%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA088^1 : 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 : n012.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 07:51:10 AM UTC 2026
% Result : Unsatisfiable 11.22s 1.94s
% Output : Refutation 11.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( ^ [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] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X3: $i,X2: $i,X1: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( X0 = X1 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f10,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X0 )
| ~ ( b @ X2 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f14,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f10]) ).
thf(f18,plain,
! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f12]) ).
thf(f19,plain,
! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f21,plain,
( ( $true
= ( inj @ sK0 ) )
& ( ( surj @ sK0 )
!= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f8]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f25,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f27,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f33,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f28,f25]) ).
thf(f34,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f24]) ).
thf(f35,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f44,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f29,f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f29,f48]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f29,f42]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f30,f29]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f59,definition,
( spl2_1
<=> ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f60,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f62,definition,
( spl2_2
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f63,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f67,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) ),
inference(constrained_superposition,[],[f26,f50]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f70,definition,
( spl2_3
<=> ! [X1: $i] :
( $true
!= ( b @ sK1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f71,plain,
( ! [X1: $i] :
( $true
!= ( b @ sK1 @ X1 ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f73,definition,
( spl2_4
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f74,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f75,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f68,f73,f70]) ).
thf(f78,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f79,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f80,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f51,f42]) ).
thf(f97,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f78]) ).
thf(f98,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f101,definition,
( spl2_5
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f102,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f104,definition,
( spl2_6
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f105,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f106,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f98,f104,f101]) ).
thf(f110,definition,
( spl2_7
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f111,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f141,definition,
( spl2_9
<=> ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f142,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f141]) ).
thf(f147,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f26,f105]) ).
thf(f148,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f147]) ).
thf(f149,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f148,f50]) ).
thf(f151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f154,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f151,f105]) ).
thf(f155,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f157,definition,
( spl2_11
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f158,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_11 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f160,definition,
( spl2_12
<=> ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f161,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f162,plain,
( ~ spl2_11
| spl2_12
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f155,f104,f160,f157]) ).
thf(f164,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f30,f79]) ).
thf(f165,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f186,definition,
( spl2_13
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f187,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f194,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ),
inference(extensionality_resolution,[],[f55,f48]) ).
thf(f195,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X2 ) ) )
| ( $true
= ( b @ ( sK0 @ X2 ) @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ X2 ) )
!= $true ) ),
inference(extensionality_resolution,[],[f55,f48]) ).
thf(f196,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X2 = X3 ) ),
inference(constrained_superposition,[],[f55,f29]) ).
thf(f197,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( X1 = X2 )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f55,f49]) ).
thf(f201,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f203,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f206,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( X1 = X2 ) )
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f201,f71]) ).
thf(f211,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f195,f79]) ).
thf(f214,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f211]) ).
thf(f234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f206,f79]) ).
thf(f237,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f241,definition,
( spl2_15
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f242,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_15 ),
inference(avatar_component_clause,[],[f241]) ).
thf(f244,definition,
( spl2_16
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f245,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f246,plain,
( ~ spl2_15
| spl2_13
| spl2_16
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f237,f70,f244,f186,f241]) ).
thf(f248,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_15 ),
inference(constrained_superposition,[],[f242,f29]) ).
thf(f250,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_15 ),
inference(trivial_inequality_removal,[],[f248]) ).
thf(f253,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f250,f48]) ).
thf(f254,plain,
( $false
| ~ spl2_3
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f253,f71]) ).
thf(f255,plain,
( ~ spl2_3
| spl2_15 ),
inference(avatar_contradiction_clause,[],[f254]) ).
thf(f257,definition,
( spl2_17
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f258,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f257]) ).
thf(f269,definition,
( spl2_19
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f270,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f269]) ).
thf(f273,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_6 ),
inference(constrained_superposition,[],[f74,f105]) ).
thf(f274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f273]) ).
thf(f275,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f274,f111]) ).
thf(f276,plain,
( spl2_12
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f275,f110,f104,f73,f160]) ).
thf(f278,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(constrained_superposition,[],[f63,f161]) ).
thf(f283,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f278]) ).
thf(f285,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(constrained_superposition,[],[f283,f79]) ).
thf(f291,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f294,definition,
( spl2_20
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f295,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_20 ),
inference(avatar_component_clause,[],[f294]) ).
thf(f296,plain,
( spl2_13
| ~ spl2_20
| ~ spl2_2
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f291,f160,f62,f294,f186]) ).
thf(f1236,definition,
( spl2_31
<=> ! [X2: $i,X3: $i] :
( ( sK0 @ X3 )
= ( sK0 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f1237,plain,
( ! [X2: $i,X3: $i] :
( ( sK0 @ X3 )
= ( sK0 @ X2 ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f1391,definition,
( spl2_70
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( $true
!= ( r @ sK1 @ X2 ) )
| ( X2 = X3 )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ X2 @ X3 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f1392,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( X2 = X3 )
| ( ( b @ X2 @ X3 )
= $true ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f1391]) ).
thf(f1413,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X3 )
| ( $true != $true )
| ( $true
= ( b @ X1 @ X3 ) )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f203,f29]) ).
thf(f1420,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X3 ) )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( $true
= ( b @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1413]) ).
thf(f1446,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f80,f48]) ).
thf(f1467,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( $true
= ( b @ X1 @ X3 ) ) ),
inference(constrained_superposition,[],[f1420,f29]) ).
thf(f1477,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( $true
= ( b @ X1 @ X3 ) )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X1 = X3 )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f1467]) ).
thf(f1499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 ) )
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f201,f71]) ).
thf(f1500,plain,
( spl2_70
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f1499,f70,f1391]) ).
thf(f1503,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ X2 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X1 ) )
!= $true )
| ( X1 = X2 ) )
| ~ spl2_70 ),
inference(extensionality_resolution,[],[f1392,f42]) ).
thf(f1599,definition,
( spl2_76
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f1600,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f1599]) ).
thf(f1602,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f194,f59,f62]) ).
thf(f1605,definition,
( spl2_77
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f1606,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f1605]) ).
thf(f1607,plain,
( spl2_77
| spl2_7 ),
inference(avatar_split_clause,[],[f214,f110,f1605]) ).
thf(f1635,definition,
( spl2_79
<=> ! [X2: $i] :
( ( $true
= ( b @ sK1 @ X2 ) )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f1636,plain,
( ! [X2: $i] :
( ( $true
= ( b @ sK1 @ X2 ) )
| ( sK1 = X2 ) )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f1635]) ).
thf(f3296,definition,
( spl2_125
<=> ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f3297,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f3296]) ).
thf(f3399,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f102,f29]) ).
thf(f3401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f102,f51]) ).
thf(f3402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f102,f79]) ).
thf(f3404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3399]) ).
thf(f3405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3401]) ).
thf(f3406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3402]) ).
thf(f3407,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f3406,f79]) ).
thf(f3411,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(duplicate_literal_removal,[],[f3407]) ).
thf(f3412,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3411]) ).
thf(f3417,definition,
( spl2_145
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f3418,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_145 ),
inference(avatar_component_clause,[],[f3417]) ).
thf(f3419,plain,
( ~ spl2_145
| spl2_13
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f3412,f101,f186,f3417]) ).
thf(f3491,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f3534,definition,
( spl2_149
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f3535,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_149 ),
inference(avatar_component_clause,[],[f3534]) ).
thf(f3786,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_11 ),
inference(constrained_superposition,[],[f74,f3491]) ).
thf(f3790,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f3786]) ).
thf(f3797,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_11
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f3790,f295]) ).
thf(f3803,plain,
( $false
| ~ spl2_4
| ~ spl2_7
| ~ spl2_11
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f3797,f111]) ).
thf(f3804,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_11
| spl2_20 ),
inference(avatar_contradiction_clause,[],[f3803]) ).
thf(f3854,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_13 ),
inference(constrained_superposition,[],[f74,f187]) ).
thf(f3859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f3854]) ).
thf(f3862,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_13
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f3859,f295]) ).
thf(f3863,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_13
| spl2_20 ),
inference(constrained_superposition,[],[f3862,f50]) ).
thf(f3864,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_13
| spl2_20 ),
inference(trivial_inequality_removal,[],[f3863]) ).
thf(f3865,plain,
( spl2_12
| ~ spl2_4
| ~ spl2_13
| spl2_20 ),
inference(avatar_split_clause,[],[f3864,f294,f186,f73,f160]) ).
thf(f3874,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f3404,f29]) ).
thf(f3876,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f3404,f51]) ).
thf(f3878,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3874]) ).
thf(f3879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3876]) ).
thf(f3902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f3878,f29]) ).
thf(f3907,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3902]) ).
thf(f3911,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_70 ),
inference(extensionality_resolution,[],[f1503,f48]) ).
thf(f3947,definition,
( spl2_157
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f3948,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( X0 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( $true
= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f3947]) ).
thf(f3959,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4
| ~ spl2_5 ),
inference(constrained_superposition,[],[f74,f3907]) ).
thf(f3969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3959]) ).
thf(f4006,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f3405,f1446]) ).
thf(f4012,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f30,f1446]) ).
thf(f4020,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f4012]) ).
thf(f4024,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f4006]) ).
thf(f4028,definition,
( spl2_160
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f4029,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f4028]) ).
thf(f4031,definition,
( spl2_161
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f4032,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f4031]) ).
thf(f4036,definition,
( spl2_162
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f4037,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ X1 ) ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f4036]) ).
thf(f4039,definition,
( spl2_163
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_163])],[avatar_definition]) ).
thf(f4040,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f4039]) ).
thf(f4041,plain,
( spl2_162
| spl2_163 ),
inference(avatar_split_clause,[],[f4020,f4039,f4036]) ).
thf(f4042,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f4024,f48]) ).
thf(f4044,definition,
( spl2_164
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f4045,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f4044]) ).
thf(f4054,plain,
( spl2_161
| spl2_160
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f4042,f101,f4028,f4031]) ).
thf(f4065,definition,
( spl2_167
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f4066,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f4065]) ).
thf(f4079,definition,
( spl2_168
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f4080,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f4079]) ).
thf(f4082,definition,
( spl2_169
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f4083,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f4082]) ).
thf(f4126,definition,
( spl2_171
<=> ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f4127,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f4126]) ).
thf(f4133,definition,
( spl2_173
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f4134,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f4133]) ).
thf(f4136,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_163 ),
inference(constrained_superposition,[],[f74,f4040]) ).
thf(f4140,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f4136]) ).
thf(f4143,definition,
( spl2_174
<=> ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f4144,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f4143]) ).
thf(f4145,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_76 ),
inference(avatar_component_clause,[],[f1599]) ).
thf(f4146,plain,
( spl2_174
| ~ spl2_76
| ~ spl2_4
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f4140,f4039,f73,f1599,f4143]) ).
thf(f4147,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_76 ),
inference(constrained_superposition,[],[f4145,f50]) ).
thf(f4149,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_76 ),
inference(trivial_inequality_removal,[],[f4147]) ).
thf(f4151,plain,
( spl2_173
| spl2_76 ),
inference(avatar_split_clause,[],[f4149,f1599,f4133]) ).
thf(f4164,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f30,f4134]) ).
thf(f4171,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f4164]) ).
thf(f4174,definition,
( spl2_176
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f4175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f4174]) ).
thf(f4177,plain,
( spl2_162
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f4171,f4133,f4036]) ).
thf(f4201,definition,
( spl2_179
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f4202,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f4201]) ).
thf(f4206,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_167 ),
inference(constrained_superposition,[],[f4066,f60]) ).
thf(f4213,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_1
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f4206]) ).
thf(f4218,plain,
( $false
| ~ spl2_1
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f4213,f60]) ).
thf(f4219,plain,
( ~ spl2_1
| ~ spl2_167 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
thf(f4222,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_5
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4127,f3907]) ).
thf(f4226,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f4222]) ).
thf(f4229,definition,
( spl2_181
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f4230,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f4229]) ).
thf(f4231,plain,
( spl2_181
| spl2_164
| ~ spl2_5
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f4226,f4126,f101,f4044,f4229]) ).
thf(f4358,definition,
( spl2_186
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f4359,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f4358]) ).
thf(f4373,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f294]) ).
thf(f4434,definition,
( spl2_190
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f4435,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_190 ),
inference(avatar_component_clause,[],[f4434]) ).
thf(f4437,definition,
( spl2_191
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f4438,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f4437]) ).
thf(f4482,definition,
( spl2_195
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f4483,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f4482]) ).
thf(f4927,definition,
( spl2_209
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f4928,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_209 ),
inference(avatar_component_clause,[],[f4927]) ).
thf(f4930,definition,
( spl2_210
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f4931,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f4930]) ).
thf(f4941,definition,
( spl2_211
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f4942,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_211 ),
inference(avatar_component_clause,[],[f4941]) ).
thf(f4961,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_76
| ~ spl2_157 ),
inference(constrained_superposition,[],[f3948,f1600]) ).
thf(f4966,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_76
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f4961]) ).
thf(f4967,plain,
( spl2_164
| spl2_181
| ~ spl2_76
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f4966,f3947,f1599,f4229,f4044]) ).
thf(f4977,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true != $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f30,f4144]) ).
thf(f4981,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f4977]) ).
thf(f4999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f26,f4040]) ).
thf(f5000,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f4999]) ).
thf(f5098,definition,
( spl2_222
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f5099,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f5098]) ).
thf(f5120,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f63,f29]) ).
thf(f5121,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(constrained_superposition,[],[f63,f4144]) ).
thf(f5122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f5121]) ).
thf(f5123,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f5120]) ).
thf(f5126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X1 ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(constrained_superposition,[],[f5122,f51]) ).
thf(f5132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f5126]) ).
thf(f5137,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f4981,f78]) ).
thf(f5140,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f5137]) ).
thf(f5184,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_209 ),
inference(avatar_component_clause,[],[f4927]) ).
thf(f5211,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_179 ),
inference(constrained_superposition,[],[f258,f4202]) ).
thf(f5214,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f5211]) ).
thf(f5219,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_76
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f5214,f1600]) ).
thf(f5222,plain,
( spl2_164
| ~ spl2_17
| ~ spl2_76
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f5219,f4201,f1599,f257,f4044]) ).
thf(f5401,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_181 ),
inference(constrained_superposition,[],[f74,f4230]) ).
thf(f5404,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f5401]) ).
thf(f5409,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_17
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f5404,f258]) ).
thf(f5413,definition,
( spl2_230
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f5414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f5413]) ).
thf(f5415,plain,
( spl2_230
| spl2_173
| ~ spl2_4
| ~ spl2_17
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f5409,f4229,f257,f73,f4133,f5413]) ).
thf(f5512,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(constrained_superposition,[],[f5132,f4144]) ).
thf(f5517,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f5512]) ).
thf(f5937,definition,
( spl2_247
<=> ! [X2: $i,X3: $i] :
( ( sK0 @ ( sK0 @ X3 ) )
= ( sK0 @ ( sK0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f5938,plain,
( ! [X2: $i,X3: $i] :
( ( sK0 @ ( sK0 @ X3 ) )
= ( sK0 @ ( sK0 @ X2 ) ) )
| ~ spl2_247 ),
inference(avatar_component_clause,[],[f5937]) ).
thf(f5992,definition,
( spl2_260
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_260])],[avatar_definition]) ).
thf(f5993,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X2 @ sK1 ) ) )
| ~ spl2_260 ),
inference(avatar_component_clause,[],[f5992]) ).
thf(f6024,definition,
( spl2_268
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f6025,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f6024]) ).
thf(f6271,definition,
( spl2_278
<=> ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f6272,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f6271]) ).
thf(f6322,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_168 ),
inference(avatar_component_clause,[],[f4079]) ).
thf(f7249,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_164 ),
inference(avatar_component_clause,[],[f4044]) ).
thf(f7255,definition,
( spl2_296
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).
thf(f7256,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f7255]) ).
thf(f7280,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_173 ),
inference(avatar_component_clause,[],[f4133]) ).
thf(f7314,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_70
| spl2_164 ),
inference(extensionality_resolution,[],[f1503,f7249]) ).
thf(f7331,definition,
( spl2_308
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f7332,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f7331]) ).
thf(f7334,definition,
( spl2_309
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f7335,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f7334]) ).
thf(f7338,definition,
( spl2_310
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_310])],[avatar_definition]) ).
thf(f7339,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_310 ),
inference(avatar_component_clause,[],[f7338]) ).
thf(f7340,plain,
( spl2_308
| ~ spl2_310
| spl2_125
| ~ spl2_70
| spl2_164 ),
inference(avatar_split_clause,[],[f7314,f4044,f1391,f3296,f7338,f7331]) ).
thf(f7342,definition,
( spl2_311
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_311])],[avatar_definition]) ).
thf(f7343,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_311 ),
inference(avatar_component_clause,[],[f7342]) ).
thf(f7345,definition,
( spl2_312
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f7346,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f7345]) ).
thf(f7349,definition,
( spl2_313
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).
thf(f7350,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f7349]) ).
thf(f7352,definition,
( spl2_314
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_314])],[avatar_definition]) ).
thf(f7353,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314 ),
inference(avatar_component_clause,[],[f7352]) ).
thf(f7413,definition,
( spl2_317
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).
thf(f7414,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f7413]) ).
thf(f7437,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f3297,f78]) ).
thf(f7444,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f7437]) ).
thf(f7450,plain,
( spl2_191
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f7444,f3296,f4437]) ).
thf(f7562,definition,
( spl2_322
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f7563,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f7562]) ).
thf(f7565,definition,
( spl2_323
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f7566,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f7565]) ).
thf(f7600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_163
| ~ spl2_308 ),
inference(constrained_superposition,[],[f5000,f7332]) ).
thf(f7606,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f7600]) ).
thf(f7612,plain,
( spl2_317
| ~ spl2_163
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f7606,f7331,f4039,f7413]) ).
thf(f7629,definition,
( spl2_325
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f7630,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f7629]) ).
thf(f7637,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_70
| ~ spl2_309 ),
inference(constrained_superposition,[],[f3911,f7335]) ).
thf(f7652,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_309 ),
inference(constrained_superposition,[],[f3878,f7335]) ).
thf(f7665,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f7652]) ).
thf(f7670,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_70
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f7637]) ).
thf(f7672,definition,
( spl2_326
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_326])],[avatar_definition]) ).
thf(f7673,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f7672]) ).
thf(f7676,definition,
( spl2_327
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_327])],[avatar_definition]) ).
thf(f7677,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f7676]) ).
thf(f7682,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| spl2_164
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f7665,f7249]) ).
thf(f7692,definition,
( spl2_330
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_330])],[avatar_definition]) ).
thf(f7693,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_330 ),
inference(avatar_component_clause,[],[f7692]) ).
thf(f7699,plain,
( ~ spl2_149
| spl2_160
| ~ spl2_70
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f7670,f7334,f1391,f4028,f3534]) ).
thf(f7701,definition,
( spl2_332
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_332])],[avatar_definition]) ).
thf(f7702,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f7701]) ).
thf(f7705,plain,
( spl2_160
| spl2_332
| spl2_327
| ~ spl2_5
| spl2_164
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f7682,f7334,f4044,f101,f7676,f7701,f4028]) ).
thf(f7729,definition,
( spl2_333
<=> ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_333])],[avatar_definition]) ).
thf(f7730,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_333 ),
inference(avatar_component_clause,[],[f7729]) ).
thf(f7732,definition,
( spl2_334
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_334])],[avatar_definition]) ).
thf(f7733,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_334 ),
inference(avatar_component_clause,[],[f7732]) ).
thf(f7736,definition,
( spl2_335
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_335])],[avatar_definition]) ).
thf(f7737,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_335 ),
inference(avatar_component_clause,[],[f7736]) ).
thf(f7755,definition,
( spl2_340
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_340])],[avatar_definition]) ).
thf(f7756,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_340 ),
inference(avatar_component_clause,[],[f7755]) ).
thf(f7806,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_181
| spl2_334 ),
inference(constrained_superposition,[],[f7733,f4230]) ).
thf(f7819,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_181
| spl2_334 ),
inference(trivial_inequality_removal,[],[f7806]) ).
thf(f7823,definition,
( spl2_343
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_343])],[avatar_definition]) ).
thf(f7824,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_343 ),
inference(avatar_component_clause,[],[f7823]) ).
thf(f7826,definition,
( spl2_344
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f7827,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f7826]) ).
thf(f7839,definition,
( spl2_347
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f7840,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f7839]) ).
thf(f7841,plain,
( spl2_347
| spl2_344
| spl2_343
| ~ spl2_181
| spl2_334 ),
inference(avatar_split_clause,[],[f7819,f7732,f4229,f7823,f7826,f7839]) ).
thf(f7855,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| ~ spl2_343 ),
inference(constrained_superposition,[],[f4032,f7824]) ).
thf(f7979,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| spl2_209
| ~ spl2_343 ),
inference(forward_subsumption_resolution,[],[f7855,f5184]) ).
thf(f7991,plain,
( ~ spl2_211
| ~ spl2_161
| spl2_209
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f7979,f7823,f4927,f4031,f4941]) ).
thf(f8001,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_70
| ~ spl2_311 ),
inference(constrained_superposition,[],[f3911,f7343]) ).
thf(f8009,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_311 ),
inference(constrained_superposition,[],[f3879,f7343]) ).
thf(f8011,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_174
| ~ spl2_311 ),
inference(constrained_superposition,[],[f5122,f7343]) ).
thf(f8025,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_174
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f8011]) ).
thf(f8026,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f8009]) ).
thf(f8037,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f8001]) ).
thf(f8046,definition,
( spl2_351
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_351])],[avatar_definition]) ).
thf(f8047,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_351 ),
inference(avatar_component_clause,[],[f8046]) ).
thf(f8049,plain,
( $false
| ~ spl2_2
| ~ spl2_174
| ~ spl2_311 ),
inference(forward_subsumption_resolution,[],[f8025,f4144]) ).
thf(f8050,plain,
( ~ spl2_2
| ~ spl2_174
| ~ spl2_311 ),
inference(avatar_contradiction_clause,[],[f8049]) ).
thf(f8051,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_311 ),
inference(forward_subsumption_resolution,[],[f8026,f48]) ).
thf(f8057,definition,
( spl2_353
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f8058,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f8057]) ).
thf(f8077,definition,
( spl2_357
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_357])],[avatar_definition]) ).
thf(f8078,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_357 ),
inference(avatar_component_clause,[],[f8077]) ).
thf(f8080,plain,
( ~ spl2_310
| spl2_327
| ~ spl2_70
| ~ spl2_311 ),
inference(avatar_split_clause,[],[f8037,f7342,f1391,f7676,f7338]) ).
thf(f8092,plain,
( spl2_347
| spl2_327
| spl2_344
| ~ spl2_5
| ~ spl2_311 ),
inference(avatar_split_clause,[],[f8051,f7342,f101,f7826,f7676,f7839]) ).
thf(f8106,plain,
( ! [X0: $i,X1: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ X1 ) ) )
| ~ spl2_333 ),
inference(constrained_superposition,[],[f7730,f7730]) ).
thf(f8354,plain,
( spl2_247
| ~ spl2_333 ),
inference(avatar_split_clause,[],[f8106,f7729,f5937]) ).
thf(f8731,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(constrained_superposition,[],[f5123,f161]) ).
thf(f8732,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(constrained_superposition,[],[f63,f161]) ).
thf(f8748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f8732]) ).
thf(f8758,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f8731]) ).
thf(f8761,plain,
( spl2_260
| ~ spl2_2
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f8748,f160,f62,f5992]) ).
thf(f8763,plain,
( spl2_268
| ~ spl2_2
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f8758,f160,f62,f6024]) ).
thf(f8778,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( X0 = X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f6272,f1477]) ).
thf(f8788,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( X0 = X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ X2 @ X0 ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f8778]) ).
thf(f8790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f8788,f6272]) ).
thf(f8792,definition,
( spl2_367
<=> ! [X2: $i,X0: $i] :
( ( X0 = X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f8793,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f8792]) ).
thf(f8794,plain,
( spl2_179
| spl2_367
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f8790,f6271,f8792,f4201]) ).
thf(f8847,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_181 ),
inference(constrained_superposition,[],[f71,f4230]) ).
thf(f8851,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_3
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f8847]) ).
thf(f8859,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_3
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f8851,f48]) ).
thf(f8863,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_3
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f8859,f71]) ).
thf(f8866,plain,
( $false
| ~ spl2_3
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f8863,f48]) ).
thf(f8867,plain,
( ~ spl2_3
| ~ spl2_181 ),
inference(avatar_contradiction_clause,[],[f8866]) ).
thf(f8871,plain,
( spl2_20
| spl2_157
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f3969,f101,f73,f3947,f294]) ).
thf(f9153,definition,
( spl2_377
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_377])],[avatar_definition]) ).
thf(f9154,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_377 ),
inference(avatar_component_clause,[],[f9153]) ).
thf(f9191,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f142,f50]) ).
thf(f9198,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f9191]) ).
thf(f9206,plain,
( spl2_20
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f9198,f141,f294]) ).
thf(f9217,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_176 ),
inference(constrained_superposition,[],[f4175,f4373]) ).
thf(f9230,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f9217]) ).
thf(f9238,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| spl2_164
| ~ spl2_176 ),
inference(forward_subsumption_resolution,[],[f9230,f7249]) ).
thf(f9244,plain,
( $false
| ~ spl2_20
| spl2_164
| ~ spl2_176
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f9238,f6272]) ).
thf(f9245,plain,
( ~ spl2_20
| spl2_164
| ~ spl2_176
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f9244]) ).
thf(f9406,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
!= ( sK0 @ X0 ) )
| ~ spl2_31
| spl2_164 ),
inference(constrained_superposition,[],[f7249,f1237]) ).
thf(f9596,plain,
( $false
| ~ spl2_31
| spl2_164 ),
inference(forward_subsumption_resolution,[],[f9406,f1237]) ).
thf(f9597,plain,
( ~ spl2_31
| spl2_164 ),
inference(avatar_contradiction_clause,[],[f9596]) ).
thf(f10276,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_2
| ~ spl2_20 ),
inference(constrained_superposition,[],[f63,f4373]) ).
thf(f10278,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f30,f4373]) ).
thf(f10285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f10278]) ).
thf(f10289,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f10276]) ).
thf(f10294,plain,
( spl2_5
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f10285,f294,f101]) ).
thf(f10484,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f1446,f7756]) ).
thf(f10597,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f10484,f6272]) ).
thf(f10611,plain,
( spl2_210
| ~ spl2_278
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f10597,f7755,f6271,f4930]) ).
thf(f10876,plain,
( $false
| ~ spl2_168
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f4080,f6272]) ).
thf(f10877,plain,
( ~ spl2_168
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f10876]) ).
thf(f10919,definition,
( spl2_393
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f10920,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f10919]) ).
thf(f11433,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_2
| ~ spl2_20 ),
inference(constrained_superposition,[],[f10289,f78]) ).
thf(f11438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_2
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f11433]) ).
thf(f11441,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_2
| ~ spl2_12
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f11438,f161]) ).
thf(f11442,plain,
( spl2_6
| ~ spl2_2
| ~ spl2_12
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f11441,f294,f160,f62,f104]) ).
thf(f11447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_173 ),
inference(constrained_superposition,[],[f63,f4134]) ).
thf(f11462,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_2
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f11447]) ).
thf(f11467,plain,
( spl2_296
| ~ spl2_2
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f11462,f4133,f62,f7255]) ).
thf(f11573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_70
| ~ spl2_309 ),
inference(constrained_superposition,[],[f1503,f7335]) ).
thf(f11592,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_70
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f11573]) ).
thf(f11601,plain,
( spl2_330
| ~ spl2_149
| ~ spl2_70
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f11592,f7334,f1391,f3534,f7692]) ).
thf(f11653,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f4083,f49]) ).
thf(f11662,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f11653]) ).
thf(f11673,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f11662,f6272]) ).
thf(f11674,plain,
( ~ spl2_20
| ~ spl2_169
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f11673,f6271,f4082,f294]) ).
thf(f11675,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_20 ),
inference(constrained_superposition,[],[f295,f29]) ).
thf(f11676,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_20 ),
inference(trivial_inequality_removal,[],[f11675]) ).
thf(f11677,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f11676,f48]) ).
thf(f11678,plain,
( spl2_7
| spl2_20 ),
inference(avatar_split_clause,[],[f11677,f294,f110]) ).
thf(f11709,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_19
| ~ spl2_163 ),
inference(constrained_superposition,[],[f270,f4040]) ).
thf(f11726,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f11709]) ).
thf(f11735,plain,
( $false
| ~ spl2_13
| ~ spl2_19
| ~ spl2_163 ),
inference(forward_subsumption_resolution,[],[f11726,f187]) ).
thf(f11736,plain,
( ~ spl2_13
| ~ spl2_19
| ~ spl2_163 ),
inference(avatar_contradiction_clause,[],[f11735]) ).
thf(f11791,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_211 ),
inference(constrained_superposition,[],[f4942,f29]) ).
thf(f11793,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_211 ),
inference(trivial_inequality_removal,[],[f11791]) ).
thf(f11805,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_160 ),
inference(constrained_superposition,[],[f258,f4029]) ).
thf(f11815,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f11805]) ).
thf(f11820,plain,
( $false
| ~ spl2_17
| ~ spl2_76
| ~ spl2_160 ),
inference(forward_subsumption_resolution,[],[f11815,f1600]) ).
thf(f11821,plain,
( ~ spl2_17
| ~ spl2_76
| ~ spl2_160 ),
inference(avatar_contradiction_clause,[],[f11820]) ).
thf(f11839,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_164
| spl2_211 ),
inference(forward_subsumption_resolution,[],[f11793,f7249]) ).
thf(f11840,plain,
( spl2_160
| spl2_164
| spl2_211 ),
inference(avatar_split_clause,[],[f11839,f4941,f4044,f4028]) ).
thf(f11863,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_163
| ~ spl2_393 ),
inference(constrained_superposition,[],[f10920,f4040]) ).
thf(f11872,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_163
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f11863]) ).
thf(f11879,plain,
( $false
| ~ spl2_76
| ~ spl2_163
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f11872,f1600]) ).
thf(f11880,plain,
( ~ spl2_76
| ~ spl2_163
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f11879]) ).
thf(f11888,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_174
| ~ spl2_323 ),
inference(constrained_superposition,[],[f7566,f5517]) ).
thf(f11896,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_174
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f11888]) ).
thf(f11908,plain,
( spl2_333
| ~ spl2_2
| ~ spl2_174
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f11896,f7565,f4143,f62,f7729]) ).
thf(f11950,plain,
( ( $true != $true )
| ~ spl2_1
| ~ spl2_278 ),
inference(constrained_superposition,[],[f6272,f60]) ).
thf(f11955,plain,
( $false
| ~ spl2_1
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f11950]) ).
thf(f11956,plain,
( ~ spl2_1
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f11955]) ).
thf(f11970,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_163
| ~ spl2_327 ),
inference(constrained_superposition,[],[f5000,f7677]) ).
thf(f11972,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f11970]) ).
thf(f11975,plain,
( spl2_317
| ~ spl2_163
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f11972,f7676,f4039,f7413]) ).
thf(f11984,definition,
( spl2_406
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).
thf(f11985,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_406 ),
inference(avatar_component_clause,[],[f11984]) ).
thf(f11999,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f78,f7827]) ).
thf(f12004,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f1446,f7827]) ).
thf(f12005,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| ~ spl2_344 ),
inference(constrained_superposition,[],[f4032,f7827]) ).
thf(f12009,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163
| ~ spl2_344 ),
inference(constrained_superposition,[],[f5000,f7827]) ).
thf(f12046,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163
| ~ spl2_344 ),
inference(duplicate_literal_removal,[],[f12009]) ).
thf(f12050,plain,
( spl2_278
| spl2_171
| ~ spl2_163
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f12046,f7826,f4039,f4126,f6271]) ).
thf(f12059,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_209
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f12004,f5184]) ).
thf(f12063,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_145
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f11999,f3418]) ).
thf(f12068,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| spl2_209
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f12005,f5184]) ).
thf(f12073,plain,
( spl2_210
| spl2_209
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f12059,f7826,f4927,f4930]) ).
thf(f12077,plain,
( $false
| spl2_11
| spl2_145
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f12063,f158]) ).
thf(f12078,plain,
( spl2_11
| spl2_145
| ~ spl2_344 ),
inference(avatar_contradiction_clause,[],[f12077]) ).
thf(f12080,plain,
( ~ spl2_211
| ~ spl2_161
| spl2_209
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f12068,f7826,f4927,f4031,f4941]) ).
thf(f12141,definition,
( spl2_408
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_408])],[avatar_definition]) ).
thf(f12142,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_408 ),
inference(avatar_component_clause,[],[f12141]) ).
thf(f12148,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_317 ),
inference(constrained_superposition,[],[f7414,f60]) ).
thf(f12152,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f12148]) ).
thf(f12155,plain,
( $false
| ~ spl2_1
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f12152,f60]) ).
thf(f12156,plain,
( ~ spl2_1
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f12155]) ).
thf(f12231,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_309 ),
inference(constrained_superposition,[],[f4083,f7335]) ).
thf(f12233,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f12231]) ).
thf(f12239,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_169
| ~ spl2_309 ),
inference(constrained_superposition,[],[f12233,f51]) ).
thf(f12242,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_169
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f12239]) ).
thf(f12245,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_169
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f12242,f142]) ).
thf(f12249,plain,
( $false
| ~ spl2_9
| ~ spl2_169
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f12245,f48]) ).
thf(f12250,plain,
( ~ spl2_9
| ~ spl2_169
| ~ spl2_309 ),
inference(avatar_contradiction_clause,[],[f12249]) ).
thf(f12251,plain,
( $false
| ~ spl2_9
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f4080,f142]) ).
thf(f12252,plain,
( ~ spl2_9
| ~ spl2_168 ),
inference(avatar_contradiction_clause,[],[f12251]) ).
thf(f12254,definition,
( spl2_410
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_410])],[avatar_definition]) ).
thf(f12255,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_410 ),
inference(avatar_component_clause,[],[f12254]) ).
thf(f12259,plain,
( ( $true != $true )
| ~ spl2_163
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4127,f4040]) ).
thf(f12260,plain,
( ( $true != $true )
| ~ spl2_160
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4127,f4029]) ).
thf(f12261,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4127,f50]) ).
thf(f12263,plain,
( $false
| ~ spl2_163
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f12259]) ).
thf(f12264,plain,
( ~ spl2_163
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f12263]) ).
thf(f12266,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f12261]) ).
thf(f12267,plain,
( $false
| ~ spl2_160
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f12260]) ).
thf(f12268,plain,
( ~ spl2_160
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f12267]) ).
thf(f12271,plain,
( spl2_173
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f12266,f4126,f4133]) ).
thf(f12315,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_190 ),
inference(constrained_superposition,[],[f4435,f79]) ).
thf(f12320,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_190 ),
inference(trivial_inequality_removal,[],[f12315]) ).
thf(f12323,plain,
( spl2_327
| spl2_190 ),
inference(avatar_split_clause,[],[f12320,f4434,f7676]) ).
thf(f12325,definition,
( spl2_414
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_414])],[avatar_definition]) ).
thf(f12326,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_414 ),
inference(avatar_component_clause,[],[f12325]) ).
thf(f12355,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f42,f4045]) ).
thf(f12409,definition,
( spl2_415
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_415])],[avatar_definition]) ).
thf(f12410,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_415 ),
inference(avatar_component_clause,[],[f12409]) ).
thf(f12434,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f3417]) ).
thf(f12449,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_164 ),
inference(equality_resolution,[],[f12355]) ).
thf(f12450,plain,
( $false
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f12449,f48]) ).
thf(f12451,plain,
~ spl2_164,
inference(avatar_contradiction_clause,[],[f12450]) ).
thf(f12504,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
!= ( sK0 @ X2 ) )
| ( ( sK0 @ X1 )
= X2 ) )
| ~ spl2_247 ),
inference(constrained_superposition,[],[f42,f5938]) ).
thf(f12609,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f195,f12434]) ).
thf(f12610,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f30,f12434]) ).
thf(f12619,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145 ),
inference(duplicate_literal_removal,[],[f12609]) ).
thf(f12620,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f12619]) ).
thf(f12621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f12610]) ).
thf(f12628,definition,
( spl2_421
<=> ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_421])],[avatar_definition]) ).
thf(f12629,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_421 ),
inference(avatar_component_clause,[],[f12628]) ).
thf(f12630,plain,
( spl2_421
| spl2_7
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f12620,f3417,f110,f12628]) ).
thf(f12631,plain,
( spl2_5
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f12621,f3417,f101]) ).
thf(f12636,plain,
( ( $true != $true )
| ~ spl2_145
| ~ spl2_421 ),
inference(constrained_superposition,[],[f12629,f12434]) ).
thf(f12637,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_421 ),
inference(constrained_superposition,[],[f12629,f79]) ).
thf(f12639,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f12637]) ).
thf(f12642,plain,
( $false
| ~ spl2_145
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f12636]) ).
thf(f12643,plain,
( ~ spl2_145
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f12642]) ).
thf(f12644,plain,
( spl2_13
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f12639,f12628,f186]) ).
thf(f12656,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_325 ),
inference(constrained_superposition,[],[f7630,f50]) ).
thf(f12661,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f12656]) ).
thf(f12685,plain,
( ! [X0: $i,X1: $i] :
( ( sK0 @ X1 )
= ( sK0 @ X0 ) )
| ~ spl2_247 ),
inference(equality_resolution,[],[f12504]) ).
thf(f12687,plain,
( spl2_31
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f12685,f5937,f1236]) ).
thf(f12689,plain,
( spl2_12
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f12661,f7629,f160]) ).
thf(f12691,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f26,f60]) ).
thf(f12692,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f12691]) ).
thf(f12857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f26,f4928]) ).
thf(f12859,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_209 ),
inference(duplicate_literal_removal,[],[f12857]) ).
thf(f12860,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f12859]) ).
thf(f12861,plain,
( spl2_278
| spl2_171
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f12860,f4927,f4126,f6271]) ).
thf(f12942,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_351 ),
inference(constrained_superposition,[],[f165,f8047]) ).
thf(f12944,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_351 ),
inference(constrained_superposition,[],[f30,f8047]) ).
thf(f12949,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f12944]) ).
thf(f12951,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f12942]) ).
thf(f12958,plain,
( spl2_162
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f12949,f8046,f4036]) ).
thf(f13064,definition,
( spl2_426
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_426])],[avatar_definition]) ).
thf(f13065,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_426 ),
inference(avatar_component_clause,[],[f13064]) ).
thf(f13066,plain,
( spl2_426
| spl2_327
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f12951,f8046,f7676,f13064]) ).
thf(f13241,plain,
( $false
| ~ spl2_308
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f7332,f7566]) ).
thf(f13242,plain,
( ~ spl2_308
| ~ spl2_323 ),
inference(avatar_contradiction_clause,[],[f13241]) ).
thf(f13277,definition,
( spl2_427
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_427])],[avatar_definition]) ).
thf(f13278,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_427 ),
inference(avatar_component_clause,[],[f13277]) ).
thf(f13284,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_410 ),
inference(constrained_superposition,[],[f12255,f78]) ).
thf(f13290,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f13284]) ).
thf(f13324,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_426 ),
inference(constrained_superposition,[],[f13065,f78]) ).
thf(f13328,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f13324]) ).
thf(f13337,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_1
| ~ spl2_406 ),
inference(constrained_superposition,[],[f11985,f60]) ).
thf(f13342,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_1
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f13337]) ).
thf(f13348,plain,
( $false
| ~ spl2_1
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f13342,f60]) ).
thf(f13349,plain,
( ~ spl2_1
| ~ spl2_406 ),
inference(avatar_contradiction_clause,[],[f13348]) ).
thf(f13356,plain,
( $false
| ~ spl2_171
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f4928,f4127]) ).
thf(f13357,plain,
( ~ spl2_171
| ~ spl2_209 ),
inference(avatar_contradiction_clause,[],[f13356]) ).
thf(f13387,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f102,f79]) ).
thf(f13388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f13387]) ).
thf(f13394,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_1
| ~ spl2_308 ),
inference(constrained_superposition,[],[f12692,f7332]) ).
thf(f13401,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f13394]) ).
thf(f13402,plain,
( spl2_393
| ~ spl2_1
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f13401,f7331,f59,f10919]) ).
thf(f13455,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_335 ),
inference(constrained_superposition,[],[f7737,f60]) ).
thf(f13462,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f13455]) ).
thf(f13472,plain,
( $false
| ~ spl2_1
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f13462,f60]) ).
thf(f13473,plain,
( ~ spl2_1
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f13472]) ).
thf(f13478,plain,
( ~ spl2_211
| spl2_191
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f13328,f13064,f4437,f4941]) ).
thf(f13479,plain,
( spl2_191
| ~ spl2_427
| ~ spl2_410 ),
inference(avatar_split_clause,[],[f13290,f12254,f13277,f4437]) ).
thf(f13481,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_164 ),
inference(extensionality_resolution,[],[f80,f7249]) ).
thf(f13482,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_164 ),
inference(extensionality_resolution,[],[f80,f7249]) ).
thf(f13483,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_164 ),
inference(extensionality_resolution,[],[f55,f7249]) ).
thf(f13486,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_164 ),
inference(extensionality_resolution,[],[f51,f7249]) ).
thf(f13489,plain,
( spl2_313
| spl2_314
| spl2_164 ),
inference(avatar_split_clause,[],[f13481,f4044,f7352,f7349]) ).
thf(f13490,plain,
( spl2_312
| spl2_311
| spl2_164 ),
inference(avatar_split_clause,[],[f13482,f4044,f7342,f7345]) ).
thf(f13497,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_427 ),
inference(constrained_superposition,[],[f13278,f29]) ).
thf(f13500,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_427 ),
inference(trivial_inequality_removal,[],[f13497]) ).
thf(f13504,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_168
| spl2_427 ),
inference(forward_subsumption_resolution,[],[f13500,f6322]) ).
thf(f13507,plain,
( $false
| spl2_164
| spl2_168
| spl2_427 ),
inference(forward_subsumption_resolution,[],[f13504,f7249]) ).
thf(f13508,plain,
( spl2_164
| spl2_168
| spl2_427 ),
inference(avatar_contradiction_clause,[],[f13507]) ).
thf(f13526,plain,
( $false
| ~ spl2_9
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f4438,f142]) ).
thf(f13527,plain,
( ~ spl2_9
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f13526]) ).
thf(f13542,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_357 ),
inference(constrained_superposition,[],[f8078,f79]) ).
thf(f13545,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_357 ),
inference(trivial_inequality_removal,[],[f13542]) ).
thf(f13548,plain,
( $false
| ~ spl2_9
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f12326,f142]) ).
thf(f13549,plain,
( ~ spl2_9
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f13548]) ).
thf(f13579,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_174
| ~ spl2_314 ),
inference(constrained_superposition,[],[f5140,f7353]) ).
thf(f13591,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_174
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f13579]) ).
thf(f13601,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_322 ),
inference(constrained_superposition,[],[f7563,f60]) ).
thf(f13607,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_1
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f13601]) ).
thf(f13612,plain,
( $false
| ~ spl2_1
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f13607,f60]) ).
thf(f13613,plain,
( ~ spl2_1
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f13612]) ).
thf(f13635,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_415 ),
inference(constrained_superposition,[],[f12410,f78]) ).
thf(f13637,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_415 ),
inference(constrained_superposition,[],[f12410,f1446]) ).
thf(f13640,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_415 ),
inference(trivial_inequality_removal,[],[f13637]) ).
thf(f13641,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_415 ),
inference(trivial_inequality_removal,[],[f13635]) ).
thf(f13683,plain,
( spl2_308
| spl2_309
| spl2_164 ),
inference(avatar_split_clause,[],[f13486,f4044,f7334,f7331]) ).
thf(f13685,definition,
( spl2_432
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_432])],[avatar_definition]) ).
thf(f13686,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_432 ),
inference(avatar_component_clause,[],[f13685]) ).
thf(f13688,plain,
( spl2_432
| ~ spl2_309
| ~ spl2_415 ),
inference(avatar_split_clause,[],[f13640,f12409,f7334,f13685]) ).
thf(f13689,plain,
( ~ spl2_190
| spl2_414
| ~ spl2_174
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f13591,f7352,f4143,f12325,f4434]) ).
thf(f13690,plain,
( spl2_347
| spl2_357 ),
inference(avatar_split_clause,[],[f13545,f8077,f7839]) ).
thf(f13691,plain,
( spl2_414
| ~ spl2_190
| ~ spl2_415 ),
inference(avatar_split_clause,[],[f13641,f12409,f4434,f12325]) ).
thf(f13775,plain,
( $false
| ~ spl2_347
| ~ spl2_408 ),
inference(forward_subsumption_resolution,[],[f7840,f12142]) ).
thf(f13776,plain,
( ~ spl2_347
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f13775]) ).
thf(f13796,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_347 ),
inference(constrained_superposition,[],[f258,f7840]) ).
thf(f13800,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f13796]) ).
thf(f13806,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f63,f29]) ).
thf(f13807,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(constrained_superposition,[],[f63,f4144]) ).
thf(f13809,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f13806]) ).
thf(f13810,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f13807]) ).
thf(f13835,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_312 ),
inference(constrained_superposition,[],[f74,f7346]) ).
thf(f13836,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f26,f7346]) ).
thf(f13837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f13836]) ).
thf(f13838,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f13835]) ).
thf(f13839,plain,
( spl2_323
| spl2_335
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f13837,f7345,f7736,f7565]) ).
thf(f13874,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_195
| ~ spl2_308 ),
inference(constrained_superposition,[],[f4483,f7332]) ).
thf(f13879,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_195
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f13874]) ).
thf(f13940,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_163
| ~ spl2_335 ),
inference(constrained_superposition,[],[f7737,f4040]) ).
thf(f13944,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f13940]) ).
thf(f13946,plain,
( $false
| ~ spl2_163
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f13944,f4040]) ).
thf(f13947,plain,
( ~ spl2_163
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f13946]) ).
thf(f13967,definition,
( spl2_437
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_437])],[avatar_definition]) ).
thf(f13968,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_437 ),
inference(avatar_component_clause,[],[f13967]) ).
thf(f13973,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f4037,f49]) ).
thf(f13975,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f4037,f78]) ).
thf(f13978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f13975]) ).
thf(f13979,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f13973]) ).
thf(f14135,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_210 ),
inference(avatar_component_clause,[],[f4930]) ).
thf(f15129,definition,
( spl2_496
<=> ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_496])],[avatar_definition]) ).
thf(f15130,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_496 ),
inference(avatar_component_clause,[],[f15129]) ).
thf(f15159,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_330
| ~ spl2_335 ),
inference(constrained_superposition,[],[f7737,f7693]) ).
thf(f15160,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_330
| ~ spl2_406 ),
inference(constrained_superposition,[],[f11985,f7693]) ).
thf(f15169,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_330
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f15160]) ).
thf(f15171,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_330
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f15159]) ).
thf(f15174,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_160 ),
inference(avatar_component_clause,[],[f4028]) ).
thf(f15175,plain,
( ~ spl2_160
| spl2_332
| ~ spl2_330
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f15169,f11984,f7692,f7701,f4028]) ).
thf(f15178,definition,
( spl2_500
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_500])],[avatar_definition]) ).
thf(f15179,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_500 ),
inference(avatar_component_clause,[],[f15178]) ).
thf(f15180,plain,
( spl2_332
| ~ spl2_500
| ~ spl2_330
| ~ spl2_335 ),
inference(avatar_split_clause,[],[f15171,f7736,f7692,f15178,f7701]) ).
thf(f15968,definition,
( spl2_508
<=> ! [X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_508])],[avatar_definition]) ).
thf(f15969,plain,
( ! [X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_508 ),
inference(avatar_component_clause,[],[f15968]) ).
thf(f16027,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_230
| ~ spl2_367 ),
inference(constrained_superposition,[],[f5414,f8793]) ).
thf(f16032,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_230
| ~ spl2_367 ),
inference(duplicate_literal_removal,[],[f16027]) ).
thf(f16033,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_230
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f16032]) ).
thf(f16050,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_230
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f16033,f48]) ).
thf(f16062,plain,
( spl2_186
| ~ spl2_230
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f16050,f8792,f5413,f4358]) ).
thf(f16323,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_500 ),
inference(avatar_component_clause,[],[f15178]) ).
thf(f16363,definition,
( spl2_521
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_521])],[avatar_definition]) ).
thf(f16364,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_521 ),
inference(avatar_component_clause,[],[f16363]) ).
thf(f16366,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308
| ~ spl2_332 ),
inference(constrained_superposition,[],[f7332,f7702]) ).
thf(f16390,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_332 ),
inference(constrained_superposition,[],[f78,f7702]) ).
thf(f16395,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_332 ),
inference(constrained_superposition,[],[f1446,f7702]) ).
thf(f16396,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77
| ~ spl2_332 ),
inference(constrained_superposition,[],[f1606,f7702]) ).
thf(f16397,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| ~ spl2_332 ),
inference(constrained_superposition,[],[f4032,f7702]) ).
thf(f16398,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_174
| ~ spl2_332 ),
inference(constrained_superposition,[],[f4144,f7702]) ).
thf(f16456,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77
| ~ spl2_332 ),
inference(duplicate_literal_removal,[],[f16396]) ).
thf(f16460,plain,
( $false
| spl2_173
| ~ spl2_174
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16398,f7280]) ).
thf(f16461,plain,
( spl2_173
| ~ spl2_174
| ~ spl2_332 ),
inference(avatar_contradiction_clause,[],[f16460]) ).
thf(f16462,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| spl2_209
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16397,f5184]) ).
thf(f16463,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_210
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16395,f14135]) ).
thf(f16464,plain,
( $false
| spl2_168
| ~ spl2_308
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16366,f6322]) ).
thf(f16465,plain,
( spl2_168
| ~ spl2_308
| ~ spl2_332 ),
inference(avatar_contradiction_clause,[],[f16464]) ).
thf(f16483,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_11
| ~ spl2_77
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16456,f158]) ).
thf(f16486,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_145
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16390,f3418]) ).
thf(f16491,plain,
( ~ spl2_211
| ~ spl2_161
| spl2_209
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f16462,f7701,f4927,f4031,f4941]) ).
thf(f16492,plain,
( $false
| spl2_209
| spl2_210
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16463,f5184]) ).
thf(f16493,plain,
( spl2_209
| spl2_210
| ~ spl2_332 ),
inference(avatar_contradiction_clause,[],[f16492]) ).
thf(f16501,plain,
( spl2_421
| spl2_11
| ~ spl2_77
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f16483,f7701,f1605,f157,f12628]) ).
thf(f16503,plain,
( $false
| spl2_11
| spl2_145
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16486,f158]) ).
thf(f16504,plain,
( spl2_11
| spl2_145
| ~ spl2_332 ),
inference(avatar_contradiction_clause,[],[f16503]) ).
thf(f16534,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_16
| spl2_168 ),
inference(constrained_superposition,[],[f6322,f245]) ).
thf(f16535,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_16
| ~ spl2_195 ),
inference(constrained_superposition,[],[f4483,f245]) ).
thf(f16536,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_335 ),
inference(constrained_superposition,[],[f7737,f245]) ).
thf(f16542,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f16536]) ).
thf(f16543,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f16535]) ).
thf(f16546,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_16
| spl2_168 ),
inference(trivial_inequality_removal,[],[f16534]) ).
thf(f16548,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_191 ),
inference(avatar_component_clause,[],[f4437]) ).
thf(f16549,plain,
( spl2_344
| ~ spl2_191
| ~ spl2_16
| ~ spl2_335 ),
inference(avatar_split_clause,[],[f16542,f7736,f244,f4437,f7826]) ).
thf(f16550,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_16
| spl2_164
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f16543,f7249]) ).
thf(f16553,plain,
( $false
| ~ spl2_16
| spl2_164
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f16546,f7249]) ).
thf(f16554,plain,
( ~ spl2_16
| spl2_164
| spl2_168 ),
inference(avatar_contradiction_clause,[],[f16553]) ).
thf(f16555,plain,
( $false
| ~ spl2_7
| ~ spl2_16
| spl2_164
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f16550,f111]) ).
thf(f16556,plain,
( ~ spl2_7
| ~ spl2_16
| spl2_164
| ~ spl2_195 ),
inference(avatar_contradiction_clause,[],[f16555]) ).
thf(f16635,plain,
( $false
| ~ spl2_195
| ~ spl2_308
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f9154,f13879]) ).
thf(f16636,plain,
( ~ spl2_195
| ~ spl2_308
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f16635]) ).
thf(f17218,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f13809,f29]) ).
thf(f17222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f17218]) ).
thf(f17900,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_340 ),
inference(avatar_component_clause,[],[f7755]) ).
thf(f17902,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_332 ),
inference(avatar_component_clause,[],[f7701]) ).
thf(f17904,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_332 ),
inference(extensionality_resolution,[],[f80,f17902]) ).
thf(f17905,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_332 ),
inference(extensionality_resolution,[],[f80,f17902]) ).
thf(f17906,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_332 ),
inference(extensionality_resolution,[],[f55,f17902]) ).
thf(f17909,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_332 ),
inference(extensionality_resolution,[],[f51,f17902]) ).
thf(f17912,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_332
| spl2_334 ),
inference(forward_subsumption_resolution,[],[f17909,f7733]) ).
thf(f17914,definition,
( spl2_532
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_532])],[avatar_definition]) ).
thf(f17915,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_532 ),
inference(avatar_component_clause,[],[f17914]) ).
thf(f17917,definition,
( spl2_533
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_533])],[avatar_definition]) ).
thf(f17918,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_533 ),
inference(avatar_component_clause,[],[f17917]) ).
thf(f17919,plain,
( spl2_532
| spl2_533
| spl2_332 ),
inference(avatar_split_clause,[],[f17905,f7701,f17917,f17914]) ).
thf(f17921,definition,
( spl2_534
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_534])],[avatar_definition]) ).
thf(f17922,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_534 ),
inference(avatar_component_clause,[],[f17921]) ).
thf(f17924,definition,
( spl2_535
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_535])],[avatar_definition]) ).
thf(f17925,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_535 ),
inference(avatar_component_clause,[],[f17924]) ).
thf(f17926,plain,
( spl2_534
| spl2_535
| spl2_332 ),
inference(avatar_split_clause,[],[f17904,f7701,f17924,f17921]) ).
thf(f17936,definition,
( spl2_536
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_536])],[avatar_definition]) ).
thf(f17937,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_536 ),
inference(avatar_component_clause,[],[f17936]) ).
thf(f17939,definition,
( spl2_537
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_537])],[avatar_definition]) ).
thf(f17940,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_537 ),
inference(avatar_component_clause,[],[f17939]) ).
thf(f17943,definition,
( spl2_538
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_538])],[avatar_definition]) ).
thf(f17944,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_538 ),
inference(avatar_component_clause,[],[f17943]) ).
thf(f17946,definition,
( spl2_539
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_539])],[avatar_definition]) ).
thf(f17947,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_539 ),
inference(avatar_component_clause,[],[f17946]) ).
thf(f17953,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| spl2_332
| spl2_334 ),
inference(constrained_superposition,[],[f4083,f17912]) ).
thf(f17958,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_268
| spl2_332
| spl2_334 ),
inference(constrained_superposition,[],[f6025,f17912]) ).
thf(f17970,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| spl2_332
| spl2_334 ),
inference(trivial_inequality_removal,[],[f17953]) ).
thf(f17971,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_268
| spl2_332
| spl2_334 ),
inference(trivial_inequality_removal,[],[f17958]) ).
thf(f17990,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_268
| spl2_332
| spl2_334 ),
inference(forward_subsumption_resolution,[],[f17971,f48]) ).
thf(f18003,plain,
( $false
| ~ spl2_17
| ~ spl2_268
| spl2_332
| spl2_334
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f17990,f13800]) ).
thf(f18004,plain,
( ~ spl2_17
| ~ spl2_268
| spl2_332
| spl2_334
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f18003]) ).
thf(f18017,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| spl2_332
| spl2_334 ),
inference(constrained_superposition,[],[f17970,f29]) ).
thf(f18020,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| spl2_332
| spl2_334 ),
inference(trivial_inequality_removal,[],[f18017]) ).
thf(f18023,plain,
( spl2_344
| spl2_414
| ~ spl2_169
| spl2_332
| spl2_334 ),
inference(avatar_split_clause,[],[f18020,f7732,f7701,f4082,f12325,f7826]) ).
thf(f18056,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_174
| ~ spl2_533 ),
inference(constrained_superposition,[],[f13810,f17918]) ).
thf(f18057,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_533 ),
inference(constrained_superposition,[],[f13388,f17918]) ).
thf(f18073,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f18057]) ).
thf(f18074,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_174
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f18056]) ).
thf(f18090,definition,
( spl2_542
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_542])],[avatar_definition]) ).
thf(f18091,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_542 ),
inference(avatar_component_clause,[],[f18090]) ).
thf(f18099,definition,
( spl2_544
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_544])],[avatar_definition]) ).
thf(f18100,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_544 ),
inference(avatar_component_clause,[],[f18099]) ).
thf(f18101,plain,
( ~ spl2_190
| spl2_544
| ~ spl2_5
| ~ spl2_533 ),
inference(avatar_split_clause,[],[f18073,f17917,f101,f18099,f4434]) ).
thf(f18102,plain,
( $false
| ~ spl2_2
| ~ spl2_174
| ~ spl2_533 ),
inference(forward_subsumption_resolution,[],[f18074,f4144]) ).
thf(f18103,plain,
( ~ spl2_2
| ~ spl2_174
| ~ spl2_533 ),
inference(avatar_contradiction_clause,[],[f18102]) ).
thf(f18112,definition,
( spl2_546
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_546])],[avatar_definition]) ).
thf(f18113,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_546 ),
inference(avatar_component_clause,[],[f18112]) ).
thf(f18127,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_532 ),
inference(constrained_superposition,[],[f74,f17915]) ).
thf(f18130,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f18127]) ).
thf(f18133,definition,
( spl2_548
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_548])],[avatar_definition]) ).
thf(f18134,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_548 ),
inference(avatar_component_clause,[],[f18133]) ).
thf(f18143,definition,
( spl2_550
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_550])],[avatar_definition]) ).
thf(f18144,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_550 ),
inference(avatar_component_clause,[],[f18143]) ).
thf(f18190,definition,
( spl2_551
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_551])],[avatar_definition]) ).
thf(f18191,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_551 ),
inference(avatar_component_clause,[],[f18190]) ).
thf(f18192,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_351 ),
inference(avatar_component_clause,[],[f8046]) ).
thf(f18207,definition,
( spl2_555
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_555])],[avatar_definition]) ).
thf(f18208,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_555 ),
inference(avatar_component_clause,[],[f18207]) ).
thf(f18220,definition,
( spl2_558
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_558])],[avatar_definition]) ).
thf(f18221,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_558 ),
inference(avatar_component_clause,[],[f18220]) ).
thf(f18226,definition,
( spl2_559
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_559])],[avatar_definition]) ).
thf(f18227,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_559 ),
inference(avatar_component_clause,[],[f18226]) ).
thf(f18229,definition,
( spl2_560
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_560])],[avatar_definition]) ).
thf(f18230,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_560 ),
inference(avatar_component_clause,[],[f18229]) ).
thf(f18243,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_351 ),
inference(constrained_superposition,[],[f18192,f1446]) ).
thf(f18245,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_351 ),
inference(constrained_superposition,[],[f18192,f51]) ).
thf(f18247,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_351 ),
inference(trivial_inequality_removal,[],[f18245]) ).
thf(f18248,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_351 ),
inference(trivial_inequality_removal,[],[f18243]) ).
thf(f18251,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_164
| spl2_351 ),
inference(forward_subsumption_resolution,[],[f18247,f7249]) ).
thf(f18252,plain,
( spl2_500
| spl2_351 ),
inference(avatar_split_clause,[],[f18248,f8046,f15178]) ).
thf(f18255,plain,
( spl2_500
| spl2_164
| spl2_351 ),
inference(avatar_split_clause,[],[f18251,f8046,f4044,f15178]) ).
thf(f18269,definition,
( spl2_561
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_561])],[avatar_definition]) ).
thf(f18270,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_561 ),
inference(avatar_component_clause,[],[f18269]) ).
thf(f18293,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_537 ),
inference(constrained_superposition,[],[f17222,f17940]) ).
thf(f18308,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_2
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f18293]) ).
thf(f18329,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f18308,f48]) ).
thf(f18331,definition,
( spl2_564
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_564])],[avatar_definition]) ).
thf(f18332,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_564 ),
inference(avatar_component_clause,[],[f18331]) ).
thf(f18338,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f18329,f48]) ).
thf(f18339,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_17
| ~ spl2_347
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f18338,f13800]) ).
thf(f18340,plain,
( spl2_559
| ~ spl2_2
| ~ spl2_17
| ~ spl2_347
| ~ spl2_537 ),
inference(avatar_split_clause,[],[f18339,f17939,f7839,f257,f62,f18226]) ).
thf(f18342,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_335
| ~ spl2_536 ),
inference(constrained_superposition,[],[f7737,f17937]) ).
thf(f18347,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_335
| ~ spl2_536 ),
inference(trivial_inequality_removal,[],[f18342]) ).
thf(f18350,plain,
( $false
| ~ spl2_335
| ~ spl2_532
| ~ spl2_536 ),
inference(forward_subsumption_resolution,[],[f18347,f17915]) ).
thf(f18351,plain,
( ~ spl2_335
| ~ spl2_532
| ~ spl2_536 ),
inference(avatar_contradiction_clause,[],[f18350]) ).
thf(f18353,definition,
( spl2_565
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_565])],[avatar_definition]) ).
thf(f18354,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_565 ),
inference(avatar_component_clause,[],[f18353]) ).
thf(f18358,definition,
( spl2_566
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_566])],[avatar_definition]) ).
thf(f18359,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_566 ),
inference(avatar_component_clause,[],[f18358]) ).
thf(f18360,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f7732]) ).
thf(f18361,plain,
( spl2_566
| spl2_334
| spl2_332 ),
inference(avatar_split_clause,[],[f17909,f7701,f7732,f18358]) ).
thf(f18362,plain,
( spl2_5
| spl2_168
| spl2_164 ),
inference(avatar_split_clause,[],[f13483,f4044,f4079,f101]) ).
thf(f18365,plain,
( spl2_191
| spl2_5
| spl2_332 ),
inference(avatar_split_clause,[],[f17906,f7701,f101,f4437]) ).
thf(f18388,plain,
( ( $true != $true )
| ~ spl2_171
| ~ spl2_500 ),
inference(constrained_superposition,[],[f4127,f16323]) ).
thf(f18389,plain,
( ( $true != $true )
| ~ spl2_76
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4127,f1600]) ).
thf(f18391,plain,
( $false
| ~ spl2_171
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f18388]) ).
thf(f18392,plain,
( ~ spl2_171
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f18391]) ).
thf(f18395,plain,
( $false
| ~ spl2_76
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f18389]) ).
thf(f18396,plain,
( ~ spl2_76
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f18395]) ).
thf(f18398,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_312
| ~ spl2_340 ),
inference(constrained_superposition,[],[f7346,f7756]) ).
thf(f18401,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_340
| ~ spl2_532 ),
inference(constrained_superposition,[],[f17915,f7756]) ).
thf(f18403,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_340 ),
inference(constrained_superposition,[],[f1446,f7756]) ).
thf(f18404,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| ~ spl2_340 ),
inference(constrained_superposition,[],[f4032,f7756]) ).
thf(f18470,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_209
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f18403,f5184]) ).
thf(f18472,plain,
( spl2_308
| ~ spl2_312
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f18398,f7755,f7345,f7331]) ).
thf(f18473,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| spl2_209
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f18404,f5184]) ).
thf(f18477,plain,
( spl2_334
| ~ spl2_340
| ~ spl2_532 ),
inference(avatar_split_clause,[],[f18401,f17914,f7755,f7732]) ).
thf(f18479,plain,
( $false
| spl2_209
| spl2_210
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f18470,f14135]) ).
thf(f18480,plain,
( spl2_209
| spl2_210
| ~ spl2_340 ),
inference(avatar_contradiction_clause,[],[f18479]) ).
thf(f18481,plain,
( ~ spl2_211
| ~ spl2_161
| spl2_209
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f18473,f7755,f4927,f4031,f4941]) ).
thf(f18487,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_340 ),
inference(extensionality_resolution,[],[f51,f17900]) ).
thf(f18607,plain,
( ( $true != $true )
| ~ spl2_313
| ~ spl2_323 ),
inference(constrained_superposition,[],[f7566,f7350]) ).
thf(f18608,plain,
( ( $true != $true )
| ~ spl2_323
| ~ spl2_535 ),
inference(constrained_superposition,[],[f7566,f17925]) ).
thf(f18610,plain,
( $false
| ~ spl2_313
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f18607]) ).
thf(f18611,plain,
( ~ spl2_313
| ~ spl2_323 ),
inference(avatar_contradiction_clause,[],[f18610]) ).
thf(f18612,plain,
( $false
| ~ spl2_323
| ~ spl2_535 ),
inference(trivial_inequality_removal,[],[f18608]) ).
thf(f18613,plain,
( ~ spl2_323
| ~ spl2_535 ),
inference(avatar_contradiction_clause,[],[f18612]) ).
thf(f18623,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_323
| spl2_340 ),
inference(forward_subsumption_resolution,[],[f18487,f7566]) ).
thf(f18624,plain,
( $false
| ~ spl2_171
| ~ spl2_432 ),
inference(forward_subsumption_resolution,[],[f13686,f4127]) ).
thf(f18625,plain,
( ~ spl2_171
| ~ spl2_432 ),
inference(avatar_contradiction_clause,[],[f18624]) ).
thf(f18627,plain,
( spl2_314
| ~ spl2_323
| spl2_340 ),
inference(avatar_split_clause,[],[f18623,f7755,f7565,f7352]) ).
thf(f18628,plain,
( $false
| ~ spl2_323
| ~ spl2_327 ),
inference(forward_subsumption_resolution,[],[f7677,f7566]) ).
thf(f18629,plain,
( ~ spl2_323
| ~ spl2_327 ),
inference(avatar_contradiction_clause,[],[f18628]) ).
thf(f18630,plain,
( $false
| ~ spl2_6
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f6322,f105]) ).
thf(f18631,plain,
( ~ spl2_6
| spl2_168 ),
inference(avatar_contradiction_clause,[],[f18630]) ).
thf(f18651,plain,
( ( $true != $true )
| ~ spl2_13
| spl2_160 ),
inference(constrained_superposition,[],[f15174,f187]) ).
thf(f18652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_13
| ~ spl2_17 ),
inference(constrained_superposition,[],[f258,f187]) ).
thf(f18656,plain,
( $false
| ~ spl2_13
| spl2_160 ),
inference(trivial_inequality_removal,[],[f18651]) ).
thf(f18657,plain,
( ~ spl2_13
| spl2_160 ),
inference(avatar_contradiction_clause,[],[f18656]) ).
thf(f18659,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_13
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f18652]) ).
thf(f18662,plain,
( spl2_325
| ~ spl2_13
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f18659,f257,f186,f7629]) ).
thf(f18700,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f74,f4438]) ).
thf(f18703,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f18700]) ).
thf(f18708,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f3297,f1446]) ).
thf(f18710,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f18708]) ).
thf(f18715,plain,
( spl2_500
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f18710,f3296,f15178]) ).
thf(f18716,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_310 ),
inference(constrained_superposition,[],[f7339,f49]) ).
thf(f18718,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_310 ),
inference(trivial_inequality_removal,[],[f18716]) ).
thf(f18720,plain,
( spl2_521
| spl2_310 ),
inference(avatar_split_clause,[],[f18718,f7338,f16363]) ).
thf(f18727,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_327 ),
inference(constrained_superposition,[],[f258,f7677]) ).
thf(f18728,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_327 ),
inference(constrained_superposition,[],[f74,f7677]) ).
thf(f18730,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f18728]) ).
thf(f18732,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f18727]) ).
thf(f18735,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_327 ),
inference(constrained_superposition,[],[f18732,f50]) ).
thf(f18737,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f18735]) ).
thf(f18742,plain,
( ( $true != $true )
| ~ spl2_312
| ~ spl2_408 ),
inference(constrained_superposition,[],[f12142,f7346]) ).
thf(f18744,plain,
( $false
| ~ spl2_312
| ~ spl2_408 ),
inference(trivial_inequality_removal,[],[f18742]) ).
thf(f18745,plain,
( ~ spl2_312
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f18744]) ).
thf(f18763,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_162
| ~ spl2_309 ),
inference(constrained_superposition,[],[f4037,f7335]) ).
thf(f18764,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_309 ),
inference(constrained_superposition,[],[f4083,f7335]) ).
thf(f18765,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f165,f7335]) ).
thf(f18771,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f195,f7335]) ).
thf(f18776,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f18765]) ).
thf(f18777,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f18771]) ).
thf(f18778,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f18763]) ).
thf(f18784,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f18764]) ).
thf(f18790,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_160
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f18776,f15174]) ).
thf(f18792,plain,
( spl2_326
| ~ spl2_162
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f18778,f7334,f4036,f7672]) ).
thf(f18797,plain,
( ~ spl2_558
| ~ spl2_169
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f18784,f7334,f4082,f18220]) ).
thf(f18798,plain,
( spl2_326
| spl2_160
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f18790,f7334,f4028,f7672]) ).
thf(f18802,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_558 ),
inference(constrained_superposition,[],[f18221,f29]) ).
thf(f18805,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_558 ),
inference(trivial_inequality_removal,[],[f18802]) ).
thf(f18863,definition,
( spl2_572
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_572])],[avatar_definition]) ).
thf(f18864,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_572 ),
inference(avatar_component_clause,[],[f18863]) ).
thf(f18882,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_230
| ~ spl2_559 ),
inference(constrained_superposition,[],[f5414,f18227]) ).
thf(f18884,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_230
| ~ spl2_559 ),
inference(trivial_inequality_removal,[],[f18882]) ).
thf(f18888,definition,
( spl2_573
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_573])],[avatar_definition]) ).
thf(f18889,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_573 ),
inference(avatar_component_clause,[],[f18888]) ).
thf(f18890,plain,
( spl2_573
| spl2_550
| ~ spl2_230
| ~ spl2_559 ),
inference(avatar_split_clause,[],[f18884,f18226,f5413,f18143,f18888]) ).
thf(f18897,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_550 ),
inference(constrained_superposition,[],[f1446,f18144]) ).
thf(f18899,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_161
| ~ spl2_550 ),
inference(constrained_superposition,[],[f4032,f18144]) ).
thf(f18946,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_161
| spl2_209
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f18899,f5184]) ).
thf(f18947,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_209
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f18897,f5184]) ).
thf(f18951,plain,
( ~ spl2_211
| ~ spl2_161
| spl2_209
| ~ spl2_550 ),
inference(avatar_split_clause,[],[f18946,f18143,f4927,f4031,f4941]) ).
thf(f18952,plain,
( $false
| spl2_209
| spl2_210
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f18947,f14135]) ).
thf(f18953,plain,
( spl2_209
| spl2_210
| ~ spl2_550 ),
inference(avatar_contradiction_clause,[],[f18952]) ).
thf(f18964,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_573 ),
inference(constrained_superposition,[],[f79,f18889]) ).
thf(f19011,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_11
| ~ spl2_573 ),
inference(forward_subsumption_resolution,[],[f18964,f158]) ).
thf(f19023,plain,
( $false
| spl2_11
| spl2_145
| ~ spl2_573 ),
inference(forward_subsumption_resolution,[],[f19011,f3418]) ).
thf(f19024,plain,
( spl2_11
| spl2_145
| ~ spl2_573 ),
inference(avatar_contradiction_clause,[],[f19023]) ).
thf(f19048,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_260 ),
inference(constrained_superposition,[],[f5993,f1446]) ).
thf(f19050,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_260
| ~ spl2_309 ),
inference(constrained_superposition,[],[f5993,f7335]) ).
thf(f19059,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f19048]) ).
thf(f19060,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_260
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f19050]) ).
thf(f19067,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_12
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f19059,f161]) ).
thf(f19068,plain,
( $false
| ~ spl2_12
| ~ spl2_260
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f19060,f161]) ).
thf(f19069,plain,
( ~ spl2_12
| ~ spl2_260
| ~ spl2_309 ),
inference(avatar_contradiction_clause,[],[f19068]) ).
thf(f19070,plain,
( spl2_163
| ~ spl2_12
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f19067,f5992,f160,f4039]) ).
thf(f19073,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_559 ),
inference(avatar_component_clause,[],[f18226]) ).
thf(f19075,definition,
( spl2_574
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_574])],[avatar_definition]) ).
thf(f19076,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_574 ),
inference(avatar_component_clause,[],[f19075]) ).
thf(f19077,plain,
( ~ spl2_559
| spl2_574
| ~ spl2_4
| ~ spl2_532 ),
inference(avatar_split_clause,[],[f18130,f17914,f73,f19075,f18226]) ).
thf(f19079,definition,
( spl2_575
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_575])],[avatar_definition]) ).
thf(f19080,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_575 ),
inference(avatar_component_clause,[],[f19079]) ).
thf(f19081,plain,
( ~ spl2_575
| spl2_574
| ~ spl2_4
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f13838,f7345,f73,f19075,f19079]) ).
thf(f19096,plain,
( spl2_574
| ~ spl2_17
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f18737,f7676,f257,f19075]) ).
thf(f19135,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_559 ),
inference(constrained_superposition,[],[f19073,f50]) ).
thf(f19137,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_559 ),
inference(trivial_inequality_removal,[],[f19135]) ).
thf(f19161,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_296
| ~ spl2_351 ),
inference(constrained_superposition,[],[f7256,f8047]) ).
thf(f19169,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_296
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f19161]) ).
thf(f19174,plain,
( $false
| ~ spl2_296
| ~ spl2_351
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f19169,f19076]) ).
thf(f19175,plain,
( ~ spl2_296
| ~ spl2_351
| ~ spl2_574 ),
inference(avatar_contradiction_clause,[],[f19174]) ).
thf(f19176,plain,
( spl2_76
| spl2_410
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f18777,f7334,f12254,f1599]) ).
thf(f19202,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_334 ),
inference(constrained_superposition,[],[f74,f18360]) ).
thf(f19205,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f19202]) ).
thf(f19208,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_173
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f19205,f7280]) ).
thf(f19210,plain,
( ~ spl2_575
| ~ spl2_4
| spl2_173
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f19208,f7732,f4133,f73,f19079]) ).
thf(f19211,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_575 ),
inference(constrained_superposition,[],[f19080,f50]) ).
thf(f19213,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_575 ),
inference(trivial_inequality_removal,[],[f19211]) ).
thf(f19222,definition,
( spl2_580
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_580])],[avatar_definition]) ).
thf(f19223,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_580 ),
inference(avatar_component_clause,[],[f19222]) ).
thf(f19254,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_191
| ~ spl2_393 ),
inference(constrained_superposition,[],[f10920,f4438]) ).
thf(f19259,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_191
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f19254]) ).
thf(f19262,plain,
( $false
| ~ spl2_7
| ~ spl2_191
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f19259,f111]) ).
thf(f19263,plain,
( ~ spl2_7
| ~ spl2_191
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f19262]) ).
thf(f19283,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_574 ),
inference(constrained_superposition,[],[f63,f19076]) ).
thf(f19284,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| spl2_559 ),
inference(constrained_superposition,[],[f63,f19137]) ).
thf(f19286,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f19283]) ).
thf(f19287,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| spl2_559 ),
inference(trivial_inequality_removal,[],[f19284]) ).
thf(f19291,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_309
| ~ spl2_574 ),
inference(constrained_superposition,[],[f19286,f7335]) ).
thf(f19302,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_309
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f19291]) ).
thf(f19344,plain,
( ~ spl2_173
| ~ spl2_2
| ~ spl2_309
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f19302,f19075,f7334,f62,f4133]) ).
thf(f19346,definition,
( spl2_581
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_581])],[avatar_definition]) ).
thf(f19347,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_581 ),
inference(avatar_component_clause,[],[f19346]) ).
thf(f19354,plain,
( spl2_581
| spl2_575 ),
inference(avatar_split_clause,[],[f19213,f19079,f19346]) ).
thf(f19355,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_2
| ~ spl2_581 ),
inference(constrained_superposition,[],[f63,f19347]) ).
thf(f19368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f19355]) ).
thf(f19385,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_313 ),
inference(constrained_superposition,[],[f74,f7350]) ).
thf(f19387,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f19385]) ).
thf(f19407,definition,
( spl2_582
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_582])],[avatar_definition]) ).
thf(f19408,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_582 ),
inference(avatar_component_clause,[],[f19407]) ).
thf(f19411,plain,
( ( $true != $true )
| ~ spl2_532
| ~ spl2_561 ),
inference(constrained_superposition,[],[f18270,f17915]) ).
thf(f19414,plain,
( $false
| ~ spl2_532
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f19411]) ).
thf(f19415,plain,
( ~ spl2_532
| ~ spl2_561 ),
inference(avatar_contradiction_clause,[],[f19414]) ).
thf(f19423,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_312
| ~ spl2_322 ),
inference(constrained_superposition,[],[f7563,f7346]) ).
thf(f19426,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_191
| ~ spl2_322 ),
inference(constrained_superposition,[],[f7563,f4438]) ).
thf(f19429,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_312
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f19423]) ).
thf(f19432,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_191
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f19426]) ).
thf(f19453,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_581 ),
inference(constrained_superposition,[],[f19368,f79]) ).
thf(f19463,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f19453]) ).
thf(f19507,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_534 ),
inference(constrained_superposition,[],[f195,f17922]) ).
thf(f19508,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_534
| ~ spl2_574 ),
inference(constrained_superposition,[],[f19286,f17922]) ).
thf(f19515,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_534 ),
inference(trivial_inequality_removal,[],[f19507]) ).
thf(f19522,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_534
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f19508]) ).
thf(f19529,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_534
| spl2_559 ),
inference(forward_subsumption_resolution,[],[f19515,f19073]) ).
thf(f19531,plain,
( $false
| ~ spl2_2
| ~ spl2_534
| spl2_559
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f19522,f19137]) ).
thf(f19532,plain,
( ~ spl2_2
| ~ spl2_534
| spl2_559
| ~ spl2_574 ),
inference(avatar_contradiction_clause,[],[f19531]) ).
thf(f19534,plain,
( spl2_560
| ~ spl2_534
| spl2_559 ),
inference(avatar_split_clause,[],[f19529,f18226,f17921,f18229]) ).
thf(f19535,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_535 ),
inference(constrained_superposition,[],[f74,f17925]) ).
thf(f19538,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_535 ),
inference(trivial_inequality_removal,[],[f19535]) ).
thf(f19545,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_312
| ~ spl2_317 ),
inference(constrained_superposition,[],[f7414,f7346]) ).
thf(f19551,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_312
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f19545]) ).
thf(f19556,plain,
( $false
| ~ spl2_312
| ~ spl2_317
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f19551,f18360]) ).
thf(f19557,plain,
( ~ spl2_312
| ~ spl2_317
| ~ spl2_334 ),
inference(avatar_contradiction_clause,[],[f19556]) ).
thf(f19589,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_309
| ~ spl2_326 ),
inference(constrained_superposition,[],[f7673,f7335]) ).
thf(f19593,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_326
| ~ spl2_574 ),
inference(constrained_superposition,[],[f7673,f19076]) ).
thf(f19599,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_326
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f19593]) ).
thf(f19601,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_309
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f19589]) ).
thf(f19604,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_410 ),
inference(constrained_superposition,[],[f12255,f49]) ).
thf(f19614,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f19604]) ).
thf(f19622,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_351
| ~ spl2_426 ),
inference(constrained_superposition,[],[f13065,f8047]) ).
thf(f19623,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426 ),
inference(constrained_superposition,[],[f13065,f1446]) ).
thf(f19625,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_351
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f19622]) ).
thf(f19630,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f19623]) ).
thf(f19659,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_551
| ~ spl2_572 ),
inference(constrained_superposition,[],[f18864,f18191]) ).
thf(f19660,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_555
| ~ spl2_572 ),
inference(constrained_superposition,[],[f18864,f18208]) ).
thf(f19665,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_551
| ~ spl2_572 ),
inference(trivial_inequality_removal,[],[f19659]) ).
thf(f19666,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_555
| ~ spl2_572 ),
inference(trivial_inequality_removal,[],[f19660]) ).
thf(f19671,plain,
( $false
| ~ spl2_76
| ~ spl2_551
| ~ spl2_572 ),
inference(forward_subsumption_resolution,[],[f19665,f1600]) ).
thf(f19672,plain,
( ~ spl2_76
| ~ spl2_551
| ~ spl2_572 ),
inference(avatar_contradiction_clause,[],[f19671]) ).
thf(f19673,plain,
( $false
| ~ spl2_7
| ~ spl2_555
| ~ spl2_572 ),
inference(forward_subsumption_resolution,[],[f19666,f111]) ).
thf(f19674,plain,
( ~ spl2_7
| ~ spl2_555
| ~ spl2_572 ),
inference(avatar_contradiction_clause,[],[f19673]) ).
thf(f19703,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_537
| spl2_559 ),
inference(constrained_superposition,[],[f19287,f17940]) ).
thf(f19715,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_537
| spl2_559 ),
inference(trivial_inequality_removal,[],[f19703]) ).
thf(f19727,plain,
( $false
| ~ spl2_2
| ~ spl2_537
| spl2_559
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f19715,f19347]) ).
thf(f19728,plain,
( ~ spl2_2
| ~ spl2_537
| spl2_559
| ~ spl2_581 ),
inference(avatar_contradiction_clause,[],[f19727]) ).
thf(f19749,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_426
| ~ spl2_533 ),
inference(constrained_superposition,[],[f13065,f17918]) ).
thf(f19750,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_410
| ~ spl2_533 ),
inference(constrained_superposition,[],[f12255,f17918]) ).
thf(f19759,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_533
| spl2_559 ),
inference(constrained_superposition,[],[f19287,f17918]) ).
thf(f19770,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_410
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f19750]) ).
thf(f19773,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_426
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f19749]) ).
thf(f19774,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_533
| spl2_559 ),
inference(trivial_inequality_removal,[],[f19759]) ).
thf(f19780,plain,
( ~ spl2_542
| ~ spl2_410
| ~ spl2_533 ),
inference(avatar_split_clause,[],[f19770,f17917,f12254,f18090]) ).
thf(f19782,plain,
( $false
| ~ spl2_2
| ~ spl2_533
| spl2_559
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f19774,f19076]) ).
thf(f19783,plain,
( ~ spl2_2
| ~ spl2_533
| spl2_559
| ~ spl2_574 ),
inference(avatar_contradiction_clause,[],[f19782]) ).
thf(f19792,plain,
( ~ spl2_149
| spl2_521
| ~ spl2_410 ),
inference(avatar_split_clause,[],[f19614,f12254,f16363,f3534]) ).
thf(f19794,definition,
( spl2_589
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_589])],[avatar_definition]) ).
thf(f19795,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_589 ),
inference(avatar_component_clause,[],[f19794]) ).
thf(f19798,definition,
( spl2_590
<=> ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_590])],[avatar_definition]) ).
thf(f19799,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_590 ),
inference(avatar_component_clause,[],[f19798]) ).
thf(f19800,plain,
( spl2_222
| spl2_590
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f13979,f4036,f19798,f5098]) ).
thf(f19804,definition,
( spl2_591
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_591])],[avatar_definition]) ).
thf(f19805,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_591 ),
inference(avatar_component_clause,[],[f19804]) ).
thf(f19807,plain,
( ~ spl2_546
| ~ spl2_426
| ~ spl2_533 ),
inference(avatar_split_clause,[],[f19773,f17917,f13064,f18112]) ).
thf(f19808,plain,
( ~ spl2_149
| ~ spl2_326
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f19599,f19075,f7672,f3534]) ).
thf(f19814,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_377 ),
inference(avatar_component_clause,[],[f9153]) ).
thf(f19815,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_589 ),
inference(avatar_component_clause,[],[f19794]) ).
thf(f19816,plain,
( ~ spl2_377
| spl2_589
| ~ spl2_4
| ~ spl2_535 ),
inference(avatar_split_clause,[],[f19538,f17924,f73,f19794,f9153]) ).
thf(f19818,plain,
( ~ spl2_7
| spl2_574
| ~ spl2_4
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f18703,f4437,f73,f19075,f110]) ).
thf(f19819,plain,
( ~ spl2_377
| spl2_20
| ~ spl2_4
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f18730,f7676,f73,f294,f9153]) ).
thf(f19820,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_312
| ~ spl2_322
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f19463,f19429]) ).
thf(f19823,plain,
( ~ spl2_20
| ~ spl2_2
| ~ spl2_312
| ~ spl2_322
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f19820,f19346,f7562,f7345,f62,f294]) ).
thf(f19825,plain,
( ~ spl2_20
| spl2_347
| ~ spl2_2
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f19463,f19346,f62,f7839,f294]) ).
thf(f19826,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426
| spl2_500 ),
inference(forward_subsumption_resolution,[],[f19630,f15179]) ).
thf(f19829,plain,
( ~ spl2_210
| ~ spl2_351
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f19625,f13064,f8046,f4930]) ).
thf(f19830,plain,
( ~ spl2_210
| ~ spl2_309
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f19601,f7672,f7334,f4930]) ).
thf(f19831,plain,
( ~ spl2_377
| spl2_581
| ~ spl2_4
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f19387,f7349,f73,f19346,f9153]) ).
thf(f19832,plain,
( ~ spl2_210
| ~ spl2_426
| spl2_500 ),
inference(avatar_split_clause,[],[f19826,f15178,f13064,f4930]) ).
thf(f19836,plain,
( spl2_168
| spl2_169
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f13978,f4036,f4082,f4079]) ).
thf(f19843,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_20 ),
inference(constrained_superposition,[],[f63,f4373]) ).
thf(f19856,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_2
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f19843]) ).
thf(f19859,plain,
( spl2_508
| ~ spl2_2
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f19856,f294,f62,f15968]) ).
thf(f19886,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f74,f4080]) ).
thf(f19889,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f19886]) ).
thf(f19891,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_377 ),
inference(constrained_superposition,[],[f19814,f50]) ).
thf(f19894,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_377 ),
inference(trivial_inequality_removal,[],[f19891]) ).
thf(f19896,plain,
( spl2_574
| spl2_377 ),
inference(avatar_split_clause,[],[f19894,f9153,f19075]) ).
thf(f19918,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_408 ),
inference(constrained_superposition,[],[f12142,f50]) ).
thf(f19919,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_408 ),
inference(trivial_inequality_removal,[],[f19918]) ).
thf(f19921,plain,
( spl2_581
| ~ spl2_408 ),
inference(avatar_split_clause,[],[f19919,f12141,f19346]) ).
thf(f19922,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_508 ),
inference(constrained_superposition,[],[f15969,f78]) ).
thf(f19928,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_508 ),
inference(trivial_inequality_removal,[],[f19922]) ).
thf(f19930,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_559 ),
inference(constrained_superposition,[],[f19073,f50]) ).
thf(f19932,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_559 ),
inference(trivial_inequality_removal,[],[f19930]) ).
thf(f19934,plain,
( spl2_589
| spl2_559 ),
inference(avatar_split_clause,[],[f19932,f18226,f19794]) ).
thf(f19937,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_2
| ~ spl2_589 ),
inference(constrained_superposition,[],[f63,f19815]) ).
thf(f19946,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f19937]) ).
thf(f19957,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_309
| ~ spl2_590 ),
inference(constrained_superposition,[],[f19799,f7335]) ).
thf(f19962,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_309
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f19957]) ).
thf(f19964,plain,
( ~ spl2_310
| ~ spl2_309
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f19962,f19798,f7334,f7338]) ).
thf(f20029,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_167
| ~ spl2_168 ),
inference(constrained_superposition,[],[f4066,f4080]) ).
thf(f20030,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_167
| ~ spl2_334 ),
inference(constrained_superposition,[],[f4066,f18360]) ).
thf(f20032,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f20029]) ).
thf(f20034,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f20030]) ).
thf(f20047,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_311
| ~ spl2_410 ),
inference(constrained_superposition,[],[f12255,f7343]) ).
thf(f20061,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_311
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f20047]) ).
thf(f20064,plain,
( $false
| ~ spl2_311
| ~ spl2_410
| ~ spl2_566 ),
inference(forward_subsumption_resolution,[],[f20061,f18359]) ).
thf(f20065,plain,
( ~ spl2_311
| ~ spl2_410
| ~ spl2_566 ),
inference(avatar_contradiction_clause,[],[f20064]) ).
thf(f20080,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_314 ),
inference(constrained_superposition,[],[f165,f7353]) ).
thf(f20083,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314 ),
inference(constrained_superposition,[],[f30,f7353]) ).
thf(f20088,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f20083]) ).
thf(f20090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f20080]) ).
thf(f20095,plain,
( spl2_591
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f20088,f7352,f19804]) ).
thf(f20096,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_167
| ~ spl2_314
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f20090,f20034]) ).
thf(f20098,definition,
( spl2_592
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_592])],[avatar_definition]) ).
thf(f20099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_592 ),
inference(avatar_component_clause,[],[f20098]) ).
thf(f20100,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_575 ),
inference(avatar_component_clause,[],[f19079]) ).
thf(f20103,plain,
( spl2_415
| ~ spl2_167
| ~ spl2_314
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f20096,f7732,f7352,f4065,f12409]) ).
thf(f20106,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_542 ),
inference(constrained_superposition,[],[f18091,f80]) ).
thf(f20111,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_542 ),
inference(trivial_inequality_removal,[],[f20106]) ).
thf(f20113,definition,
( spl2_593
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_593])],[avatar_definition]) ).
thf(f20114,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_593 ),
inference(avatar_component_clause,[],[f20113]) ).
thf(f20117,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_542 ),
inference(forward_subsumption_resolution,[],[f20111,f48]) ).
thf(f20118,plain,
( spl2_593
| spl2_542 ),
inference(avatar_split_clause,[],[f20117,f18090,f20113]) ).
thf(f20121,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_546 ),
inference(constrained_superposition,[],[f18113,f51]) ).
thf(f20126,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_546 ),
inference(trivial_inequality_removal,[],[f20121]) ).
thf(f20129,plain,
( spl2_344
| spl2_551
| spl2_546 ),
inference(avatar_split_clause,[],[f20126,f18112,f18190,f7826]) ).
thf(f20146,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_322
| ~ spl2_532 ),
inference(constrained_superposition,[],[f7563,f17915]) ).
thf(f20149,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_322
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f20146]) ).
thf(f20184,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_589 ),
inference(constrained_superposition,[],[f19946,f79]) ).
thf(f20192,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f20184]) ).
thf(f20194,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_20
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f20192,f4373]) ).
thf(f20197,plain,
( spl2_544
| ~ spl2_2
| ~ spl2_20
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f20194,f19794,f294,f62,f18099]) ).
thf(f20203,plain,
( $false
| ~ spl2_322
| ~ spl2_532
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f20149,f18100]) ).
thf(f20204,plain,
( ~ spl2_322
| ~ spl2_532
| ~ spl2_544 ),
inference(avatar_contradiction_clause,[],[f20203]) ).
thf(f20212,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_542 ),
inference(constrained_superposition,[],[f18091,f29]) ).
thf(f20214,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_542 ),
inference(trivial_inequality_removal,[],[f20212]) ).
thf(f20217,plain,
( spl2_593
| spl2_550
| spl2_542 ),
inference(avatar_split_clause,[],[f20214,f18090,f18143,f20113]) ).
thf(f20220,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_593 ),
inference(constrained_superposition,[],[f74,f20114]) ).
thf(f20223,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_593 ),
inference(trivial_inequality_removal,[],[f20220]) ).
thf(f20232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_533 ),
inference(constrained_superposition,[],[f195,f17918]) ).
thf(f20240,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f20232]) ).
thf(f20250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_534 ),
inference(constrained_superposition,[],[f30,f17922]) ).
thf(f20257,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_534 ),
inference(trivial_inequality_removal,[],[f20250]) ).
thf(f20262,plain,
( spl2_591
| ~ spl2_534 ),
inference(avatar_split_clause,[],[f20257,f17921,f19804]) ).
thf(f20288,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_538
| ~ spl2_572 ),
inference(constrained_superposition,[],[f18864,f17944]) ).
thf(f20289,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_538 ),
inference(constrained_superposition,[],[f74,f17944]) ).
thf(f20291,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_538
| ~ spl2_572 ),
inference(trivial_inequality_removal,[],[f20288]) ).
thf(f20292,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_538 ),
inference(trivial_inequality_removal,[],[f20289]) ).
thf(f20294,plain,
( $false
| ~ spl2_538
| ~ spl2_572
| ~ spl2_575 ),
inference(forward_subsumption_resolution,[],[f20291,f20100]) ).
thf(f20295,plain,
( ~ spl2_538
| ~ spl2_572
| ~ spl2_575 ),
inference(avatar_contradiction_clause,[],[f20294]) ).
thf(f20296,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_538
| ~ spl2_575 ),
inference(forward_subsumption_resolution,[],[f20292,f20100]) ).
thf(f20298,plain,
( $false
| ~ spl2_4
| ~ spl2_538
| ~ spl2_575
| spl2_589 ),
inference(forward_subsumption_resolution,[],[f20296,f19795]) ).
thf(f20299,plain,
( ~ spl2_4
| ~ spl2_538
| ~ spl2_575
| spl2_589 ),
inference(avatar_contradiction_clause,[],[f20298]) ).
thf(f20300,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_539 ),
inference(constrained_superposition,[],[f165,f17947]) ).
thf(f20301,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_539 ),
inference(constrained_superposition,[],[f195,f17947]) ).
thf(f20307,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f20300]) ).
thf(f20311,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f20301]) ).
thf(f20335,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_551
| ~ spl2_580 ),
inference(constrained_superposition,[],[f19223,f18191]) ).
thf(f20340,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_551
| ~ spl2_580 ),
inference(trivial_inequality_removal,[],[f20335]) ).
thf(f20345,plain,
( $false
| ~ spl2_160
| ~ spl2_551
| ~ spl2_580 ),
inference(forward_subsumption_resolution,[],[f20340,f4029]) ).
thf(f20346,plain,
( ~ spl2_160
| ~ spl2_551
| ~ spl2_580 ),
inference(avatar_contradiction_clause,[],[f20345]) ).
thf(f20387,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_437
| ~ spl2_536 ),
inference(constrained_superposition,[],[f13968,f17937]) ).
thf(f20394,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_437
| ~ spl2_536 ),
inference(trivial_inequality_removal,[],[f20387]) ).
thf(f20399,plain,
( $false
| ~ spl2_437
| ~ spl2_536
| ~ spl2_593 ),
inference(forward_subsumption_resolution,[],[f20394,f20114]) ).
thf(f20400,plain,
( ~ spl2_437
| ~ spl2_536
| ~ spl2_593 ),
inference(avatar_contradiction_clause,[],[f20399]) ).
thf(f20405,plain,
( ~ spl2_11
| ~ spl2_167
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f20032,f4079,f4065,f157]) ).
thf(f20406,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_559
| ~ spl2_593 ),
inference(forward_subsumption_resolution,[],[f20223,f18227]) ).
thf(f20407,plain,
( ~ spl2_11
| ~ spl2_191
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f19432,f7562,f4437,f157]) ).
thf(f20408,plain,
( spl2_377
| spl2_560
| ~ spl2_533 ),
inference(avatar_split_clause,[],[f20240,f17917,f18229,f9153]) ).
thf(f20409,plain,
( spl2_173
| ~ spl2_4
| ~ spl2_559
| ~ spl2_593 ),
inference(avatar_split_clause,[],[f20406,f20113,f18226,f73,f4133]) ).
thf(f20411,definition,
( spl2_598
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_598])],[avatar_definition]) ).
thf(f20412,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_598 ),
inference(avatar_component_clause,[],[f20411]) ).
thf(f20413,plain,
( spl2_544
| spl2_598
| ~ spl2_539 ),
inference(avatar_split_clause,[],[f20307,f17946,f20411,f18099]) ).
thf(f20446,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_508
| ~ spl2_574 ),
inference(constrained_superposition,[],[f19928,f19076]) ).
thf(f20447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_574 ),
inference(constrained_superposition,[],[f63,f19076]) ).
thf(f20451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_574 ),
inference(constrained_superposition,[],[f30,f19076]) ).
thf(f20457,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f20451]) ).
thf(f20459,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f20447]) ).
thf(f20463,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_508
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f20446]) ).
thf(f20465,plain,
( spl2_591
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f20457,f19075,f19804]) ).
thf(f20472,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_393
| ~ spl2_500 ),
inference(constrained_superposition,[],[f10920,f16323]) ).
thf(f20473,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_322
| ~ spl2_500 ),
inference(constrained_superposition,[],[f7563,f16323]) ).
thf(f20476,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_393
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f20472]) ).
thf(f20479,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_322
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f20473]) ).
thf(f20480,plain,
( $false
| ~ spl2_76
| ~ spl2_393
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f20476,f1600]) ).
thf(f20481,plain,
( ~ spl2_76
| ~ spl2_393
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f20480]) ).
thf(f20483,plain,
( $false
| ~ spl2_160
| ~ spl2_322
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f20479,f4029]) ).
thf(f20484,plain,
( ~ spl2_160
| ~ spl2_322
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f20483]) ).
thf(f20485,plain,
( spl2_191
| ~ spl2_508
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f20463,f19075,f15968,f4437]) ).
thf(f20488,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_332
| spl2_558 ),
inference(forward_subsumption_resolution,[],[f18805,f17902]) ).
thf(f20489,plain,
( spl2_191
| spl2_332
| spl2_558 ),
inference(avatar_split_clause,[],[f20488,f18220,f7701,f4437]) ).
thf(f20532,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162
| ~ spl2_566 ),
inference(constrained_superposition,[],[f4037,f18359]) ).
thf(f20540,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162
| ~ spl2_566 ),
inference(trivial_inequality_removal,[],[f20532]) ).
thf(f20549,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_574 ),
inference(constrained_superposition,[],[f20459,f79]) ).
thf(f20556,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f20549]) ).
thf(f20600,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191
| ~ spl2_317 ),
inference(constrained_superposition,[],[f7414,f4438]) ).
thf(f20607,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f20600]) ).
thf(f20609,plain,
( $false
| ~ spl2_168
| ~ spl2_191
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f20607,f4080]) ).
thf(f20610,plain,
( ~ spl2_168
| ~ spl2_191
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f20609]) ).
thf(f20641,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_162
| ~ spl2_539
| ~ spl2_566 ),
inference(constrained_superposition,[],[f20540,f17947]) ).
thf(f20650,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_162
| ~ spl2_539
| ~ spl2_566 ),
inference(trivial_inequality_removal,[],[f20641]) ).
thf(f20652,plain,
( ~ spl2_542
| ~ spl2_162
| ~ spl2_539
| ~ spl2_566 ),
inference(avatar_split_clause,[],[f20650,f18358,f17946,f4036,f18090]) ).
thf(f20655,definition,
( spl2_599
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_599])],[avatar_definition]) ).
thf(f20656,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_599 ),
inference(avatar_component_clause,[],[f20655]) ).
thf(f20657,plain,
( spl2_559
| spl2_599
| ~ spl2_539 ),
inference(avatar_split_clause,[],[f20311,f17946,f20655,f18226]) ).
thf(f20658,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168
| spl2_173 ),
inference(forward_subsumption_resolution,[],[f19889,f7280]) ).
thf(f20660,plain,
( ~ spl2_7
| ~ spl2_4
| ~ spl2_168
| spl2_173 ),
inference(avatar_split_clause,[],[f20658,f4133,f4079,f73,f110]) ).
thf(f20678,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_508
| ~ spl2_581 ),
inference(constrained_superposition,[],[f19928,f19347]) ).
thf(f20687,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_508
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f20678]) ).
thf(f20695,plain,
( spl2_414
| ~ spl2_508
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f20687,f19346,f15968,f12325]) ).
thf(f20869,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_414 ),
inference(constrained_superposition,[],[f74,f12326]) ).
thf(f20872,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f20869]) ).
thf(f20983,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_186
| ~ spl2_574 ),
inference(constrained_superposition,[],[f19076,f4359]) ).
thf(f21007,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_173
| ~ spl2_186
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f20983,f7280]) ).
thf(f21047,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_173
| ~ spl2_186
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f21007,f48]) ).
thf(f21081,plain,
( $false
| spl2_173
| ~ spl2_186
| spl2_332
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f21047,f17902]) ).
thf(f21082,plain,
( spl2_173
| ~ spl2_186
| spl2_332
| ~ spl2_574 ),
inference(avatar_contradiction_clause,[],[f21081]) ).
thf(f21137,plain,
( $false
| ~ spl2_334
| ~ spl2_408 ),
inference(forward_subsumption_resolution,[],[f18360,f12142]) ).
thf(f21138,plain,
( ~ spl2_334
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f21137]) ).
thf(f21148,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_308 ),
inference(constrained_superposition,[],[f4066,f7332]) ).
thf(f21153,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f21148]) ).
thf(f21155,plain,
( $false
| ~ spl2_167
| ~ spl2_308
| ~ spl2_327 ),
inference(forward_subsumption_resolution,[],[f21153,f7677]) ).
thf(f21156,plain,
( ~ spl2_167
| ~ spl2_308
| ~ spl2_327 ),
inference(avatar_contradiction_clause,[],[f21155]) ).
thf(f21211,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_314
| ~ spl2_574 ),
inference(constrained_superposition,[],[f20459,f7353]) ).
thf(f21222,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_314
| ~ spl2_574 ),
inference(trivial_inequality_removal,[],[f21211]) ).
thf(f21229,plain,
( $false
| ~ spl2_2
| ~ spl2_314
| ~ spl2_574
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f21222,f19347]) ).
thf(f21230,plain,
( ~ spl2_2
| ~ spl2_314
| ~ spl2_574
| ~ spl2_581 ),
inference(avatar_contradiction_clause,[],[f21229]) ).
thf(f21272,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_559 ),
inference(constrained_superposition,[],[f26,f18227]) ).
thf(f21273,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_559 ),
inference(trivial_inequality_removal,[],[f21272]) ).
thf(f21274,plain,
( spl2_3
| spl2_572
| ~ spl2_559 ),
inference(avatar_split_clause,[],[f21273,f18226,f18863,f70]) ).
thf(f21291,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f7256,f1446]) ).
thf(f21302,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f21291]) ).
thf(f21303,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_313
| ~ spl2_437 ),
inference(constrained_superposition,[],[f13968,f7350]) ).
thf(f21305,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_313 ),
inference(constrained_superposition,[],[f26,f7350]) ).
thf(f21306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f21305]) ).
thf(f21307,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_313
| ~ spl2_437 ),
inference(trivial_inequality_removal,[],[f21303]) ).
thf(f21309,plain,
( spl2_335
| spl2_408
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f21306,f7349,f12141,f7736]) ).
thf(f21310,plain,
( $false
| ~ spl2_308
| ~ spl2_313
| ~ spl2_437 ),
inference(forward_subsumption_resolution,[],[f21307,f7332]) ).
thf(f21311,plain,
( ~ spl2_308
| ~ spl2_313
| ~ spl2_437 ),
inference(avatar_contradiction_clause,[],[f21310]) ).
thf(f21312,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_7
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f20872,f111]) ).
thf(f21313,plain,
( spl2_581
| ~ spl2_4
| ~ spl2_7
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f21312,f12325,f110,f73,f19346]) ).
thf(f21340,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_317
| ~ spl2_532 ),
inference(constrained_superposition,[],[f7414,f17915]) ).
thf(f21346,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_317
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f21340]) ).
thf(f21369,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_537 ),
inference(constrained_superposition,[],[f165,f17940]) ).
thf(f21376,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f21369]) ).
thf(f21384,definition,
( spl2_605
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_605])],[avatar_definition]) ).
thf(f21385,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_605 ),
inference(avatar_component_clause,[],[f21384]) ).
thf(f21386,plain,
( spl2_605
| spl2_347
| ~ spl2_537 ),
inference(avatar_split_clause,[],[f21376,f17939,f7839,f21384]) ).
thf(f21400,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_415 ),
inference(constrained_superposition,[],[f12410,f49]) ).
thf(f21409,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_415 ),
inference(trivial_inequality_removal,[],[f21400]) ).
thf(f21415,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_415
| ~ spl2_574 ),
inference(forward_subsumption_resolution,[],[f21409,f19076]) ).
thf(f21416,plain,
( spl2_564
| ~ spl2_415
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f21415,f19075,f12409,f18331]) ).
thf(f21448,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_592 ),
inference(constrained_superposition,[],[f20099,f78]) ).
thf(f21460,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_592 ),
inference(trivial_inequality_removal,[],[f21448]) ).
thf(f21468,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_535
| ~ spl2_582 ),
inference(constrained_superposition,[],[f19408,f17925]) ).
thf(f21471,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_535
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f21468]) ).
thf(f21476,plain,
( $false
| ~ spl2_308
| ~ spl2_535
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f21471,f7332]) ).
thf(f21477,plain,
( ~ spl2_308
| ~ spl2_535
| ~ spl2_582 ),
inference(avatar_contradiction_clause,[],[f21476]) ).
thf(f21479,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_296
| ~ spl2_589 ),
inference(constrained_superposition,[],[f21302,f19815]) ).
thf(f21483,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_296
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f21479]) ).
thf(f21485,plain,
( spl2_551
| ~ spl2_296
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f21483,f19794,f7255,f18190]) ).
thf(f21520,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_539
| ~ spl2_560 ),
inference(constrained_superposition,[],[f18230,f17947]) ).
thf(f21526,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_539
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f21520]) ).
thf(f21530,plain,
( $false
| ~ spl2_311
| ~ spl2_539
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f21526,f7343]) ).
thf(f21531,plain,
( ~ spl2_311
| ~ spl2_539
| ~ spl2_560 ),
inference(avatar_contradiction_clause,[],[f21530]) ).
thf(f21559,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_598 ),
inference(constrained_superposition,[],[f20412,f78]) ).
thf(f21561,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_598 ),
inference(constrained_superposition,[],[f20412,f1446]) ).
thf(f21564,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_598 ),
inference(trivial_inequality_removal,[],[f21561]) ).
thf(f21569,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_598 ),
inference(trivial_inequality_removal,[],[f21559]) ).
thf(f21571,plain,
( spl2_551
| ~ spl2_566
| ~ spl2_598 ),
inference(avatar_split_clause,[],[f21564,f20411,f18358,f18190]) ).
thf(f21572,plain,
( ~ spl2_357
| spl2_555
| ~ spl2_598 ),
inference(avatar_split_clause,[],[f21569,f20411,f18207,f8077]) ).
thf(f21573,plain,
( ~ spl2_558
| spl2_414
| ~ spl2_592 ),
inference(avatar_split_clause,[],[f21460,f20098,f12325,f18220]) ).
thf(f21574,plain,
( $false
| ~ spl2_317
| ~ spl2_532
| ~ spl2_593 ),
inference(forward_subsumption_resolution,[],[f20114,f21346]) ).
thf(f21575,plain,
( ~ spl2_317
| ~ spl2_532
| ~ spl2_593 ),
inference(avatar_contradiction_clause,[],[f21574]) ).
thf(f21643,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_210
| ~ spl2_590 ),
inference(constrained_superposition,[],[f19799,f4931]) ).
thf(f21647,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_210
| ~ spl2_296 ),
inference(constrained_superposition,[],[f7256,f4931]) ).
thf(f21654,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_210
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f21647]) ).
thf(f21655,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_210
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f21643]) ).
thf(f21664,plain,
( $false
| ~ spl2_173
| ~ spl2_210
| ~ spl2_296 ),
inference(forward_subsumption_resolution,[],[f21654,f4134]) ).
thf(f21665,plain,
( ~ spl2_173
| ~ spl2_210
| ~ spl2_296 ),
inference(avatar_contradiction_clause,[],[f21664]) ).
thf(f21666,plain,
( ~ spl2_149
| ~ spl2_210
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f21655,f19798,f4930,f3534]) ).
thf(f21706,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_566
| ~ spl2_590 ),
inference(constrained_superposition,[],[f19799,f18359]) ).
thf(f21718,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_566
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f21706]) ).
thf(f21729,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_317 ),
inference(constrained_superposition,[],[f7414,f1636]) ).
thf(f21743,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f21729]) ).
thf(f21751,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f21743,f48]) ).
thf(f21753,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_79
| ~ spl2_317 ),
inference(constrained_superposition,[],[f21751,f1636]) ).
thf(f21755,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f21753]) ).
thf(f21757,plain,
( $false
| ~ spl2_79
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f21755,f48]) ).
thf(f21758,plain,
( ~ spl2_79
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f21757]) ).
thf(f21761,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_566
| ~ spl2_590 ),
inference(constrained_superposition,[],[f21718,f49]) ).
thf(f21763,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_566
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f21761]) ).
thf(f21765,plain,
( spl2_564
| ~ spl2_566
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f21763,f19798,f18358,f18331]) ).
thf(f21780,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_544 ),
inference(constrained_superposition,[],[f74,f18100]) ).
thf(f21783,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f21780]) ).
thf(f21786,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_544
| ~ spl2_559 ),
inference(forward_subsumption_resolution,[],[f21783,f18227]) ).
thf(f21789,plain,
( $false
| ~ spl2_4
| spl2_20
| ~ spl2_544
| ~ spl2_559 ),
inference(forward_subsumption_resolution,[],[f21786,f295]) ).
thf(f21790,plain,
( ~ spl2_4
| spl2_20
| ~ spl2_544
| ~ spl2_559 ),
inference(avatar_contradiction_clause,[],[f21789]) ).
thf(f21801,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f26,f4438]) ).
thf(f21804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f21801]) ).
thf(f21805,plain,
( spl2_323
| spl2_322
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f21804,f4437,f7562,f7565]) ).
thf(f21821,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_347 ),
inference(constrained_superposition,[],[f74,f7840]) ).
thf(f21825,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f21821]) ).
thf(f21832,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_347
| ~ spl2_575 ),
inference(forward_subsumption_resolution,[],[f21825,f20100]) ).
thf(f21833,plain,
( spl2_327
| ~ spl2_20
| ~ spl2_2
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f20556,f19075,f62,f294,f7676]) ).
thf(f21834,plain,
( spl2_20
| ~ spl2_4
| ~ spl2_347
| ~ spl2_575 ),
inference(avatar_split_clause,[],[f21832,f19079,f7839,f73,f294]) ).
thf(f21868,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_149 ),
inference(constrained_superposition,[],[f3535,f29]) ).
thf(f21869,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_149 ),
inference(trivial_inequality_removal,[],[f21868]) ).
thf(f21871,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f21869,f48]) ).
thf(f21874,plain,
( $false
| ~ spl2_3
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f21871,f71]) ).
thf(f21875,plain,
( ~ spl2_3
| spl2_149 ),
inference(avatar_contradiction_clause,[],[f21874]) ).
thf(f21881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_222 ),
inference(constrained_superposition,[],[f26,f5099]) ).
thf(f21882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f21881]) ).
thf(f21884,plain,
( spl2_195
| spl2_171
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f21882,f5098,f4126,f4482]) ).
thf(f21885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f26,f1600]) ).
thf(f21886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f21885]) ).
thf(f21887,plain,
( spl2_3
| spl2_195
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f21886,f1599,f4482,f70]) ).
thf(f21910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_327 ),
inference(constrained_superposition,[],[f26,f7677]) ).
thf(f21912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f21910]) ).
thf(f21913,plain,
( spl2_9
| spl2_322
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f21912,f7676,f7562,f141]) ).
thf(f21920,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_581 ),
inference(constrained_superposition,[],[f63,f19347]) ).
thf(f21929,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f21920]) ).
thf(f21952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f30,f7335]) ).
thf(f21956,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f21952]) ).
thf(f21964,plain,
( spl2_591
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f21956,f7334,f19804]) ).
thf(f21982,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_335
| ~ spl2_414 ),
inference(constrained_superposition,[],[f7737,f12326]) ).
thf(f21987,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_335
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f21982]) ).
thf(f21989,plain,
( $false
| ~ spl2_191
| ~ spl2_335
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f21987,f4438]) ).
thf(f21990,plain,
( ~ spl2_191
| ~ spl2_335
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f21989]) ).
thf(f22015,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_160 ),
inference(constrained_superposition,[],[f26,f4029]) ).
thf(f22016,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f22015]) ).
thf(f22018,plain,
( spl2_9
| spl2_167
| ~ spl2_160 ),
inference(avatar_split_clause,[],[f22016,f4028,f4065,f141]) ).
thf(f22051,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f26,f7332]) ).
thf(f22053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f22051]) ).
thf(f22054,plain,
( spl2_317
| spl2_171
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f22053,f7331,f4126,f7413]) ).
thf(f22062,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_500 ),
inference(constrained_superposition,[],[f26,f16323]) ).
thf(f22064,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f22062]) ).
thf(f22065,plain,
( spl2_323
| spl2_317
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f22064,f15178,f7413,f7565]) ).
thf(f22126,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_500 ),
inference(constrained_superposition,[],[f270,f16323]) ).
thf(f22132,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f22126]) ).
thf(f22134,plain,
( $false
| ~ spl2_19
| ~ spl2_160
| ~ spl2_500 ),
inference(forward_subsumption_resolution,[],[f22132,f4029]) ).
thf(f22135,plain,
( ~ spl2_19
| ~ spl2_160
| ~ spl2_500 ),
inference(avatar_contradiction_clause,[],[f22134]) ).
thf(f22171,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_566
| ~ spl2_581 ),
inference(constrained_superposition,[],[f21929,f18359]) ).
thf(f22182,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_566
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f22171]) ).
thf(f22183,plain,
( $false
| ~ spl2_2
| ~ spl2_173
| ~ spl2_566
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f22182,f4134]) ).
thf(f22184,plain,
( ~ spl2_2
| ~ spl2_173
| ~ spl2_566
| ~ spl2_581 ),
inference(avatar_contradiction_clause,[],[f22183]) ).
thf(f22191,plain,
( ( $true != $true )
| ~ spl2_3
| ~ spl2_564 ),
inference(constrained_superposition,[],[f71,f18332]) ).
thf(f22193,plain,
( $false
| ~ spl2_3
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f22191]) ).
thf(f22194,plain,
( ~ spl2_3
| ~ spl2_564 ),
inference(avatar_contradiction_clause,[],[f22193]) ).
thf(f22214,definition,
( spl2_614
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_614])],[avatar_definition]) ).
thf(f22215,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_614 ),
inference(avatar_component_clause,[],[f22214]) ).
thf(f22228,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f26,f187]) ).
thf(f22229,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f22228]) ).
thf(f22230,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f26,f9154]) ).
thf(f22231,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f22230]) ).
thf(f22234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f30,f4931]) ).
thf(f22241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f22234]) ).
thf(f22248,plain,
( spl2_162
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f22241,f4930,f4036]) ).
thf(f22251,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_340 ),
inference(extensionality_resolution,[],[f80,f17900]) ).
thf(f22252,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_340 ),
inference(extensionality_resolution,[],[f80,f17900]) ).
thf(f22259,plain,
( spl2_538
| spl2_539
| spl2_340 ),
inference(avatar_split_clause,[],[f22251,f7755,f17946,f17943]) ).
thf(f22265,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_508 ),
inference(constrained_superposition,[],[f15969,f78]) ).
thf(f22268,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_508 ),
inference(constrained_superposition,[],[f15969,f29]) ).
thf(f22270,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_508 ),
inference(trivial_inequality_removal,[],[f22265]) ).
thf(f22271,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_508 ),
inference(trivial_inequality_removal,[],[f22268]) ).
thf(f22274,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f22270,f142]) ).
thf(f22275,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9
| ~ spl2_508 ),
inference(forward_subsumption_resolution,[],[f22271,f142]) ).
thf(f22276,plain,
( spl2_496
| ~ spl2_9
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f22274,f15968,f141,f15129]) ).
thf(f22280,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_508 ),
inference(constrained_superposition,[],[f22275,f29]) ).
thf(f22281,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_508 ),
inference(trivial_inequality_removal,[],[f22280]) ).
thf(f22282,plain,
( spl2_614
| ~ spl2_9
| ~ spl2_508 ),
inference(avatar_split_clause,[],[f22281,f15968,f141,f22214]) ).
thf(f22299,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_311 ),
inference(constrained_superposition,[],[f165,f7343]) ).
thf(f22310,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f22299]) ).
thf(f22313,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_314 ),
inference(constrained_superposition,[],[f165,f7353]) ).
thf(f22321,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f22313]) ).
thf(f22341,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_535 ),
inference(constrained_superposition,[],[f26,f17925]) ).
thf(f22342,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_535 ),
inference(trivial_inequality_removal,[],[f22341]) ).
thf(f22343,plain,
( spl2_561
| spl2_548
| ~ spl2_535 ),
inference(avatar_split_clause,[],[f22342,f17924,f18133,f18269]) ).
thf(f22394,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_163
| ~ spl2_548 ),
inference(constrained_superposition,[],[f18134,f4040]) ).
thf(f22399,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_163
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f22394]) ).
thf(f22403,plain,
( $false
| ~ spl2_163
| ~ spl2_548 ),
inference(forward_subsumption_resolution,[],[f22399,f4040]) ).
thf(f22404,plain,
( ~ spl2_163
| ~ spl2_548 ),
inference(avatar_contradiction_clause,[],[f22403]) ).
thf(f22435,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_163
| ~ spl2_565 ),
inference(constrained_superposition,[],[f18354,f4040]) ).
thf(f22439,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_163
| ~ spl2_565 ),
inference(trivial_inequality_removal,[],[f22435]) ).
thf(f22441,plain,
( $false
| ~ spl2_163
| ~ spl2_565 ),
inference(forward_subsumption_resolution,[],[f22439,f4040]) ).
thf(f22442,plain,
( ~ spl2_163
| ~ spl2_565 ),
inference(avatar_contradiction_clause,[],[f22441]) ).
thf(f22447,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_353
| ~ spl2_539 ),
inference(constrained_superposition,[],[f8058,f17947]) ).
thf(f22457,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_353
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f22447]) ).
thf(f22462,plain,
( $false
| ~ spl2_353
| ~ spl2_533
| ~ spl2_539 ),
inference(forward_subsumption_resolution,[],[f22457,f17918]) ).
thf(f22463,plain,
( ~ spl2_353
| ~ spl2_533
| ~ spl2_539 ),
inference(avatar_contradiction_clause,[],[f22462]) ).
thf(f22471,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_534
| ~ spl2_599 ),
inference(constrained_superposition,[],[f20656,f17922]) ).
thf(f22472,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_534
| ~ spl2_599 ),
inference(trivial_inequality_removal,[],[f22471]) ).
thf(f22480,plain,
( $false
| ~ spl2_314
| ~ spl2_534
| ~ spl2_599 ),
inference(forward_subsumption_resolution,[],[f22472,f7353]) ).
thf(f22481,plain,
( ~ spl2_314
| ~ spl2_534
| ~ spl2_599 ),
inference(avatar_contradiction_clause,[],[f22480]) ).
thf(f22486,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_533
| ~ spl2_605 ),
inference(constrained_superposition,[],[f21385,f17918]) ).
thf(f22492,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_533
| ~ spl2_605 ),
inference(trivial_inequality_removal,[],[f22486]) ).
thf(f22497,plain,
( $false
| ~ spl2_314
| ~ spl2_533
| ~ spl2_605 ),
inference(forward_subsumption_resolution,[],[f22492,f7353]) ).
thf(f22498,plain,
( ~ spl2_314
| ~ spl2_533
| ~ spl2_605 ),
inference(avatar_contradiction_clause,[],[f22497]) ).
thf(f22502,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_591 ),
inference(constrained_superposition,[],[f19805,f78]) ).
thf(f22504,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_591 ),
inference(constrained_superposition,[],[f19805,f1446]) ).
thf(f22505,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_311
| ~ spl2_591 ),
inference(constrained_superposition,[],[f19805,f7343]) ).
thf(f22507,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_591 ),
inference(trivial_inequality_removal,[],[f22504]) ).
thf(f22510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_591 ),
inference(trivial_inequality_removal,[],[f22502]) ).
thf(f22511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_311
| ~ spl2_591 ),
inference(trivial_inequality_removal,[],[f22505]) ).
thf(f22516,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_191
| ~ spl2_591 ),
inference(forward_subsumption_resolution,[],[f22510,f16548]) ).
thf(f22517,plain,
( spl2_592
| ~ spl2_311
| ~ spl2_591 ),
inference(avatar_split_clause,[],[f22511,f19804,f7342,f20098]) ).
thf(f22519,plain,
( $false
| ~ spl2_3
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f16364,f71]) ).
thf(f22520,plain,
( ~ spl2_3
| ~ spl2_521 ),
inference(avatar_contradiction_clause,[],[f22519]) ).
thf(f22522,plain,
( spl2_9
| spl2_19
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f22229,f186,f269,f141]) ).
thf(f22523,plain,
( spl2_500
| spl2_410
| ~ spl2_591 ),
inference(avatar_split_clause,[],[f22507,f19804,f12254,f15178]) ).
thf(f22524,plain,
( $false
| ~ spl2_496
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f19347,f15130]) ).
thf(f22525,plain,
( ~ spl2_496
| ~ spl2_581 ),
inference(avatar_contradiction_clause,[],[f22524]) ).
thf(f22527,plain,
( spl2_347
| spl2_415
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f22321,f7352,f12409,f7839]) ).
thf(f22530,plain,
( $false
| ~ spl2_173
| ~ spl2_496 ),
inference(forward_subsumption_resolution,[],[f4134,f15130]) ).
thf(f22531,plain,
( ~ spl2_173
| ~ spl2_496 ),
inference(avatar_contradiction_clause,[],[f22530]) ).
thf(f22534,plain,
( spl2_536
| spl2_537
| spl2_340 ),
inference(avatar_split_clause,[],[f22252,f7755,f17939,f17936]) ).
thf(f22535,plain,
( spl2_353
| spl2_327
| ~ spl2_311 ),
inference(avatar_split_clause,[],[f22310,f7342,f7676,f8057]) ).
thf(f22538,plain,
( spl2_3
| spl2_393
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f22231,f9153,f10919,f70]) ).
thf(f22559,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f203,f4134]) ).
thf(f22561,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X1 ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f22559]) ).
thf(f22566,plain,
( spl2_176
| spl2_79
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f22561,f4133,f1635,f4174]) ).
thf(f22568,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f26,f4080]) ).
thf(f22569,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f22568]) ).
thf(f22570,plain,
( spl2_171
| spl2_167
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f22569,f4079,f4065,f4126]) ).
thf(f22604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_414 ),
inference(constrained_superposition,[],[f26,f12326]) ).
thf(f22605,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f22604]) ).
thf(f22606,plain,
( spl2_406
| spl2_408
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f22605,f12325,f12141,f11984]) ).
thf(f22607,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f26,f7840]) ).
thf(f22608,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f22607]) ).
thf(f22609,plain,
( spl2_406
| spl2_9
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f22608,f7839,f141,f11984]) ).
thf(f22628,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f19799,f78]) ).
thf(f22634,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f22628]) ).
thf(f22652,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f7256,f79]) ).
thf(f22662,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f22652]) ).
thf(f22663,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_334 ),
inference(constrained_superposition,[],[f26,f18360]) ).
thf(f22664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f22663]) ).
thf(f22665,plain,
( spl2_171
| spl2_437
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f22664,f7732,f13967,f4126]) ).
thf(f22666,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_575
| ~ spl2_614 ),
inference(constrained_superposition,[],[f19080,f22215]) ).
thf(f22670,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_575
| ~ spl2_614 ),
inference(trivial_inequality_removal,[],[f22666]) ).
thf(f22673,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_575
| ~ spl2_614 ),
inference(forward_subsumption_resolution,[],[f22670,f48]) ).
thf(f22680,plain,
( spl2_344
| spl2_575
| ~ spl2_614 ),
inference(avatar_split_clause,[],[f22673,f22214,f19079,f7826]) ).
thf(f22681,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_544 ),
inference(constrained_superposition,[],[f26,f18100]) ).
thf(f22682,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_544 ),
inference(trivial_inequality_removal,[],[f22681]) ).
thf(f22683,plain,
( spl2_580
| spl2_9
| ~ spl2_544 ),
inference(avatar_split_clause,[],[f22682,f18099,f141,f19222]) ).
thf(f22691,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_334 ),
inference(constrained_superposition,[],[f4066,f18360]) ).
thf(f22695,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f22691]) ).
thf(f22698,plain,
( $false
| ~ spl2_167
| ~ spl2_334
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f22695,f7840]) ).
thf(f22699,plain,
( ~ spl2_167
| ~ spl2_334
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f22698]) ).
thf(f22701,plain,
( ~ spl2_20
| spl2_160
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f22662,f7255,f4028,f294]) ).
thf(f22702,plain,
( ~ spl2_15
| spl2_168
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f22634,f19798,f4079,f241]) ).
thf(f22708,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f26,f111]) ).
thf(f22709,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f22708]) ).
thf(f22710,plain,
( spl2_3
| spl2_17
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f22709,f110,f257,f70]) ).
thf(f22724,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_160 ),
inference(constrained_superposition,[],[f15174,f1477]) ).
thf(f22725,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_160 ),
inference(trivial_inequality_removal,[],[f22724]) ).
thf(f22726,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_160
| spl2_164 ),
inference(forward_subsumption_resolution,[],[f22725,f7249]) ).
thf(f22727,plain,
( spl2_181
| spl2_16
| spl2_160
| spl2_164 ),
inference(avatar_split_clause,[],[f22726,f4044,f4028,f244,f4229]) ).
thf(f22739,plain,
( ( $true != $true )
| ~ spl2_544
| ~ spl2_561 ),
inference(constrained_superposition,[],[f18270,f18100]) ).
thf(f22742,plain,
( $false
| ~ spl2_544
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f22739]) ).
thf(f22743,plain,
( ~ spl2_544
| ~ spl2_561 ),
inference(avatar_contradiction_clause,[],[f22742]) ).
thf(f22789,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_551 ),
inference(constrained_superposition,[],[f26,f18191]) ).
thf(f22790,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_551 ),
inference(trivial_inequality_removal,[],[f22789]) ).
thf(f22791,plain,
( spl2_582
| spl2_561
| ~ spl2_551 ),
inference(avatar_split_clause,[],[f22790,f18190,f18269,f19407]) ).
thf(f22798,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_191
| ~ spl2_311
| ~ spl2_591 ),
inference(constrained_superposition,[],[f22516,f7343]) ).
thf(f22804,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_191
| ~ spl2_311
| ~ spl2_591 ),
inference(trivial_inequality_removal,[],[f22798]) ).
thf(f22806,plain,
( ~ spl2_357
| spl2_191
| ~ spl2_311
| ~ spl2_591 ),
inference(avatar_split_clause,[],[f22804,f19804,f7342,f4437,f8077]) ).
thf(f22922,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_406
| ~ spl2_536 ),
inference(constrained_superposition,[],[f11985,f17937]) ).
thf(f22927,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_406
| ~ spl2_536 ),
inference(trivial_inequality_removal,[],[f22922]) ).
thf(f22929,plain,
( $false
| ~ spl2_406
| ~ spl2_536
| ~ spl2_544 ),
inference(forward_subsumption_resolution,[],[f22927,f18100]) ).
thf(f22930,plain,
( ~ spl2_406
| ~ spl2_536
| ~ spl2_544 ),
inference(avatar_contradiction_clause,[],[f22929]) ).
thf(f22938,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_532 ),
inference(constrained_superposition,[],[f26,f17915]) ).
thf(f22940,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f22938]) ).
thf(f22943,plain,
( spl2_323
| spl2_548
| ~ spl2_532 ),
inference(avatar_split_clause,[],[f22940,f17914,f18133,f7565]) ).
thf(f22949,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_538 ),
inference(constrained_superposition,[],[f26,f17944]) ).
thf(f22952,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_538 ),
inference(trivial_inequality_removal,[],[f22949]) ).
thf(f22953,plain,
( spl2_565
| spl2_561
| ~ spl2_538 ),
inference(avatar_split_clause,[],[f22952,f17943,f18269,f18353]) ).
thf(f22962,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_538
| ~ spl2_580 ),
inference(constrained_superposition,[],[f19223,f17944]) ).
thf(f22967,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_538
| ~ spl2_580 ),
inference(trivial_inequality_removal,[],[f22962]) ).
thf(f22970,plain,
( $false
| ~ spl2_347
| ~ spl2_538
| ~ spl2_580 ),
inference(forward_subsumption_resolution,[],[f22967,f7840]) ).
thf(f22971,plain,
( ~ spl2_347
| ~ spl2_538
| ~ spl2_580 ),
inference(avatar_contradiction_clause,[],[f22970]) ).
thf(f23001,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_538
| ~ spl2_582 ),
inference(constrained_superposition,[],[f19408,f17944]) ).
thf(f23007,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_538
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f23001]) ).
thf(f23009,plain,
( $false
| ~ spl2_334
| ~ spl2_538
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f23007,f18360]) ).
thf(f23010,plain,
( ~ spl2_334
| ~ spl2_538
| ~ spl2_582 ),
inference(avatar_contradiction_clause,[],[f23009]) ).
cnf(s2,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f75]) ).
cnf(s3,plain,
( spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f106]) ).
cnf(s6,plain,
( ~ spl2_6
| ~ spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f162]) ).
cnf(s8,plain,
( ~ spl2_3
| spl2_13
| ~ spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f246]) ).
cnf(s10,plain,
( ~ spl2_3
| spl2_15 ),
inference(sat_conversion,[],[f255]) ).
cnf(s15,plain,
( ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| spl2_12 ),
inference(sat_conversion,[],[f276]) ).
cnf(s16,plain,
( ~ spl2_2
| ~ spl2_12
| spl2_13
| ~ spl2_20 ),
inference(sat_conversion,[],[f296]) ).
cnf(s67,plain,
( ~ spl2_3
| spl2_70 ),
inference(sat_conversion,[],[f1500]) ).
cnf(s70,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s72,plain,
( spl2_7
| spl2_77 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s170,plain,
( ~ spl2_5
| spl2_13
| ~ spl2_145 ),
inference(sat_conversion,[],[f3419]) ).
cnf(s204,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_11
| spl2_20 ),
inference(sat_conversion,[],[f3804]) ).
cnf(s214,plain,
( ~ spl2_4
| spl2_12
| ~ spl2_13
| spl2_20 ),
inference(sat_conversion,[],[f3865]) ).
cnf(s220,plain,
( spl2_162
| spl2_163 ),
inference(sat_conversion,[],[f4041]) ).
cnf(s223,plain,
( ~ spl2_5
| spl2_160
| spl2_161 ),
inference(sat_conversion,[],[f4054]) ).
cnf(s231,plain,
( ~ spl2_4
| ~ spl2_76
| ~ spl2_163
| spl2_174 ),
inference(sat_conversion,[],[f4146]) ).
cnf(s232,plain,
( spl2_76
| spl2_173 ),
inference(sat_conversion,[],[f4151]) ).
cnf(s235,plain,
( spl2_162
| ~ spl2_173 ),
inference(sat_conversion,[],[f4177]) ).
cnf(s241,plain,
( ~ spl2_1
| ~ spl2_167 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s242,plain,
( ~ spl2_5
| spl2_164
| ~ spl2_171
| spl2_181 ),
inference(sat_conversion,[],[f4231]) ).
cnf(s300,plain,
( ~ spl2_76
| ~ spl2_157
| spl2_164
| spl2_181 ),
inference(sat_conversion,[],[f4967]) ).
cnf(s321,plain,
( ~ spl2_17
| ~ spl2_76
| spl2_164
| ~ spl2_179 ),
inference(sat_conversion,[],[f5222]) ).
cnf(s330,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_173
| ~ spl2_181
| spl2_230 ),
inference(sat_conversion,[],[f5415]) ).
cnf(s539,plain,
( ~ spl2_70
| spl2_125
| spl2_164
| spl2_308
| ~ spl2_310 ),
inference(sat_conversion,[],[f7340]) ).
cnf(s547,plain,
( ~ spl2_125
| spl2_191 ),
inference(sat_conversion,[],[f7450]) ).
cnf(s566,plain,
( ~ spl2_163
| ~ spl2_308
| spl2_317 ),
inference(sat_conversion,[],[f7612]) ).
cnf(s575,plain,
( ~ spl2_70
| ~ spl2_149
| spl2_160
| ~ spl2_309 ),
inference(sat_conversion,[],[f7699]) ).
cnf(s578,plain,
( ~ spl2_5
| spl2_160
| spl2_164
| ~ spl2_309
| spl2_327
| spl2_332 ),
inference(sat_conversion,[],[f7705]) ).
cnf(s595,plain,
( ~ spl2_181
| spl2_334
| spl2_343
| spl2_344
| spl2_347 ),
inference(sat_conversion,[],[f7841]) ).
cnf(s613,plain,
( ~ spl2_161
| spl2_209
| ~ spl2_211
| ~ spl2_343 ),
inference(sat_conversion,[],[f7991]) ).
cnf(s616,plain,
( ~ spl2_2
| ~ spl2_174
| ~ spl2_311 ),
inference(sat_conversion,[],[f8050]) ).
cnf(s624,plain,
( ~ spl2_70
| ~ spl2_310
| ~ spl2_311
| spl2_327 ),
inference(sat_conversion,[],[f8080]) ).
cnf(s628,plain,
( ~ spl2_5
| ~ spl2_311
| spl2_327
| spl2_344
| spl2_347 ),
inference(sat_conversion,[],[f8092]) ).
cnf(s652,plain,
( spl2_247
| ~ spl2_333 ),
inference(sat_conversion,[],[f8354]) ).
cnf(s732,plain,
( ~ spl2_2
| ~ spl2_12
| spl2_260 ),
inference(sat_conversion,[],[f8761]) ).
cnf(s734,plain,
( ~ spl2_2
| ~ spl2_12
| spl2_268 ),
inference(sat_conversion,[],[f8763]) ).
cnf(s738,plain,
( spl2_179
| ~ spl2_278
| spl2_367 ),
inference(sat_conversion,[],[f8794]) ).
cnf(s759,plain,
( ~ spl2_3
| ~ spl2_181 ),
inference(sat_conversion,[],[f8867]) ).
cnf(s762,plain,
( ~ spl2_4
| ~ spl2_5
| spl2_20
| spl2_157 ),
inference(sat_conversion,[],[f8871]) ).
cnf(s802,plain,
( ~ spl2_9
| spl2_20 ),
inference(sat_conversion,[],[f9206]) ).
cnf(s809,plain,
( ~ spl2_20
| spl2_164
| ~ spl2_176
| ~ spl2_278 ),
inference(sat_conversion,[],[f9245]) ).
cnf(s875,plain,
( ~ spl2_31
| spl2_164 ),
inference(sat_conversion,[],[f9597]) ).
cnf(s971,plain,
( spl2_5
| ~ spl2_20 ),
inference(sat_conversion,[],[f10294]) ).
cnf(s1008,plain,
( spl2_210
| ~ spl2_278
| ~ spl2_340 ),
inference(sat_conversion,[],[f10611]) ).
cnf(s1026,plain,
( ~ spl2_168
| ~ spl2_278 ),
inference(sat_conversion,[],[f10877]) ).
cnf(s1045,plain,
( ~ spl2_2
| spl2_6
| ~ spl2_12
| ~ spl2_20 ),
inference(sat_conversion,[],[f11442]) ).
cnf(s1048,plain,
( ~ spl2_2
| ~ spl2_173
| spl2_296 ),
inference(sat_conversion,[],[f11467]) ).
cnf(s1067,plain,
( ~ spl2_70
| ~ spl2_149
| ~ spl2_309
| spl2_330 ),
inference(sat_conversion,[],[f11601]) ).
cnf(s1073,plain,
( ~ spl2_20
| ~ spl2_169
| ~ spl2_278 ),
inference(sat_conversion,[],[f11674]) ).
cnf(s1074,plain,
( spl2_7
| spl2_20 ),
inference(sat_conversion,[],[f11678]) ).
cnf(s1078,plain,
( ~ spl2_13
| ~ spl2_19
| ~ spl2_163 ),
inference(sat_conversion,[],[f11736]) ).
cnf(s1094,plain,
( ~ spl2_17
| ~ spl2_76
| ~ spl2_160 ),
inference(sat_conversion,[],[f11821]) ).
cnf(s1102,plain,
( spl2_160
| spl2_164
| spl2_211 ),
inference(sat_conversion,[],[f11840]) ).
cnf(s1105,plain,
( ~ spl2_76
| ~ spl2_163
| ~ spl2_393 ),
inference(sat_conversion,[],[f11880]) ).
cnf(s1110,plain,
( ~ spl2_2
| ~ spl2_174
| ~ spl2_323
| spl2_333 ),
inference(sat_conversion,[],[f11908]) ).
cnf(s1117,plain,
( ~ spl2_1
| ~ spl2_278 ),
inference(sat_conversion,[],[f11956]) ).
cnf(s1122,plain,
( ~ spl2_163
| spl2_317
| ~ spl2_327 ),
inference(sat_conversion,[],[f11975]) ).
cnf(s1126,plain,
( ~ spl2_163
| spl2_171
| spl2_278
| ~ spl2_344 ),
inference(sat_conversion,[],[f12050]) ).
cnf(s1137,plain,
( spl2_209
| spl2_210
| ~ spl2_344 ),
inference(sat_conversion,[],[f12073]) ).
cnf(s1140,plain,
( spl2_11
| spl2_145
| ~ spl2_344 ),
inference(sat_conversion,[],[f12078]) ).
cnf(s1142,plain,
( ~ spl2_161
| spl2_209
| ~ spl2_211
| ~ spl2_344 ),
inference(sat_conversion,[],[f12080]) ).
cnf(s1154,plain,
( ~ spl2_1
| ~ spl2_317 ),
inference(sat_conversion,[],[f12156]) ).
cnf(s1164,plain,
( ~ spl2_9
| ~ spl2_169
| ~ spl2_309 ),
inference(sat_conversion,[],[f12250]) ).
cnf(s1165,plain,
( ~ spl2_9
| ~ spl2_168 ),
inference(sat_conversion,[],[f12252]) ).
cnf(s1167,plain,
( ~ spl2_163
| ~ spl2_171 ),
inference(sat_conversion,[],[f12264]) ).
cnf(s1168,plain,
( ~ spl2_160
| ~ spl2_171 ),
inference(sat_conversion,[],[f12268]) ).
cnf(s1169,plain,
( ~ spl2_171
| spl2_173 ),
inference(sat_conversion,[],[f12271]) ).
cnf(s1176,plain,
( spl2_190
| spl2_327 ),
inference(sat_conversion,[],[f12323]) ).
cnf(s1214,plain,
~ spl2_164,
inference(sat_conversion,[],[f12451]) ).
cnf(s1246,plain,
( spl2_7
| ~ spl2_145
| spl2_421 ),
inference(sat_conversion,[],[f12630]) ).
cnf(s1247,plain,
( spl2_5
| ~ spl2_145 ),
inference(sat_conversion,[],[f12631]) ).
cnf(s1249,plain,
( ~ spl2_145
| ~ spl2_421 ),
inference(sat_conversion,[],[f12643]) ).
cnf(s1250,plain,
( spl2_13
| ~ spl2_421 ),
inference(sat_conversion,[],[f12644]) ).
cnf(s1254,plain,
( spl2_31
| ~ spl2_247 ),
inference(sat_conversion,[],[f12687]) ).
cnf(s1257,plain,
( spl2_12
| ~ spl2_325 ),
inference(sat_conversion,[],[f12689]) ).
cnf(s1267,plain,
( spl2_171
| ~ spl2_209
| spl2_278 ),
inference(sat_conversion,[],[f12861]) ).
cnf(s1282,plain,
( spl2_162
| ~ spl2_351 ),
inference(sat_conversion,[],[f12958]) ).
cnf(s1295,plain,
( spl2_327
| ~ spl2_351
| spl2_426 ),
inference(sat_conversion,[],[f13066]) ).
cnf(s1308,plain,
( ~ spl2_308
| ~ spl2_323 ),
inference(sat_conversion,[],[f13242]) ).
cnf(s1320,plain,
( ~ spl2_1
| ~ spl2_406 ),
inference(sat_conversion,[],[f13349]) ).
cnf(s1323,plain,
( ~ spl2_171
| ~ spl2_209 ),
inference(sat_conversion,[],[f13357]) ).
cnf(s1324,plain,
( ~ spl2_1
| ~ spl2_308
| spl2_393 ),
inference(sat_conversion,[],[f13402]) ).
cnf(s1333,plain,
( ~ spl2_1
| ~ spl2_335 ),
inference(sat_conversion,[],[f13473]) ).
cnf(s1336,plain,
( spl2_191
| ~ spl2_211
| ~ spl2_426 ),
inference(sat_conversion,[],[f13478]) ).
cnf(s1337,plain,
( spl2_191
| ~ spl2_410
| ~ spl2_427 ),
inference(sat_conversion,[],[f13479]) ).
cnf(s1339,plain,
( spl2_164
| spl2_313
| spl2_314 ),
inference(sat_conversion,[],[f13489]) ).
cnf(s1340,plain,
( spl2_164
| spl2_311
| spl2_312 ),
inference(sat_conversion,[],[f13490]) ).
cnf(s1343,plain,
( spl2_164
| spl2_168
| spl2_427 ),
inference(sat_conversion,[],[f13508]) ).
cnf(s1347,plain,
( ~ spl2_9
| ~ spl2_191 ),
inference(sat_conversion,[],[f13527]) ).
cnf(s1348,plain,
( ~ spl2_9
| ~ spl2_414 ),
inference(sat_conversion,[],[f13549]) ).
cnf(s1355,plain,
( ~ spl2_1
| ~ spl2_322 ),
inference(sat_conversion,[],[f13613]) ).
cnf(s1363,plain,
( spl2_164
| spl2_308
| spl2_309 ),
inference(sat_conversion,[],[f13683]) ).
cnf(s1364,plain,
( ~ spl2_309
| ~ spl2_415
| spl2_432 ),
inference(sat_conversion,[],[f13688]) ).
cnf(s1365,plain,
( ~ spl2_174
| ~ spl2_190
| ~ spl2_314
| spl2_414 ),
inference(sat_conversion,[],[f13689]) ).
cnf(s1366,plain,
( spl2_347
| spl2_357 ),
inference(sat_conversion,[],[f13690]) ).
cnf(s1367,plain,
( ~ spl2_190
| spl2_414
| ~ spl2_415 ),
inference(sat_conversion,[],[f13691]) ).
cnf(s1381,plain,
( ~ spl2_347
| ~ spl2_408 ),
inference(sat_conversion,[],[f13776]) ).
cnf(s1389,plain,
( ~ spl2_312
| spl2_323
| spl2_335 ),
inference(sat_conversion,[],[f13839]) ).
cnf(s1405,plain,
( ~ spl2_163
| ~ spl2_335 ),
inference(sat_conversion,[],[f13947]) ).
cnf(s1633,plain,
( ~ spl2_160
| ~ spl2_330
| spl2_332
| ~ spl2_406 ),
inference(sat_conversion,[],[f15175]) ).
cnf(s1634,plain,
( ~ spl2_330
| spl2_332
| ~ spl2_335
| ~ spl2_500 ),
inference(sat_conversion,[],[f15180]) ).
cnf(s1771,plain,
( spl2_186
| ~ spl2_230
| ~ spl2_367 ),
inference(sat_conversion,[],[f16062]) ).
cnf(s1806,plain,
( spl2_173
| ~ spl2_174
| ~ spl2_332 ),
inference(sat_conversion,[],[f16461]) ).
cnf(s1807,plain,
( spl2_168
| ~ spl2_308
| ~ spl2_332 ),
inference(sat_conversion,[],[f16465]) ).
cnf(s1819,plain,
( ~ spl2_161
| spl2_209
| ~ spl2_211
| ~ spl2_332 ),
inference(sat_conversion,[],[f16491]) ).
cnf(s1820,plain,
( spl2_209
| spl2_210
| ~ spl2_332 ),
inference(sat_conversion,[],[f16493]) ).
cnf(s1826,plain,
( spl2_11
| ~ spl2_77
| ~ spl2_332
| spl2_421 ),
inference(sat_conversion,[],[f16501]) ).
cnf(s1828,plain,
( spl2_11
| spl2_145
| ~ spl2_332 ),
inference(sat_conversion,[],[f16504]) ).
cnf(s1833,plain,
( ~ spl2_16
| ~ spl2_191
| ~ spl2_335
| spl2_344 ),
inference(sat_conversion,[],[f16549]) ).
cnf(s1834,plain,
( ~ spl2_16
| spl2_164
| spl2_168 ),
inference(sat_conversion,[],[f16554]) ).
cnf(s1835,plain,
( ~ spl2_7
| ~ spl2_16
| spl2_164
| ~ spl2_195 ),
inference(sat_conversion,[],[f16556]) ).
cnf(s1846,plain,
( ~ spl2_195
| ~ spl2_308
| ~ spl2_377 ),
inference(sat_conversion,[],[f16636]) ).
cnf(s1970,plain,
( spl2_332
| spl2_532
| spl2_533 ),
inference(sat_conversion,[],[f17919]) ).
cnf(s1971,plain,
( spl2_332
| spl2_534
| spl2_535 ),
inference(sat_conversion,[],[f17926]) ).
cnf(s1976,plain,
( ~ spl2_17
| ~ spl2_268
| spl2_332
| spl2_334
| ~ spl2_347 ),
inference(sat_conversion,[],[f18004]) ).
cnf(s1980,plain,
( ~ spl2_169
| spl2_332
| spl2_334
| spl2_344
| spl2_414 ),
inference(sat_conversion,[],[f18023]) ).
cnf(s1986,plain,
( ~ spl2_5
| ~ spl2_190
| ~ spl2_533
| spl2_544 ),
inference(sat_conversion,[],[f18101]) ).
cnf(s1987,plain,
( ~ spl2_2
| ~ spl2_174
| ~ spl2_533 ),
inference(sat_conversion,[],[f18103]) ).
cnf(s2012,plain,
( spl2_351
| spl2_500 ),
inference(sat_conversion,[],[f18252]) ).
cnf(s2013,plain,
( spl2_164
| spl2_351
| spl2_500 ),
inference(sat_conversion,[],[f18255]) ).
cnf(s2025,plain,
( ~ spl2_2
| ~ spl2_17
| ~ spl2_347
| ~ spl2_537
| spl2_559 ),
inference(sat_conversion,[],[f18340]) ).
cnf(s2026,plain,
( ~ spl2_335
| ~ spl2_532
| ~ spl2_536 ),
inference(sat_conversion,[],[f18351]) ).
cnf(s2029,plain,
( spl2_332
| spl2_334
| spl2_566 ),
inference(sat_conversion,[],[f18361]) ).
cnf(s2030,plain,
( spl2_5
| spl2_164
| spl2_168 ),
inference(sat_conversion,[],[f18362]) ).
cnf(s2033,plain,
( spl2_5
| spl2_191
| spl2_332 ),
inference(sat_conversion,[],[f18365]) ).
cnf(s2035,plain,
( ~ spl2_171
| ~ spl2_500 ),
inference(sat_conversion,[],[f18392]) ).
cnf(s2036,plain,
( ~ spl2_76
| ~ spl2_171 ),
inference(sat_conversion,[],[f18396]) ).
cnf(s2038,plain,
( spl2_308
| ~ spl2_312
| ~ spl2_340 ),
inference(sat_conversion,[],[f18472]) ).
cnf(s2040,plain,
( spl2_334
| ~ spl2_340
| ~ spl2_532 ),
inference(sat_conversion,[],[f18477]) ).
cnf(s2042,plain,
( spl2_209
| spl2_210
| ~ spl2_340 ),
inference(sat_conversion,[],[f18480]) ).
cnf(s2043,plain,
( ~ spl2_161
| spl2_209
| ~ spl2_211
| ~ spl2_340 ),
inference(sat_conversion,[],[f18481]) ).
cnf(s2062,plain,
( ~ spl2_313
| ~ spl2_323 ),
inference(sat_conversion,[],[f18611]) ).
cnf(s2063,plain,
( ~ spl2_323
| ~ spl2_535 ),
inference(sat_conversion,[],[f18613]) ).
cnf(s2067,plain,
( ~ spl2_171
| ~ spl2_432 ),
inference(sat_conversion,[],[f18625]) ).
cnf(s2068,plain,
( spl2_314
| ~ spl2_323
| spl2_340 ),
inference(sat_conversion,[],[f18627]) ).
cnf(s2069,plain,
( ~ spl2_323
| ~ spl2_327 ),
inference(sat_conversion,[],[f18629]) ).
cnf(s2070,plain,
( ~ spl2_6
| spl2_168 ),
inference(sat_conversion,[],[f18631]) ).
cnf(s2077,plain,
( ~ spl2_13
| spl2_160 ),
inference(sat_conversion,[],[f18657]) ).
cnf(s2079,plain,
( ~ spl2_13
| ~ spl2_17
| spl2_325 ),
inference(sat_conversion,[],[f18662]) ).
cnf(s2089,plain,
( ~ spl2_125
| spl2_500 ),
inference(sat_conversion,[],[f18715]) ).
cnf(s2090,plain,
( spl2_310
| spl2_521 ),
inference(sat_conversion,[],[f18720]) ).
cnf(s2095,plain,
( ~ spl2_312
| ~ spl2_408 ),
inference(sat_conversion,[],[f18745]) ).
cnf(s2096,plain,
( ~ spl2_162
| ~ spl2_309
| spl2_326 ),
inference(sat_conversion,[],[f18792]) ).
cnf(s2100,plain,
( ~ spl2_169
| ~ spl2_309
| ~ spl2_558 ),
inference(sat_conversion,[],[f18797]) ).
cnf(s2101,plain,
( spl2_160
| ~ spl2_309
| spl2_326 ),
inference(sat_conversion,[],[f18798]) ).
cnf(s2117,plain,
( ~ spl2_230
| spl2_550
| ~ spl2_559
| spl2_573 ),
inference(sat_conversion,[],[f18890]) ).
cnf(s2123,plain,
( ~ spl2_161
| spl2_209
| ~ spl2_211
| ~ spl2_550 ),
inference(sat_conversion,[],[f18951]) ).
cnf(s2124,plain,
( spl2_209
| spl2_210
| ~ spl2_550 ),
inference(sat_conversion,[],[f18953]) ).
cnf(s2131,plain,
( spl2_11
| spl2_145
| ~ spl2_573 ),
inference(sat_conversion,[],[f19024]) ).
cnf(s2142,plain,
( ~ spl2_12
| ~ spl2_260
| ~ spl2_309 ),
inference(sat_conversion,[],[f19069]) ).
cnf(s2143,plain,
( ~ spl2_12
| spl2_163
| ~ spl2_260 ),
inference(sat_conversion,[],[f19070]) ).
cnf(s2146,plain,
( ~ spl2_4
| ~ spl2_532
| ~ spl2_559
| spl2_574 ),
inference(sat_conversion,[],[f19077]) ).
cnf(s2147,plain,
( ~ spl2_4
| ~ spl2_312
| spl2_574
| ~ spl2_575 ),
inference(sat_conversion,[],[f19081]) ).
cnf(s2150,plain,
( ~ spl2_17
| ~ spl2_327
| spl2_574 ),
inference(sat_conversion,[],[f19096]) ).
cnf(s2156,plain,
( ~ spl2_296
| ~ spl2_351
| ~ spl2_574 ),
inference(sat_conversion,[],[f19175]) ).
cnf(s2157,plain,
( spl2_76
| ~ spl2_309
| spl2_410 ),
inference(sat_conversion,[],[f19176]) ).
cnf(s2163,plain,
( ~ spl2_4
| spl2_173
| ~ spl2_334
| ~ spl2_575 ),
inference(sat_conversion,[],[f19210]) ).
cnf(s2170,plain,
( ~ spl2_7
| ~ spl2_191
| ~ spl2_393 ),
inference(sat_conversion,[],[f19263]) ).
cnf(s2181,plain,
( ~ spl2_2
| ~ spl2_173
| ~ spl2_309
| ~ spl2_574 ),
inference(sat_conversion,[],[f19344]) ).
cnf(s2184,plain,
( spl2_575
| spl2_581 ),
inference(sat_conversion,[],[f19354]) ).
cnf(s2193,plain,
( ~ spl2_532
| ~ spl2_561 ),
inference(sat_conversion,[],[f19415]) ).
cnf(s2205,plain,
( ~ spl2_2
| ~ spl2_534
| spl2_559
| ~ spl2_574 ),
inference(sat_conversion,[],[f19532]) ).
cnf(s2208,plain,
( ~ spl2_534
| spl2_559
| spl2_560 ),
inference(sat_conversion,[],[f19534]) ).
cnf(s2211,plain,
( ~ spl2_312
| ~ spl2_317
| ~ spl2_334 ),
inference(sat_conversion,[],[f19557]) ).
cnf(s2222,plain,
( ~ spl2_76
| ~ spl2_551
| ~ spl2_572 ),
inference(sat_conversion,[],[f19672]) ).
cnf(s2223,plain,
( ~ spl2_7
| ~ spl2_555
| ~ spl2_572 ),
inference(sat_conversion,[],[f19674]) ).
cnf(s2226,plain,
( ~ spl2_2
| ~ spl2_537
| spl2_559
| ~ spl2_581 ),
inference(sat_conversion,[],[f19728]) ).
cnf(s2232,plain,
( ~ spl2_410
| ~ spl2_533
| ~ spl2_542 ),
inference(sat_conversion,[],[f19780]) ).
cnf(s2233,plain,
( ~ spl2_2
| ~ spl2_533
| spl2_559
| ~ spl2_574 ),
inference(sat_conversion,[],[f19783]) ).
cnf(s2238,plain,
( ~ spl2_149
| ~ spl2_410
| spl2_521 ),
inference(sat_conversion,[],[f19792]) ).
cnf(s2240,plain,
( ~ spl2_162
| spl2_222
| spl2_590 ),
inference(sat_conversion,[],[f19800]) ).
cnf(s2243,plain,
( ~ spl2_426
| ~ spl2_533
| ~ spl2_546 ),
inference(sat_conversion,[],[f19807]) ).
cnf(s2244,plain,
( ~ spl2_149
| ~ spl2_326
| ~ spl2_574 ),
inference(sat_conversion,[],[f19808]) ).
cnf(s2248,plain,
( ~ spl2_4
| ~ spl2_377
| ~ spl2_535
| spl2_589 ),
inference(sat_conversion,[],[f19816]) ).
cnf(s2249,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_191
| spl2_574 ),
inference(sat_conversion,[],[f19818]) ).
cnf(s2250,plain,
( ~ spl2_4
| spl2_20
| ~ spl2_327
| ~ spl2_377 ),
inference(sat_conversion,[],[f19819]) ).
cnf(s2253,plain,
( ~ spl2_2
| ~ spl2_20
| ~ spl2_312
| ~ spl2_322
| ~ spl2_581 ),
inference(sat_conversion,[],[f19823]) ).
cnf(s2255,plain,
( ~ spl2_2
| ~ spl2_20
| spl2_347
| ~ spl2_581 ),
inference(sat_conversion,[],[f19825]) ).
cnf(s2257,plain,
( ~ spl2_210
| ~ spl2_351
| ~ spl2_426 ),
inference(sat_conversion,[],[f19829]) ).
cnf(s2258,plain,
( ~ spl2_210
| ~ spl2_309
| ~ spl2_326 ),
inference(sat_conversion,[],[f19830]) ).
cnf(s2259,plain,
( ~ spl2_4
| ~ spl2_313
| ~ spl2_377
| spl2_581 ),
inference(sat_conversion,[],[f19831]) ).
cnf(s2260,plain,
( ~ spl2_210
| ~ spl2_426
| spl2_500 ),
inference(sat_conversion,[],[f19832]) ).
cnf(s2264,plain,
( ~ spl2_162
| spl2_168
| spl2_169 ),
inference(sat_conversion,[],[f19836]) ).
cnf(s2269,plain,
( ~ spl2_2
| ~ spl2_20
| spl2_508 ),
inference(sat_conversion,[],[f19859]) ).
cnf(s2276,plain,
( spl2_377
| spl2_574 ),
inference(sat_conversion,[],[f19896]) ).
cnf(s2282,plain,
( ~ spl2_408
| spl2_581 ),
inference(sat_conversion,[],[f19921]) ).
cnf(s2283,plain,
( spl2_559
| spl2_589 ),
inference(sat_conversion,[],[f19934]) ).
cnf(s2286,plain,
( ~ spl2_309
| ~ spl2_310
| ~ spl2_590 ),
inference(sat_conversion,[],[f19964]) ).
cnf(s2299,plain,
( ~ spl2_311
| ~ spl2_410
| ~ spl2_566 ),
inference(sat_conversion,[],[f20065]) ).
cnf(s2301,plain,
( ~ spl2_314
| spl2_591 ),
inference(sat_conversion,[],[f20095]) ).
cnf(s2304,plain,
( ~ spl2_167
| ~ spl2_314
| ~ spl2_334
| spl2_415 ),
inference(sat_conversion,[],[f20103]) ).
cnf(s2307,plain,
( spl2_542
| spl2_593 ),
inference(sat_conversion,[],[f20118]) ).
cnf(s2310,plain,
( spl2_344
| spl2_546
| spl2_551 ),
inference(sat_conversion,[],[f20129]) ).
cnf(s2321,plain,
( ~ spl2_2
| ~ spl2_20
| spl2_544
| ~ spl2_589 ),
inference(sat_conversion,[],[f20197]) ).
cnf(s2323,plain,
( ~ spl2_322
| ~ spl2_532
| ~ spl2_544 ),
inference(sat_conversion,[],[f20204]) ).
cnf(s2326,plain,
( spl2_542
| spl2_550
| spl2_593 ),
inference(sat_conversion,[],[f20217]) ).
cnf(s2333,plain,
( ~ spl2_534
| spl2_591 ),
inference(sat_conversion,[],[f20262]) ).
cnf(s2339,plain,
( ~ spl2_538
| ~ spl2_572
| ~ spl2_575 ),
inference(sat_conversion,[],[f20295]) ).
cnf(s2341,plain,
( ~ spl2_4
| ~ spl2_538
| ~ spl2_575
| spl2_589 ),
inference(sat_conversion,[],[f20299]) ).
cnf(s2347,plain,
( ~ spl2_160
| ~ spl2_551
| ~ spl2_580 ),
inference(sat_conversion,[],[f20346]) ).
cnf(s2355,plain,
( ~ spl2_437
| ~ spl2_536
| ~ spl2_593 ),
inference(sat_conversion,[],[f20400]) ).
cnf(s2360,plain,
( ~ spl2_11
| ~ spl2_167
| ~ spl2_168 ),
inference(sat_conversion,[],[f20405]) ).
cnf(s2361,plain,
( ~ spl2_11
| ~ spl2_191
| ~ spl2_322 ),
inference(sat_conversion,[],[f20407]) ).
cnf(s2362,plain,
( spl2_377
| ~ spl2_533
| spl2_560 ),
inference(sat_conversion,[],[f20408]) ).
cnf(s2363,plain,
( ~ spl2_4
| spl2_173
| ~ spl2_559
| ~ spl2_593 ),
inference(sat_conversion,[],[f20409]) ).
cnf(s2364,plain,
( ~ spl2_539
| spl2_544
| spl2_598 ),
inference(sat_conversion,[],[f20413]) ).
cnf(s2375,plain,
( ~ spl2_574
| spl2_591 ),
inference(sat_conversion,[],[f20465]) ).
cnf(s2377,plain,
( ~ spl2_76
| ~ spl2_393
| ~ spl2_500 ),
inference(sat_conversion,[],[f20481]) ).
cnf(s2379,plain,
( ~ spl2_160
| ~ spl2_322
| ~ spl2_500 ),
inference(sat_conversion,[],[f20484]) ).
cnf(s2380,plain,
( spl2_191
| ~ spl2_508
| ~ spl2_574 ),
inference(sat_conversion,[],[f20485]) ).
cnf(s2383,plain,
( spl2_191
| spl2_332
| spl2_558 ),
inference(sat_conversion,[],[f20489]) ).
cnf(s2398,plain,
( ~ spl2_168
| ~ spl2_191
| ~ spl2_317 ),
inference(sat_conversion,[],[f20610]) ).
cnf(s2402,plain,
( ~ spl2_162
| ~ spl2_539
| ~ spl2_542
| ~ spl2_566 ),
inference(sat_conversion,[],[f20652]) ).
cnf(s2404,plain,
( ~ spl2_539
| spl2_559
| spl2_599 ),
inference(sat_conversion,[],[f20657]) ).
cnf(s2406,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_168
| spl2_173 ),
inference(sat_conversion,[],[f20660]) ).
cnf(s2411,plain,
( spl2_414
| ~ spl2_508
| ~ spl2_581 ),
inference(sat_conversion,[],[f20695]) ).
cnf(s2436,plain,
( spl2_173
| ~ spl2_186
| spl2_332
| ~ spl2_574 ),
inference(sat_conversion,[],[f21082]) ).
cnf(s2465,plain,
( ~ spl2_334
| ~ spl2_408 ),
inference(sat_conversion,[],[f21138]) ).
cnf(s2469,plain,
( ~ spl2_167
| ~ spl2_308
| ~ spl2_327 ),
inference(sat_conversion,[],[f21156]) ).
cnf(s2479,plain,
( ~ spl2_2
| ~ spl2_314
| ~ spl2_574
| ~ spl2_581 ),
inference(sat_conversion,[],[f21230]) ).
cnf(s2488,plain,
( spl2_3
| ~ spl2_559
| spl2_572 ),
inference(sat_conversion,[],[f21274]) ).
cnf(s2490,plain,
( ~ spl2_313
| spl2_335
| spl2_408 ),
inference(sat_conversion,[],[f21309]) ).
cnf(s2491,plain,
( ~ spl2_308
| ~ spl2_313
| ~ spl2_437 ),
inference(sat_conversion,[],[f21311]) ).
cnf(s2492,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_414
| spl2_581 ),
inference(sat_conversion,[],[f21313]) ).
cnf(s2503,plain,
( spl2_347
| ~ spl2_537
| spl2_605 ),
inference(sat_conversion,[],[f21386]) ).
cnf(s2509,plain,
( ~ spl2_415
| spl2_564
| ~ spl2_574 ),
inference(sat_conversion,[],[f21416]) ).
cnf(s2515,plain,
( ~ spl2_308
| ~ spl2_535
| ~ spl2_582 ),
inference(sat_conversion,[],[f21477]) ).
cnf(s2516,plain,
( ~ spl2_296
| spl2_551
| ~ spl2_589 ),
inference(sat_conversion,[],[f21485]) ).
cnf(s2522,plain,
( ~ spl2_311
| ~ spl2_539
| ~ spl2_560 ),
inference(sat_conversion,[],[f21531]) ).
cnf(s2528,plain,
( spl2_551
| ~ spl2_566
| ~ spl2_598 ),
inference(sat_conversion,[],[f21571]) ).
cnf(s2529,plain,
( ~ spl2_357
| spl2_555
| ~ spl2_598 ),
inference(sat_conversion,[],[f21572]) ).
cnf(s2530,plain,
( spl2_414
| ~ spl2_558
| ~ spl2_592 ),
inference(sat_conversion,[],[f21573]) ).
cnf(s2531,plain,
( ~ spl2_317
| ~ spl2_532
| ~ spl2_593 ),
inference(sat_conversion,[],[f21575]) ).
cnf(s2545,plain,
( ~ spl2_173
| ~ spl2_210
| ~ spl2_296 ),
inference(sat_conversion,[],[f21665]) ).
cnf(s2546,plain,
( ~ spl2_149
| ~ spl2_210
| ~ spl2_590 ),
inference(sat_conversion,[],[f21666]) ).
cnf(s2560,plain,
( ~ spl2_79
| ~ spl2_317 ),
inference(sat_conversion,[],[f21758]) ).
cnf(s2562,plain,
( spl2_564
| ~ spl2_566
| ~ spl2_590 ),
inference(sat_conversion,[],[f21765]) ).
cnf(s2567,plain,
( ~ spl2_4
| spl2_20
| ~ spl2_544
| ~ spl2_559 ),
inference(sat_conversion,[],[f21790]) ).
cnf(s2570,plain,
( ~ spl2_191
| spl2_322
| spl2_323 ),
inference(sat_conversion,[],[f21805]) ).
cnf(s2577,plain,
( ~ spl2_2
| ~ spl2_20
| spl2_327
| ~ spl2_574 ),
inference(sat_conversion,[],[f21833]) ).
cnf(s2578,plain,
( ~ spl2_4
| spl2_20
| ~ spl2_347
| ~ spl2_575 ),
inference(sat_conversion,[],[f21834]) ).
cnf(s2587,plain,
( ~ spl2_3
| spl2_149 ),
inference(sat_conversion,[],[f21875]) ).
cnf(s2594,plain,
( spl2_171
| spl2_195
| ~ spl2_222 ),
inference(sat_conversion,[],[f21884]) ).
cnf(s2595,plain,
( spl2_3
| ~ spl2_76
| spl2_195 ),
inference(sat_conversion,[],[f21887]) ).
cnf(s2602,plain,
( spl2_9
| spl2_322
| ~ spl2_327 ),
inference(sat_conversion,[],[f21913]) ).
cnf(s2607,plain,
( ~ spl2_309
| spl2_591 ),
inference(sat_conversion,[],[f21964]) ).
cnf(s2615,plain,
( ~ spl2_191
| ~ spl2_335
| ~ spl2_414 ),
inference(sat_conversion,[],[f21990]) ).
cnf(s2622,plain,
( spl2_9
| ~ spl2_160
| spl2_167 ),
inference(sat_conversion,[],[f22018]) ).
cnf(s2629,plain,
( spl2_171
| ~ spl2_308
| spl2_317 ),
inference(sat_conversion,[],[f22054]) ).
cnf(s2630,plain,
( spl2_317
| spl2_323
| ~ spl2_500 ),
inference(sat_conversion,[],[f22065]) ).
cnf(s2634,plain,
( ~ spl2_19
| ~ spl2_160
| ~ spl2_500 ),
inference(sat_conversion,[],[f22135]) ).
cnf(s2639,plain,
( ~ spl2_2
| ~ spl2_173
| ~ spl2_566
| ~ spl2_581 ),
inference(sat_conversion,[],[f22184]) ).
cnf(s2642,plain,
( ~ spl2_3
| ~ spl2_564 ),
inference(sat_conversion,[],[f22194]) ).
cnf(s2650,plain,
( spl2_162
| ~ spl2_210 ),
inference(sat_conversion,[],[f22248]) ).
cnf(s2652,plain,
( spl2_340
| spl2_538
| spl2_539 ),
inference(sat_conversion,[],[f22259]) ).
cnf(s2656,plain,
( ~ spl2_9
| spl2_496
| ~ spl2_508 ),
inference(sat_conversion,[],[f22276]) ).
cnf(s2657,plain,
( ~ spl2_9
| ~ spl2_508
| spl2_614 ),
inference(sat_conversion,[],[f22282]) ).
cnf(s2666,plain,
( ~ spl2_535
| spl2_548
| spl2_561 ),
inference(sat_conversion,[],[f22343]) ).
cnf(s2671,plain,
( ~ spl2_163
| ~ spl2_548 ),
inference(sat_conversion,[],[f22404]) ).
cnf(s2675,plain,
( ~ spl2_163
| ~ spl2_565 ),
inference(sat_conversion,[],[f22442]) ).
cnf(s2679,plain,
( ~ spl2_353
| ~ spl2_533
| ~ spl2_539 ),
inference(sat_conversion,[],[f22463]) ).
cnf(s2680,plain,
( ~ spl2_314
| ~ spl2_534
| ~ spl2_599 ),
inference(sat_conversion,[],[f22481]) ).
cnf(s2682,plain,
( ~ spl2_314
| ~ spl2_533
| ~ spl2_605 ),
inference(sat_conversion,[],[f22498]) ).
cnf(s2683,plain,
( ~ spl2_311
| ~ spl2_591
| spl2_592 ),
inference(sat_conversion,[],[f22517]) ).
cnf(s2685,plain,
( ~ spl2_3
| ~ spl2_521 ),
inference(sat_conversion,[],[f22520]) ).
cnf(s2687,plain,
( spl2_9
| ~ spl2_13
| spl2_19 ),
inference(sat_conversion,[],[f22522]) ).
cnf(s2688,plain,
( spl2_410
| spl2_500
| ~ spl2_591 ),
inference(sat_conversion,[],[f22523]) ).
cnf(s2689,plain,
( ~ spl2_496
| ~ spl2_581 ),
inference(sat_conversion,[],[f22525]) ).
cnf(s2691,plain,
( ~ spl2_314
| spl2_347
| spl2_415 ),
inference(sat_conversion,[],[f22527]) ).
cnf(s2693,plain,
( ~ spl2_173
| ~ spl2_496 ),
inference(sat_conversion,[],[f22531]) ).
cnf(s2695,plain,
( spl2_340
| spl2_536
| spl2_537 ),
inference(sat_conversion,[],[f22534]) ).
cnf(s2696,plain,
( ~ spl2_311
| spl2_327
| spl2_353 ),
inference(sat_conversion,[],[f22535]) ).
cnf(s2699,plain,
( spl2_3
| ~ spl2_377
| spl2_393 ),
inference(sat_conversion,[],[f22538]) ).
cnf(s2705,plain,
( spl2_79
| ~ spl2_173
| spl2_176 ),
inference(sat_conversion,[],[f22566]) ).
cnf(s2709,plain,
( spl2_167
| ~ spl2_168
| spl2_171 ),
inference(sat_conversion,[],[f22570]) ).
cnf(s2716,plain,
( spl2_406
| spl2_408
| ~ spl2_414 ),
inference(sat_conversion,[],[f22606]) ).
cnf(s2717,plain,
( spl2_9
| ~ spl2_347
| spl2_406 ),
inference(sat_conversion,[],[f22609]) ).
cnf(s2720,plain,
( spl2_171
| ~ spl2_334
| spl2_437 ),
inference(sat_conversion,[],[f22665]) ).
cnf(s2723,plain,
( spl2_344
| spl2_575
| ~ spl2_614 ),
inference(sat_conversion,[],[f22680]) ).
cnf(s2724,plain,
( spl2_9
| ~ spl2_544
| spl2_580 ),
inference(sat_conversion,[],[f22683]) ).
cnf(s2725,plain,
( ~ spl2_167
| ~ spl2_334
| ~ spl2_347 ),
inference(sat_conversion,[],[f22699]) ).
cnf(s2727,plain,
( ~ spl2_20
| spl2_160
| ~ spl2_296 ),
inference(sat_conversion,[],[f22701]) ).
cnf(s2728,plain,
( ~ spl2_15
| spl2_168
| ~ spl2_590 ),
inference(sat_conversion,[],[f22702]) ).
cnf(s2731,plain,
( spl2_3
| ~ spl2_7
| spl2_17 ),
inference(sat_conversion,[],[f22710]) ).
cnf(s2734,plain,
( spl2_16
| spl2_160
| spl2_164
| spl2_181 ),
inference(sat_conversion,[],[f22727]) ).
cnf(s2737,plain,
( ~ spl2_544
| ~ spl2_561 ),
inference(sat_conversion,[],[f22743]) ).
cnf(s2747,plain,
( ~ spl2_551
| spl2_561
| spl2_582 ),
inference(sat_conversion,[],[f22791]) ).
cnf(s2748,plain,
( spl2_191
| ~ spl2_311
| ~ spl2_357
| ~ spl2_591 ),
inference(sat_conversion,[],[f22806]) ).
cnf(s2760,plain,
( ~ spl2_406
| ~ spl2_536
| ~ spl2_544 ),
inference(sat_conversion,[],[f22930]) ).
cnf(s2763,plain,
( spl2_323
| ~ spl2_532
| spl2_548 ),
inference(sat_conversion,[],[f22943]) ).
cnf(s2765,plain,
( ~ spl2_538
| spl2_561
| spl2_565 ),
inference(sat_conversion,[],[f22953]) ).
cnf(s2768,plain,
( ~ spl2_347
| ~ spl2_538
| ~ spl2_580 ),
inference(sat_conversion,[],[f22971]) ).
cnf(s2772,plain,
( ~ spl2_334
| ~ spl2_538
| ~ spl2_582 ),
inference(sat_conversion,[],[f23010]) ).
cnf(s2776,plain,
( spl2_160
| spl2_211 ),
inference(rat,[],[s1102,s1214]) ).
cnf(s2780,plain,
~ spl2_31,
inference(rat,[],[s875,s1214]) ).
cnf(s2783,plain,
~ spl2_247,
inference(rat,[],[s1254,s2780]) ).
cnf(s2790,plain,
( ~ spl2_20
| ~ spl2_176
| ~ spl2_278 ),
inference(rat,[],[s809,s1214]) ).
cnf(s2798,plain,
~ spl2_333,
inference(rat,[],[s652,s2783]) ).
cnf(s2805,plain,
( ~ spl2_5
| spl2_160
| ~ spl2_309
| spl2_327
| spl2_332 ),
inference(rat,[],[s578,s1214]) ).
cnf(s2813,plain,
( ~ spl2_70
| spl2_125
| spl2_308
| ~ spl2_310 ),
inference(rat,[],[s539,s1214]) ).
cnf(s2838,plain,
( ~ spl2_17
| ~ spl2_76
| ~ spl2_179 ),
inference(rat,[],[s321,s1214]) ).
cnf(s2839,plain,
( ~ spl2_76
| ~ spl2_157
| spl2_181 ),
inference(rat,[],[s300,s1214]) ).
cnf(s2847,plain,
( ~ spl2_5
| ~ spl2_171
| spl2_181 ),
inference(rat,[],[s242,s1214]) ).
cnf(s2906,plain,
( spl2_5
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s566,s1363,s2398,s2143,s2142,s2033,s732,s1828,s15,s204,s1074,s3,s971,s1247,s2030,s1214]) ).
cnf(s2907,plain,
( ~ spl2_7
| ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2725,s1976,s628,s1340,s1820,s2469,s1389,s1267,s2709,s1308,s1126,s1167,s1405,s1363,s2143,s2142,s2545,s732,s734,s1048,s15,s2406,s2731,s2906,s2,s1026,s2070,s1214]) ).
cnf(s2908,plain,
( ~ spl2_12
| ~ spl2_20
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1078,s2687,s2143,s16,s732]) ).
cnf(s2909,plain,
( ~ spl2_13
| ~ spl2_163
| spl2_9 ),
inference(rat,[],[s1078,s2687]) ).
cnf(s2910,plain,
( ~ spl2_308
| spl2_332
| spl2_209
| ~ spl2_167
| ~ spl2_163
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2042,s2545,s2652,s1048,s2765,s232,s2737,s231,s2679,s1986,s616,s2696,s1970,s1340,s1176,s2763,s1389,s2469,s1308,s2906,s2675,s2671,s1405,s1214]) ).
cnf(s2911,plain,
( ~ spl2_311
| ~ spl2_410
| ~ spl2_591
| spl2_332
| ~ spl2_163
| ~ spl2_168
| ~ spl2_5 ),
inference(rat,[],[s2398,s1122,s2748,s628,s1366,s2725,s2029,s2299,s1126,s1026,s2709,s1167]) ).
cnf(s2913,plain,
( ~ spl2_174
| spl2_332
| spl2_548
| ~ spl2_2 ),
inference(rat,[],[s2763,s1970,s1110,s1987,s2798]) ).
cnf(s2914,plain,
( ~ spl2_163
| spl2_11
| ~ spl2_77
| ~ spl2_20
| ~ spl2_168
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2725,s2029,s2255,s2639,s2184,s2147,s1340,s2911,s2181,s2157,s232,s231,s2913,s2607,s1363,s2910,s1826,s1250,s2909,s1267,s2709,s1167,s2671,s2906,s1165,s1026,s1214]) ).
cnf(s2915,plain,
( ~ spl2_533
| ~ spl2_410
| ~ spl2_314
| ~ spl2_437
| spl2_347
| spl2_340
| spl2_550 ),
inference(rat,[],[s2695,s2355,s2503,s2326,s2682,s2232]) ).
cnf(s2916,plain,
( ~ spl2_334
| spl2_574
| ~ spl2_591
| ~ spl2_311
| spl2_340
| spl2_550
| ~ spl2_160
| spl2_344
| spl2_332
| ~ spl2_20
| spl2_9
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2283,s2321,s2146,s2323,s1970,s2915,s2688,s2379,s1339,s2602,s2259,s628,s2255,s2720,s2725,s2906,s1168,s2622,s2276,s1214]) ).
cnf(s2917,plain,
( ~ spl2_309
| ~ spl2_311
| ~ spl2_173
| spl2_13
| ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2377,s2688,s2157,s2299,s2029,s2916,s2699,s2276,s2181,s2607,s1826,s1250,s72,s1140,s170,s2906,s2,s6,s2908,s1165,s2124,s2042,s1267,s1168,s2727,s1074,s2907,s1026,s2070,s2545,s1048]) ).
cnf(s2918,plain,
( ~ spl2_533
| ~ spl2_347
| ~ spl2_353
| ~ spl2_190
| spl2_340
| spl2_9
| ~ spl2_5 ),
inference(rat,[],[s2768,s2652,s2724,s2679,s1986]) ).
cnf(s2919,plain,
( ~ spl2_589
| ~ spl2_296
| ~ spl2_20
| spl2_9
| ~ spl2_2 ),
inference(rat,[],[s2347,s2724,s2516,s2321,s2727]) ).
cnf(s2920,plain,
( ~ spl2_311
| ~ spl2_173
| spl2_13
| ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s1970,s2918,s2146,s628,s2696,s2577,s1176,s2469,s1363,s2917,s1826,s1250,s72,s1140,s170,s2906,s2,s6,s2908,s2622,s2042,s1267,s1168,s2727,s1026,s2545,s2283,s2919,s1048,s1074,s2907,s1165,s2070,s1214]) ).
cnf(s2921,plain,
( ~ spl2_308
| ~ spl2_312
| ~ spl2_167
| ~ spl2_173
| spl2_332
| ~ spl2_20
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2184,s2639,s2147,s2029,s2577,s2211,s2469,s2629,s1168,s2727,s1048]) ).
cnf(s2922,plain,
( ~ spl2_312
| ~ spl2_167
| ~ spl2_2
| ~ spl2_173
| spl2_332
| ~ spl2_20
| ~ spl2_4 ),
inference(rat,[],[s2725,s2029,s2255,s2639,s2184,s2147,s2181,s1363,s2921,s1214]) ).
cnf(s2923,plain,
( ~ spl2_173
| spl2_13
| ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2922,s1340,s2920,s2622,s2727,s1048,s2,s1826,s1250,s6,s2908,s1074,s1165,s2070,s72,s2907,s1214]) ).
cnf(s2924,plain,
( ~ spl2_308
| ~ spl2_195
| ~ spl2_167
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s2276,s2577,s1846,s2469]) ).
cnf(s2925,plain,
( ~ spl2_334
| ~ spl2_167
| spl2_173
| ~ spl2_20
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2184,s2255,s2163,s2725]) ).
cnf(s2926,plain,
( ~ spl2_500
| ~ spl2_76
| ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2630,s2069,s2398,s2577,s2380,s2276,s2699,s2377,s2070,s2269,s1074,s2907]) ).
cnf(s2927,plain,
( ~ spl2_559
| spl2_574
| ~ spl2_410
| spl2_173
| spl2_332
| ~ spl2_4 ),
inference(rat,[],[s2232,s1970,s2307,s2146,s2363]) ).
cnf(s2928,plain,
( spl2_574
| ~ spl2_312
| ~ spl2_410
| spl2_340
| spl2_173
| spl2_332
| ~ spl2_20
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2760,s2695,s2321,s2226,s2283,s2927,s2716,s2411,s2184,s2147,s2269,s2095]) ).
cnf(s2929,plain,
( ~ spl2_533
| ~ spl2_574
| ~ spl2_410
| spl2_550
| spl2_173
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2363,s2326,s2233,s2232]) ).
cnf(s2930,plain,
( spl2_13
| ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2402,s2307,s2652,s2363,s2341,s2283,s2321,s2323,s1970,s2929,s2184,s2253,s2602,s2577,s2928,s1340,s2299,s2688,s2926,s2029,s2925,s2042,s2124,s2258,s2096,s2607,s1363,s2924,s2595,s1267,s2709,s232,s1169,s2923,s1826,s1250,s1026,s220,s2914,s6,s2908,s1165,s72,s1074,s2907,s2070,s2,s1214]) ).
cnf(s2931,plain,
( ~ spl2_173
| spl2_209
| spl2_500
| ~ spl2_160
| ~ spl2_20
| spl2_9
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2029,s2299,s2916,s2688,s2333,s1971,s1340,s2248,s2922,s2276,s1137,s2042,s2124,s1820,s2156,s2919,s2545,s1048,s2622,s2012,s1214]) ).
cnf(s2932,plain,
( ~ spl2_6
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2307,s2402,s2363,s2652,s2283,s2341,s2321,s2184,s2323,s2253,s1970,s2602,s2929,s2577,s2928,s1340,s2299,s2029,s2042,s2124,s1820,s2258,s2688,s2096,s2607,s1363,s2924,s2595,s2925,s232,s2931,s1267,s2634,s2622,s1168,s2077,s2687,s2930,s220,s2914,s6,s2908,s72,s1074,s2907,s1026,s1165,s2070,s2,s1214]) ).
cnf(s2933,plain,
( ~ spl2_308
| ~ spl2_533
| spl2_344
| ~ spl2_311
| ~ spl2_167
| spl2_171
| spl2_9
| ~ spl2_20
| spl2_210
| ~ spl2_173
| ~ spl2_5 ),
inference(rat,[],[s1267,s2042,s2790,s2918,s2705,s628,s2696,s1176,s2560,s2469,s2629]) ).
cnf(s2934,plain,
( spl2_209
| ~ spl2_393
| spl2_574
| spl2_344
| spl2_332
| ~ spl2_20
| ~ spl2_173
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2299,s2029,s2157,s2916,s2377,s2042,s2124,s2931,s2333,s1971,s2248,s2276,s1363,s2933,s1970,s2146,s2283,s2919,s1340,s2922,s2622,s1168,s2727,s2656,s2269,s2693,s2545,s1048,s2906,s1214]) ).
cnf(s2935,plain,
( ~ spl2_278
| ~ spl2_20
| ~ spl2_162 ),
inference(rat,[],[s2264,s1073,s1026]) ).
cnf(s2936,plain,
( ~ spl2_20
| ~ spl2_173
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2934,s1820,s2699,s2276,s2577,s2602,s2379,s1137,s2931,s1267,s2935,s1168,s2656,s2727,s2269,s2,s2693,s235,s2545,s1048]) ).
cnf(s2937,plain,
( spl2_340
| ~ spl2_308
| ~ spl2_334
| ~ spl2_347
| ~ spl2_353
| ~ spl2_311
| ~ spl2_190
| spl2_574
| spl2_332
| spl2_9
| ~ spl2_296
| ~ spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2522,s2208,s2652,s1971,s2772,s2515,s2747,s2516,s2283,s2146,s2193,s1970,s2918]) ).
cnf(s2938,plain,
( ~ spl2_311
| spl2_344
| spl2_327
| spl2_574
| spl2_332
| spl2_20
| ~ spl2_173
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s1267,s1008,s2042,s2937,s2035,s2013,s1295,s1363,s1336,s2805,s2776,s2622,s2725,s2029,s2639,s2184,s2578,s628,s2696,s2906,s2545,s1048,s802,s2249,s1074,s1176,s1214]) ).
cnf(s2939,plain,
( ~ spl2_308
| spl2_317
| spl2_327
| spl2_191 ),
inference(rat,[],[s1336,s1295,s2776,s2012,s1168,s2630,s2629,s1308]) ).
cnf(s2940,plain,
( ~ spl2_323
| spl2_550
| ~ spl2_410
| spl2_347
| ~ spl2_437
| spl2_340
| ~ spl2_334
| spl2_574
| spl2_332
| ~ spl2_296
| ~ spl2_4 ),
inference(rat,[],[s2747,s2772,s2516,s2652,s2283,s2404,s2146,s2193,s2680,s1970,s1971,s2915,s2063,s2068]) ).
cnf(s2941,plain,
( ~ spl2_533
| ~ spl2_426
| ~ spl2_160
| spl2_344
| ~ spl2_190
| spl2_9
| ~ spl2_5 ),
inference(rat,[],[s2347,s2310,s2724,s2243,s1986]) ).
cnf(s2942,plain,
( spl2_344
| spl2_574
| spl2_332
| ~ spl2_17
| spl2_20
| ~ spl2_173
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2695,s2226,s2026,s2146,s1970,s2941,s1295,s2012,s1389,s2630,s2940,s2124,s1267,s1026,s2157,s2725,s2720,s2264,s1094,s2622,s1168,s2100,s2805,s2038,s1363,s2939,s2211,s2029,s2639,s2184,s2147,s1340,s2938,s2906,s235,s2545,s1048,s802,s2383,s2249,s1074,s1176,s2150,s1214]) ).
cnf(s2943,plain,
( ~ spl2_13
| spl2_20
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2143,s732,s2909,s214,s802]) ).
cnf(s2944,plain,
( ~ spl2_347
| ~ spl2_167
| spl2_332
| spl2_20
| ~ spl2_173
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2639,s2029,s2184,s2725,s2578]) ).
cnf(s2945,plain,
( ~ spl2_533
| ~ spl2_190
| ~ spl2_574
| spl2_20
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2567,s1986,s2233,s2906]) ).
cnf(s2946,plain,
( ~ spl2_167
| spl2_332
| ~ spl2_173
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s1971,s2515,s2205,s2747,s2488,s2516,s2339,s2341,s2652,s2402,s2307,s2193,s2531,s1970,s2945,s2042,s1267,s1026,s2264,s1980,s2492,s2184,s2639,s2029,s2211,s1340,s628,s2944,s1176,s2469,s235,s2545,s2035,s2630,s1308,s1363,s2181,s2013,s2156,s2942,s1140,s170,s2943,s2906,s204,s2731,s1074,s2936,s2,s1048,s1214]) ).
cnf(s2947,plain,
( spl2_334
| ~ spl2_169
| spl2_332
| spl2_344
| ~ spl2_7
| ~ spl2_173
| ~ spl2_4
| ~ spl2_2 ),
inference(rat,[],[s2492,s2639,s1980,s2029]) ).
cnf(s2948,plain,
( ~ spl2_533
| spl2_340
| spl2_377
| ~ spl2_575
| ~ spl2_311
| ~ spl2_574
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2339,s2652,s2488,s2522,s2233,s2362]) ).
cnf(s2950,plain,
( ~ spl2_340
| spl2_171
| spl2_210 ),
inference(rat,[],[s1267,s1008,s2042]) ).
cnf(s2951,plain,
( ~ spl2_572
| spl2_544
| spl2_340
| ~ spl2_357
| ~ spl2_575
| ~ spl2_7 ),
inference(rat,[],[s2364,s2652,s2529,s2339,s2223]) ).
cnf(s2952,plain,
( spl2_332
| ~ spl2_173
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2515,s2747,s1971,s2516,s2205,s2283,s2488,s2951,s2323,s2193,s1970,s2948,s2950,s2250,s2602,s628,s1366,s2578,s2184,s2479,s1339,s2491,s1340,s2720,s2211,s2947,s2264,s2709,s2946,s2630,s2035,s1308,s2013,s1363,s2156,s2181,s2942,s235,s2545,s1048,s802,s2731,s1140,s170,s2943,s2906,s204,s2,s1074,s2936,s1214]) ).
cnf(s2953,plain,
( ~ spl2_173
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s1828,s2952,s170,s2943,s204,s1074,s2936,s2906,s2]) ).
cnf(s2954,plain,
( ~ spl2_334
| ~ spl2_532
| spl2_559
| spl2_340
| ~ spl2_574
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2026,s2490,s2695,s1339,s2226,s2479,s2184,s2163,s2465,s2,s2953,s1214]) ).
cnf(s2955,plain,
( ~ spl2_574
| spl2_20
| spl2_332
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2490,s2026,s1339,s2695,s2479,s2025,s1381,s2492,s595,s1980,s2954,s2264,s220,s2671,s2666,s2193,s1971,s1970,s2205,s2233,s2117,s613,s2043,s2123,s1267,s738,s1771,s2436,s1169,s2406,s2838,s330,s2839,s762,s1140,s2131,s170,s2943,s204,s2776,s223,s1094,s2731,s1074,s232,s2953,s2906,s2,s1214]) ).
cnf(s2956,plain,
( spl2_20
| spl2_332
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s1363,s2805,s1846,s2150,s2276,s2955,s1094,s2731,s1074,s2906,s2,s2595,s232,s2953,s1214]) ).
cnf(s2957,plain,
( spl2_559
| ~ spl2_574
| ~ spl2_20
| spl2_332
| ~ spl2_2 ),
inference(rat,[],[s2323,s1970,s2321,s2233,s2283,s2570,s2380,s2269,s2069,s2577]) ).
cnf(s2959,plain,
( ~ spl2_334
| ~ spl2_574
| ~ spl2_508
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2490,s2615,s1339,s2411,s2479,s2184,s2163,s2465,s2,s2953,s2380,s1214]) ).
cnf(s2960,plain,
( ~ spl2_581
| ~ spl2_574
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s2490,s2615,s1339,s1381,s2411,s2479,s2255,s2380,s2269,s1214]) ).
cnf(s2961,plain,
( ~ spl2_532
| spl2_538
| spl2_598
| spl2_334
| ~ spl2_322 ),
inference(rat,[],[s2652,s2364,s2040,s2323]) ).
cnf(s2962,plain,
( ~ spl2_574
| spl2_332
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s1267,s2043,s2652,s223,s2776,s2402,s2935,s2379,s220,s2688,s231,s2232,s1987,s1970,s2961,s2339,s2184,s2960,s2528,s2029,s2959,s2222,s2307,s2488,s2363,s2957,s2570,s2069,s2380,s2577,s2375,s2906,s2,s1169,s232,s2953,s2269,s2956]) ).
cnf(s2963,plain,
( spl2_332
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2760,s2695,s2717,s2657,s2226,s2255,s2723,s2184,s2163,s2029,s2299,s1340,s2321,s2928,s2283,s1137,s2950,s2927,s1267,s2258,s2688,s2935,s2096,s2607,s220,s1363,s1105,s2377,s1846,s2699,s2276,s2962,s2269,s2956,s2,s1169,s2595,s232,s2953,s1214]) ).
cnf(s2964,plain,
( spl2_20
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s170,s1828,s2943,s204,s1074,s2906,s2,s2963]) ).
cnf(s2965,plain,
( ~ spl2_145
| spl2_325
| ~ spl2_5
| spl2_3 ),
inference(rat,[],[s2731,s2079,s1246,s170,s1249]) ).
cnf(s2966,plain,
( ~ spl2_574
| spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2361,s2570,s2069,s2380,s2577,s2269,s1828,s2965,s1257,s1045,s2964,s2932,s2906,s2,s2963]) ).
cnf(s2967,plain,
( spl2_3
| ~ spl2_2 ),
inference(rat,[],[s2258,s2096,s1363,s1846,s2276,s2966,s1820,s1267,s2935,s2964,s220,s231,s1806,s2963,s2595,s232,s1169,s2953,s2,s1214]) ).
cnf(s2970,plain,
( spl2_16
| ~ spl2_500
| spl2_9
| ~ spl2_3 ),
inference(rat,[],[s2687,s2634,s8,s2734,s759,s10,s1214]) ).
cnf(s2972,plain,
( ~ spl2_334
| ~ spl2_167
| ~ spl2_500
| spl2_415
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s1067,s1363,s1634,s2491,s2490,s1339,s2304,s2720,s2465,s2587,s67,s2035,s1214]) ).
cnf(s2973,plain,
( ~ spl2_308
| spl2_335
| ~ spl2_167
| ~ spl2_3 ),
inference(rat,[],[s1340,s624,s1389,s2469,s1308,s67,s2090,s2685,s1214]) ).
cnf(s2974,plain,
( ~ spl2_574
| spl2_20
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s2691,s2068,s2717,s2570,s1633,s2379,s547,s1067,s2101,s2813,s1363,s2973,s1405,s2950,s220,s2650,s2240,s2562,s2029,s2972,s2709,s2594,s1834,s1835,s2970,s2035,s2688,s2244,s2509,s2375,s2642,s67,s2090,s2238,s2587,s2685,s1074,s802,s1214]) ).
cnf(s2975,plain,
( ~ spl2_308
| ~ spl2_334
| ~ spl2_162
| spl2_171
| ~ spl2_377
| ~ spl2_3 ),
inference(rat,[],[s2709,s2469,s2728,s624,s2240,s1340,s2594,s2211,s1846,s2629,s67,s10,s2090,s2685,s1214]) ).
cnf(s2976,plain,
( spl2_308
| ~ spl2_162
| spl2_171
| spl2_20
| ~ spl2_3 ),
inference(rat,[],[s1835,s2594,s2970,s2240,s2089,s2286,s2813,s1363,s67,s2090,s2685,s1074,s802,s1214]) ).
cnf(s2977,plain,
( ~ spl2_162
| spl2_171
| spl2_20
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s2562,s2240,s2029,s2594,s2975,s1846,s2976,s2642,s2276,s2974]) ).
cnf(s2978,plain,
( spl2_171
| spl2_20
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s2716,s1367,s2095,s2691,s1340,s2068,s624,s1176,s2570,s2602,s2717,s2379,s1633,s547,s575,s1067,s2813,s1363,s2973,s2709,s1834,s2970,s1405,s2013,s2950,s220,s1282,s2650,s2977,s2587,s67,s2090,s2685,s802,s1214]) ).
cnf(s2979,plain,
( ~ spl2_171
| spl2_332
| ~ spl2_2 ),
inference(rat,[],[s2639,s2029,s2282,s2465,s2490,s1833,s1137,s1339,s2545,s2301,s2033,s2734,s1048,s2688,s2847,s1168,s1169,s1323,s2035,s759,s2238,s2587,s2685,s2967,s1214]) ).
cnf(s2980,plain,
( ~ spl2_574
| ~ spl2_20
| ~ spl2_2 ),
inference(rat,[],[s2398,s1834,s2630,s2970,s1347,s2069,s2688,s2380,s2577,s2375,s2238,s2587,s2685,s2967,s2269,s1214]) ).
cnf(s2983,plain,
( ~ spl2_308
| ~ spl2_334
| ~ spl2_377
| spl2_171
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s2383,s2530,s1347,s1348,s2970,s1834,s2709,s2973,s2683,s2301,s1405,s2013,s1340,s1339,s220,s1282,s2211,s2491,s2975,s2629,s2720,s1214]) ).
cnf(s2984,plain,
( ~ spl2_334
| ~ spl2_377
| spl2_171
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s1367,s1176,s2691,s1339,s2602,s2716,s2717,s2490,s1347,s2379,s1633,s1634,s547,s2089,s575,s1067,s2813,s1363,s2983,s2465,s2587,s67,s2090,s2685,s1214]) ).
cnf(s2985,plain,
( ~ spl2_308
| ~ spl2_377
| ~ spl2_508
| spl2_171
| spl2_332
| ~ spl2_3 ),
inference(rat,[],[s2301,s1339,s2683,s2490,s2530,s2282,s2383,s2689,s1347,s1348,s2656,s2970,s1834,s1340,s2709,s1389,s2973,s1405,s2013,s220,s1282,s2240,s2594,s1846,s1308,s2562,s2029,s2984,s2642,s1214]) ).
cnf(s2986,plain,
( spl2_332
| ~ spl2_2 ),
inference(rat,[],[s1367,s2691,s2716,s1339,s2282,s1176,s2062,s2255,s2602,s2570,s2717,s1347,s2379,s1633,s547,s2089,s575,s1067,s2813,s1363,s2985,s2276,s2980,s2269,s2978,s2979,s2587,s67,s2090,s2685,s2967,s1214]) ).
cnf(s2987,plain,
( ~ spl2_16
| spl2_171
| ~ spl2_7
| ~ spl2_2 ),
inference(rat,[],[s2240,s2546,s2650,s1820,s1267,s2594,s1026,s1835,s1834,s2587,s2967,s2986,s1214]) ).
cnf(s2988,plain,
( spl2_171
| spl2_20
| ~ spl2_2 ),
inference(rat,[],[s1820,s2260,s1267,s1295,s1026,s2469,s1807,s2813,s2012,s2089,s2622,s2970,s2734,s2987,s759,s67,s2090,s2685,s2967,s2986,s1074,s802,s1214]) ).
cnf(s2989,plain,
( ~ spl2_171
| ~ spl2_2 ),
inference(rat,[],[s2545,s1048,s1820,s1169,s1323,s2986]) ).
cnf(s2990,plain,
( ~ spl2_168
| ~ spl2_500
| ~ spl2_2 ),
inference(rat,[],[s1246,s1249,s1828,s2987,s2360,s2970,s2709,s1165,s2967,s2986,s2989]) ).
cnf(s2991,plain,
( ~ spl2_500
| ~ spl2_2 ),
inference(rat,[],[s1347,s547,s2970,s2813,s1834,s1807,s2990,s67,s2090,s2685,s2967,s2986,s1214]) ).
cnf(s2992,plain,
~ spl2_2,
inference(rat,[],[s2546,s1820,s2240,s1267,s2594,s2935,s1846,s1282,s2813,s2012,s2089,s2991,s2276,s2980,s2988,s2989,s2986,s2090,s67,s2587,s2685,s2967]) ).
cnf(s2993,plain,
spl2_1,
inference(rat,[],[s70,s2992]) ).
cnf(s2994,plain,
~ spl2_322,
inference(rat,[],[s1355,s2993]) ).
cnf(s2995,plain,
~ spl2_335,
inference(rat,[],[s1333,s2993]) ).
cnf(s2996,plain,
~ spl2_406,
inference(rat,[],[s1320,s2993]) ).
cnf(s2999,plain,
~ spl2_317,
inference(rat,[],[s1154,s2993]) ).
cnf(s3000,plain,
~ spl2_278,
inference(rat,[],[s1117,s2993]) ).
cnf(s3001,plain,
~ spl2_167,
inference(rat,[],[s241,s2993]) ).
cnf(s3003,plain,
( spl2_171
| spl2_9
| spl2_332 ),
inference(rat,[],[s2805,s2030,s1363,s2709,s2629,s2602,s2622,s1214,s3001,s2999,s2994]) ).
cnf(s3004,plain,
( spl2_20
| spl2_332 ),
inference(rat,[],[s1364,s1363,s2691,s1324,s2068,s2570,s2170,s2042,s1336,s2260,s1295,s2012,s1323,s2035,s2067,s3003,s2776,s2622,s2717,s2602,s802,s1074,s1214,s2993,s2994,s3001,s2996]) ).
cnf(s3005,plain,
( spl2_171
| ~ spl2_4
| spl2_332 ),
inference(rat,[],[s1365,s1176,s2068,s231,s1122,s2950,s2630,s220,s2650,s2688,s2157,s2264,s1337,s2607,s1164,s1347,s1348,s1343,s1363,s3003,s2709,s2629,s2999,s1214,s3001]) ).
cnf(s3006,plain,
( ~ spl2_308
| ~ spl2_171
| spl2_332 ),
inference(rat,[],[s2490,s1339,s2465,s2301,s1980,s2683,s2264,s2530,s1165,s1348,s2602,s1340,s2939,s2383,s1389,s2570,s1308,s235,s1169,s1142,s223,s971,s3004,s1323,s2776,s1168,s2995,s1214,s2994,s2999]) ).
cnf(s3007,plain,
( ~ spl2_171
| spl2_332 ),
inference(rat,[],[s1343,s1337,s1165,s2570,s2602,s2069,s2805,s2157,s1363,s3006,s1168,s2036,s971,s3004,s1214,s2994]) ).
cnf(s3008,plain,
spl2_332,
inference(rat,[],[s2813,s2090,s67,s2685,s547,s2,s1347,s3005,s3003,s2629,s3007,s2999]) ).
cnf(s3011,plain,
spl2_171,
inference(rat,[],[s2096,s2258,s2650,s1820,s1363,s1267,s2629,s3008,s1214,s3000,s2999]) ).
cnf(s3015,plain,
~ spl2_500,
inference(rat,[],[s2035,s3011]) ).
cnf(s3016,plain,
~ spl2_209,
inference(rat,[],[s1323,s3011]) ).
cnf(s3019,plain,
~ spl2_160,
inference(rat,[],[s1168,s3011]) ).
cnf(s3025,plain,
spl2_351,
inference(rat,[],[s2012,s3015]) ).
cnf(s3027,plain,
spl2_210,
inference(rat,[],[s1820,s3008,s3016]) ).
cnf(s3033,plain,
spl2_211,
inference(rat,[],[s2776,s3019]) ).
cnf(s3037,plain,
~ spl2_426,
inference(rat,[],[s2257,s3027,s3025]) ).
cnf(s3044,plain,
~ spl2_161,
inference(rat,[],[s1819,s3008,s3016,s3033]) ).
cnf(s3048,plain,
spl2_327,
inference(rat,[],[s1295,s3025,s3037]) ).
cnf(s3053,plain,
~ spl2_5,
inference(rat,[],[s223,s3019,s3044]) ).
cnf(s3056,plain,
spl2_9,
inference(rat,[],[s2602,s2994,s3048]) ).
cnf(s3069,plain,
~ spl2_20,
inference(rat,[],[s971,s3053]) ).
cnf(s3075,plain,
$false,
inference(rat,[],[s802,s3069,s3056]) ).
thf(f23011,plain,
$false,
inference(avatar_sat_refutation,[],[s3075]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRA088^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 18:55:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running higher-order theorem proving
% 0.09/0.13 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
% 0.09/0.21 % (536483)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.21 % (536494)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.21 % (536494)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
% 0.09/0.21 % (536489)lrs+10_16_si=on:nwc=1.5:random_seed=492059833:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.21 % (536493)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2942404779:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.21 % (536490)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2673308730:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.21 % (536488)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=191502538:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.21 % (536492)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1290226534:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.21 % (536491)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=3488167467: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)
% 0.09/0.21 % (536494)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=2611664361:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.21 % (536490)Instruction limit reached!
% 0.09/0.21 % (536490)------------------------------
% 0.09/0.21 % (536490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.21 % (536490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.21 % (536490)CaDiCaL version: 2.1.3
% 0.09/0.21 % (536490)Termination reason: Instruction limit
% 0.09/0.21 % (536490)Termination phase: Saturation
% 0.09/0.21 % (536490)Time elapsed: 0.001 s
% 0.09/0.21 % (536490)Peak memory usage: 12 MB
% 0.09/0.21 % (536490)Instructions burned: 4 (million)
% 0.09/0.21 % (536489)Instruction limit reached!
% 0.09/0.21 % (536489)------------------------------
% 0.09/0.21 % (536489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.21 % (536489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.21 % (536489)CaDiCaL version: 2.1.3
% 0.09/0.21 % (536489)Termination reason: Instruction limit
% 0.09/0.21 % (536489)Termination phase: Saturation
% 0.09/0.21 % (536489)Time elapsed: 0.006 s
% 0.09/0.21 % (536489)Peak memory usage: 12 MB
% 0.09/0.21 % (536489)Instructions burned: 22 (million)
% 0.09/0.21 % (536492)Instruction limit reached!
% 0.09/0.21 % (536492)------------------------------
% 0.09/0.21 % (536492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.21 % (536492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.21 % (536492)CaDiCaL version: 2.1.3
% 0.09/0.21 % (536492)Termination reason: Instruction limit
% 0.09/0.21 % (536492)Termination phase: Saturation
% 0.09/0.21 % (536492)Time elapsed: 0.008 s
% 0.09/0.21 % (536492)Peak memory usage: 12 MB
% 0.09/0.21 % (536492)Instructions burned: 28 (million)
% 0.09/0.21 % (536502)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3391505667:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.09/0.21 % (536502)Instruction limit reached!
% 0.09/0.21 % (536502)------------------------------
% 0.09/0.21 % (536502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.21 % (536502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.21 % (536502)CaDiCaL version: 2.1.3
% 0.09/0.21 % (536502)Termination reason: Instruction limit
% 0.09/0.21 % (536502)Termination phase: Saturation
% 0.09/0.21 % (536502)Time elapsed: 0.003 s
% 0.09/0.21 % (536502)Peak memory usage: 12 MB
% 0.09/0.21 % (536502)Instructions burned: 9 (million)
% 0.09/0.21 % (536503)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1881192568:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.09/0.21 % (536504)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.22 % (536504)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=535577231:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.09/0.22 % (536503)Instruction limit reached!
% 0.09/0.22 % (536503)------------------------------
% 0.09/0.22 % (536503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (536503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (536503)CaDiCaL version: 2.1.3
% 0.09/0.22 % (536503)Termination reason: Instruction limit
% 0.09/0.22 % (536503)Termination phase: Saturation
% 0.09/0.22 % (536503)Time elapsed: 0.002 s
% 0.09/0.22 % (536503)Peak memory usage: 12 MB
% 0.09/0.22 % (536503)Instructions burned: 6 (million)
% 0.09/0.22 % (536488)Instruction limit reached!
% 0.09/0.22 % (536488)------------------------------
% 0.09/0.22 % (536488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (536488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (536488)CaDiCaL version: 2.1.3
% 0.09/0.22 % (536488)Termination reason: Instruction limit
% 0.09/0.22 % (536488)Termination phase: Saturation
% 0.09/0.22 % (536488)Time elapsed: 0.019 s
% 0.09/0.22 % (536488)Peak memory usage: 12 MB
% 0.09/0.22 % (536488)Instructions burned: 89 (million)
% 0.09/0.22 % (536493)Instruction limit reached!
% 0.09/0.22 % (536493)------------------------------
% 0.09/0.22 % (536493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (536493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (536493)CaDiCaL version: 2.1.3
% 0.09/0.22 % (536493)Termination reason: Instruction limit
% 0.09/0.22 % (536493)Termination phase: Saturation
% 0.09/0.22 % (536493)Time elapsed: 0.019 s
% 0.09/0.22 % (536493)Peak memory usage: 12 MB
% 0.09/0.22 % (536493)Instructions burned: 78 (million)
% 0.09/0.22 % (536504)Instruction limit reached!
% 0.09/0.22 % (536504)------------------------------
% 0.09/0.22 % (536504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (536504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (536504)CaDiCaL version: 2.1.3
% 0.09/0.22 % (536504)Termination reason: Instruction limit
% 0.09/0.22 % (536504)Termination phase: Saturation
% 0.09/0.22 % (536504)Time elapsed: 0.003 s
% 0.09/0.22 % (536504)Peak memory usage: 12 MB
% 0.09/0.22 % (536504)Instructions burned: 10 (million)
% 0.09/0.22 % (536506)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=888757767:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.09/0.22 % (536509)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
% 0.09/0.22 % (536509)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.22 % (536509)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3584431557:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.09/0.22 % (536510)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=1014839151:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.09/0.22 % (536512)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.09/0.22 % (536511)lrs+10_1_si=on:cs=on:random_seed=2588467162:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.09/0.22 % (536506)Instruction limit reached!
% 0.09/0.22 % (536506)------------------------------
% 0.09/0.22 % (536506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (536506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (536506)CaDiCaL version: 2.1.3
% 0.09/0.22 % (536506)Termination reason: Instruction limit
% 0.09/0.22 % (536506)Termination phase: Saturation
% 0.09/0.22 % (536506)Time elapsed: 0.004 s
% 0.09/0.22 % (536506)Peak memory usage: 12 MB
% 0.09/0.22 % (536506)Instructions burned: 15 (million)
% 0.09/0.24 % (536512)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=4196741178:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.09/0.24 % (536494)Instruction limit reached!
% 0.09/0.24 % (536494)------------------------------
% 0.09/0.24 % (536494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (536494)CaDiCaL version: 2.1.3
% 0.09/0.24 % (536494)Termination reason: Instruction limit
% 0.09/0.24 % (536494)Termination phase: Saturation
% 0.09/0.24 % (536494)Time elapsed: 0.033 s
% 0.09/0.24 % (536494)Peak memory usage: 12 MB
% 0.09/0.24 % (536494)Instructions burned: 159 (million)
% 0.09/0.24 % (536511)Instruction limit reached!
% 0.09/0.24 % (536511)------------------------------
% 0.09/0.24 % (536511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (536511)CaDiCaL version: 2.1.3
% 0.09/0.24 % (536511)Termination reason: Instruction limit
% 0.09/0.24 % (536511)Termination phase: Saturation
% 0.09/0.24 % (536511)Time elapsed: 0.003 s
% 0.09/0.24 % (536511)Peak memory usage: 12 MB
% 0.09/0.24 % (536511)Instructions burned: 12 (million)
% 0.09/0.24 % (536512)Instruction limit reached!
% 0.09/0.24 % (536512)------------------------------
% 0.09/0.24 % (536512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (536512)CaDiCaL version: 2.1.3
% 0.09/0.24 % (536512)Termination reason: Instruction limit
% 0.09/0.24 % (536512)Termination phase: Saturation
% 0.09/0.24 % (536512)Time elapsed: 0.002 s
% 0.09/0.24 % (536512)Peak memory usage: 12 MB
% 0.09/0.24 % (536512)Instructions burned: 8 (million)
% 0.09/0.24 % (536509)Instruction limit reached!
% 0.09/0.24 % (536509)------------------------------
% 0.09/0.24 % (536509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (536509)CaDiCaL version: 2.1.3
% 0.09/0.24 % (536509)Termination reason: Instruction limit
% 0.09/0.24 % (536509)Termination phase: Saturation
% 0.09/0.24 % (536509)Time elapsed: 0.008 s
% 0.09/0.24 % (536509)Peak memory usage: 12 MB
% 0.09/0.24 % (536509)Instructions burned: 30 (million)
% 0.09/0.24 % (536517)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3745064014:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.09/0.24 % (536517)Refutation not found, incomplete strategy
% 0.09/0.24 % (536517)------------------------------
% 0.09/0.24 % (536517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (536517)CaDiCaL version: 2.1.3
% 0.09/0.24 % (536517)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.24 % (536517)Time elapsed: 0.0000 s
% 0.09/0.24 % (536517)Peak memory usage: 11 MB
% 0.09/0.24 % (536517)------------------------------
% 0.09/0.24 % (536517)------------------------------
% 0.09/0.24 % (536519)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1538547327:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.09/0.24 % (536520)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=674572659:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.09/0.24 % (536519)Refutation not found, incomplete strategy
% 0.09/0.24 % (536519)------------------------------
% 0.09/0.24 % (536519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (536519)CaDiCaL version: 2.1.3
% 0.09/0.24 % (536519)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.24 % (536519)Time elapsed: 0.0000 s
% 0.09/0.24 % (536519)Peak memory usage: 11 MB
% 0.09/0.24 % (536520)Refutation not found, incomplete strategy
% 0.09/0.24 % (536520)------------------------------
% 0.09/0.24 % (536520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (536520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.26 % (536520)CaDiCaL version: 2.1.3
% 0.63/0.26 % (536520)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.26 % (536520)Time elapsed: 0.0000 s
% 0.63/0.26 % (536520)Peak memory usage: 11 MB
% 0.63/0.26 % (536519)------------------------------
% 0.63/0.26 % (536519)------------------------------
% 0.63/0.26 % (536521)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=628626478:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.26 % (536520)------------------------------
% 0.63/0.26 % (536520)------------------------------
% 0.63/0.26 % (536522)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1048825630:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.63/0.26 % (536522)Refutation not found, incomplete strategy
% 0.63/0.26 % (536522)------------------------------
% 0.63/0.26 % (536522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.26 % (536522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.26 % (536522)CaDiCaL version: 2.1.3
% 0.63/0.26 % (536522)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.26 % (536522)Time elapsed: 0.0000 s
% 0.63/0.26 % (536522)Peak memory usage: 11 MB
% 0.63/0.26 % (536522)Instructions burned: 1 (million)
% 0.63/0.26 % (536522)------------------------------
% 0.63/0.26 % (536522)------------------------------
% 0.63/0.26 % (536521)Instruction limit reached!
% 0.63/0.26 % (536521)------------------------------
% 0.63/0.26 % (536521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.26 % (536521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.26 % (536521)CaDiCaL version: 2.1.3
% 0.63/0.26 % (536521)Termination reason: Instruction limit
% 0.63/0.26 % (536521)Termination phase: Saturation
% 0.63/0.26 % (536521)Time elapsed: 0.004 s
% 0.63/0.26 % (536521)Peak memory usage: 12 MB
% 0.63/0.26 % (536521)Instructions burned: 15 (million)
% 0.63/0.26 % (536510)Instruction limit reached!
% 0.63/0.26 % (536510)------------------------------
% 0.63/0.26 % (536510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.26 % (536510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.26 % (536510)CaDiCaL version: 2.1.3
% 0.63/0.26 % (536510)Termination reason: Instruction limit
% 0.63/0.26 % (536510)Termination phase: Saturation
% 0.63/0.26 % (536510)Time elapsed: 0.022 s
% 0.63/0.26 % (536510)Peak memory usage: 13 MB
% 0.63/0.26 % (536510)Instructions burned: 86 (million)
% 0.63/0.26 % (536524)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=199335399:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.26 % (536528)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3608842274: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)
% 0.63/0.26 % (536528)Refutation not found, incomplete strategy
% 0.63/0.26 % (536528)------------------------------
% 0.63/0.26 % (536528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.26 % (536528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.26 % (536528)CaDiCaL version: 2.1.3
% 0.63/0.26 % (536528)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.26 % (536528)Time elapsed: 0.0000 s
% 0.63/0.26 % (536528)Peak memory usage: 11 MB
% 0.63/0.26 % (536528)------------------------------
% 0.63/0.26 % (536528)------------------------------
% 0.63/0.26 % (536524)Instruction limit reached!
% 0.63/0.26 % (536524)------------------------------
% 0.63/0.26 % (536524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.26 % (536524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.26 % (536524)CaDiCaL version: 2.1.3
% 0.63/0.26 % (536524)Termination reason: Instruction limit
% 0.63/0.26 % (536524)Termination phase: Saturation
% 0.63/0.26 % (536524)Time elapsed: 0.004 s
% 0.63/0.26 % (536524)Peak memory usage: 12 MB
% 0.63/0.26 % (536524)Instructions burned: 16 (million)
% 0.63/0.26 % (536529)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=675465959:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.63/0.26 % (536533)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
% 0.63/0.27 % (536533)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.63/0.27 % (536532)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1235256929:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.63/0.27 % (536533)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=697006818:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.27 % (536531)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3476264310:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.63/0.27 % (536536)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.63/0.27 % (536533)Instruction limit reached!
% 0.63/0.27 % (536533)------------------------------
% 0.63/0.27 % (536533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.27 % (536533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.27 % (536533)CaDiCaL version: 2.1.3
% 0.63/0.27 % (536533)Termination reason: Instruction limit
% 0.63/0.27 % (536533)Termination phase: Saturation
% 0.63/0.27 % (536533)Time elapsed: 0.004 s
% 0.63/0.27 % (536533)Peak memory usage: 12 MB
% 0.63/0.27 % (536533)Instructions burned: 14 (million)
% 0.63/0.27 % (536536)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=616627254:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.27 % (536537)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=2334595551:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.63/0.27 % (536531)Instruction limit reached!
% 0.63/0.27 % (536531)------------------------------
% 0.63/0.27 % (536531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.27 % (536531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.27 % (536531)CaDiCaL version: 2.1.3
% 0.63/0.27 % (536531)Termination reason: Instruction limit
% 0.63/0.27 % (536531)Termination phase: Saturation
% 0.63/0.27 % (536531)Time elapsed: 0.006 s
% 0.63/0.27 % (536531)Peak memory usage: 12 MB
% 0.63/0.27 % (536531)Instructions burned: 27 (million)
% 0.63/0.27 % (536536)Instruction limit reached!
% 0.63/0.27 % (536536)------------------------------
% 0.63/0.27 % (536536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.27 % (536536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.27 % (536536)CaDiCaL version: 2.1.3
% 0.63/0.27 % (536536)Termination reason: Instruction limit
% 0.63/0.27 % (536536)Termination phase: Saturation
% 0.63/0.27 % (536536)Time elapsed: 0.003 s
% 0.63/0.27 % (536536)Peak memory usage: 12 MB
% 0.63/0.27 % (536536)Instructions burned: 8 (million)
% 0.63/0.27 % (536529)Instruction limit reached!
% 0.63/0.27 % (536529)------------------------------
% 0.63/0.27 % (536529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.27 % (536529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.27 % (536529)CaDiCaL version: 2.1.3
% 0.63/0.27 % (536529)Termination reason: Instruction limit
% 0.63/0.27 % (536529)Termination phase: Saturation
% 0.63/0.27 % (536529)Time elapsed: 0.013 s
% 0.63/0.27 % (536529)Peak memory usage: 12 MB
% 0.63/0.27 % (536529)Instructions burned: 30 (million)
% 0.63/0.27 % (536537)Instruction limit reached!
% 0.63/0.27 % (536537)------------------------------
% 0.63/0.27 % (536537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.27 % (536537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.27 % (536537)CaDiCaL version: 2.1.3
% 0.63/0.27 % (536537)Termination reason: Instruction limit
% 0.63/0.27 % (536537)Termination phase: Saturation
% 0.63/0.27 % (536537)Time elapsed: 0.008 s
% 0.63/0.27 % (536537)Peak memory usage: 12 MB
% 0.63/0.27 % (536537)Instructions burned: 34 (million)
% 0.63/0.27 % (536532)Instruction limit reached!
% 0.63/0.27 % (536532)------------------------------
% 0.63/0.27 % (536532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.27 % (536532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.30 % (536532)CaDiCaL version: 2.1.3
% 0.63/0.30 % (536532)Termination reason: Instruction limit
% 0.63/0.30 % (536532)Termination phase: Saturation
% 0.63/0.30 % (536532)Time elapsed: 0.017 s
% 0.63/0.30 % (536532)Peak memory usage: 12 MB
% 0.63/0.30 % (536532)Instructions burned: 63 (million)
% 0.63/0.30 % (536546)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1738742346:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/20Mi)
% 0.63/0.30 % (536543)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3077162241:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.30 % (536545)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3222655525:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.63/0.30 % (536547)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4247636662:i=1240:rtra=on:ixr=off_2999 on theBenchmark for (2999ds/1240Mi)
% 0.63/0.30 % (536543)Instruction limit reached!
% 0.63/0.30 % (536543)------------------------------
% 0.63/0.30 % (536543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.30 % (536543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.30 % (536543)CaDiCaL version: 2.1.3
% 0.63/0.30 % (536543)Termination reason: Instruction limit
% 0.63/0.30 % (536543)Termination phase: Saturation
% 0.63/0.30 % (536543)Time elapsed: 0.003 s
% 0.63/0.30 % (536543)Peak memory usage: 12 MB
% 0.63/0.30 % (536543)Instructions burned: 11 (million)
% 0.63/0.30 % (536546)Instruction limit reached!
% 0.63/0.30 % (536546)------------------------------
% 0.63/0.30 % (536546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.30 % (536546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.30 % (536546)CaDiCaL version: 2.1.3
% 0.63/0.30 % (536546)Termination reason: Instruction limit
% 0.63/0.30 % (536546)Termination phase: Saturation
% 0.63/0.30 % (536546)Time elapsed: 0.006 s
% 0.63/0.30 % (536546)Peak memory usage: 12 MB
% 0.63/0.30 % (536546)Instructions burned: 20 (million)
% 0.63/0.30 % (536548)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1294035463:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.63/0.30 % (536549)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3011828034:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.63/0.30 % (536549)Refutation not found, incomplete strategy
% 0.63/0.30 % (536549)------------------------------
% 0.63/0.30 % (536549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.30 % (536549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.30 % (536549)CaDiCaL version: 2.1.3
% 0.63/0.30 % (536549)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.30 % (536549)Time elapsed: 0.0000 s
% 0.63/0.30 % (536549)Peak memory usage: 11 MB
% 0.63/0.30 % (536549)Instructions burned: 1 (million)
% 0.63/0.30 % (536545)Instruction limit reached!
% 0.63/0.30 % (536545)------------------------------
% 0.63/0.30 % (536545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.30 % (536545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.30 % (536545)CaDiCaL version: 2.1.3
% 0.63/0.30 % (536545)Termination reason: Instruction limit
% 0.63/0.30 % (536545)Termination phase: Saturation
% 0.63/0.30 % (536545)Time elapsed: 0.005 s
% 0.63/0.30 % (536545)Peak memory usage: 12 MB
% 0.63/0.30 % (536545)Instructions burned: 25 (million)
% 0.63/0.30 % (536549)------------------------------
% 0.63/0.30 % (536549)------------------------------
% 0.63/0.30 % (536555)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.30 % (536554)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3523158499:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.63/0.30 % (536555)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2166561423:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.63/0.30 % (536558)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=374786181:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 0.63/0.33 % (536559)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=1332711788: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)
% 0.63/0.33 % (536558)Refutation not found, incomplete strategy
% 0.63/0.33 % (536558)------------------------------
% 0.63/0.33 % (536558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.33 % (536558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.33 % (536558)CaDiCaL version: 2.1.3
% 0.63/0.33 % (536558)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.33 % (536558)Time elapsed: 0.0000 s
% 0.63/0.33 % (536558)Peak memory usage: 11 MB
% 0.63/0.33 % (536558)Instructions burned: 1 (million)
% 0.63/0.33 % (536555)Instruction limit reached!
% 0.63/0.33 % (536555)------------------------------
% 0.63/0.33 % (536555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.33 % (536555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.33 % (536555)CaDiCaL version: 2.1.3
% 0.63/0.33 % (536555)Termination reason: Instruction limit
% 0.63/0.33 % (536555)Termination phase: Saturation
% 0.63/0.33 % (536555)Time elapsed: 0.002 s
% 0.63/0.33 % (536555)Peak memory usage: 12 MB
% 0.63/0.33 % (536555)Instructions burned: 8 (million)
% 0.63/0.33 % (536558)------------------------------
% 0.63/0.33 % (536558)------------------------------
% 0.63/0.33 % (536559)Refutation not found, incomplete strategy
% 0.63/0.33 % (536559)------------------------------
% 0.63/0.33 % (536559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.33 % (536559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.33 % (536559)CaDiCaL version: 2.1.3
% 0.63/0.33 % (536559)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.33 % (536559)Time elapsed: 0.0000 s
% 0.63/0.33 % (536559)Peak memory usage: 11 MB
% 0.63/0.33 % (536559)------------------------------
% 0.63/0.33 % (536559)------------------------------
% 0.63/0.33 % (536554)Instruction limit reached!
% 0.63/0.33 % (536554)------------------------------
% 0.63/0.33 % (536554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.33 % (536554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.33 % (536554)CaDiCaL version: 2.1.3
% 0.63/0.33 % (536554)Termination reason: Instruction limit
% 0.63/0.33 % (536554)Termination phase: Saturation
% 0.63/0.33 % (536554)Time elapsed: 0.011 s
% 0.63/0.33 % (536554)Peak memory usage: 12 MB
% 0.63/0.33 % (536554)Instructions burned: 44 (million)
% 0.63/0.33 % (536564)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 0.63/0.33 % (536564)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1168351359:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 0.63/0.33 % (536565)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2179745895:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 0.63/0.33 % (536566)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2002572361:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 0.63/0.33 % (536564)Refutation not found, incomplete strategy
% 0.63/0.33 % (536564)------------------------------
% 0.63/0.33 % (536564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.33 % (536564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.33 % (536564)CaDiCaL version: 2.1.3
% 0.63/0.33 % (536564)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.33 % (536564)Time elapsed: 0.0000 s
% 0.63/0.33 % (536564)Peak memory usage: 11 MB
% 0.63/0.33 % (536564)Instructions burned: 1 (million)
% 0.63/0.33 % (536564)------------------------------
% 0.63/0.33 % (536564)------------------------------
% 0.63/0.33 % (536566)Refutation not found, incomplete strategy
% 0.63/0.33 % (536566)------------------------------
% 0.63/0.33 % (536566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.33 % (536566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.33 % (536566)CaDiCaL version: 2.1.3
% 0.63/0.33 % (536566)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.36 % (536566)Time elapsed: 0.001 s
% 1.32/0.36 % (536566)Peak memory usage: 12 MB
% 1.32/0.36 % (536566)Instructions burned: 3 (million)
% 1.32/0.36 % (536566)------------------------------
% 1.32/0.36 % (536566)------------------------------
% 1.32/0.36 % (536491)Instruction limit reached!
% 1.32/0.36 % (536491)------------------------------
% 1.32/0.36 % (536491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.36 % (536491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.36 % (536491)CaDiCaL version: 2.1.3
% 1.32/0.36 % (536491)Termination reason: Instruction limit
% 1.32/0.36 % (536491)Termination phase: Saturation
% 1.32/0.36 % (536491)Time elapsed: 0.116 s
% 1.32/0.36 % (536491)Peak memory usage: 13 MB
% 1.32/0.36 % (536491)Instructions burned: 637 (million)
% 1.32/0.36 % (536565)Instruction limit reached!
% 1.32/0.36 % (536565)------------------------------
% 1.32/0.36 % (536565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.36 % (536565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.36 % (536565)CaDiCaL version: 2.1.3
% 1.32/0.36 % (536565)Termination reason: Instruction limit
% 1.32/0.36 % (536565)Termination phase: Saturation
% 1.32/0.36 % (536565)Time elapsed: 0.006 s
% 1.32/0.36 % (536565)Peak memory usage: 12 MB
% 1.32/0.36 % (536565)Instructions burned: 26 (million)
% 1.32/0.36 % (536548)Instruction limit reached!
% 1.32/0.36 % (536548)------------------------------
% 1.32/0.36 % (536548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.36 % (536548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.36 % (536548)CaDiCaL version: 2.1.3
% 1.32/0.36 % (536548)Termination reason: Instruction limit
% 1.32/0.36 % (536548)Termination phase: Saturation
% 1.32/0.36 % (536548)Time elapsed: 0.029 s
% 1.32/0.36 % (536548)Peak memory usage: 12 MB
% 1.32/0.36 % (536548)Instructions burned: 149 (million)
% 1.32/0.36 % (536567)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=342668639:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.32/0.36 % (536572)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=2580289464:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.32/0.36 % (536571)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=484022358:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.32/0.36 % (536576)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.32/0.36 % (536573)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2067701711:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.32/0.36 % (536576)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=873250098:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/200Mi)
% 1.32/0.36 % (536573)Refutation not found, incomplete strategy
% 1.32/0.36 % (536573)------------------------------
% 1.32/0.36 % (536573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.36 % (536573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.36 % (536573)CaDiCaL version: 2.1.3
% 1.32/0.36 % (536573)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.36 % (536573)Time elapsed: 0.0000 s
% 1.32/0.36 % (536573)Peak memory usage: 12 MB
% 1.32/0.36 % (536573)Instructions burned: 1 (million)
% 1.32/0.36 % (536573)------------------------------
% 1.32/0.36 % (536573)------------------------------
% 1.32/0.36 % (536575)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3756607468:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.32/0.36 % (536575)Instruction limit reached!
% 1.32/0.36 % (536575)------------------------------
% 1.32/0.36 % (536575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.36 % (536575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.39 % (536575)CaDiCaL version: 2.1.3
% 1.32/0.39 % (536575)Termination reason: Instruction limit
% 1.32/0.39 % (536575)Termination phase: Saturation
% 1.32/0.39 % (536575)Time elapsed: 0.006 s
% 1.32/0.39 % (536575)Peak memory usage: 12 MB
% 1.32/0.39 % (536575)Instructions burned: 23 (million)
% 1.32/0.39 % (536572)Instruction limit reached!
% 1.32/0.39 % (536572)------------------------------
% 1.32/0.39 % (536572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.39 % (536572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.39 % (536572)CaDiCaL version: 2.1.3
% 1.32/0.39 % (536572)Termination reason: Instruction limit
% 1.32/0.39 % (536572)Termination phase: Saturation
% 1.32/0.39 % (536572)Time elapsed: 0.014 s
% 1.32/0.39 % (536572)Peak memory usage: 12 MB
% 1.32/0.39 % (536572)Instructions burned: 47 (million)
% 1.32/0.39 % (536582)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3262571045:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/13Mi)
% 1.32/0.39 % (536582)Instruction limit reached!
% 1.32/0.39 % (536582)------------------------------
% 1.32/0.39 % (536582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.39 % (536582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.39 % (536582)CaDiCaL version: 2.1.3
% 1.32/0.39 % (536582)Termination reason: Instruction limit
% 1.32/0.39 % (536582)Termination phase: Saturation
% 1.32/0.39 % (536582)Time elapsed: 0.005 s
% 1.32/0.39 % (536582)Peak memory usage: 12 MB
% 1.32/0.39 % (536582)Instructions burned: 16 (million)
% 1.32/0.39 % (536583)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=350378511:i=66:s2at=3:nm=2:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/66Mi)
% 1.32/0.39 % (536584)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1803394869:i=51:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/51Mi)
% 1.32/0.39 % (536584)Refutation not found, incomplete strategy
% 1.32/0.39 % (536584)------------------------------
% 1.32/0.39 % (536584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.39 % (536584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.39 % (536584)CaDiCaL version: 2.1.3
% 1.32/0.39 % (536584)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.39 % (536584)Time elapsed: 0.001 s
% 1.32/0.39 % (536584)Peak memory usage: 12 MB
% 1.32/0.39 % (536584)Instructions burned: 2 (million)
% 1.32/0.39 % (536584)------------------------------
% 1.32/0.39 % (536584)------------------------------
% 1.32/0.39 % (536586)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=430154401:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.32/0.39 % (536589)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3986263593:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2998 on theBenchmark for (2998ds/137Mi)
% 1.32/0.39 % (536583)Instruction limit reached!
% 1.32/0.39 % (536583)------------------------------
% 1.32/0.39 % (536583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.39 % (536583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.39 % (536583)CaDiCaL version: 2.1.3
% 1.32/0.39 % (536583)Termination reason: Instruction limit
% 1.32/0.39 % (536583)Termination phase: Saturation
% 1.32/0.39 % (536583)Time elapsed: 0.016 s
% 1.32/0.39 % (536583)Peak memory usage: 13 MB
% 1.32/0.39 % (536583)Instructions burned: 69 (million)
% 1.32/0.39 % (536586)Instruction limit reached!
% 1.32/0.39 % (536586)------------------------------
% 1.32/0.39 % (536586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.39 % (536586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.39 % (536586)CaDiCaL version: 2.1.3
% 1.32/0.39 % (536586)Termination reason: Instruction limit
% 1.32/0.39 % (536586)Termination phase: Saturation
% 1.32/0.39 % (536586)Time elapsed: 0.011 s
% 1.32/0.39 % (536586)Peak memory usage: 12 MB
% 1.32/0.39 % (536586)Instructions burned: 43 (million)
% 1.32/0.39 % (536576)Instruction limit reached!
% 1.32/0.39 % (536576)------------------------------
% 1.32/0.39 % (536576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.39 % (536576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.42 % (536576)CaDiCaL version: 2.1.3
% 1.32/0.42 % (536576)Termination reason: Instruction limit
% 1.32/0.42 % (536576)Termination phase: Saturation
% 1.32/0.42 % (536576)Time elapsed: 0.039 s
% 1.32/0.42 % (536576)Peak memory usage: 12 MB
% 1.32/0.42 % (536576)Instructions burned: 203 (million)
% 1.32/0.42 % (536592)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=2039765434:cond=on:i=34:hud=10:nm=10:rtra=on_2998 on theBenchmark for (2998ds/34Mi)
% 1.32/0.42 % (536593)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2862879777:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/67Mi)
% 1.32/0.42 % (536593)Refutation not found, incomplete strategy
% 1.32/0.42 % (536593)------------------------------
% 1.32/0.42 % (536593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.42 % (536593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.42 % (536593)CaDiCaL version: 2.1.3
% 1.32/0.42 % (536593)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.42 % (536593)Time elapsed: 0.001 s
% 1.32/0.42 % (536593)Peak memory usage: 12 MB
% 1.32/0.42 % (536593)Instructions burned: 2 (million)
% 1.32/0.42 % (536593)------------------------------
% 1.32/0.42 % (536593)------------------------------
% 1.32/0.42 % (536594)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.32/0.42 % (536594)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3838020510:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2998 on theBenchmark for (2998ds/180Mi)
% 1.32/0.42 % (536592)Instruction limit reached!
% 1.32/0.42 % (536592)------------------------------
% 1.32/0.42 % (536592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.42 % (536592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.42 % (536592)CaDiCaL version: 2.1.3
% 1.32/0.42 % (536592)Termination reason: Instruction limit
% 1.32/0.42 % (536592)Termination phase: Saturation
% 1.32/0.42 % (536592)Time elapsed: 0.009 s
% 1.32/0.42 % (536592)Peak memory usage: 12 MB
% 1.32/0.42 % (536592)Instructions burned: 34 (million)
% 1.32/0.42 % (536598)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1556431085:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 1.32/0.42 % (536598)Refutation not found, incomplete strategy
% 1.32/0.42 % (536598)------------------------------
% 1.32/0.42 % (536598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.42 % (536598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.42 % (536598)CaDiCaL version: 2.1.3
% 1.32/0.42 % (536598)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.42 % (536598)Time elapsed: 0.0000 s
% 1.32/0.42 % (536598)Peak memory usage: 12 MB
% 1.32/0.42 % (536598)Instructions burned: 1 (million)
% 1.32/0.42 % (536589)Instruction limit reached!
% 1.32/0.42 % (536589)------------------------------
% 1.32/0.42 % (536589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.42 % (536589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.42 % (536589)CaDiCaL version: 2.1.3
% 1.32/0.42 % (536589)Termination reason: Instruction limit
% 1.32/0.42 % (536589)Termination phase: Saturation
% 1.32/0.42 % (536589)Time elapsed: 0.032 s
% 1.32/0.42 % (536589)Peak memory usage: 13 MB
% 1.32/0.42 % (536589)Instructions burned: 139 (million)
% 1.32/0.42 % (536598)------------------------------
% 1.32/0.42 % (536598)------------------------------
% 1.32/0.42 % (536599)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=281267557:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 1.32/0.42 % (536601)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1035204554:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 1.32/0.42 % (536602)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2149110946:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 1.32/0.42 % (536601)Refutation not found, incomplete strategy
% 1.32/0.42 % (536601)------------------------------
% 1.32/0.42 % (536601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.42 % (536601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.42 % (536602)Refutation not found, incomplete strategy
% 1.32/0.42 % (536602)------------------------------
% 1.99/0.45 % (536602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.45 % (536601)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536601)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.45 % (536601)Time elapsed: 0.0000 s
% 1.99/0.45 % (536602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.45 % (536601)Peak memory usage: 11 MB
% 1.99/0.45 % (536601)Instructions burned: 1 (million)
% 1.99/0.45 % (536602)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536602)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.45 % (536602)Time elapsed: 0.0000 s
% 1.99/0.45 % (536602)Peak memory usage: 11 MB
% 1.99/0.45 % (536602)Instructions burned: 1 (million)
% 1.99/0.45 % (536602)------------------------------
% 1.99/0.45 % (536602)------------------------------
% 1.99/0.45 % (536601)------------------------------
% 1.99/0.45 % (536601)------------------------------
% 1.99/0.45 % (536606)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=141206452:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/515Mi)
% 1.99/0.45 % (536607)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2073788136:st=1.5:i=130:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/130Mi)
% 1.99/0.45 % (536606)Refutation not found, incomplete strategy
% 1.99/0.45 % (536606)------------------------------
% 1.99/0.45 % (536606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.45 % (536606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.45 % (536606)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536606)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.45 % (536606)Time elapsed: 0.0000 s
% 1.99/0.45 % (536606)Peak memory usage: 12 MB
% 1.99/0.45 % (536606)Instructions burned: 1 (million)
% 1.99/0.45 % (536607)Refutation not found, incomplete strategy
% 1.99/0.45 % (536607)------------------------------
% 1.99/0.45 % (536607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.45 % (536607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.45 % (536607)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536607)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.45 % (536607)Time elapsed: 0.0000 s
% 1.99/0.45 % (536607)Peak memory usage: 11 MB
% 1.99/0.45 % (536607)Instructions burned: 1 (million)
% 1.99/0.45 % (536606)------------------------------
% 1.99/0.45 % (536606)------------------------------
% 1.99/0.45 % (536607)------------------------------
% 1.99/0.45 % (536607)------------------------------
% 1.99/0.45 % (536599)Instruction limit reached!
% 1.99/0.45 % (536599)------------------------------
% 1.99/0.45 % (536599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.45 % (536599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.45 % (536599)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536599)Termination reason: Instruction limit
% 1.99/0.45 % (536599)Termination phase: Saturation
% 1.99/0.45 % (536599)Time elapsed: 0.022 s
% 1.99/0.45 % (536599)Peak memory usage: 12 MB
% 1.99/0.45 % (536599)Instructions burned: 97 (million)
% 1.99/0.45 % (536567)Instruction limit reached!
% 1.99/0.45 % (536567)------------------------------
% 1.99/0.45 % (536567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.45 % (536567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.45 % (536567)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536567)Termination reason: Instruction limit
% 1.99/0.45 % (536567)Termination phase: Saturation
% 1.99/0.45 % (536567)Time elapsed: 0.106 s
% 1.99/0.45 % (536567)Peak memory usage: 13 MB
% 1.99/0.45 % (536567)Instructions burned: 316 (million)
% 1.99/0.45 % (536594)Instruction limit reached!
% 1.99/0.45 % (536594)------------------------------
% 1.99/0.45 % (536594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.45 % (536594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.45 % (536594)CaDiCaL version: 2.1.3
% 1.99/0.45 % (536594)Termination reason: Instruction limit
% 1.99/0.45 % (536594)Termination phase: Saturation
% 1.99/0.45 % (536594)Time elapsed: 0.044 s
% 1.99/0.45 % (536594)Peak memory usage: 12 MB
% 1.99/0.45 % (536594)Instructions burned: 184 (million)
% 1.99/0.45 % (536610)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=584597889:i=44:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/44Mi)
% 1.99/0.45 % (536611)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=666907721:s2a=on:i=571:nm=16:rtra=on_2997 on theBenchmark for (2997ds/571Mi)
% 1.99/0.49 % (536612)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2196400984:i=450:rtra=on:ixr=off:ntd=on_2997 on theBenchmark for (2997ds/450Mi)
% 1.99/0.49 % (536611)Refutation not found, incomplete strategy
% 1.99/0.49 % (536611)------------------------------
% 1.99/0.49 % (536611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49 % (536611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49 % (536611)CaDiCaL version: 2.1.3
% 1.99/0.49 % (536611)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.49 % (536611)Time elapsed: 0.0000 s
% 1.99/0.49 % (536611)Peak memory usage: 12 MB
% 1.99/0.49 % (536611)Instructions burned: 1 (million)
% 1.99/0.49 % (536611)------------------------------
% 1.99/0.49 % (536611)------------------------------
% 1.99/0.49 % (536613)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1193268133:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/95Mi)
% 1.99/0.49 % (536616)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=2818230084:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2997 on theBenchmark for (2997ds/65Mi)
% 1.99/0.49 % (536618)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=798813068: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_2997 on theBenchmark for (2997ds/105Mi)
% 1.99/0.49 % (536610)Instruction limit reached!
% 1.99/0.49 % (536610)------------------------------
% 1.99/0.49 % (536610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49 % (536610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49 % (536610)CaDiCaL version: 2.1.3
% 1.99/0.49 % (536610)Termination reason: Instruction limit
% 1.99/0.49 % (536610)Termination phase: Saturation
% 1.99/0.49 % (536610)Time elapsed: 0.012 s
% 1.99/0.49 % (536610)Peak memory usage: 12 MB
% 1.99/0.49 % (536610)Instructions burned: 46 (million)
% 1.99/0.49 % (536622)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=4157372618:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2997 on theBenchmark for (2997ds/5755Mi)
% 1.99/0.49 % (536622)Refutation not found, incomplete strategy
% 1.99/0.49 % (536622)------------------------------
% 1.99/0.49 % (536622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49 % (536622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49 % (536622)CaDiCaL version: 2.1.3
% 1.99/0.49 % (536622)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.49 % (536622)Time elapsed: 0.0000 s
% 1.99/0.49 % (536622)Peak memory usage: 12 MB
% 1.99/0.49 % (536622)Instructions burned: 1 (million)
% 1.99/0.49 % (536622)------------------------------
% 1.99/0.49 % (536622)------------------------------
% 1.99/0.49 % (536616)Instruction limit reached!
% 1.99/0.49 % (536616)------------------------------
% 1.99/0.49 % (536616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49 % (536616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49 % (536616)CaDiCaL version: 2.1.3
% 1.99/0.49 % (536616)Termination reason: Instruction limit
% 1.99/0.49 % (536616)Termination phase: Saturation
% 1.99/0.49 % (536616)Time elapsed: 0.016 s
% 1.99/0.49 % (536616)Peak memory usage: 13 MB
% 1.99/0.49 % (536616)Instructions burned: 69 (million)
% 1.99/0.49 % (536613)Instruction limit reached!
% 1.99/0.49 % (536613)------------------------------
% 1.99/0.49 % (536613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49 % (536613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49 % (536613)CaDiCaL version: 2.1.3
% 1.99/0.49 % (536613)Termination reason: Instruction limit
% 1.99/0.49 % (536613)Termination phase: Saturation
% 1.99/0.49 % (536613)Time elapsed: 0.021 s
% 1.99/0.49 % (536613)Peak memory usage: 12 MB
% 1.99/0.49 % (536613)Instructions burned: 97 (million)
% 1.99/0.49 % (536624)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4164367105:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/375Mi)
% 1.99/0.54 % (536624)Refutation not found, incomplete strategy
% 1.99/0.54 % (536624)------------------------------
% 1.99/0.54 % (536624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54 % (536624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54 % (536624)CaDiCaL version: 2.1.3
% 1.99/0.54 % (536624)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.54 % (536624)Time elapsed: 0.0000 s
% 1.99/0.54 % (536624)Peak memory usage: 11 MB
% 1.99/0.54 % (536624)------------------------------
% 1.99/0.54 % (536624)------------------------------
% 1.99/0.54 % (536626)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=2626847852:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.99/0.54 % (536618)Instruction limit reached!
% 1.99/0.54 % (536618)------------------------------
% 1.99/0.54 % (536618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54 % (536618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54 % (536618)CaDiCaL version: 2.1.3
% 1.99/0.54 % (536618)Termination reason: Instruction limit
% 1.99/0.54 % (536618)Termination phase: Saturation
% 1.99/0.54 % (536618)Time elapsed: 0.031 s
% 1.99/0.54 % (536618)Peak memory usage: 13 MB
% 1.99/0.54 % (536618)Instructions burned: 108 (million)
% 1.99/0.54 % (536628)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2547968414:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/91Mi)
% 1.99/0.54 % (536571)Instruction limit reached!
% 1.99/0.54 % (536571)------------------------------
% 1.99/0.54 % (536571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54 % (536571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54 % (536571)CaDiCaL version: 2.1.3
% 1.99/0.54 % (536571)Termination reason: Instruction limit
% 1.99/0.54 % (536571)Termination phase: Saturation
% 1.99/0.54 % (536571)Time elapsed: 0.146 s
% 1.99/0.54 % (536571)Peak memory usage: 13 MB
% 1.99/0.54 % (536571)Instructions burned: 859 (million)
% 1.99/0.54 % (536625)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=713622773:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/495Mi)
% 1.99/0.54 % (536626)Instruction limit reached!
% 1.99/0.54 % (536626)------------------------------
% 1.99/0.54 % (536626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54 % (536626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54 % (536626)CaDiCaL version: 2.1.3
% 1.99/0.54 % (536626)Termination reason: Instruction limit
% 1.99/0.54 % (536626)Termination phase: Saturation
% 1.99/0.54 % (536626)Time elapsed: 0.009 s
% 1.99/0.54 % (536626)Peak memory usage: 12 MB
% 1.99/0.54 % (536626)Instructions burned: 34 (million)
% 1.99/0.54 % (536630)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=268269012:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.99/0.54 % (536630)Refutation not found, incomplete strategy
% 1.99/0.54 % (536630)------------------------------
% 1.99/0.54 % (536630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54 % (536630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54 % (536630)CaDiCaL version: 2.1.3
% 1.99/0.54 % (536630)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.54 % (536630)Time elapsed: 0.0000 s
% 1.99/0.54 % (536630)Peak memory usage: 11 MB
% 1.99/0.54 % (536630)------------------------------
% 1.99/0.54 % (536630)------------------------------
% 1.99/0.54 % (536632)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1991761441:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.99/0.54 % (536632)Instruction limit reached!
% 1.99/0.54 % (536632)------------------------------
% 1.99/0.54 % (536632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54 % (536632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54 % (536632)CaDiCaL version: 2.1.3
% 1.99/0.54 % (536632)Termination reason: Instruction limit
% 1.99/0.54 % (536632)Termination phase: Saturation
% 1.99/0.54 % (536632)Time elapsed: 0.006 s
% 2.74/0.59 % (536632)Peak memory usage: 12 MB
% 2.74/0.59 % (536632)Instructions burned: 24 (million)
% 2.74/0.59 % (536635)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=1151442535:i=338:bd=all:ins=4:rtra=on_2996 on theBenchmark for (2996ds/338Mi)
% 2.74/0.59 % (536636)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2700385419:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2996 on theBenchmark for (2996ds/28Mi)
% 2.74/0.59 % (536636)Refutation not found, incomplete strategy
% 2.74/0.59 % (536636)------------------------------
% 2.74/0.59 % (536636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.59 % (536636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.59 % (536636)CaDiCaL version: 2.1.3
% 2.74/0.59 % (536636)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.59 % (536636)Time elapsed: 0.0000 s
% 2.74/0.59 % (536636)Peak memory usage: 11 MB
% 2.74/0.59 % (536636)Instructions burned: 1 (million)
% 2.74/0.59 % (536636)------------------------------
% 2.74/0.59 % (536636)------------------------------
% 2.74/0.59 % (536628)Instruction limit reached!
% 2.74/0.59 % (536628)------------------------------
% 2.74/0.59 % (536628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.59 % (536628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.59 % (536628)CaDiCaL version: 2.1.3
% 2.74/0.59 % (536628)Termination reason: Instruction limit
% 2.74/0.59 % (536628)Termination phase: Saturation
% 2.74/0.59 % (536628)Time elapsed: 0.021 s
% 2.74/0.59 % (536628)Peak memory usage: 12 MB
% 2.74/0.59 % (536628)Instructions burned: 96 (million)
% 2.74/0.59 % (536638)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 2.74/0.59 % (536638)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3663364365:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.74/0.59 % (536641)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=1137614526:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2996 on theBenchmark for (2996ds/340Mi)
% 2.74/0.59 % (536642)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1216651407:i=227:sd=1:bd=all:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/227Mi)
% 2.74/0.59 % (536642)Refutation not found, incomplete strategy
% 2.74/0.59 % (536642)------------------------------
% 2.74/0.59 % (536642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.59 % (536642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.59 % (536642)CaDiCaL version: 2.1.3
% 2.74/0.59 % (536642)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.59 % (536642)Time elapsed: 0.0000 s
% 2.74/0.59 % (536642)Peak memory usage: 11 MB
% 2.74/0.59 % (536642)------------------------------
% 2.74/0.59 % (536642)------------------------------
% 2.74/0.59 % (536612)Instruction limit reached!
% 2.74/0.59 % (536612)------------------------------
% 2.74/0.59 % (536612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.59 % (536612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.59 % (536612)CaDiCaL version: 2.1.3
% 2.74/0.59 % (536612)Termination reason: Instruction limit
% 2.74/0.59 % (536612)Termination phase: Saturation
% 2.74/0.59 % (536612)Time elapsed: 0.084 s
% 2.74/0.59 % (536612)Peak memory usage: 13 MB
% 2.74/0.59 % (536612)Instructions burned: 455 (million)
% 2.74/0.59 % (536646)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 2.74/0.59 % (536646)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=214598927:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/373Mi)
% 2.74/0.59 % (536647)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3553849188:i=116:ep=RSTC:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/116Mi)
% 2.74/0.59 % (536638)Instruction limit reached!
% 2.74/0.59 % (536638)------------------------------
% 2.74/0.59 % (536638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.59 % (536638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.61 % (536638)CaDiCaL version: 2.1.3
% 2.74/0.61 % (536638)Termination reason: Instruction limit
% 2.74/0.61 % (536638)Termination phase: Saturation
% 2.74/0.61 % (536638)Time elapsed: 0.033 s
% 2.74/0.61 % (536638)Peak memory usage: 12 MB
% 2.74/0.61 % (536638)Instructions burned: 141 (million)
% 2.74/0.61 % (536650)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2559560392:i=575:rtra=on_2996 on theBenchmark for (2996ds/575Mi)
% 2.74/0.61 % (536547)Instruction limit reached!
% 2.74/0.61 % (536547)------------------------------
% 2.74/0.61 % (536547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.61 % (536547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.61 % (536547)CaDiCaL version: 2.1.3
% 2.74/0.61 % (536547)Termination reason: Instruction limit
% 2.74/0.61 % (536547)Termination phase: Saturation
% 2.74/0.61 % (536547)Time elapsed: 0.257 s
% 2.74/0.61 % (536547)Peak memory usage: 13 MB
% 2.74/0.61 % (536547)Instructions burned: 1245 (million)
% 2.74/0.61 % (536650)Refutation not found, incomplete strategy
% 2.74/0.61 % (536650)------------------------------
% 2.74/0.61 % (536650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.61 % (536650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.61 % (536650)CaDiCaL version: 2.1.3
% 2.74/0.61 % (536650)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.61 % (536650)Time elapsed: 0.001 s
% 2.74/0.61 % (536650)Peak memory usage: 12 MB
% 2.74/0.61 % (536650)Instructions burned: 2 (million)
% 2.74/0.61 % (536650)------------------------------
% 2.74/0.61 % (536650)------------------------------
% 2.74/0.61 % (536647)Instruction limit reached!
% 2.74/0.61 % (536647)------------------------------
% 2.74/0.61 % (536647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.61 % (536647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.61 % (536647)CaDiCaL version: 2.1.3
% 2.74/0.61 % (536647)Termination reason: Instruction limit
% 2.74/0.61 % (536647)Termination phase: Saturation
% 2.74/0.61 % (536647)Time elapsed: 0.024 s
% 2.74/0.61 % (536647)Peak memory usage: 12 MB
% 2.74/0.61 % (536647)Instructions burned: 116 (million)
% 2.74/0.61 % (536652)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2414842868:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2996 on theBenchmark for (2996ds/270Mi)
% 2.74/0.61 % (536653)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=1841598303: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_2996 on theBenchmark for (2996ds/9840Mi)
% 2.74/0.61 % (536654)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=408956952:i=421:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/421Mi)
% 2.74/0.61 % (536654)Refutation not found, incomplete strategy
% 2.74/0.61 % (536654)------------------------------
% 2.74/0.61 % (536654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.61 % (536654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.61 % (536654)CaDiCaL version: 2.1.3
% 2.74/0.61 % (536654)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.61 % (536654)Time elapsed: 0.0000 s
% 2.74/0.61 % (536654)Peak memory usage: 11 MB
% 2.74/0.61 % (536654)Instructions burned: 1 (million)
% 2.74/0.61 % (536654)------------------------------
% 2.74/0.61 % (536654)------------------------------
% 2.74/0.61 % (536658)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
% 2.74/0.61 % (536658)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=3076556777:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/270Mi)
% 2.74/0.61 % (536635)Instruction limit reached!
% 2.74/0.61 % (536635)------------------------------
% 2.74/0.61 % (536635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.61 % (536635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.61 % (536635)CaDiCaL version: 2.1.3
% 3.19/0.63 % (536635)Termination reason: Instruction limit
% 3.19/0.63 % (536635)Termination phase: Saturation
% 3.19/0.63 % (536635)Time elapsed: 0.090 s
% 3.19/0.63 % (536635)Peak memory usage: 14 MB
% 3.19/0.63 % (536635)Instructions burned: 353 (million)
% 3.19/0.63 % (536641)Instruction limit reached!
% 3.19/0.63 % (536641)------------------------------
% 3.19/0.63 % (536641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.63 % (536641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.63 % (536641)CaDiCaL version: 2.1.3
% 3.19/0.63 % (536641)Termination reason: Instruction limit
% 3.19/0.63 % (536641)Termination phase: Saturation
% 3.19/0.63 % (536641)Time elapsed: 0.080 s
% 3.19/0.63 % (536641)Peak memory usage: 13 MB
% 3.19/0.63 % (536641)Instructions burned: 344 (million)
% 3.19/0.63 % (536661)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 3.19/0.63 % (536661)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
% 3.19/0.63 % (536661)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=4129586457:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2995 on theBenchmark for (2995ds/1440Mi)
% 3.19/0.63 % (536660)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3534533504:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.19/0.63 % (536646)Instruction limit reached!
% 3.19/0.63 % (536646)------------------------------
% 3.19/0.63 % (536646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.63 % (536646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.63 % (536646)CaDiCaL version: 2.1.3
% 3.19/0.63 % (536646)Termination reason: Instruction limit
% 3.19/0.63 % (536646)Termination phase: Saturation
% 3.19/0.63 % (536646)Time elapsed: 0.096 s
% 3.19/0.63 % (536646)Peak memory usage: 13 MB
% 3.19/0.63 % (536646)Instructions burned: 373 (million)
% 3.19/0.63 % (536652)Instruction limit reached!
% 3.19/0.63 % (536652)------------------------------
% 3.19/0.63 % (536652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.63 % (536652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.63 % (536652)CaDiCaL version: 2.1.3
% 3.19/0.63 % (536652)Termination reason: Instruction limit
% 3.19/0.63 % (536652)Termination phase: Saturation
% 3.19/0.63 % (536652)Time elapsed: 0.062 s
% 3.19/0.63 % (536652)Peak memory usage: 12 MB
% 3.19/0.63 % (536652)Instructions burned: 271 (million)
% 3.19/0.63 % (536660)Instruction limit reached!
% 3.19/0.63 % (536660)------------------------------
% 3.19/0.63 % (536660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.63 % (536660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.63 % (536660)CaDiCaL version: 2.1.3
% 3.19/0.63 % (536660)Termination reason: Instruction limit
% 3.19/0.63 % (536660)Termination phase: Saturation
% 3.19/0.63 % (536660)Time elapsed: 0.016 s
% 3.19/0.63 % (536660)Peak memory usage: 12 MB
% 3.19/0.63 % (536660)Instructions burned: 31 (million)
% 3.19/0.63 % (536664)dis+10_2_sil=128000:si=on:random_seed=1171324949:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2995 on theBenchmark for (2995ds/339Mi)
% 3.19/0.63 % (536664)Refutation not found, incomplete strategy
% 3.19/0.63 % (536664)------------------------------
% 3.19/0.63 % (536664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.63 % (536664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.63 % (536664)CaDiCaL version: 2.1.3
% 3.19/0.63 % (536664)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.63 % (536664)Time elapsed: 0.0000 s
% 3.19/0.63 % (536664)Peak memory usage: 11 MB
% 3.19/0.63 % (536664)------------------------------
% 3.19/0.63 % (536664)------------------------------
% 3.19/0.63 % (536665)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3851506936:i=111:add=on:fgj=on:rtra=on:fdi=1024_2995 on theBenchmark for (2995ds/111Mi)
% 3.19/0.63 % (536666)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=950120403:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/122Mi)
% 3.19/0.69 % (536666)Refutation not found, incomplete strategy
% 3.19/0.69 % (536666)------------------------------
% 3.19/0.69 % (536666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.69 % (536666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.69 % (536666)CaDiCaL version: 2.1.3
% 3.19/0.69 % (536666)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.69 % (536666)Time elapsed: 0.0000 s
% 3.19/0.69 % (536666)Peak memory usage: 11 MB
% 3.19/0.69 % (536666)Instructions burned: 1 (million)
% 3.19/0.69 % (536666)------------------------------
% 3.19/0.69 % (536666)------------------------------
% 3.19/0.69 % (536668)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=3372754280:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/136Mi)
% 3.19/0.69 % (536668)Refutation not found, incomplete strategy
% 3.19/0.69 % (536668)------------------------------
% 3.19/0.69 % (536668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.69 % (536668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.69 % (536668)CaDiCaL version: 2.1.3
% 3.19/0.69 % (536668)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.69 % (536668)Time elapsed: 0.001 s
% 3.19/0.69 % (536668)Peak memory usage: 12 MB
% 3.19/0.69 % (536668)Instructions burned: 2 (million)
% 3.19/0.69 % (536668)------------------------------
% 3.19/0.69 % (536668)------------------------------
% 3.19/0.69 % (536671)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1975681788:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/232Mi)
% 3.19/0.69 % (536671)Refutation not found, incomplete strategy
% 3.19/0.69 % (536671)------------------------------
% 3.19/0.69 % (536671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.69 % (536671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.69 % (536671)CaDiCaL version: 2.1.3
% 3.19/0.69 % (536671)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.69 % (536671)Time elapsed: 0.0000 s
% 3.19/0.69 % (536671)Peak memory usage: 11 MB
% 3.19/0.69 % (536671)------------------------------
% 3.19/0.69 % (536671)------------------------------
% 3.19/0.69 % (536658)Instruction limit reached!
% 3.19/0.69 % (536658)------------------------------
% 3.19/0.69 % (536658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.69 % (536658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.69 % (536658)CaDiCaL version: 2.1.3
% 3.19/0.69 % (536658)Termination reason: Instruction limit
% 3.19/0.69 % (536658)Termination phase: Saturation
% 3.19/0.69 % (536658)Time elapsed: 0.075 s
% 3.19/0.69 % (536658)Peak memory usage: 12 MB
% 3.19/0.69 % (536658)Instructions burned: 275 (million)
% 3.19/0.69 % (536673)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=1960211525:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/1254Mi)
% 3.19/0.69 % (536673)Refutation not found, incomplete strategy
% 3.19/0.69 % (536673)------------------------------
% 3.19/0.69 % (536673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.69 % (536673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.69 % (536673)CaDiCaL version: 2.1.3
% 3.19/0.69 % (536673)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.69 % (536673)Time elapsed: 0.001 s
% 3.19/0.69 % (536673)Peak memory usage: 12 MB
% 3.19/0.69 % (536673)Instructions burned: 3 (million)
% 3.19/0.69 % (536675)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 3.19/0.69 % (536673)------------------------------
% 3.19/0.69 % (536673)------------------------------
% 3.19/0.69 % (536675)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=3523237567:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2995 on theBenchmark for (2995ds/281Mi)
% 3.19/0.69 % (536625)Instruction limit reached!
% 3.19/0.69 % (536625)------------------------------
% 3.19/0.69 % (536625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.69 % (536625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.73 % (536625)CaDiCaL version: 2.1.3
% 3.52/0.73 % (536625)Termination reason: Instruction limit
% 3.52/0.73 % (536625)Termination phase: Saturation
% 3.52/0.73 % (536625)Time elapsed: 0.178 s
% 3.52/0.73 % (536625)Peak memory usage: 13 MB
% 3.52/0.73 % (536625)Instructions burned: 499 (million)
% 3.52/0.73 % (536665)Instruction limit reached!
% 3.52/0.73 % (536665)------------------------------
% 3.52/0.73 % (536665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.73 % (536665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.73 % (536665)CaDiCaL version: 2.1.3
% 3.52/0.73 % (536665)Termination reason: Instruction limit
% 3.52/0.73 % (536665)Termination phase: Saturation
% 3.52/0.73 % (536665)Time elapsed: 0.028 s
% 3.52/0.73 % (536665)Peak memory usage: 12 MB
% 3.52/0.73 % (536665)Instructions burned: 115 (million)
% 3.52/0.73 % (536676)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2774602676:i=619:add=on:rtra=on_2995 on theBenchmark for (2995ds/619Mi)
% 3.52/0.73 % (536676)Refutation not found, incomplete strategy
% 3.52/0.73 % (536676)------------------------------
% 3.52/0.73 % (536676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.73 % (536676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.73 % (536676)CaDiCaL version: 2.1.3
% 3.52/0.73 % (536676)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.73 % (536676)Time elapsed: 0.001 s
% 3.52/0.73 % (536676)Peak memory usage: 12 MB
% 3.52/0.73 % (536676)Instructions burned: 3 (million)
% 3.52/0.73 % (536676)------------------------------
% 3.52/0.73 % (536676)------------------------------
% 3.52/0.73 % (536678)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=301090568:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/865Mi)
% 3.52/0.73 % (536680)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1287703761:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/212Mi)
% 3.52/0.73 % (536680)Refutation not found, incomplete strategy
% 3.52/0.73 % (536680)------------------------------
% 3.52/0.73 % (536680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.73 % (536680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.73 % (536680)CaDiCaL version: 2.1.3
% 3.52/0.73 % (536680)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.73 % (536680)Time elapsed: 0.0000 s
% 3.52/0.73 % (536680)Peak memory usage: 11 MB
% 3.52/0.73 % (536680)Instructions burned: 1 (million)
% 3.52/0.73 % (536680)------------------------------
% 3.52/0.73 % (536680)------------------------------
% 3.52/0.73 % (536681)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1873934141:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.52/0.73 % (536681)Refutation not found, incomplete strategy
% 3.52/0.73 % (536681)------------------------------
% 3.52/0.73 % (536681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.73 % (536681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.73 % (536681)CaDiCaL version: 2.1.3
% 3.52/0.73 % (536681)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.73 % (536681)Time elapsed: 0.0000 s
% 3.52/0.73 % (536681)Peak memory usage: 11 MB
% 3.52/0.73 % (536681)------------------------------
% 3.52/0.73 % (536681)------------------------------
% 3.52/0.73 % (536683)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1737754887:st=1.5:i=346:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/346Mi)
% 3.52/0.73 % (536683)Refutation not found, incomplete strategy
% 3.52/0.73 % (536683)------------------------------
% 3.52/0.73 % (536683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.73 % (536683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.73 % (536683)CaDiCaL version: 2.1.3
% 3.52/0.73 % (536683)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.73 % (536683)Time elapsed: 0.0000 s
% 3.52/0.73 % (536683)Peak memory usage: 11 MB
% 3.52/0.73 % (536683)Instructions burned: 1 (million)
% 3.52/0.73 % (536683)------------------------------
% 3.52/0.73 % (536683)------------------------------
% 3.52/0.73 % (536686)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1626296735:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/152Mi)
% 3.83/0.85 % (536688)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3021933784:i=75:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/75Mi)
% 3.83/0.85 % (536690)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1983472468:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/387Mi)
% 3.83/0.85 % (536690)Refutation not found, incomplete strategy
% 3.83/0.85 % (536690)------------------------------
% 3.83/0.85 % (536690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.85 % (536690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.85 % (536690)CaDiCaL version: 2.1.3
% 3.83/0.85 % (536690)Termination reason: Refutation not found, incomplete strategy
% 3.83/0.85 % (536690)Time elapsed: 0.0000 s
% 3.83/0.85 % (536690)Peak memory usage: 11 MB
% 3.83/0.85 % (536690)Instructions burned: 1 (million)
% 3.83/0.85 % (536690)------------------------------
% 3.83/0.85 % (536690)------------------------------
% 3.83/0.85 % (536694)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=427037992:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2994 on theBenchmark for (2994ds/148Mi)
% 3.83/0.85 % (536688)Instruction limit reached!
% 3.83/0.85 % (536688)------------------------------
% 3.83/0.85 % (536688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.85 % (536688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.85 % (536688)CaDiCaL version: 2.1.3
% 3.83/0.85 % (536688)Termination reason: Instruction limit
% 3.83/0.85 % (536688)Termination phase: Saturation
% 3.83/0.85 % (536688)Time elapsed: 0.018 s
% 3.83/0.85 % (536688)Peak memory usage: 12 MB
% 3.83/0.85 % (536688)Instructions burned: 77 (million)
% 3.83/0.85 % (536696)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3354503318:i=161:piset=and:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/161Mi)
% 3.83/0.85 % (536686)Instruction limit reached!
% 3.83/0.85 % (536686)------------------------------
% 3.83/0.85 % (536686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.85 % (536686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.85 % (536686)CaDiCaL version: 2.1.3
% 3.83/0.85 % (536686)Termination reason: Instruction limit
% 3.83/0.85 % (536686)Termination phase: Saturation
% 3.83/0.85 % (536686)Time elapsed: 0.039 s
% 3.83/0.85 % (536686)Peak memory usage: 13 MB
% 3.83/0.85 % (536686)Instructions burned: 154 (million)
% 3.83/0.85 % (536698)lrs+10_1_sil=128000:si=on:random_seed=1776404069:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/888Mi)
% 3.83/0.85 % (536698)Refutation not found, incomplete strategy
% 3.83/0.85 % (536698)------------------------------
% 3.83/0.85 % (536698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.85 % (536698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.85 % (536698)CaDiCaL version: 2.1.3
% 3.83/0.85 % (536698)Termination reason: Refutation not found, incomplete strategy
% 3.83/0.85 % (536698)Time elapsed: 0.0000 s
% 3.83/0.85 % (536698)Peak memory usage: 11 MB
% 3.83/0.85 % (536698)Instructions burned: 1 (million)
% 3.83/0.85 % (536698)------------------------------
% 3.83/0.85 % (536698)------------------------------
% 3.83/0.85 % (536694)Instruction limit reached!
% 3.83/0.85 % (536694)------------------------------
% 3.83/0.85 % (536694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.85 % (536694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.85 % (536694)CaDiCaL version: 2.1.3
% 3.83/0.85 % (536694)Termination reason: Instruction limit
% 3.83/0.85 % (536694)Termination phase: Saturation
% 3.83/0.85 % (536694)Time elapsed: 0.036 s
% 3.83/0.85 % (536694)Peak memory usage: 12 MB
% 3.83/0.85 % (536694)Instructions burned: 153 (million)
% 3.83/0.85 % (536675)Instruction limit reached!
% 3.83/0.85 % (536675)------------------------------
% 3.83/0.85 % (536675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.85 % (536675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.85 % (536675)CaDiCaL version: 2.1.3
% 3.83/0.85 % (536675)Termination reason: Instruction limit
% 3.83/0.85 % (536675)Termination phase: Saturation
% 3.83/0.85 % (536675)Time elapsed: 0.076 s
% 4.84/0.94 % (536675)Peak memory usage: 13 MB
% 4.84/0.94 % (536675)Instructions burned: 284 (million)
% 4.84/0.94 % (536700)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=383767773:i=136:add=on:ins=4:rtra=on:sup=off_2994 on theBenchmark for (2994ds/136Mi)
% 4.84/0.94 % (536700)Refutation not found, incomplete strategy
% 4.84/0.94 % (536700)------------------------------
% 4.84/0.94 % (536700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.94 % (536700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.94 % (536700)CaDiCaL version: 2.1.3
% 4.84/0.94 % (536700)Termination reason: Refutation not found, incomplete strategy
% 4.84/0.94 % (536700)Time elapsed: 0.001 s
% 4.84/0.94 % (536700)Peak memory usage: 12 MB
% 4.84/0.94 % (536700)Instructions burned: 2 (million)
% 4.84/0.94 % (536701)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=3215283287:i=88:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/88Mi)
% 4.84/0.94 % (536700)------------------------------
% 4.84/0.94 % (536700)------------------------------
% 4.84/0.94 % (536696)Instruction limit reached!
% 4.84/0.94 % (536696)------------------------------
% 4.84/0.94 % (536696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.94 % (536696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.94 % (536696)CaDiCaL version: 2.1.3
% 4.84/0.94 % (536696)Termination reason: Instruction limit
% 4.84/0.94 % (536696)Termination phase: Saturation
% 4.84/0.94 % (536696)Time elapsed: 0.032 s
% 4.84/0.94 % (536696)Peak memory usage: 12 MB
% 4.84/0.94 % (536696)Instructions burned: 166 (million)
% 4.84/0.94 % (536702)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4238996838:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2994 on theBenchmark for (2994ds/93Mi)
% 4.84/0.94 % (536705)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1934837931:i=2186:rtra=on:ixr=off_2994 on theBenchmark for (2994ds/2186Mi)
% 4.84/0.94 % (536707)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1683255950:s2a=on:i=240:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/240Mi)
% 4.84/0.94 % (536701)Instruction limit reached!
% 4.84/0.94 % (536701)------------------------------
% 4.84/0.94 % (536701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.94 % (536701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.94 % (536701)CaDiCaL version: 2.1.3
% 4.84/0.94 % (536701)Termination reason: Instruction limit
% 4.84/0.94 % (536701)Termination phase: Saturation
% 4.84/0.94 % (536701)Time elapsed: 0.020 s
% 4.84/0.94 % (536701)Peak memory usage: 13 MB
% 4.84/0.94 % (536701)Instructions burned: 92 (million)
% 4.84/0.94 % (536702)Instruction limit reached!
% 4.84/0.94 % (536702)------------------------------
% 4.84/0.94 % (536702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.94 % (536702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.94 % (536702)CaDiCaL version: 2.1.3
% 4.84/0.94 % (536702)Termination reason: Instruction limit
% 4.84/0.94 % (536702)Termination phase: Saturation
% 4.84/0.94 % (536702)Time elapsed: 0.024 s
% 4.84/0.94 % (536702)Peak memory usage: 13 MB
% 4.84/0.94 % (536702)Instructions burned: 96 (million)
% 4.84/0.94 % (536710)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2868980707:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/805Mi)
% 4.84/0.94 % (536711)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 4.84/0.94 % (536711)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=2538191242:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2994 on theBenchmark for (2994ds/391Mi)
% 4.84/0.94 % (536711)Refutation not found, incomplete strategy
% 4.84/0.94 % (536711)------------------------------
% 4.84/0.94 % (536711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.94 % (536711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.99 % (536711)CaDiCaL version: 2.1.3
% 4.84/0.99 % (536711)Termination reason: Refutation not found, incomplete strategy
% 4.84/0.99 % (536711)Time elapsed: 0.0000 s
% 4.84/0.99 % (536711)Peak memory usage: 11 MB
% 4.84/0.99 % (536711)Instructions burned: 1 (million)
% 4.84/0.99 % (536711)------------------------------
% 4.84/0.99 % (536711)------------------------------
% 4.84/0.99 % (536714)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1693581526:i=355:av=off:fsr=off:rtra=on:ixr=off_2994 on theBenchmark for (2994ds/355Mi)
% 4.84/0.99 % (536707)Instruction limit reached!
% 4.84/0.99 % (536707)------------------------------
% 4.84/0.99 % (536707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.99 % (536707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.99 % (536707)CaDiCaL version: 2.1.3
% 4.84/0.99 % (536707)Termination reason: Instruction limit
% 4.84/0.99 % (536707)Termination phase: Saturation
% 4.84/0.99 % (536707)Time elapsed: 0.049 s
% 4.84/0.99 % (536707)Peak memory usage: 13 MB
% 4.84/0.99 % (536707)Instructions burned: 244 (million)
% 4.84/0.99 % (536716)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=735344184:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/314Mi)
% 4.84/0.99 % (536716)Refutation not found, incomplete strategy
% 4.84/0.99 % (536716)------------------------------
% 4.84/0.99 % (536716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.99 % (536716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.99 % (536716)CaDiCaL version: 2.1.3
% 4.84/0.99 % (536716)Termination reason: Refutation not found, incomplete strategy
% 4.84/0.99 % (536716)Time elapsed: 0.0000 s
% 4.84/0.99 % (536716)Peak memory usage: 11 MB
% 4.84/0.99 % (536716)Instructions burned: 1 (million)
% 4.84/0.99 % (536716)------------------------------
% 4.84/0.99 % (536716)------------------------------
% 4.84/0.99 % (536718)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2393743944:s2a=on:i=251:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/251Mi)
% 4.84/0.99 % (536661)Instruction limit reached!
% 4.84/0.99 % (536661)------------------------------
% 4.84/0.99 % (536661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.99 % (536661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.99 % (536661)CaDiCaL version: 2.1.3
% 4.84/0.99 % (536661)Termination reason: Instruction limit
% 4.84/0.99 % (536661)Termination phase: Saturation
% 4.84/0.99 % (536661)Time elapsed: 0.247 s
% 4.84/0.99 % (536661)Peak memory usage: 13 MB
% 4.84/0.99 % (536661)Instructions burned: 1443 (million)
% 4.84/0.99 % (536720)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=2456356804: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_2993 on theBenchmark for (2993ds/2470Mi)
% 4.84/0.99 % (536714)Instruction limit reached!
% 4.84/0.99 % (536714)------------------------------
% 4.84/0.99 % (536714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.99 % (536714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.99 % (536714)CaDiCaL version: 2.1.3
% 4.84/0.99 % (536714)Termination reason: Instruction limit
% 4.84/0.99 % (536714)Termination phase: Saturation
% 4.84/0.99 % (536714)Time elapsed: 0.080 s
% 4.84/0.99 % (536714)Peak memory usage: 12 MB
% 4.84/0.99 % (536714)Instructions burned: 358 (million)
% 4.84/0.99 % (536722)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3678227500:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2993 on theBenchmark for (2993ds/673Mi)
% 4.84/0.99 % (536718)Instruction limit reached!
% 4.84/0.99 % (536718)------------------------------
% 4.84/0.99 % (536718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.84/0.99 % (536718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/0.99 % (536718)CaDiCaL version: 2.1.3
% 4.84/0.99 % (536718)Termination reason: Instruction limit
% 4.84/0.99 % (536718)Termination phase: Saturation
% 4.84/0.99 % (536718)Time elapsed: 0.059 s
% 4.84/0.99 % (536718)Peak memory usage: 12 MB
% 4.84/0.99 % (536718)Instructions burned: 255 (million)
% 4.84/0.99 % (536724)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3067780465:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 6.01/1.08 % (536678)Instruction limit reached!
% 6.01/1.08 % (536678)------------------------------
% 6.01/1.08 % (536678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.08 % (536678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.08 % (536678)CaDiCaL version: 2.1.3
% 6.01/1.08 % (536678)Termination reason: Instruction limit
% 6.01/1.08 % (536678)Termination phase: Saturation
% 6.01/1.08 % (536678)Time elapsed: 0.244 s
% 6.01/1.08 % (536678)Peak memory usage: 15 MB
% 6.01/1.08 % (536678)Instructions burned: 865 (million)
% 6.01/1.08 % (536726)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4103243867:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 6.01/1.08 % (536724)Instruction limit reached!
% 6.01/1.08 % (536724)------------------------------
% 6.01/1.08 % (536724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.08 % (536724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.08 % (536724)CaDiCaL version: 2.1.3
% 6.01/1.08 % (536724)Termination reason: Instruction limit
% 6.01/1.08 % (536724)Termination phase: Saturation
% 6.01/1.08 % (536724)Time elapsed: 0.025 s
% 6.01/1.08 % (536724)Peak memory usage: 12 MB
% 6.01/1.08 % (536724)Instructions burned: 121 (million)
% 6.01/1.08 % (536728)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=2824408521: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_2992 on theBenchmark for (2992ds/30Mi)
% 6.01/1.08 % (536728)Instruction limit reached!
% 6.01/1.08 % (536728)------------------------------
% 6.01/1.08 % (536728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.08 % (536728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.08 % (536728)CaDiCaL version: 2.1.3
% 6.01/1.08 % (536728)Termination reason: Instruction limit
% 6.01/1.08 % (536728)Termination phase: Saturation
% 6.01/1.08 % (536728)Time elapsed: 0.008 s
% 6.01/1.08 % (536728)Peak memory usage: 12 MB
% 6.01/1.08 % (536728)Instructions burned: 31 (million)
% 6.01/1.08 % (536710)Instruction limit reached!
% 6.01/1.08 % (536710)------------------------------
% 6.01/1.08 % (536710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.08 % (536710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.08 % (536710)CaDiCaL version: 2.1.3
% 6.01/1.08 % (536710)Termination reason: Instruction limit
% 6.01/1.08 % (536710)Termination phase: Saturation
% 6.01/1.08 % (536710)Time elapsed: 0.168 s
% 6.01/1.08 % (536710)Peak memory usage: 14 MB
% 6.01/1.08 % (536710)Instructions burned: 810 (million)
% 6.01/1.08 % (536730)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 6.01/1.08 % (536730)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1737303485:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2992 on theBenchmark for (2992ds/39Mi)
% 6.01/1.08 % (536731)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3327369056:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/365Mi)
% 6.01/1.08 % (536730)Instruction limit reached!
% 6.01/1.08 % (536730)------------------------------
% 6.01/1.08 % (536730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.08 % (536730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.08 % (536730)CaDiCaL version: 2.1.3
% 6.01/1.08 % (536730)Termination reason: Instruction limit
% 6.01/1.08 % (536730)Termination phase: Saturation
% 6.01/1.08 % (536730)Time elapsed: 0.011 s
% 6.01/1.08 % (536730)Peak memory usage: 12 MB
% 6.01/1.08 % (536730)Instructions burned: 43 (million)
% 6.01/1.08 % (536734)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1342608999:i=158:av=off:rtra=on_2992 on theBenchmark for (2992ds/158Mi)
% 6.01/1.08 % (536726)Instruction limit reached!
% 6.01/1.08 % (536726)------------------------------
% 6.01/1.08 % (536726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.08 % (536726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.08 % (536726)CaDiCaL version: 2.1.3
% 6.58/1.14 % (536726)Termination reason: Instruction limit
% 6.58/1.14 % (536726)Termination phase: Saturation
% 6.58/1.14 % (536726)Time elapsed: 0.061 s
% 6.58/1.14 % (536726)Peak memory usage: 12 MB
% 6.58/1.14 % (536726)Instructions burned: 273 (million)
% 6.58/1.14 % (536736)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
% 6.58/1.14 % (536736)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=227280952:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/252Mi)
% 6.58/1.14 % (536734)Instruction limit reached!
% 6.58/1.14 % (536734)------------------------------
% 6.58/1.14 % (536734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.14 % (536734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.14 % (536734)CaDiCaL version: 2.1.3
% 6.58/1.14 % (536734)Termination reason: Instruction limit
% 6.58/1.14 % (536734)Termination phase: Saturation
% 6.58/1.14 % (536734)Time elapsed: 0.039 s
% 6.58/1.14 % (536734)Peak memory usage: 12 MB
% 6.58/1.14 % (536734)Instructions burned: 161 (million)
% 6.58/1.14 % (536722)Instruction limit reached!
% 6.58/1.14 % (536722)------------------------------
% 6.58/1.14 % (536722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.14 % (536722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.14 % (536722)CaDiCaL version: 2.1.3
% 6.58/1.14 % (536722)Termination reason: Instruction limit
% 6.58/1.14 % (536722)Termination phase: Saturation
% 6.58/1.14 % (536722)Time elapsed: 0.133 s
% 6.58/1.14 % (536722)Peak memory usage: 13 MB
% 6.58/1.14 % (536722)Instructions burned: 674 (million)
% 6.58/1.14 % (536738)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3367230441:i=213:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/213Mi)
% 6.58/1.14 % (536738)Refutation not found, incomplete strategy
% 6.58/1.14 % (536738)------------------------------
% 6.58/1.14 % (536738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.14 % (536738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.14 % (536738)CaDiCaL version: 2.1.3
% 6.58/1.14 % (536738)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.14 % (536738)Time elapsed: 0.0000 s
% 6.58/1.14 % (536738)Peak memory usage: 11 MB
% 6.58/1.14 % (536738)Instructions burned: 1 (million)
% 6.58/1.14 % (536738)------------------------------
% 6.58/1.14 % (536738)------------------------------
% 6.58/1.14 % (536739)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=2096383033:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/160Mi)
% 6.58/1.14 % (536739)Refutation not found, incomplete strategy
% 6.58/1.14 % (536739)------------------------------
% 6.58/1.14 % (536739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.14 % (536739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.14 % (536739)CaDiCaL version: 2.1.3
% 6.58/1.14 % (536739)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.14 % (536739)Time elapsed: 0.0000 s
% 6.58/1.14 % (536739)Peak memory usage: 11 MB
% 6.58/1.14 % (536739)Instructions burned: 1 (million)
% 6.58/1.14 % (536739)------------------------------
% 6.58/1.14 % (536739)------------------------------
% 6.58/1.14 % (536731)Instruction limit reached!
% 6.58/1.14 % (536731)------------------------------
% 6.58/1.14 % (536731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.14 % (536731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.14 % (536731)CaDiCaL version: 2.1.3
% 6.58/1.14 % (536731)Termination reason: Instruction limit
% 6.58/1.14 % (536731)Termination phase: Saturation
% 6.58/1.14 % (536731)Time elapsed: 0.075 s
% 6.58/1.14 % (536731)Peak memory usage: 13 MB
% 6.58/1.14 % (536731)Instructions burned: 370 (million)
% 6.58/1.14 % (536741)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1580673872:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/763Mi)
% 6.58/1.14 % (536743)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 6.58/1.14 % (536743)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=45267768:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2991 on theBenchmark for (2991ds/237Mi)
% 6.58/1.17 % (536743)Refutation not found, incomplete strategy
% 6.58/1.17 % (536743)------------------------------
% 6.58/1.17 % (536743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.17 % (536743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.17 % (536743)CaDiCaL version: 2.1.3
% 6.58/1.17 % (536743)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.17 % (536743)Time elapsed: 0.0000 s
% 6.58/1.17 % (536743)Peak memory usage: 11 MB
% 6.58/1.17 % (536743)------------------------------
% 6.58/1.17 % (536743)------------------------------
% 6.58/1.17 % (536744)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=480622621:s2a=on:i=386:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/386Mi)
% 6.58/1.17 % (536736)Instruction limit reached!
% 6.58/1.17 % (536736)------------------------------
% 6.58/1.17 % (536736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.17 % (536736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.17 % (536736)CaDiCaL version: 2.1.3
% 6.58/1.17 % (536736)Termination reason: Instruction limit
% 6.58/1.17 % (536736)Termination phase: Saturation
% 6.58/1.17 % (536736)Time elapsed: 0.051 s
% 6.58/1.17 % (536736)Peak memory usage: 13 MB
% 6.58/1.17 % (536736)Instructions burned: 252 (million)
% 6.58/1.17 % (536747)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=4057941402:i=300:piset=and:nm=32:rtra=on_2991 on theBenchmark for (2991ds/300Mi)
% 6.58/1.17 % (536750)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3099306130:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/567Mi)
% 6.58/1.17 % (536750)Refutation not found, incomplete strategy
% 6.58/1.17 % (536750)------------------------------
% 6.58/1.17 % (536750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.17 % (536750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.17 % (536750)CaDiCaL version: 2.1.3
% 6.58/1.17 % (536750)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.17 % (536750)Time elapsed: 0.0000 s
% 6.58/1.17 % (536750)Peak memory usage: 11 MB
% 6.58/1.17 % (536750)Instructions burned: 1 (million)
% 6.58/1.17 % (536750)------------------------------
% 6.58/1.17 % (536750)------------------------------
% 6.58/1.17 % (536752)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2624271310:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2991 on theBenchmark for (2991ds/379Mi)
% 6.58/1.17 % (536752)Refutation not found, incomplete strategy
% 6.58/1.17 % (536752)------------------------------
% 6.58/1.17 % (536752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.17 % (536752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.17 % (536752)CaDiCaL version: 2.1.3
% 6.58/1.17 % (536752)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.17 % (536752)Time elapsed: 0.0000 s
% 6.58/1.17 % (536752)Peak memory usage: 12 MB
% 6.58/1.17 % (536752)Instructions burned: 1 (million)
% 6.58/1.17 % (536752)------------------------------
% 6.58/1.17 % (536752)------------------------------
% 6.58/1.17 % (536754)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=535877219:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2991 on theBenchmark for (2991ds/429Mi)
% 6.58/1.17 % (536747)Instruction limit reached!
% 6.58/1.17 % (536747)------------------------------
% 6.58/1.17 % (536747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.58/1.17 % (536747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.17 % (536747)CaDiCaL version: 2.1.3
% 6.58/1.17 % (536747)Termination reason: Instruction limit
% 6.58/1.17 % (536747)Termination phase: Saturation
% 6.58/1.17 % (536747)Time elapsed: 0.069 s
% 6.58/1.17 % (536747)Peak memory usage: 12 MB
% 6.58/1.17 % (536747)Instructions burned: 302 (million)
% 6.58/1.17 % (536756)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1082915322:i=478:bd=all:rtra=on_2990 on theBenchmark for (2990ds/478Mi)
% 6.58/1.17 % (536756)Refutation not found, incomplete strategy
% 7.15/1.23 % (536756)------------------------------
% 7.15/1.23 % (536756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.23 % (536756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.23 % (536756)CaDiCaL version: 2.1.3
% 7.15/1.23 % (536756)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.23 % (536756)Time elapsed: 0.001 s
% 7.15/1.23 % (536756)Peak memory usage: 12 MB
% 7.15/1.23 % (536756)Instructions burned: 2 (million)
% 7.15/1.23 % (536756)------------------------------
% 7.15/1.23 % (536756)------------------------------
% 7.15/1.23 % (536744)Instruction limit reached!
% 7.15/1.23 % (536744)------------------------------
% 7.15/1.23 % (536744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.23 % (536744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.23 % (536744)CaDiCaL version: 2.1.3
% 7.15/1.23 % (536744)Termination reason: Instruction limit
% 7.15/1.23 % (536744)Termination phase: Saturation
% 7.15/1.23 % (536744)Time elapsed: 0.092 s
% 7.15/1.23 % (536744)Peak memory usage: 12 MB
% 7.15/1.23 % (536744)Instructions burned: 386 (million)
% 7.15/1.23 % (536758)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3628316294:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2990 on theBenchmark for (2990ds/445Mi)
% 7.15/1.23 % (536759)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=25154113:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/71Mi)
% 7.15/1.23 % (536759)Instruction limit reached!
% 7.15/1.23 % (536759)------------------------------
% 7.15/1.23 % (536759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.23 % (536759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.23 % (536759)CaDiCaL version: 2.1.3
% 7.15/1.23 % (536759)Termination reason: Instruction limit
% 7.15/1.23 % (536759)Termination phase: Saturation
% 7.15/1.23 % (536759)Time elapsed: 0.021 s
% 7.15/1.23 % (536759)Peak memory usage: 12 MB
% 7.15/1.23 % (536759)Instructions burned: 75 (million)
% 7.15/1.23 % (536705)Instruction limit reached!
% 7.15/1.23 % (536705)------------------------------
% 7.15/1.23 % (536705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.23 % (536705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.23 % (536705)CaDiCaL version: 2.1.3
% 7.15/1.23 % (536705)Termination reason: Instruction limit
% 7.15/1.23 % (536705)Termination phase: Saturation
% 7.15/1.23 % (536705)Time elapsed: 0.413 s
% 7.15/1.23 % (536705)Peak memory usage: 13 MB
% 7.15/1.23 % (536705)Instructions burned: 2190 (million)
% 7.15/1.23 % (536763)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3114964377:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/302Mi)
% 7.15/1.23 % (536763)Refutation not found, incomplete strategy
% 7.15/1.23 % (536763)------------------------------
% 7.15/1.23 % (536763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.23 % (536763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.23 % (536763)CaDiCaL version: 2.1.3
% 7.15/1.23 % (536763)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.23 % (536763)Time elapsed: 0.0000 s
% 7.15/1.23 % (536763)Peak memory usage: 11 MB
% 7.15/1.23 % (536763)Instructions burned: 1 (million)
% 7.15/1.23 % (536763)------------------------------
% 7.15/1.23 % (536763)------------------------------
% 7.15/1.23 % (536764)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2072187588:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/4980Mi)
% 7.15/1.23 % (536764)Refutation not found, incomplete strategy
% 7.15/1.23 % (536764)------------------------------
% 7.15/1.23 % (536764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.23 % (536764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.23 % (536764)CaDiCaL version: 2.1.3
% 7.15/1.23 % (536764)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.23 % (536764)Time elapsed: 0.0000 s
% 7.15/1.23 % (536764)Peak memory usage: 11 MB
% 7.15/1.23 % (536764)------------------------------
% 7.15/1.23 % (536764)------------------------------
% 7.15/1.23 % (536766)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.67/1.31 % (536766)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.67/1.31 % (536766)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1591441646:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2990 on theBenchmark for (2990ds/100Mi)
% 7.67/1.31 % (536754)Instruction limit reached!
% 7.67/1.31 % (536754)------------------------------
% 7.67/1.31 % (536754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.31 % (536754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.31 % (536754)CaDiCaL version: 2.1.3
% 7.67/1.31 % (536754)Termination reason: Instruction limit
% 7.67/1.31 % (536754)Termination phase: Saturation
% 7.67/1.31 % (536754)Time elapsed: 0.107 s
% 7.67/1.31 % (536754)Peak memory usage: 13 MB
% 7.67/1.31 % (536754)Instructions burned: 433 (million)
% 7.67/1.31 % (536768)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=2745466436:i=76:piset=equals:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/76Mi)
% 7.67/1.31 % (536770)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2560487642:i=289:rtra=on_2989 on theBenchmark for (2989ds/289Mi)
% 7.67/1.31 % (536770)Refutation not found, incomplete strategy
% 7.67/1.31 % (536770)------------------------------
% 7.67/1.31 % (536770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.31 % (536770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.31 % (536770)CaDiCaL version: 2.1.3
% 7.67/1.31 % (536770)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.31 % (536770)Time elapsed: 0.001 s
% 7.67/1.31 % (536770)Peak memory usage: 12 MB
% 7.67/1.31 % (536770)Instructions burned: 2 (million)
% 7.67/1.31 % (536770)------------------------------
% 7.67/1.31 % (536770)------------------------------
% 7.67/1.31 % (536766)Instruction limit reached!
% 7.67/1.31 % (536766)------------------------------
% 7.67/1.31 % (536766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.31 % (536766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.31 % (536766)CaDiCaL version: 2.1.3
% 7.67/1.31 % (536766)Termination reason: Instruction limit
% 7.67/1.31 % (536766)Termination phase: Saturation
% 7.67/1.31 % (536766)Time elapsed: 0.023 s
% 7.67/1.31 % (536766)Peak memory usage: 12 MB
% 7.67/1.31 % (536766)Instructions burned: 104 (million)
% 7.67/1.31 % (536768)Instruction limit reached!
% 7.67/1.31 % (536768)------------------------------
% 7.67/1.31 % (536768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.31 % (536768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.31 % (536768)CaDiCaL version: 2.1.3
% 7.67/1.31 % (536768)Termination reason: Instruction limit
% 7.67/1.31 % (536768)Termination phase: Saturation
% 7.67/1.31 % (536768)Time elapsed: 0.021 s
% 7.67/1.31 % (536768)Peak memory usage: 13 MB
% 7.67/1.31 % (536768)Instructions burned: 78 (million)
% 7.67/1.31 % (536773)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=712661739:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2989 on theBenchmark for (2989ds/493Mi)
% 7.67/1.31 % (536776)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 7.67/1.31 % (536774)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=653244160:cond=on:i=34:hud=10:nm=10:rtra=on_2989 on theBenchmark for (2989ds/34Mi)
% 7.67/1.31 % (536776)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=3392246258:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2989 on theBenchmark for (2989ds/372Mi)
% 7.67/1.31 % (536776)Refutation not found, incomplete strategy
% 7.67/1.31 % (536776)------------------------------
% 7.67/1.31 % (536776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.31 % (536776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.31 % (536776)CaDiCaL version: 2.1.3
% 7.67/1.31 % (536776)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.35 % (536776)Time elapsed: 0.001 s
% 7.67/1.35 % (536776)Peak memory usage: 12 MB
% 7.67/1.35 % (536776)Instructions burned: 3 (million)
% 7.67/1.35 % (536776)------------------------------
% 7.67/1.35 % (536776)------------------------------
% 7.67/1.35 % (536774)Instruction limit reached!
% 7.67/1.35 % (536774)------------------------------
% 7.67/1.35 % (536774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.35 % (536774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.35 % (536774)CaDiCaL version: 2.1.3
% 7.67/1.35 % (536774)Termination reason: Instruction limit
% 7.67/1.35 % (536774)Termination phase: Saturation
% 7.67/1.35 % (536774)Time elapsed: 0.009 s
% 7.67/1.35 % (536774)Peak memory usage: 12 MB
% 7.67/1.35 % (536774)Instructions burned: 35 (million)
% 7.67/1.35 % (536779)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=444018803:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2989 on theBenchmark for (2989ds/670Mi)
% 7.67/1.35 % (536741)Instruction limit reached!
% 7.67/1.35 % (536741)------------------------------
% 7.67/1.35 % (536741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.35 % (536741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.35 % (536741)CaDiCaL version: 2.1.3
% 7.67/1.35 % (536741)Termination reason: Instruction limit
% 7.67/1.35 % (536741)Termination phase: Saturation
% 7.67/1.35 % (536741)Time elapsed: 0.204 s
% 7.67/1.35 % (536741)Peak memory usage: 14 MB
% 7.67/1.35 % (536741)Instructions burned: 766 (million)
% 7.67/1.35 % (536780)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=295479678:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/647Mi)
% 7.67/1.35 % (536780)Refutation not found, incomplete strategy
% 7.67/1.35 % (536780)------------------------------
% 7.67/1.35 % (536780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.35 % (536780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.35 % (536780)CaDiCaL version: 2.1.3
% 7.67/1.35 % (536780)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.35 % (536780)Time elapsed: 0.0000 s
% 7.67/1.35 % (536780)Peak memory usage: 11 MB
% 7.67/1.35 % (536780)------------------------------
% 7.67/1.35 % (536780)------------------------------
% 7.67/1.35 % (536782)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=3705579689:i=857:add=off:kws=frequency:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/857Mi)
% 7.67/1.35 % (536784)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=655981656:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2989 on theBenchmark for (2989ds/693Mi)
% 7.67/1.35 % (536758)Instruction limit reached!
% 7.67/1.35 % (536758)------------------------------
% 7.67/1.35 % (536758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.35 % (536758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.35 % (536758)CaDiCaL version: 2.1.3
% 7.67/1.35 % (536758)Termination reason: Instruction limit
% 7.67/1.35 % (536758)Termination phase: Saturation
% 7.67/1.35 % (536758)Time elapsed: 0.118 s
% 7.67/1.35 % (536758)Peak memory usage: 14 MB
% 7.67/1.35 % (536758)Instructions burned: 446 (million)
% 7.67/1.35 % (536787)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1566898129:i=285:hud=10:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/285Mi)
% 7.67/1.35 % (536787)Refutation not found, incomplete strategy
% 7.67/1.35 % (536787)------------------------------
% 7.67/1.35 % (536787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.35 % (536787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.35 % (536787)CaDiCaL version: 2.1.3
% 7.67/1.35 % (536787)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.35 % (536787)Time elapsed: 0.0000 s
% 7.67/1.35 % (536787)Peak memory usage: 11 MB
% 7.67/1.35 % (536787)Instructions burned: 1 (million)
% 7.67/1.35 % (536787)------------------------------
% 7.67/1.35 % (536787)------------------------------
% 7.67/1.35 % (536789)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 7.67/1.35 % (536789)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=4060852792:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/52Mi)
% 8.49/1.40 % (536789)Instruction limit reached!
% 8.49/1.40 % (536789)------------------------------
% 8.49/1.40 % (536789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.49/1.40 % (536789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/1.40 % (536789)CaDiCaL version: 2.1.3
% 8.49/1.40 % (536789)Termination reason: Instruction limit
% 8.49/1.40 % (536789)Termination phase: Saturation
% 8.49/1.40 % (536789)Time elapsed: 0.011 s
% 8.49/1.40 % (536789)Peak memory usage: 12 MB
% 8.49/1.40 % (536789)Instructions burned: 54 (million)
% 8.49/1.40 % (536791)dis+10_1_si=on:random_seed=1578632777:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2988 on theBenchmark for (2988ds/407Mi)
% 8.49/1.40 % (536791)Refutation not found, incomplete strategy
% 8.49/1.40 % (536791)------------------------------
% 8.49/1.40 % (536791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.49/1.40 % (536791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/1.40 % (536791)CaDiCaL version: 2.1.3
% 8.49/1.40 % (536791)Termination reason: Refutation not found, incomplete strategy
% 8.49/1.40 % (536791)Time elapsed: 0.0000 s
% 8.49/1.40 % (536791)Peak memory usage: 11 MB
% 8.49/1.40 % (536791)Instructions burned: 1 (million)
% 8.49/1.40 % (536791)------------------------------
% 8.49/1.40 % (536791)------------------------------
% 8.49/1.40 % (536793)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=1844710208:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/2240Mi)
% 8.49/1.40 % (536773)Instruction limit reached!
% 8.49/1.40 % (536773)------------------------------
% 8.49/1.40 % (536773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.49/1.40 % (536773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/1.40 % (536773)CaDiCaL version: 2.1.3
% 8.49/1.40 % (536773)Termination reason: Instruction limit
% 8.49/1.40 % (536773)Termination phase: Saturation
% 8.49/1.40 % (536773)Time elapsed: 0.113 s
% 8.49/1.40 % (536773)Peak memory usage: 13 MB
% 8.49/1.40 % (536773)Instructions burned: 497 (million)
% 8.49/1.40 % (536795)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=803067740:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/336Mi)
% 8.49/1.40 % (536795)Refutation not found, incomplete strategy
% 8.49/1.40 % (536795)------------------------------
% 8.49/1.40 % (536795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.49/1.40 % (536795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/1.40 % (536795)CaDiCaL version: 2.1.3
% 8.49/1.40 % (536795)Termination reason: Refutation not found, incomplete strategy
% 8.49/1.40 % (536795)Time elapsed: 0.0000 s
% 8.49/1.40 % (536795)Peak memory usage: 11 MB
% 8.49/1.40 % (536795)------------------------------
% 8.49/1.40 % (536795)------------------------------
% 8.49/1.40 % (536797)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3509029909:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2988 on theBenchmark for (2988ds/1142Mi)
% 8.49/1.40 % (536797)Refutation not found, incomplete strategy
% 8.49/1.40 % (536797)------------------------------
% 8.49/1.40 % (536797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.49/1.40 % (536797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/1.40 % (536797)CaDiCaL version: 2.1.3
% 8.49/1.40 % (536797)Termination reason: Refutation not found, incomplete strategy
% 8.49/1.40 % (536797)Time elapsed: 0.003 s
% 8.49/1.40 % (536797)Peak memory usage: 12 MB
% 8.49/1.40 % (536797)Instructions burned: 10 (million)
% 8.49/1.40 % (536797)------------------------------
% 8.49/1.40 % (536797)------------------------------
% 8.49/1.40 % (536799)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3387198053:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/376Mi)
% 8.49/1.40 % (536799)Refutation not found, incomplete strategy
% 8.49/1.40 % (536799)------------------------------
% 8.49/1.40 % (536799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.49/1.40 % (536799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.53 % (536799)CaDiCaL version: 2.1.3
% 8.83/1.53 % (536799)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.53 % (536799)Time elapsed: 0.0000 s
% 8.83/1.53 % (536799)Peak memory usage: 11 MB
% 8.83/1.53 % (536799)Instructions burned: 1 (million)
% 8.83/1.53 % (536799)------------------------------
% 8.83/1.53 % (536799)------------------------------
% 8.83/1.53 % (536779)Instruction limit reached!
% 8.83/1.53 % (536779)------------------------------
% 8.83/1.53 % (536779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.53 % (536779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.53 % (536779)CaDiCaL version: 2.1.3
% 8.83/1.53 % (536779)Termination reason: Instruction limit
% 8.83/1.53 % (536779)Termination phase: Saturation
% 8.83/1.53 % (536779)Time elapsed: 0.131 s
% 8.83/1.53 % (536779)Peak memory usage: 12 MB
% 8.83/1.53 % (536779)Instructions burned: 675 (million)
% 8.83/1.53 % (536801)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=4012618012:i=766:bd=all:rtra=on_2988 on theBenchmark for (2988ds/766Mi)
% 8.83/1.53 % (536802)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 8.83/1.53 % (536801)Refutation not found, incomplete strategy
% 8.83/1.53 % (536801)------------------------------
% 8.83/1.53 % (536801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.53 % (536801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.53 % (536801)CaDiCaL version: 2.1.3
% 8.83/1.53 % (536801)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.53 % (536801)Time elapsed: 0.001 s
% 8.83/1.53 % (536801)Peak memory usage: 12 MB
% 8.83/1.53 % (536801)Instructions burned: 2 (million)
% 8.83/1.53 % (536801)------------------------------
% 8.83/1.53 % (536801)------------------------------
% 8.83/1.53 % (536802)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=197171011: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_2988 on theBenchmark for (2988ds/959Mi)
% 8.83/1.53 % (536802)Refutation not found, incomplete strategy
% 8.83/1.53 % (536802)------------------------------
% 8.83/1.53 % (536802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.53 % (536802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.53 % (536802)CaDiCaL version: 2.1.3
% 8.83/1.53 % (536802)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.53 % (536802)Time elapsed: 0.0000 s
% 8.83/1.53 % (536802)Peak memory usage: 11 MB
% 8.83/1.53 % (536802)------------------------------
% 8.83/1.53 % (536802)------------------------------
% 8.83/1.53 % (536804)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=921706621:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2988 on theBenchmark for (2988ds/6359Mi)
% 8.83/1.53 % (536806)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1347492418:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2988 on theBenchmark for (2988ds/35Mi)
% 8.83/1.53 % (536806)Refutation not found, incomplete strategy
% 8.83/1.53 % (536806)------------------------------
% 8.83/1.53 % (536806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.53 % (536806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.53 % (536806)CaDiCaL version: 2.1.3
% 8.83/1.53 % (536806)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.53 % (536806)Time elapsed: 0.0000 s
% 8.83/1.53 % (536806)Peak memory usage: 11 MB
% 8.83/1.53 % (536806)------------------------------
% 8.83/1.53 % (536806)------------------------------
% 8.83/1.53 % (536784)Instruction limit reached!
% 8.83/1.53 % (536784)------------------------------
% 8.83/1.53 % (536784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.53 % (536784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.53 % (536784)CaDiCaL version: 2.1.3
% 8.83/1.53 % (536784)Termination reason: Instruction limit
% 8.83/1.53 % (536784)Termination phase: Saturation
% 8.83/1.53 % (536784)Time elapsed: 0.143 s
% 8.83/1.53 % (536784)Peak memory usage: 13 MB
% 8.83/1.53 % (536784)Instructions burned: 696 (million)
% 8.83/1.58 % (536809)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2058076313:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/53Mi)
% 8.83/1.58 % (536810)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1582793724:s2a=on:i=876:s2at=6:nm=2:rtra=on_2987 on theBenchmark for (2987ds/876Mi)
% 8.83/1.58 % (536782)Instruction limit reached!
% 8.83/1.58 % (536782)------------------------------
% 8.83/1.58 % (536782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.58 % (536782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.58 % (536782)CaDiCaL version: 2.1.3
% 8.83/1.58 % (536782)Termination reason: Instruction limit
% 8.83/1.58 % (536782)Termination phase: Saturation
% 8.83/1.58 % (536782)Time elapsed: 0.160 s
% 8.83/1.58 % (536782)Peak memory usage: 13 MB
% 8.83/1.58 % (536782)Instructions burned: 862 (million)
% 8.83/1.58 % (536809)Instruction limit reached!
% 8.83/1.58 % (536809)------------------------------
% 8.83/1.58 % (536809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.58 % (536809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.58 % (536809)CaDiCaL version: 2.1.3
% 8.83/1.58 % (536809)Termination reason: Instruction limit
% 8.83/1.58 % (536809)Termination phase: Saturation
% 8.83/1.58 % (536809)Time elapsed: 0.016 s
% 8.83/1.58 % (536809)Peak memory usage: 12 MB
% 8.83/1.58 % (536809)Instructions burned: 57 (million)
% 8.83/1.58 % (536813)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2811610669:i=57:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/57Mi)
% 8.83/1.58 % (536814)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.83/1.58 % (536814)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=353265822:i=306:bd=all:rtra=on_2987 on theBenchmark for (2987ds/306Mi)
% 8.83/1.58 % (536814)Refutation not found, incomplete strategy
% 8.83/1.58 % (536814)------------------------------
% 8.83/1.58 % (536814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.58 % (536814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.58 % (536814)CaDiCaL version: 2.1.3
% 8.83/1.58 % (536814)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.58 % (536814)Time elapsed: 0.001 s
% 8.83/1.58 % (536814)Peak memory usage: 12 MB
% 8.83/1.58 % (536814)Instructions burned: 2 (million)
% 8.83/1.58 % (536814)------------------------------
% 8.83/1.58 % (536814)------------------------------
% 8.83/1.58 % (536813)Instruction limit reached!
% 8.83/1.58 % (536813)------------------------------
% 8.83/1.58 % (536813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.58 % (536813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.58 % (536813)CaDiCaL version: 2.1.3
% 8.83/1.58 % (536813)Termination reason: Instruction limit
% 8.83/1.58 % (536813)Termination phase: Saturation
% 8.83/1.58 % (536813)Time elapsed: 0.014 s
% 8.83/1.58 % (536813)Peak memory usage: 12 MB
% 8.83/1.58 % (536813)Instructions burned: 58 (million)
% 8.83/1.58 % (536817)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2332982963:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/262Mi)
% 8.83/1.58 % (536817)Refutation not found, incomplete strategy
% 8.83/1.58 % (536817)------------------------------
% 8.83/1.58 % (536817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.58 % (536817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.58 % (536817)CaDiCaL version: 2.1.3
% 8.83/1.58 % (536817)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.58 % (536817)Time elapsed: 0.0000 s
% 8.83/1.58 % (536817)Peak memory usage: 11 MB
% 8.83/1.58 % (536817)Instructions burned: 1 (million)
% 8.83/1.58 % (536817)------------------------------
% 8.83/1.58 % (536817)------------------------------
% 8.83/1.58 % (536818)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 8.83/1.58 % (536818)ott+1002_16_sil=128000:si=on:random_seed=1651897599:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/409Mi)
% 8.83/1.58 % (536820)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1578211745:s2a=on:i=381:rtra=on_2987 on theBenchmark for (2987ds/381Mi)
% 9.40/1.67 % (536720)Instruction limit reached!
% 9.40/1.67 % (536720)------------------------------
% 9.40/1.67 % (536720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/1.67 % (536720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/1.67 % (536720)CaDiCaL version: 2.1.3
% 9.40/1.67 % (536720)Termination reason: Instruction limit
% 9.40/1.67 % (536720)Termination phase: Saturation
% 9.40/1.67 % (536720)Time elapsed: 0.625 s
% 9.40/1.67 % (536720)Peak memory usage: 18 MB
% 9.40/1.67 % (536720)Instructions burned: 2473 (million)
% 9.40/1.67 % (536823)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3391545708:cond=on:i=324:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/324Mi)
% 9.40/1.67 % (536818)Instruction limit reached!
% 9.40/1.67 % (536818)------------------------------
% 9.40/1.67 % (536818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/1.67 % (536818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/1.67 % (536818)CaDiCaL version: 2.1.3
% 9.40/1.67 % (536818)Termination reason: Instruction limit
% 9.40/1.67 % (536818)Termination phase: Saturation
% 9.40/1.67 % (536818)Time elapsed: 0.079 s
% 9.40/1.67 % (536818)Peak memory usage: 13 MB
% 9.40/1.67 % (536818)Instructions burned: 415 (million)
% 9.40/1.67 % (536820)Instruction limit reached!
% 9.40/1.67 % (536820)------------------------------
% 9.40/1.67 % (536820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/1.67 % (536820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/1.67 % (536820)CaDiCaL version: 2.1.3
% 9.40/1.67 % (536820)Termination reason: Instruction limit
% 9.40/1.67 % (536820)Termination phase: Saturation
% 9.40/1.67 % (536820)Time elapsed: 0.087 s
% 9.40/1.67 % (536820)Peak memory usage: 12 MB
% 9.40/1.67 % (536820)Instructions burned: 382 (million)
% 9.40/1.67 % (536825)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2586492365:i=240:kws=inv_precedence:rtra=on_2986 on theBenchmark for (2986ds/240Mi)
% 9.40/1.67 % (536825)Refutation not found, incomplete strategy
% 9.40/1.67 % (536825)------------------------------
% 9.40/1.67 % (536825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/1.67 % (536825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/1.67 % (536825)CaDiCaL version: 2.1.3
% 9.40/1.67 % (536825)Termination reason: Refutation not found, incomplete strategy
% 9.40/1.67 % (536825)Time elapsed: 0.001 s
% 9.40/1.67 % (536825)Peak memory usage: 12 MB
% 9.40/1.67 % (536825)Instructions burned: 1 (million)
% 9.40/1.67 % (536825)------------------------------
% 9.40/1.67 % (536825)------------------------------
% 9.40/1.67 % (536826)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 9.40/1.67 % (536826)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1299033381:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/124Mi)
% 9.40/1.67 % (536828)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2888891504:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2986 on theBenchmark for (2986ds/223Mi)
% 9.40/1.67 % (536826)Instruction limit reached!
% 9.40/1.67 % (536826)------------------------------
% 9.40/1.67 % (536826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/1.67 % (536826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/1.67 % (536826)CaDiCaL version: 2.1.3
% 9.40/1.67 % (536826)Termination reason: Instruction limit
% 9.40/1.67 % (536826)Termination phase: Saturation
% 9.40/1.67 % (536826)Time elapsed: 0.025 s
% 9.40/1.67 % (536826)Peak memory usage: 12 MB
% 9.40/1.67 % (536826)Instructions burned: 129 (million)
% 9.40/1.67 % (536823)Instruction limit reached!
% 9.40/1.67 % (536823)------------------------------
% 9.40/1.67 % (536823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/1.67 % (536823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/1.67 % (536823)CaDiCaL version: 2.1.3
% 9.40/1.67 % (536823)Termination reason: Instruction limit
% 9.40/1.67 % (536823)Termination phase: Saturation
% 9.40/1.67 % (536823)Time elapsed: 0.082 s
% 9.40/1.67 % (536823)Peak memory usage: 13 MB
% 9.40/1.67 % (536823)Instructions burned: 324 (million)
% 9.40/1.67 % (536831)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3168355637:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2986 on theBenchmark for (2986ds/282Mi)
% 10.17/1.81 % (536828)Instruction limit reached!
% 10.17/1.81 % (536828)------------------------------
% 10.17/1.81 % (536828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.17/1.81 % (536828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/1.81 % (536828)CaDiCaL version: 2.1.3
% 10.17/1.81 % (536828)Termination reason: Instruction limit
% 10.17/1.81 % (536828)Termination phase: Saturation
% 10.17/1.81 % (536828)Time elapsed: 0.042 s
% 10.17/1.81 % (536828)Peak memory usage: 13 MB
% 10.17/1.81 % (536828)Instructions burned: 226 (million)
% 10.17/1.81 % (536833)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3366161347:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/464Mi)
% 10.17/1.81 % (536833)Refutation not found, incomplete strategy
% 10.17/1.81 % (536833)------------------------------
% 10.17/1.81 % (536833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.17/1.81 % (536833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/1.81 % (536833)CaDiCaL version: 2.1.3
% 10.17/1.81 % (536833)Termination reason: Refutation not found, incomplete strategy
% 10.17/1.81 % (536833)Time elapsed: 0.001 s
% 10.17/1.81 % (536833)Peak memory usage: 11 MB
% 10.17/1.81 % (536833)Instructions burned: 1 (million)
% 10.17/1.81 % (536834)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=3908841045:i=88:s2at=3:nm=2:rtra=on:rawr=on_2985 on theBenchmark for (2985ds/88Mi)
% 10.17/1.81 % (536833)------------------------------
% 10.17/1.81 % (536833)------------------------------
% 10.17/1.81 % (536810)Instruction limit reached!
% 10.17/1.81 % (536810)------------------------------
% 10.17/1.81 % (536810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.17/1.81 % (536810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/1.81 % (536810)CaDiCaL version: 2.1.3
% 10.17/1.81 % (536810)Termination reason: Instruction limit
% 10.17/1.81 % (536810)Termination phase: Saturation
% 10.17/1.81 % (536810)Time elapsed: 0.201 s
% 10.17/1.81 % (536810)Peak memory usage: 13 MB
% 10.17/1.81 % (536810)Instructions burned: 879 (million)
% 10.17/1.81 % (536837)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3926229652:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/280Mi)
% 10.17/1.81 % (536838)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 10.17/1.81 % (536838)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=603271257:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/4386Mi)
% 10.17/1.81 % (536834)Instruction limit reached!
% 10.17/1.81 % (536834)------------------------------
% 10.17/1.81 % (536834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.17/1.81 % (536834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/1.81 % (536834)CaDiCaL version: 2.1.3
% 10.17/1.81 % (536834)Termination reason: Instruction limit
% 10.17/1.81 % (536834)Termination phase: Saturation
% 10.17/1.81 % (536834)Time elapsed: 0.021 s
% 10.17/1.81 % (536834)Peak memory usage: 13 MB
% 10.17/1.81 % (536834)Instructions burned: 89 (million)
% 10.17/1.81 % (536841)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 10.17/1.81 % (536841)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 10.17/1.81 % (536841)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=537405818:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2985 on theBenchmark for (2985ds/483Mi)
% 10.17/1.81 % (536841)Refutation not found, incomplete strategy
% 10.17/1.81 % (536841)------------------------------
% 10.17/1.81 % (536841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.17/1.81 % (536841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/1.81 % (536841)CaDiCaL version: 2.1.3
% 10.17/1.81 % (536841)Termination reason: Refutation not found, incomplete strategy
% 11.22/1.91 % (536841)Time elapsed: 0.0000 s
% 11.22/1.91 % (536841)Peak memory usage: 12 MB
% 11.22/1.91 % (536841)------------------------------
% 11.22/1.91 % (536841)------------------------------
% 11.22/1.91 % (536843)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3584739497:i=73:rtra=on_2985 on theBenchmark for (2985ds/73Mi)
% 11.22/1.91 % (536843)Refutation not found, incomplete strategy
% 11.22/1.91 % (536843)------------------------------
% 11.22/1.91 % (536843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.91 % (536843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.91 % (536843)CaDiCaL version: 2.1.3
% 11.22/1.91 % (536843)Termination reason: Refutation not found, incomplete strategy
% 11.22/1.91 % (536843)Time elapsed: 0.001 s
% 11.22/1.91 % (536843)Peak memory usage: 12 MB
% 11.22/1.91 % (536843)Instructions burned: 2 (million)
% 11.22/1.91 % (536843)------------------------------
% 11.22/1.91 % (536843)------------------------------
% 11.22/1.91 % (536845)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4294376397:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/176Mi)
% 11.22/1.91 % (536831)Instruction limit reached!
% 11.22/1.91 % (536831)------------------------------
% 11.22/1.91 % (536831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.91 % (536831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.91 % (536831)CaDiCaL version: 2.1.3
% 11.22/1.91 % (536831)Termination reason: Instruction limit
% 11.22/1.91 % (536831)Termination phase: Saturation
% 11.22/1.91 % (536831)Time elapsed: 0.075 s
% 11.22/1.91 % (536831)Peak memory usage: 14 MB
% 11.22/1.91 % (536831)Instructions burned: 282 (million)
% 11.22/1.91 % (536847)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 11.22/1.91 % (536847)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3876257014:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2985 on theBenchmark for (2985ds/39Mi)
% 11.22/1.91 % (536847)Instruction limit reached!
% 11.22/1.91 % (536847)------------------------------
% 11.22/1.91 % (536847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.91 % (536847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.91 % (536847)CaDiCaL version: 2.1.3
% 11.22/1.91 % (536847)Termination reason: Instruction limit
% 11.22/1.91 % (536847)Termination phase: Saturation
% 11.22/1.91 % (536847)Time elapsed: 0.012 s
% 11.22/1.91 % (536847)Peak memory usage: 12 MB
% 11.22/1.91 % (536847)Instructions burned: 41 (million)
% 11.22/1.91 % (536837)Instruction limit reached!
% 11.22/1.91 % (536837)------------------------------
% 11.22/1.91 % (536837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.91 % (536837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.91 % (536837)CaDiCaL version: 2.1.3
% 11.22/1.91 % (536837)Termination reason: Instruction limit
% 11.22/1.91 % (536837)Termination phase: Saturation
% 11.22/1.91 % (536837)Time elapsed: 0.073 s
% 11.22/1.91 % (536837)Peak memory usage: 13 MB
% 11.22/1.91 % (536837)Instructions burned: 283 (million)
% 11.22/1.91 % (536849)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1417779271:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/708Mi)
% 11.22/1.91 % (536850)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
% 11.22/1.91 % (536850)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=1915836641:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 11.22/1.91 % (536845)Instruction limit reached!
% 11.22/1.91 % (536845)------------------------------
% 11.22/1.91 % (536845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.91 % (536845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.91 % (536845)CaDiCaL version: 2.1.3
% 11.22/1.91 % (536845)Termination reason: Instruction limit
% 11.22/1.91 % (536845)Termination phase: Saturation
% 11.22/1.91 % (536845)Time elapsed: 0.057 s
% 11.22/1.91 % (536845)Peak memory usage: 13 MB
% 11.22/1.91 % (536845)Instructions burned: 176 (million)
% 11.22/1.94 % (536853)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=474264058:i=823:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/823Mi)
% 11.22/1.94 % (536850)Instruction limit reached!
% 11.22/1.94 % (536850)------------------------------
% 11.22/1.94 % (536850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536850)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536850)Termination reason: Instruction limit
% 11.22/1.94 % (536850)Termination phase: Saturation
% 11.22/1.94 % (536850)Time elapsed: 0.052 s
% 11.22/1.94 % (536850)Peak memory usage: 13 MB
% 11.22/1.94 % (536850)Instructions burned: 258 (million)
% 11.22/1.94 % (536855)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 11.22/1.94 % (536855)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3501177355:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/16202Mi)
% 11.22/1.94 % (536855)Refutation not found, incomplete strategy
% 11.22/1.94 % (536855)------------------------------
% 11.22/1.94 % (536855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536855)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536855)Termination reason: Refutation not found, incomplete strategy
% 11.22/1.94 % (536855)Time elapsed: 0.0000 s
% 11.22/1.94 % (536855)Peak memory usage: 11 MB
% 11.22/1.94 % (536855)Instructions burned: 1 (million)
% 11.22/1.94 % (536855)------------------------------
% 11.22/1.94 % (536855)------------------------------
% 11.22/1.94 % (536857)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1821812573:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/300Mi)
% 11.22/1.94 % (536849)Instruction limit reached!
% 11.22/1.94 % (536849)------------------------------
% 11.22/1.94 % (536849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536849)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536849)Termination reason: Instruction limit
% 11.22/1.94 % (536849)Termination phase: Saturation
% 11.22/1.94 % (536849)Time elapsed: 0.139 s
% 11.22/1.94 % (536849)Peak memory usage: 13 MB
% 11.22/1.94 % (536849)Instructions burned: 710 (million)
% 11.22/1.94 % (536857)Instruction limit reached!
% 11.22/1.94 % (536857)------------------------------
% 11.22/1.94 % (536857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536857)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536857)Termination reason: Instruction limit
% 11.22/1.94 % (536857)Termination phase: Saturation
% 11.22/1.94 % (536857)Time elapsed: 0.068 s
% 11.22/1.94 % (536857)Peak memory usage: 12 MB
% 11.22/1.94 % (536857)Instructions burned: 304 (million)
% 11.22/1.94 % (536859)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 11.22/1.94 % (536859)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 11.22/1.94 % (536859)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3879769680:i=177:add=on:bd=preordered:rtra=on:rawr=on_2983 on theBenchmark for (2983ds/177Mi)
% 11.22/1.94 % (536860)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2191241329:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/715Mi)
% 11.22/1.94 % (536860)Refutation not found, incomplete strategy
% 11.22/1.94 % (536860)------------------------------
% 11.22/1.94 % (536860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536860)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536860)Termination reason: Refutation not found, incomplete strategy
% 11.22/1.94 % (536860)Time elapsed: 0.0000 s
% 11.22/1.94 % (536860)Peak memory usage: 11 MB
% 11.22/1.94 % (536860)Instructions burned: 1 (million)
% 11.22/1.94 % (536860)------------------------------
% 11.22/1.94 % (536860)------------------------------
% 11.22/1.94 % (536863)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 11.22/1.94 % (536863)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 11.22/1.94 % (536863)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=3643063294:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/230Mi)
% 11.22/1.94 % (536863)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 11.22/1.94 % (536859)Instruction limit reached!
% 11.22/1.94 % (536859)------------------------------
% 11.22/1.94 % (536859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536859)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536859)Termination reason: Instruction limit
% 11.22/1.94 % (536859)Termination phase: Saturation
% 11.22/1.94 % (536859)Time elapsed: 0.043 s
% 11.22/1.94 % (536859)Peak memory usage: 13 MB
% 11.22/1.94 % (536859)Instructions burned: 178 (million)
% 11.22/1.94 % (536865)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3118556745:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2983 on theBenchmark for (2983ds/606Mi)
% 11.22/1.94 % (536853)Instruction limit reached!
% 11.22/1.94 % (536853)------------------------------
% 11.22/1.94 % (536853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536853)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536853)Termination reason: Instruction limit
% 11.22/1.94 % (536853)Termination phase: Saturation
% 11.22/1.94 % (536853)Time elapsed: 0.180 s
% 11.22/1.94 % (536853)Peak memory usage: 14 MB
% 11.22/1.94 % (536853)Instructions burned: 824 (million)
% 11.22/1.94 % (536867)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 11.22/1.94 % (536793)Instruction limit reached!
% 11.22/1.94 % (536793)------------------------------
% 11.22/1.94 % (536793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536793)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536793)Termination reason: Instruction limit
% 11.22/1.94 % (536793)Termination phase: Saturation
% 11.22/1.94 % (536793)Time elapsed: 0.599 s
% 11.22/1.94 % (536793)Peak memory usage: 17 MB
% 11.22/1.94 % (536793)Instructions burned: 2241 (million)
% 11.22/1.94 % (536867)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1225043140:lrd=on:i=841:nm=0:rtra=on_2982 on theBenchmark for (2982ds/841Mi)
% 11.22/1.94 % (536863)Instruction limit reached!
% 11.22/1.94 % (536863)------------------------------
% 11.22/1.94 % (536863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536863)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536863)Termination reason: Instruction limit
% 11.22/1.94 % (536863)Termination phase: Saturation
% 11.22/1.94 % (536863)Time elapsed: 0.057 s
% 11.22/1.94 % (536863)Peak memory usage: 13 MB
% 11.22/1.94 % (536863)Instructions burned: 232 (million)
% 11.22/1.94 % (536869)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1501129465:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2982 on theBenchmark for (2982ds/445Mi)
% 11.22/1.94 % (536870)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2723848828:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 11.22/1.94 % (536870)Instruction limit reached!
% 11.22/1.94 % (536870)------------------------------
% 11.22/1.94 % (536870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536870)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536870)Termination reason: Instruction limit
% 11.22/1.94 % (536870)Termination phase: Saturation
% 11.22/1.94 % (536870)Time elapsed: 0.019 s
% 11.22/1.94 % (536870)Peak memory usage: 12 MB
% 11.22/1.94 % (536870)Instructions burned: 73 (million)
% 11.22/1.94 % (536873)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
% 11.22/1.94 % (536873)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 11.22/1.94 % (536873)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2594931426:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 11.22/1.94 % (536804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-536483-536804"...
% 11.22/1.94 % (536873)Instruction limit reached!
% 11.22/1.94 % (536873)------------------------------
% 11.22/1.94 % (536873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.94 % (536873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.94 % (536873)CaDiCaL version: 2.1.3
% 11.22/1.94 % (536873)Termination reason: Instruction limit
% 11.22/1.94 % (536873)Termination phase: Saturation
% 11.22/1.94 % (536873)Time elapsed: 0.023 s
% 11.22/1.94 % (536873)Peak memory usage: 12 MB
% 11.22/1.94 % (536873)Instructions burned: 106 (million)
% 11.22/1.94 % (536804)...printing done.
% 11.22/1.94 % (536804)Refutation found. Thanks to Tanya!
% 11.22/1.94 % SZS status Unsatisfiable for theBenchmark
% 11.22/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 11.22/1.95 % (536804)------------------------------
% 11.22/1.95 % (536804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.22/1.95 % (536804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/1.95 % (536804)CaDiCaL version: 2.1.3
% 11.22/1.95 % (536804)Termination reason: Refutation
% 11.22/1.95 % (536804)Time elapsed: 0.599 s
% 11.22/1.95 % (536804)Peak memory usage: 19 MB
% 11.22/1.95 % (536804)Instructions burned: 2234 (million)
% 11.22/1.95 % (536483)Success in time 1.803 s
% 11.22/1.95 % Vampire exiting
%------------------------------------------------------------------------------