s465,s625]) ).
cnf(s3003,plain,
( ~ spl2_168
| ~ spl2_183
| ~ spl2_316
| ~ spl2_274
| ~ spl2_46
| ~ spl2_360
| ~ spl2_89
| ~ spl2_180
| spl2_313
| ~ spl2_35
| spl2_146
| spl2_306
| ~ spl2_181
| spl2_17
| spl2_343
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s1891,s2519,s2308,s1932,s2596,s1714,s1488,s3001,s2975,s1504,s289,s1277,s2026,s826,s672,s1960,s1793,s1813,s2521,s2223,s519,s1959,s2515,s2122]) ).
cnf(s3004,plain,
( ~ spl2_293
| ~ spl2_76
| ~ spl2_454
| ~ spl2_360
| ~ spl2_218
| spl2_45
| spl2_146
| spl2_306
| ~ spl2_11
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2520,s2831,s2097,s2610,s2721,s2834,s2773,s2739,s1402,s1174]) ).
cnf(s3005,plain,
( spl2_52
| ~ spl2_360
| ~ spl2_89
| ~ spl2_180
| spl2_167
| ~ spl2_218
| spl2_45
| spl2_313
| spl2_36
| spl2_146
| spl2_306
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2520,s2831,s1473,s1599,s1488,s1691,s3004,s289,s2028,s2027,s1960,s1793,s1813,s2521,s2826,s846,s790,s610,s2691,s1837,s545,s3003,s2825,s2058,s2750,s1771,s3002,s2019,s797,s2271,s36,s2515,s608]) ).
cnf(s3006,plain,
( ~ spl2_183
| ~ spl2_169
| ~ spl2_138
| ~ spl2_52
| ~ spl2_89
| ~ spl2_180
| spl2_167
| spl2_146
| ~ spl2_181
| ~ spl2_11 ),
inference(rat,[],[s2680,s840,s2522,s496,s790,s2858,s2826,s2631]) ).
cnf(s3007,plain,
( ~ spl2_348
| ~ spl2_52
| spl2_45
| spl2_306
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2721,s2440,s2773]) ).
cnf(s3008,plain,
( spl2_87
| spl2_293
| spl2_342
| ~ spl2_52
| ~ spl2_360
| ~ spl2_89
| ~ spl2_180
| spl2_167
| spl2_45
| spl2_313
| ~ spl2_35
| spl2_146
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s1903,s2520,s2308,s1473,s1738,s545,s2353,s610,s289,s2680,s2765,s2055,s840,s2858,s2758,s468,s2859,s3006,s672,s2952,s2797,s2521,s2951,s465,s2690,s1691,s608]) ).
cnf(s3009,plain,
( ~ spl2_179
| ~ spl2_409
| ~ spl2_176
| spl2_293
| spl2_146 ),
inference(rat,[],[s1903,s2520,s610,s1473,s2691,s1691,s608]) ).
cnf(s3010,plain,
( spl2_161
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2421,s1182,s1784,s814,s2353,s545,s3009,s2308,s1738,s2765,s2058,s1959,s2750,s1771,s3008,s1402,s2007,s3007,s2690,s2041,s3005,s2515,s2926,s2946,s2086,s476,s833,s1338,s2502,s36,s2012,s484,s416,s490,s2999,s608]) ).
cnf(s3011,plain,
( spl2_87
| ~ spl2_274
| ~ spl2_46
| ~ spl2_180
| ~ spl2_161
| spl2_146
| ~ spl2_181
| spl2_143
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s2587,s2647,s2521,s873,s2797,s1815,s1743,s2996,s1846,s465]) ).
cnf(s3012,plain,
( ~ spl2_168
| ~ spl2_325
| spl2_331
| ~ spl2_316
| ~ spl2_161
| spl2_146
| ~ spl2_181
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s1793,s1813,s1960,s2521,s873,s2223,s1815]) ).
cnf(s3013,plain,
( spl2_331
| ~ spl2_87
| ~ spl2_38
| ~ spl2_180
| ~ spl2_161
| spl2_146
| ~ spl2_181
| spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s826,s739,s1960,s1793,s1813,s2521,s2826,s708,s790,s2084,s610,s2691,s545,s3012,s2122,s2825,s2058,s2750,s1771,s608]) ).
cnf(s3015,plain,
( ~ spl2_360
| ~ spl2_173
| ~ spl2_308
| ~ spl2_169
| spl2_146
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s2603,s1882,s2300,s2834,s2519,s2739,s2585]) ).
cnf(s3016,plain,
( spl2_360
| ~ spl2_308
| ~ spl2_169
| spl2_89
| ~ spl2_87
| spl2_313
| spl2_72
| spl2_54
| ~ spl2_181
| ~ spl2_120 ),
inference(rat,[],[s496,s1905,s840,s2603,s1793,s1882,s2521,s2519,s745,s2714,s2819,s2949,s1739,s1377,s2657,s1727,s1338,s2035,s2502,s490,s735,s626,s756]) ).
cnf(s3017,plain,
( spl2_52
| ~ spl2_180
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1975,s545,s2520,s2788,s1582,s2160,s2834,s3015,s2739,s3016,s1174,s2931,s2647,s2947,s727,s2515,s3013,s3011,s2019,s797,s2271,s1338,s2502,s2012,s484,s416,s490,s3010,s608]) ).
cnf(s3018,plain,
( ~ spl2_168
| ~ spl2_138
| spl2_87
| ~ spl2_52
| ~ spl2_180
| spl2_146
| ~ spl2_181
| spl2_143
| spl2_10 ),
inference(rat,[],[s153,s2033,s2028,s667,s2353,s530,s2690,s608]) ).
cnf(s3019,plain,
( spl2_360
| ~ spl2_321
| ~ spl2_144
| spl2_171
| ~ spl2_196
| spl2_348
| spl2_313
| spl2_72
| spl2_54
| spl2_343
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2793,s1738,s2519,s2820,s1562,s2657,s1718,s1338,s2502,s490]) ).
cnf(s3020,plain,
( spl2_87
| ~ spl2_89
| ~ spl2_180
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3008,s2007,s1402,s3019,s1762,s289,s2765,s2057,s2858,s745,s2860,s2758,s468,s2204,s790,s2084,s2859,s610,s3006,s512,s475,s545,s3018,s2521,s2587,s465,s625,s2502,s36,s2012,s484,s416,s3007,s2999,s1338,s490,s2647,s2029,s3017,s3010,s608]) ).
cnf(s3021,plain,
( ~ spl2_168
| ~ spl2_144
| ~ spl2_316
| spl2_331
| spl2_157
| ~ spl2_180
| ~ spl2_161
| spl2_146
| ~ spl2_181
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s2122,s1784,s3012,s2353,s608]) ).
cnf(s3022,plain,
( ~ spl2_89
| ~ spl2_180
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2859,s2421,s708,s790,s2084,s610,s2691,s545,s3021,s2765,s2058,s1959,s2750,s1771,s3020,s2515,s2502,s490,s2999,s3010,s2041,s2690,s3017,s608]) ).
cnf(s3023,plain,
( spl2_87
| spl2_140
| ~ spl2_135
| ~ spl2_172
| ~ spl2_52
| ~ spl2_180
| spl2_146
| ~ spl2_181
| spl2_143
| spl2_10 ),
inference(rat,[],[s2522,s512,s790,s545,s745,s3018,s2521,s2587,s465]) ).
cnf(s3024,plain,
( ~ spl2_168
| ~ spl2_87
| spl2_140
| ~ spl2_148
| ~ spl2_135
| ~ spl2_172
| ~ spl2_52
| ~ spl2_161
| spl2_45
| spl2_313
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| ~ spl2_11
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s1883,s2519,s2098,s2585,s1402,s2949,s2421,s2859,s2758,s840,s1793,s2521,s667,s530,s1815,s2502,s2041,s2029,s3007,s1338,s490]) ).
cnf(s3025,plain,
( spl2_360
| ~ spl2_316
| ~ spl2_148
| ~ spl2_135
| ~ spl2_52
| spl2_313
| spl2_306
| spl2_54
| ~ spl2_120 ),
inference(rat,[],[s2434,s1739,s2657]) ).
cnf(s3026,plain,
( ~ spl2_180
| spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1738,s2215,s2765,s2859,s1959,s1688,s2063,s2433,s2028,s2721,s1599,s1981,s2953,s1894,s2160,s2519,s2520,s2436,s1473,s1691,s2098,s2007,s1402,s3025,s475,s545,s3024,s1771,s3023,s626,s735,s756,s2035,s3022,s2647,s3007,s2029,s3017,s1338,s2502,s2012,s484,s416,s490,s2999,s3010,s608]) ).
cnf(s3027,plain,
( spl2_87
| ~ spl2_89
| ~ spl2_172
| ~ spl2_171
| ~ spl2_161
| spl2_146
| ~ spl2_9 ),
inference(rat,[],[s2522,s512,s2084,s545,s2860,s478,s2521,s2587,s465,s625]) ).
cnf(s3028,plain,
( ~ spl2_89
| ~ spl2_172
| spl2_167
| ~ spl2_169
| ~ spl2_171
| ~ spl2_161
| spl2_146
| ~ spl2_11
| ~ spl2_9 ),
inference(rat,[],[s1793,s1813,s2521,s2860,s2084,s610,s2680,s1960,s1771,s3027,s2515,s608]) ).
cnf(s3029,plain,
( spl2_87
| ~ spl2_148
| ~ spl2_135
| ~ spl2_56
| ~ spl2_172
| spl2_167
| ~ spl2_169
| ~ spl2_171
| spl2_45
| spl2_313
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_143
| ~ spl2_11
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2436,s2098,s2519,s1402,s2585,s530,s3007,s2830,s797,s2859,s1846,s846,s610,s2680,s840,s811,s2949,s745,s667,s2521,s2587,s465,s1338,s2502,s490,s608]) ).
cnf(s3030,plain,
( spl2_156
| spl2_58
| ~ spl2_56
| spl2_45
| spl2_146
| spl2_17
| ~ spl2_11
| ~ spl2_120 ),
inference(rat,[],[s2859,s2758,s2607]) ).
cnf(s3032,plain,
( spl2_36
| spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2859,s846,s708,s667,s2084,s2521,s610,s2682,s2680,s840,s3030,s418,s3029,s626,s735,s756,s2035,s3028,s289,s2477,s2647,s474,s2541,s801,s781,s3026,s3010,s2999,s2012,s484,s416,s61,s2502,s490,s608]) ).
cnf(s3033,plain,
( ~ spl2_89
| ~ spl2_82
| ~ spl2_53
| spl2_154
| spl2_146
| ~ spl2_50
| spl2_143
| ~ spl2_9 ),
inference(rat,[],[s708,s390,s432]) ).
cnf(s3034,plain,
( spl2_72
| spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2477,s1982,s2029,s2946,s3033,s153,s2524,s81,s484,s433,s668,s88,s2864,s492,s704,s3032,s2502,s644,s490,s61]) ).
cnf(s3035,plain,
( spl2_54
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2358,s2768,s2758,s361,s2057,s611,s1670,s1671,s2743,s3034,s612,s608]) ).
cnf(s3036,plain,
( spl2_87
| ~ spl2_89
| spl2_147
| spl2_161
| spl2_36
| ~ spl2_180
| ~ spl2_76
| ~ spl2_54
| ~ spl2_181
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s1487,s1981,s2311,s1894,s2298,s2519,s2520,s2647,s1564,s1477,s1727,s2587,s2523,s3002,s2982,s2521,s2864,s797,s745,s55,s2033,s390,s465,s1338,s2502,s1760,s2022,s153,s2524,s36,s2012,s2985,s2743,s1669,s120,s476,s608]) ).
cnf(s3037,plain,
( ~ spl2_89
| spl2_161
| spl2_36
| ~ spl2_180
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2774,s2721,s2097,s1981,s2839,s1894,s2975,s2519,s2520,s672,s1564,s1477,s1727,s1960,s3005,s1793,s1813,s2041,s2521,s2421,s2826,s1752,s2055,s2750,s1771,s3036,s2515,s1338,s36,s2012,s2985,s120,s476,s2978,s833,s2502,s2743,s1669,s1760,s2608,s3035]) ).
cnf(s3038,plain,
( spl2_161
| spl2_36
| ~ spl2_180
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1964,s2931,s2520,s2647,s2610,s1557,s1771,s2938,s1389,s909,s875,s2033,s2057,s610,s797,s2523,s1907,s745,s1754,s220,s274,s1834,s2521,s626,s2980,s2365,s756,s3037,s2978,s476,s833,s637,s795,s1338,s2502,s1760,s2022,s153,s2524,s2608,s2012,s2985,s2743,s1669,s120,s3035,s608]) ).
cnf(s3039,plain,
( spl2_36
| ~ spl2_180
| ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2859,s2250,s1688,s745,s2797,s2521,s611,s2360,s2540,s727,s2515,s3013,s3011,s2717,s1834,s797,s2271,s1982,s2722,s2983,s3038,s2502,s2743,s1669,s1760,s2022,s2524,s2608,s3035,s608]) ).
cnf(s3040,plain,
( ~ spl2_55
| ~ spl2_54
| spl2_91 ),
inference(rat,[],[s274,s88]) ).
cnf(s3041,plain,
( ~ spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2736,s2522,s2429,s2827,s1182,s1740,s2311,s2182,s2519,s1714,s2590,s1488,s1691,s1585,s2298,s2520,s2610,s1985,s1389,s909,s2488,s793,s833,s814,s797,s875,s2975,s1815,s2026,s2014,s873,s826,s672,s1860,s2477,s2677,s2012,s3039,s2985,s36,s2523,s704,s3040,s153,s2022,s2502,s1338,s1760,s2524,s2743,s2608,s120,s795,s1669,s3035,s637,s608]) ).
cnf(s3042,plain,
( ~ spl2_183
| ~ spl2_176
| ~ spl2_133
| ~ spl2_89
| spl2_161
| spl2_348
| spl2_306
| ~ spl2_179
| ~ spl2_52
| spl2_313
| spl2_146
| ~ spl2_180
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_11
| ~ spl2_120 ),
inference(rat,[],[s2308,s1738,s3009,s2765,s2007,s1402,s2858,s2963,s2631,s2824]) ).
cnf(s3043,plain,
( spl2_360
| ~ spl2_144
| ~ spl2_138
| ~ spl2_133
| spl2_161
| spl2_348
| spl2_306
| spl2_167
| spl2_76
| spl2_313
| spl2_146
| spl2_54
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2818,s1903,s1738,s2519,s2520,s2833,s1564,s1477,s2657,s1727]) ).
cnf(s3044,plain,
( spl2_87
| ~ spl2_89
| spl2_161
| ~ spl2_52
| spl2_76
| ~ spl2_171
| spl2_146
| ~ spl2_180
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2436,s2519,s2098,s2585,s1402,s3043,s2765,s2858,s551,s468,s2859,s3042,s2058,s728,s2860,s2521,s610,s462,s512,s465,s625,s2012,s482,s545,s475,s2353,s289,s782,s3007,s1338,s331,s1671,s490,s81,s158,s608]) ).
cnf(s3045,plain,
( ~ spl2_89
| spl2_161
| ~ spl2_169
| ~ spl2_35
| spl2_146
| ~ spl2_180
| spl2_54
| spl2_181
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2436,s2519,s2098,s2585,s1402,s3043,s2521,s2345,s611,s2840,s551,s2696,s2859,s3042,s610,s2680,s2765,s2058,s1960,s1959,s2750,s1771,s3044,s2515,s2012,s482,s545,s475,s2353,s289,s782,s920,s740,s612,s3007,s1338,s331,s1671,s490,s81,s158,s2482,s2271,s2837,s2647,s608]) ).
cnf(s3046,plain,
( spl2_161
| ~ spl2_169
| ~ spl2_35
| spl2_146
| ~ spl2_180
| spl2_54
| spl2_181
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2969,s610,s667,s1754,s2521,s626,s2365,s756,s2035,s3045,s81,s2271,s2837,s2647,s158,s475,s2353,s289,s2482,s782,s920,s740,s612,s608]) ).
cnf(s3047,plain,
( spl2_87
| spl2_140
| ~ spl2_135
| spl2_45
| spl2_168
| ~ spl2_171
| spl2_146
| ~ spl2_180
| ~ spl2_120 ),
inference(rat,[],[s667,s2969,s2521,s610,s462,s512,s465,s545,s475,s608]) ).
cnf(s3048,plain,
( ~ spl2_35
| spl2_146
| ~ spl2_180
| spl2_54
| spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2084,s708,s610,s2859,s2680,s1688,s1960,s2433,s1771,s3047,s626,s2063,s756,s2035,s3028,s3046,s475,s81,s2353,s2271,s158,s289,s2837,s2482,s2647,s2541,s782,s920,s740,s612,s608]) ).
cnf(s3049,plain,
( spl2_146
| ~ spl2_180
| spl2_54
| spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2522,s512,s626,s2840,s815,s756,s2035,s3033,s545,s153,s519,s2085,s2028,s81,s220,s655,s433,s412,s88,s2864,s487,s704,s36,s3048,s644,s61,s608]) ).
cnf(s3050,plain,
( ~ spl2_35
| ~ spl2_72
| ~ spl2_193
| spl2_181
| spl2_17
| ~ spl2_11
| spl2_10 ),
inference(rat,[],[s331,s2271,s1671,s2837,s2482,s2647,s2541,s920,s740,s608]) ).
cnf(s3051,plain,
( ~ spl2_72
| ~ spl2_193
| spl2_181
| spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9 ),
inference(rat,[],[s328,s81,s88,s2864,s704,s36,s3050]) ).
cnf(s3052,plain,
( ~ spl2_134
| ~ spl2_135
| ~ spl2_52
| spl2_76
| spl2_167
| ~ spl2_169
| ~ spl2_35
| ~ spl2_219 ),
inference(rat,[],[s496,s2854,s840,s2631,s2680,s2736]) ).
cnf(s3054,plain,
( ~ spl2_360
| ~ spl2_173
| spl2_348
| ~ spl2_172
| spl2_146
| ~ spl2_11 ),
inference(rat,[],[s1883,s2519,s2098,s2585,s1402]) ).
cnf(s3055,plain,
( spl2_360
| ~ spl2_133
| spl2_348
| spl2_89
| spl2_76
| spl2_167
| ~ spl2_169
| spl2_313
| spl2_146
| spl2_306
| spl2_54
| ~ spl2_120 ),
inference(rat,[],[s2731,s2603,s2520,s1835,s1538,s2833,s1555,s2657,s2035]) ).
cnf(s3056,plain,
( spl2_36
| ~ spl2_219
| spl2_180
| spl2_54
| spl2_181
| spl2_17
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2682,s2521,s840,s1566,s2842,s496,s1903,s2735,s2854,s2520,s2734,s2631,s1975,s2519,s2859,s545,s2788,s2436,s551,s485,s1835,s2098,s3054,s2007,s1402,s3055,s610,s3052,s3007,s626,s81,s756,s2035,s2271,s158,s3028,s2837,s2482,s2647,s474,s2541,s2086,s801,s2012,s920,s484,s740,s416,s36,s1338,s2502,s3051,s612,s490,s608]) ).
cnf(s3057,plain,
( spl2_54
| spl2_181
| spl2_17
| spl2_143
| spl2_343
| ~ spl2_11
| spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s1860,s485,s781,s2028,s642,s484,s412,s88,s2864,s487,s492,s704,s3056,s2677,s3049,s2502,s3051,s61,s490,s612,s644,s608]) ).
cnf(s3059,plain,
( spl2_89
| ~ spl2_87
| spl2_161
| ~ spl2_168
| spl2_146
| spl2_169 ),
inference(rat,[],[s856,s610,s860,s1754,s2521,s626,s2365,s756,s476,s608]) ).
cnf(s3060,plain,
( spl2_10
| spl2_8
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1605,s2057,s1959,s2750,s2173,s2515,s3059,s1771,s2940,s1815,s2012,s1389,s853,s484,s2502,s1367,s797,s330,s220,s43,s873,s826,s672,s2479,s2482,s2989,s416,s36,s153,s2022,s2523,s704,s1760,s2524,s3040,s2608,s120,s795,s1669,s3057,s3041,s2990,s381,s454,s1200,s2991,s637,s5,s2023,s608]) ).
cnf(s3061,plain,
( ~ spl2_17
| spl2_143
| ~ spl2_181
| spl2_54
| ~ spl2_10
| ~ spl2_120 ),
inference(rat,[],[s2086,s2243,s2029,s2690,s797,s2942,s484,s416,s704,s2918,s2905,s17,s672,s1762,s2027,s2085,s2026,s289,s2088,s1222,s1338,s2502,s2743,s1671,s210,s490,s608]) ).
cnf(s3062,plain,
( spl2_17
| spl2_146
| ~ spl2_78
| ~ spl2_181
| ~ spl2_193
| ~ spl2_10
| ~ spl2_9 ),
inference(rat,[],[s745,s2521,s611,s2682,s360,s625,s426,s739,s2358,s826,s2044,s2088,s17,s810,s496,s2087,s289,s210,s608]) ).
cnf(s3063,plain,
( ~ spl2_181
| spl2_54
| ~ spl2_10
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s416,s383,s704,s3061,s2905,s3062,s2502,s103,s2743,s2026,s2088,s1671,s289,s210,s612,s490,s61]) ).
cnf(s3064,plain,
( ~ spl2_171
| spl2_54
| ~ spl2_321
| ~ spl2_11
| spl2_169
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2086,s2243,s1823,s782,s482,s672]) ).
cnf(s3065,plain,
( spl2_54
| ~ spl2_10
| ~ spl2_9
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2866,s704,s81,s36,s43,s740,s2479,s920,s3064,s3063,s612,s2088,s158,s17,s1762,s289,s210]) ).
cnf(s3066,plain,
( spl2_8
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2050,s1324,s1394,s2019,s2271,s704,s55,s2552,s3040,s120,s795,s3065,s637,s158,s289,s2834,s1835,s17,s210,s2089,s3060,s2023,s608]) ).
cnf(s3067,plain,
( ~ spl2_11
| ~ spl2_9
| spl2_54
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3057,s3041,s2990,s1200,s381,s2991]) ).
cnf(s3068,plain,
( spl2_169
| ~ spl2_46
| spl2_163
| ~ spl2_17
| spl2_146
| spl2_306
| ~ spl2_181
| ~ spl2_56
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2918,s2085,s2942,s2026,s2027]) ).
cnf(s3069,plain,
( spl2_52
| ~ spl2_180
| ~ spl2_17
| ~ spl2_181
| ~ spl2_23
| ~ spl2_9
| spl2_54
| spl2_143
| spl2_343
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1982,s554,s1980,s2751,s3068,s1834,s99,s797,s289,s1338,s2502,s484,s416,s704,s2905,s490,s2743,s1671,s227,s608]) ).
cnf(s3070,plain,
( ~ spl2_89
| ~ spl2_172
| ~ spl2_171
| ~ spl2_161
| ~ spl2_17
| spl2_146
| ~ spl2_9 ),
inference(rat,[],[s3027,s855]) ).
cnf(s3071,plain,
( ~ spl2_180
| ~ spl2_17
| ~ spl2_181
| spl2_11
| ~ spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s810,s403,s368,s2035,s3070,s2647,s2753,s672,s2357,s2243,s2690,s3069,s2661,s486,s1762,s289,s2502,s2743,s1671,s227,s21,s490]) ).
cnf(s3072,plain,
( ~ spl2_58
| spl2_167
| ~ spl2_161
| ~ spl2_171
| ~ spl2_17
| spl2_146
| spl2_54
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s2860,s2084,s2521,s610,s462,s512,s465,s625,s937,s2918,s152,s2085,s2724,s334,s545,s1750,s608]) ).
cnf(s3073,plain,
( ~ spl2_17
| ~ spl2_181
| spl2_11
| ~ spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s810,s403,s368,s2035,s3070,s2647,s2026,s3072,s2019,s1855,s1750,s474,s2086,s801,s781,s3071,s484,s416,s704,s2905,s61,s289,s2502,s2743,s1671,s227,s21,s490]) ).
cnf(s3074,plain,
( spl2_169
| spl2_17
| spl2_72
| ~ spl2_181
| ~ spl2_56
| ~ spl2_9
| spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s781,s484,s2243,s417,s2690,s43,s99,s1836,s2134,s132,s107,s2026,s2027,s826,s672,s61,s1762]) ).
cnf(s3075,plain,
( ~ spl2_135
| ~ spl2_87
| ~ spl2_52
| spl2_45
| spl2_167
| ~ spl2_180
| ~ spl2_171
| ~ spl2_169
| spl2_146
| ~ spl2_56
| ~ spl2_120 ),
inference(rat,[],[s610,s2840,s2680,s2696,s1960,s2859,s2063,s1688,s1771,s2433,s608]) ).
cnf(s3076,plain,
( spl2_360
| spl2_348
| spl2_306
| spl2_76
| ~ spl2_345
| spl2_54
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2833,s2808,s2657]) ).
cnf(s3078,plain,
( ~ spl2_369
| ~ spl2_360
| ~ spl2_179
| ~ spl2_161
| ~ spl2_171
| spl2_146
| ~ spl2_23
| spl2_10
| ~ spl2_2 ),
inference(rat,[],[s2206,s2520,s2735,s1975,s2609,s2788]) ).
cnf(s3079,plain,
( ~ spl2_387
| spl2_337
| ~ spl2_360
| spl2_45
| ~ spl2_161
| ~ spl2_171
| spl2_306
| ~ spl2_181
| ~ spl2_120 ),
inference(rat,[],[s2721,s2735,s1981,s2734]) ).
cnf(s3080,plain,
( ~ spl2_164
| ~ spl2_388
| ~ spl2_342
| spl2_348
| spl2_163
| ~ spl2_169 ),
inference(rat,[],[s2687,s1892,s840]) ).
cnf(s3081,plain,
( ~ spl2_87
| spl2_147
| spl2_154
| ~ spl2_327
| spl2_45
| spl2_146
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s2859,s2421,s708]) ).
cnf(s3082,plain,
( ~ spl2_180
| ~ spl2_169
| ~ spl2_181
| ~ spl2_31
| ~ spl2_23
| ~ spl2_345
| ~ spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3027,s2583,s3081,s790,s2084,s610,s2680,s3080,s2519,s3079,s2166,s1835,s3078,s3076,s2041,s3007,s99,s1980,s1982,s475,s545,s2357,s2353,s289,s1338,s2502,s2743,s1671,s490,s2647,s483,s227,s782,s2751,s608]) ).
cnf(s3083,plain,
( spl2_52
| ~ spl2_161
| spl2_180
| spl2_163
| ~ spl2_181
| ~ spl2_9
| spl2_159
| ~ spl2_8 ),
inference(rat,[],[s1815,s1834,s1858,s99,s2545,s2864,s608]) ).
cnf(s3084,plain,
( ~ spl2_89
| ~ spl2_53
| spl2_173
| ~ spl2_219
| ~ spl2_171
| spl2_146
| ~ spl2_50 ),
inference(rat,[],[s2522,s2737,s2830,s854,s432]) ).
cnf(s3085,plain,
( spl2_89
| ~ spl2_52
| spl2_146
| ~ spl2_56
| spl2_11
| spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s810,s403,s368,s2035]) ).
cnf(s3086,plain,
( ~ spl2_45
| ~ spl2_89
| ~ spl2_52
| ~ spl2_219
| ~ spl2_171
| spl2_146
| ~ spl2_181
| ~ spl2_9
| ~ spl2_50 ),
inference(rat,[],[s3084,s81,s1834]) ).
cnf(s3087,plain,
( ~ spl2_137
| ~ spl2_316
| ~ spl2_52
| spl2_180
| ~ spl2_169
| ~ spl2_56 ),
inference(rat,[],[s1960,s2063,s2682,s611,s1813,s2361,s608]) ).
cnf(s3088,plain,
( ~ spl2_181
| spl2_11
| ~ spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3052,s2737,s2522,s2084,s2860,s2521,s3087,s36,s704,s88,s3086,s1771,s3027,s3085,s3083,s474,s2086,s801,s2677,s3082,s2751,s483,s2647,s3074,s3073,s2502,s2743,s490,s61,s2104,s2661,s486,s1671,s289,s227,s21]) ).
cnf(s3089,plain,
( spl2_52
| spl2_181
| ~ spl2_56
| spl2_95
| ~ spl2_9
| spl2_54
| spl2_159
| spl2_10
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s2086,s2353,s1750,s826,s782,s853,s920,s484,s740,s416,s36,s2647,s330,s704,s2837,s99,s2864,s797,s2271,s612,s490,s608]) ).
cnf(s3090,plain,
( spl2_161
| spl2_186
| spl2_72
| ~ spl2_52
| ~ spl2_31
| spl2_54
| spl2_159
| ~ spl2_120 ),
inference(rat,[],[s416,s484,s487,s2086,s76,s2348,s532,s685,s490]) ).
cnf(s3091,plain,
( ~ spl2_180
| ~ spl2_161
| spl2_186
| ~ spl2_155
| spl2_181
| ~ spl2_56
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2479,s920,s43,s782,s2205,s518]) ).
cnf(s3092,plain,
( spl2_171
| spl2_180
| spl2_72
| spl2_181
| spl2_54 ),
inference(rat,[],[s492,s36,s484,s740,s781,s920,s612,s61]) ).
cnf(s3093,plain,
( spl2_169
| ~ spl2_52
| spl2_181
| ~ spl2_31
| ~ spl2_23
| ~ spl2_345
| ~ spl2_9
| spl2_54
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2520,s1473,s1691,s1637,s1703,s3078,s3076,s545,s3007,s1750,s272,s826,s782,s3092,s3091,s3090,s2027,s672,s289,s1338,s2502,s331,s1671,s227,s490]) ).
cnf(s3094,plain,
( spl2_161
| ~ spl2_169
| spl2_11 ),
inference(rat,[],[s473,s476]) ).
cnf(s3095,plain,
( ~ spl2_164
| ~ spl2_87
| ~ spl2_169
| spl2_146
| ~ spl2_327
| spl2_181
| ~ spl2_56 ),
inference(rat,[],[s2421,s811,s2119,s840,s2352]) ).
cnf(s3096,plain,
( ~ spl2_180
| spl2_164
| ~ spl2_87
| ~ spl2_161
| spl2_157
| spl2_146
| ~ spl2_52
| ~ spl2_56
| ~ spl2_9
| ~ spl2_120 ),
inference(rat,[],[s3081,s790,s2084,s610,s2680,s81,s475,s1982,s2353,s2041,s608]) ).
cnf(s3097,plain,
( ~ spl2_9
| spl2_54
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2084,s610,s2860,s2680,s2521,s474,s3087,s801,s3096,s3095,s1771,s3027,s3094,s782,s2751,s483,s2647,s3093,s3085,s2502,s331,s2041,s3089,s3088,s289,s1671,s227,s2661,s21,s486,s2104,s3067,s3066,s1200,s454,s381,s2991,s490,s608]) ).
cnf(s3098,plain,
( spl2_52
| spl2_53
| ~ spl2_11
| spl2_72
| ~ spl2_181
| ~ spl2_56
| ~ spl2_13
| ~ spl2_51
| spl2_151
| spl2_10
| ~ spl2_8 ),
inference(rat,[],[s2027,s1836,s2647,s936,s484,s2749,s152,s416,s1980,s1763,s704,s99,s2864]) ).
cnf(s3099,plain,
( spl2_169
| ~ spl2_52
| ~ spl2_11
| spl2_72
| ~ spl2_181
| ~ spl2_56
| ~ spl2_31
| spl2_54
| spl2_159
| ~ spl2_120 ),
inference(rat,[],[s3090,s2029,s2027]) ).
cnf(s3100,plain,
( spl2_161
| spl2_163
| spl2_157
| ~ spl2_56
| ~ spl2_31
| spl2_54
| spl2_159
| ~ spl2_120 ),
inference(rat,[],[s2357,s2086]) ).
cnf(s3101,plain,
( ~ spl2_89
| ~ spl2_17
| ~ spl2_179
| ~ spl2_161
| ~ spl2_171
| ~ spl2_172
| spl2_146 ),
inference(rat,[],[s2860,s2084,s2521,s610,s2587,s512,s465,s625,s855,s608]) ).
cnf(s3102,plain,
( spl2_89
| spl2_167
| ~ spl2_180
| spl2_45
| ~ spl2_171
| ~ spl2_169
| ~ spl2_52
| spl2_146
| ~ spl2_56
| spl2_9
| spl2_54
| spl2_143
| ~ spl2_120 ),
inference(rat,[],[s3075,s2861,s2035]) ).
cnf(s3103,plain,
( spl2_87
| ~ spl2_89
| ~ spl2_179
| ~ spl2_161
| ~ spl2_171
| ~ spl2_172
| spl2_146 ),
inference(rat,[],[s2860,s2084,s2521,s610,s2587,s512,s465,s625,s608]) ).
cnf(s3104,plain,
( ~ spl2_180
| ~ spl2_161
| spl2_45
| ~ spl2_169
| spl2_157
| ~ spl2_52
| ~ spl2_11
| spl2_146
| spl2_9
| spl2_54
| spl2_143
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s2522,s2691,s2218,s2058,s2696,s2758,s2358,s2768,s361,s611,s3075,s3103,s3101,s3102,s475,s545,s2353,s612,s2028,s1722,s2749,s2647,s7,s608]) ).
cnf(s3105,plain,
( ~ spl2_17
| ~ spl2_89
| ~ spl2_161
| ~ spl2_171
| ~ spl2_172
| spl2_146 ),
inference(rat,[],[s545,s3101,s1750]) ).
cnf(s3106,plain,
( ~ spl2_138
| ~ spl2_186
| ~ spl2_89
| ~ spl2_219
| ~ spl2_161
| ~ spl2_171
| spl2_146 ),
inference(rat,[],[s2522,s2737,s2084,s667,s2860]) ).
cnf(s3107,plain,
( ~ spl2_137
| spl2_180
| ~ spl2_172
| ~ spl2_169
| ~ spl2_52
| ~ spl2_56 ),
inference(rat,[],[s1771,s465,s3087,s2587]) ).
cnf(s3108,plain,
( ~ spl2_89
| ~ spl2_138
| ~ spl2_219
| ~ spl2_161
| ~ spl2_171
| ~ spl2_52
| ~ spl2_11
| spl2_146
| ~ spl2_181
| spl2_10 ),
inference(rat,[],[s2691,s545,s2522,s2058,s530,s2084,s728,s3106,s2860]) ).
cnf(s3109,plain,
( ~ spl2_11
| ~ spl2_181
| spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_10
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s2206,s2520,s2735,s1470,s2721,s2440,s3054,s551,s610,s2949,s2859,s3052,s403,s1688,s2442,s735,s756,s2035,s3108,s2521,s3107,s474,s801,s2677,s3104,s3100,s36,s704,s88,s1980,s2012,s2749,s483,s2647,s3099,s2690,s3098,s158,s2724,s2662,s334,s7,s2028,s1338,s2502,s2743,s1671,s2524,s1722,s490,s608]) ).
cnf(s3110,plain,
( ~ spl2_134
| ~ spl2_219
| ~ spl2_179
| ~ spl2_58 ),
inference(rat,[],[s512,s625,s418,s2737]) ).
cnf(s3111,plain,
( spl2_169
| spl2_72
| ~ spl2_181
| ~ spl2_56
| spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2859,s2696,s846,s2204,s610,s3110,s781,s2677,s484,s545,s2243,s417,s530,s2690,s43,s99,s1836,s2134,s937,s132,s152,s107,s2026,s2027,s672,s61,s2724,s334,s1762,s2502,s490,s608]) ).
cnf(s3112,plain,
( spl2_52
| ~ spl2_171
| ~ spl2_161
| spl2_11
| ~ spl2_181
| ~ spl2_56
| spl2_76
| spl2_9
| spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s2736,s2522,s2607,s856,s2636,s2854,s418,s626,s368,s2861,s756,s2035,s3084,s2677,s1855,s1982,s2019,s36,s1980,s1834,s704,s99,s2864,s61,s2502,s2743,s1671,s490]) ).
cnf(s3113,plain,
( spl2_360
| ~ spl2_52
| ~ spl2_345
| spl2_306
| ~ spl2_56
| ~ spl2_31
| spl2_54
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2716,s2164,s1174,s2808,s1733,s2657]) ).
cnf(s3114,plain,
( ~ spl2_180
| ~ spl2_360
| ~ spl2_89
| ~ spl2_52
| spl2_313
| ~ spl2_161
| ~ spl2_169
| ~ spl2_23
| spl2_146
| spl2_306
| ~ spl2_181
| ~ spl2_56
| ~ spl2_193
| spl2_10
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1891,s2519,s2308,s3079,s1905,s2166,s3078,s496,s840,s2680,s2522,s2218,s2696,s2358,s360,s361,s611,s3075,s3103,s1980,s475,s545,s1982,s2353,s2647,s2751,s2690,s608]) ).
cnf(s3115,plain,
( ~ spl2_181
| spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s36,s3052,s704,s2737,s88,s2522,s1836,s2084,s3106,s2860,s2521,s474,s3107,s801,s2677,s3114,s3113,s3085,s3112,s2012,s2751,s3094,s483,s2647,s3111,s21,s2104,s3109,s2502,s1338,s2743,s612,s490,s2662,s334,s2028,s1671,s2524,s1722,s608]) ).
cnf(s3118,plain,
( ~ spl2_387
| spl2_11
| ~ spl2_157
| ~ spl2_180
| ~ spl2_171
| ~ spl2_274
| ~ spl2_155
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2613,s1694,s1705,s1565,s1917,s2191]) ).
cnf(s3119,plain,
( ~ spl2_134
| ~ spl2_352
| spl2_367
| ~ spl2_388
| spl2_167
| ~ spl2_218
| spl2_163
| ~ spl2_2 ),
inference(rat,[],[s2215,s1892,s2605,s2680]) ).
cnf(s3120,plain,
( spl2_135
| spl2_88
| spl2_52
| spl2_146
| spl2_169
| spl2_181
| spl2_143 ),
inference(rat,[],[s2521,s2345,s860,s2033,s611,s2545,s36,s704,s2864,s608]) ).
cnf(s3121,plain,
( spl2_161
| spl2_163
| spl2_52
| spl2_146
| spl2_169
| spl2_181
| ~ spl2_56
| ~ spl2_31
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s496,s2762,s401,s3120,s2825,s2824,s856,s610,s3119,s2609,s2633,s1801,s2658,s1882,s2300,s2519,s3118,s21,s1763,s152,s3100,s2086,s936,s476,s833,s2724,s334,s2047,s672,s2027,s2271,s99,s2019,s920,s740,s36,s704,s2864,s612,s853,s797,s608]) ).
cnf(s3123,plain,
( ~ spl2_337
| ~ spl2_175
| ~ spl2_135
| spl2_313
| ~ spl2_56
| spl2_343 ),
inference(rat,[],[s1376,s2164]) ).
cnf(s3124,plain,
( spl2_293
| spl2_337
| ~ spl2_45
| ~ spl2_46
| spl2_306
| spl2_9
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2439,s1488,s1753]) ).
cnf(s3128,plain,
( ~ spl2_196
| spl2_11
| ~ spl2_171
| spl2_169
| spl2_33
| spl2_143 ),
inference(rat,[],[s2117,s2848,s2408,s2696]) ).
cnf(s3130,plain,
( ~ spl2_133
| spl2_196
| ~ spl2_161
| ~ spl2_168
| spl2_9
| spl2_143
| ~ spl2_120 ),
inference(rat,[],[s2861,s2396,s2204]) ).
cnf(s3131,plain,
( ~ spl2_376
| ~ spl2_23
| ~ spl2_171
| ~ spl2_155
| ~ spl2_2 ),
inference(rat,[],[s2609,s2735,s2168]) ).
cnf(s3132,plain,
( spl2_337
| spl2_376
| ~ spl2_183
| ~ spl2_164
| ~ spl2_219
| ~ spl2_168
| spl2_163
| ~ spl2_35
| ~ spl2_45
| ~ spl2_46
| spl2_146
| spl2_306
| spl2_9
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s1179,s1892,s1470,s2519,s2520,s2344,s1585,s1174,s3124]) ).
cnf(s3133,plain,
( spl2_52
| spl2_72
| spl2_169
| spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2607,s418,s2762,s2861,s2838,s2308,s2215,s1892,s2519,s2596,s1801,s2734,s1897,s2808,s2609,s2788,s2164,s2166,s3132,s3131,s2736,s2737,s2680,s2522,s3130,s3128,s21,s2104,s474,s2541,s801,s2677,s1750,s2205,s3121,s853,s920,s484,s740,s416,s36,s704,s99,s2864,s797,s2271,s612,s2662,s334,s7,s3115,s672,s2027,s2028,s1722,s1338,s2502,s490,s608]) ).
cnf(s3134,plain,
( ~ spl2_134
| spl2_58
| spl2_167
| ~ spl2_179
| spl2_146
| spl2_181
| ~ spl2_56
| spl2_10 ),
inference(rat,[],[s2607,s2119,s2762,s2352,s2691,s2680]) ).
cnf(s3135,plain,
( ~ spl2_11
| ~ spl2_161
| ~ spl2_52
| spl2_146
| spl2_169
| spl2_181
| ~ spl2_56
| ~ spl2_13
| spl2_54
| spl2_10
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s2762,s2607,s2838,s2859,s551,s610,s3134,s3072,s475,s545,s1750,s272,s2541,s920,s740,s36,s487,s505,s1742,s873,s612,s672,s608]) ).
cnf(s3136,plain,
( spl2_171
| ~ spl2_161
| spl2_72
| spl2_186
| spl2_181
| spl2_54
| ~ spl2_2 ),
inference(rat,[],[s43,s2205,s2479,s3092,s920]) ).
cnf(s3137,plain,
( spl2_72
| spl2_169
| spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2308,s1892,s482,s2596,s2119,s2658,s2352,s1882,s2300,s2680,s1819,s2519,s2522,s2734,s2204,s3131,s3128,s3136,s3113,s3085,s21,s2104,s3135,s3090,s3133,s2502,s1338,s490,s2662,s334,s7,s2047,s3115,s672,s2027,s2028,s1722,s608]) ).
cnf(s3138,plain,
( ~ spl2_72
| spl2_95
| ~ spl2_8 ),
inference(rat,[],[s99,s330,s331]) ).
cnf(s3139,plain,
( ~ spl2_164
| spl2_58
| ~ spl2_169
| spl2_146
| spl2_181
| ~ spl2_56 ),
inference(rat,[],[s2607,s2119,s840,s2352]) ).
cnf(s3140,plain,
( spl2_161
| ~ spl2_169
| spl2_181
| spl2_9
| spl2_54
| spl2_143
| spl2_159
| spl2_10
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s1882,s2300,s2658,s2519,s2440,s2585,s3054,s551,s2838,s2058,s2020,s610,s2680,s3139,s3102,s1763,s152,s2963,s3094,s2086,s936,s3090,s685,s476,s2724,s2662,s334,s2028,s2047,s1338,s2502,s3138,s1671,s490,s483,s2524,s1722,s2749,s7,s2271,s2837,s2647,s608]) ).
cnf(s3141,plain,
( ~ spl2_164
| ~ spl2_11
| ~ spl2_52
| ~ spl2_169
| spl2_146
| spl2_181
| ~ spl2_56
| ~ spl2_31
| spl2_143 ),
inference(rat,[],[s2858,s2631,s2583,s496,s2119,s3095,s840,s2352,s2041]) ).
cnf(s3142,plain,
( ~ spl2_134
| spl2_164 ),
inference(rat,[],[s2680,s1819]) ).
cnf(s3143,plain,
( ~ spl2_137
| spl2_164 ),
inference(rat,[],[s2682,s1813]) ).
cnf(s3144,plain,
( ~ spl2_11
| ~ spl2_161
| spl2_313
| ~ spl2_172
| ~ spl2_169
| spl2_146
| spl2_306
| spl2_181
| ~ spl2_56
| spl2_9
| spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s1882,s2300,s2658,s2519,s2440,s2585,s3054,s551,s2363,s2949,s1771,s2063,s403,s2861,s735,s756,s2035,s2860,s2521,s3143,s2084,s610,s3142,s3141,s2662,s334,s2047,s2749,s7,s1609,s1779,s2271,s2837,s608]) ).
cnf(s3145,plain,
( ~ spl2_134
| ~ spl2_89
| ~ spl2_161
| ~ spl2_171
| ~ spl2_172
| ~ spl2_169
| spl2_146
| spl2_181
| ~ spl2_56
| spl2_143 ),
inference(rat,[],[s2677,s2737,s519,s401,s545,s2631,s3103,s496,s2119,s3139,s3095,s840,s2352,s3142,s2041,s2271,s2837,s608]) ).
cnf(s3146,plain,
( spl2_54
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3095,s465,s3143,s2587,s2521,s2860,s2084,s610,s3145,s3085,s3144,s3140,s2041,s2271,s2012,s2749,s2837,s483,s2647,s3137,s2502,s1338,s3138,s3115,s1671,s2028,s2524,s7,s1722,s3097,s490,s3066,s1200,s454,s381,s2991,s608]) ).
cnf(s3147,plain,
( ~ spl2_11
| ~ spl2_181
| ~ spl2_9
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3041,s2990,s1200,s381,s2991]) ).
cnf(s3148,plain,
( ~ spl2_387
| ~ spl2_180
| ~ spl2_168
| spl2_376
| ~ spl2_274
| spl2_306
| ~ spl2_46
| ~ spl2_181
| spl2_343 ),
inference(rat,[],[s1714,s1488,s1174,s2344,s1932]) ).
cnf(s3149,plain,
( ~ spl2_89
| ~ spl2_168
| spl2_161
| spl2_171
| ~ spl2_134
| spl2_376
| spl2_163
| ~ spl2_35
| ~ spl2_274
| spl2_146
| spl2_306
| ~ spl2_45
| ~ spl2_46
| spl2_56
| ~ spl2_181
| ~ spl2_54
| spl2_143
| spl2_343 ),
inference(rat,[],[s1408,s1902,s2165,s2308,s1985,s1892,s1564,s1882,s2300,s2519,s3148,s1697,s2736,s2765,s1752,s1652,s814,s1819,s2250,s739,s3142,s608]) ).
cnf(s3150,plain,
( spl2_161
| spl2_171
| ~ spl2_134
| ~ spl2_31
| spl2_163
| ~ spl2_35
| ~ spl2_274
| spl2_146
| spl2_306
| ~ spl2_45
| ~ spl2_46
| spl2_56
| ~ spl2_181
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343 ),
inference(rat,[],[s2583,s3059,s3149,s685,s2975,s672,s289]) ).
cnf(s3151,plain,
( ~ spl2_161
| spl2_52
| ~ spl2_181
| ~ spl2_9
| ~ spl2_54
| spl2_159
| ~ spl2_8 ),
inference(rat,[],[s3083,s2722,s1834,s99,s2985,s704,s2864,s3138,s1669,s120]) ).
cnf(s3152,plain,
( spl2_147
| ~ spl2_89
| ~ spl2_133
| spl2_161
| spl2_146
| ~ spl2_45
| ~ spl2_46
| spl2_56
| spl2_169
| spl2_143
| ~ spl2_8 ),
inference(rat,[],[s557,s2408,s1846,s2765,s1752,s1652,s608]) ).
cnf(s3153,plain,
( spl2_153
| spl2_88
| spl2_171
| spl2_11
| spl2_146
| spl2_169
| spl2_143 ),
inference(rat,[],[s2521,s2154,s3143,s2117,s739,s2848,s875]) ).
cnf(s3154,plain,
( ~ spl2_181
| ~ spl2_9
| spl2_169
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2583,s3059,s3152,s2250,s3153,s856,s610,s3150,s554,s685,s3151,s2661,s486,s3147,s2985,s36,s1834,s704,s2022,s2502,s1338,s99,s2864,s797,s2028,s1677,s2014,s2026,s1200,s454,s381,s2991,s3138,s1669,s3066,s120,s3146,s608]) ).
cnf(s3155,plain,
( ~ spl2_11
| spl2_52
| spl2_56
| ~ spl2_9
| spl2_169
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2057,s1605,s2750,s1959,s2173,s2515,s3059,s1771,s2940,s1815,s826,s1389,s873,s2990,s1200,s381,s795,s672,s1338,s2502,s2022,s153,s2028,s99,s2523,s289,s2012,s853,s484,s416,s704,s2864,s1677,s3138,s1669,s3146,s3066,s454,s2991,s3154,s797,s608]) ).
cnf(s3156,plain,
( ~ spl2_134
| ~ spl2_218
| ~ spl2_45
| spl2_52
| spl2_146
| spl2_181
| ~ spl2_9
| spl2_169
| ~ spl2_129
| spl2_143
| ~ spl2_2 ),
inference(rat,[],[s2606,s725,s3120,s2119,s468,s2352,s2605,s3142]) ).
cnf(s3157,plain,
( ~ spl2_153
| ~ spl2_135
| ~ spl2_133
| spl2_161
| ~ spl2_168
| ~ spl2_45
| ~ spl2_46
| spl2_56
| spl2_169
| ~ spl2_54
| spl2_143
| ~ spl2_8 ),
inference(rat,[],[s3059,s1846,s3152,s725,s2250,s2606,s795,s2502,s1677,s3138,s1669]) ).
cnf(s3158,plain,
( spl2_161
| spl2_11
| ~ spl2_168
| spl2_52
| spl2_56
| spl2_181
| ~ spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s747,s782,s2117,s3153,s2848,s874,s3157,s3120,s856,s610,s3156,s833,s795,s672,s2502,s1677,s3138,s1669,s797,s99,s608]) ).
cnf(s3159,plain,
( ~ spl2_164
| spl2_171
| ~ spl2_45
| spl2_52
| spl2_146
| spl2_181
| ~ spl2_9
| spl2_169
| ~ spl2_129
| spl2_143 ),
inference(rat,[],[s2606,s3120,s725,s468,s2119,s739,s2352]) ).
cnf(s3160,plain,
( spl2_52
| spl2_56
| ~ spl2_9
| spl2_169
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2606,s3153,s3120,s856,s2084,s610,s3142,s3159,s826,s1750,s3158,s3155,s853,s484,s416,s704,s99,s2864,s797,s454,s381,s2991,s795,s3154,s2502,s1677,s3138,s1669,s3146,s3066,s608]) ).
cnf(s3161,plain,
( ~ spl2_134
| ~ spl2_31
| ~ spl2_45
| ~ spl2_218
| ~ spl2_327
| spl2_146
| spl2_181
| ~ spl2_54
| spl2_143
| ~ spl2_2 ),
inference(rat,[],[s2583,s2421,s1752,s2119,s2250,s2352,s2605,s3142]) ).
cnf(s3162,plain,
( ~ spl2_89
| spl2_147
| ~ spl2_133
| ~ spl2_45
| spl2_161
| ~ spl2_53
| ~ spl2_82
| spl2_146
| spl2_56
| spl2_169
| spl2_143
| ~ spl2_8 ),
inference(rat,[],[s2408,s557,s2765,s390,s1652,s608]) ).
cnf(s3163,plain,
( spl2_171
| spl2_161
| ~ spl2_53
| ~ spl2_52
| ~ spl2_82
| spl2_56
| spl2_181
| spl2_58
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s2583,s3059,s3162,s2250,s3153,s856,s610,s3161,s685,s2661,s486,s220,s43,s2479,s920,s2502,s1677,s3138,s1669,s2041,s833,s608]) ).
cnf(s3164,plain,
( ~ spl2_17
| ~ spl2_52
| ~ spl2_76
| ~ spl2_9
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2543,s704,s272,s2990,s2905,s2991]) ).
cnf(s3165,plain,
( ~ spl2_134
| ~ spl2_35
| ~ spl2_219
| ~ spl2_45
| spl2_171
| ~ spl2_129 ),
inference(rat,[],[s725,s2606,s739,s2736,s2737,s3142]) ).
cnf(s3166,plain,
( spl2_56
| ~ spl2_9
| spl2_169
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2033,s2606,s708,s3153,s856,s2084,s610,s3165,s36,s487,s642,s1582,s220,s1860,s2677,s43,s1982,s2479,s3163,s920,s826,s3164,s55,s3160,s153,s2502,s289,s2028,s1677,s454,s381,s2991,s795,s3138,s1669,s3066,s120,s3146,s3154,s608]) ).
cnf(s3167,plain,
( spl2_88
| spl2_146
| spl2_11
| ~ spl2_45
| spl2_52
| ~ spl2_56
| spl2_181
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_10 ),
inference(rat,[],[s1688,s2825,s2173,s2058,s368,s496,s401,s3120,s2271,s608]) ).
cnf(s3168,plain,
( spl2_161
| ~ spl2_88
| ~ spl2_31
| spl2_146
| ~ spl2_45
| spl2_52
| spl2_181
| ~ spl2_9
| spl2_169
| ~ spl2_129
| spl2_143
| spl2_159
| ~ spl2_2 ),
inference(rat,[],[s610,s856,s3156,s685,s833,s608]) ).
cnf(s3169,plain,
( spl2_52
| ~ spl2_56
| spl2_181
| ~ spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_10
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3165,s826,s2522,s1750,s856,s1855,s2677,s3091,s3168,s3167,s2661,s2986,s486,s2019,s36,s1763,s704,s99,s2864,s795,s3138,s1669,s672,s120,s2027]) ).
cnf(s3170,plain,
( ~ spl2_134
| spl2_146
| spl2_161
| ~ spl2_53
| ~ spl2_52
| spl2_186
| ~ spl2_56
| spl2_181
| spl2_58
| ~ spl2_54
| spl2_143
| spl2_10
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s2737,s420,s2677,s2421,s2348,s2119,s2250,s545,s2352,s2605,s3134,s3142,s2041,s833,s476]) ).
cnf(s3171,plain,
( ~ spl2_11
| spl2_36
| ~ spl2_56
| spl2_181
| ~ spl2_9
| ~ spl2_54
| spl2_10
| ~ spl2_2 ),
inference(rat,[],[s2479,s43,s2989,s1763,s120]) ).
cnf(s3172,plain,
( ~ spl2_89
| ~ spl2_82
| spl2_88
| ~ spl2_35
| spl2_146
| ~ spl2_53
| spl2_181
| ~ spl2_155
| spl2_143 ),
inference(rat,[],[s2521,s2345,s859,s611,s390,s854,s608]) ).
cnf(s3173,plain,
( spl2_146
| spl2_161
| ~ spl2_56
| spl2_181
| ~ spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_10
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s2583,s3059,s3172,s153,s2524,s2476,s56,s793,s856,s2348,s685,s290,s2661,s282,s486,s3171,s935,s936,s484,s1613,s36,s487,s666,s610,s3170,s795,s3138,s1669,s672,s120,s2027,s55,s3169,s608]) ).
cnf(s3174,plain,
( ~ spl2_146
| spl2_72 ),
inference(rat,[],[s611,s489,s408,s2502,s608]) ).
cnf(s3175,plain,
( ~ spl2_134
| ~ spl2_219
| ~ spl2_53
| ~ spl2_52
| ~ spl2_56
| spl2_181
| spl2_146
| ~ spl2_8 ),
inference(rat,[],[s1688,s2433,s2119,s420,s2352,s2737,s3142]) ).
cnf(s3176,plain,
( spl2_17
| spl2_11
| ~ spl2_35
| spl2_154
| ~ spl2_133
| spl2_180
| ~ spl2_53
| spl2_181
| ~ spl2_9
| spl2_169
| spl2_146
| ~ spl2_129
| spl2_143
| spl2_10 ),
inference(rat,[],[s2583,s708,s3172,s3153,s856,s1860,s153,s2524,s826,s2476,s672,s2661,s486]) ).
cnf(s3177,plain,
( ~ spl2_9
| spl2_169
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2345,s2521,s611,s2860,s854,s368,s747,s782,s920,s2479,s43,s272,s3176,s3171,s36,s487,s666,s2084,s610,s3175,s2677,s3091,s55,s3173,s3169,s2027,s3166,s3154,s454,s381,s2991,s795,s3174,s3138,s1669,s3146,s3066,s672,s608]) ).
cnf(s3178,plain,
( spl2_171
| ~ spl2_134
| spl2_161
| spl2_163
| ~ spl2_35
| ~ spl2_45
| ~ spl2_46
| ~ spl2_181
| ~ spl2_274
| spl2_306
| spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343 ),
inference(rat,[],[s2662,s3150,s875]) ).
cnf(s3179,plain,
( ~ spl2_134
| ~ spl2_168
| spl2_161
| spl2_163
| ~ spl2_35
| ~ spl2_45
| ~ spl2_46
| ~ spl2_181
| ~ spl2_82
| ~ spl2_274
| spl2_306
| spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_2 ),
inference(rat,[],[s854,s3059,s2737,s2935,s2677,s1926,s1907,s1807,s2717,s3178,s795,s1834]) ).
cnf(s3180,plain,
( ~ spl2_89
| ~ spl2_11
| ~ spl2_133
| ~ spl2_168
| ~ spl2_80
| ~ spl2_45
| ~ spl2_76
| spl2_146
| ~ spl2_54
| spl2_143 ),
inference(rat,[],[s1605,s2057,s2858,s2020,s2173,s856]) ).
cnf(s3181,plain,
( spl2_89
| ~ spl2_168
| spl2_161
| spl2_9
| spl2_169
| spl2_146
| spl2_143
| ~ spl2_120 ),
inference(rat,[],[s3059,s2861]) ).
cnf(s3182,plain,
( spl2_161
| spl2_52
| ~ spl2_181
| ~ spl2_82
| ~ spl2_274
| spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s390,s2396,s2717,s3128,s3153,s876,s2250,s3180,s3152,s3181,s856,s610,s3179,s2862,s3174,s1338,s797,s99,s2523,s289,s36,s484,s416,s704,s2864,s1677,s3138,s1669,s608]) ).
cnf(s3183,plain,
( spl2_52
| ~ spl2_181
| spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2606,s2838,s2057,s2058,s496,s2408,s3130,s2084,s610,s3165,s2677,s1837,s1807,s2722,s1986,s1836,s3182,s36,s1834,s704,s99,s2864,s795,s7,s289,s2022,s153,s2028,s608]) ).
cnf(s3184,plain,
( ~ spl2_45
| spl2_147
| ~ spl2_134
| ~ spl2_219
| spl2_171
| ~ spl2_89
| ~ spl2_129 ),
inference(rat,[],[s487,s36,s509,s3165]) ).
cnf(s3185,plain,
( spl2_45
| spl2_180
| spl2_161
| spl2_151
| spl2_72 ),
inference(rat,[],[s484,s416,s793,s704,s86,s88]) ).
cnf(s3186,plain,
( ~ spl2_134
| ~ spl2_45
| ~ spl2_219
| spl2_171
| ~ spl2_89
| ~ spl2_218
| ~ spl2_54
| ~ spl2_2 ),
inference(rat,[],[s2250,s3184,s2605,s795]) ).
cnf(s3187,plain,
( spl2_161
| ~ spl2_52
| ~ spl2_181
| spl2_56
| spl2_9
| spl2_169
| spl2_72
| ~ spl2_54
| spl2_143
| spl2_159
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1784,s1688,s2765,s2057,s747,s2394,s610,s3186,s2173,s3185,s2677,s1807,s519,s3181,s530,s2862,s833,s3174,s672,s1677,s289,s2690,s2014,s608]) ).
cnf(s3188,plain,
( ~ spl2_45
| ~ spl2_134
| ~ spl2_161
| ~ spl2_52
| ~ spl2_181
| ~ spl2_54
| spl2_143
| ~ spl2_8 ),
inference(rat,[],[s3184,s403,s2250,s2737,s739,s2677,s1807,s2722,s1836,s1834,s795,s3142]) ).
cnf(s3189,plain,
( spl2_45
| spl2_11
| ~ spl2_76 ),
inference(rat,[],[s704,s2543,s88]) ).
cnf(s3190,plain,
( ~ spl2_181
| spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2606,s2057,s3153,s2394,s856,s2084,s610,s1837,s1807,s3188,s1986,s1836,s3189,s2029,s3187,s2690,s3183,s795,s3174,s3138,s1669,s672,s289,s2022,s2028,s608]) ).
cnf(s3191,plain,
( ~ spl2_134
| ~ spl2_89
| ~ spl2_218
| ~ spl2_45
| spl2_181
| spl2_146
| ~ spl2_54
| ~ spl2_2 ),
inference(rat,[],[s1752,s2119,s2250,s2352,s2605,s3142]) ).
cnf(s3192,plain,
( spl2_161
| ~ spl2_168
| spl2_52
| spl2_181
| spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1639,s3128,s2848,s3153,s1668,s1283,s2978,s876,s2250,s3120,s3180,s3152,s856,s610,s3191,s2173,s3181,s833,s3174,s3138,s1669,s797,s99,s2523,s2864,s289,s608]) ).
cnf(s3193,plain,
( ~ spl2_153
| spl2_154
| ~ spl2_168
| spl2_52
| spl2_181
| ~ spl2_76
| ~ spl2_155
| spl2_146
| ~ spl2_129
| spl2_143 ),
inference(rat,[],[s2256,s2521,s2750,s2345,s1771,s2057,s611,s2850,s2606,s1619,s36,s704,s2864,s608]) ).
cnf(s3194,plain,
( ~ spl2_134
| ~ spl2_161
| ~ spl2_168
| spl2_163
| ~ spl2_45
| spl2_52
| spl2_181
| spl2_306
| ~ spl2_76
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_343
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2139,s2429,s1471,s1470,s1892,s2520,s2519,s2206,s2734,s1377,s2173,s2165,s1688,s3132,s2737,s3131,s2677,s21,s2205,s2541,s1807,s739,s3193,s725,s2119,s2352,s3142,s795,s672,s797,s36,s704,s2864,s2012,s1750,s608]) ).
cnf(s3195,plain,
( spl2_52
| spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2762,s496,s2838,s2408,s3193,s3130,s2084,s610,s3194,s3192,s853,s484,s416,s704,s99,s2864,s797,s795,s3174,s672,s7,s289,s1338,s1677,s3138,s1669,s3190,s608]) ).
cnf(s3196,plain,
( spl2_161
| ~ spl2_134
| ~ spl2_52
| spl2_181
| spl2_151
| spl2_9
| spl2_169
| spl2_72
| ~ spl2_54
| spl2_143
| spl2_159
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1807,s920,s2348,s2479,s3185,s43,s3191,s3181,s2862,s833,s3174]) ).
cnf(s3198,plain,
( spl2_45
| spl2_52
| ~ spl2_31 ),
inference(rat,[],[s2584,s608]) ).
cnf(s3199,plain,
( spl2_82
| spl2_52
| spl2_55 ),
inference(rat,[],[s2545,s608]) ).
cnf(s3202,plain,
( spl2_17
| spl2_45
| ~ spl2_129
| ~ spl2_9
| ~ spl2_345 ),
inference(rat,[],[s2485,s608]) ).
cnf(s3207,plain,
( spl2_38
| spl2_52 ),
inference(rat,[],[s2271,s608]) ).
cnf(s3211,plain,
( spl2_56
| spl2_81
| spl2_10 ),
inference(rat,[],[s2028,s608]) ).
cnf(s3218,plain,
( ~ spl2_145
| spl2_147
| ~ spl2_45
| ~ spl2_89
| spl2_52 ),
inference(rat,[],[s1653,s608]) ).
cnf(s3219,plain,
( ~ spl2_144
| spl2_147
| ~ spl2_89
| spl2_56
| ~ spl2_45 ),
inference(rat,[],[s1652,s608]) ).
cnf(s3310,plain,
( spl2_46
| spl2_52 ),
inference(rat,[],[s797,s608]) ).
cnf(s3316,plain,
( ~ spl2_11
| ~ spl2_91
| ~ spl2_9 ),
inference(rat,[],[s637,s608]) ).
cnf(s3318,plain,
( spl2_135
| spl2_136 ),
inference(rat,[],[s611,s608]) ).
cnf(s3319,plain,
( spl2_133
| spl2_134 ),
inference(rat,[],[s610,s608]) ).
cnf(s3320,plain,
( spl2_137
| spl2_138 ),
inference(rat,[],[s609,s608]) ).
cnf(s3321,plain,
( ~ spl2_153
| spl2_154
| ~ spl2_183
| ~ spl2_327
| ~ spl2_82
| spl2_146
| ~ spl2_54
| spl2_143 ),
inference(rat,[],[s2033,s2421,s2606,s2250,s795]) ).
cnf(s3322,plain,
( ~ spl2_45
| ~ spl2_161
| ~ spl2_183
| ~ spl2_134
| ~ spl2_52
| ~ spl2_82
| spl2_9
| spl2_146
| ~ spl2_54
| spl2_143
| ~ spl2_120 ),
inference(rat,[],[s2861,s2173,s418,s1688,s2737,s1697,s2205,s2040,s1807,s2424,s739,s3321,s725,s2041,s3142]) ).
cnf(s3323,plain,
( ~ spl2_134
| ~ spl2_52
| spl2_181
| ~ spl2_76
| ~ spl2_81
| spl2_151
| spl2_9
| spl2_169
| spl2_72
| ~ spl2_54
| spl2_143
| spl2_159
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1750,s1860,s2541,s2722,s920,s873,s2479,s3189,s43,s3322,s3196,s2119,s2352,s3142,s3174,s153]) ).
cnf(s3324,plain,
( spl2_147
| spl2_88
| ~ spl2_89
| ~ spl2_45
| spl2_181
| spl2_56
| spl2_169
| spl2_143 ),
inference(rat,[],[s2878,s3143,s2154,s2352,s2765,s2869,s3219,s1752]) ).
cnf(s3325,plain,
( spl2_161
| ~ spl2_45
| ~ spl2_133
| spl2_181
| spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s2352,s2869,s3143,s1743,s3320,s2396,s2154,s2408,s496,s2762,s2838,s2250,s3324,s2173,s856,s3181,s2862,s7,s2022,s3211]) ).
cnf(s3326,plain,
( ~ spl2_156
| spl2_154
| ~ spl2_76
| ~ spl2_13
| ~ spl2_129
| spl2_10 ),
inference(rat,[],[s2606,s2838,s2057,s2058]) ).
cnf(s3327,plain,
( ~ spl2_45
| ~ spl2_133
| spl2_181
| spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_10
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2360,s3320,s1807,s2216,s2205,s2861,s727,s1861,s2204,s3130,s2408,s439,s496,s3326,s2084,s3325,s795,s672,s7,s3211,s289]) ).
cnf(s3328,plain,
( spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1750,s3185,s1860,s2541,s1907,s920,s873,s2479,s3189,s43,s3327,s3319,s3323,s3195,s3190,s289,s3211,s1677,s795,s3174,s3138,s1669]) ).
cnf(s3329,plain,
( ~ spl2_45
| ~ spl2_58
| ~ spl2_181
| spl2_186
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_129
| spl2_143
| spl2_159
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s860,s856,s3320,s3319,s2361,s2737,s3318,s418,s2935,s1697,s3199,s2864,s3310,s519,s530,s2862,s1789,s1926]) ).
cnf(s3330,plain,
( ~ spl2_387
| spl2_313
| ~ spl2_144
| ~ spl2_196
| ~ spl2_23
| ~ spl2_161
| spl2_157
| ~ spl2_181
| ~ spl2_56
| ~ spl2_155
| spl2_146
| spl2_343 ),
inference(rat,[],[s1637,s2520,s2096,s1471,s1692,s2734,s2819,s2167,s2164,s1738,s2793,s1697,s518]) ).
cnf(s3331,plain,
( ~ spl2_181
| ~ spl2_56
| spl2_9
| spl2_169
| spl2_72
| ~ spl2_129
| spl2_143
| spl2_159
| spl2_343
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s1738,s2167,s2215,s2206,s2160,s2520,s1471,s2823,s1985,s2098,s1718,s2590,s2436,s1562,s2300,s2519,s3330,s2012,s484,s2696,s2765,s1613,s2859,s2218,s747,s666,s846,s21,s3319,s2029,s3110,s1697,s937,s2862,s475,s545,s518,s36,s152,s530,s2690,s704,s86,s99,s88,s3329,s2026,s3174,s672,s2027]) ).
cnf(s3332,plain,
( spl2_52
| ~ spl2_89
| ~ spl2_168
| ~ spl2_218
| spl2_181
| ~ spl2_56
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_10
| ~ spl2_8
| ~ spl2_2 ),
inference(rat,[],[s2055,s2020,s1643,s1668,s1688,s3167,s3120,s856,s3319,s36,s2173,s3191,s704,s99,s2864,s3310,s3174,s3138,s1669]) ).
cnf(s3334,plain,
( ~ spl2_293
| spl2_337
| ~ spl2_23
| ~ spl2_144
| ~ spl2_133
| spl2_313
| ~ spl2_219
| ~ spl2_52
| ~ spl2_89
| ~ spl2_168
| ~ spl2_155
| spl2_146
| spl2_343 ),
inference(rat,[],[s2308,s1738,s2096,s2167,s2168,s1585,s1903,s2520,s1471,s1692,s2716,s1174]) ).
cnf(s3335,plain,
( spl2_337
| ~ spl2_23
| ~ spl2_144
| ~ spl2_133
| ~ spl2_45
| spl2_313
| ~ spl2_35
| ~ spl2_219
| ~ spl2_52
| ~ spl2_89
| ~ spl2_168
| ~ spl2_479
| spl2_9
| spl2_169
| spl2_146
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s1738,s2311,s2308,s2519,s1903,s2298,s1882,s2520,s2658,s1470,s2439,s1753,s1691,s3334,s672]) ).
cnf(s3336,plain,
( spl2_183
| ~ spl2_133
| ~ spl2_45
| spl2_313
| ~ spl2_52
| ~ spl2_89
| ~ spl2_168
| spl2_181
| ~ spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_343
| ~ spl2_120 ),
inference(rat,[],[s2613,s2164,s2165,s3335,s21,s2608,s2055,s2765,s496,s1602,s3320,s3143,s2352,s2869,s672,s2047,s1697,s2348,s36,s487,s76,s532,s2027,s272,s856]) ).
cnf(s3337,plain,
( ~ spl2_147
| ~ spl2_56
| ~ spl2_13
| ~ spl2_54
| spl2_10 ),
inference(rat,[],[s2058,s2838,s811,s2250]) ).
cnf(s3338,plain,
( ~ spl2_45
| spl2_313
| ~ spl2_52
| ~ spl2_89
| ~ spl2_168
| ~ spl2_218
| spl2_147
| spl2_181
| ~ spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_343
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3336,s3319,s1752,s3191]) ).
cnf(s3339,plain,
( spl2_161
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_159
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s86,s88,s3338,s793,s2012,s484,s1613,s36,s487,s76,s2348,s3332,s532,s3181,s2862,s833,s3174,s2027,s3331,s3138,s1669,s795,s3337,s3328,s7]) ).
cnf(s3340,plain,
( ~ spl2_134
| ~ spl2_35
| ~ spl2_219
| ~ spl2_45
| spl2_147
| ~ spl2_56
| spl2_9
| ~ spl2_129
| spl2_143
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s2607,s2762,s418,s2838,s2861,s2606,s1752,s725,s2736,s2737,s7]) ).
cnf(s3341,plain,
( spl2_52
| ~ spl2_45
| ~ spl2_161
| spl2_181
| ~ spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s3326,s496,s2608,s2419,s3167,s3120,s2084,s856,s3319,s3340,s1750,s1855,s2019,s36,s704,s2864,s795,s1762,s3337,s7,s1697,s2205,s2027]) ).
cnf(s3342,plain,
( ~ spl2_134
| ~ spl2_52
| ~ spl2_219
| ~ spl2_45
| spl2_147
| spl2_181
| ~ spl2_8 ),
inference(rat,[],[s1752,s2869,s403,s2352,s2737,s3142]) ).
cnf(s3343,plain,
( ~ spl2_168
| spl2_313
| ~ spl2_133
| ~ spl2_45
| ~ spl2_161
| spl2_181
| ~ spl2_56
| spl2_9
| spl2_169
| spl2_146
| ~ spl2_54
| spl2_143
| spl2_343
| spl2_10
| ~ spl2_120 ),
inference(rat,[],[s3336,s1752,s368,s2608,s3326,s496,s2408,s3130,s795,s3337,s7,s272,s3341,s2084]) ).
cnf(s3345,plain,
( ~ spl2_386
| ~ spl2_360
| ~ spl2_144
| ~ spl2_89
| spl2_313
| ~ spl2_133
| ~ spl2_161
| ~ spl2_155
| spl2_343 ),
inference(rat,[],[s1738,s2167,s2308,s2206,s1903]) ).
cnf(s3347,plain,
( spl2_360
| spl2_171
| ~ spl2_31
| ~ spl2_23
| ~ spl2_345
| ~ spl2_52
| ~ spl2_219
| ~ spl2_56
| ~ spl2_155
| spl2_146
| spl2_343
| ~ spl2_2 ),
inference(rat,[],[s2520,s1637,s1471,s1565,s2716,s2519,s2164,s1174,s1562,s2096,s2808,s1733,s1718,s1727]) ).
cnf(s3348,plain,
( ~ spl2_89
| ~ spl2_31
| ~ spl2_23
| ~ spl2_345
| spl2_167
| spl2_313
| ~ spl2_133
| ~ spl2_52
| ~ spl2_45
| ~ spl2_161
| spl2_147
| spl2_181
| ~ spl2_56
| spl2_169
| spl2_146
| ~ spl2_129
| spl2_143
| spl2_343
| ~ spl2_2 ),
inference(rat,[],[s1712,s1801,s1985,s1471,s1470,s2731,s2520,s3345,s3347,s2860,s3320,s3143,s2765,s2352,s2408,s2869,s2218,s1752,s672,s1697,s2205,s2084,s36,s487,s666,s2027]) ).
cnf(s3349,plain,
( ~ spl2_45
| ~ spl2_161
| spl2_181
| ~ spl2_56
| spl2_9
| spl2_169
| ~ spl2_54
| spl2_143
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2878,s2345,s2216,s3318,s747,s403,s368,s2861,s3348,s2661,s21,s486,s2104,s2608,s2524,s1860,s3343,s474,s801,s2012,s484,s1613,s36,s487,s666,s3319,s3342,s272,s3341,s1697,s2205,s795,s3174,s3138,s1669,s672,s2027,s3337,s7]) ).
cnf(s3350,plain,
( spl2_360
| ~ spl2_218
| spl2_376
| ~ spl2_31
| ~ spl2_168
| spl2_146
| spl2_343 ),
inference(rat,[],[s2520,s1585,s1475,s1733,s1727]) ).
cnf(s3351,plain,
( ~ spl2_360
| spl2_337
| spl2_163
| spl2_376
| ~ spl2_219
| ~ spl2_183
| ~ spl2_164
| ~ spl2_35
| ~ spl2_161
| spl2_146 ),
inference(rat,[],[s1179,s1470,s1892,s2520,s2519,s2206,s2734]) ).
cnf(s3352,plain,
( ~ spl2_134
| ~ spl2_171
| ~ spl2_35
| ~ spl2_52
| ~ spl2_161
| spl2_147
| spl2_181
| ~ spl2_56
| spl2_169
| spl2_72
| spl2_143
| spl2_343
| ~ spl2_2 ),
inference(rat,[],[s1471,s2520,s2716,s1585,s1174,s1733,s3351,s3123,s2761,s496,s2012,s2419,s484,s3131,s2661,s2737,s1613,s21,s486,s1697,s76,s2541,s2348,s532,s1750,s545,s2349,s755,s625,s2421,s2631,s2869,s2352,s3142,s3174,s672,s1762,s2027,s2041]) ).
cnf(s3353,plain,
( ~ spl2_196
| ~ spl2_171
| ~ spl2_13
| spl2_169
| spl2_10 ),
inference(rat,[],[s2058,s2838,s496,s2696,s2408]) ).
cnf(s3354,plain,
( spl2_169
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2879,s403,s2540,s2204,s3353,s3319,s3352,s920,s36,s2479,s704,s99,s43,s88,s3349,s3339,s3337,s3331,s3328,s7,s3177,s1200,s454,s381,s2991,s795,s3138,s1669,s3146,s3066]) ).
cnf(s3355,plain,
( ~ spl2_181
| ~ spl2_9
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s745,s810,s3318,s3320,s368,s2540,s3107,s3070,s704,s289,s3202,s88,s2477,s1836,s1982,s1807,s2717,s3151,s2751,s3094,s21,s2104,s3147,s454,s381,s2991,s795,s3174,s3138,s1669,s3146,s3066,s2647,s3354]) ).
cnf(s3356,plain,
( ~ spl2_11
| spl2_181
| ~ spl2_9
| ~ spl2_169
| ~ spl2_54
| spl2_10 ),
inference(rat,[],[s704,s36,s3040,s2988,s3316]) ).
cnf(s3357,plain,
( ~ spl2_9
| spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3081,s810,s2084,s368,s2583,s3319,s3070,s272,s3175,s2476,s289,s2477,s1697,s1982,s2751,s2661,s3094,s21,s486,s3356,s55,s2041,s3207,s2837,s3355,s381,s2991,s795,s3174,s3138,s1669,s3146,s3066,s2647,s3354]) ).
cnf(s3358,plain,
( spl2_161
| ~ spl2_53
| ~ spl2_181
| spl2_186
| ~ spl2_171
| spl2_9
| ~ spl2_169
| ~ spl2_129
| spl2_159
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s1907,s1834,s2477,s99,s158,s530,s3094,s2862]) ).
cnf(s3359,plain,
( ~ spl2_181
| spl2_9
| ~ spl2_169
| ~ spl2_54
| spl2_159
| spl2_10
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s2218,s2696,s3319,s2540,s2859,s2737,s3318,s2826,s745,s3320,s3337,s3107,s704,s289,s99,s88,s2477,s1697,s1836,s1982,s3358,s2717,s795,s3174,s3138,s1669,s1807,s2749,s7,s2647]) ).
cnf(s3360,plain,
( spl2_161
| ~ spl2_52
| spl2_186
| spl2_9
| ~ spl2_169
| ~ spl2_54
| spl2_159
| ~ spl2_120 ),
inference(rat,[],[s56,s2905,s793,s2608,s483,s2477,s2348,s3094,s2862]) ).
cnf(s3361,plain,
( spl2_360
| ~ spl2_139
| ~ spl2_87
| ~ spl2_148
| ~ spl2_31
| ~ spl2_345
| spl2_313
| spl2_343 ),
inference(rat,[],[s2714,s1902,s1174,s1739,s2808,s1733]) ).
cnf(s3362,plain,
( ~ spl2_45
| ~ spl2_161
| spl2_181
| spl2_9
| ~ spl2_169
| ~ spl2_54
| spl2_143
| spl2_343
| spl2_10
| ~ spl2_8
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2842,s1566,s2744,s2519,s2160,s1882,s2520,s1692,s2658,s1470,s2309,s2439,s1905,s2166,s3078,s3361,s545,s1601,s2216,s368,s2861,s735,s756,s2860,s36,s2084,s704,s3319,s2661,s3040,s3342,s3320,s21,s486,s2104,s639,s2012,s3337,s3107,s2608,s483,s289,s2477,s1697,s272,s2205,s3174,s3138,s1669,s1807,s2749,s7,s2047,s3207,s2837,s2647]) ).
cnf(s3363,plain,
( spl2_89
| spl2_147
| spl2_45
| ~ spl2_52
| ~ spl2_8 ),
inference(rat,[],[s2879,s403,s2540,s704,s88]) ).
cnf(s3364,plain,
( spl2_10
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2824,s3107,s2859,s3320,s2696,s2860,s2218,s2084,s3319,s3145,s3363,s3337,s289,s2482,s36,s704,s88,s3362,s3360,s3207,s2837,s3359,s1807,s2749,s7,s3357,s2647,s3354,s3174,s3138,s1669,s3146,s381,s454,s1200,s2991,s3066]) ).
cnf(s3365,plain,
( ~ spl2_97
| spl2_151 ),
inference(rat,[],[s416,s492]) ).
cnf(s3366,plain,
( spl2_161
| spl2_9
| spl2_54
| spl2_186
| spl2_72
| ~ spl2_56
| ~ spl2_11
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s1763,s99,s519,s3090,s2086,s2862,s2662,s334,s455,s484,s3365,s490]) ).
cnf(s3367,plain,
( spl2_54
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2204,s3319,s3363,s3352,s2904,s3310,s36,s853,s704,s1750,s2905,s2541,s3136,s3366,s3111,s484,s455,s383,s3365,s1222,s3065,s490,s17,s2408,s810,s496,s2087,s3138,s1671,s3066,s2027,s289,s210,s2088,s3364]) ).
cnf(s3368,plain,
( ~ spl2_9
| ~ spl2_54
| ~ spl2_11
| spl2_76
| ~ spl2_8 ),
inference(rat,[],[s99,s55,s1642,s158]) ).
cnf(s3369,plain,
( spl2_52
| spl2_161
| ~ spl2_31
| spl2_9
| ~ spl2_17
| spl2_72
| spl2_376
| spl2_337
| ~ spl2_56
| ~ spl2_155
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s1855,s3350,s518,s1703,s2923,s3124,s1324,s1228,s2019,s99,s3310,s3207,s3174,s704,s2905,s833]) ).
cnf(s3370,plain,
( ~ spl2_52
| ~ spl2_181
| ~ spl2_10 ),
inference(rat,[],[s3110,s3319,s1697,s545,s2394,s518,s530,s2690,s2087,s672,s2027,s2026,s289,s210,s2088]) ).
cnf(s3371,plain,
( ~ spl2_181
| ~ spl2_54
| ~ spl2_10
| ~ spl2_8
| ~ spl2_120 ),
inference(rat,[],[s1789,s3369,s99,s3370,s2662,s875,s2717,s158,s2164,s2167,s1835,s2089,s672,s3138,s1671,s2027,s289,s2088,s2608,s3368,s17,s210]) ).
cnf(s3372,plain,
( spl2_52
| spl2_161
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s556,s32,s271,s3369,s99,s212,s2164,s289,s2167,s1835,s2089,s672,s2088,s3138,s1671,s2608,s3368,s3367,s17,s210,s3364,s3066]) ).
cnf(s3373,plain,
( spl2_161
| spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s484,s1613,s793,s1775,s1907,s2631,s920,s2858,s2479,s3363,s43,s56,s272,s3372,s873,s2088,s810,s496,s2087,s289,s3138,s1671,s795,s36,s704,s2905,s2608,s210,s17,s3371,s3367,s3364,s3066]) ).
cnf(s3374,plain,
( spl2_6
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s2349,s625,s3319,s855,s2204,s3363,s272,s2019,s1855,s545,s1750,s2722,s3373,s704,s2905,s2608,s3367,s810,s2408,s873,s289,s496,s17,s210,s2087,s2088,s3364,s3066]) ).
cnf(s3375,plain,
( ~ spl2_136
| spl2_141 ),
inference(rat,[],[s360,s361]) ).
cnf(s3376,plain,
~ spl2_7,
inference(rat,[],[s36,s567,s487,s666,s667,s3318,s3375,s3320,s3319,s3143,s3142,s566,s654]) ).
cnf(s3377,plain,
( spl2_10
| spl2_54
| ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3115,s2837,s455,s383,s1222,s2647,s3138,s2027,s1671,s3211,s2524,s3207,s2205,s1855,s2019,s704,s2883,s1757,s99,s260,s562,s262,s2023,s1722,s258,s3,s3374,s3365,s490,s3376]) ).
cnf(s3378,plain,
( ~ spl2_10
| ~ spl2_186 ),
inference(rat,[],[s289,s2027,s210,s2088]) ).
cnf(s3379,plain,
( ~ spl2_120
| ~ spl2_2 ),
inference(rat,[],[s3328,s2027,s455,s383,s2647,s1613,s2749,s1228,s642,s1807,s2552,s2722,s795,s3377,s3378,s2205,s1982,s562,s1855,s99,s262,s2019,s36,s2023,s7,s3207,s704,s258,s260,s2883,s1757,s3,s3374,s3376]) ).
cnf(s3381,plain,
( ~ spl2_173
| spl2_161
| ~ spl2_11
| spl2_10
| ~ spl2_2 ),
inference(rat,[],[s2981,s3174,s1834,s2985,s2743,s2988,s873,s1669,s120,s1667,s334,s269,s36,s704,s2905,s12,s1200,s381,s2991,s3,s259,s11,s771,s3379,s3376]) ).
cnf(s3382,plain,
( spl2_173
| spl2_10
| spl2_120 ),
inference(rat,[],[s2607,s2762,s3211,s2736,s2691,s1861,s1697,s545,s3319,s1907,s485,s2830,s875,s874,s795,s120,s1667,s334,s269,s36,s704,s2905,s12,s11,s771,s3376]) ).
cnf(s3383,plain,
( spl2_10
| spl2_8
| ~ spl2_2 ),
inference(rat,[],[s3199,s1858,s1982,s2983,s2985,s2717,s2743,s1750,s2988,s3381,s873,s3382,s454,s5,s2991,s875,s1669,s120,s1667,s334,s269,s3,s259,s36,s704,s2905,s12,s11,s771,s3379,s3376]) ).
cnf(s3384,plain,
( ~ spl2_10
| spl2_120 ),
inference(rat,[],[s2520,s1470,s3174,s1697,s1637,s2437,s332,s2356,s289,s672,s1835,s210,s2088,s2089,s782,s875,s120,s1667,s334,s269,s36,s704,s2905,s12,s11,s771,s3376]) ).
cnf(s3385,plain,
( spl2_52
| spl2_161
| spl2_169
| ~ spl2_2 ),
inference(rat,[],[s3158,s3169,s1834,s3198,s334,s269,s1667,s3383,s381,s685,s454,s2991,s3,s259,s11,s771,s2661,s486,s873,s3382,s3384,s3379,s3376]) ).
cnf(s3386,plain,
( spl2_161
| spl2_169
| ~ spl2_2 ),
inference(rat,[],[s289,s3189,s3173,s272,s530,s3385,s685,s1667,s12,s1807,s875,s454,s381,s2991,s3,s259,s11,s771,s3174,s3138,s3383,s1669,s334,s269,s2661,s486,s873,s3382,s3384,s3379,s3376]) ).
cnf(s3387,plain,
( spl2_52
| ~ spl2_161
| ~ spl2_31
| spl2_120 ),
inference(rat,[],[s2205,s1855,s3198,s2019,s1807,s334,s875,s269,s704,s2905,s1750,s12,s11,s771,s3376]) ).
cnf(s3388,plain,
( spl2_169
| ~ spl2_2 ),
inference(rat,[],[s2880,s2737,s1697,s2218,s854,s1982,s3363,s272,s55,s3387,s3386,s2661,s486,s873,s876,s334,s1667,s12,s11,s771,s2696,s874,s875,s269,s3382,s3383,s3384,s3379,s3376]) ).
cnf(s3389,plain,
( spl2_161
| ~ spl2_2 ),
inference(rat,[],[s3381,s3094,s3382,s3384,s3379,s3388]) ).
cnf(s3390,plain,
( spl2_52
| ~ spl2_2 ),
inference(rat,[],[s2837,s3151,s3207,s334,s269,s1667,s3383,s454,s2991,s3,s259,s11,s771,s2647,s3388,s3384,s3379,s3389,s3376]) ).
cnf(s3391,plain,
~ spl2_2,
inference(rat,[],[s3363,s272,s3390,s3105,s3389,s2647,s3388,s3174,s3138,s3383,s3384,s1669,s12,s876,s334,s875,s11,s269,s771,s3379,s3376]) ).
cnf(s3392,plain,
spl2_1,
inference(rat,[],[s121,s3391]) ).
cnf(s3393,plain,
spl2_33,
inference(rat,[],[s123,s3392]) ).
cnf(s3394,plain,
spl2_3,
inference(rat,[],[s122,s3392]) ).
cnf(s3395,plain,
spl2_171,
inference(rat,[],[s875,s3393]) ).
cnf(s3396,plain,
spl2_153,
inference(rat,[],[s874,s3393]) ).
cnf(s3397,plain,
spl2_54,
inference(rat,[],[s334,s3393]) ).
cnf(s3398,plain,
~ spl2_147,
inference(rat,[],[s876,s3397,s3393]) ).
cnf(s3399,plain,
spl2_9,
inference(rat,[],[s1667,s3394]) ).
cnf(s3400,plain,
~ spl2_5,
inference(rat,[],[s259,s3394]) ).
cnf(s3401,plain,
spl2_17,
inference(rat,[],[s12,s3376,s3394]) ).
cnf(s3403,plain,
~ spl2_88,
inference(rat,[],[s468,s3399,s3396]) ).
cnf(s3404,plain,
~ spl2_196,
inference(rat,[],[s2696,s3395,s3396]) ).
cnf(s3405,plain,
~ spl2_95,
inference(rat,[],[s1669,s3397]) ).
cnf(s3406,plain,
spl2_129,
inference(rat,[],[s795,s3397]) ).
cnf(s3407,plain,
~ spl2_186,
inference(rat,[],[s1807,s3395,s3397]) ).
cnf(s3408,plain,
~ spl2_58,
inference(rat,[],[s120,s3397,s3399]) ).
cnf(s3409,plain,
~ spl2_6,
inference(rat,[],[s3,s3376,s3400]) ).
cnf(s3410,plain,
~ spl2_55,
inference(rat,[],[s2905,s3401]) ).
cnf(s3412,plain,
~ spl2_36,
inference(rat,[],[s704,s3410]) ).
cnf(s3413,plain,
spl2_35,
inference(rat,[],[s36,s3412]) ).
cnf(s3414,plain,
( spl2_10
| spl2_169
| spl2_8 ),
inference(rat,[],[s2607,s2762,s3211,s2736,s2691,s1861,s1697,s545,s3319,s1907,s485,s2830,s873,s5,s3408,s3413,s3395,s3406,s3399,s3396]) ).
cnf(s3415,plain,
~ spl2_10,
inference(rat,[],[s2879,s2540,s2858,s401,s1642,s289,s496,s17,s210,s2087,s3412,s3403,s3399,s3397]) ).
cnf(s3416,plain,
~ spl2_20,
inference(rat,[],[s2991,s3415]) ).
cnf(s3418,plain,
~ spl2_159,
inference(rat,[],[s454,s3409,s3416]) ).
cnf(s3419,plain,
~ spl2_143,
inference(rat,[],[s381,s3409,s3416]) ).
cnf(s3423,plain,
( ~ spl2_11
| ~ spl2_169 ),
inference(rat,[],[s390,s855,s2980,s1834,s1907,s1982,s153,s2477,s2524,s158,s3174,s2717,s2743,s2988,s3399,s3413,s3405,s3397,s3415,s3406,s3395,s3412,s3398,s3401,s3419]) ).
cnf(s3424,plain,
spl2_8,
inference(rat,[],[s3423,s3414,s5,s3415]) ).
cnf(s3426,plain,
~ spl2_72,
inference(rat,[],[s3138,s3405,s3424]) ).
cnf(s3427,plain,
~ spl2_146,
inference(rat,[],[s3174,s3426]) ).
cnf(s3428,plain,
( spl2_89
| spl2_161
| spl2_169 ),
inference(rat,[],[s2583,s3059,s685,s2661,s486,s873,s554,s3419,s3427,s3418,s3399,s3424,s3395]) ).
cnf(s3429,plain,
( spl2_52
| ~ spl2_89 ),
inference(rat,[],[s3218,s99,s732,s755,s855,s3398,s3424,s3419,s3401]) ).
cnf(s3430,plain,
( spl2_161
| spl2_169 ),
inference(rat,[],[s2879,s2345,s420,s530,s55,s3429,s3320,s478,s855,s3428,s685,s2661,s486,s873,s554,s3413,s3424,s3407,s3399,s3397,s3395,s3401,s3418]) ).
cnf(s3431,plain,
( spl2_52
| ~ spl2_161 ),
inference(rat,[],[s2205,s1855,s99,s2019,s1750,s3407,s3424,s3412,s3401]) ).
cnf(s3432,plain,
( ~ spl2_161
| spl2_169 ),
inference(rat,[],[s2880,s3175,s2218,s289,s1697,s3363,s3189,s1982,s2014,s272,s55,s3431,s1823,s3395,s3397,s3399,s3401,s3408,s3398,s3404,s3424,s3427]) ).
cnf(s3433,plain,
spl2_169,
inference(rat,[],[s3432,s3430]) ).
cnf(s3435,plain,
spl2_172,
inference(rat,[],[s2647,s3415,s3433]) ).
cnf(s3436,plain,
~ spl2_11,
inference(rat,[],[s3423,s3433]) ).
cnf(s3440,plain,
spl2_161,
inference(rat,[],[s3094,s3433,s3436]) ).
cnf(s3445,plain,
spl2_52,
inference(rat,[],[s3431,s3440]) ).
cnf(s3446,plain,
~ spl2_89,
inference(rat,[],[s3105,s3427,s3401,s3395,s3435,s3440]) ).
cnf(s3454,plain,
~ spl2_45,
inference(rat,[],[s272,s3401,s3445]) ).
cnf(s3469,plain,
$false,
inference(rat,[],[s3363,s3424,s3445,s3398,s3446,s3454]) ).
thf(f27306,plain,
$false,
inference(avatar_sat_refutation,[],[s3469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA091^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:56:00 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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
% 0.20/0.33 % (211783)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.33 % (211789)lrs+10_16_si=on:nwc=1.5:random_seed=3741677024:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.33 % (211789)Instruction limit reached!
% 0.20/0.33 % (211789)------------------------------
% 0.20/0.33 % (211789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (211789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (211789)CaDiCaL version: 2.1.3
% 0.20/0.33 % (211789)Termination reason: Instruction limit
% 0.20/0.33 % (211789)Termination phase: Saturation
% 0.20/0.33 % (211789)Time elapsed: 0.005 s
% 0.20/0.33 % (211789)Peak memory usage: 12 MB
% 0.20/0.33 % (211789)Instructions burned: 19 (million)
% 0.20/0.33 % (211788)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2038662400:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.33 % (211792)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3910545789:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.33 % (211790)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1581392495:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.33 % (211791)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=4091454197: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)
% 0.20/0.33 % (211794)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.33 % (211794)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
% 0.20/0.33 % (211794)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=4036331461:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.33 % (211790)Instruction limit reached!
% 0.20/0.33 % (211790)------------------------------
% 0.20/0.33 % (211790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (211790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (211790)CaDiCaL version: 2.1.3
% 0.20/0.33 % (211790)Termination reason: Instruction limit
% 0.20/0.33 % (211790)Termination phase: Saturation
% 0.20/0.33 % (211790)Time elapsed: 0.003 s
% 0.20/0.33 % (211790)Peak memory usage: 12 MB
% 0.20/0.33 % (211790)Instructions burned: 5 (million)
% 0.20/0.33 % (211793)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2979898772:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.33 % (211792)Instruction limit reached!
% 0.20/0.33 % (211792)------------------------------
% 0.20/0.33 % (211792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (211792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (211792)CaDiCaL version: 2.1.3
% 0.20/0.33 % (211792)Termination reason: Instruction limit
% 0.20/0.33 % (211792)Termination phase: Saturation
% 0.20/0.33 % (211792)Time elapsed: 0.013 s
% 0.20/0.33 % (211792)Peak memory usage: 12 MB
% 0.20/0.33 % (211792)Instructions burned: 24 (million)
% 0.20/0.33 % (211796)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3616903973:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.33 % (211796)Instruction limit reached!
% 0.20/0.33 % (211796)------------------------------
% 0.20/0.33 % (211796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (211796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (211796)CaDiCaL version: 2.1.3
% 0.20/0.33 % (211796)Termination reason: Instruction limit
% 0.20/0.33 % (211796)Termination phase: Saturation
% 0.20/0.33 % (211796)Time elapsed: 0.002 s
% 0.20/0.33 % (211796)Peak memory usage: 12 MB
% 0.20/0.33 % (211796)Instructions burned: 2 (million)
% 0.20/0.33 % (211802)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1563720107:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.33 % (211802)Instruction limit reached!
% 0.20/0.36 % (211802)------------------------------
% 0.20/0.36 % (211802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (211802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (211802)CaDiCaL version: 2.1.3
% 0.20/0.36 % (211802)Termination reason: Instruction limit
% 0.20/0.36 % (211802)Termination phase: Saturation
% 0.20/0.36 % (211802)Time elapsed: 0.004 s
% 0.20/0.36 % (211802)Peak memory usage: 12 MB
% 0.20/0.36 % (211802)Instructions burned: 6 (million)
% 0.20/0.36 % (211804)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (211804)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3980046270:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.36 % (211804)Instruction limit reached!
% 0.20/0.36 % (211804)------------------------------
% 0.20/0.36 % (211804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (211804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (211804)CaDiCaL version: 2.1.3
% 0.20/0.36 % (211804)Termination reason: Instruction limit
% 0.20/0.36 % (211804)Termination phase: Saturation
% 0.20/0.36 % (211804)Time elapsed: 0.004 s
% 0.20/0.36 % (211804)Peak memory usage: 12 MB
% 0.20/0.36 % (211804)Instructions burned: 7 (million)
% 0.20/0.36 % (211806)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3667786743:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.36 % (211794)Instruction limit reached!
% 0.20/0.36 % (211794)------------------------------
% 0.20/0.36 % (211794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (211794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (211794)CaDiCaL version: 2.1.3
% 0.20/0.36 % (211794)Termination reason: Instruction limit
% 0.20/0.36 % (211794)Termination phase: Saturation
% 0.20/0.36 % (211794)Time elapsed: 0.034 s
% 0.20/0.36 % (211794)Peak memory usage: 12 MB
% 0.20/0.36 % (211794)Instructions burned: 161 (million)
% 0.20/0.36 % (211788)Instruction limit reached!
% 0.20/0.36 % (211788)------------------------------
% 0.20/0.36 % (211788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (211788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (211788)CaDiCaL version: 2.1.3
% 0.20/0.36 % (211788)Termination reason: Instruction limit
% 0.20/0.36 % (211788)Termination phase: Saturation
% 0.20/0.36 % (211788)Time elapsed: 0.039 s
% 0.20/0.36 % (211788)Peak memory usage: 12 MB
% 0.20/0.36 % (211788)Instructions burned: 89 (million)
% 0.20/0.36 % (211808)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
% 0.20/0.36 % (211808)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (211808)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3302235252:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.36 % (211793)Instruction limit reached!
% 0.20/0.36 % (211793)------------------------------
% 0.20/0.36 % (211793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (211806)Instruction limit reached!
% 0.20/0.36 % (211806)------------------------------
% 0.20/0.36 % (211806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (211806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (211793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (211806)CaDiCaL version: 2.1.3
% 0.20/0.36 % (211806)Termination reason: Instruction limit
% 0.20/0.36 % (211806)Termination phase: Saturation
% 0.20/0.36 % (211806)Time elapsed: 0.008 s
% 0.20/0.36 % (211793)CaDiCaL version: 2.1.3
% 0.20/0.36 % (211806)Peak memory usage: 12 MB
% 0.20/0.36 % (211793)Termination reason: Instruction limit
% 0.20/0.36 % (211793)Termination phase: Saturation
% 0.20/0.36 % (211806)Instructions burned: 13 (million)
% 0.20/0.36 % (211793)Time elapsed: 0.037 s
% 0.20/0.36 % (211793)Peak memory usage: 12 MB
% 0.20/0.36 % (211793)Instructions burned: 77 (million)
% 0.89/0.40 % (211812)lrs+10_1_si=on:cs=on:random_seed=740043805:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.89/0.40 % (211812)Instruction limit reached!
% 0.89/0.40 % (211812)------------------------------
% 0.89/0.40 % (211812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.40 % (211812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.40 % (211812)CaDiCaL version: 2.1.3
% 0.89/0.40 % (211812)Termination reason: Instruction limit
% 0.89/0.40 % (211812)Termination phase: Saturation
% 0.89/0.40 % (211812)Time elapsed: 0.003 s
% 0.89/0.40 % (211812)Peak memory usage: 12 MB
% 0.89/0.40 % (211812)Instructions burned: 11 (million)
% 0.89/0.40 % (211813)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.89/0.40 % (211810)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=3885720946:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.89/0.40 % (211813)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=2461342390:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.89/0.40 % (211808)Instruction limit reached!
% 0.89/0.40 % (211808)------------------------------
% 0.89/0.40 % (211808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.40 % (211808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.40 % (211808)CaDiCaL version: 2.1.3
% 0.89/0.40 % (211808)Termination reason: Instruction limit
% 0.89/0.40 % (211808)Termination phase: Saturation
% 0.89/0.40 % (211808)Time elapsed: 0.015 s
% 0.89/0.40 % (211808)Peak memory usage: 12 MB
% 0.89/0.40 % (211808)Instructions burned: 30 (million)
% 0.89/0.40 % (211813)Instruction limit reached!
% 0.89/0.40 % (211813)------------------------------
% 0.89/0.40 % (211813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.40 % (211813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.40 % (211813)CaDiCaL version: 2.1.3
% 0.89/0.40 % (211813)Termination reason: Instruction limit
% 0.89/0.40 % (211813)Termination phase: Saturation
% 0.89/0.40 % (211813)Time elapsed: 0.003 s
% 0.89/0.40 % (211813)Peak memory usage: 11 MB
% 0.89/0.40 % (211813)Instructions burned: 5 (million)
% 0.89/0.40 % (211818)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4064412317:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.89/0.40 % (211818)Refutation not found, incomplete strategy
% 0.89/0.40 % (211818)------------------------------
% 0.89/0.40 % (211818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.40 % (211818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.40 % (211818)CaDiCaL version: 2.1.3
% 0.89/0.40 % (211818)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.40 % (211818)Time elapsed: 0.0000 s
% 0.89/0.40 % (211818)Peak memory usage: 11 MB
% 0.89/0.40 % (211818)------------------------------
% 0.89/0.40 % (211818)------------------------------
% 0.89/0.40 % (211815)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=733021615:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.89/0.40 % (211816)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2868920765:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.89/0.40 % (211815)Refutation not found, incomplete strategy
% 0.89/0.40 % (211815)------------------------------
% 0.89/0.40 % (211815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.40 % (211815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.40 % (211815)CaDiCaL version: 2.1.3
% 0.89/0.40 % (211816)Refutation not found, incomplete strategy
% 0.89/0.40 % (211816)------------------------------
% 0.89/0.40 % (211816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.40 % (211816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.40 % (211816)CaDiCaL version: 2.1.3
% 0.89/0.40 % (211816)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.40 % (211816)Time elapsed: 0.001 s
% 0.89/0.43 % (211816)Peak memory usage: 11 MB
% 0.89/0.43 % (211816)------------------------------
% 0.89/0.43 % (211816)------------------------------
% 0.89/0.43 % (211815)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.43 % (211815)Time elapsed: 0.004 s
% 0.89/0.43 % (211815)Peak memory usage: 11 MB
% 0.89/0.43 % (211815)------------------------------
% 0.89/0.43 % (211815)------------------------------
% 0.89/0.43 % (211824)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3315779167:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.89/0.43 % (211824)Instruction limit reached!
% 0.89/0.43 % (211824)------------------------------
% 0.89/0.43 % (211824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.43 % (211824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.43 % (211824)CaDiCaL version: 2.1.3
% 0.89/0.43 % (211824)Termination reason: Instruction limit
% 0.89/0.43 % (211824)Termination phase: Saturation
% 0.89/0.43 % (211824)Time elapsed: 0.004 s
% 0.89/0.43 % (211824)Peak memory usage: 12 MB
% 0.89/0.43 % (211824)Instructions burned: 15 (million)
% 0.89/0.43 % (211823)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=822802003:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.89/0.43 % (211823)Refutation not found, incomplete strategy
% 0.89/0.43 % (211823)------------------------------
% 0.89/0.43 % (211823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.43 % (211823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.43 % (211823)CaDiCaL version: 2.1.3
% 0.89/0.43 % (211823)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.43 % (211823)Time elapsed: 0.001 s
% 0.89/0.43 % (211823)Peak memory usage: 11 MB
% 0.89/0.43 % (211823)Instructions burned: 1 (million)
% 0.89/0.43 % (211823)------------------------------
% 0.89/0.43 % (211823)------------------------------
% 0.89/0.43 % (211827)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1620684467:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.89/0.43 % (211821)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3619492117:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.89/0.43 % (211827)Refutation not found, incomplete strategy
% 0.89/0.43 % (211827)------------------------------
% 0.89/0.43 % (211827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.43 % (211827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.43 % (211827)CaDiCaL version: 2.1.3
% 0.89/0.43 % (211827)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.43 % (211827)Time elapsed: 0.001 s
% 0.89/0.43 % (211827)Peak memory usage: 11 MB
% 0.89/0.43 % (211830)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1612422169:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.89/0.43 % (211827)------------------------------
% 0.89/0.43 % (211827)------------------------------
% 0.89/0.43 % (211830)Instruction limit reached!
% 0.89/0.43 % (211830)------------------------------
% 0.89/0.43 % (211830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.43 % (211830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.43 % (211830)CaDiCaL version: 2.1.3
% 0.89/0.43 % (211830)Termination reason: Instruction limit
% 0.89/0.43 % (211830)Termination phase: Saturation
% 0.89/0.43 % (211830)Time elapsed: 0.006 s
% 0.89/0.43 % (211830)Peak memory usage: 11 MB
% 0.89/0.43 % (211830)Instructions burned: 26 (million)
% 0.89/0.43 % (211810)Instruction limit reached!
% 0.89/0.43 % (211810)------------------------------
% 0.89/0.43 % (211810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.43 % (211810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.43 % (211810)CaDiCaL version: 2.1.3
% 0.89/0.43 % (211810)Termination reason: Instruction limit
% 0.89/0.43 % (211810)Termination phase: Saturation
% 0.89/0.43 % (211810)Time elapsed: 0.041 s
% 0.89/0.43 % (211810)Peak memory usage: 12 MB
% 0.89/0.43 % (211810)Instructions burned: 86 (million)
% 0.89/0.43 % (211821)Instruction limit reached!
% 0.89/0.43 % (211821)------------------------------
% 0.89/0.43 % (211821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.43 % (211821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.47 % (211821)CaDiCaL version: 2.1.3
% 0.89/0.47 % (211821)Termination reason: Instruction limit
% 0.89/0.47 % (211821)Termination phase: Saturation
% 0.89/0.47 % (211821)Time elapsed: 0.010 s
% 0.89/0.47 % (211821)Peak memory usage: 12 MB
% 0.89/0.47 % (211821)Instructions burned: 16 (million)
% 0.89/0.47 % (211832)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2969656382:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.89/0.47 % (211837)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.89/0.47 % (211828)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1355100490:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.89/0.47 % (211837)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=2485681159:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.89/0.47 % (211837)Instruction limit reached!
% 0.89/0.47 % (211837)------------------------------
% 0.89/0.47 % (211837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.47 % (211837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.47 % (211837)CaDiCaL version: 2.1.3
% 0.89/0.47 % (211837)Termination reason: Instruction limit
% 0.89/0.47 % (211837)Termination phase: Saturation
% 0.89/0.47 % (211837)Time elapsed: 0.003 s
% 0.89/0.47 % (211837)Peak memory usage: 12 MB
% 0.89/0.47 % (211837)Instructions burned: 9 (million)
% 0.89/0.47 % (211836)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.89/0.47 % (211836)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.89/0.47 % (211839)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2092281011:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.89/0.47 % (211836)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=2484253652:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.89/0.47 % (211839)Instruction limit reached!
% 0.89/0.47 % (211839)------------------------------
% 0.89/0.47 % (211839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.47 % (211839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.47 % (211839)CaDiCaL version: 2.1.3
% 0.89/0.47 % (211839)Termination reason: Instruction limit
% 0.89/0.47 % (211839)Termination phase: Saturation
% 0.89/0.47 % (211839)Time elapsed: 0.004 s
% 0.89/0.47 % (211839)Peak memory usage: 12 MB
% 0.89/0.47 % (211839)Instructions burned: 7 (million)
% 0.89/0.47 % (211843)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1864043998:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.89/0.47 % (211828)Instruction limit reached!
% 0.89/0.47 % (211828)------------------------------
% 0.89/0.47 % (211828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.47 % (211828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.47 % (211828)CaDiCaL version: 2.1.3
% 0.89/0.47 % (211828)Termination reason: Instruction limit
% 0.89/0.47 % (211828)Termination phase: Saturation
% 0.89/0.47 % (211828)Time elapsed: 0.024 s
% 0.89/0.47 % (211828)Peak memory usage: 12 MB
% 0.89/0.47 % (211828)Instructions burned: 26 (million)
% 0.89/0.47 % (211838)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=3236623280:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.89/0.47 % (211832)Instruction limit reached!
% 0.89/0.47 % (211832)------------------------------
% 0.89/0.47 % (211832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.47 % (211832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.47 % (211832)CaDiCaL version: 2.1.3
% 0.89/0.47 % (211832)Termination reason: Instruction limit
% 0.89/0.47 % (211832)Termination phase: Saturation
% 1.61/0.51 % (211832)Time elapsed: 0.032 s
% 1.61/0.51 % (211832)Peak memory usage: 12 MB
% 1.61/0.51 % (211832)Instructions burned: 61 (million)
% 1.61/0.51 % (211836)Instruction limit reached!
% 1.61/0.51 % (211836)------------------------------
% 1.61/0.51 % (211836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.51 % (211836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.51 % (211836)CaDiCaL version: 2.1.3
% 1.61/0.51 % (211836)Termination reason: Instruction limit
% 1.61/0.51 % (211836)Termination phase: Saturation
% 1.61/0.51 % (211836)Time elapsed: 0.016 s
% 1.61/0.51 % (211836)Peak memory usage: 12 MB
% 1.61/0.51 % (211836)Instructions burned: 14 (million)
% 1.61/0.51 % (211843)Instruction limit reached!
% 1.61/0.51 % (211843)------------------------------
% 1.61/0.51 % (211843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.51 % (211843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.51 % (211843)CaDiCaL version: 2.1.3
% 1.61/0.51 % (211843)Termination reason: Instruction limit
% 1.61/0.51 % (211843)Termination phase: Saturation
% 1.61/0.51 % (211843)Time elapsed: 0.010 s
% 1.61/0.51 % (211843)Peak memory usage: 11 MB
% 1.61/0.51 % (211843)Instructions burned: 23 (million)
% 1.61/0.51 % (211846)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3443769256:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.61/0.51 % (211848)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1872603377:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.61/0.51 % (211838)Instruction limit reached!
% 1.61/0.51 % (211838)------------------------------
% 1.61/0.51 % (211838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.51 % (211838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.51 % (211838)CaDiCaL version: 2.1.3
% 1.61/0.51 % (211838)Termination reason: Instruction limit
% 1.61/0.51 % (211838)Termination phase: Saturation
% 1.61/0.51 % (211838)Time elapsed: 0.016 s
% 1.61/0.51 % (211838)Peak memory usage: 12 MB
% 1.61/0.51 % (211838)Instructions burned: 32 (million)
% 1.61/0.51 % (211846)Instruction limit reached!
% 1.61/0.51 % (211846)------------------------------
% 1.61/0.51 % (211846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.51 % (211846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.51 % (211846)CaDiCaL version: 2.1.3
% 1.61/0.51 % (211846)Termination reason: Instruction limit
% 1.61/0.51 % (211846)Termination phase: Saturation
% 1.61/0.51 % (211846)Time elapsed: 0.013 s
% 1.61/0.51 % (211846)Peak memory usage: 12 MB
% 1.61/0.51 % (211846)Instructions burned: 21 (million)
% 1.61/0.51 % (211850)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2949763132:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.61/0.51 % (211851)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1302660202:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.61/0.51 % (211851)Refutation not found, incomplete strategy
% 1.61/0.51 % (211851)------------------------------
% 1.61/0.51 % (211851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.51 % (211851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.51 % (211851)CaDiCaL version: 2.1.3
% 1.61/0.51 % (211851)Termination reason: Refutation not found, incomplete strategy
% 1.61/0.51 % (211851)Time elapsed: 0.001 s
% 1.61/0.51 % (211851)Peak memory usage: 11 MB
% 1.61/0.51 % (211851)Instructions burned: 1 (million)
% 1.61/0.51 % (211852)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1367287388:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.61/0.51 % (211851)------------------------------
% 1.61/0.51 % (211851)------------------------------
% 1.61/0.51 % (211855)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.61/0.51 % (211855)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1409041862:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.61/0.51 % (211856)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4217699056:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.41/0.59 % (211855)Instruction limit reached!
% 2.41/0.59 % (211855)------------------------------
% 2.41/0.59 % (211855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (211855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (211855)CaDiCaL version: 2.1.3
% 2.41/0.59 % (211855)Termination reason: Instruction limit
% 2.41/0.59 % (211855)Termination phase: Saturation
% 2.41/0.59 % (211855)Time elapsed: 0.004 s
% 2.41/0.59 % (211855)Peak memory usage: 12 MB
% 2.41/0.59 % (211855)Instructions burned: 7 (million)
% 2.41/0.59 % (211856)Refutation not found, incomplete strategy
% 2.41/0.59 % (211856)------------------------------
% 2.41/0.59 % (211856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (211856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (211856)CaDiCaL version: 2.1.3
% 2.41/0.59 % (211856)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.59 % (211856)Time elapsed: 0.001 s
% 2.41/0.59 % (211856)Peak memory usage: 11 MB
% 2.41/0.59 % (211856)Instructions burned: 1 (million)
% 2.41/0.59 % (211856)------------------------------
% 2.41/0.59 % (211856)------------------------------
% 2.41/0.59 % (211860)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=160776482:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.41/0.59 % (211860)Refutation not found, incomplete strategy
% 2.41/0.59 % (211860)------------------------------
% 2.41/0.59 % (211860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (211860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (211860)CaDiCaL version: 2.1.3
% 2.41/0.59 % (211860)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.59 % (211860)Time elapsed: 0.001 s
% 2.41/0.59 % (211860)Peak memory usage: 11 MB
% 2.41/0.59 % (211860)Instructions burned: 1 (million)
% 2.41/0.59 % (211860)------------------------------
% 2.41/0.59 % (211860)------------------------------
% 2.41/0.59 % (211863)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.41/0.59 % (211852)Instruction limit reached!
% 2.41/0.59 % (211852)------------------------------
% 2.41/0.59 % (211852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (211852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (211852)CaDiCaL version: 2.1.3
% 2.41/0.59 % (211852)Termination reason: Instruction limit
% 2.41/0.59 % (211852)Termination phase: Saturation
% 2.41/0.59 % (211852)Time elapsed: 0.032 s
% 2.41/0.59 % (211852)Peak memory usage: 12 MB
% 2.41/0.59 % (211852)Instructions burned: 42 (million)
% 2.41/0.59 % (211863)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1467845614:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 2.41/0.59 % (211863)Refutation not found, incomplete strategy
% 2.41/0.59 % (211863)------------------------------
% 2.41/0.59 % (211863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (211863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (211863)CaDiCaL version: 2.1.3
% 2.41/0.59 % (211863)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.59 % (211863)Time elapsed: 0.001 s
% 2.41/0.59 % (211863)Peak memory usage: 11 MB
% 2.41/0.59 % (211863)Instructions burned: 1 (million)
% 2.41/0.59 % (211864)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1832430251:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.41/0.59 % (211863)------------------------------
% 2.41/0.59 % (211863)------------------------------
% 2.41/0.59 % (211864)Instruction limit reached!
% 2.41/0.59 % (211864)------------------------------
% 2.41/0.59 % (211864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (211864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (211864)CaDiCaL version: 2.1.3
% 2.41/0.59 % (211864)Termination reason: Instruction limit
% 2.41/0.59 % (211864)Termination phase: Saturation
% 2.41/0.59 % (211864)Time elapsed: 0.011 s
% 2.41/0.59 % (211864)Peak memory usage: 12 MB
% 2.41/0.59 % (211864)Instructions burned: 23 (million)
% 2.41/0.64 % (211866)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=534806258:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.41/0.64 % (211868)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=3831068283:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.41/0.64 % (211866)Refutation not found, incomplete strategy
% 2.41/0.64 % (211866)------------------------------
% 2.41/0.64 % (211866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (211866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (211866)CaDiCaL version: 2.1.3
% 2.41/0.64 % (211866)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.64 % (211866)Time elapsed: 0.004 s
% 2.41/0.64 % (211866)Peak memory usage: 12 MB
% 2.41/0.64 % (211866)Instructions burned: 3 (million)
% 2.41/0.64 % (211870)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=3207277834: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)
% 2.41/0.64 % (211850)Instruction limit reached!
% 2.41/0.64 % (211850)------------------------------
% 2.41/0.64 % (211850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (211850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (211850)CaDiCaL version: 2.1.3
% 2.41/0.64 % (211850)Termination reason: Instruction limit
% 2.41/0.64 % (211850)Termination phase: Saturation
% 2.41/0.64 % (211850)Time elapsed: 0.056 s
% 2.41/0.64 % (211850)Peak memory usage: 12 MB
% 2.41/0.64 % (211850)Instructions burned: 145 (million)
% 2.41/0.64 % (211866)------------------------------
% 2.41/0.64 % (211866)------------------------------
% 2.41/0.64 % (211871)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=2133994236:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.41/0.64 % (211875)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=955707539:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.41/0.64 % (211876)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3726500360:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.41/0.64 % (211875)Refutation not found, incomplete strategy
% 2.41/0.64 % (211875)------------------------------
% 2.41/0.64 % (211875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (211875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (211875)CaDiCaL version: 2.1.3
% 2.41/0.64 % (211875)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.64 % (211875)Time elapsed: 0.001 s
% 2.41/0.64 % (211875)Peak memory usage: 12 MB
% 2.41/0.64 % (211875)Instructions burned: 1 (million)
% 2.41/0.64 % (211875)------------------------------
% 2.41/0.64 % (211875)------------------------------
% 2.41/0.64 % (211876)Instruction limit reached!
% 2.41/0.64 % (211876)------------------------------
% 2.41/0.64 % (211876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (211876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (211876)CaDiCaL version: 2.1.3
% 2.41/0.64 % (211876)Termination reason: Instruction limit
% 2.41/0.64 % (211876)Termination phase: Saturation
% 2.41/0.64 % (211876)Time elapsed: 0.012 s
% 2.41/0.64 % (211876)Peak memory usage: 12 MB
% 2.41/0.64 % (211876)Instructions burned: 21 (million)
% 2.41/0.64 % (211871)Instruction limit reached!
% 2.41/0.64 % (211871)------------------------------
% 2.41/0.64 % (211871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (211871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (211871)CaDiCaL version: 2.1.3
% 2.41/0.64 % (211871)Termination reason: Instruction limit
% 2.41/0.64 % (211871)Termination phase: Saturation
% 2.41/0.64 % (211871)Time elapsed: 0.026 s
% 2.41/0.64 % (211871)Peak memory usage: 12 MB
% 2.41/0.64 % (211871)Instructions burned: 45 (million)
% 2.41/0.64 % (211880)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.82/0.67 % (211880)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2225309302:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.82/0.67 % (211791)Instruction limit reached!
% 2.82/0.67 % (211791)------------------------------
% 2.82/0.67 % (211791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.67 % (211791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.67 % (211791)CaDiCaL version: 2.1.3
% 2.82/0.67 % (211791)Termination reason: Instruction limit
% 2.82/0.67 % (211791)Termination phase: Saturation
% 2.82/0.67 % (211791)Time elapsed: 0.257 s
% 2.82/0.67 % (211791)Peak memory usage: 13 MB
% 2.82/0.67 % (211791)Instructions burned: 636 (million)
% 2.82/0.67 % (211881)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=113014485:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.82/0.67 % (211882)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=2082995686:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.82/0.67 % (211881)Instruction limit reached!
% 2.82/0.67 % (211881)------------------------------
% 2.82/0.67 % (211881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.67 % (211881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.67 % (211881)CaDiCaL version: 2.1.3
% 2.82/0.67 % (211881)Termination reason: Instruction limit
% 2.82/0.67 % (211881)Termination phase: Saturation
% 2.82/0.67 % (211881)Time elapsed: 0.009 s
% 2.82/0.67 % (211881)Peak memory usage: 12 MB
% 2.82/0.67 % (211881)Instructions burned: 14 (million)
% 2.82/0.67 % (211884)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3509950759:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.82/0.67 % (211884)Refutation not found, incomplete strategy
% 2.82/0.67 % (211884)------------------------------
% 2.82/0.67 % (211884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.67 % (211884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.67 % (211884)CaDiCaL version: 2.1.3
% 2.82/0.67 % (211884)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.67 % (211884)Time elapsed: 0.002 s
% 2.82/0.67 % (211884)Peak memory usage: 12 MB
% 2.82/0.67 % (211884)Instructions burned: 2 (million)
% 2.82/0.67 % (211884)------------------------------
% 2.82/0.67 % (211884)------------------------------
% 2.82/0.67 % (211887)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1310957333:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.82/0.67 % (211889)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1364943514:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.82/0.67 % (211887)Instruction limit reached!
% 2.82/0.67 % (211887)------------------------------
% 2.82/0.67 % (211887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.67 % (211887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.67 % (211887)CaDiCaL version: 2.1.3
% 2.82/0.67 % (211887)Termination reason: Instruction limit
% 2.82/0.67 % (211887)Termination phase: Saturation
% 2.82/0.67 % (211887)Time elapsed: 0.017 s
% 2.82/0.67 % (211887)Peak memory usage: 12 MB
% 2.82/0.67 % (211887)Instructions burned: 33 (million)
% 2.82/0.67 % (211882)Instruction limit reached!
% 2.82/0.67 % (211882)------------------------------
% 2.82/0.67 % (211882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.67 % (211882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.67 % (211882)CaDiCaL version: 2.1.3
% 2.82/0.67 % (211882)Termination reason: Instruction limit
% 2.82/0.67 % (211882)Termination phase: Saturation
% 2.82/0.67 % (211882)Time elapsed: 0.048 s
% 2.82/0.67 % (211882)Peak memory usage: 12 MB
% 2.82/0.67 % (211882)Instructions burned: 67 (million)
% 2.82/0.67 % (211880)Instruction limit reached!
% 2.82/0.67 % (211880)------------------------------
% 2.82/0.67 % (211880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.67 % (211880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.71 % (211880)CaDiCaL version: 2.1.3
% 3.12/0.71 % (211880)Termination reason: Instruction limit
% 3.12/0.71 % (211880)Termination phase: Saturation
% 3.12/0.71 % (211880)Time elapsed: 0.074 s
% 3.12/0.71 % (211880)Peak memory usage: 12 MB
% 3.12/0.71 % (211880)Instructions burned: 202 (million)
% 3.12/0.71 % (211893)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2483384852:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.12/0.71 % (211893)Refutation not found, incomplete strategy
% 3.12/0.71 % (211893)------------------------------
% 3.12/0.71 % (211893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.71 % (211893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.71 % (211893)CaDiCaL version: 2.1.3
% 3.12/0.71 % (211893)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.71 % (211893)Time elapsed: 0.002 s
% 3.12/0.71 % (211893)Peak memory usage: 12 MB
% 3.12/0.71 % (211893)Instructions burned: 2 (million)
% 3.12/0.71 % (211893)------------------------------
% 3.12/0.71 % (211893)------------------------------
% 3.12/0.71 % (211892)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=2479399062:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.12/0.71 % (211894)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.12/0.71 % (211894)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2139905503:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.12/0.71 % (211896)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=188195817:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.12/0.71 % (211896)Refutation not found, incomplete strategy
% 3.12/0.71 % (211896)------------------------------
% 3.12/0.71 % (211896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.71 % (211896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.71 % (211896)CaDiCaL version: 2.1.3
% 3.12/0.71 % (211896)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.71 % (211896)Time elapsed: 0.001 s
% 3.12/0.71 % (211896)Peak memory usage: 11 MB
% 3.12/0.71 % (211896)Instructions burned: 1 (million)
% 3.12/0.71 % (211889)Instruction limit reached!
% 3.12/0.71 % (211889)------------------------------
% 3.12/0.71 % (211889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.71 % (211889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.71 % (211889)CaDiCaL version: 2.1.3
% 3.12/0.71 % (211889)Termination reason: Instruction limit
% 3.12/0.71 % (211889)Termination phase: Saturation
% 3.12/0.71 % (211889)Time elapsed: 0.060 s
% 3.12/0.71 % (211889)Peak memory usage: 13 MB
% 3.12/0.71 % (211889)Instructions burned: 139 (million)
% 3.12/0.71 % (211896)------------------------------
% 3.12/0.71 % (211896)------------------------------
% 3.12/0.71 % (211848)Instruction limit reached!
% 3.12/0.71 % (211848)------------------------------
% 3.12/0.71 % (211848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.71 % (211848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.71 % (211848)CaDiCaL version: 2.1.3
% 3.12/0.71 % (211848)Termination reason: Instruction limit
% 3.12/0.71 % (211848)Termination phase: Saturation
% 3.12/0.71 % (211848)Time elapsed: 0.223 s
% 3.12/0.71 % (211848)Peak memory usage: 12 MB
% 3.12/0.71 % (211848)Instructions burned: 1249 (million)
% 3.12/0.71 % (211868)Instruction limit reached!
% 3.12/0.71 % (211868)------------------------------
% 3.12/0.71 % (211868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.71 % (211868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.71 % (211868)CaDiCaL version: 2.1.3
% 3.12/0.71 % (211868)Termination reason: Instruction limit
% 3.12/0.71 % (211868)Termination phase: Saturation
% 3.12/0.71 % (211868)Time elapsed: 0.161 s
% 3.12/0.71 % (211868)Peak memory usage: 13 MB
% 3.12/0.71 % (211868)Instructions burned: 316 (million)
% 3.12/0.71 % (211902)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=523371306:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.12/0.71 % (211902)Refutation not found, incomplete strategy
% 3.12/0.71 % (211902)------------------------------
% 3.12/0.71 % (211902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.76 % (211902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.76 % (211902)CaDiCaL version: 2.1.3
% 3.12/0.76 % (211902)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.76 % (211902)Time elapsed: 0.0000 s
% 3.12/0.76 % (211902)Peak memory usage: 11 MB
% 3.12/0.76 % (211902)Instructions burned: 1 (million)
% 3.12/0.76 % (211902)------------------------------
% 3.12/0.76 % (211902)------------------------------
% 3.12/0.76 % (211900)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2972489763:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.12/0.76 % (211892)Instruction limit reached!
% 3.12/0.76 % (211892)------------------------------
% 3.12/0.76 % (211892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.76 % (211892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.76 % (211892)CaDiCaL version: 2.1.3
% 3.12/0.76 % (211892)Termination reason: Instruction limit
% 3.12/0.76 % (211892)Termination phase: Saturation
% 3.12/0.76 % (211892)Time elapsed: 0.033 s
% 3.12/0.76 % (211892)Peak memory usage: 12 MB
% 3.12/0.76 % (211892)Instructions burned: 35 (million)
% 3.12/0.76 % (211901)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2834678001:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.12/0.76 % (211901)Refutation not found, incomplete strategy
% 3.12/0.76 % (211901)------------------------------
% 3.12/0.76 % (211901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.76 % (211901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.76 % (211901)CaDiCaL version: 2.1.3
% 3.12/0.76 % (211901)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.76 % (211901)Time elapsed: 0.001 s
% 3.12/0.76 % (211901)Peak memory usage: 11 MB
% 3.12/0.76 % (211901)Instructions burned: 1 (million)
% 3.12/0.76 % (211901)------------------------------
% 3.12/0.76 % (211901)------------------------------
% 3.12/0.76 % (211905)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1974454152:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.12/0.76 % (211905)Refutation not found, incomplete strategy
% 3.12/0.76 % (211905)------------------------------
% 3.12/0.76 % (211905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.76 % (211905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.76 % (211905)CaDiCaL version: 2.1.3
% 3.12/0.76 % (211905)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.76 % (211905)Time elapsed: 0.0000 s
% 3.12/0.76 % (211905)Peak memory usage: 11 MB
% 3.12/0.76 % (211905)Instructions burned: 1 (million)
% 3.12/0.76 % (211905)------------------------------
% 3.12/0.76 % (211905)------------------------------
% 3.12/0.76 % (211903)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2669904280:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.12/0.76 % (211903)Refutation not found, incomplete strategy
% 3.12/0.76 % (211903)------------------------------
% 3.12/0.76 % (211903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.76 % (211903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.76 % (211903)CaDiCaL version: 2.1.3
% 3.12/0.76 % (211903)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.76 % (211903)Time elapsed: 0.001 s
% 3.12/0.76 % (211903)Peak memory usage: 12 MB
% 3.12/0.76 % (211903)Instructions burned: 1 (million)
% 3.12/0.76 % (211903)------------------------------
% 3.12/0.76 % (211903)------------------------------
% 3.12/0.76 % (211911)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1803241109:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.12/0.76 % (211908)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3047891330:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.12/0.76 % (211909)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2006104768:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.12/0.76 % (211909)Refutation not found, incomplete strategy
% 3.12/0.76 % (211909)------------------------------
% 3.12/0.76 % (211909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.79 % (211909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.79 % (211909)CaDiCaL version: 2.1.3
% 3.12/0.79 % (211909)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.79 % (211909)Time elapsed: 0.001 s
% 3.12/0.79 % (211909)Peak memory usage: 12 MB
% 3.12/0.79 % (211909)Instructions burned: 1 (million)
% 3.12/0.79 % (211909)------------------------------
% 3.12/0.79 % (211909)------------------------------
% 3.12/0.79 % (211913)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=622067489:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.12/0.79 % (211908)Instruction limit reached!
% 3.12/0.79 % (211908)------------------------------
% 3.12/0.79 % (211908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.79 % (211908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.79 % (211908)CaDiCaL version: 2.1.3
% 3.12/0.79 % (211908)Termination reason: Instruction limit
% 3.12/0.79 % (211908)Termination phase: Saturation
% 3.12/0.79 % (211908)Time elapsed: 0.021 s
% 3.12/0.79 % (211908)Peak memory usage: 12 MB
% 3.12/0.79 % (211908)Instructions burned: 45 (million)
% 3.12/0.79 % (211900)Instruction limit reached!
% 3.12/0.79 % (211900)------------------------------
% 3.12/0.79 % (211900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.79 % (211900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.79 % (211900)CaDiCaL version: 2.1.3
% 3.12/0.79 % (211900)Termination reason: Instruction limit
% 3.12/0.79 % (211900)Termination phase: Saturation
% 3.12/0.79 % (211900)Time elapsed: 0.044 s
% 3.12/0.79 % (211900)Peak memory usage: 12 MB
% 3.12/0.79 % (211900)Instructions burned: 97 (million)
% 3.12/0.79 % (211917)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=4072765370:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.12/0.79 % (211894)Instruction limit reached!
% 3.12/0.79 % (211894)------------------------------
% 3.12/0.79 % (211894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.79 % (211894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.79 % (211894)CaDiCaL version: 2.1.3
% 3.12/0.79 % (211894)Termination reason: Instruction limit
% 3.12/0.79 % (211894)Termination phase: Saturation
% 3.12/0.79 % (211894)Time elapsed: 0.082 s
% 3.12/0.79 % (211894)Peak memory usage: 12 MB
% 3.12/0.79 % (211894)Instructions burned: 180 (million)
% 3.12/0.79 % (211919)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=1512060440:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.12/0.79 % (211920)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=3870183329:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.12/0.79 % (211920)Refutation not found, incomplete strategy
% 3.12/0.79 % (211920)------------------------------
% 3.12/0.79 % (211920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.79 % (211920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.79 % (211920)CaDiCaL version: 2.1.3
% 3.12/0.79 % (211920)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.79 % (211920)Time elapsed: 0.001 s
% 3.12/0.79 % (211920)Peak memory usage: 12 MB
% 3.12/0.79 % (211920)Instructions burned: 1 (million)
% 3.12/0.79 % (211920)------------------------------
% 3.12/0.79 % (211920)------------------------------
% 3.12/0.79 % (211922)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=231968442:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.12/0.79 % (211922)Refutation not found, incomplete strategy
% 3.12/0.79 % (211922)------------------------------
% 3.12/0.79 % (211922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.79 % (211922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.79 % (211922)CaDiCaL version: 2.1.3
% 3.12/0.79 % (211922)Termination reason: Refutation not found, incomplete strategy
% 3.72/0.86 % (211922)Time elapsed: 0.001 s
% 3.72/0.86 % (211922)Peak memory usage: 11 MB
% 3.72/0.86 % (211922)------------------------------
% 3.72/0.86 % (211922)------------------------------
% 3.72/0.86 % (211913)Instruction limit reached!
% 3.72/0.86 % (211913)------------------------------
% 3.72/0.86 % (211913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.86 % (211913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.86 % (211913)CaDiCaL version: 2.1.3
% 3.72/0.86 % (211913)Termination reason: Instruction limit
% 3.72/0.86 % (211913)Termination phase: Saturation
% 3.72/0.86 % (211913)Time elapsed: 0.042 s
% 3.72/0.86 % (211913)Peak memory usage: 12 MB
% 3.72/0.86 % (211913)Instructions burned: 97 (million)
% 3.72/0.86 % (211917)Instruction limit reached!
% 3.72/0.86 % (211917)------------------------------
% 3.72/0.86 % (211917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.86 % (211917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.86 % (211917)CaDiCaL version: 2.1.3
% 3.72/0.86 % (211917)Termination reason: Instruction limit
% 3.72/0.86 % (211917)Termination phase: Saturation
% 3.72/0.86 % (211917)Time elapsed: 0.032 s
% 3.72/0.86 % (211917)Peak memory usage: 12 MB
% 3.72/0.86 % (211917)Instructions burned: 67 (million)
% 3.72/0.86 % (211925)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1043814326:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.72/0.86 % (211927)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=3849772779:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.72/0.86 % (211928)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1328416018:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.72/0.86 % (211929)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3037946778:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.72/0.86 % (211929)Refutation not found, incomplete strategy
% 3.72/0.86 % (211929)------------------------------
% 3.72/0.86 % (211929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.86 % (211929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.86 % (211929)CaDiCaL version: 2.1.3
% 3.72/0.86 % (211929)Termination reason: Refutation not found, incomplete strategy
% 3.72/0.86 % (211929)Time elapsed: 0.001 s
% 3.72/0.86 % (211929)Peak memory usage: 11 MB
% 3.72/0.86 % (211929)------------------------------
% 3.72/0.86 % (211929)------------------------------
% 3.72/0.86 % (211911)Instruction limit reached!
% 3.72/0.86 % (211911)------------------------------
% 3.72/0.86 % (211911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.86 % (211911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.86 % (211911)CaDiCaL version: 2.1.3
% 3.72/0.86 % (211911)Termination reason: Instruction limit
% 3.72/0.86 % (211911)Termination phase: Saturation
% 3.72/0.86 % (211911)Time elapsed: 0.082 s
% 3.72/0.86 % (211911)Peak memory usage: 12 MB
% 3.72/0.86 % (211911)Instructions burned: 453 (million)
% 3.72/0.86 % (211927)Instruction limit reached!
% 3.72/0.86 % (211927)------------------------------
% 3.72/0.86 % (211927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.86 % (211927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.86 % (211927)CaDiCaL version: 2.1.3
% 3.72/0.86 % (211927)Termination reason: Instruction limit
% 3.72/0.86 % (211927)Termination phase: Saturation
% 3.72/0.86 % (211927)Time elapsed: 0.019 s
% 3.72/0.86 % (211927)Peak memory usage: 12 MB
% 3.72/0.86 % (211927)Instructions burned: 35 (million)
% 3.72/0.86 % (211935)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=969014946:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.72/0.86 % (211919)Instruction limit reached!
% 3.72/0.86 % (211919)------------------------------
% 3.72/0.86 % (211919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.86 % (211919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.86 % (211934)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2572279551:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.05/0.97 % (211919)CaDiCaL version: 2.1.3
% 4.05/0.97 % (211919)Termination reason: Instruction limit
% 4.05/0.97 % (211919)Termination phase: Saturation
% 4.05/0.97 % (211919)Time elapsed: 0.056 s
% 4.05/0.97 % (211919)Peak memory usage: 12 MB
% 4.05/0.97 % (211919)Instructions burned: 105 (million)
% 4.05/0.97 % (211934)Instruction limit reached!
% 4.05/0.97 % (211934)------------------------------
% 4.05/0.97 % (211934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (211934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (211934)CaDiCaL version: 2.1.3
% 4.05/0.97 % (211934)Termination reason: Instruction limit
% 4.05/0.97 % (211934)Termination phase: Saturation
% 4.05/0.97 % (211934)Time elapsed: 0.011 s
% 4.05/0.97 % (211934)Peak memory usage: 12 MB
% 4.05/0.97 % (211934)Instructions burned: 23 (million)
% 4.05/0.97 % (211936)lrs+10_1_sil=128000:si=on:urr=on:random_seed=116257702:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 4.05/0.97 % (211936)Refutation not found, incomplete strategy
% 4.05/0.97 % (211936)------------------------------
% 4.05/0.97 % (211936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (211936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (211936)CaDiCaL version: 2.1.3
% 4.05/0.97 % (211936)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.97 % (211936)Time elapsed: 0.001 s
% 4.05/0.97 % (211936)Peak memory usage: 11 MB
% 4.05/0.97 % (211936)Instructions burned: 1 (million)
% 4.05/0.97 % (211936)------------------------------
% 4.05/0.97 % (211936)------------------------------
% 4.05/0.97 % (211928)Instruction limit reached!
% 4.05/0.97 % (211928)------------------------------
% 4.05/0.97 % (211928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (211928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (211928)CaDiCaL version: 2.1.3
% 4.05/0.97 % (211928)Termination reason: Instruction limit
% 4.05/0.97 % (211928)Termination phase: Saturation
% 4.05/0.97 % (211928)Time elapsed: 0.039 s
% 4.05/0.97 % (211928)Peak memory usage: 12 MB
% 4.05/0.97 % (211928)Instructions burned: 92 (million)
% 4.05/0.97 % (211939)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.05/0.97 % (211870)Instruction limit reached!
% 4.05/0.97 % (211870)------------------------------
% 4.05/0.97 % (211870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (211870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (211870)CaDiCaL version: 2.1.3
% 4.05/0.97 % (211870)Termination reason: Instruction limit
% 4.05/0.97 % (211870)Termination phase: Saturation
% 4.05/0.97 % (211870)Time elapsed: 0.300 s
% 4.05/0.97 % (211870)Peak memory usage: 13 MB
% 4.05/0.97 % (211870)Instructions burned: 860 (million)
% 4.05/0.97 % (211939)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3077070950:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.05/0.97 % (211943)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.05/0.97 % (211942)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2687140340:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.05/0.97 % (211943)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2513979161:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.05/0.97 % (211942)Refutation not found, incomplete strategy
% 4.05/0.97 % (211942)------------------------------
% 4.05/0.97 % (211942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (211942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (211942)CaDiCaL version: 2.1.3
% 4.05/0.97 % (211942)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.97 % (211942)Time elapsed: 0.001 s
% 4.05/0.97 % (211942)Peak memory usage: 11 MB
% 4.05/0.97 % (211944)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=587385893:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.05/0.99 % (211941)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=20086506:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.05/0.99 % (211942)------------------------------
% 4.05/0.99 % (211942)------------------------------
% 4.05/0.99 % (211950)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4275866676:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.05/0.99 % (211950)Refutation not found, incomplete strategy
% 4.05/0.99 % (211950)------------------------------
% 4.05/0.99 % (211950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (211950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (211950)CaDiCaL version: 2.1.3
% 4.05/0.99 % (211950)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.99 % (211950)Time elapsed: 0.002 s
% 4.05/0.99 % (211950)Peak memory usage: 12 MB
% 4.05/0.99 % (211950)Instructions burned: 2 (million)
% 4.05/0.99 % (211950)------------------------------
% 4.05/0.99 % (211950)------------------------------
% 4.05/0.99 % (211935)Instruction limit reached!
% 4.05/0.99 % (211935)------------------------------
% 4.05/0.99 % (211935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (211935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (211935)CaDiCaL version: 2.1.3
% 4.05/0.99 % (211935)Termination reason: Instruction limit
% 4.05/0.99 % (211935)Termination phase: Saturation
% 4.05/0.99 % (211935)Time elapsed: 0.080 s
% 4.05/0.99 % (211935)Peak memory usage: 14 MB
% 4.05/0.99 % (211935)Instructions burned: 343 (million)
% 4.05/0.99 % (211952)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=589596797:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.05/0.99 % (211939)Instruction limit reached!
% 4.05/0.99 % (211939)------------------------------
% 4.05/0.99 % (211939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (211939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (211939)CaDiCaL version: 2.1.3
% 4.05/0.99 % (211939)Termination reason: Instruction limit
% 4.05/0.99 % (211939)Termination phase: Saturation
% 4.05/0.99 % (211939)Time elapsed: 0.060 s
% 4.05/0.99 % (211939)Peak memory usage: 12 MB
% 4.05/0.99 % (211939)Instructions burned: 138 (million)
% 4.05/0.99 % (211954)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=672367755: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_2994 on theBenchmark for (2994ds/9840Mi)
% 4.05/0.99 % (211944)Instruction limit reached!
% 4.05/0.99 % (211944)------------------------------
% 4.05/0.99 % (211944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (211944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (211944)CaDiCaL version: 2.1.3
% 4.05/0.99 % (211944)Termination reason: Instruction limit
% 4.05/0.99 % (211944)Termination phase: Saturation
% 4.05/0.99 % (211944)Time elapsed: 0.051 s
% 4.05/0.99 % (211944)Peak memory usage: 12 MB
% 4.05/0.99 % (211944)Instructions burned: 118 (million)
% 4.05/0.99 % (211955)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1869351063:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 4.05/0.99 % (211955)Refutation not found, incomplete strategy
% 4.05/0.99 % (211955)------------------------------
% 4.05/0.99 % (211955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (211955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (211955)CaDiCaL version: 2.1.3
% 4.05/0.99 % (211955)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.99 % (211955)Time elapsed: 0.001 s
% 4.05/0.99 % (211955)Peak memory usage: 11 MB
% 4.05/0.99 % (211955)Instructions burned: 1 (million)
% 4.05/0.99 % (211957)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
% 4.05/0.99 % (211955)------------------------------
% 4.05/0.99 % (211955)------------------------------
% 4.05/1.04 % (211957)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=3569098490:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 4.05/1.04 % (211959)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=162038690:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.05/1.04 % (211959)Instruction limit reached!
% 4.05/1.04 % (211959)------------------------------
% 4.05/1.04 % (211959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.04 % (211959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.04 % (211959)CaDiCaL version: 2.1.3
% 4.05/1.04 % (211959)Termination reason: Instruction limit
% 4.05/1.04 % (211959)Termination phase: Saturation
% 4.05/1.04 % (211959)Time elapsed: 0.017 s
% 4.05/1.04 % (211959)Peak memory usage: 12 MB
% 4.05/1.04 % (211959)Instructions burned: 33 (million)
% 4.05/1.04 % (211962)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.05/1.04 % (211962)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
% 4.05/1.04 % (211962)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=3848143435:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 4.05/1.04 % (211925)Instruction limit reached!
% 4.05/1.04 % (211925)------------------------------
% 4.05/1.04 % (211925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.04 % (211925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.04 % (211925)CaDiCaL version: 2.1.3
% 4.05/1.04 % (211925)Termination reason: Instruction limit
% 4.05/1.04 % (211925)Termination phase: Saturation
% 4.05/1.04 % (211925)Time elapsed: 0.213 s
% 4.05/1.04 % (211925)Peak memory usage: 13 MB
% 4.05/1.04 % (211925)Instructions burned: 497 (million)
% 4.05/1.04 % (211952)Instruction limit reached!
% 4.05/1.04 % (211952)------------------------------
% 4.05/1.04 % (211952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.04 % (211952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.04 % (211952)CaDiCaL version: 2.1.3
% 4.05/1.04 % (211952)Termination reason: Instruction limit
% 4.05/1.04 % (211952)Termination phase: Saturation
% 4.05/1.04 % (211952)Time elapsed: 0.116 s
% 4.05/1.04 % (211952)Peak memory usage: 12 MB
% 4.05/1.04 % (211952)Instructions burned: 272 (million)
% 4.05/1.04 % (211964)dis+10_2_sil=128000:si=on:random_seed=4053160550:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 4.05/1.04 % (211964)Refutation not found, incomplete strategy
% 4.05/1.04 % (211964)------------------------------
% 4.05/1.04 % (211964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.04 % (211964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.04 % (211964)CaDiCaL version: 2.1.3
% 4.05/1.04 % (211964)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.04 % (211964)Time elapsed: 0.001 s
% 4.05/1.04 % (211964)Peak memory usage: 11 MB
% 4.05/1.04 % (211964)Instructions burned: 1 (million)
% 4.05/1.04 % (211964)------------------------------
% 4.05/1.04 % (211964)------------------------------
% 4.05/1.04 % (211957)Instruction limit reached!
% 4.05/1.04 % (211957)------------------------------
% 4.05/1.04 % (211957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.04 % (211957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.04 % (211957)CaDiCaL version: 2.1.3
% 4.05/1.04 % (211957)Termination reason: Instruction limit
% 4.05/1.04 % (211957)Termination phase: Saturation
% 4.05/1.04 % (211957)Time elapsed: 0.102 s
% 4.05/1.04 % (211957)Peak memory usage: 12 MB
% 4.05/1.04 % (211957)Instructions burned: 273 (million)
% 4.05/1.04 % (211965)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1905895581:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 4.05/1.04 % (211943)Instruction limit reached!
% 4.05/1.04 % (211943)------------------------------
% 4.05/1.04 % (211943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.14 % (211943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.14 % (211943)CaDiCaL version: 2.1.3
% 5.65/1.14 % (211943)Termination reason: Instruction limit
% 5.65/1.14 % (211943)Termination phase: Saturation
% 5.65/1.14 % (211943)Time elapsed: 0.178 s
% 5.65/1.14 % (211943)Peak memory usage: 12 MB
% 5.65/1.14 % (211943)Instructions burned: 375 (million)
% 5.65/1.14 % (211941)Instruction limit reached!
% 5.65/1.14 % (211941)------------------------------
% 5.65/1.14 % (211941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.14 % (211941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.14 % (211941)CaDiCaL version: 2.1.3
% 5.65/1.14 % (211941)Termination reason: Instruction limit
% 5.65/1.14 % (211941)Termination phase: Saturation
% 5.65/1.14 % (211941)Time elapsed: 0.178 s
% 5.65/1.14 % (211941)Peak memory usage: 13 MB
% 5.65/1.14 % (211941)Instructions burned: 340 (million)
% 5.65/1.14 % (211967)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=176449118:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 5.65/1.14 % (211967)Refutation not found, incomplete strategy
% 5.65/1.14 % (211967)------------------------------
% 5.65/1.14 % (211967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.14 % (211967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.14 % (211967)CaDiCaL version: 2.1.3
% 5.65/1.14 % (211967)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.14 % (211967)Time elapsed: 0.001 s
% 5.65/1.14 % (211967)Peak memory usage: 11 MB
% 5.65/1.14 % (211967)Instructions burned: 1 (million)
% 5.65/1.14 % (211967)------------------------------
% 5.65/1.14 % (211967)------------------------------
% 5.65/1.14 % (211968)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=2150752163:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 5.65/1.14 % (211968)Refutation not found, incomplete strategy
% 5.65/1.14 % (211968)------------------------------
% 5.65/1.14 % (211968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.14 % (211968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.14 % (211968)CaDiCaL version: 2.1.3
% 5.65/1.14 % (211968)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.14 % (211968)Time elapsed: 0.001 s
% 5.65/1.14 % (211968)Peak memory usage: 12 MB
% 5.65/1.14 % (211968)Instructions burned: 2 (million)
% 5.65/1.14 % (211968)------------------------------
% 5.65/1.14 % (211968)------------------------------
% 5.65/1.14 % (211970)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3547696335:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 5.65/1.14 % (211970)Refutation not found, incomplete strategy
% 5.65/1.14 % (211970)------------------------------
% 5.65/1.14 % (211970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.14 % (211970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.14 % (211970)CaDiCaL version: 2.1.3
% 5.65/1.14 % (211970)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.14 % (211970)Time elapsed: 0.001 s
% 5.65/1.14 % (211970)Peak memory usage: 11 MB
% 5.65/1.14 % (211970)------------------------------
% 5.65/1.14 % (211970)------------------------------
% 5.65/1.14 % (211971)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=2248349103:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 5.65/1.14 % (211971)Refutation not found, incomplete strategy
% 5.65/1.14 % (211971)------------------------------
% 5.65/1.14 % (211971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.14 % (211971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.14 % (211971)CaDiCaL version: 2.1.3
% 5.65/1.14 % (211971)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.14 % (211971)Time elapsed: 0.002 s
% 5.65/1.14 % (211971)Peak memory usage: 11 MB
% 5.65/1.14 % (211971)Instructions burned: 3 (million)
% 5.65/1.14 % (211971)------------------------------
% 5.65/1.14 % (211971)------------------------------
% 6.58/1.23 % (211973)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.58/1.23 % (211973)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=2031368253:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.58/1.23 % (211975)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=335030959:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.58/1.23 % (211975)Refutation not found, incomplete strategy
% 6.58/1.23 % (211975)------------------------------
% 6.58/1.23 % (211975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.23 % (211975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.23 % (211975)CaDiCaL version: 2.1.3
% 6.58/1.23 % (211975)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.23 % (211975)Time elapsed: 0.002 s
% 6.58/1.23 % (211975)Peak memory usage: 12 MB
% 6.58/1.23 % (211975)Instructions burned: 3 (million)
% 6.58/1.23 % (211975)------------------------------
% 6.58/1.23 % (211975)------------------------------
% 6.58/1.23 % (211978)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=1057809281:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.58/1.23 % (211979)lrs+10_1_sil=128000:si=on:urr=on:random_seed=587501806:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.58/1.23 % (211979)Refutation not found, incomplete strategy
% 6.58/1.23 % (211979)------------------------------
% 6.58/1.23 % (211979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.23 % (211979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.23 % (211979)CaDiCaL version: 2.1.3
% 6.58/1.23 % (211979)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.23 % (211979)Time elapsed: 0.001 s
% 6.58/1.23 % (211979)Peak memory usage: 12 MB
% 6.58/1.23 % (211979)Instructions burned: 1 (million)
% 6.58/1.23 % (211979)------------------------------
% 6.58/1.23 % (211979)------------------------------
% 6.58/1.23 % (211965)Instruction limit reached!
% 6.58/1.23 % (211965)------------------------------
% 6.58/1.23 % (211965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.23 % (211965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.23 % (211965)CaDiCaL version: 2.1.3
% 6.58/1.23 % (211965)Termination reason: Instruction limit
% 6.58/1.23 % (211965)Termination phase: Saturation
% 6.58/1.23 % (211965)Time elapsed: 0.052 s
% 6.58/1.23 % (211965)Peak memory usage: 12 MB
% 6.58/1.23 % (211965)Instructions burned: 113 (million)
% 6.58/1.23 % (211983)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3306135881:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.58/1.23 % (211983)Refutation not found, incomplete strategy
% 6.58/1.23 % (211983)------------------------------
% 6.58/1.23 % (211983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.23 % (211983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.23 % (211983)CaDiCaL version: 2.1.3
% 6.58/1.23 % (211983)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.23 % (211983)Time elapsed: 0.001 s
% 6.58/1.23 % (211983)Peak memory usage: 11 MB
% 6.58/1.23 % (211983)------------------------------
% 6.58/1.23 % (211983)------------------------------
% 6.58/1.23 % (211985)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4033523683:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.58/1.23 % (211985)Refutation not found, incomplete strategy
% 6.58/1.23 % (211985)------------------------------
% 6.58/1.23 % (211985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.23 % (211985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.23 % (211985)CaDiCaL version: 2.1.3
% 6.58/1.23 % (211985)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.23 % (211985)Time elapsed: 0.001 s
% 6.58/1.23 % (211985)Peak memory usage: 11 MB
% 6.58/1.23 % (211985)Instructions burned: 1 (million)
% 6.58/1.23 % (211985)------------------------------
% 6.58/1.23 % (211985)------------------------------
% 6.58/1.23 % (211986)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4189007453:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 7.47/1.45 % (211988)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2304377307:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 7.47/1.45 % (211990)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2738994112:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 7.47/1.45 % (211990)Refutation not found, incomplete strategy
% 7.47/1.45 % (211990)------------------------------
% 7.47/1.45 % (211990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.45 % (211990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.45 % (211990)CaDiCaL version: 2.1.3
% 7.47/1.45 % (211990)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.45 % (211990)Time elapsed: 0.001 s
% 7.47/1.45 % (211990)Peak memory usage: 11 MB
% 7.47/1.45 % (211990)Instructions burned: 1 (million)
% 7.47/1.45 % (211990)------------------------------
% 7.47/1.45 % (211990)------------------------------
% 7.47/1.45 % (211994)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=1173228823:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 7.47/1.45 % (211988)Instruction limit reached!
% 7.47/1.45 % (211988)------------------------------
% 7.47/1.45 % (211988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.45 % (211988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.45 % (211988)CaDiCaL version: 2.1.3
% 7.47/1.45 % (211988)Termination reason: Instruction limit
% 7.47/1.45 % (211988)Termination phase: Saturation
% 7.47/1.45 % (211988)Time elapsed: 0.034 s
% 7.47/1.45 % (211988)Peak memory usage: 12 MB
% 7.47/1.45 % (211988)Instructions burned: 77 (million)
% 7.47/1.45 % (211996)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=809737859:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.47/1.45 % (211986)Instruction limit reached!
% 7.47/1.45 % (211986)------------------------------
% 7.47/1.45 % (211986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.45 % (211986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.45 % (211986)CaDiCaL version: 2.1.3
% 7.47/1.45 % (211986)Termination reason: Instruction limit
% 7.47/1.45 % (211986)Termination phase: Saturation
% 7.47/1.45 % (211986)Time elapsed: 0.072 s
% 7.47/1.45 % (211986)Peak memory usage: 12 MB
% 7.47/1.45 % (211986)Instructions burned: 152 (million)
% 7.47/1.45 % (211998)lrs+10_1_sil=128000:si=on:random_seed=3751929624:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.47/1.45 % (211998)Refutation not found, incomplete strategy
% 7.47/1.45 % (211998)------------------------------
% 7.47/1.45 % (211998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.45 % (211998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.45 % (211998)CaDiCaL version: 2.1.3
% 7.47/1.45 % (211998)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.45 % (211998)Time elapsed: 0.001 s
% 7.47/1.45 % (211998)Peak memory usage: 11 MB
% 7.47/1.45 % (211998)Instructions burned: 1 (million)
% 7.47/1.45 % (211998)------------------------------
% 7.47/1.45 % (211998)------------------------------
% 7.47/1.45 % (211994)Instruction limit reached!
% 7.47/1.45 % (211994)------------------------------
% 7.47/1.45 % (211994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.45 % (211994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.45 % (211994)CaDiCaL version: 2.1.3
% 7.47/1.45 % (211994)Termination reason: Instruction limit
% 7.47/1.45 % (211994)Termination phase: Saturation
% 7.47/1.45 % (211994)Time elapsed: 0.064 s
% 7.47/1.45 % (211994)Peak memory usage: 12 MB
% 7.47/1.45 % (211994)Instructions burned: 148 (million)
% 7.47/1.45 % (211973)Instruction limit reached!
% 7.47/1.45 % (211973)------------------------------
% 7.47/1.45 % (211973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.45 % (211973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.45 % (211973)CaDiCaL version: 2.1.3
% 7.47/1.45 % (211973)Termination reason: Instruction limit
% 8.01/1.59 % (211973)Termination phase: Saturation
% 8.01/1.59 % (211973)Time elapsed: 0.146 s
% 8.01/1.59 % (211973)Peak memory usage: 13 MB
% 8.01/1.59 % (211973)Instructions burned: 282 (million)
% 8.01/1.59 % (212000)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=855315307:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 8.01/1.59 % (212000)Refutation not found, incomplete strategy
% 8.01/1.59 % (212000)------------------------------
% 8.01/1.59 % (212000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.59 % (212000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.59 % (212000)CaDiCaL version: 2.1.3
% 8.01/1.59 % (212000)Termination reason: Refutation not found, incomplete strategy
% 8.01/1.59 % (212000)Time elapsed: 0.002 s
% 8.01/1.59 % (212000)Peak memory usage: 12 MB
% 8.01/1.59 % (212000)Instructions burned: 3 (million)
% 8.01/1.59 % (212000)------------------------------
% 8.01/1.59 % (212000)------------------------------
% 8.01/1.59 % (212001)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=4012543019:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 8.01/1.59 % (211996)Instruction limit reached!
% 8.01/1.59 % (211996)------------------------------
% 8.01/1.59 % (211996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.59 % (211996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.59 % (211996)CaDiCaL version: 2.1.3
% 8.01/1.59 % (211996)Termination reason: Instruction limit
% 8.01/1.59 % (211996)Termination phase: Saturation
% 8.01/1.59 % (211996)Time elapsed: 0.060 s
% 8.01/1.59 % (211996)Peak memory usage: 12 MB
% 8.01/1.59 % (211996)Instructions burned: 162 (million)
% 8.01/1.59 % (212002)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3689379070:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 8.01/1.59 % (212004)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2850654946:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 8.01/1.59 % (212006)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=107533443:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 8.01/1.59 % (212001)Instruction limit reached!
% 8.01/1.59 % (212001)------------------------------
% 8.01/1.59 % (212001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.59 % (212001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.59 % (212001)CaDiCaL version: 2.1.3
% 8.01/1.59 % (212001)Termination reason: Instruction limit
% 8.01/1.59 % (212001)Termination phase: Saturation
% 8.01/1.59 % (212001)Time elapsed: 0.038 s
% 8.01/1.59 % (212001)Peak memory usage: 12 MB
% 8.01/1.59 % (212001)Instructions burned: 88 (million)
% 8.01/1.59 % (212002)Instruction limit reached!
% 8.01/1.59 % (212002)------------------------------
% 8.01/1.59 % (212002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.59 % (212002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.59 % (212002)CaDiCaL version: 2.1.3
% 8.01/1.59 % (212002)Termination reason: Instruction limit
% 8.01/1.59 % (212002)Termination phase: Saturation
% 8.01/1.59 % (212002)Time elapsed: 0.046 s
% 8.01/1.59 % (212002)Peak memory usage: 13 MB
% 8.01/1.59 % (212002)Instructions burned: 94 (million)
% 8.01/1.59 % (212010)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1188435985:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 8.01/1.59 % (212011)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.01/1.59 % (212011)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=1691008406:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.01/1.59 % (212011)Refutation not found, incomplete strategy
% 8.01/1.59 % (212011)------------------------------
% 8.01/1.59 % (212011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.59 % (212011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (212011)CaDiCaL version: 2.1.3
% 9.22/1.72 % (212011)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.72 % (212011)Time elapsed: 0.001 s
% 9.22/1.72 % (212011)Peak memory usage: 11 MB
% 9.22/1.72 % (212011)Instructions burned: 1 (million)
% 9.22/1.72 % (212011)------------------------------
% 9.22/1.72 % (212011)------------------------------
% 9.22/1.72 % (212014)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=493140881:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 9.22/1.72 % (212006)Instruction limit reached!
% 9.22/1.72 % (212006)------------------------------
% 9.22/1.72 % (212006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (212006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (212006)CaDiCaL version: 2.1.3
% 9.22/1.72 % (212006)Termination reason: Instruction limit
% 9.22/1.72 % (212006)Termination phase: Saturation
% 9.22/1.72 % (212006)Time elapsed: 0.098 s
% 9.22/1.72 % (212006)Peak memory usage: 13 MB
% 9.22/1.72 % (212006)Instructions burned: 240 (million)
% 9.22/1.72 % (212016)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3067140622:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 9.22/1.72 % (212016)Refutation not found, incomplete strategy
% 9.22/1.72 % (212016)------------------------------
% 9.22/1.72 % (212016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (212016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (212016)CaDiCaL version: 2.1.3
% 9.22/1.72 % (212016)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.72 % (212016)Time elapsed: 0.001 s
% 9.22/1.72 % (212016)Peak memory usage: 11 MB
% 9.22/1.72 % (212016)Instructions burned: 1 (million)
% 9.22/1.72 % (212016)------------------------------
% 9.22/1.72 % (212016)------------------------------
% 9.22/1.72 % (212018)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=4102973351:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 9.22/1.72 % (212014)Instruction limit reached!
% 9.22/1.72 % (212014)------------------------------
% 9.22/1.72 % (212014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (212014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (212014)CaDiCaL version: 2.1.3
% 9.22/1.72 % (212014)Termination reason: Instruction limit
% 9.22/1.72 % (212014)Termination phase: Saturation
% 9.22/1.72 % (212014)Time elapsed: 0.154 s
% 9.22/1.72 % (212014)Peak memory usage: 12 MB
% 9.22/1.72 % (212014)Instructions burned: 356 (million)
% 9.22/1.72 % (212020)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=3176395513: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_2988 on theBenchmark for (2988ds/2470Mi)
% 9.22/1.72 % (212018)Instruction limit reached!
% 9.22/1.72 % (212018)------------------------------
% 9.22/1.72 % (212018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (212018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (212018)CaDiCaL version: 2.1.3
% 9.22/1.72 % (212018)Termination reason: Instruction limit
% 9.22/1.72 % (212018)Termination phase: Saturation
% 9.22/1.72 % (212018)Time elapsed: 0.110 s
% 9.22/1.72 % (212018)Peak memory usage: 12 MB
% 9.22/1.72 % (212018)Instructions burned: 253 (million)
% 9.22/1.72 % (212022)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4152353544:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 9.22/1.72 % (211978)Instruction limit reached!
% 9.22/1.72 % (211978)------------------------------
% 9.22/1.72 % (211978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (211978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (211978)CaDiCaL version: 2.1.3
% 9.22/1.72 % (211978)Termination reason: Instruction limit
% 9.22/1.72 % (211978)Termination phase: Saturation
% 9.22/1.72 % (211978)Time elapsed: 0.442 s
% 9.22/1.72 % (211978)Peak memory usage: 15 MB
% 9.22/1.72 % (211978)Instructions burned: 865 (million)
% 9.22/1.72 % (211962)Instruction limit reached!
% 9.22/1.72 % (211962)------------------------------
% 10.01/1.92 % (211962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.92 % (211962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.92 % (211962)CaDiCaL version: 2.1.3
% 10.01/1.92 % (211962)Termination reason: Instruction limit
% 10.01/1.92 % (211962)Termination phase: Saturation
% 10.01/1.92 % (211962)Time elapsed: 0.535 s
% 10.01/1.92 % (211962)Peak memory usage: 13 MB
% 10.01/1.92 % (211962)Instructions burned: 1441 (million)
% 10.01/1.92 % (212024)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2754561541:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 10.01/1.92 % (212025)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3339796880:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 10.01/1.92 % (212024)Instruction limit reached!
% 10.01/1.92 % (212024)------------------------------
% 10.01/1.92 % (212024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.92 % (212024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.92 % (212024)CaDiCaL version: 2.1.3
% 10.01/1.92 % (212024)Termination reason: Instruction limit
% 10.01/1.92 % (212024)Termination phase: Saturation
% 10.01/1.92 % (212024)Time elapsed: 0.052 s
% 10.01/1.92 % (212024)Peak memory usage: 12 MB
% 10.01/1.92 % (212024)Instructions burned: 117 (million)
% 10.01/1.92 % (212028)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=3979262800:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/30Mi)
% 10.01/1.92 % (212010)Instruction limit reached!
% 10.01/1.92 % (212010)------------------------------
% 10.01/1.92 % (212010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.92 % (212010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.92 % (212010)CaDiCaL version: 2.1.3
% 10.01/1.92 % (212010)Termination reason: Instruction limit
% 10.01/1.92 % (212010)Termination phase: Saturation
% 10.01/1.92 % (212010)Time elapsed: 0.327 s
% 10.01/1.92 % (212010)Peak memory usage: 13 MB
% 10.01/1.92 % (212010)Instructions burned: 805 (million)
% 10.01/1.92 % (212028)Instruction limit reached!
% 10.01/1.92 % (212028)------------------------------
% 10.01/1.92 % (212028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.92 % (212028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.92 % (212028)CaDiCaL version: 2.1.3
% 10.01/1.92 % (212028)Termination reason: Instruction limit
% 10.01/1.92 % (212028)Termination phase: Saturation
% 10.01/1.92 % (212028)Time elapsed: 0.014 s
% 10.01/1.92 % (212028)Peak memory usage: 12 MB
% 10.01/1.92 % (212028)Instructions burned: 31 (million)
% 10.01/1.92 % (212030)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.01/1.92 % (212030)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=585226530:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2986 on theBenchmark for (2986ds/39Mi)
% 10.01/1.92 % (212031)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4119489715:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 10.01/1.92 % (212025)Instruction limit reached!
% 10.01/1.92 % (212025)------------------------------
% 10.01/1.92 % (212025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.92 % (212025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.92 % (212025)CaDiCaL version: 2.1.3
% 10.01/1.92 % (212025)Termination reason: Instruction limit
% 10.01/1.92 % (212025)Termination phase: Saturation
% 10.01/1.92 % (212025)Time elapsed: 0.116 s
% 10.01/1.92 % (212025)Peak memory usage: 12 MB
% 10.01/1.92 % (212025)Instructions burned: 272 (million)
% 10.01/1.92 % (212030)Instruction limit reached!
% 10.01/1.92 % (212030)------------------------------
% 10.01/1.92 % (212030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.92 % (212030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.92 % (212030)CaDiCaL version: 2.1.3
% 10.01/1.92 % (212030)Termination reason: Instruction limit
% 10.01/1.92 % (212030)Termination phase: Saturation
% 10.01/1.99 % (212030)Time elapsed: 0.021 s
% 10.01/1.99 % (212030)Peak memory usage: 12 MB
% 10.01/1.99 % (212030)Instructions burned: 40 (million)
% 10.01/1.99 % (212035)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 10.01/1.99 % (212034)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2780664926:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 10.01/1.99 % (212035)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=3699774474:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 10.01/1.99 % (212034)Instruction limit reached!
% 10.01/1.99 % (212034)------------------------------
% 10.01/1.99 % (212034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.99 % (212034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.99 % (212034)CaDiCaL version: 2.1.3
% 10.01/1.99 % (212034)Termination reason: Instruction limit
% 10.01/1.99 % (212034)Termination phase: Saturation
% 10.01/1.99 % (212034)Time elapsed: 0.074 s
% 10.01/1.99 % (212034)Peak memory usage: 12 MB
% 10.01/1.99 % (212034)Instructions burned: 158 (million)
% 10.01/1.99 % (212022)Instruction limit reached!
% 10.01/1.99 % (212022)------------------------------
% 10.01/1.99 % (212022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.99 % (212022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.99 % (212022)CaDiCaL version: 2.1.3
% 10.01/1.99 % (212022)Termination reason: Instruction limit
% 10.01/1.99 % (212022)Termination phase: Saturation
% 10.01/1.99 % (212022)Time elapsed: 0.236 s
% 10.01/1.99 % (212022)Peak memory usage: 13 MB
% 10.01/1.99 % (212022)Instructions burned: 675 (million)
% 10.01/1.99 % (212038)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1892776724:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 10.01/1.99 % (212038)Refutation not found, incomplete strategy
% 10.01/1.99 % (212038)------------------------------
% 10.01/1.99 % (212038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.99 % (212038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.99 % (212038)CaDiCaL version: 2.1.3
% 10.01/1.99 % (212038)Termination reason: Refutation not found, incomplete strategy
% 10.01/1.99 % (212038)Time elapsed: 0.001 s
% 10.01/1.99 % (212038)Peak memory usage: 11 MB
% 10.01/1.99 % (212038)Instructions burned: 1 (million)
% 10.01/1.99 % (212038)------------------------------
% 10.01/1.99 % (212038)------------------------------
% 10.01/1.99 % (212035)Instruction limit reached!
% 10.01/1.99 % (212035)------------------------------
% 10.01/1.99 % (212035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.99 % (212035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.99 % (212035)CaDiCaL version: 2.1.3
% 10.01/1.99 % (212035)Termination reason: Instruction limit
% 10.01/1.99 % (212035)Termination phase: Saturation
% 10.01/1.99 % (212035)Time elapsed: 0.095 s
% 10.01/1.99 % (212035)Peak memory usage: 13 MB
% 10.01/1.99 % (212035)Instructions burned: 254 (million)
% 10.01/1.99 % (212039)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=3093067556:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 10.01/1.99 % (212039)Refutation not found, incomplete strategy
% 10.01/1.99 % (212039)------------------------------
% 10.01/1.99 % (212039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/1.99 % (212039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/1.99 % (212039)CaDiCaL version: 2.1.3
% 10.01/1.99 % (212039)Termination reason: Refutation not found, incomplete strategy
% 10.01/1.99 % (212039)Time elapsed: 0.001 s
% 10.01/1.99 % (212039)Peak memory usage: 11 MB
% 10.01/1.99 % (212039)Instructions burned: 1 (million)
% 10.01/1.99 % (212039)------------------------------
% 10.01/1.99 % (212039)------------------------------
% 10.01/1.99 % (212042)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 10.01/1.99 % (212041)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1339172423:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/763Mi)
% 12.65/2.05 % (212031)Instruction limit reached!
% 12.65/2.05 % (212031)------------------------------
% 12.65/2.05 % (212031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.65/2.05 % (212031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.05 % (212031)CaDiCaL version: 2.1.3
% 12.65/2.05 % (212031)Termination reason: Instruction limit
% 12.65/2.05 % (212031)Termination phase: Saturation
% 12.65/2.05 % (212042)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=1308575601:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2985 on theBenchmark for (2985ds/237Mi)
% 12.65/2.05 % (212031)Time elapsed: 0.145 s
% 12.65/2.05 % (212031)Peak memory usage: 13 MB
% 12.65/2.05 % (212031)Instructions burned: 365 (million)
% 12.65/2.05 % (212042)Refutation not found, incomplete strategy
% 12.65/2.05 % (212042)------------------------------
% 12.65/2.05 % (212042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.65/2.05 % (212042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.05 % (212042)CaDiCaL version: 2.1.3
% 12.65/2.05 % (212042)Termination reason: Refutation not found, incomplete strategy
% 12.65/2.05 % (212042)Time elapsed: 0.001 s
% 12.65/2.05 % (212042)Peak memory usage: 11 MB
% 12.65/2.05 % (212042)------------------------------
% 12.65/2.05 % (212042)------------------------------
% 12.65/2.05 % (212044)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3876074744:s2a=on:i=386:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/386Mi)
% 12.65/2.05 % (212047)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=191601854:i=300:piset=and:nm=32:rtra=on_2985 on theBenchmark for (2985ds/300Mi)
% 12.65/2.05 % (212049)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1232962747:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 12.65/2.05 % (212049)Refutation not found, incomplete strategy
% 12.65/2.05 % (212049)------------------------------
% 12.65/2.05 % (212049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.65/2.05 % (212049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.05 % (212049)CaDiCaL version: 2.1.3
% 12.65/2.05 % (212049)Termination reason: Refutation not found, incomplete strategy
% 12.65/2.05 % (212049)Time elapsed: 0.001 s
% 12.65/2.05 % (212049)Peak memory usage: 11 MB
% 12.65/2.05 % (212049)Instructions burned: 1 (million)
% 12.65/2.05 % (212049)------------------------------
% 12.65/2.05 % (212049)------------------------------
% 12.65/2.05 % (212052)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3406269213:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 12.65/2.05 % (212052)Refutation not found, incomplete strategy
% 12.65/2.05 % (212052)------------------------------
% 12.65/2.05 % (212052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.65/2.05 % (212052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.05 % (212052)CaDiCaL version: 2.1.3
% 12.65/2.05 % (212052)Termination reason: Refutation not found, incomplete strategy
% 12.65/2.05 % (212052)Time elapsed: 0.001 s
% 12.65/2.05 % (212052)Peak memory usage: 11 MB
% 12.65/2.05 % (212052)Instructions burned: 1 (million)
% 12.65/2.05 % (212052)------------------------------
% 12.65/2.05 % (212052)------------------------------
% 12.65/2.05 % (212054)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1550563153:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.65/2.05 % (212044)Instruction limit reached!
% 12.65/2.05 % (212044)------------------------------
% 12.65/2.05 % (212044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.65/2.05 % (212044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.05 % (212044)CaDiCaL version: 2.1.3
% 12.65/2.05 % (212044)Termination reason: Instruction limit
% 12.65/2.05 % (212044)Termination phase: Saturation
% 12.65/2.05 % (212044)Time elapsed: 0.172 s
% 12.65/2.05 % (212044)Peak memory usage: 12 MB
% 12.65/2.05 % (212044)Instructions burned: 388 (million)
% 12.65/2.05 % (212056)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=4160627672:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 13.25/2.25 % (212056)Refutation not found, incomplete strategy
% 13.25/2.25 % (212056)------------------------------
% 13.25/2.25 % (212056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.25 % (212056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.25 % (212056)CaDiCaL version: 2.1.3
% 13.25/2.25 % (212056)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.25 % (212056)Time elapsed: 0.002 s
% 13.25/2.25 % (212056)Peak memory usage: 12 MB
% 13.25/2.25 % (212056)Instructions burned: 2 (million)
% 13.25/2.25 % (212056)------------------------------
% 13.25/2.25 % (212056)------------------------------
% 13.25/2.25 % (212058)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1837083930:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 13.25/2.25 % (212047)Instruction limit reached!
% 13.25/2.25 % (212047)------------------------------
% 13.25/2.25 % (212047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.25 % (212047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.25 % (212047)CaDiCaL version: 2.1.3
% 13.25/2.25 % (212047)Termination reason: Instruction limit
% 13.25/2.25 % (212047)Termination phase: Saturation
% 13.25/2.25 % (212047)Time elapsed: 0.207 s
% 13.25/2.25 % (212047)Peak memory usage: 12 MB
% 13.25/2.25 % (212047)Instructions burned: 301 (million)
% 13.25/2.25 % (212004)Instruction limit reached!
% 13.25/2.25 % (212004)------------------------------
% 13.25/2.25 % (212004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.25 % (212004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.25 % (212004)CaDiCaL version: 2.1.3
% 13.25/2.25 % (212004)Termination reason: Instruction limit
% 13.25/2.25 % (212004)Termination phase: Saturation
% 13.25/2.25 % (212004)Time elapsed: 0.792 s
% 13.25/2.25 % (212004)Peak memory usage: 14 MB
% 13.25/2.25 % (212004)Instructions burned: 2188 (million)
% 13.25/2.25 % (212060)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1512013612:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 13.25/2.25 % (212041)Instruction limit reached!
% 13.25/2.25 % (212041)------------------------------
% 13.25/2.25 % (212041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.25 % (212041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.25 % (212041)CaDiCaL version: 2.1.3
% 13.25/2.25 % (212041)Termination reason: Instruction limit
% 13.25/2.25 % (212041)Termination phase: Saturation
% 13.25/2.25 % (212041)Time elapsed: 0.248 s
% 13.25/2.25 % (212041)Peak memory usage: 14 MB
% 13.25/2.25 % (212041)Instructions burned: 764 (million)
% 13.25/2.25 % (212061)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2461101233:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 13.25/2.25 % (212061)Refutation not found, incomplete strategy
% 13.25/2.25 % (212061)------------------------------
% 13.25/2.25 % (212061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.25 % (212061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.25 % (212061)CaDiCaL version: 2.1.3
% 13.25/2.25 % (212061)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.25 % (212061)Time elapsed: 0.001 s
% 13.25/2.25 % (212061)Peak memory usage: 11 MB
% 13.25/2.25 % (212061)Instructions burned: 1 (million)
% 13.25/2.25 % (212054)Instruction limit reached!
% 13.25/2.25 % (212054)------------------------------
% 13.25/2.25 % (212054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.25 % (212054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.25 % (212054)CaDiCaL version: 2.1.3
% 13.25/2.25 % (212054)Termination reason: Instruction limit
% 13.25/2.25 % (212054)Termination phase: Saturation
% 13.25/2.25 % (212054)Time elapsed: 0.202 s
% 13.25/2.25 % (212054)Peak memory usage: 12 MB
% 13.25/2.25 % (212054)Instructions burned: 431 (million)
% 13.25/2.25 % (212063)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1044711258:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.25/2.25 % (212061)------------------------------
% 13.25/2.25 % (212061)------------------------------
% 13.25/2.25 % (212063)Refutation not found, incomplete strategy
% 13.25/2.25 % (212063)------------------------------
% 13.25/2.25 % (212063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.32 % (212063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.32 % (212063)CaDiCaL version: 2.1.3
% 13.86/2.32 % (212063)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.32 % (212063)Time elapsed: 0.001 s
% 13.86/2.32 % (212063)Peak memory usage: 11 MB
% 13.86/2.32 % (212063)Instructions burned: 1 (million)
% 13.86/2.32 % (212063)------------------------------
% 13.86/2.32 % (212063)------------------------------
% 13.86/2.32 % (212066)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.86/2.32 % (212066)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.86/2.32 % (212060)Instruction limit reached!
% 13.86/2.32 % (212060)------------------------------
% 13.86/2.32 % (212060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.32 % (212060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.32 % (212060)CaDiCaL version: 2.1.3
% 13.86/2.32 % (212060)Termination reason: Instruction limit
% 13.86/2.32 % (212060)Termination phase: Saturation
% 13.86/2.32 % (212060)Time elapsed: 0.038 s
% 13.86/2.32 % (212060)Peak memory usage: 12 MB
% 13.86/2.32 % (212060)Instructions burned: 72 (million)
% 13.86/2.32 % (212067)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=1591211340:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.86/2.32 % (212066)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=554424770:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.86/2.32 % (212068)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=592086647:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 13.86/2.32 % (212068)Refutation not found, incomplete strategy
% 13.86/2.32 % (212068)------------------------------
% 13.86/2.32 % (212068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.32 % (212068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.32 % (212068)CaDiCaL version: 2.1.3
% 13.86/2.32 % (212068)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.32 % (212068)Time elapsed: 0.001 s
% 13.86/2.32 % (212068)Peak memory usage: 12 MB
% 13.86/2.32 % (212068)Instructions burned: 2 (million)
% 13.86/2.32 % (212068)------------------------------
% 13.86/2.32 % (212068)------------------------------
% 13.86/2.32 % (212070)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=1121782886:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2982 on theBenchmark for (2982ds/493Mi)
% 13.86/2.32 % (212073)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=1935882247:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 13.86/2.32 % (212067)Instruction limit reached!
% 13.86/2.32 % (212067)------------------------------
% 13.86/2.32 % (212067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.32 % (212067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.32 % (212067)CaDiCaL version: 2.1.3
% 13.86/2.32 % (212067)Termination reason: Instruction limit
% 13.86/2.32 % (212067)Termination phase: Saturation
% 13.86/2.32 % (212067)Time elapsed: 0.037 s
% 13.86/2.32 % (212067)Peak memory usage: 12 MB
% 13.86/2.32 % (212067)Instructions burned: 76 (million)
% 13.86/2.32 % (212073)Instruction limit reached!
% 13.86/2.32 % (212073)------------------------------
% 13.86/2.32 % (212073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.32 % (212073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.32 % (212073)CaDiCaL version: 2.1.3
% 13.86/2.32 % (212073)Termination reason: Instruction limit
% 13.86/2.32 % (212073)Termination phase: Saturation
% 13.86/2.32 % (212073)Time elapsed: 0.019 s
% 13.86/2.32 % (212073)Peak memory usage: 12 MB
% 13.86/2.32 % (212073)Instructions burned: 35 (million)
% 13.86/2.32 % (212066)Instruction limit reached!
% 13.86/2.32 % (212066)------------------------------
% 13.86/2.32 % (212066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.39 % (212066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.39 % (212066)CaDiCaL version: 2.1.3
% 13.86/2.39 % (212066)Termination reason: Instruction limit
% 13.86/2.39 % (212066)Termination phase: Saturation
% 13.86/2.39 % (212066)Time elapsed: 0.044 s
% 13.86/2.39 % (212066)Peak memory usage: 12 MB
% 13.86/2.39 % (212066)Instructions burned: 102 (million)
% 13.86/2.39 % (212076)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.86/2.39 % (212076)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=3821214630:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 13.86/2.39 % (212076)Refutation not found, incomplete strategy
% 13.86/2.39 % (212076)------------------------------
% 13.86/2.39 % (212076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.39 % (212076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.39 % (212076)CaDiCaL version: 2.1.3
% 13.86/2.39 % (212076)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.39 % (212076)Time elapsed: 0.002 s
% 13.86/2.39 % (212076)Peak memory usage: 11 MB
% 13.86/2.39 % (212076)Instructions burned: 3 (million)
% 13.86/2.39 % (212076)------------------------------
% 13.86/2.39 % (212076)------------------------------
% 13.86/2.39 % (212077)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1368079546:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 13.86/2.39 % (212078)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3259813797:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/647Mi)
% 13.86/2.39 % (212078)Refutation not found, incomplete strategy
% 13.86/2.39 % (212078)------------------------------
% 13.86/2.39 % (212078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.39 % (212078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.39 % (212078)CaDiCaL version: 2.1.3
% 13.86/2.39 % (212078)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.39 % (212078)Time elapsed: 0.001 s
% 13.86/2.39 % (212078)Peak memory usage: 11 MB
% 13.86/2.39 % (212078)------------------------------
% 13.86/2.39 % (212078)------------------------------
% 13.86/2.39 % (212080)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=2844883708:i=857:add=off:kws=frequency:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/857Mi)
% 13.86/2.39 % (212083)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=749022589:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2981 on theBenchmark for (2981ds/693Mi)
% 13.86/2.39 % (212058)Instruction limit reached!
% 13.86/2.39 % (212058)------------------------------
% 13.86/2.39 % (212058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.39 % (212058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.39 % (212058)CaDiCaL version: 2.1.3
% 13.86/2.39 % (212058)Termination reason: Instruction limit
% 13.86/2.39 % (212058)Termination phase: Saturation
% 13.86/2.39 % (212058)Time elapsed: 0.292 s
% 13.86/2.39 % (212058)Peak memory usage: 14 MB
% 13.86/2.39 % (212058)Instructions burned: 445 (million)
% 13.86/2.39 % (212070)Instruction limit reached!
% 13.86/2.39 % (212070)------------------------------
% 13.86/2.39 % (212070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.39 % (212070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.39 % (212070)CaDiCaL version: 2.1.3
% 13.86/2.39 % (212070)Termination reason: Instruction limit
% 13.86/2.39 % (212070)Termination phase: Saturation
% 13.86/2.39 % (212070)Time elapsed: 0.213 s
% 13.86/2.39 % (212070)Peak memory usage: 12 MB
% 13.86/2.39 % (212070)Instructions burned: 494 (million)
% 13.86/2.39 % (212086)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=4109566968:i=285:hud=10:bd=all:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/285Mi)
% 13.86/2.39 % (212086)Refutation not found, incomplete strategy
% 13.86/2.39 % (212086)------------------------------
% 13.86/2.39 % (212086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.46 % (212086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.46 % (212086)CaDiCaL version: 2.1.3
% 15.07/2.46 % (212086)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.46 % (212086)Time elapsed: 0.001 s
% 15.07/2.46 % (212086)Peak memory usage: 11 MB
% 15.07/2.46 % (212086)Instructions burned: 1 (million)
% 15.07/2.46 % (212087)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.07/2.46 % (212086)------------------------------
% 15.07/2.46 % (212086)------------------------------
% 15.07/2.46 % (212087)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=877565241:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/52Mi)
% 15.07/2.46 % (212089)dis+10_1_si=on:random_seed=2768979878:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2979 on theBenchmark for (2979ds/407Mi)
% 15.07/2.46 % (212089)Refutation not found, incomplete strategy
% 15.07/2.46 % (212089)------------------------------
% 15.07/2.46 % (212089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.46 % (212089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.46 % (212089)CaDiCaL version: 2.1.3
% 15.07/2.46 % (212089)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.46 % (212089)Time elapsed: 0.001 s
% 15.07/2.46 % (212089)Peak memory usage: 11 MB
% 15.07/2.46 % (212089)Instructions burned: 1 (million)
% 15.07/2.46 % (212089)------------------------------
% 15.07/2.46 % (212089)------------------------------
% 15.07/2.46 % (212087)Instruction limit reached!
% 15.07/2.46 % (212087)------------------------------
% 15.07/2.46 % (212087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.46 % (212087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.46 % (212087)CaDiCaL version: 2.1.3
% 15.07/2.46 % (212087)Termination reason: Instruction limit
% 15.07/2.46 % (212087)Termination phase: Saturation
% 15.07/2.46 % (212087)Time elapsed: 0.022 s
% 15.07/2.46 % (212087)Peak memory usage: 12 MB
% 15.07/2.46 % (212087)Instructions burned: 53 (million)
% 15.07/2.46 % (212092)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=1232927884:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/2240Mi)
% 15.07/2.46 % (212093)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=362777074:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/336Mi)
% 15.07/2.46 % (212093)Refutation not found, incomplete strategy
% 15.07/2.46 % (212093)------------------------------
% 15.07/2.46 % (212093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.46 % (212093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.46 % (212093)CaDiCaL version: 2.1.3
% 15.07/2.46 % (212093)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.46 % (212093)Time elapsed: 0.001 s
% 15.07/2.46 % (212093)Peak memory usage: 11 MB
% 15.07/2.46 % (212093)------------------------------
% 15.07/2.46 % (212093)------------------------------
% 15.07/2.46 % (212077)Instruction limit reached!
% 15.07/2.46 % (212077)------------------------------
% 15.07/2.46 % (212077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.46 % (212077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.46 % (212077)CaDiCaL version: 2.1.3
% 15.07/2.46 % (212077)Termination reason: Instruction limit
% 15.07/2.46 % (212077)Termination phase: Saturation
% 15.07/2.46 % (212077)Time elapsed: 0.235 s
% 15.07/2.46 % (212077)Peak memory usage: 12 MB
% 15.07/2.46 % (212077)Instructions burned: 672 (million)
% 15.07/2.46 % (212096)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=953061365:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2979 on theBenchmark for (2979ds/1142Mi)
% 15.07/2.46 % (212097)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1157162607:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/376Mi)
% 15.07/2.46 % (212097)Refutation not found, incomplete strategy
% 15.07/2.46 % (212097)------------------------------
% 15.07/2.46 % (212097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.46 % (212097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.63 % (212097)CaDiCaL version: 2.1.3
% 15.71/2.63 % (212097)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.63 % (212097)Time elapsed: 0.001 s
% 15.71/2.63 % (212097)Peak memory usage: 11 MB
% 15.71/2.63 % (212097)Instructions burned: 1 (million)
% 15.71/2.63 % (212097)------------------------------
% 15.71/2.63 % (212097)------------------------------
% 15.71/2.63 % (212096)Refutation not found, incomplete strategy
% 15.71/2.63 % (212096)------------------------------
% 15.71/2.63 % (212096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.63 % (212096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.63 % (212096)CaDiCaL version: 2.1.3
% 15.71/2.63 % (212096)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.63 % (212096)Time elapsed: 0.008 s
% 15.71/2.63 % (212096)Peak memory usage: 12 MB
% 15.71/2.63 % (212096)Instructions burned: 13 (million)
% 15.71/2.63 % (212096)------------------------------
% 15.71/2.63 % (212096)------------------------------
% 15.71/2.63 % (212100)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2270086369:i=766:bd=all:rtra=on_2979 on theBenchmark for (2979ds/766Mi)
% 15.71/2.63 % (212100)Refutation not found, incomplete strategy
% 15.71/2.63 % (212100)------------------------------
% 15.71/2.63 % (212100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.63 % (212100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.63 % (212100)CaDiCaL version: 2.1.3
% 15.71/2.63 % (212100)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.63 % (212100)Time elapsed: 0.002 s
% 15.71/2.63 % (212100)Peak memory usage: 12 MB
% 15.71/2.63 % (212100)Instructions burned: 2 (million)
% 15.71/2.63 % (212100)------------------------------
% 15.71/2.63 % (212100)------------------------------
% 15.71/2.63 % (212101)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 15.71/2.63 % (212101)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3161847444: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_2979 on theBenchmark for (2979ds/959Mi)
% 15.71/2.63 % (212103)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=940646793:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2978 on theBenchmark for (2978ds/6359Mi)
% 15.71/2.63 % (212101)Refutation not found, incomplete strategy
% 15.71/2.63 % (212101)------------------------------
% 15.71/2.63 % (212101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.63 % (212101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.63 % (212101)CaDiCaL version: 2.1.3
% 15.71/2.63 % (212101)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.63 % (212101)Time elapsed: 0.001 s
% 15.71/2.63 % (212101)Peak memory usage: 11 MB
% 15.71/2.63 % (212101)------------------------------
% 15.71/2.63 % (212101)------------------------------
% 15.71/2.63 % (212083)Instruction limit reached!
% 15.71/2.63 % (212083)------------------------------
% 15.71/2.63 % (212083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.63 % (212083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.63 % (212083)CaDiCaL version: 2.1.3
% 15.71/2.63 % (212083)Termination reason: Instruction limit
% 15.71/2.63 % (212083)Termination phase: Saturation
% 15.71/2.63 % (212083)Time elapsed: 0.276 s
% 15.71/2.63 % (212083)Peak memory usage: 13 MB
% 15.71/2.63 % (212083)Instructions burned: 694 (million)
% 15.71/2.63 % (212080)Instruction limit reached!
% 15.71/2.63 % (212080)------------------------------
% 15.71/2.63 % (212080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.63 % (212080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.63 % (212080)CaDiCaL version: 2.1.3
% 15.71/2.63 % (212080)Termination reason: Instruction limit
% 15.71/2.63 % (212080)Termination phase: Saturation
% 15.71/2.63 % (212080)Time elapsed: 0.299 s
% 15.71/2.63 % (212080)Peak memory usage: 13 MB
% 15.71/2.63 % (212080)Instructions burned: 860 (million)
% 15.71/2.63 % (212106)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3039764746:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2978 on theBenchmark for (2978ds/35Mi)
% 15.98/2.72 % (212106)Refutation not found, incomplete strategy
% 15.98/2.72 % (212106)------------------------------
% 15.98/2.72 % (212106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/2.72 % (212106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/2.72 % (212106)CaDiCaL version: 2.1.3
% 15.98/2.72 % (212106)Termination reason: Refutation not found, incomplete strategy
% 15.98/2.72 % (212106)Time elapsed: 0.001 s
% 15.98/2.72 % (212106)Peak memory usage: 11 MB
% 15.98/2.72 % (212106)------------------------------
% 15.98/2.72 % (212106)------------------------------
% 15.98/2.72 % (212107)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1991403528:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/53Mi)
% 15.98/2.72 % (212108)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3814784079:s2a=on:i=876:s2at=6:nm=2:rtra=on_2978 on theBenchmark for (2978ds/876Mi)
% 15.98/2.72 % (212110)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1371103612:i=57:ep=R:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/57Mi)
% 15.98/2.72 % (212107)Instruction limit reached!
% 15.98/2.72 % (212107)------------------------------
% 15.98/2.72 % (212107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/2.72 % (212107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/2.72 % (212107)CaDiCaL version: 2.1.3
% 15.98/2.72 % (212107)Termination reason: Instruction limit
% 15.98/2.72 % (212107)Termination phase: Saturation
% 15.98/2.72 % (212107)Time elapsed: 0.031 s
% 15.98/2.72 % (212107)Peak memory usage: 12 MB
% 15.98/2.72 % (212107)Instructions burned: 55 (million)
% 15.98/2.72 % (212110)Instruction limit reached!
% 15.98/2.72 % (212110)------------------------------
% 15.98/2.72 % (212110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/2.72 % (212110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/2.72 % (212110)CaDiCaL version: 2.1.3
% 15.98/2.72 % (212110)Termination reason: Instruction limit
% 15.98/2.72 % (212110)Termination phase: Saturation
% 15.98/2.72 % (212110)Time elapsed: 0.027 s
% 15.98/2.72 % (212110)Peak memory usage: 12 MB
% 15.98/2.72 % (212110)Instructions burned: 59 (million)
% 15.98/2.72 % (212114)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 15.98/2.72 % (212114)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3786196716:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 15.98/2.72 % (212114)Refutation not found, incomplete strategy
% 15.98/2.72 % (212114)------------------------------
% 15.98/2.72 % (212114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/2.72 % (212114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/2.72 % (212114)CaDiCaL version: 2.1.3
% 15.98/2.72 % (212114)Termination reason: Refutation not found, incomplete strategy
% 15.98/2.72 % (212114)Time elapsed: 0.002 s
% 15.98/2.72 % (212114)Peak memory usage: 12 MB
% 15.98/2.72 % (212114)Instructions burned: 2 (million)
% 15.98/2.72 % (212114)------------------------------
% 15.98/2.72 % (212114)------------------------------
% 15.98/2.72 % (212115)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2496722304:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/262Mi)
% 15.98/2.72 % (212115)Refutation not found, incomplete strategy
% 15.98/2.72 % (212115)------------------------------
% 15.98/2.72 % (212115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/2.72 % (212115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/2.72 % (212115)CaDiCaL version: 2.1.3
% 15.98/2.72 % (212115)Termination reason: Refutation not found, incomplete strategy
% 15.98/2.72 % (212115)Time elapsed: 0.001 s
% 15.98/2.72 % (212115)Peak memory usage: 12 MB
% 15.98/2.72 % (212115)Instructions burned: 1 (million)
% 15.98/2.72 % (212115)------------------------------
% 15.98/2.72 % (212115)------------------------------
% 15.98/2.72 % (212117)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 15.98/2.72 % (212117)ott+1002_16_sil=128000:si=on:random_seed=80914651:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2977 on theBenchmark for (2977ds/409Mi)
% 16.98/2.82 % (212119)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3590575900:s2a=on:i=381:rtra=on_2977 on theBenchmark for (2977ds/381Mi)
% 16.98/2.82 % (211954)Instruction limit reached!
% 16.98/2.82 % (211954)------------------------------
% 16.98/2.82 % (211954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.82 % (211954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.82 % (211954)CaDiCaL version: 2.1.3
% 16.98/2.82 % (211954)Termination reason: Instruction limit
% 16.98/2.82 % (211954)Termination phase: Saturation
% 16.98/2.82 % (211954)Time elapsed: 1.695 s
% 16.98/2.82 % (211954)Peak memory usage: 16 MB
% 16.98/2.82 % (211954)Instructions burned: 9844 (million)
% 16.98/2.82 % (212122)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2077238559:cond=on:i=324:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/324Mi)
% 16.98/2.82 % (212020)Instruction limit reached!
% 16.98/2.82 % (212020)------------------------------
% 16.98/2.82 % (212020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.82 % (212020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.82 % (212020)CaDiCaL version: 2.1.3
% 16.98/2.82 % (212020)Termination reason: Instruction limit
% 16.98/2.82 % (212020)Termination phase: Saturation
% 16.98/2.82 % (212020)Time elapsed: 1.160 s
% 16.98/2.82 % (212020)Peak memory usage: 17 MB
% 16.98/2.82 % (212020)Instructions burned: 2471 (million)
% 16.98/2.82 % (212119)Instruction limit reached!
% 16.98/2.82 % (212119)------------------------------
% 16.98/2.82 % (212119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.82 % (212119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.82 % (212119)CaDiCaL version: 2.1.3
% 16.98/2.82 % (212119)Termination reason: Instruction limit
% 16.98/2.82 % (212119)Termination phase: Saturation
% 16.98/2.82 % (212119)Time elapsed: 0.118 s
% 16.98/2.82 % (212119)Peak memory usage: 12 MB
% 16.98/2.82 % (212119)Instructions burned: 383 (million)
% 16.98/2.82 % (212125)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.98/2.82 % (212125)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3025905726:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 16.98/2.82 % (212124)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3094431914:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 16.98/2.82 % (212124)Refutation not found, incomplete strategy
% 16.98/2.82 % (212124)------------------------------
% 16.98/2.82 % (212124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.82 % (212124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.82 % (212124)CaDiCaL version: 2.1.3
% 16.98/2.82 % (212124)Termination reason: Refutation not found, incomplete strategy
% 16.98/2.82 % (212124)Time elapsed: 0.001 s
% 16.98/2.82 % (212124)Peak memory usage: 12 MB
% 16.98/2.82 % (212124)Instructions burned: 1 (million)
% 16.98/2.82 % (212124)------------------------------
% 16.98/2.82 % (212124)------------------------------
% 16.98/2.82 % (212117)Instruction limit reached!
% 16.98/2.82 % (212117)------------------------------
% 16.98/2.82 % (212117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.82 % (212117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.82 % (212117)CaDiCaL version: 2.1.3
% 16.98/2.82 % (212117)Termination reason: Instruction limit
% 16.98/2.82 % (212117)Termination phase: Saturation
% 16.98/2.82 % (212117)Time elapsed: 0.158 s
% 16.98/2.82 % (212117)Peak memory usage: 13 MB
% 16.98/2.82 % (212117)Instructions burned: 411 (million)
% 16.98/2.82 % (212128)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=997317958:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 16.98/2.82 % (212125)Instruction limit reached!
% 16.98/2.82 % (212125)------------------------------
% 16.98/2.82 % (212125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.82 % (212125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.82 % (212125)CaDiCaL version: 2.1.3
% 16.98/2.82 % (212125)Termination reason: Instruction limit
% 16.98/2.82 % (212125)Termination phase: Saturation
% 16.98/2.82 % (212125)Time elapsed: 0.025 s
% 16.98/2.82 % (212125)Peak memory usage: 12 MB
% 17.09/2.96 % (212125)Instructions burned: 129 (million)
% 17.09/2.96 % (212131)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=719939094:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/464Mi)
% 17.09/2.96 % (212131)Refutation not found, incomplete strategy
% 17.09/2.96 % (212131)------------------------------
% 17.09/2.96 % (212131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.09/2.96 % (212131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/2.96 % (212131)CaDiCaL version: 2.1.3
% 17.09/2.96 % (212131)Termination reason: Refutation not found, incomplete strategy
% 17.09/2.96 % (212131)Time elapsed: 0.0000 s
% 17.09/2.96 % (212131)Peak memory usage: 11 MB
% 17.09/2.96 % (212131)Instructions burned: 1 (million)
% 17.09/2.96 % (212129)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2779887458:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2976 on theBenchmark for (2976ds/282Mi)
% 17.09/2.96 % (212131)------------------------------
% 17.09/2.96 % (212131)------------------------------
% 17.09/2.96 % (212134)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=3441989592:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 17.09/2.96 % (212134)Instruction limit reached!
% 17.09/2.96 % (212134)------------------------------
% 17.09/2.96 % (212134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.09/2.96 % (212134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/2.96 % (212134)CaDiCaL version: 2.1.3
% 17.09/2.96 % (212134)Termination reason: Instruction limit
% 17.09/2.96 % (212134)Termination phase: Saturation
% 17.09/2.96 % (212134)Time elapsed: 0.020 s
% 17.09/2.96 % (212134)Peak memory usage: 13 MB
% 17.09/2.96 % (212134)Instructions burned: 89 (million)
% 17.09/2.96 % (212136)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1036701859:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 17.09/2.96 % (212122)Instruction limit reached!
% 17.09/2.96 % (212122)------------------------------
% 17.09/2.96 % (212122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.09/2.96 % (212122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/2.96 % (212122)CaDiCaL version: 2.1.3
% 17.09/2.96 % (212122)Termination reason: Instruction limit
% 17.09/2.96 % (212122)Termination phase: Saturation
% 17.09/2.96 % (212122)Time elapsed: 0.142 s
% 17.09/2.96 % (212122)Peak memory usage: 12 MB
% 17.09/2.96 % (212122)Instructions burned: 325 (million)
% 17.09/2.96 % (212128)Instruction limit reached!
% 17.09/2.96 % (212128)------------------------------
% 17.09/2.96 % (212128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.09/2.96 % (212128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/2.96 % (212128)CaDiCaL version: 2.1.3
% 17.09/2.96 % (212128)Termination reason: Instruction limit
% 17.09/2.96 % (212128)Termination phase: Saturation
% 17.09/2.96 % (212128)Time elapsed: 0.077 s
% 17.09/2.96 % (212128)Peak memory usage: 13 MB
% 17.09/2.96 % (212128)Instructions burned: 224 (million)
% 17.09/2.96 % (212138)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.09/2.96 % (212139)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 17.09/2.96 % (212139)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 17.09/2.96 % (212138)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3114552287:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 17.09/2.96 % (212139)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=93160824:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2975 on theBenchmark for (2975ds/483Mi)
% 17.09/2.96 % (212139)Refutation not found, incomplete strategy
% 17.09/2.96 % (212139)------------------------------
% 17.09/2.96 % (212139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.09/2.96 % (212139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.21 % (212139)CaDiCaL version: 2.1.3
% 20.62/3.21 % (212139)Termination reason: Refutation not found, incomplete strategy
% 20.62/3.21 % (212139)Time elapsed: 0.001 s
% 20.62/3.21 % (212139)Peak memory usage: 12 MB
% 20.62/3.21 % (212139)Instructions burned: 1 (million)
% 20.62/3.21 % (212139)------------------------------
% 20.62/3.21 % (212139)------------------------------
% 20.62/3.21 % (212142)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3714426381:i=73:rtra=on_2975 on theBenchmark for (2975ds/73Mi)
% 20.62/3.21 % (212142)Refutation not found, incomplete strategy
% 20.62/3.21 % (212142)------------------------------
% 20.62/3.21 % (212142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/3.21 % (212142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.21 % (212142)CaDiCaL version: 2.1.3
% 20.62/3.21 % (212142)Termination reason: Refutation not found, incomplete strategy
% 20.62/3.21 % (212142)Time elapsed: 0.002 s
% 20.62/3.21 % (212142)Peak memory usage: 12 MB
% 20.62/3.21 % (212142)Instructions burned: 2 (million)
% 20.62/3.21 % (212142)------------------------------
% 20.62/3.21 % (212142)------------------------------
% 20.62/3.21 % (212136)Instruction limit reached!
% 20.62/3.21 % (212136)------------------------------
% 20.62/3.21 % (212136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/3.21 % (212136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.21 % (212136)CaDiCaL version: 2.1.3
% 20.62/3.21 % (212136)Termination reason: Instruction limit
% 20.62/3.21 % (212136)Termination phase: Saturation
% 20.62/3.21 % (212136)Time elapsed: 0.067 s
% 20.62/3.21 % (212136)Peak memory usage: 12 MB
% 20.62/3.21 % (212136)Instructions burned: 280 (million)
% 20.62/3.21 % (212145)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.62/3.21 % (212145)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3036866709:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 20.62/3.21 % (212144)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2564757290:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2974 on theBenchmark for (2974ds/176Mi)
% 20.62/3.21 % (212145)Instruction limit reached!
% 20.62/3.21 % (212145)------------------------------
% 20.62/3.21 % (212145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/3.21 % (212145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.21 % (212145)CaDiCaL version: 2.1.3
% 20.62/3.21 % (212145)Termination reason: Instruction limit
% 20.62/3.21 % (212145)Termination phase: Saturation
% 20.62/3.21 % (212145)Time elapsed: 0.011 s
% 20.62/3.21 % (212145)Peak memory usage: 12 MB
% 20.62/3.21 % (212145)Instructions burned: 41 (million)
% 20.62/3.21 % (212148)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4139364046:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 20.62/3.21 % (212129)Instruction limit reached!
% 20.62/3.21 % (212129)------------------------------
% 20.62/3.21 % (212129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/3.21 % (212129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.21 % (212129)CaDiCaL version: 2.1.3
% 20.62/3.21 % (212129)Termination reason: Instruction limit
% 20.62/3.21 % (212129)Termination phase: Saturation
% 20.62/3.21 % (212129)Time elapsed: 0.147 s
% 20.62/3.21 % (212129)Peak memory usage: 13 MB
% 20.62/3.21 % (212129)Instructions burned: 283 (million)
% 20.62/3.21 % (212108)Instruction limit reached!
% 20.62/3.21 % (212108)------------------------------
% 20.62/3.21 % (212108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/3.21 % (212108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.21 % (212108)CaDiCaL version: 2.1.3
% 20.62/3.21 % (212108)Termination reason: Instruction limit
% 20.62/3.21 % (212108)Termination phase: Saturation
% 20.62/3.21 % (212108)Time elapsed: 0.387 s
% 20.62/3.21 % (212108)Peak memory usage: 13 MB
% 20.62/3.21 % (212108)Instructions burned: 878 (million)
% 20.62/3.21 % (212151)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=942432273:i=823:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/823Mi)
% 20.62/3.21 % (212150)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
% 21.13/3.31 % (212150)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=902005682:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 21.13/3.31 % (212144)Instruction limit reached!
% 21.13/3.31 % (212144)------------------------------
% 21.13/3.31 % (212144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.31 % (212144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.31 % (212144)CaDiCaL version: 2.1.3
% 21.13/3.31 % (212144)Termination reason: Instruction limit
% 21.13/3.31 % (212144)Termination phase: Saturation
% 21.13/3.31 % (212144)Time elapsed: 0.080 s
% 21.13/3.31 % (212144)Peak memory usage: 12 MB
% 21.13/3.31 % (212144)Instructions burned: 177 (million)
% 21.13/3.31 % (212154)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 21.13/3.31 % (212154)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1909395684:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/16202Mi)
% 21.13/3.31 % (212154)Refutation not found, incomplete strategy
% 21.13/3.31 % (212154)------------------------------
% 21.13/3.31 % (212154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.31 % (212154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.31 % (212154)CaDiCaL version: 2.1.3
% 21.13/3.31 % (212154)Termination reason: Refutation not found, incomplete strategy
% 21.13/3.31 % (212154)Time elapsed: 0.001 s
% 21.13/3.31 % (212154)Peak memory usage: 11 MB
% 21.13/3.31 % (212154)Instructions burned: 1 (million)
% 21.13/3.31 % (212154)------------------------------
% 21.13/3.31 % (212154)------------------------------
% 21.13/3.31 % (212156)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=679670073:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/300Mi)
% 21.13/3.31 % (212148)Instruction limit reached!
% 21.13/3.31 % (212148)------------------------------
% 21.13/3.31 % (212148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.31 % (212148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.31 % (212148)CaDiCaL version: 2.1.3
% 21.13/3.31 % (212148)Termination reason: Instruction limit
% 21.13/3.31 % (212148)Termination phase: Saturation
% 21.13/3.31 % (212148)Time elapsed: 0.132 s
% 21.13/3.31 % (212148)Peak memory usage: 13 MB
% 21.13/3.31 % (212148)Instructions burned: 712 (million)
% 21.13/3.31 % (212158)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 21.13/3.31 % (212158)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 21.13/3.31 % (212158)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1462516123:i=177:add=on:bd=preordered:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/177Mi)
% 21.13/3.31 % (212150)Instruction limit reached!
% 21.13/3.31 % (212150)------------------------------
% 21.13/3.31 % (212150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.31 % (212150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.31 % (212150)CaDiCaL version: 2.1.3
% 21.13/3.31 % (212150)Termination reason: Instruction limit
% 21.13/3.31 % (212150)Termination phase: Saturation
% 21.13/3.31 % (212150)Time elapsed: 0.114 s
% 21.13/3.31 % (212150)Peak memory usage: 13 MB
% 21.13/3.31 % (212150)Instructions burned: 253 (million)
% 21.13/3.31 % (212160)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=4243928274:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/715Mi)
% 21.13/3.31 % (212160)Refutation not found, incomplete strategy
% 21.13/3.31 % (212160)------------------------------
% 21.13/3.31 % (212160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.31 % (212160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.31 % (212160)CaDiCaL version: 2.1.3
% 21.13/3.31 % (212160)Termination reason: Refutation not found, incomplete strategy
% 21.13/3.31 % (212160)Time elapsed: 0.001 s
% 21.13/3.31 % (212160)Peak memory usage: 11 MB
% 21.13/3.31 % (212160)Instructions burned: 1 (million)
% 21.13/3.31 % (212160)------------------------------
% 21.73/3.46 % (212160)------------------------------
% 21.73/3.46 % (212158)Instruction limit reached!
% 21.73/3.46 % (212158)------------------------------
% 21.73/3.46 % (212158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.73/3.46 % (212158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.73/3.46 % (212158)CaDiCaL version: 2.1.3
% 21.73/3.46 % (212158)Termination reason: Instruction limit
% 21.73/3.46 % (212158)Termination phase: Saturation
% 21.73/3.46 % (212158)Time elapsed: 0.044 s
% 21.73/3.46 % (212158)Peak memory usage: 13 MB
% 21.73/3.46 % (212158)Instructions burned: 181 (million)
% 21.73/3.46 % (212162)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.73/3.46 % (212162)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.73/3.46 % (212162)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=1803010620:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2972 on theBenchmark for (2972ds/230Mi)
% 21.73/3.46 % (212162)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.73/3.46 % (212163)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1088392500:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2972 on theBenchmark for (2972ds/606Mi)
% 21.73/3.46 % (212156)Instruction limit reached!
% 21.73/3.46 % (212156)------------------------------
% 21.73/3.46 % (212156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.73/3.46 % (212156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.73/3.46 % (212156)CaDiCaL version: 2.1.3
% 21.73/3.46 % (212156)Termination reason: Instruction limit
% 21.73/3.46 % (212156)Termination phase: Saturation
% 21.73/3.46 % (212156)Time elapsed: 0.131 s
% 21.73/3.46 % (212156)Peak memory usage: 12 MB
% 21.73/3.46 % (212156)Instructions burned: 302 (million)
% 21.73/3.46 % (212166)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.73/3.46 % (212166)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3872939793:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 21.73/3.46 % (212162)Instruction limit reached!
% 21.73/3.46 % (212162)------------------------------
% 21.73/3.46 % (212162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.73/3.46 % (212162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.73/3.46 % (212162)CaDiCaL version: 2.1.3
% 21.73/3.46 % (212162)Termination reason: Instruction limit
% 21.73/3.46 % (212162)Termination phase: Saturation
% 21.73/3.46 % (212162)Time elapsed: 0.106 s
% 21.73/3.46 % (212162)Peak memory usage: 12 MB
% 21.73/3.46 % (212162)Instructions burned: 230 (million)
% 21.73/3.46 % (212168)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1912388929:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 21.73/3.46 % (212151)Instruction limit reached!
% 21.73/3.46 % (212151)------------------------------
% 21.73/3.46 % (212151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.73/3.46 % (212151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.73/3.46 % (212151)CaDiCaL version: 2.1.3
% 21.73/3.46 % (212151)Termination reason: Instruction limit
% 21.73/3.46 % (212151)Termination phase: Saturation
% 21.73/3.46 % (212151)Time elapsed: 0.342 s
% 21.73/3.46 % (212151)Peak memory usage: 13 MB
% 21.73/3.46 % (212151)Instructions burned: 825 (million)
% 21.73/3.46 % (212170)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2871536171:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 21.73/3.46 % (212170)Instruction limit reached!
% 21.73/3.46 % (212170)------------------------------
% 21.73/3.46 % (212170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.73/3.46 % (212170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.73/3.46 % (212170)CaDiCaL version: 2.1.3
% 21.73/3.46 % (212170)Termination reason: Instruction limit
% 21.73/3.46 % (212170)Termination phase: Saturation
% 21.73/3.46 % (212170)Time elapsed: 0.037 s
% 21.73/3.46 % (212170)Peak memory usage: 12 MB
% 22.72/3.51 % (212170)Instructions burned: 72 (million)
% 22.72/3.51 % (212172)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
% 22.72/3.51 % (212172)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.72/3.51 % (212172)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1019359774:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 22.72/3.51 % (212163)Instruction limit reached!
% 22.72/3.51 % (212163)------------------------------
% 22.72/3.51 % (212163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.72/3.51 % (212163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/3.51 % (212163)CaDiCaL version: 2.1.3
% 22.72/3.51 % (212163)Termination reason: Instruction limit
% 22.72/3.51 % (212163)Termination phase: Saturation
% 22.72/3.51 % (212163)Time elapsed: 0.261 s
% 22.72/3.51 % (212163)Peak memory usage: 12 MB
% 22.72/3.51 % (212163)Instructions burned: 608 (million)
% 22.72/3.51 % (212174)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 22.72/3.51 % (212174)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=4284749472:i=1352:add=on:aac=none:rtra=on_2969 on theBenchmark for (2969ds/1352Mi)
% 22.72/3.51 % (212174)Refutation not found, incomplete strategy
% 22.72/3.51 % (212174)------------------------------
% 22.72/3.51 % (212174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.72/3.51 % (212174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/3.51 % (212174)CaDiCaL version: 2.1.3
% 22.72/3.51 % (212174)Termination reason: Refutation not found, incomplete strategy
% 22.72/3.51 % (212174)Time elapsed: 0.002 s
% 22.72/3.51 % (212174)Peak memory usage: 12 MB
% 22.72/3.51 % (212174)Instructions burned: 3 (million)
% 22.72/3.51 % (212174)------------------------------
% 22.72/3.51 % (212174)------------------------------
% 22.72/3.51 % (212172)Instruction limit reached!
% 22.72/3.51 % (212172)------------------------------
% 22.72/3.51 % (212172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.72/3.51 % (212172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/3.51 % (212172)CaDiCaL version: 2.1.3
% 22.72/3.51 % (212172)Termination reason: Instruction limit
% 22.72/3.51 % (212172)Termination phase: Saturation
% 22.72/3.51 % (212172)Time elapsed: 0.043 s
% 22.72/3.51 % (212172)Peak memory usage: 12 MB
% 22.72/3.51 % (212172)Instructions burned: 102 (million)
% 22.72/3.51 % (212176)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=3104323287:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2969 on theBenchmark for (2969ds/646Mi)
% 22.72/3.51 % (212177)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1111979573:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/1924Mi)
% 22.72/3.51 % (212177)Refutation not found, incomplete strategy
% 22.72/3.51 % (212177)------------------------------
% 22.72/3.51 % (212177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.72/3.51 % (212177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/3.51 % (212177)CaDiCaL version: 2.1.3
% 22.72/3.51 % (212177)Termination reason: Refutation not found, incomplete strategy
% 22.72/3.51 % (212177)Time elapsed: 0.001 s
% 22.72/3.51 % (212177)Peak memory usage: 11 MB
% 22.72/3.51 % (212177)------------------------------
% 22.72/3.51 % (212177)------------------------------
% 22.72/3.51 % (212180)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3383135586:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/984Mi)
% 22.72/3.51 % (212180)Refutation not found, incomplete strategy
% 22.72/3.51 % (212180)------------------------------
% 22.72/3.51 % (212180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.72/3.51 % (212180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/3.51 % (212180)CaDiCaL version: 2.1.3
% 23.05/3.62 % (212180)Termination reason: Refutation not found, incomplete strategy
% 23.05/3.62 % (212180)Time elapsed: 0.002 s
% 23.05/3.62 % (212180)Peak memory usage: 12 MB
% 23.05/3.62 % (212180)Instructions burned: 2 (million)
% 23.05/3.62 % (212180)------------------------------
% 23.05/3.62 % (212180)------------------------------
% 23.05/3.62 % (212168)Instruction limit reached!
% 23.05/3.62 % (212168)------------------------------
% 23.05/3.62 % (212168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.62 % (212168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.62 % (212168)CaDiCaL version: 2.1.3
% 23.05/3.62 % (212168)Termination reason: Instruction limit
% 23.05/3.62 % (212168)Termination phase: Saturation
% 23.05/3.62 % (212168)Time elapsed: 0.224 s
% 23.05/3.62 % (212168)Peak memory usage: 14 MB
% 23.05/3.62 % (212168)Instructions burned: 446 (million)
% 23.05/3.62 % (212182)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1469448212:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2969 on theBenchmark for (2969ds/592Mi)
% 23.05/3.62 % (212183)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=858488007:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 23.05/3.62 % (212183)Refutation not found, incomplete strategy
% 23.05/3.62 % (212183)------------------------------
% 23.05/3.62 % (212183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.62 % (212183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.62 % (212183)CaDiCaL version: 2.1.3
% 23.05/3.62 % (212183)Termination reason: Refutation not found, incomplete strategy
% 23.05/3.62 % (212183)Time elapsed: 0.001 s
% 23.05/3.62 % (212183)Peak memory usage: 11 MB
% 23.05/3.62 % (212183)Instructions burned: 1 (million)
% 23.05/3.62 % (212183)------------------------------
% 23.05/3.62 % (212183)------------------------------
% 23.05/3.62 % (212186)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 23.05/3.62 % (212186)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=2994958107:i=999:add=on:rtra=on_2968 on theBenchmark for (2968ds/999Mi)
% 23.05/3.62 % (212166)Instruction limit reached!
% 23.05/3.62 % (212166)------------------------------
% 23.05/3.62 % (212166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.62 % (212166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.62 % (212166)CaDiCaL version: 2.1.3
% 23.05/3.62 % (212166)Termination reason: Instruction limit
% 23.05/3.62 % (212166)Termination phase: Saturation
% 23.05/3.62 % (212166)Time elapsed: 0.382 s
% 23.05/3.62 % (212166)Peak memory usage: 13 MB
% 23.05/3.62 % (212166)Instructions burned: 842 (million)
% 23.05/3.62 % (212188)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 23.05/3.62 % (212188)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=3377069939:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2968 on theBenchmark for (2968ds/244Mi)
% 23.05/3.62 % (212188)Refutation not found, incomplete strategy
% 23.05/3.62 % (212188)------------------------------
% 23.05/3.62 % (212188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.62 % (212188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.62 % (212188)CaDiCaL version: 2.1.3
% 23.05/3.62 % (212188)Termination reason: Refutation not found, incomplete strategy
% 23.05/3.62 % (212188)Time elapsed: 0.002 s
% 23.05/3.62 % (212188)Peak memory usage: 11 MB
% 23.05/3.62 % (212188)Instructions burned: 3 (million)
% 23.05/3.62 % (212188)------------------------------
% 23.05/3.62 % (212188)------------------------------
% 23.05/3.62 % (212092)Instruction limit reached!
% 23.05/3.62 % (212092)------------------------------
% 23.05/3.62 % (212092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.62 % (212092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.62 % (212092)CaDiCaL version: 2.1.3
% 23.05/3.62 % (212092)Termination reason: Instruction limit
% 23.05/3.62 % (212092)Termination phase: Saturation
% 23.05/3.62 % (212092)Time elapsed: 1.164 s
% 23.05/3.62 % (212092)Peak memory usage: 17 MB
% 23.05/3.62 % (212092)Instructions burned: 2241 (million)
% 24.40/3.81 % (212190)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=27647970:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/113Mi)
% 24.40/3.81 % (212190)Refutation not found, incomplete strategy
% 24.40/3.81 % (212190)------------------------------
% 24.40/3.81 % (212190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.40/3.81 % (212190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/3.81 % (212190)CaDiCaL version: 2.1.3
% 24.40/3.81 % (212190)Termination reason: Refutation not found, incomplete strategy
% 24.40/3.81 % (212190)Time elapsed: 0.002 s
% 24.40/3.81 % (212190)Peak memory usage: 12 MB
% 24.40/3.81 % (212190)Instructions burned: 2 (million)
% 24.40/3.81 % (212190)------------------------------
% 24.40/3.81 % (212190)------------------------------
% 24.40/3.81 % (212191)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2256854252:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/7795Mi)
% 24.40/3.81 % (212191)Refutation not found, incomplete strategy
% 24.40/3.81 % (212191)------------------------------
% 24.40/3.81 % (212191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.40/3.81 % (212191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/3.81 % (212191)CaDiCaL version: 2.1.3
% 24.40/3.81 % (212191)Termination reason: Refutation not found, incomplete strategy
% 24.40/3.81 % (212191)Time elapsed: 0.001 s
% 24.40/3.81 % (212191)Peak memory usage: 11 MB
% 24.40/3.81 % (212191)------------------------------
% 24.40/3.81 % (212191)------------------------------
% 24.40/3.81 % (212176)Instruction limit reached!
% 24.40/3.81 % (212176)------------------------------
% 24.40/3.81 % (212176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.40/3.81 % (212176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/3.81 % (212176)CaDiCaL version: 2.1.3
% 24.40/3.81 % (212176)Termination reason: Instruction limit
% 24.40/3.81 % (212176)Termination phase: Saturation
% 24.40/3.81 % (212176)Time elapsed: 0.206 s
% 24.40/3.81 % (212176)Peak memory usage: 14 MB
% 24.40/3.81 % (212176)Instructions burned: 646 (million)
% 24.40/3.81 % (212195)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 24.40/3.81 % (212193)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3452647721:st=2:i=5026:sd=1:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/5026Mi)
% 24.40/3.81 % (212193)Refutation not found, incomplete strategy
% 24.40/3.81 % (212193)------------------------------
% 24.40/3.81 % (212193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.40/3.81 % (212193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/3.81 % (212193)CaDiCaL version: 2.1.3
% 24.40/3.81 % (212193)Termination reason: Refutation not found, incomplete strategy
% 24.40/3.81 % (212193)Time elapsed: 0.001 s
% 24.40/3.81 % (212193)Peak memory usage: 11 MB
% 24.40/3.81 % (212193)------------------------------
% 24.40/3.81 % (212193)------------------------------
% 24.40/3.81 % (212195)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=834281051:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2967 on theBenchmark for (2967ds/763Mi)
% 24.40/3.81 % (212195)Refutation not found, incomplete strategy
% 24.40/3.81 % (212195)------------------------------
% 24.40/3.81 % (212195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.40/3.81 % (212195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/3.81 % (212195)CaDiCaL version: 2.1.3
% 24.40/3.81 % (212195)Termination reason: Refutation not found, incomplete strategy
% 24.40/3.81 % (212195)Time elapsed: 0.001 s
% 24.40/3.81 % (212195)Peak memory usage: 11 MB
% 24.40/3.81 % (212195)Instructions burned: 1 (million)
% 24.40/3.81 % (212195)------------------------------
% 24.40/3.81 % (212195)------------------------------
% 24.40/3.81 % (212199)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 24.40/3.81 % (212196)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3965478348:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/1144Mi)
% 24.40/3.81 % (212196)Refutation not found, incomplete strategy
% 24.40/3.81 % (212196)------------------------------
% 24.40/3.81 % (212196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212196)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212196)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212196)Time elapsed: 0.001 s
% 24.85/4.05 % (212196)Peak memory usage: 11 MB
% 24.85/4.05 % (212196)------------------------------
% 24.85/4.05 % (212196)------------------------------
% 24.85/4.05 % (212199)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=4178689096:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2967 on theBenchmark for (2967ds/52Mi)
% 24.85/4.05 % (212200)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=719823684:i=1724:fsr=off:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/1724Mi)
% 24.85/4.05 % (212202)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=4282656318:i=439:add=on:slsql=off:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/439Mi)
% 24.85/4.05 % (212199)Instruction limit reached!
% 24.85/4.05 % (212199)------------------------------
% 24.85/4.05 % (212199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212199)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212199)Termination reason: Instruction limit
% 24.85/4.05 % (212199)Termination phase: Saturation
% 24.85/4.05 % (212199)Time elapsed: 0.020 s
% 24.85/4.05 % (212199)Peak memory usage: 12 MB
% 24.85/4.05 % (212199)Instructions burned: 52 (million)
% 24.85/4.05 % (212206)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=668892602:i=6395:sd=1:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/6395Mi)
% 24.85/4.05 % (212206)Refutation not found, incomplete strategy
% 24.85/4.05 % (212206)------------------------------
% 24.85/4.05 % (212206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212206)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212206)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212206)Time elapsed: 0.001 s
% 24.85/4.05 % (212206)Peak memory usage: 11 MB
% 24.85/4.05 % (212206)Instructions burned: 1 (million)
% 24.85/4.05 % (212206)------------------------------
% 24.85/4.05 % (212206)------------------------------
% 24.85/4.05 % (212208)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 24.85/4.05 % (212208)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3035903946:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/6762Mi)
% 24.85/4.05 % (212208)Refutation not found, incomplete strategy
% 24.85/4.05 % (212208)------------------------------
% 24.85/4.05 % (212208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212208)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212208)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212208)Time elapsed: 0.001 s
% 24.85/4.05 % (212208)Peak memory usage: 11 MB
% 24.85/4.05 % (212208)------------------------------
% 24.85/4.05 % (212208)------------------------------
% 24.85/4.05 % (212210)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 24.85/4.05 % (212210)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=593916820:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2966 on theBenchmark for (2966ds/376Mi)
% 24.85/4.05 % (212182)Instruction limit reached!
% 24.85/4.05 % (212182)------------------------------
% 24.85/4.05 % (212182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212182)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212182)Termination reason: Instruction limit
% 24.85/4.05 % (212182)Termination phase: Saturation
% 24.85/4.05 % (212182)Time elapsed: 0.270 s
% 24.85/4.05 % (212182)Peak memory usage: 13 MB
% 24.85/4.05 % (212182)Instructions burned: 592 (million)
% 24.85/4.05 % (212212)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=3430589054:i=965:bd=all:ins=4:rtra=on_2966 on theBenchmark for (2966ds/965Mi)
% 24.85/4.05 % (212202)Instruction limit reached!
% 24.85/4.05 % (212202)------------------------------
% 24.85/4.05 % (212202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212202)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212202)Termination reason: Instruction limit
% 24.85/4.05 % (212202)Termination phase: Saturation
% 24.85/4.05 % (212202)Time elapsed: 0.154 s
% 24.85/4.05 % (212202)Peak memory usage: 12 MB
% 24.85/4.05 % (212202)Instructions burned: 441 (million)
% 24.85/4.05 % (212214)lrs+10_1_sil=128000:si=on:urr=on:random_seed=884382864:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/5013Mi)
% 24.85/4.05 % (212214)Refutation not found, incomplete strategy
% 24.85/4.05 % (212214)------------------------------
% 24.85/4.05 % (212214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212214)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212214)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212214)Time elapsed: 0.001 s
% 24.85/4.05 % (212214)Peak memory usage: 11 MB
% 24.85/4.05 % (212214)Instructions burned: 1 (million)
% 24.85/4.05 % (212214)------------------------------
% 24.85/4.05 % (212214)------------------------------
% 24.85/4.05 % (212216)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=278323061:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2965 on theBenchmark for (2965ds/1583Mi)
% 24.85/4.05 % (212186)Instruction limit reached!
% 24.85/4.05 % (212186)------------------------------
% 24.85/4.05 % (212186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212186)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212186)Termination reason: Instruction limit
% 24.85/4.05 % (212186)Termination phase: Saturation
% 24.85/4.05 % (212186)Time elapsed: 0.407 s
% 24.85/4.05 % (212186)Peak memory usage: 14 MB
% 24.85/4.05 % (212186)Instructions burned: 1001 (million)
% 24.85/4.05 % (212218)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 24.85/4.05 % (212218)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 24.85/4.05 % (212218)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
% 24.85/4.05 % (212218)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 24.85/4.05 % (212218)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=788466939: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_2964 on theBenchmark for (2964ds/1774Mi)
% 24.85/4.05 % (212218)Refutation not found, incomplete strategy
% 24.85/4.05 % (212218)------------------------------
% 24.85/4.05 % (212218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212218)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212218)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212218)Time elapsed: 0.001 s
% 24.85/4.05 % (212218)Peak memory usage: 11 MB
% 24.85/4.05 % (212218)------------------------------
% 24.85/4.05 % (212218)------------------------------
% 24.85/4.05 % (212210)Instruction limit reached!
% 24.85/4.05 % (212210)------------------------------
% 24.85/4.05 % (212210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212210)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212210)Termination reason: Instruction limit
% 24.85/4.05 % (212210)Termination phase: Saturation
% 24.85/4.05 % (212210)Time elapsed: 0.200 s
% 24.85/4.05 % (212210)Peak memory usage: 14 MB
% 24.85/4.05 % (212210)Instructions burned: 377 (million)
% 24.85/4.05 % (212221)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
% 24.85/4.05 % (212220)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3180100865:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/515Mi)
% 24.85/4.05 % (212220)Refutation not found, incomplete strategy
% 24.85/4.05 % (212220)------------------------------
% 24.85/4.05 % (212220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212220)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212220)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212220)Time elapsed: 0.001 s
% 24.85/4.05 % (212220)Peak memory usage: 12 MB
% 24.85/4.05 % (212220)Instructions burned: 1 (million)
% 24.85/4.05 % (212221)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=2914161580:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2964 on theBenchmark for (2964ds/1297Mi)
% 24.85/4.05 % (212220)------------------------------
% 24.85/4.05 % (212220)------------------------------
% 24.85/4.05 % (212224)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=4208867107:s2a=on:i=611:rtra=on:gsp=on_2964 on theBenchmark for (2964ds/611Mi)
% 24.85/4.05 % (212224)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 24.85/4.05 % (212103) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-211783-212103"...
% 24.85/4.05 % (212212)Instruction limit reached!
% 24.85/4.05 % (212212)------------------------------
% 24.85/4.05 % (212212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212212)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212212)Termination reason: Instruction limit
% 24.85/4.05 % (212212)Termination phase: Saturation
% 24.85/4.05 % (212212)Time elapsed: 0.391 s
% 24.85/4.05 % (212212)Peak memory usage: 15 MB
% 24.85/4.05 % (212212)Instructions burned: 965 (million)
% 24.85/4.05 % (212226)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 24.85/4.05 % (212226)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3878640072:i=72:bd=all:rtra=on_2962 on theBenchmark for (2962ds/72Mi)
% 24.85/4.05 % (212226)Refutation not found, incomplete strategy
% 24.85/4.05 % (212226)------------------------------
% 24.85/4.05 % (212226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.85/4.05 % (212226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.85/4.05 % (212226)CaDiCaL version: 2.1.3
% 24.85/4.05 % (212226)Termination reason: Refutation not found, incomplete strategy
% 24.85/4.05 % (212226)Time elapsed: 0.002 s
% 24.85/4.05 % (212226)Peak memory usage: 12 MB
% 24.85/4.05 % (212226)Instructions burned: 2 (million)
% 24.85/4.05 % (212226)------------------------------
% 24.85/4.05 % (212226)------------------------------
% 24.85/4.05 % (212103)...printing done.
% 24.85/4.05 % (212103)Refutation found. Thanks to Tanya!
% 24.85/4.05 % SZS status Unsatisfiable for theBenchmark
% 24.85/4.05 % SZS output start Proof for theBenchmark
% See solution above
% 26.96/4.09 % (212103)------------------------------
% 26.96/4.09 % (212103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.96/4.09 % (212103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.96/4.09 % (212103)CaDiCaL version: 2.1.3
% 26.96/4.09 % (212103)Termination reason: Refutation
% 26.96/4.09 % (212103)Time elapsed: 1.672 s
% 26.96/4.09 % (212103)Peak memory usage: 20 MB
% 26.96/4.09 % (212103)Instructions burned: 3256 (million)
% 26.96/4.09 % (211783)Success in time 3.839 s
% 26.96/4.09 % Vampire exiting
%------------------------------------------------------------------------------