%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA086^1 : 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 : n004.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 07:50:49 AM UTC 2026
% Result : Unsatisfiable 23.95s 3.80s
% Output : Refutation 25.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X0: $i,X3: $i,X1: $i,X2: $i] :
( ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f10,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
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 @ X0 @ X2 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X3 ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f11]) ).
thf(f18,plain,
! [X1: $i,X2: $i,X0: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f19,plain,
! [X3: $i,X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f8]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f22,plain,
( ( ( surj @ sK0 )
!= $true )
& ( ( inj @ sK0 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f25,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f28,f30]) ).
thf(f34,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f25]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f42,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( ( X2 = X1 )
= $true )
| ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f24,f40]) ).
thf(f50,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f24,f40]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f24,f48]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f24]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f59,definition,
( spl2_1
<=> ! [X2: $i] :
( ( b @ sK1 @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f60,plain,
( ! [X2: $i] :
( ( b @ sK1 @ X2 )
!= $true )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f62,definition,
( spl2_2
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f63,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f64,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f57,f62,f59]) ).
thf(f75,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f50]) ).
thf(f76,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f75]) ).
thf(f79,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f80,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f81,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f87,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f76,f79]) ).
thf(f88,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f79]) ).
thf(f89,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f90,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f92,definition,
( spl2_5
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f93,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f95,definition,
( spl2_6
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f96,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f95]) ).
thf(f98,definition,
( spl2_7
<=> ! [X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f99,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f100,plain,
( spl2_5
| spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f89,f98,f95,f92]) ).
thf(f104,definition,
( spl2_8
<=> ! [X1: $i] :
( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f105,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f107,definition,
( spl2_9
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f108,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f107]) ).
thf(f110,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_6 ),
inference(constrained_superposition,[],[f63,f96]) ).
thf(f112,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_2
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f115,definition,
( spl2_10
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f116,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f118,definition,
( spl2_11
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f119,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f120,plain,
( spl2_10
| spl2_11
| ~ spl2_2
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f112,f95,f62,f118,f115]) ).
thf(f160,definition,
( spl2_13
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f161,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_13 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f163,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_13 ),
inference(constrained_superposition,[],[f161,f49]) ).
thf(f164,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f165,plain,
( spl2_11
| spl2_13 ),
inference(avatar_split_clause,[],[f164,f160,f118]) ).
thf(f177,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f29,f80]) ).
thf(f178,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f182,definition,
( spl2_14
<=> ! [X2: $i] :
( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f183,plain,
( ! [X2: $i] :
( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f185,definition,
( spl2_15
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f186,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f185]) ).
thf(f187,plain,
( spl2_14
| spl2_15 ),
inference(avatar_split_clause,[],[f178,f185,f182]) ).
thf(f188,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f183,f79]) ).
thf(f190,plain,
( ( $true != $true )
| ~ spl2_11
| ~ spl2_14 ),
inference(constrained_superposition,[],[f183,f119]) ).
thf(f193,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f194,plain,
( $false
| ~ spl2_11
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f195,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f194]) ).
thf(f197,plain,
( spl2_6
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f193,f182,f95]) ).
thf(f219,definition,
( spl2_18
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f220,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_18 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f223,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ X2 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X2 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ),
inference(extensionality_resolution,[],[f55,f40]) ).
thf(f226,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f24]) ).
thf(f227,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f55,f50]) ).
thf(f229,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f55,f79]) ).
thf(f233,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( sK1 = X1 ) ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f234,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f235,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f237,definition,
( spl2_19
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( sK1 = X1 )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f238,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f240,definition,
( spl2_20
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f241,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f242,plain,
( spl2_19
| spl2_20 ),
inference(avatar_split_clause,[],[f233,f240,f237]) ).
thf(f244,definition,
( spl2_21
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f245,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f246,plain,
( spl2_6
| spl2_21 ),
inference(avatar_split_clause,[],[f235,f244,f95]) ).
thf(f248,definition,
( spl2_22
<=> ! [X0: $i] :
( ( r @ sK1 @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f249,plain,
( ! [X0: $i] :
( ( r @ sK1 @ X0 )
!= $true )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f248]) ).
thf(f251,definition,
( spl2_23
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ X2 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X2 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f252,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ X2 ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ X2 ) @ sK1 )
= $true ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f251]) ).
thf(f253,plain,
( spl2_22
| spl2_23 ),
inference(avatar_split_clause,[],[f223,f251,f248]) ).
thf(f254,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f249,f50]) ).
thf(f255,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f249,f24]) ).
thf(f256,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f254]) ).
thf(f257,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f255]) ).
thf(f258,plain,
( spl2_20
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f256,f248,f240]) ).
thf(f275,definition,
( spl2_24
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f276,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f275]) ).
thf(f278,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f26,f257]) ).
thf(f279,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f278]) ).
thf(f281,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( sK1 = X1 ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f279,f257]) ).
thf(f283,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f281]) ).
thf(f292,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f283,f49]) ).
thf(f297,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f302,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f297,f40]) ).
thf(f313,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f245,f51]) ).
thf(f314,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f245,f24]) ).
thf(f315,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f316,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f318,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f234,f24]) ).
thf(f325,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f330,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f81,f40]) ).
thf(f344,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X3 @ X0 )
= $true )
| ( $true != $true )
| ( X1 = X3 )
| ( X0 = X3 )
| ( $true
= ( b @ X3 @ X1 ) ) ),
inference(constrained_superposition,[],[f325,f24]) ).
thf(f353,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X3 @ X1 ) )
| ( X0 = X3 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X3 )
| ( ( b @ X0 @ X2 )
= $true )
| ( ( b @ X3 @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f344]) ).
thf(f376,definition,
( spl2_27
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f377,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f376]) ).
thf(f397,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f316,f24]) ).
thf(f401,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f397]) ).
thf(f406,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( b @ X3 @ X1 ) )
| ( X0 = X3 )
| ( X0 = X1 )
| ( $true != $true )
| ( sK1 = X2 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
= ( b @ X3 @ X4 ) )
| ( X1 = X3 )
| ( sK1 = X0 )
| ( ( b @ X0 @ X3 )
= $true )
| ( X3 = X4 ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f283,f353]) ).
thf(f420,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( X0 = X3 )
| ( sK1 = X2 )
| ( ( b @ X0 @ X3 )
= $true )
| ( $true
= ( b @ X3 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X1 = X3 )
| ( $true
= ( b @ X3 @ X4 ) )
| ( X0 = X1 )
| ( X3 = X4 )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f406]) ).
thf(f427,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X3 )
| ( X1 = X3 )
| ( sK1 = X0 )
| ( $true
= ( b @ X3 @ X1 ) )
| ( $true
= ( b @ X3 @ X4 ) )
| ( X0 = X1 )
| ( sK1 = X2 )
| ( X3 = X4 ) )
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f420,f283]) ).
thf(f440,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_21
| ~ spl2_22 ),
inference(constrained_superposition,[],[f302,f401]) ).
thf(f443,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( X1 = X3 )
| ( ( b @ X4 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ X4 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( sK0 @ sK1 )
= X4 )
| ( X0 = X4 )
| ( X1 = X2 ) )
| ~ spl2_21
| ~ spl2_22 ),
inference(constrained_superposition,[],[f427,f401]) ).
thf(f454,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( X1 = X3 )
| ( ( sK0 @ sK1 )
= X4 )
| ( ( b @ X4 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X4 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( sK1 = X0 )
| ( X0 = X4 )
| ( X1 = X2 )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X2 )
= $true ) )
| ~ spl2_21
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f443]) ).
thf(f455,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_21
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f440]) ).
thf(f461,definition,
( spl2_32
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( X0 = X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f462,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( X0 = X1 ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f461]) ).
thf(f464,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X4 @ X0 )
= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( X0 = X4 )
| ( ( b @ X4 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X4 )
| ( X1 = X3 ) )
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f454,f40]) ).
thf(f466,definition,
( spl2_33
<=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f467,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f466]) ).
thf(f468,plain,
( spl2_33
| spl2_11
| ~ spl2_21
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f455,f248,f244,f118,f466]) ).
thf(f479,definition,
( spl2_36
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( X1 = X3 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f480,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f479]) ).
thf(f481,plain,
( spl2_33
| spl2_36
| ~ spl2_21
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f464,f248,f244,f479,f466]) ).
thf(f484,definition,
( spl2_37
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f485,plain,
( ! [X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f493,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f105,f49]) ).
thf(f499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f105,f353]) ).
thf(f503,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( X1 = X2 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f499]) ).
thf(f504,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f493]) ).
thf(f511,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true ) )
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f503,f105]) ).
thf(f512,plain,
( spl2_11
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f504,f104,f118]) ).
thf(f516,plain,
( spl2_36
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f511,f104,f479]) ).
thf(f529,definition,
( spl2_39
<=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f530,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_39 ),
inference(avatar_component_clause,[],[f529]) ).
thf(f532,definition,
( spl2_40
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f533,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f532]) ).
thf(f618,definition,
( spl2_41
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f619,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f618]) ).
thf(f624,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f647,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f276,f60]) ).
thf(f648,plain,
( spl2_27
| ~ spl2_1
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f647,f275,f59,f376]) ).
thf(f671,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f238,f24]) ).
thf(f673,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f671]) ).
thf(f716,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f26,f533]) ).
thf(f717,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f716]) ).
thf(f720,definition,
( spl2_43
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f720]) ).
thf(f722,plain,
( spl2_43
| spl2_8
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f717,f532,f104,f720]) ).
thf(f724,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_41 ),
inference(avatar_component_clause,[],[f618]) ).
thf(f817,definition,
( spl2_47
<=> ! [X0: $i] : ( sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f818,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f817]) ).
thf(f896,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_11 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f1319,definition,
( spl2_55
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f1320,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f1319]) ).
thf(f1323,definition,
( spl2_56
<=> ! [X0: $i,X1: $i] :
( ( sK0 @ ( sK0 @ X1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f1324,plain,
( ! [X0: $i,X1: $i] :
( ( sK0 @ ( sK0 @ X1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f1323]) ).
thf(f1361,plain,
( ( sK1 != sK1 )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f40,f818]) ).
thf(f1424,plain,
( $false
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f1361]) ).
thf(f1425,plain,
~ spl2_47,
inference(avatar_contradiction_clause,[],[f1424]) ).
thf(f1523,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
!= ( sK0 @ X2 ) )
| ( ( sK0 @ X1 )
= X2 ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f48,f1324]) ).
thf(f1639,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X2 )
= ( sK0 @ X3 ) )
| ( ( sK0 @ ( sK0 @ X1 ) )
!= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f1523,f1324]) ).
thf(f1645,plain,
( ! [X2: $i,X3: $i] :
( ( sK0 @ X2 )
= ( sK0 @ X3 ) )
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f1639,f1324]) ).
thf(f1652,definition,
( spl2_58
<=> ! [X2: $i,X3: $i] :
( ( sK0 @ X2 )
= ( sK0 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f1653,plain,
( ! [X2: $i,X3: $i] :
( ( sK0 @ X2 )
= ( sK0 @ X3 ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f1652]) ).
thf(f1655,plain,
( spl2_58
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f1645,f1323,f1652]) ).
thf(f1657,definition,
( spl2_59
<=> ! [X2: $i,X3: $i] :
( ( sK1 = X2 )
| ( ( sK0 @ X3 )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f1658,plain,
( ! [X2: $i,X3: $i] :
( ( ( sK0 @ X3 )
= X2 )
| ( sK1 = X2 ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f1657]) ).
thf(f1754,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( sK0 @ X1 )
!= ( sK0 @ X0 ) ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f48,f1653]) ).
thf(f1822,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f1754,f1653]) ).
thf(f1865,plain,
( ! [X0: $i] : ( sK1 != X0 )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f40,f1822]) ).
thf(f2078,plain,
( $false
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f1865,f1822]) ).
thf(f2079,plain,
~ spl2_58,
inference(avatar_contradiction_clause,[],[f2078]) ).
thf(f2082,plain,
( $false
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f93,f60]) ).
thf(f2083,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f2082]) ).
thf(f2087,definition,
( spl2_64
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f2088,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f2087]) ).
thf(f2176,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_21 ),
inference(constrained_superposition,[],[f108,f401]) ).
thf(f2181,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_9
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f2176]) ).
thf(f2182,plain,
( spl2_32
| ~ spl2_9
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f2181,f244,f107,f461]) ).
thf(f2298,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= X0 )
| ( sK1 = X0 )
| ( X1 = X2 ) )
| ~ spl2_59 ),
inference(constrained_superposition,[],[f48,f1658]) ).
thf(f2400,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( sK1 = X0 ) )
| ~ spl2_59 ),
inference(forward_subsumption_resolution,[],[f2298,f1658]) ).
thf(f2415,definition,
( spl2_68
<=> ! [X2: $i,X1: $i] : ( X1 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f2416,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f2415]) ).
thf(f2422,plain,
( spl2_47
| spl2_68
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f2400,f1657,f2415,f817]) ).
thf(f2443,definition,
( spl2_70
<=> ! [X1: $i,X3: $i] :
( ( X1 = X3 )
| ( sK1 = X3 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f2444,plain,
( ! [X3: $i,X1: $i] :
( ( sK1 = X3 )
| ( sK1 = X1 )
| ( X1 = X3 ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f2443]) ).
thf(f2469,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( sK1 != sK1 )
| ( sK1 = X1 ) )
| ~ spl2_70 ),
inference(constrained_superposition,[],[f40,f2444]) ).
thf(f2527,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f2469]) ).
thf(f2550,plain,
( spl2_59
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f2527,f2443,f1657]) ).
thf(f2572,plain,
( ! [X0: $i] : ( sK1 != X0 )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f40,f2416]) ).
thf(f2706,plain,
( $false
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f2572,f2416]) ).
thf(f2707,plain,
~ spl2_68,
inference(avatar_contradiction_clause,[],[f2706]) ).
thf(f2723,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( X0 = X1 )
| ( sK1 = X1 ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f377,f377]) ).
thf(f2796,plain,
( spl2_70
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f2723,f376,f2443]) ).
thf(f3043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f26,f485]) ).
thf(f3044,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3043]) ).
thf(f3045,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_5
| ~ spl2_37 ),
inference(constrained_superposition,[],[f3044,f93]) ).
thf(f3046,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f3044,f485]) ).
thf(f3048,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3046]) ).
thf(f3050,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_5
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3045]) ).
thf(f3065,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f249,f24]) ).
thf(f3067,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f3065]) ).
thf(f3139,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
= $true )
| ( X0 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X2 )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(constrained_superposition,[],[f3050,f467]) ).
thf(f3158,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( sK1 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X2 )
= $true )
| ( sK1 = X0 )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3139]) ).
thf(f3171,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X2 )
| ( ( sK0 @ sK1 )
= X2 )
| ( sK1 = X0 )
| ( sK1 = X2 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f3158,f3048]) ).
thf(f3176,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X2 )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( sK1 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( X0 = X1 )
| ( ( b @ X0 @ X2 )
= $true ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(constrained_superposition,[],[f3171,f467]) ).
thf(f3177,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( sK1 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X0 @ X2 )
= $true ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(duplicate_literal_removal,[],[f3176]) ).
thf(f3178,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X2 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( X0 = X2 )
| ( ( b @ X0 @ X2 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3177]) ).
thf(f3181,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( X0 = X2 )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f3178,f3171]) ).
thf(f3266,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
!= ( sK0 @ sK1 ) )
| ( sK1 = X1 )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( sK1 = X0 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(equality_factoring,[],[f3181]) ).
thf(f3267,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ sK1 ) )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(duplicate_literal_removal,[],[f3266]) ).
thf(f3268,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3267]) ).
thf(f3368,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X1 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(constrained_superposition,[],[f80,f3268]) ).
thf(f3371,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X3 )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( ( sK0 @ sK1 )
= X3 )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(constrained_superposition,[],[f90,f3268]) ).
thf(f3384,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= X3 )
| ( sK1 = X3 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(duplicate_literal_removal,[],[f3371]) ).
thf(f3404,definition,
( spl2_84
<=> ! [X0: $i,X3: $i] :
( ( ( sK0 @ sK1 )
= X3 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( sK1 = X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f3405,plain,
( ! [X3: $i,X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( ( sK0 @ sK1 )
= X3 )
| ( sK1 = X3 ) )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f3404]) ).
thf(f3428,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X2 ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f48,f3405]) ).
thf(f3609,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ X1 ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ ( sK0 @ X0 ) )
!= X2 )
| ( sK1 = X2 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ X3 )
= X1 ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f3428,f3405]) ).
thf(f3614,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( sK1
= ( sK0 @ X1 ) )
| ( ( sK0 @ X3 )
= X1 )
| ( sK1 = X2 ) )
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f3609,f3405]) ).
thf(f3618,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( sK1 = X2 )
| ( ( sK0 @ X3 )
= X1 ) )
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f3614,f40]) ).
thf(f3621,definition,
( spl2_86
<=> ! [X1: $i,X3: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ X3 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f3622,plain,
( ! [X3: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ X3 )
= X1 ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f3621]) ).
thf(f3623,plain,
( spl2_86
| spl2_27
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f3618,f3404,f376,f3621]) ).
thf(f3627,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_5
| spl2_18
| ~ spl2_33
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f3368,f220]) ).
thf(f3630,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X3 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X3 ) )
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f3384,f40]) ).
thf(f3634,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X1 ) )
| ~ spl2_5
| spl2_18
| ~ spl2_33
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f3627,f40]) ).
thf(f3637,plain,
( spl2_41
| spl2_14
| spl2_14
| spl2_84
| ~ spl2_5
| ~ spl2_33
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f3630,f484,f466,f92,f3404,f182,f182,f618]) ).
thf(f3642,plain,
( spl2_84
| spl2_41
| ~ spl2_5
| spl2_18
| ~ spl2_33
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f3634,f484,f466,f219,f92,f618,f3404]) ).
thf(f3659,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_41 ),
inference(constrained_superposition,[],[f26,f619]) ).
thf(f3663,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_41 ),
inference(duplicate_literal_removal,[],[f3659]) ).
thf(f3664,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f3663]) ).
thf(f3676,plain,
( spl2_8
| spl2_8
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f3664,f618,f104,f104]) ).
thf(f3792,definition,
( spl2_89
<=> ! [X2: $i,X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X2 )
| ( X0 = X2 )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).
thf(f3793,plain,
( ! [X2: $i,X0: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( sK1 = X2 )
| ( sK1 = X0 )
| ( X0 = X2 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_89 ),
inference(avatar_component_clause,[],[f3792]) ).
thf(f3865,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X3 )
| ( ( sK0 @ sK1 )
= X3 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X3 ) )
| ~ spl2_89 ),
inference(constrained_superposition,[],[f90,f3793]) ).
thf(f3877,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X3 )
| ( sK1 = X3 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= X3 ) )
| ~ spl2_89 ),
inference(duplicate_literal_removal,[],[f3865]) ).
thf(f3886,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( ( sK0 @ sK1 )
= X3 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( sK1 = X3 )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_41
| ~ spl2_89 ),
inference(forward_subsumption_resolution,[],[f3877,f724]) ).
thf(f3894,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= X3 )
| ( ( sK0 @ sK1 )
= X3 )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( sK1 = X3 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_41
| ~ spl2_89 ),
inference(forward_subsumption_resolution,[],[f3886,f40]) ).
thf(f3898,plain,
( spl2_14
| spl2_84
| spl2_14
| spl2_41
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f3894,f3792,f618,f182,f3404,f182]) ).
thf(f4024,plain,
( spl2_37
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f3067,f248,f484]) ).
thf(f4027,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_39 ),
inference(constrained_superposition,[],[f530,f50]) ).
thf(f4030,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_39 ),
inference(trivial_inequality_removal,[],[f4027]) ).
thf(f4032,plain,
( spl2_5
| spl2_39 ),
inference(avatar_split_clause,[],[f4030,f529,f92]) ).
thf(f4033,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f99,f79]) ).
thf(f4034,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f99,f51]) ).
thf(f4036,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f4034]) ).
thf(f4037,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f4033]) ).
thf(f4187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f26,f276]) ).
thf(f4188,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f4187]) ).
thf(f4202,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f4037,f50]) ).
thf(f4204,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f4202]) ).
thf(f4219,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_5 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f4251,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f4036,f50]) ).
thf(f4253,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f4251]) ).
thf(f4317,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f673,f24]) ).
thf(f4318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( sK1
= ( sK0 @ X1 ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f673,f51]) ).
thf(f4325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X1 )
| ( X0 = X1 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4317]) ).
thf(f4326,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1
= ( sK0 @ X1 ) )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4318]) ).
thf(f4328,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f4326,f40]) ).
thf(f4330,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f4328,f40]) ).
thf(f4352,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f26,f4204]) ).
thf(f4353,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f4352]) ).
thf(f4365,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| spl2_5
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4219,f4325]) ).
thf(f4369,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_5
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4365]) ).
thf(f4372,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| spl2_5
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f4369,f40]) ).
thf(f4373,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_5
| ~ spl2_19 ),
inference(constrained_superposition,[],[f26,f4372]) ).
thf(f4381,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_5
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4373]) ).
thf(f4383,definition,
( spl2_92
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).
thf(f4384,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f4383]) ).
thf(f4385,plain,
( spl2_92
| spl2_8
| spl2_5
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f4381,f237,f92,f104,f4383]) ).
thf(f4391,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f4188,f276]) ).
thf(f4394,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f4391]) ).
thf(f4400,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(constrained_superposition,[],[f4394,f533]) ).
thf(f4410,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f4400]) ).
thf(f4415,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( sK1 = X1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f4410,f4394]) ).
thf(f4416,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f4415,f40]) ).
thf(f4496,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_19
| ~ spl2_43 ),
inference(constrained_superposition,[],[f721,f4330]) ).
thf(f4508,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_19
| ~ spl2_43 ),
inference(duplicate_literal_removal,[],[f4496]) ).
thf(f4509,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
!= $true ) )
| ~ spl2_19
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f4508]) ).
thf(f4512,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
!= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_9
| ~ spl2_19
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f4509,f108]) ).
thf(f4514,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_19
| ~ spl2_43 ),
inference(constrained_superposition,[],[f4512,f4253]) ).
thf(f4520,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_19
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f4514]) ).
thf(f4534,definition,
( spl2_94
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ X0 )
= X3 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ X3 ) )
= $true )
| ( sK1 = X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).
thf(f4535,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ X3 ) )
= $true )
| ( ( sK0 @ X0 )
= X3 )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( sK1 = X3 ) )
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f4534]) ).
thf(f4876,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f90,f330]) ).
thf(f4879,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) ) ),
inference(constrained_superposition,[],[f76,f330]) ).
thf(f4880,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f330]) ).
thf(f4886,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4880]) ).
thf(f4889,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f4876]) ).
thf(f4890,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4879]) ).
thf(f4902,definition,
( spl2_103
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
thf(f4903,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f4902]) ).
thf(f4905,definition,
( spl2_104
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f4906,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f4905]) ).
thf(f4910,definition,
( spl2_105
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f4911,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f4910]) ).
thf(f4913,definition,
( spl2_106
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f4914,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f4913]) ).
thf(f4916,definition,
( spl2_107
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
thf(f4917,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f4916]) ).
thf(f4918,plain,
( spl2_105
| spl2_106
| spl2_107 ),
inference(avatar_split_clause,[],[f4889,f4916,f4913,f4910]) ).
thf(f4920,definition,
( spl2_108
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_108])],[avatar_definition]) ).
thf(f4921,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f4920]) ).
thf(f4925,definition,
( spl2_109
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f4926,plain,
( ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f4925]) ).
thf(f4928,definition,
( spl2_110
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f4929,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f4928]) ).
thf(f4932,definition,
( spl2_111
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f4933,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f4932]) ).
thf(f4943,definition,
( spl2_114
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f4944,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f4943]) ).
thf(f4980,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_110 ),
inference(constrained_superposition,[],[f4353,f4929]) ).
thf(f5044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_7
| ~ spl2_110 ),
inference(duplicate_literal_removal,[],[f4980]) ).
thf(f5063,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_5
| ~ spl2_7
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f5044,f4219]) ).
thf(f5087,plain,
( spl2_8
| spl2_8
| spl2_5
| ~ spl2_7
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f5063,f4928,f98,f92,f104,f104]) ).
thf(f5117,definition,
( spl2_120
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f5118,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f5117]) ).
thf(f5120,definition,
( spl2_121
<=> ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f5121,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f5120]) ).
thf(f5155,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_40
| ~ spl2_121 ),
inference(constrained_superposition,[],[f5121,f533]) ).
thf(f5167,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_40
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f5155]) ).
thf(f5175,plain,
( $false
| ~ spl2_40
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f5167,f5121]) ).
thf(f5176,plain,
( ~ spl2_40
| ~ spl2_121 ),
inference(avatar_contradiction_clause,[],[f5175]) ).
thf(f5216,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_19
| ~ spl2_43
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5118,f4520]) ).
thf(f5218,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5118,f49]) ).
thf(f5229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_19
| ~ spl2_43
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5216]) ).
thf(f5231,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5218]) ).
thf(f5239,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_9
| ~ spl2_13
| ~ spl2_19
| ~ spl2_43
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5229,f624]) ).
thf(f5240,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_13
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5231,f624]) ).
thf(f5247,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_120 ),
inference(constrained_superposition,[],[f90,f5240]) ).
thf(f5251,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_13
| ~ spl2_120 ),
inference(constrained_superposition,[],[f29,f5240]) ).
thf(f5255,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_13
| ~ spl2_120 ),
inference(constrained_superposition,[],[f325,f5240]) ).
thf(f5259,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5247]) ).
thf(f5264,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_13
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5251]) ).
thf(f5265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_13
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5255]) ).
thf(f5270,definition,
( spl2_122
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f5271,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f5270]) ).
thf(f5272,plain,
( spl2_22
| spl2_122
| ~ spl2_13
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5264,f5117,f160,f5270,f248]) ).
thf(f5274,definition,
( spl2_123
<=> ! [X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f5275,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f5274]) ).
thf(f5276,plain,
( spl2_123
| spl2_114
| ~ spl2_13
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5265,f5117,f160,f4943,f5274]) ).
thf(f5277,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f5271,f330]) ).
thf(f5286,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5277]) ).
thf(f5293,plain,
( spl2_103
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f5286,f5270,f4902]) ).
thf(f5309,plain,
( spl2_107
| spl2_106
| ~ spl2_13
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5259,f5117,f160,f4913,f4916]) ).
thf(f5312,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_105
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5118,f4911]) ).
thf(f5315,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_94
| ~ spl2_105 ),
inference(constrained_superposition,[],[f4535,f4911]) ).
thf(f5316,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_105 ),
inference(constrained_superposition,[],[f4416,f4911]) ).
thf(f5325,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f5316]) ).
thf(f5333,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_105
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5312]) ).
thf(f5336,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_94
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f5315]) ).
thf(f5338,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_105 ),
inference(forward_subsumption_resolution,[],[f5325,f40]) ).
thf(f5342,definition,
( spl2_124
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f5343,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f5342]) ).
thf(f5346,plain,
( spl2_124
| ~ spl2_105
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5333,f5117,f4910,f5342]) ).
thf(f5349,definition,
( spl2_125
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f5350,plain,
( ! [X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f5349]) ).
thf(f5352,definition,
( spl2_126
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f5353,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f5352]) ).
thf(f5354,plain,
( spl2_125
| spl2_126
| ~ spl2_94
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f5336,f4910,f4534,f5352,f5349]) ).
thf(f5357,definition,
( spl2_127
<=> ! [X0: $i] :
( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f5358,plain,
( ! [X0: $i] :
( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f5357]) ).
thf(f5359,plain,
( spl2_127
| spl2_110
| ~ spl2_24
| ~ spl2_40
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f5338,f4910,f532,f275,f4928,f5357]) ).
thf(f5375,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f4914,f24]) ).
thf(f5380,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f5375]) ).
thf(f5403,plain,
( spl2_125
| ~ spl2_7
| ~ spl2_9
| ~ spl2_13
| ~ spl2_19
| ~ spl2_43
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5239,f5117,f720,f237,f160,f107,f98,f5349]) ).
thf(f5411,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_114
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5118,f4944]) ).
thf(f5415,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_114 ),
inference(constrained_superposition,[],[f4416,f4944]) ).
thf(f5434,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f5415]) ).
thf(f5436,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_114
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5411]) ).
thf(f5443,definition,
( spl2_129
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f5444,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f5443]) ).
thf(f5449,plain,
( spl2_109
| spl2_110
| ~ spl2_24
| ~ spl2_40
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f5434,f4943,f532,f275,f4928,f4925]) ).
thf(f5451,plain,
( spl2_129
| ~ spl2_114
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5436,f5117,f4943,f5443]) ).
thf(f5453,definition,
( spl2_130
<=> ! [X0: $i] :
( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f5454,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f5453]) ).
thf(f5463,plain,
( ! [X0: $i,X1: $i] :
( ( sK0 @ ( sK0 @ X1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f5454,f5454]) ).
thf(f5641,definition,
( spl2_131
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f5642,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f5641]) ).
thf(f5644,definition,
( spl2_132
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f5645,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_132 ),
inference(avatar_component_clause,[],[f5644]) ).
thf(f5658,definition,
( spl2_135
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f5659,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_135 ),
inference(avatar_component_clause,[],[f5658]) ).
thf(f5691,definition,
( spl2_143
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f5692,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f5691]) ).
thf(f5699,definition,
( spl2_145
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f5700,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f5699]) ).
thf(f5702,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_107 ),
inference(avatar_component_clause,[],[f4916]) ).
thf(f5706,definition,
( spl2_146
<=> ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f5707,plain,
( ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f5706]) ).
thf(f5711,definition,
( spl2_147
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f5712,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f5711]) ).
thf(f5715,plain,
( spl2_56
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f5463,f5453,f1323]) ).
thf(f5725,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_7
| spl2_107 ),
inference(constrained_superposition,[],[f5702,f4204]) ).
thf(f5729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_21
| spl2_107 ),
inference(constrained_superposition,[],[f5702,f401]) ).
thf(f5734,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_21
| spl2_107 ),
inference(trivial_inequality_removal,[],[f5729]) ).
thf(f5736,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_7
| spl2_107 ),
inference(trivial_inequality_removal,[],[f5725]) ).
thf(f5743,definition,
( spl2_150
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f5744,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f5743]) ).
thf(f5745,plain,
( spl2_110
| spl2_150
| ~ spl2_21
| spl2_107 ),
inference(avatar_split_clause,[],[f5734,f4916,f244,f5743,f4928]) ).
thf(f5747,plain,
( spl2_108
| ~ spl2_7
| spl2_107 ),
inference(avatar_split_clause,[],[f5736,f4916,f98,f4920]) ).
thf(f5748,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_32
| ~ spl2_108 ),
inference(constrained_superposition,[],[f462,f4921]) ).
thf(f5750,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_32
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f5748]) ).
thf(f5752,plain,
( spl2_150
| spl2_110
| ~ spl2_32
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f5750,f4920,f461,f4928,f5743]) ).
thf(f5754,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_13
| ~ spl2_129 ),
inference(constrained_superposition,[],[f5444,f624]) ).
thf(f5756,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_129 ),
inference(constrained_superposition,[],[f5444,f49]) ).
thf(f5764,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_13
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f5754]) ).
thf(f5768,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f5756]) ).
thf(f5772,plain,
( $false
| ~ spl2_13
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f5764,f40]) ).
thf(f5773,plain,
( ~ spl2_13
| ~ spl2_129 ),
inference(avatar_contradiction_clause,[],[f5772]) ).
thf(f5775,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_11
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f5768,f896]) ).
thf(f5776,plain,
( $false
| spl2_11
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f5775,f40]) ).
thf(f5777,plain,
( spl2_11
| ~ spl2_129 ),
inference(avatar_contradiction_clause,[],[f5776]) ).
thf(f5799,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_24
| ~ spl2_32 ),
inference(constrained_superposition,[],[f462,f276]) ).
thf(f5800,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f26,f276]) ).
thf(f5801,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f5800]) ).
thf(f5802,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_24
| ~ spl2_32 ),
inference(duplicate_literal_removal,[],[f5799]) ).
thf(f5803,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( X0 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_24
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f5802]) ).
thf(f5806,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f5380,f24]) ).
thf(f5807,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f5806]) ).
thf(f5810,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f5801,f276]) ).
thf(f5834,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f5810]) ).
thf(f5836,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f5834,f49]) ).
thf(f5841,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( sK1 = X1 ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(constrained_superposition,[],[f5834,f533]) ).
thf(f5856,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f5841]) ).
thf(f5858,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f5836]) ).
thf(f5866,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f5856,f5834]) ).
thf(f5868,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f5858,f40]) ).
thf(f5871,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_24
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f5866,f40]) ).
thf(f5895,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_106
| ~ spl2_147 ),
inference(constrained_superposition,[],[f5712,f5807]) ).
thf(f5902,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_24
| ~ spl2_106 ),
inference(constrained_superposition,[],[f5868,f5807]) ).
thf(f5903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_2
| ~ spl2_106 ),
inference(constrained_superposition,[],[f63,f5807]) ).
thf(f5914,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_24
| ~ spl2_106 ),
inference(duplicate_literal_removal,[],[f5902]) ).
thf(f5915,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f5914]) ).
thf(f5917,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_2
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f5903]) ).
thf(f5922,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_106
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f5895]) ).
thf(f5930,definition,
( spl2_151
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f5931,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f5930]) ).
thf(f5933,definition,
( spl2_152
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f5934,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f5933]) ).
thf(f5935,plain,
( spl2_151
| spl2_110
| spl2_152
| ~ spl2_24
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f5915,f4913,f275,f5933,f4928,f5930]) ).
thf(f5936,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_2
| ~ spl2_9
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f5917,f108]) ).
thf(f5939,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_106
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f5922,f108]) ).
thf(f5946,definition,
( spl2_154
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f5947,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f5946]) ).
thf(f5948,plain,
( spl2_152
| spl2_154
| ~ spl2_2
| ~ spl2_9
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f5936,f4913,f107,f62,f5946,f5933]) ).
thf(f5950,plain,
( spl2_154
| ~ spl2_9
| ~ spl2_106
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f5939,f5711,f4913,f107,f5946]) ).
thf(f5953,definition,
( spl2_155
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_155])],[avatar_definition]) ).
thf(f5954,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_155 ),
inference(avatar_component_clause,[],[f5953]) ).
thf(f5979,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f4926,f4926]) ).
thf(f6173,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_110 ),
inference(avatar_component_clause,[],[f4928]) ).
thf(f6193,plain,
( spl2_89
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f5979,f4925,f3792]) ).
thf(f6254,definition,
( spl2_164
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f6255,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f6254]) ).
thf(f6257,definition,
( spl2_165
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_165])],[avatar_definition]) ).
thf(f6258,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_165 ),
inference(avatar_component_clause,[],[f6257]) ).
thf(f6261,definition,
( spl2_166
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f6262,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f6261]) ).
thf(f6264,definition,
( spl2_167
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f6265,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f6264]) ).
thf(f6268,definition,
( spl2_168
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f6269,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f6268]) ).
thf(f6271,definition,
( spl2_169
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f6272,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f6271]) ).
thf(f6275,definition,
( spl2_170
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f6276,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f6275]) ).
thf(f6278,definition,
( spl2_171
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f6279,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f6278]) ).
thf(f6282,definition,
( spl2_172
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f6283,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f6282]) ).
thf(f6295,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f90,f5358]) ).
thf(f6373,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_127 ),
inference(duplicate_literal_removal,[],[f6295]) ).
thf(f6403,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| spl2_41
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f6373,f724]) ).
thf(f6426,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f6403,f5357,f618,f182,f182]) ).
thf(f6469,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_132 ),
inference(constrained_superposition,[],[f5645,f50]) ).
thf(f6471,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_132 ),
inference(trivial_inequality_removal,[],[f6469]) ).
thf(f6496,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_131
| ~ spl2_147 ),
inference(constrained_superposition,[],[f5712,f5642]) ).
thf(f6507,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f26,f5642]) ).
thf(f6512,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_131 ),
inference(duplicate_literal_removal,[],[f6507]) ).
thf(f6513,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f6512]) ).
thf(f6524,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_131
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f6496]) ).
thf(f6526,plain,
( spl2_121
| spl2_121
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f6513,f5641,f5120,f5120]) ).
thf(f6533,plain,
( $false
| ~ spl2_108
| ~ spl2_131
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f6524,f4921]) ).
thf(f6534,plain,
( ~ spl2_108
| ~ spl2_131
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f6533]) ).
thf(f6543,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f5707,f330]) ).
thf(f6544,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f5707,f80]) ).
thf(f6548,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f5707,f24]) ).
thf(f6549,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f6543]) ).
thf(f6550,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f6548]) ).
thf(f6554,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f6544]) ).
thf(f6555,plain,
( spl2_105
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f6549,f5706,f4910]) ).
thf(f6556,plain,
( spl2_114
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f6550,f5706,f4943]) ).
thf(f6557,plain,
( spl2_111
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f6554,f5706,f4932]) ).
thf(f6599,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_135 ),
inference(constrained_superposition,[],[f5659,f79]) ).
thf(f6600,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_135 ),
inference(constrained_superposition,[],[f5659,f51]) ).
thf(f6601,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_135 ),
inference(constrained_superposition,[],[f5659,f24]) ).
thf(f6602,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_135 ),
inference(trivial_inequality_removal,[],[f6600]) ).
thf(f6603,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_135 ),
inference(trivial_inequality_removal,[],[f6601]) ).
thf(f6604,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_135 ),
inference(trivial_inequality_removal,[],[f6599]) ).
thf(f6605,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f6602,f40]) ).
thf(f6606,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_110
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f6603,f6173]) ).
thf(f6607,plain,
( $false
| spl2_107
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f6604,f5702]) ).
thf(f6608,plain,
( spl2_107
| spl2_135 ),
inference(avatar_contradiction_clause,[],[f6607]) ).
thf(f6609,plain,
( $false
| spl2_107
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f6605,f5702]) ).
thf(f6610,plain,
( spl2_107
| spl2_135 ),
inference(avatar_contradiction_clause,[],[f6609]) ).
thf(f6611,plain,
( $false
| spl2_107
| spl2_110
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f6606,f5702]) ).
thf(f6612,plain,
( spl2_107
| spl2_110
| spl2_135 ),
inference(avatar_contradiction_clause,[],[f6611]) ).
thf(f6622,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f29,f5700]) ).
thf(f6625,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_21
| ~ spl2_145 ),
inference(constrained_superposition,[],[f316,f5700]) ).
thf(f6637,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_145 ),
inference(duplicate_literal_removal,[],[f6622]) ).
thf(f6638,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f6637]) ).
thf(f6646,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_145 ),
inference(duplicate_literal_removal,[],[f6625]) ).
thf(f6647,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_21
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f6646]) ).
thf(f6651,plain,
( spl2_146
| spl2_146
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f6638,f5699,f5706,f5706]) ).
thf(f6657,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_21
| spl2_107
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f6647,f5702]) ).
thf(f6660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_21
| spl2_107
| spl2_110
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f6657,f6173]) ).
thf(f6662,plain,
( spl2_111
| ~ spl2_21
| spl2_107
| spl2_110
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f6660,f5699,f4928,f4916,f244,f4932]) ).
thf(f6669,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f90,f6258]) ).
thf(f6688,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f6669]) ).
thf(f6696,definition,
( spl2_180
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f6697,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f6696]) ).
thf(f6708,definition,
( spl2_183
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f6709,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f6708]) ).
thf(f6711,definition,
( spl2_184
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f6712,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f6711]) ).
thf(f6713,plain,
( spl2_183
| spl2_184
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f6688,f6257,f6711,f6708]) ).
thf(f6716,definition,
( spl2_185
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f6717,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f6716]) ).
thf(f6743,definition,
( spl2_186
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f6744,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f6743]) ).
thf(f6798,definition,
( spl2_188
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f6799,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_188 ),
inference(avatar_component_clause,[],[f6798]) ).
thf(f6803,definition,
( spl2_189
<=> ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f6804,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f6803]) ).
thf(f6806,definition,
( spl2_190
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f6807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_190 ),
inference(avatar_component_clause,[],[f6806]) ).
thf(f6813,definition,
( spl2_191
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f6814,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f6813]) ).
thf(f6838,definition,
( spl2_193
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f6839,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f6838]) ).
thf(f6841,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_188 ),
inference(constrained_superposition,[],[f6799,f50]) ).
thf(f6843,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_188 ),
inference(trivial_inequality_removal,[],[f6841]) ).
thf(f6845,plain,
( spl2_191
| spl2_188 ),
inference(avatar_split_clause,[],[f6843,f6798,f6813]) ).
thf(f6854,definition,
( spl2_194
<=> ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f6855,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f6854]) ).
thf(f6884,definition,
( spl2_195
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f6885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f6884]) ).
thf(f6912,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_171 ),
inference(constrained_superposition,[],[f4353,f6279]) ).
thf(f6915,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_171 ),
inference(constrained_superposition,[],[f63,f6279]) ).
thf(f6919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f6912]) ).
thf(f6926,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f6915]) ).
thf(f6930,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_183 ),
inference(avatar_component_clause,[],[f6708]) ).
thf(f6932,definition,
( spl2_196
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).
thf(f6933,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f6932]) ).
thf(f6934,plain,
( ~ spl2_183
| spl2_191
| spl2_196
| ~ spl2_7
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f6919,f6278,f98,f6932,f6813,f6708]) ).
thf(f6936,definition,
( spl2_197
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f6937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f6936]) ).
thf(f6942,definition,
( spl2_198
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f6943,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f6942]) ).
thf(f6945,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_168
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f6926,f6269]) ).
thf(f6951,plain,
( $false
| ~ spl2_2
| ~ spl2_168
| ~ spl2_171
| ~ spl2_189 ),
inference(forward_subsumption_resolution,[],[f6945,f6804]) ).
thf(f6952,plain,
( ~ spl2_2
| ~ spl2_168
| ~ spl2_171
| ~ spl2_189 ),
inference(avatar_contradiction_clause,[],[f6951]) ).
thf(f6963,definition,
( spl2_199
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_199])],[avatar_definition]) ).
thf(f6964,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_199 ),
inference(avatar_component_clause,[],[f6963]) ).
thf(f6971,definition,
( spl2_201
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f6972,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f6971]) ).
thf(f6974,definition,
( spl2_202
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f6975,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_202 ),
inference(avatar_component_clause,[],[f6974]) ).
thf(f6984,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_185
| ~ spl2_199 ),
inference(constrained_superposition,[],[f6717,f6964]) ).
thf(f6991,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_199 ),
inference(constrained_superposition,[],[f80,f6964]) ).
thf(f6994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_199 ),
inference(constrained_superposition,[],[f90,f6964]) ).
thf(f6997,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_40
| ~ spl2_199 ),
inference(constrained_superposition,[],[f533,f6964]) ).
thf(f7001,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_199 ),
inference(constrained_superposition,[],[f4353,f6964]) ).
thf(f7006,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_199 ),
inference(constrained_superposition,[],[f4886,f6964]) ).
thf(f7053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_199 ),
inference(duplicate_literal_removal,[],[f6994]) ).
thf(f7054,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_199 ),
inference(duplicate_literal_removal,[],[f7001]) ).
thf(f7057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_199 ),
inference(duplicate_literal_removal,[],[f7006]) ).
thf(f7066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_41
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f7053,f724]) ).
thf(f7072,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_5
| ~ spl2_7
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f7054,f4219]) ).
thf(f7074,plain,
( $false
| spl2_41
| ~ spl2_185
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f6984,f724]) ).
thf(f7075,plain,
( spl2_41
| ~ spl2_185
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f7074]) ).
thf(f7088,plain,
( spl2_131
| spl2_146
| spl2_146
| ~ spl2_199 ),
inference(avatar_split_clause,[],[f7057,f6963,f5706,f5706,f5641]) ).
thf(f7089,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_41
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f6991,f724]) ).
thf(f7090,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_13
| ~ spl2_40
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f6997,f161]) ).
thf(f7093,definition,
( spl2_204
<=> ! [X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).
thf(f7094,plain,
( ! [X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_204 ),
inference(avatar_component_clause,[],[f7093]) ).
thf(f7102,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_199 ),
inference(avatar_split_clause,[],[f7066,f6963,f618,f182,f182]) ).
thf(f7104,plain,
( spl2_8
| spl2_8
| spl2_5
| ~ spl2_7
| ~ spl2_199 ),
inference(avatar_split_clause,[],[f7072,f6963,f98,f92,f104,f104]) ).
thf(f7114,plain,
( $false
| spl2_18
| spl2_41
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f7089,f220]) ).
thf(f7115,plain,
( spl2_18
| spl2_41
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f7114]) ).
thf(f7116,plain,
( $false
| spl2_13
| ~ spl2_40
| spl2_41
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f7090,f724]) ).
thf(f7117,plain,
( spl2_13
| ~ spl2_40
| spl2_41
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f7116]) ).
thf(f7135,definition,
( spl2_205
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f7136,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f7135]) ).
thf(f7142,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_7
| spl2_183 ),
inference(constrained_superposition,[],[f6930,f4204]) ).
thf(f7143,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| spl2_183 ),
inference(constrained_superposition,[],[f6930,f2088]) ).
thf(f7145,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| spl2_183 ),
inference(constrained_superposition,[],[f6930,f4330]) ).
thf(f7148,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| spl2_183 ),
inference(trivial_inequality_removal,[],[f7143]) ).
thf(f7151,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_7
| spl2_183 ),
inference(trivial_inequality_removal,[],[f7142]) ).
thf(f7153,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_19
| spl2_183 ),
inference(trivial_inequality_removal,[],[f7145]) ).
thf(f7154,plain,
( spl2_199
| spl2_168
| ~ spl2_64
| spl2_183 ),
inference(avatar_split_clause,[],[f7148,f6708,f2087,f6268,f6963]) ).
thf(f7160,plain,
( spl2_168
| ~ spl2_7
| spl2_183 ),
inference(avatar_split_clause,[],[f7151,f6708,f98,f6268]) ).
thf(f7162,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f7153,f40]) ).
thf(f7163,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_13
| ~ spl2_19
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f7162,f161]) ).
thf(f7164,plain,
( spl2_168
| spl2_13
| ~ spl2_19
| spl2_183 ),
inference(avatar_split_clause,[],[f7163,f6708,f237,f160,f6268]) ).
thf(f7175,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_167
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6839,f6265]) ).
thf(f7176,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_167 ),
inference(constrained_superposition,[],[f5871,f6265]) ).
thf(f7182,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_167 ),
inference(constrained_superposition,[],[f63,f6265]) ).
thf(f7191,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f7182]) ).
thf(f7195,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f7176]) ).
thf(f7196,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_167
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7175]) ).
thf(f7200,definition,
( spl2_208
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f7201,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_208 ),
inference(avatar_component_clause,[],[f7200]) ).
thf(f7207,definition,
( spl2_209
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f7208,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_209 ),
inference(avatar_component_clause,[],[f7207]) ).
thf(f7209,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_191 ),
inference(avatar_component_clause,[],[f6813]) ).
thf(f7210,plain,
( spl2_209
| ~ spl2_191
| ~ spl2_2
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f7191,f6264,f62,f6813,f7207]) ).
thf(f7213,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f7195,f40]) ).
thf(f7214,plain,
( ~ spl2_191
| ~ spl2_167
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f7196,f6838,f6264,f6813]) ).
thf(f7217,plain,
( spl2_202
| spl2_199
| ~ spl2_24
| ~ spl2_40
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f7213,f6264,f532,f275,f6963,f6974]) ).
thf(f7225,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f80,f6975]) ).
thf(f7228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f90,f6975]) ).
thf(f7235,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_202 ),
inference(constrained_superposition,[],[f4353,f6975]) ).
thf(f7240,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f4886,f6975]) ).
thf(f7289,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_202 ),
inference(duplicate_literal_removal,[],[f7235]) ).
thf(f7290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_202 ),
inference(duplicate_literal_removal,[],[f7228]) ).
thf(f7291,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_202 ),
inference(duplicate_literal_removal,[],[f7240]) ).
thf(f7297,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_5
| ~ spl2_7
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f7289,f4219]) ).
thf(f7298,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_41
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f7290,f724]) ).
thf(f7299,plain,
( spl2_146
| spl2_146
| spl2_131
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f7291,f6974,f5641,f5706,f5706]) ).
thf(f7311,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_41
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f7225,f724]) ).
thf(f7326,plain,
( spl2_8
| spl2_8
| spl2_5
| ~ spl2_7
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f7297,f6974,f98,f92,f104,f104]) ).
thf(f7327,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f7298,f6974,f618,f182,f182]) ).
thf(f7336,plain,
( $false
| spl2_18
| spl2_41
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f7311,f220]) ).
thf(f7337,plain,
( spl2_18
| spl2_41
| ~ spl2_202 ),
inference(avatar_contradiction_clause,[],[f7336]) ).
thf(f7350,definition,
( spl2_212
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f7351,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f7350]) ).
thf(f7380,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_40
| ~ spl2_196 ),
inference(constrained_superposition,[],[f6933,f533]) ).
thf(f7393,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_40
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f7380]) ).
thf(f7404,plain,
( $false
| ~ spl2_40
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f7393,f6933]) ).
thf(f7405,plain,
( ~ spl2_40
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f7404]) ).
thf(f7446,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f29,f6262]) ).
thf(f7454,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7446]) ).
thf(f7469,plain,
( spl2_190
| spl2_189
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f7454,f6261,f6803,f6806]) ).
thf(f7482,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_170 ),
inference(constrained_superposition,[],[f315,f6276]) ).
thf(f7485,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_170 ),
inference(constrained_superposition,[],[f186,f6276]) ).
thf(f7501,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_15
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f7485]) ).
thf(f7503,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_21
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f7482]) ).
thf(f7512,definition,
( spl2_215
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_215])],[avatar_definition]) ).
thf(f7513,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_215 ),
inference(avatar_component_clause,[],[f7512]) ).
thf(f7515,definition,
( spl2_216
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f7516,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_216 ),
inference(avatar_component_clause,[],[f7515]) ).
thf(f7517,plain,
( spl2_215
| ~ spl2_216
| ~ spl2_15
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f7501,f6275,f185,f7515,f7512]) ).
thf(f7519,definition,
( spl2_217
<=> ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).
thf(f7520,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ~ spl2_217 ),
inference(avatar_component_clause,[],[f7519]) ).
thf(f7523,definition,
( spl2_218
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).
thf(f7524,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_218 ),
inference(avatar_component_clause,[],[f7523]) ).
thf(f7527,definition,
( spl2_219
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f7528,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f7527]) ).
thf(f7530,definition,
( spl2_220
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f7531,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f7530]) ).
thf(f7534,definition,
( spl2_221
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f7535,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f7534]) ).
thf(f7536,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f7200]) ).
thf(f7547,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_216 ),
inference(constrained_superposition,[],[f7516,f79]) ).
thf(f7548,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_216 ),
inference(constrained_superposition,[],[f7516,f51]) ).
thf(f7551,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_216 ),
inference(trivial_inequality_removal,[],[f7548]) ).
thf(f7552,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_216 ),
inference(trivial_inequality_removal,[],[f7547]) ).
thf(f7562,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_165
| ~ spl2_184 ),
inference(constrained_superposition,[],[f6712,f6258]) ).
thf(f7570,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_165
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f7562]) ).
thf(f7574,plain,
( ~ spl2_135
| ~ spl2_165
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f7570,f6711,f6257,f5658]) ).
thf(f7615,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_166
| ~ spl2_180 ),
inference(constrained_superposition,[],[f6697,f6262]) ).
thf(f7625,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_166
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f7615]) ).
thf(f7628,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166
| ~ spl2_180 ),
inference(constrained_superposition,[],[f7625,f51]) ).
thf(f7633,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f7628]) ).
thf(f7636,definition,
( spl2_223
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f7637,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f7636]) ).
thf(f7640,plain,
( spl2_199
| spl2_220
| ~ spl2_166
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f7633,f6696,f6261,f7530,f6963]) ).
thf(f7642,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_147
| ~ spl2_220 ),
inference(constrained_superposition,[],[f5712,f7531]) ).
thf(f7643,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_220 ),
inference(constrained_superposition,[],[f5871,f7531]) ).
thf(f7649,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_220 ),
inference(constrained_superposition,[],[f63,f7531]) ).
thf(f7658,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7649]) ).
thf(f7662,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_147
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7642]) ).
thf(f7663,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7643]) ).
thf(f7666,definition,
( spl2_224
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f7667,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(avatar_component_clause,[],[f7666]) ).
thf(f7669,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_191
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f7658,f6814]) ).
thf(f7672,plain,
( $false
| ~ spl2_147
| ~ spl2_191
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f7662,f6814]) ).
thf(f7673,plain,
( ~ spl2_147
| ~ spl2_191
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f7672]) ).
thf(f7674,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f7663,f40]) ).
thf(f7676,plain,
( spl2_152
| ~ spl2_2
| ~ spl2_191
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f7669,f7530,f6813,f62,f5933]) ).
thf(f7679,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24
| ~ spl2_40
| spl2_110
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f7674,f6173]) ).
thf(f7682,plain,
( spl2_202
| ~ spl2_24
| ~ spl2_40
| spl2_110
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f7679,f7530,f4928,f532,f275,f6974]) ).
thf(f7687,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6839,f6255]) ).
thf(f7688,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_164 ),
inference(constrained_superposition,[],[f5871,f6255]) ).
thf(f7693,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_164 ),
inference(constrained_superposition,[],[f5868,f6255]) ).
thf(f7702,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7687]) ).
thf(f7706,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7688]) ).
thf(f7710,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7693]) ).
thf(f7712,plain,
( $false
| ~ spl2_108
| ~ spl2_164
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f7702,f4921]) ).
thf(f7713,plain,
( ~ spl2_108
| ~ spl2_164
| ~ spl2_193 ),
inference(avatar_contradiction_clause,[],[f7712]) ).
thf(f7715,definition,
( spl2_225
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f7716,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f7715]) ).
thf(f7718,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_40
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f7706,f40]) ).
thf(f7721,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_24
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f7710,f40]) ).
thf(f7723,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_24
| ~ spl2_40
| spl2_110
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f7718,f6173]) ).
thf(f7726,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_24
| spl2_110
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f7721,f6173]) ).
thf(f7727,plain,
( spl2_199
| ~ spl2_24
| ~ spl2_40
| spl2_110
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f7723,f6254,f4928,f532,f275,f6963]) ).
thf(f7729,plain,
( spl2_199
| spl2_209
| ~ spl2_24
| spl2_110
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f7726,f6254,f4928,f275,f7207,f6963]) ).
thf(f7761,definition,
( spl2_232
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f7762,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f7761]) ).
thf(f7766,definition,
( spl2_233
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f7767,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f7766]) ).
thf(f7801,definition,
( spl2_239
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f7802,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f7801]) ).
thf(f7847,plain,
( ( $true != $true )
| ~ spl2_8
| ~ spl2_183 ),
inference(constrained_superposition,[],[f105,f6709]) ).
thf(f7848,plain,
( ( $true != $true )
| ~ spl2_8
| ~ spl2_208 ),
inference(constrained_superposition,[],[f105,f7536]) ).
thf(f7854,plain,
( $false
| ~ spl2_8
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f7848]) ).
thf(f7855,plain,
( ~ spl2_8
| ~ spl2_208 ),
inference(avatar_contradiction_clause,[],[f7854]) ).
thf(f7858,plain,
( $false
| ~ spl2_8
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f7847]) ).
thf(f7859,plain,
( ~ spl2_8
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f7858]) ).
thf(f7866,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_216 ),
inference(forward_subsumption_resolution,[],[f7551,f40]) ).
thf(f7871,plain,
( $false
| ~ spl2_8
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f4917,f105]) ).
thf(f7872,plain,
( ~ spl2_8
| ~ spl2_107 ),
inference(avatar_contradiction_clause,[],[f7871]) ).
thf(f7873,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_21
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f7503,f105]) ).
thf(f7876,plain,
( $false
| ~ spl2_8
| spl2_216 ),
inference(forward_subsumption_resolution,[],[f7866,f105]) ).
thf(f7877,plain,
( ~ spl2_8
| spl2_216 ),
inference(avatar_contradiction_clause,[],[f7876]) ).
thf(f7879,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_21
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f7873,f40]) ).
thf(f7881,plain,
( spl2_202
| spl2_215
| ~ spl2_8
| ~ spl2_21
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f7879,f6275,f244,f104,f7512,f6974]) ).
thf(f7883,plain,
( spl2_183
| spl2_216 ),
inference(avatar_split_clause,[],[f7552,f7515,f6708]) ).
thf(f7888,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_21
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f7503,f40]) ).
thf(f7894,plain,
( spl2_33
| ~ spl2_24
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f5803,f461,f275,f466]) ).
thf(f7897,plain,
( spl2_108
| spl2_122
| spl2_105 ),
inference(avatar_split_clause,[],[f4890,f4910,f5270,f4920]) ).
thf(f7898,plain,
( spl2_108
| spl2_132 ),
inference(avatar_split_clause,[],[f6471,f5644,f4920]) ).
thf(f7900,plain,
( spl2_215
| spl2_183
| spl2_202
| ~ spl2_21
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f7888,f6275,f244,f6974,f6708,f7512]) ).
thf(f7904,definition,
( spl2_245
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f7905,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f7904]) ).
thf(f7911,definition,
( spl2_246
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f7912,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f7911]) ).
thf(f7915,definition,
( spl2_247
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f7916,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_247 ),
inference(avatar_component_clause,[],[f7915]) ).
thf(f7998,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ X3 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_86 ),
inference(constrained_superposition,[],[f90,f3622]) ).
thf(f8030,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= X0 )
| ( ( sK0 @ X0 )
= X0 ) )
| ~ spl2_86 ),
inference(equality_factoring,[],[f3622]) ).
thf(f8034,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ X3 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_86 ),
inference(duplicate_literal_removal,[],[f7998]) ).
thf(f8041,definition,
( spl2_249
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f8042,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f8041]) ).
thf(f8061,plain,
( spl2_14
| spl2_41
| spl2_14
| spl2_58
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f8034,f3621,f1652,f182,f618,f182]) ).
thf(f8077,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f7515]) ).
thf(f8245,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_86 ),
inference(equality_resolution,[],[f8030]) ).
thf(f8246,plain,
( spl2_110
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f8245,f3621,f4928]) ).
thf(f8269,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f79,f4929]) ).
thf(f8304,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_18
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f8269,f220]) ).
thf(f8313,plain,
( spl2_41
| spl2_18
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f8304,f4928,f219,f618]) ).
thf(f8609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f55,f119]) ).
thf(f8612,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f8609]) ).
thf(f8617,plain,
( spl2_21
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f8612,f118,f244]) ).
thf(f8621,plain,
( $false
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f624,f105]) ).
thf(f8622,plain,
( ~ spl2_8
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f8621]) ).
thf(f8623,plain,
( $false
| spl2_5
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f4219,f241]) ).
thf(f8624,plain,
( spl2_5
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f8623]) ).
thf(f8704,plain,
( $false
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_subsumption_resolution,[],[f619,f105]) ).
thf(f8705,plain,
( ~ spl2_8
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f8704]) ).
thf(f8728,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f5121,f49]) ).
thf(f8731,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f8728]) ).
thf(f8733,plain,
( spl2_152
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f8731,f5120,f5933]) ).
thf(f8734,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_15
| ~ spl2_152 ),
inference(constrained_superposition,[],[f186,f5934]) ).
thf(f8742,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f8734]) ).
thf(f8749,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_121
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f8742,f5121]) ).
thf(f8754,plain,
( $false
| ~ spl2_11
| ~ spl2_15
| ~ spl2_121
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f8749,f119]) ).
thf(f8755,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_121
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f8754]) ).
thf(f8757,definition,
( spl2_255
<=> ! [X0: $i] :
( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f8758,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f8757]) ).
thf(f8763,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f26,f96]) ).
thf(f8765,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f8763]) ).
thf(f8768,plain,
( spl2_55
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f8765,f95,f1319]) ).
thf(f8780,plain,
( $false
| ~ spl2_6
| spl2_107 ),
inference(forward_subsumption_resolution,[],[f5702,f96]) ).
thf(f8781,plain,
( ~ spl2_6
| spl2_107 ),
inference(avatar_contradiction_clause,[],[f8780]) ).
thf(f8786,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f6855,f49]) ).
thf(f8787,plain,
( ( $true != $true )
| ~ spl2_185
| ~ spl2_194 ),
inference(constrained_superposition,[],[f6855,f6717]) ).
thf(f8789,plain,
( $false
| ~ spl2_185
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f8787]) ).
thf(f8790,plain,
( ~ spl2_185
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f8789]) ).
thf(f8791,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f8786]) ).
thf(f8793,plain,
( spl2_209
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f8791,f6854,f7207]) ).
thf(f8796,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_209 ),
inference(constrained_superposition,[],[f186,f7208]) ).
thf(f8808,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f8796]) ).
thf(f8815,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_194
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f8808,f6855]) ).
thf(f8817,plain,
( $false
| ~ spl2_11
| ~ spl2_15
| ~ spl2_194
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f8815,f119]) ).
thf(f8818,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_194
| ~ spl2_209 ),
inference(avatar_contradiction_clause,[],[f8817]) ).
thf(f8823,definition,
( spl2_257
<=> ! [X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_257])],[avatar_definition]) ).
thf(f8824,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_257 ),
inference(avatar_component_clause,[],[f8823]) ).
thf(f8831,plain,
( $false
| ~ spl2_124
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f6709,f5343]) ).
thf(f8832,plain,
( ~ spl2_124
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f8831]) ).
thf(f8836,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f26,f6709]) ).
thf(f8840,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8836]) ).
thf(f8841,plain,
( spl2_186
| spl2_194
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f8840,f6708,f6854,f6743]) ).
thf(f8842,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_185 ),
inference(constrained_superposition,[],[f63,f6717]) ).
thf(f8847,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f8842]) ).
thf(f8856,plain,
( $false
| ~ spl2_196
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f6943,f6933]) ).
thf(f8857,plain,
( ~ spl2_196
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f8856]) ).
thf(f8858,plain,
( $false
| ~ spl2_171
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f6279,f6933]) ).
thf(f8859,plain,
( ~ spl2_171
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f8858]) ).
thf(f8877,definition,
( spl2_258
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f8878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f8877]) ).
thf(f8891,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f55,f8077]) ).
thf(f8896,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f8891]) ).
thf(f8901,plain,
( spl2_21
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f8896,f7515,f244]) ).
thf(f8909,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f99,f79]) ).
thf(f8910,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f99,f51]) ).
thf(f8914,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f8910]) ).
thf(f8915,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f8909]) ).
thf(f8917,plain,
( spl2_245
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f8915,f98,f7904]) ).
thf(f8919,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_183 ),
inference(constrained_superposition,[],[f108,f6709]) ).
thf(f8921,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8919]) ).
thf(f8924,plain,
( $false
| ~ spl2_9
| ~ spl2_20
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f8921,f241]) ).
thf(f8925,plain,
( ~ spl2_9
| ~ spl2_20
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f8924]) ).
thf(f8948,plain,
( ( $true != $true )
| ~ spl2_209
| ~ spl2_217 ),
inference(constrained_superposition,[],[f7520,f7208]) ).
thf(f8951,plain,
( $false
| ~ spl2_209
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f8948]) ).
thf(f8952,plain,
( ~ spl2_209
| ~ spl2_217 ),
inference(avatar_contradiction_clause,[],[f8951]) ).
thf(f8986,plain,
( ( $true != $true )
| ~ spl2_126
| ~ spl2_191 ),
inference(constrained_superposition,[],[f5353,f6814]) ).
thf(f8991,plain,
( $false
| ~ spl2_126
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f8986]) ).
thf(f8992,plain,
( ~ spl2_126
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f8991]) ).
thf(f9012,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_15
| ~ spl2_165 ),
inference(constrained_superposition,[],[f186,f6258]) ).
thf(f9014,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f76,f6258]) ).
thf(f9022,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_15
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f9012]) ).
thf(f9026,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f9014]) ).
thf(f9157,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_205
| ~ spl2_215 ),
inference(constrained_superposition,[],[f7136,f7513]) ).
thf(f9161,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_205
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f9157]) ).
thf(f9165,plain,
( $false
| ~ spl2_5
| ~ spl2_205
| ~ spl2_215 ),
inference(forward_subsumption_resolution,[],[f9161,f93]) ).
thf(f9166,plain,
( ~ spl2_5
| ~ spl2_205
| ~ spl2_215 ),
inference(avatar_contradiction_clause,[],[f9165]) ).
thf(f9167,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_258 ),
inference(constrained_superposition,[],[f8878,f6276]) ).
thf(f9172,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f9167]) ).
thf(f9177,plain,
( ~ spl2_218
| ~ spl2_170
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f9172,f8877,f6275,f7523]) ).
thf(f9195,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f4914,f51]) ).
thf(f9200,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f9195]) ).
thf(f9202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_245 ),
inference(constrained_superposition,[],[f7905,f50]) ).
thf(f9205,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9202]) ).
thf(f9207,plain,
( spl2_247
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f9205,f7904,f7915]) ).
thf(f9208,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_165
| ~ spl2_180 ),
inference(constrained_superposition,[],[f6697,f6258]) ).
thf(f9209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f6697,f80]) ).
thf(f9212,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_209 ),
inference(constrained_superposition,[],[f6697,f7208]) ).
thf(f9215,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_180
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f9212]) ).
thf(f9217,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f9209]) ).
thf(f9218,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_165
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f9208]) ).
thf(f9241,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_185
| ~ spl2_225 ),
inference(constrained_superposition,[],[f7716,f6717]) ).
thf(f9249,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_185
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f9241]) ).
thf(f9270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_223 ),
inference(constrained_superposition,[],[f4886,f7637]) ).
thf(f9304,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_223 ),
inference(duplicate_literal_removal,[],[f9270]) ).
thf(f9306,plain,
( spl2_131
| spl2_146
| spl2_146
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f9304,f7636,f5706,f5706,f5641]) ).
thf(f9315,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f252,f51]) ).
thf(f9324,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f252,f24]) ).
thf(f9325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f9315]) ).
thf(f9330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f9324]) ).
thf(f9335,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_219 ),
inference(constrained_superposition,[],[f7528,f6276]) ).
thf(f9336,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f7528,f80]) ).
thf(f9342,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f9335]) ).
thf(f9343,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f9336]) ).
thf(f9345,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_249 ),
inference(avatar_component_clause,[],[f8041]) ).
thf(f9346,plain,
( ~ spl2_249
| spl2_215
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f9343,f7527,f7512,f8041]) ).
thf(f9347,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_249 ),
inference(constrained_superposition,[],[f9345,f80]) ).
thf(f9348,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_249 ),
inference(constrained_superposition,[],[f9345,f51]) ).
thf(f9349,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_249 ),
inference(constrained_superposition,[],[f9345,f24]) ).
thf(f9350,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9348]) ).
thf(f9351,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9347]) ).
thf(f9352,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9349]) ).
thf(f9353,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9350,f9249]) ).
thf(f9356,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_110
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9352,f6173]) ).
thf(f9357,plain,
( $false
| ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9353,f40]) ).
thf(f9358,plain,
( ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(avatar_contradiction_clause,[],[f9357]) ).
thf(f9359,plain,
( $false
| spl2_110
| ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9356,f9249]) ).
thf(f9360,plain,
( spl2_110
| ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(avatar_contradiction_clause,[],[f9359]) ).
thf(f9362,plain,
( spl2_111
| spl2_249 ),
inference(avatar_split_clause,[],[f9351,f8041,f4932]) ).
thf(f9364,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_147 ),
inference(constrained_superposition,[],[f5712,f4933]) ).
thf(f9365,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_111 ),
inference(constrained_superposition,[],[f63,f4933]) ).
thf(f9367,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f9365]) ).
thf(f9368,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f9364]) ).
thf(f9370,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_5
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f9367,f93]) ).
thf(f9371,plain,
( $false
| ~ spl2_5
| ~ spl2_111
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f9368,f93]) ).
thf(f9372,plain,
( ~ spl2_5
| ~ spl2_111
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f9371]) ).
thf(f9374,plain,
( $false
| ~ spl2_2
| ~ spl2_5
| ~ spl2_111
| ~ spl2_180
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f9370,f9215]) ).
thf(f9375,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_111
| ~ spl2_180
| ~ spl2_209 ),
inference(avatar_contradiction_clause,[],[f9374]) ).
thf(f9378,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| spl2_5 ),
inference(constrained_superposition,[],[f4219,f353]) ).
thf(f9379,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_5 ),
inference(trivial_inequality_removal,[],[f9378]) ).
thf(f9381,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f9379,f40]) ).
thf(f9387,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_23
| ~ spl2_249 ),
inference(constrained_superposition,[],[f252,f8042]) ).
thf(f9393,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_23
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f9387]) ).
thf(f9416,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_219 ),
inference(constrained_superposition,[],[f9342,f24]) ).
thf(f9419,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f9416]) ).
thf(f9424,definition,
( spl2_261
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_261])],[avatar_definition]) ).
thf(f9425,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_261 ),
inference(avatar_component_clause,[],[f9424]) ).
thf(f9426,plain,
( spl2_169
| spl2_261
| ~ spl2_170
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f9419,f7527,f6275,f9424,f6271]) ).
thf(f9438,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_120
| ~ spl2_169 ),
inference(constrained_superposition,[],[f5118,f6272]) ).
thf(f9442,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_120
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f9438]) ).
thf(f9444,plain,
( $false
| ~ spl2_120
| ~ spl2_169
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f9442,f6709]) ).
thf(f9445,plain,
( ~ spl2_120
| ~ spl2_169
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f9444]) ).
thf(f9461,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f6807,f80]) ).
thf(f9465,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f9461]) ).
thf(f9470,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_197
| ~ spl2_198 ),
inference(constrained_superposition,[],[f6937,f6943]) ).
thf(f9472,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_197
| ~ spl2_215 ),
inference(constrained_superposition,[],[f6937,f7513]) ).
thf(f9476,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_197
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f9470]) ).
thf(f9477,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_197
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f9472]) ).
thf(f9478,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_172 ),
inference(avatar_component_clause,[],[f6282]) ).
thf(f9480,plain,
( ~ spl2_172
| ~ spl2_197
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f9476,f6942,f6936,f6282]) ).
thf(f9481,plain,
( $false
| ~ spl2_185
| ~ spl2_197
| ~ spl2_215 ),
inference(forward_subsumption_resolution,[],[f9477,f6717]) ).
thf(f9482,plain,
( ~ spl2_185
| ~ spl2_197
| ~ spl2_215 ),
inference(avatar_contradiction_clause,[],[f9481]) ).
thf(f9484,definition,
( spl2_262
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_262])],[avatar_definition]) ).
thf(f9485,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_262 ),
inference(avatar_component_clause,[],[f9484]) ).
thf(f9486,plain,
( spl2_215
| ~ spl2_262
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f9465,f6806,f9484,f7512]) ).
thf(f9492,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_262 ),
inference(constrained_superposition,[],[f9485,f80]) ).
thf(f9497,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_262 ),
inference(trivial_inequality_removal,[],[f9492]) ).
thf(f9499,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_171
| ~ spl2_195 ),
inference(constrained_superposition,[],[f6885,f6279]) ).
thf(f9503,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_171
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f9499]) ).
thf(f9508,plain,
( $false
| ~ spl2_171
| ~ spl2_183
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f9503,f6709]) ).
thf(f9509,plain,
( ~ spl2_171
| ~ spl2_183
| ~ spl2_195 ),
inference(avatar_contradiction_clause,[],[f9508]) ).
thf(f9525,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_55
| ~ spl2_171 ),
inference(constrained_superposition,[],[f1320,f6279]) ).
thf(f9526,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_55
| ~ spl2_169 ),
inference(constrained_superposition,[],[f1320,f6272]) ).
thf(f9529,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_55
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f9526]) ).
thf(f9530,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_55
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f9525]) ).
thf(f9537,plain,
( spl2_120
| ~ spl2_55
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f9529,f6271,f1319,f5117]) ).
thf(f9538,plain,
( spl2_195
| ~ spl2_55
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f9530,f6278,f1319,f6884]) ).
thf(f9687,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_199 ),
inference(avatar_component_clause,[],[f6963]) ).
thf(f9710,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_199 ),
inference(extensionality_resolution,[],[f81,f9687]) ).
thf(f9711,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_199 ),
inference(extensionality_resolution,[],[f81,f9687]) ).
thf(f9713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_199 ),
inference(extensionality_resolution,[],[f55,f9687]) ).
thf(f9715,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_199 ),
inference(extensionality_resolution,[],[f51,f9687]) ).
thf(f9719,definition,
( spl2_263
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).
thf(f9720,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_263 ),
inference(avatar_component_clause,[],[f9719]) ).
thf(f9722,definition,
( spl2_264
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f9723,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f9722]) ).
thf(f9724,plain,
( spl2_263
| spl2_264
| spl2_199 ),
inference(avatar_split_clause,[],[f9715,f6963,f9722,f9719]) ).
thf(f9726,definition,
( spl2_265
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f9727,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_265 ),
inference(avatar_component_clause,[],[f9726]) ).
thf(f9729,definition,
( spl2_266
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).
thf(f9730,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f9729]) ).
thf(f9731,plain,
( spl2_265
| spl2_266
| spl2_199 ),
inference(avatar_split_clause,[],[f9711,f6963,f9729,f9726]) ).
thf(f9733,definition,
( spl2_267
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_267])],[avatar_definition]) ).
thf(f9734,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_267 ),
inference(avatar_component_clause,[],[f9733]) ).
thf(f9736,definition,
( spl2_268
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f9737,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f9736]) ).
thf(f9738,plain,
( spl2_267
| spl2_268
| spl2_199 ),
inference(avatar_split_clause,[],[f9710,f6963,f9736,f9733]) ).
thf(f9740,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_190
| ~ spl2_263 ),
inference(constrained_superposition,[],[f6807,f9720]) ).
thf(f9743,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_263 ),
inference(constrained_superposition,[],[f186,f9720]) ).
thf(f9751,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_190
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f9740]) ).
thf(f9756,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_15
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f9743]) ).
thf(f9763,plain,
( $false
| ~ spl2_165
| ~ spl2_190
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f9751,f6258]) ).
thf(f9764,plain,
( ~ spl2_165
| ~ spl2_190
| ~ spl2_263 ),
inference(avatar_contradiction_clause,[],[f9763]) ).
thf(f9767,plain,
( ~ spl2_135
| spl2_215
| ~ spl2_15
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f9756,f9719,f185,f7512,f5658]) ).
thf(f9775,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_205
| ~ spl2_264 ),
inference(constrained_superposition,[],[f7136,f9723]) ).
thf(f9780,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_205
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f9775]) ).
thf(f9784,plain,
( $false
| ~ spl2_108
| ~ spl2_205
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f9780,f4921]) ).
thf(f9785,plain,
( ~ spl2_108
| ~ spl2_205
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f9784]) ).
thf(f9789,plain,
( spl2_168
| spl2_212
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f9026,f6257,f7350,f6268]) ).
thf(f9791,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_168 ),
inference(avatar_component_clause,[],[f6268]) ).
thf(f9794,plain,
( spl2_104
| ~ spl2_39
| ~ spl2_23
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f9393,f8041,f251,f529,f4905]) ).
thf(f9795,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_104 ),
inference(avatar_component_clause,[],[f4905]) ).
thf(f9798,plain,
( ( $true != $true )
| ~ spl2_1
| ~ spl2_108 ),
inference(constrained_superposition,[],[f60,f4921]) ).
thf(f9800,plain,
( $false
| ~ spl2_1
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f9798]) ).
thf(f9801,plain,
( ~ spl2_1
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f9800]) ).
thf(f9814,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_172
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6744,f6283]) ).
thf(f9819,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_172
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f9814]) ).
thf(f9825,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_190
| ~ spl2_201 ),
inference(constrained_superposition,[],[f6807,f6972]) ).
thf(f9828,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_201 ),
inference(constrained_superposition,[],[f186,f6972]) ).
thf(f9840,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f9828]) ).
thf(f9842,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_190
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f9825]) ).
thf(f9888,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_185
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6839,f6717]) ).
thf(f9891,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_185
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f9888]) ).
thf(f9931,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f76,f6276]) ).
thf(f9936,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9931]) ).
thf(f9947,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_170
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f9936,f7209]) ).
thf(f9949,plain,
( spl2_258
| ~ spl2_170
| spl2_191 ),
inference(avatar_split_clause,[],[f9947,f6813,f6275,f8877]) ).
thf(f9983,definition,
( spl2_270
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).
thf(f9984,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f9983]) ).
thf(f9986,definition,
( spl2_271
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_271])],[avatar_definition]) ).
thf(f9987,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_271 ),
inference(avatar_component_clause,[],[f9986]) ).
thf(f9990,definition,
( spl2_272
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_272])],[avatar_definition]) ).
thf(f9991,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_272 ),
inference(avatar_component_clause,[],[f9990]) ).
thf(f9994,definition,
( spl2_273
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_273])],[avatar_definition]) ).
thf(f9995,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_273 ),
inference(avatar_component_clause,[],[f9994]) ).
thf(f9997,definition,
( spl2_274
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f9998,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f9997]) ).
thf(f10001,definition,
( spl2_275
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f10002,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f10001]) ).
thf(f10004,definition,
( spl2_276
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_276])],[avatar_definition]) ).
thf(f10005,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_276 ),
inference(avatar_component_clause,[],[f10004]) ).
thf(f10029,definition,
( spl2_279
<=> ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f10030,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f10029]) ).
thf(f10032,definition,
( spl2_280
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f10033,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f10032]) ).
thf(f10035,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f10030,f49]) ).
thf(f10037,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f10035]) ).
thf(f10041,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_279 ),
inference(constrained_superposition,[],[f186,f10037]) ).
thf(f10042,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f90,f10037]) ).
thf(f10051,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_15
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f10041]) ).
thf(f10053,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f10042]) ).
thf(f10059,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_11
| ~ spl2_15
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f10051,f119]) ).
thf(f10061,plain,
( spl2_275
| spl2_276
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f10053,f10029,f10004,f10001]) ).
thf(f10071,plain,
( $false
| ~ spl2_11
| ~ spl2_15
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f10059,f10030]) ).
thf(f10072,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_279 ),
inference(avatar_contradiction_clause,[],[f10071]) ).
thf(f10074,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_267 ),
inference(constrained_superposition,[],[f6697,f9734]) ).
thf(f10093,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f10074]) ).
thf(f10100,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_267 ),
inference(constrained_superposition,[],[f10093,f330]) ).
thf(f10107,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f10100]) ).
thf(f10111,definition,
( spl2_284
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).
thf(f10112,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f10111]) ).
thf(f10114,plain,
( spl2_270
| ~ spl2_180
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f10107,f9733,f6696,f9983]) ).
thf(f10115,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_193
| ~ spl2_268 ),
inference(constrained_superposition,[],[f6839,f9737]) ).
thf(f10122,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_193
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f10115]) ).
thf(f10126,plain,
( $false
| ~ spl2_193
| ~ spl2_268
| ~ spl2_273 ),
inference(forward_subsumption_resolution,[],[f10122,f9995]) ).
thf(f10127,plain,
( ~ spl2_193
| ~ spl2_268
| ~ spl2_273 ),
inference(avatar_contradiction_clause,[],[f10126]) ).
thf(f10134,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_147
| ~ spl2_270 ),
inference(constrained_superposition,[],[f5712,f9984]) ).
thf(f10136,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_270 ),
inference(constrained_superposition,[],[f63,f9984]) ).
thf(f10138,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f10136]) ).
thf(f10139,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_147
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f10134]) ).
thf(f10146,definition,
( spl2_286
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).
thf(f10147,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f10146]) ).
thf(f10150,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_273 ),
inference(avatar_component_clause,[],[f9994]) ).
thf(f10151,plain,
( ~ spl2_273
| spl2_152
| ~ spl2_2
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f10138,f9983,f62,f5933,f9994]) ).
thf(f10152,plain,
( ~ spl2_273
| ~ spl2_147
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f10139,f9983,f5711,f9994]) ).
thf(f10210,definition,
( spl2_287
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f10211,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f10210]) ).
thf(f10220,definition,
( spl2_288
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f10221,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f10220]) ).
thf(f10224,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_265 ),
inference(constrained_superposition,[],[f63,f9727]) ).
thf(f10226,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f10224]) ).
thf(f10229,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_168
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f10226,f6269]) ).
thf(f10233,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_15
| ~ spl2_168
| ~ spl2_265 ),
inference(constrained_superposition,[],[f186,f10229]) ).
thf(f10237,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_2
| ~ spl2_168
| ~ spl2_265 ),
inference(constrained_superposition,[],[f29,f10229]) ).
thf(f10244,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_2
| ~ spl2_15
| ~ spl2_168
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f10233]) ).
thf(f10249,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_2
| ~ spl2_168
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f10237]) ).
thf(f10252,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_15
| ~ spl2_168
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f10244,f119]) ).
thf(f10254,plain,
( spl2_22
| spl2_274
| ~ spl2_2
| ~ spl2_168
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f10249,f9726,f6268,f62,f9997,f248]) ).
thf(f10255,plain,
( spl2_287
| ~ spl2_2
| ~ spl2_11
| ~ spl2_15
| ~ spl2_168
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f10252,f9726,f6268,f185,f118,f62,f10210]) ).
thf(f10282,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_265
| ~ spl2_280 ),
inference(constrained_superposition,[],[f10033,f9727]) ).
thf(f10287,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_265
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f10282]) ).
thf(f10289,plain,
( $false
| ~ spl2_168
| ~ spl2_265
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f10287,f6269]) ).
thf(f10290,plain,
( ~ spl2_168
| ~ spl2_265
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f10289]) ).
thf(f10343,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_266
| ~ spl2_271 ),
inference(constrained_superposition,[],[f9987,f9730]) ).
thf(f10349,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_266
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f10343]) ).
thf(f10353,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_266
| ~ spl2_271 ),
inference(constrained_superposition,[],[f10349,f330]) ).
thf(f10360,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_266
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f10353]) ).
thf(f10364,plain,
( spl2_169
| ~ spl2_266
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f10360,f9986,f9729,f6271]) ).
thf(f10426,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_154
| ~ spl2_168 ),
inference(constrained_superposition,[],[f5947,f6269]) ).
thf(f10430,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_154
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f10426]) ).
thf(f10431,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_154
| ~ spl2_168
| spl2_199 ),
inference(forward_subsumption_resolution,[],[f10430,f9687]) ).
thf(f10432,plain,
( spl2_261
| ~ spl2_154
| ~ spl2_168
| spl2_199 ),
inference(avatar_split_clause,[],[f10431,f6963,f6268,f5946,f9424]) ).
thf(f10433,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_165
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6258,f9425]) ).
thf(f10441,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_186
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6744,f9425]) ).
thf(f10519,plain,
( $false
| ~ spl2_165
| ~ spl2_180
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f10433,f9218]) ).
thf(f10520,plain,
( ~ spl2_165
| ~ spl2_180
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f10519]) ).
thf(f10538,plain,
( spl2_120
| ~ spl2_186
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f10441,f9424,f6743,f5117]) ).
thf(f10544,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_191
| ~ spl2_204 ),
inference(constrained_superposition,[],[f7209,f7094]) ).
thf(f10545,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| spl2_273 ),
inference(constrained_superposition,[],[f10150,f7094]) ).
thf(f10547,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_191
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f10544]) ).
thf(f10549,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| spl2_273 ),
inference(trivial_inequality_removal,[],[f10545]) ).
thf(f10550,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_191
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f10547,f40]) ).
thf(f10551,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| spl2_273 ),
inference(forward_subsumption_resolution,[],[f10549,f40]) ).
thf(f10552,plain,
( spl2_261
| spl2_191
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f10550,f7093,f6813,f9424]) ).
thf(f10553,plain,
( spl2_223
| ~ spl2_204
| spl2_273 ),
inference(avatar_split_clause,[],[f10551,f9994,f7093,f7636]) ).
thf(f10586,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_232
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10147,f7762]) ).
thf(f10597,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_232
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f10586]) ).
thf(f10648,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f8914,f50]) ).
thf(f10650,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f10648]) ).
thf(f10662,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f238,f24]) ).
thf(f10663,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f10662]) ).
thf(f10715,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( X0 = X1 ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f10663,f24]) ).
thf(f10716,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f10663,f51]) ).
thf(f10718,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f10663,f80]) ).
thf(f10727,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f10718]) ).
thf(f10731,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( X0 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f10715]) ).
thf(f10735,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f10716]) ).
thf(f10739,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f10727,f40]) ).
thf(f10741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( X0 = X1 ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f10735,f40]) ).
thf(f10745,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f10741,f40]) ).
thf(f10872,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_36
| spl2_191 ),
inference(constrained_superposition,[],[f7209,f480]) ).
thf(f10874,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| spl2_5
| ~ spl2_36 ),
inference(constrained_superposition,[],[f4219,f480]) ).
thf(f10880,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_36
| spl2_191 ),
inference(trivial_inequality_removal,[],[f10872]) ).
thf(f10885,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| spl2_5
| ~ spl2_36 ),
inference(duplicate_literal_removal,[],[f10874]) ).
thf(f10886,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_5
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f10885]) ).
thf(f10904,definition,
( spl2_292
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f10905,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f10904]) ).
thf(f10915,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_36
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f10880,f40]) ).
thf(f10926,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| spl2_5
| ~ spl2_36 ),
inference(forward_subsumption_resolution,[],[f10886,f40]) ).
thf(f10937,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_36
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f10915,f40]) ).
thf(f10946,plain,
( spl2_24
| spl2_5
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f10926,f479,f92,f275]) ).
thf(f10953,plain,
( spl2_24
| ~ spl2_36
| spl2_191 ),
inference(avatar_split_clause,[],[f10937,f6813,f479,f275]) ).
thf(f11022,definition,
( spl2_302
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f11023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f11022]) ).
thf(f11186,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_208
| ~ spl2_233 ),
inference(constrained_superposition,[],[f7767,f7536]) ).
thf(f11194,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_208
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f11186]) ).
thf(f11206,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_191
| ~ spl2_208
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f11194,f7209]) ).
thf(f11211,plain,
( spl2_261
| spl2_191
| ~ spl2_208
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f11206,f7766,f7200,f6813,f9424]) ).
thf(f11274,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f9200,f51]) ).
thf(f11278,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f11274]) ).
thf(f11280,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_92
| ~ spl2_183 ),
inference(constrained_superposition,[],[f4384,f6709]) ).
thf(f11285,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_92 ),
inference(constrained_superposition,[],[f4384,f10650]) ).
thf(f11289,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_92
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f11280]) ).
thf(f11292,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f11285]) ).
thf(f11298,plain,
( spl2_246
| ~ spl2_7
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f11292,f4383,f98,f7911]) ).
thf(f11307,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_21 ),
inference(constrained_superposition,[],[f245,f119]) ).
thf(f11308,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f245,f24]) ).
thf(f11309,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f11307]) ).
thf(f11310,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f11308]) ).
thf(f11320,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ X0 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f9330,f24]) ).
thf(f11322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ X0 ) ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f11320]) ).
thf(f11377,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_106
| ~ spl2_147 ),
inference(constrained_superposition,[],[f5712,f11278]) ).
thf(f11382,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_106
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f11377]) ).
thf(f11388,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_106
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f11382,f10650]) ).
thf(f11390,plain,
( spl2_155
| ~ spl2_7
| ~ spl2_106
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f11388,f5711,f4913,f98,f5953]) ).
thf(f11424,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_5 ),
inference(equality_factoring,[],[f9381]) ).
thf(f11429,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_5 ),
inference(duplicate_literal_removal,[],[f11424]) ).
thf(f11430,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| spl2_5 ),
inference(trivial_inequality_removal,[],[f11429]) ).
thf(f11452,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_5 ),
inference(constrained_superposition,[],[f26,f11430]) ).
thf(f11462,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| spl2_5 ),
inference(trivial_inequality_removal,[],[f11452]) ).
thf(f11470,definition,
( spl2_304
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_304])],[avatar_definition]) ).
thf(f11471,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f11470]) ).
thf(f11472,plain,
( spl2_304
| spl2_8
| spl2_5 ),
inference(avatar_split_clause,[],[f11462,f92,f104,f11470]) ).
thf(f11473,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_304 ),
inference(constrained_superposition,[],[f11471,f49]) ).
thf(f11485,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f11473]) ).
thf(f11557,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_2
| ~ spl2_150 ),
inference(constrained_superposition,[],[f63,f5744]) ).
thf(f11562,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f11557]) ).
thf(f11574,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_21
| ~ spl2_150 ),
inference(forward_subsumption_resolution,[],[f11562,f11309]) ).
thf(f11575,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_21
| ~ spl2_108
| ~ spl2_150 ),
inference(forward_subsumption_resolution,[],[f11574,f4921]) ).
thf(f11585,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_21
| ~ spl2_108
| ~ spl2_150 ),
inference(constrained_superposition,[],[f26,f11575]) ).
thf(f11595,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_2
| ~ spl2_11
| ~ spl2_21
| ~ spl2_108
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f11585]) ).
thf(f11597,definition,
( spl2_306
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f11598,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f11597]) ).
thf(f11599,plain,
( spl2_8
| spl2_306
| ~ spl2_2
| ~ spl2_11
| ~ spl2_21
| ~ spl2_108
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f11595,f5743,f4920,f244,f118,f62,f11597,f104]) ).
thf(f11651,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_169 ),
inference(avatar_component_clause,[],[f6271]) ).
thf(f11653,definition,
( spl2_308
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f11654,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f11653]) ).
thf(f11662,definition,
( spl2_309
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f11663,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f11662]) ).
thf(f11665,definition,
( spl2_310
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_310])],[avatar_definition]) ).
thf(f11666,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_310 ),
inference(avatar_component_clause,[],[f11665]) ).
thf(f11898,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_23
| spl2_110 ),
inference(extensionality_resolution,[],[f9325,f6173]) ).
thf(f12055,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_19
| spl2_110 ),
inference(extensionality_resolution,[],[f10745,f6173]) ).
thf(f12056,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_19
| spl2_110 ),
inference(extensionality_resolution,[],[f10745,f6173]) ).
thf(f12061,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_19
| spl2_199 ),
inference(extensionality_resolution,[],[f10745,f9687]) ).
thf(f12067,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_19
| ~ spl2_92
| ~ spl2_183 ),
inference(constrained_superposition,[],[f11289,f10745]) ).
thf(f12081,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_19
| ~ spl2_224 ),
inference(constrained_superposition,[],[f7667,f10745]) ).
thf(f12083,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_19
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10147,f10745]) ).
thf(f12103,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_19
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f12083]) ).
thf(f12120,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_19
| ~ spl2_92
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f12067]) ).
thf(f12121,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_19
| ~ spl2_92
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f12120]) ).
thf(f12124,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_19
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f12081]) ).
thf(f12133,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_19
| ~ spl2_147
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f12103,f5712]) ).
thf(f12146,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_19
| ~ spl2_147
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f12124,f5712]) ).
thf(f12149,definition,
( spl2_316
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f12150,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f12149]) ).
thf(f12151,plain,
( spl2_310
| spl2_316
| ~ spl2_19
| ~ spl2_147
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f12133,f10146,f5711,f237,f12149,f11665]) ).
thf(f12159,definition,
( spl2_317
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).
thf(f12160,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f12159]) ).
thf(f12161,plain,
( spl2_317
| spl2_198
| ~ spl2_19
| ~ spl2_147
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f12146,f7666,f5711,f237,f6942,f12159]) ).
thf(f12162,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_286
| ~ spl2_310 ),
inference(constrained_superposition,[],[f10147,f11666]) ).
thf(f12167,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_310 ),
inference(constrained_superposition,[],[f26,f11666]) ).
thf(f12169,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_286
| ~ spl2_310 ),
inference(trivial_inequality_removal,[],[f12162]) ).
thf(f12172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_310 ),
inference(trivial_inequality_removal,[],[f12167]) ).
thf(f12174,plain,
( $false
| ~ spl2_104
| ~ spl2_286
| ~ spl2_310 ),
inference(forward_subsumption_resolution,[],[f12169,f4906]) ).
thf(f12175,plain,
( ~ spl2_104
| ~ spl2_286
| ~ spl2_310 ),
inference(avatar_contradiction_clause,[],[f12174]) ).
thf(f12176,plain,
( spl2_280
| spl2_1
| ~ spl2_310 ),
inference(avatar_split_clause,[],[f12172,f11665,f59,f10032]) ).
thf(f12178,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_270
| ~ spl2_317 ),
inference(constrained_superposition,[],[f12160,f9984]) ).
thf(f12191,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_270
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f12178]) ).
thf(f12197,plain,
( spl2_308
| ~ spl2_270
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f12191,f12159,f9983,f11653]) ).
thf(f12205,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_220
| ~ spl2_308 ),
inference(constrained_superposition,[],[f7531,f11654]) ).
thf(f12209,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_264
| ~ spl2_308 ),
inference(constrained_superposition,[],[f9723,f11654]) ).
thf(f12301,plain,
( spl2_164
| ~ spl2_264
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f12209,f11653,f9722,f6254]) ).
thf(f12309,plain,
( $false
| spl2_169
| ~ spl2_220
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f12205,f11651]) ).
thf(f12310,plain,
( spl2_169
| ~ spl2_220
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f12309]) ).
thf(f12316,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_19
| ~ spl2_92
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f12121,f40]) ).
thf(f12318,plain,
( $false
| ~ spl2_190
| ~ spl2_201
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f7208,f9842]) ).
thf(f12319,plain,
( ~ spl2_190
| ~ spl2_201
| ~ spl2_209 ),
inference(avatar_contradiction_clause,[],[f12318]) ).
thf(f12320,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_232
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f10597,f40]) ).
thf(f12323,plain,
( ~ spl2_13
| ~ spl2_172
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9819,f6743,f6282,f160]) ).
thf(f12324,plain,
( ~ spl2_5
| ~ spl2_185
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f9891,f6838,f6716,f92]) ).
thf(f12334,definition,
( spl2_320
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f12335,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f12334]) ).
thf(f12336,plain,
( spl2_11
| spl2_320
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f11485,f11470,f12334,f118]) ).
thf(f12339,definition,
( spl2_321
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f12340,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f12339]) ).
thf(f12345,definition,
( spl2_322
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f12346,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) ) )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f12345]) ).
thf(f12358,plain,
( ~ spl2_11
| spl2_215
| ~ spl2_15
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f9840,f6971,f185,f7512,f118]) ).
thf(f12363,definition,
( spl2_325
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f12364,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f12363]) ).
thf(f12370,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f10739,f40]) ).
thf(f12371,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_111 ),
inference(avatar_component_clause,[],[f4932]) ).
thf(f12374,definition,
( spl2_326
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_326])],[avatar_definition]) ).
thf(f12375,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f12374]) ).
thf(f12376,plain,
( spl2_168
| spl2_326
| ~ spl2_19
| ~ spl2_92
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f12316,f6708,f4383,f237,f12374,f6268]) ).
thf(f12377,plain,
( spl2_310
| spl2_292
| ~ spl2_111
| ~ spl2_232
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f12320,f10146,f7761,f4932,f10904,f11665]) ).
thf(f12386,plain,
( spl2_5
| spl2_40
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f12370,f237,f532,f92]) ).
thf(f12395,plain,
( ~ spl2_5
| spl2_209
| ~ spl2_2
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f8847,f6716,f62,f7207,f92]) ).
thf(f12434,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_209 ),
inference(constrained_superposition,[],[f186,f7208]) ).
thf(f12448,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f12434]) ).
thf(f12472,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_183 ),
inference(constrained_superposition,[],[f108,f6709]) ).
thf(f12480,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f12472]) ).
thf(f12486,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_155
| spl2_208 ),
inference(constrained_superposition,[],[f7201,f5954]) ).
thf(f12489,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_151
| spl2_208 ),
inference(constrained_superposition,[],[f7201,f5931]) ).
thf(f12493,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_151
| spl2_208 ),
inference(trivial_inequality_removal,[],[f12489]) ).
thf(f12495,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155
| spl2_208 ),
inference(trivial_inequality_removal,[],[f12486]) ).
thf(f12497,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_151
| spl2_208 ),
inference(forward_subsumption_resolution,[],[f12493,f40]) ).
thf(f12499,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_155
| spl2_199
| spl2_208 ),
inference(forward_subsumption_resolution,[],[f12495,f9687]) ).
thf(f12500,plain,
( spl2_202
| spl2_223
| ~ spl2_151
| spl2_208 ),
inference(avatar_split_clause,[],[f12497,f7200,f5930,f7636,f6974]) ).
thf(f12502,plain,
( $false
| ~ spl2_155
| spl2_199
| spl2_208 ),
inference(forward_subsumption_resolution,[],[f12499,f40]) ).
thf(f12503,plain,
( ~ spl2_155
| spl2_199
| spl2_208 ),
inference(avatar_contradiction_clause,[],[f12502]) ).
thf(f12505,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f7351,f80]) ).
thf(f12507,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f7351,f51]) ).
thf(f12509,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f7351,f24]) ).
thf(f12510,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f12509]) ).
thf(f12513,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f12505]) ).
thf(f12515,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f12507]) ).
thf(f12525,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_171 ),
inference(constrained_superposition,[],[f63,f6279]) ).
thf(f12530,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f12525]) ).
thf(f12535,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_220
| ~ spl2_316 ),
inference(constrained_superposition,[],[f12150,f7531]) ).
thf(f12546,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f12535]) ).
thf(f12547,plain,
( spl2_308
| ~ spl2_220
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f12546,f12149,f7530,f11653]) ).
thf(f12578,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f79,f10905]) ).
thf(f12582,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f90,f10905]) ).
thf(f12625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_292 ),
inference(duplicate_literal_removal,[],[f12582]) ).
thf(f12630,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_41
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f12578,f724]) ).
thf(f12639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_41
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f12625,f724]) ).
thf(f12650,plain,
( $false
| spl2_18
| spl2_41
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f12630,f220]) ).
thf(f12651,plain,
( spl2_18
| spl2_41
| ~ spl2_292 ),
inference(avatar_contradiction_clause,[],[f12650]) ).
thf(f12656,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f12639,f10904,f618,f182,f182]) ).
thf(f12682,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_171
| ~ spl2_197 ),
inference(constrained_superposition,[],[f6937,f6279]) ).
thf(f12685,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150
| ~ spl2_197 ),
inference(constrained_superposition,[],[f6937,f5744]) ).
thf(f12688,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_171
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f12682]) ).
thf(f12691,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f12685]) ).
thf(f12697,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_164 ),
inference(avatar_component_clause,[],[f6254]) ).
thf(f12698,plain,
( ~ spl2_164
| spl2_215
| spl2_202
| spl2_223
| ~ spl2_150
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f12691,f6936,f5743,f7636,f6974,f7512,f6254]) ).
thf(f12700,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150
| spl2_164 ),
inference(constrained_superposition,[],[f12697,f5744]) ).
thf(f12704,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150
| spl2_164 ),
inference(trivial_inequality_removal,[],[f12700]) ).
thf(f12805,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150
| spl2_164
| spl2_199 ),
inference(forward_subsumption_resolution,[],[f12704,f9687]) ).
thf(f12807,plain,
( spl2_185
| spl2_262 ),
inference(avatar_split_clause,[],[f9497,f9484,f6716]) ).
thf(f12808,plain,
( ~ spl2_135
| spl2_185
| ~ spl2_15
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f9022,f6257,f185,f6716,f5658]) ).
thf(f12812,plain,
( spl2_185
| spl2_261
| ~ spl2_150
| spl2_164
| spl2_199 ),
inference(avatar_split_clause,[],[f12805,f6963,f6254,f5743,f9424,f6716]) ).
thf(f12815,plain,
( ~ spl2_249
| spl2_185
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f9217,f6696,f6716,f8041]) ).
thf(f12820,plain,
( ~ spl2_168
| ~ spl2_9
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f12480,f6708,f107,f6268]) ).
thf(f12822,plain,
( spl2_201
| ~ spl2_168
| ~ spl2_2
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f12530,f6278,f62,f6268,f6971]) ).
thf(f12823,plain,
( spl2_185
| ~ spl2_39
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f12513,f7350,f529,f6716]) ).
thf(f12825,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_131 ),
inference(avatar_component_clause,[],[f5641]) ).
thf(f12831,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| spl2_5
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4219,f10731]) ).
thf(f12835,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_5
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f12831]) ).
thf(f12837,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_5
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f12835,f40]) ).
thf(f12838,plain,
( spl2_232
| spl2_5
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f12837,f237,f92,f7761]) ).
thf(f12841,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_107 ),
inference(constrained_superposition,[],[f108,f4917]) ).
thf(f12842,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_107 ),
inference(constrained_superposition,[],[f63,f4917]) ).
thf(f12844,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f12841]) ).
thf(f12846,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f12842]) ).
thf(f12847,plain,
( $false
| ~ spl2_9
| ~ spl2_107
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f12844,f4921]) ).
thf(f12848,plain,
( ~ spl2_9
| ~ spl2_107
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f12847]) ).
thf(f12850,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_107
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f12846,f4921]) ).
thf(f12854,plain,
( spl2_11
| ~ spl2_2
| ~ spl2_107
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f12850,f4920,f4916,f62,f118]) ).
thf(f12855,plain,
( spl2_185
| ~ spl2_11
| ~ spl2_15
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f12448,f7207,f185,f118,f6716]) ).
thf(f12857,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_21 ),
inference(constrained_superposition,[],[f245,f119]) ).
thf(f12870,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f12857]) ).
thf(f12901,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_19
| spl2_168 ),
inference(constrained_superposition,[],[f9791,f10731]) ).
thf(f12903,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| spl2_168 ),
inference(trivial_inequality_removal,[],[f12901]) ).
thf(f12906,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_19
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f12903,f40]) ).
thf(f12909,plain,
( spl2_257
| ~ spl2_19
| spl2_168 ),
inference(avatar_split_clause,[],[f12906,f6268,f237,f8823]) ).
thf(f12921,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_154
| ~ spl2_191 ),
inference(constrained_superposition,[],[f5947,f6814]) ).
thf(f12923,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_154
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f12921]) ).
thf(f12925,plain,
( spl2_223
| spl2_202
| ~ spl2_154
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f12923,f6813,f5946,f6974,f7636]) ).
thf(f12935,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f99,f51]) ).
thf(f12937,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f99,f24]) ).
thf(f12938,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f12935]) ).
thf(f12940,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f12937]) ).
thf(f12949,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f5271,f24]) ).
thf(f12951,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f12949]) ).
thf(f13028,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150
| ~ spl2_205 ),
inference(constrained_superposition,[],[f7136,f5744]) ).
thf(f13033,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f13028]) ).
thf(f13035,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_108
| ~ spl2_150
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f13033,f4921]) ).
thf(f13036,plain,
( spl2_215
| spl2_202
| spl2_223
| ~ spl2_108
| ~ spl2_150
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f13035,f7135,f5743,f4920,f7636,f6974,f7512]) ).
thf(f13136,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_125
| spl2_168 ),
inference(constrained_superposition,[],[f9791,f5350]) ).
thf(f13138,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_125
| spl2_168 ),
inference(trivial_inequality_removal,[],[f13136]) ).
thf(f13140,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_125
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f13138,f40]) ).
thf(f13141,plain,
( $false
| spl2_110
| ~ spl2_125
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f13140,f6173]) ).
thf(f13142,plain,
( spl2_110
| ~ spl2_125
| spl2_168 ),
inference(avatar_contradiction_clause,[],[f13141]) ).
thf(f13182,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f12940,f24]) ).
thf(f13184,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f13182]) ).
thf(f13185,plain,
( spl2_322
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f13184,f98,f12345]) ).
thf(f13186,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_11
| ~ spl2_21 ),
inference(constrained_superposition,[],[f12870,f24]) ).
thf(f13188,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f13186]) ).
thf(f13190,plain,
( spl2_232
| ~ spl2_11
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f13188,f244,f118,f7761]) ).
thf(f13224,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_197
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6937,f7762]) ).
thf(f13228,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f26,f7762]) ).
thf(f13232,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_197
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f13224]) ).
thf(f13243,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f13228]) ).
thf(f13244,plain,
( spl2_8
| spl2_92
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f13243,f7761,f4383,f104]) ).
thf(f13252,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f12938,f50]) ).
thf(f13255,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f13252]) ).
thf(f13265,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f12951,f24]) ).
thf(f13267,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f13265]) ).
thf(f13333,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_208
| ~ spl2_247 ),
inference(constrained_superposition,[],[f7201,f7916]) ).
thf(f13337,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_208
| ~ spl2_247 ),
inference(trivial_inequality_removal,[],[f13333]) ).
thf(f13363,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_123
| spl2_164 ),
inference(constrained_superposition,[],[f12697,f5275]) ).
thf(f13382,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_123
| spl2_164 ),
inference(trivial_inequality_removal,[],[f13363]) ).
thf(f13388,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_123
| spl2_164 ),
inference(forward_subsumption_resolution,[],[f13382,f40]) ).
thf(f13392,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| spl2_164
| spl2_172 ),
inference(forward_subsumption_resolution,[],[f13388,f9478]) ).
thf(f13394,plain,
( spl2_261
| ~ spl2_123
| spl2_164
| spl2_172 ),
inference(avatar_split_clause,[],[f13392,f6282,f6254,f5274,f9424]) ).
thf(f13402,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| spl2_169 ),
inference(constrained_superposition,[],[f11651,f13267]) ).
thf(f13403,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_122
| spl2_169 ),
inference(trivial_inequality_removal,[],[f13402]) ).
thf(f13408,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_122
| spl2_169 ),
inference(forward_subsumption_resolution,[],[f13403,f40]) ).
thf(f13409,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| spl2_168
| spl2_169 ),
inference(forward_subsumption_resolution,[],[f13408,f9791]) ).
thf(f13410,plain,
( spl2_261
| ~ spl2_122
| spl2_168
| spl2_169 ),
inference(avatar_split_clause,[],[f13409,f6271,f6268,f5270,f9424]) ).
thf(f13539,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_92
| ~ spl2_183 ),
inference(constrained_superposition,[],[f4384,f6709]) ).
thf(f13552,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_92
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f13539]) ).
thf(f13576,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_304 ),
inference(constrained_superposition,[],[f11471,f13255]) ).
thf(f13588,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f13576]) ).
thf(f13590,plain,
( spl2_321
| ~ spl2_7
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f13588,f11470,f98,f12339]) ).
thf(f13606,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f12510,f24]) ).
thf(f13607,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f13606]) ).
thf(f13609,plain,
( spl2_325
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f13607,f7350,f12363]) ).
thf(f13714,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257 ),
inference(constrained_superposition,[],[f13552,f8824]) ).
thf(f13728,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_43
| ~ spl2_257 ),
inference(constrained_superposition,[],[f721,f8824]) ).
thf(f13742,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_43
| ~ spl2_257 ),
inference(duplicate_literal_removal,[],[f13728]) ).
thf(f13743,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_43
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f13742]) ).
thf(f13747,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257 ),
inference(duplicate_literal_removal,[],[f13714]) ).
thf(f13748,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f13747]) ).
thf(f13751,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_43
| ~ spl2_183
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f13743,f6709]) ).
thf(f13754,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_43
| ~ spl2_183
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f13751,f40]) ).
thf(f13777,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257
| ~ spl2_263 ),
inference(constrained_superposition,[],[f9720,f13748]) ).
thf(f13780,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_92
| spl2_168
| ~ spl2_183
| ~ spl2_257 ),
inference(constrained_superposition,[],[f9791,f13748]) ).
thf(f14349,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_43
| ~ spl2_183
| spl2_199
| ~ spl2_257 ),
inference(constrained_superposition,[],[f9687,f13754]) ).
thf(f15496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257
| ~ spl2_263 ),
inference(constrained_superposition,[],[f29,f13777]) ).
thf(f15505,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f15496]) ).
thf(f15525,definition,
( spl2_347
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f15526,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f15525]) ).
thf(f15527,plain,
( spl2_347
| spl2_146
| ~ spl2_92
| ~ spl2_183
| ~ spl2_257
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f15505,f9719,f8823,f6708,f4383,f5706,f15525]) ).
thf(f16182,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_186
| ~ spl2_325 ),
inference(constrained_superposition,[],[f6744,f12364]) ).
thf(f16199,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_186
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f16182]) ).
thf(f16210,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f16199,f7916]) ).
thf(f16212,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(constrained_superposition,[],[f16199,f13255]) ).
thf(f16216,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(constrained_superposition,[],[f16199,f12346]) ).
thf(f16218,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f16212]) ).
thf(f16219,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f16218]) ).
thf(f16222,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f16216]) ).
thf(f16223,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f16222]) ).
thf(f16233,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f16210]) ).
thf(f16234,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f16233]) ).
thf(f16235,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f16219,f40]) ).
thf(f16238,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f16234,f40]) ).
thf(f16349,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(constrained_superposition,[],[f48,f16223]) ).
thf(f16492,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_320
| ~ spl2_326 ),
inference(constrained_superposition,[],[f12335,f12375]) ).
thf(f16517,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_320
| ~ spl2_326 ),
inference(duplicate_literal_removal,[],[f16492]) ).
thf(f16518,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_320
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f16517]) ).
thf(f16593,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(constrained_superposition,[],[f6744,f16235]) ).
thf(f16778,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ X1 ) )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(constrained_superposition,[],[f48,f16235]) ).
thf(f17408,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(equality_resolution,[],[f16349]) ).
thf(f17464,definition,
( spl2_355
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_355])],[avatar_definition]) ).
thf(f17465,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_355 ),
inference(avatar_component_clause,[],[f17464]) ).
thf(f18062,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f16778,f16238]) ).
thf(f18071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f6697,f16238]) ).
thf(f18083,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_186
| ~ spl2_219
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f7528,f16238]) ).
thf(f18088,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f9687,f16238]) ).
thf(f18097,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| spl2_169
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f11651,f16238]) ).
thf(f18285,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f18062]) ).
thf(f18320,plain,
( spl2_239
| ~ spl2_7
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f18285,f12363,f7915,f6743,f98,f7801]) ).
thf(f18338,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_147
| spl2_169
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f18097,f5712]) ).
thf(f18920,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f18071,f330]) ).
thf(f18929,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f18920]) ).
thf(f18938,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f18929,f18338]) ).
thf(f18973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f18938,f16235]) ).
thf(f18988,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f18973]) ).
thf(f19455,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_92
| ~ spl2_183
| ~ spl2_186
| ~ spl2_219
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325 ),
inference(constrained_superposition,[],[f18083,f13748]) ).
thf(f19498,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_92
| spl2_168
| ~ spl2_183
| ~ spl2_186
| ~ spl2_219
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f19455,f13780]) ).
thf(f19499,plain,
( spl2_347
| ~ spl2_92
| spl2_168
| ~ spl2_183
| ~ spl2_186
| ~ spl2_219
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f19498,f12363,f8823,f7915,f7527,f6743,f6708,f6268,f4383,f15525]) ).
thf(f21797,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_186
| ~ spl2_239
| ~ spl2_247
| ~ spl2_325 ),
inference(constrained_superposition,[],[f7802,f16238]) ).
thf(f21799,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_186
| ~ spl2_239
| ~ spl2_322
| ~ spl2_325 ),
inference(constrained_superposition,[],[f7802,f16223]) ).
thf(f21803,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_43
| ~ spl2_183
| ~ spl2_239
| ~ spl2_257 ),
inference(constrained_superposition,[],[f7802,f13754]) ).
thf(f21814,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X0 ) )
| ~ spl2_186
| ~ spl2_239
| ~ spl2_322
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f21799]) ).
thf(f21816,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 ) )
| ~ spl2_186
| ~ spl2_239
| ~ spl2_247
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f21797]) ).
thf(f21822,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_43
| spl2_168
| ~ spl2_183
| ~ spl2_239
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f21803,f9791]) ).
thf(f21872,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X3 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( sK1 = X3 )
| ( ( sK0 @ X0 )
= X3 )
| ( $true != $true ) )
| ~ spl2_43
| spl2_168
| ~ spl2_183
| ~ spl2_239
| ~ spl2_257 ),
inference(constrained_superposition,[],[f26,f21822]) ).
thf(f21888,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ X0 )
= X3 )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( sK1 = X3 )
| ( ( b @ sK1 @ ( sK0 @ X3 ) )
= $true ) )
| ~ spl2_43
| spl2_168
| ~ spl2_183
| ~ spl2_239
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f21872]) ).
thf(f21901,plain,
( spl2_94
| spl2_1
| ~ spl2_43
| spl2_168
| ~ spl2_183
| ~ spl2_239
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f21888,f8823,f7801,f6708,f6268,f720,f59,f4534]) ).
thf(f22929,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325 ),
inference(constrained_superposition,[],[f18988,f16223]) ).
thf(f24952,plain,
( spl2_355
| ~ spl2_7
| ~ spl2_186
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f16593,f12363,f6743,f98,f17464]) ).
thf(f25261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_322
| ~ spl2_355 ),
inference(constrained_superposition,[],[f17465,f12346]) ).
thf(f25276,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X1 ) @ X0 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_322
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f25261]) ).
thf(f28191,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_143
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(constrained_superposition,[],[f5692,f16223]) ).
thf(f28205,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_143
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f28191]) ).
thf(f28214,plain,
( spl2_24
| ~ spl2_143
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f28205,f12363,f12345,f6743,f5691,f275]) ).
thf(f28742,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f12515,f50]) ).
thf(f28744,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f28742]) ).
thf(f32994,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_212
| ~ spl2_246 ),
inference(constrained_superposition,[],[f7912,f28744]) ).
thf(f33089,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_212
| ~ spl2_246 ),
inference(duplicate_literal_removal,[],[f32994]) ).
thf(f33090,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_212
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f33089]) ).
thf(f33141,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_212
| ~ spl2_321 ),
inference(constrained_superposition,[],[f12340,f28744]) ).
thf(f33236,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_212
| ~ spl2_321 ),
inference(duplicate_literal_removal,[],[f33141]) ).
thf(f33237,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_212
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f33236]) ).
thf(f33262,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_183
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11598,f6709]) ).
thf(f33289,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_183
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f33262]) ).
thf(f33359,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_183
| ~ spl2_306 ),
inference(constrained_superposition,[],[f33289,f6279]) ).
thf(f33360,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_265
| ~ spl2_306 ),
inference(constrained_superposition,[],[f33289,f9727]) ).
thf(f33381,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_183
| ~ spl2_265
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f33360]) ).
thf(f33390,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_183
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f33359]) ).
thf(f33408,plain,
( spl2_292
| spl2_284
| ~ spl2_183
| ~ spl2_265
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f33381,f11597,f9726,f6708,f10111,f10904]) ).
thf(f33415,plain,
( spl2_223
| spl2_202
| ~ spl2_171
| ~ spl2_183
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f33390,f11597,f6708,f6278,f6974,f7636]) ).
thf(f33982,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X1 ) )
= sK1 )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325 ),
inference(constrained_superposition,[],[f22929,f81]) ).
thf(f34016,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ X1 ) )
= sK1 ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f33982]) ).
thf(f34032,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f34016,f25276]) ).
thf(f34041,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ X1 ) )
= sK1 ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f34032,f18088]) ).
thf(f34045,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( X0 = X1 )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f34041,f40]) ).
thf(f34047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f34045,f40]) ).
thf(f34060,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(extensionality_resolution,[],[f34047,f48]) ).
thf(f34461,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_147
| spl2_169
| ~ spl2_180
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(extensionality_resolution,[],[f34060,f40]) ).
thf(f34551,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ~ spl2_7
| ~ spl2_147
| spl2_168
| spl2_169
| ~ spl2_180
| ~ spl2_186
| spl2_199
| ~ spl2_247
| ~ spl2_322
| ~ spl2_325
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f34461,f9791]) ).
thf(f38202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f11310,f50]) ).
thf(f38218,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_209 ),
inference(constrained_superposition,[],[f11310,f7208]) ).
thf(f38228,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f38202]) ).
thf(f38231,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_21
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f38218]) ).
thf(f38497,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_111
| ~ spl2_302 ),
inference(constrained_superposition,[],[f11023,f4933]) ).
thf(f38563,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_111
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f38497]) ).
thf(f38576,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111
| ~ spl2_212
| ~ spl2_302 ),
inference(constrained_superposition,[],[f38563,f28744]) ).
thf(f38591,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_212
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f38576]) ).
thf(f38606,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| spl2_172
| ~ spl2_212
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f38591,f9478]) ).
thf(f38614,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111
| spl2_172
| ~ spl2_212
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f38606,f40]) ).
thf(f38619,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111
| spl2_172
| ~ spl2_212
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f38614,f40]) ).
thf(f38622,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_5
| ~ spl2_111
| spl2_172
| ~ spl2_212
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f38619,f4219]) ).
thf(f38624,plain,
( spl2_261
| spl2_5
| ~ spl2_111
| spl2_172
| ~ spl2_212
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f38622,f11022,f7350,f6282,f4932,f92,f9424]) ).
thf(f39025,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ X1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f15526,f81]) ).
thf(f39038,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( r @ ( sK0 @ X1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f39025]) ).
thf(f39053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_147
| spl2_169
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f39038,f18338]) ).
thf(f39086,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) )
| ~ spl2_147
| spl2_169
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325
| ~ spl2_347 ),
inference(constrained_superposition,[],[f39053,f51]) ).
thf(f39092,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_147
| spl2_169
| ~ spl2_186
| ~ spl2_247
| ~ spl2_325
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f39086]) ).
thf(f39215,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147
| spl2_169
| ~ spl2_186
| ~ spl2_205
| ~ spl2_247
| ~ spl2_325
| ~ spl2_347 ),
inference(constrained_superposition,[],[f7136,f39092]) ).
thf(f39267,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_147
| spl2_169
| ~ spl2_186
| ~ spl2_205
| ~ spl2_247
| ~ spl2_325
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f39215]) ).
thf(f39334,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_43
| ~ spl2_147
| spl2_169
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f39267,f14349]) ).
thf(f39370,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_43
| ~ spl2_147
| spl2_169
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f39334,f40]) ).
thf(f39381,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_43
| ~ spl2_147
| spl2_169
| spl2_172
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f39370,f9478]) ).
thf(f39398,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(constrained_superposition,[],[f39381,f34551]) ).
thf(f39470,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f39398]) ).
thf(f39511,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f39470,f40]) ).
thf(f40259,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| ~ spl2_167
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(constrained_superposition,[],[f6265,f39511]) ).
thf(f40549,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_204
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(constrained_superposition,[],[f7094,f39511]) ).
thf(f40978,plain,
( $false
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| ~ spl2_167
| spl2_168
| spl2_169
| ~ spl2_171
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| ~ spl2_197
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f40259,f12688]) ).
thf(f40979,plain,
( ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| ~ spl2_167
| spl2_168
| spl2_169
| ~ spl2_171
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| ~ spl2_197
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f40978]) ).
thf(f41088,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_204
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f40549,f9791]) ).
thf(f41293,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_204
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f41088,f40]) ).
thf(f41367,plain,
( spl2_130
| ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_204
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f41293,f17464,f15525,f12363,f12345,f8823,f7915,f7135,f7093,f6963,f6743,f6708,f6696,f6282,f6271,f6268,f5711,f720,f98,f5453]) ).
thf(f41502,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f38228,f40]) ).
thf(f41508,plain,
( spl2_204
| spl2_143
| ~ spl2_186
| ~ spl2_239
| ~ spl2_247
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f21816,f12363,f7915,f7801,f6743,f5691,f7093]) ).
thf(f41557,plain,
( spl2_191
| spl2_208
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f13337,f7915,f7200,f6813]) ).
thf(f41566,plain,
( spl2_204
| spl2_24
| ~ spl2_186
| ~ spl2_239
| ~ spl2_322
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f21814,f12363,f12345,f7801,f6743,f275,f7093]) ).
thf(f41760,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_197
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f13232,f40]) ).
thf(f41878,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_320
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f16518,f40]) ).
thf(f41898,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f17408,f40]) ).
thf(f41997,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_21
| spl2_199
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f38231,f9687]) ).
thf(f42013,definition,
( spl2_512
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_512])],[avatar_definition]) ).
thf(f42014,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_512 ),
inference(avatar_component_clause,[],[f42013]) ).
thf(f42083,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_270 ),
inference(avatar_component_clause,[],[f9983]) ).
thf(f42125,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_212
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f33090,f40]) ).
thf(f42199,plain,
( spl2_64
| spl2_5
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f41502,f244,f92,f2087]) ).
thf(f42233,definition,
( spl2_526
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_526])],[avatar_definition]) ).
thf(f42234,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_526 ),
inference(avatar_component_clause,[],[f42233]) ).
thf(f42332,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_185 ),
inference(avatar_component_clause,[],[f6716]) ).
thf(f42333,plain,
( spl2_198
| spl2_202
| ~ spl2_185
| ~ spl2_197
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f41760,f7761,f6936,f6716,f6974,f6942]) ).
thf(f42405,plain,
( spl2_526
| ~ spl2_320
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f41878,f12374,f12334,f42233]) ).
thf(f42414,plain,
( spl2_526
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f41898,f12363,f12345,f6743,f42233]) ).
thf(f42465,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| spl2_199
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f41997,f40]) ).
thf(f42536,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_172
| ~ spl2_212
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f42125,f9478]) ).
thf(f42713,plain,
( spl2_13
| spl2_185
| ~ spl2_21
| spl2_199
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f42465,f7207,f6963,f244,f6716,f160]) ).
thf(f42752,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_172
| spl2_199
| ~ spl2_212
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f42536,f9687]) ).
thf(f42841,plain,
( spl2_204
| spl2_172
| spl2_199
| ~ spl2_212
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f42752,f7911,f7350,f6963,f6282,f7093]) ).
thf(f42877,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_168
| ~ spl2_212
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f33237,f9791]) ).
thf(f42882,plain,
( spl2_169
| spl2_104
| ~ spl2_218
| ~ spl2_23
| spl2_110 ),
inference(avatar_split_clause,[],[f11898,f4928,f251,f7523,f4905,f6271]) ).
thf(f42900,plain,
( spl2_104
| spl2_220
| spl2_191
| ~ spl2_19
| spl2_199 ),
inference(avatar_split_clause,[],[f12061,f6963,f237,f6813,f7530,f4905]) ).
thf(f42911,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_168
| spl2_199
| ~ spl2_212
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f42877,f9687]) ).
thf(f42932,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| spl2_168
| spl2_199
| ~ spl2_212
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f42911,f40]) ).
thf(f42943,plain,
( spl2_204
| spl2_168
| spl2_199
| ~ spl2_212
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f42932,f12339,f7350,f6963,f6268,f7093]) ).
thf(f42951,plain,
( ! [X0: $i,X1: $i] : ( X0 = X1 )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f8758,f8758]) ).
thf(f43214,plain,
( spl2_68
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f42951,f8757,f2415]) ).
thf(f43313,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_121
| ~ spl2_326 ),
inference(constrained_superposition,[],[f5121,f12375]) ).
thf(f43316,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_121
| ~ spl2_257 ),
inference(constrained_superposition,[],[f5121,f8824]) ).
thf(f43320,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_121
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f43316]) ).
thf(f43321,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_121
| ~ spl2_326 ),
inference(duplicate_literal_removal,[],[f43313]) ).
thf(f43322,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_121
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f43321]) ).
thf(f43328,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_121
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f43320,f40]) ).
thf(f43329,plain,
( $false
| spl2_110
| ~ spl2_121
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f43322,f6173]) ).
thf(f43330,plain,
( spl2_110
| ~ spl2_121
| ~ spl2_326 ),
inference(avatar_contradiction_clause,[],[f43329]) ).
thf(f43336,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_121
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f43328,f5121]) ).
thf(f43337,plain,
( spl2_261
| ~ spl2_121
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f43336,f8823,f5120,f9424]) ).
thf(f43361,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_152 ),
inference(constrained_superposition,[],[f325,f5934]) ).
thf(f43368,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f43361]) ).
thf(f43379,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_121
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f43368,f5121]) ).
thf(f43383,plain,
( spl2_255
| spl2_123
| ~ spl2_121
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f43379,f5933,f5120,f5274,f8757]) ).
thf(f43386,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_183
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6709,f9425]) ).
thf(f43410,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_261 ),
inference(constrained_superposition,[],[f4886,f9425]) ).
thf(f43472,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_261 ),
inference(duplicate_literal_removal,[],[f43410]) ).
thf(f43494,plain,
( spl2_107
| ~ spl2_183
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f43386,f9424,f6708,f4916]) ).
thf(f43501,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_121
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f43472,f5121]) ).
thf(f43517,plain,
( spl2_146
| spl2_146
| ~ spl2_121
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f43501,f9424,f5120,f5706,f5706]) ).
thf(f43585,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f26,f6717]) ).
thf(f43586,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f43585]) ).
thf(f43589,plain,
( spl2_8
| spl2_186
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f43586,f6716,f6743,f104]) ).
thf(f43598,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f26,f6814]) ).
thf(f43599,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f43598]) ).
thf(f43609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f26,f6943]) ).
thf(f43611,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f43609]) ).
thf(f43647,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_108 ),
inference(avatar_component_clause,[],[f4920]) ).
thf(f43650,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_19
| spl2_108 ),
inference(constrained_superposition,[],[f43647,f10731]) ).
thf(f43652,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_19
| spl2_108 ),
inference(trivial_inequality_removal,[],[f43650]) ).
thf(f43655,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_19
| spl2_108 ),
inference(forward_subsumption_resolution,[],[f43652,f40]) ).
thf(f43658,plain,
( spl2_123
| ~ spl2_19
| spl2_108 ),
inference(avatar_split_clause,[],[f43655,f4920,f237,f5274]) ).
thf(f43689,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f5271,f80]) ).
thf(f43691,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f5271,f51]) ).
thf(f43694,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f5271,f24]) ).
thf(f43696,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f43694]) ).
thf(f43697,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f43689]) ).
thf(f43702,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f43691]) ).
thf(f43747,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_111
| ~ spl2_114 ),
inference(constrained_superposition,[],[f12371,f4944]) ).
thf(f43748,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| spl2_104
| ~ spl2_114 ),
inference(constrained_superposition,[],[f9795,f4944]) ).
thf(f43751,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_104
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f43748]) ).
thf(f43752,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_111
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f43747]) ).
thf(f43753,plain,
( $false
| spl2_104
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f43751,f40]) ).
thf(f43754,plain,
( spl2_104
| ~ spl2_114 ),
inference(avatar_contradiction_clause,[],[f43753]) ).
thf(f43755,plain,
( $false
| spl2_110
| spl2_111
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f43752,f6173]) ).
thf(f43756,plain,
( spl2_110
| spl2_111
| ~ spl2_114 ),
inference(avatar_contradiction_clause,[],[f43755]) ).
thf(f43788,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f76,f6262]) ).
thf(f43794,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_21
| ~ spl2_166 ),
inference(constrained_superposition,[],[f11310,f6262]) ).
thf(f43799,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f43788]) ).
thf(f43816,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_21
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f43794]) ).
thf(f43859,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_19
| spl2_270 ),
inference(constrained_superposition,[],[f42083,f10745]) ).
thf(f43862,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_19
| spl2_270 ),
inference(trivial_inequality_removal,[],[f43859]) ).
thf(f43867,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6744,f49]) ).
thf(f43869,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6744,f6255]) ).
thf(f43870,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_186
| ~ spl2_212 ),
inference(constrained_superposition,[],[f6744,f28744]) ).
thf(f43872,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_19
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6744,f10745]) ).
thf(f43875,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_164
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f43869]) ).
thf(f43876,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_19
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f43872]) ).
thf(f43880,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_186
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f43870]) ).
thf(f43881,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f43867]) ).
thf(f43883,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_186
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f43880,f108]) ).
thf(f43894,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_212
| ~ spl2_267 ),
inference(constrained_superposition,[],[f7351,f9734]) ).
thf(f43911,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_212
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f43894]) ).
thf(f43939,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_212
| ~ spl2_267 ),
inference(constrained_superposition,[],[f43911,f50]) ).
thf(f43942,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_212
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f43939]) ).
thf(f43949,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_225
| ~ spl2_325 ),
inference(constrained_superposition,[],[f7716,f12364]) ).
thf(f43956,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_225
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f43949]) ).
thf(f43961,plain,
( spl2_512
| ~ spl2_225
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f43956,f12363,f7715,f42013]) ).
thf(f43997,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_272 ),
inference(constrained_superposition,[],[f9991,f80]) ).
thf(f44006,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f43997]) ).
thf(f44036,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_108
| ~ spl2_526 ),
inference(constrained_superposition,[],[f43647,f42234]) ).
thf(f44038,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_108
| ~ spl2_526 ),
inference(duplicate_literal_removal,[],[f44036]) ).
thf(f44039,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_108
| ~ spl2_526 ),
inference(trivial_inequality_removal,[],[f44038]) ).
thf(f44041,plain,
( $false
| spl2_108
| spl2_110
| ~ spl2_526 ),
inference(forward_subsumption_resolution,[],[f44039,f6173]) ).
thf(f44042,plain,
( spl2_108
| spl2_110
| ~ spl2_526 ),
inference(avatar_contradiction_clause,[],[f44041]) ).
thf(f44115,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f43696,f24]) ).
thf(f44116,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f44115]) ).
thf(f44125,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6744,f5275]) ).
thf(f44128,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f26,f5275]) ).
thf(f44133,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f44128]) ).
thf(f44137,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f44125]) ).
thf(f44150,plain,
( spl2_121
| spl2_302
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f44133,f5274,f11022,f5120]) ).
thf(f44155,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_122
| spl2_270 ),
inference(constrained_superposition,[],[f42083,f44116]) ).
thf(f44158,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_122
| spl2_270 ),
inference(trivial_inequality_removal,[],[f44155]) ).
thf(f44166,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f43702,f50]) ).
thf(f44169,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f44166]) ).
thf(f44171,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_122
| spl2_270 ),
inference(constrained_superposition,[],[f42083,f44169]) ).
thf(f44175,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_122
| spl2_270 ),
inference(trivial_inequality_removal,[],[f44171]) ).
thf(f44357,definition,
( spl2_550
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_550])],[avatar_definition]) ).
thf(f44358,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_550 ),
inference(avatar_component_clause,[],[f44357]) ).
thf(f44359,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_261 ),
inference(avatar_component_clause,[],[f9424]) ).
thf(f44366,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_19
| spl2_261 ),
inference(extensionality_resolution,[],[f10745,f44359]) ).
thf(f44367,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_19
| spl2_261 ),
inference(extensionality_resolution,[],[f10745,f44359]) ).
thf(f44380,definition,
( spl2_551
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_551])],[avatar_definition]) ).
thf(f44381,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_551 ),
inference(avatar_component_clause,[],[f44380]) ).
thf(f44383,definition,
( spl2_552
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_552])],[avatar_definition]) ).
thf(f44384,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_552 ),
inference(avatar_component_clause,[],[f44383]) ).
thf(f44387,definition,
( spl2_553
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_553])],[avatar_definition]) ).
thf(f44388,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_553 ),
inference(avatar_component_clause,[],[f44387]) ).
thf(f44390,definition,
( spl2_554
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_554])],[avatar_definition]) ).
thf(f44391,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_554 ),
inference(avatar_component_clause,[],[f44390]) ).
thf(f44398,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_551 ),
inference(constrained_superposition,[],[f63,f44381]) ).
thf(f44400,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_551 ),
inference(trivial_inequality_removal,[],[f44398]) ).
thf(f44406,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_273
| ~ spl2_551 ),
inference(forward_subsumption_resolution,[],[f44400,f9995]) ).
thf(f44414,plain,
( spl2_201
| ~ spl2_2
| ~ spl2_273
| ~ spl2_551 ),
inference(avatar_split_clause,[],[f44406,f44380,f9994,f62,f6971]) ).
thf(f44423,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_221
| ~ spl2_552 ),
inference(constrained_superposition,[],[f7535,f44384]) ).
thf(f44426,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_552 ),
inference(constrained_superposition,[],[f186,f44384]) ).
thf(f44437,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_21
| ~ spl2_552 ),
inference(constrained_superposition,[],[f11310,f44384]) ).
thf(f44439,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f44437]) ).
thf(f44454,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_15
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f44426]) ).
thf(f44456,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_221
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f44423]) ).
thf(f44459,plain,
( spl2_202
| spl2_292
| spl2_275
| spl2_215
| ~ spl2_21
| ~ spl2_552 ),
inference(avatar_split_clause,[],[f44439,f44383,f244,f7512,f10001,f10904,f6974]) ).
thf(f44471,definition,
( spl2_558
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_558])],[avatar_definition]) ).
thf(f44472,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_558 ),
inference(avatar_component_clause,[],[f44471]) ).
thf(f44473,plain,
( ~ spl2_558
| spl2_215
| ~ spl2_15
| ~ spl2_552 ),
inference(avatar_split_clause,[],[f44454,f44383,f185,f7512,f44471]) ).
thf(f44474,plain,
( ~ spl2_558
| ~ spl2_221
| ~ spl2_552 ),
inference(avatar_split_clause,[],[f44456,f44383,f7534,f44471]) ).
thf(f44476,plain,
( spl2_273
| ~ spl2_212
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f43942,f9733,f7350,f9994]) ).
thf(f44477,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_19
| spl2_104
| spl2_270 ),
inference(forward_subsumption_resolution,[],[f43862,f9795]) ).
thf(f44478,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| spl2_270 ),
inference(forward_subsumption_resolution,[],[f44158,f40]) ).
thf(f44483,plain,
( spl2_273
| spl2_202
| ~ spl2_122
| spl2_270 ),
inference(avatar_split_clause,[],[f44175,f9983,f5270,f6974,f9994]) ).
thf(f44485,plain,
( spl2_202
| spl2_273
| ~ spl2_19
| spl2_104
| spl2_270 ),
inference(avatar_split_clause,[],[f44477,f9983,f4905,f237,f9994,f6974]) ).
thf(f44486,plain,
( spl2_273
| spl2_284
| ~ spl2_122
| spl2_270 ),
inference(avatar_split_clause,[],[f44478,f9983,f5270,f10111,f9994]) ).
thf(f44496,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_186
| ~ spl2_212
| ~ spl2_275 ),
inference(constrained_superposition,[],[f43883,f10002]) ).
thf(f44499,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_275 ),
inference(constrained_superposition,[],[f108,f10002]) ).
thf(f44500,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_275 ),
inference(constrained_superposition,[],[f63,f10002]) ).
thf(f44501,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f26,f10002]) ).
thf(f44503,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f44501]) ).
thf(f44504,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f44499]) ).
thf(f44505,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f44500]) ).
thf(f44507,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_186
| ~ spl2_212
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f44496]) ).
thf(f44509,plain,
( spl2_279
| spl2_288
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f44503,f10001,f10220,f10029]) ).
thf(f44510,plain,
( $false
| ~ spl2_9
| ~ spl2_273
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f44504,f9995]) ).
thf(f44511,plain,
( ~ spl2_9
| ~ spl2_273
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f44510]) ).
thf(f44512,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_273
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f44505,f9995]) ).
thf(f44513,plain,
( spl2_223
| ~ spl2_9
| ~ spl2_186
| ~ spl2_212
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f44507,f10001,f7350,f6743,f107,f7636]) ).
thf(f44515,plain,
( $false
| ~ spl2_2
| spl2_11
| ~ spl2_273
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f44512,f896]) ).
thf(f44516,plain,
( ~ spl2_2
| spl2_11
| ~ spl2_273
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f44515]) ).
thf(f44544,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_558 ),
inference(constrained_superposition,[],[f44472,f79]) ).
thf(f44548,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_558 ),
inference(trivial_inequality_removal,[],[f44544]) ).
thf(f44551,plain,
( spl2_275
| spl2_558 ),
inference(avatar_split_clause,[],[f44548,f44471,f10001]) ).
thf(f44554,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_270
| ~ spl2_512 ),
inference(constrained_superposition,[],[f42014,f9984]) ).
thf(f44557,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_270
| ~ spl2_512 ),
inference(trivial_inequality_removal,[],[f44554]) ).
thf(f44560,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_270
| spl2_273
| ~ spl2_512 ),
inference(forward_subsumption_resolution,[],[f44557,f10150]) ).
thf(f44562,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_270
| spl2_273
| ~ spl2_512 ),
inference(forward_subsumption_resolution,[],[f44560,f40]) ).
thf(f44563,plain,
( spl2_309
| ~ spl2_270
| spl2_273
| ~ spl2_512 ),
inference(avatar_split_clause,[],[f44562,f42013,f9994,f9983,f11662]) ).
thf(f44640,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_186
| ~ spl2_212
| ~ spl2_309 ),
inference(constrained_superposition,[],[f43883,f11663]) ).
thf(f44667,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_183
| ~ spl2_186
| ~ spl2_212
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f44640,f6709]) ).
thf(f44675,plain,
( spl2_223
| ~ spl2_9
| ~ spl2_183
| ~ spl2_186
| ~ spl2_212
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f44667,f11662,f7350,f6743,f6708,f107,f7636]) ).
thf(f44682,plain,
( spl2_212
| spl2_168
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f43799,f6261,f6268,f7350]) ).
thf(f44685,plain,
( ~ spl2_13
| spl2_209
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f43881,f6743,f7207,f160]) ).
thf(f44692,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_123
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f44137,f40]) ).
thf(f44696,plain,
( spl2_172
| spl2_233
| ~ spl2_19
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f43876,f6743,f237,f7766,f6282]) ).
thf(f44697,plain,
( ~ spl2_107
| ~ spl2_164
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f43875,f6743,f6254,f4916]) ).
thf(f44698,plain,
( spl2_287
| ~ spl2_262
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f44006,f9990,f9484,f10210]) ).
thf(f44700,plain,
( ~ spl2_39
| spl2_111
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f43697,f5270,f4932,f529]) ).
thf(f44708,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_21
| ~ spl2_166
| spl2_199 ),
inference(forward_subsumption_resolution,[],[f43816,f9687]) ).
thf(f44715,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_123
| ~ spl2_186
| spl2_261 ),
inference(forward_subsumption_resolution,[],[f44692,f44359]) ).
thf(f44721,plain,
( spl2_185
| spl2_208
| spl2_202
| ~ spl2_21
| ~ spl2_166
| spl2_199 ),
inference(avatar_split_clause,[],[f44708,f6963,f6261,f244,f6974,f7200,f6716]) ).
thf(f44723,plain,
( ~ spl2_107
| spl2_172
| ~ spl2_123
| ~ spl2_186
| spl2_261 ),
inference(avatar_split_clause,[],[f44715,f9424,f6743,f5274,f6282,f4916]) ).
thf(f44790,plain,
( ( $true != $true )
| ~ spl2_166
| ~ spl2_217 ),
inference(constrained_superposition,[],[f7520,f6262]) ).
thf(f44791,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_217 ),
inference(constrained_superposition,[],[f7520,f80]) ).
thf(f44795,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f44791]) ).
thf(f44799,plain,
( $false
| ~ spl2_166
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f44790]) ).
thf(f44800,plain,
( ~ spl2_166
| ~ spl2_217 ),
inference(avatar_contradiction_clause,[],[f44799]) ).
thf(f44801,plain,
( spl2_185
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f44795,f7519,f6716]) ).
thf(f44802,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_218 ),
inference(constrained_superposition,[],[f7524,f50]) ).
thf(f44804,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_218 ),
inference(trivial_inequality_removal,[],[f44802]) ).
thf(f44819,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_189 ),
inference(constrained_superposition,[],[f6804,f80]) ).
thf(f44826,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f44819]) ).
thf(f44830,plain,
( spl2_215
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f44826,f6803,f7512]) ).
thf(f44944,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_120
| ~ spl2_220 ),
inference(constrained_superposition,[],[f5118,f7531]) ).
thf(f44945,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_270 ),
inference(constrained_superposition,[],[f5118,f9984]) ).
thf(f44956,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_120
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f44944]) ).
thf(f44957,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f44945]) ).
thf(f44963,plain,
( ~ spl2_208
| ~ spl2_120
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f44956,f7530,f5117,f7200]) ).
thf(f44969,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_19
| ~ spl2_120
| ~ spl2_270 ),
inference(constrained_superposition,[],[f44957,f10745]) ).
thf(f44972,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_120
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f44969]) ).
thf(f44978,plain,
( $false
| ~ spl2_120
| ~ spl2_270
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f10002,f44957]) ).
thf(f44979,plain,
( ~ spl2_120
| ~ spl2_270
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f44978]) ).
thf(f44988,plain,
( spl2_196
| spl2_205
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f43599,f6813,f7135,f6932]) ).
thf(f44996,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_120
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f44972,f40]) ).
thf(f44997,plain,
( spl2_205
| spl2_1
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f43611,f6942,f59,f7135]) ).
thf(f44998,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_13
| ~ spl2_19
| ~ spl2_120
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f44996,f161]) ).
thf(f44999,plain,
( spl2_273
| spl2_13
| ~ spl2_19
| ~ spl2_120
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f44998,f9983,f5117,f237,f160,f9994]) ).
thf(f45001,plain,
( ( $true != $true )
| ~ spl2_1
| ~ spl2_191 ),
inference(constrained_superposition,[],[f60,f6814]) ).
thf(f45002,plain,
( ( $true != $true )
| ~ spl2_1
| ~ spl2_168 ),
inference(constrained_superposition,[],[f60,f6269]) ).
thf(f45005,plain,
( $false
| ~ spl2_1
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f45002]) ).
thf(f45006,plain,
( ~ spl2_1
| ~ spl2_168 ),
inference(avatar_contradiction_clause,[],[f45005]) ).
thf(f45010,plain,
( $false
| ~ spl2_1
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f45001]) ).
thf(f45011,plain,
( ~ spl2_1
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f45010]) ).
thf(f45013,plain,
( spl2_104
| spl2_169
| spl2_168
| ~ spl2_19
| spl2_110 ),
inference(avatar_split_clause,[],[f12056,f4928,f237,f6268,f6271,f4905]) ).
thf(f45015,plain,
( spl2_168
| spl2_218 ),
inference(avatar_split_clause,[],[f44804,f7523,f6268]) ).
thf(f45017,plain,
( spl2_108
| spl2_172
| spl2_164
| ~ spl2_19
| spl2_110 ),
inference(avatar_split_clause,[],[f12055,f4928,f237,f6254,f6282,f4920]) ).
thf(f45032,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f4886,f7208]) ).
thf(f45044,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f45032]) ).
thf(f45055,plain,
( spl2_169
| spl2_180
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f45044,f7207,f6696,f6271]) ).
thf(f45223,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f4886,f9730]) ).
thf(f45240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f45223]) ).
thf(f45254,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_266
| spl2_270 ),
inference(forward_subsumption_resolution,[],[f45240,f42083]) ).
thf(f45256,plain,
( spl2_271
| ~ spl2_266
| spl2_270 ),
inference(avatar_split_clause,[],[f45254,f9983,f9729,f9986]) ).
thf(f45272,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f7716,f49]) ).
thf(f45279,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f45272]) ).
thf(f45320,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_164 ),
inference(constrained_superposition,[],[f63,f6255]) ).
thf(f45322,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_215 ),
inference(constrained_superposition,[],[f63,f7513]) ).
thf(f45323,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_169 ),
inference(constrained_superposition,[],[f63,f6272]) ).
thf(f45335,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f45322]) ).
thf(f45336,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_2
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f45320]) ).
thf(f45341,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_2
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f45323]) ).
thf(f45370,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_23
| ~ spl2_552 ),
inference(constrained_superposition,[],[f252,f44384]) ).
thf(f45379,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_23
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f45370]) ).
thf(f45401,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_272
| ~ spl2_554 ),
inference(constrained_superposition,[],[f9991,f44391]) ).
thf(f45416,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_272
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f45401]) ).
thf(f45432,plain,
( $false
| ~ spl2_166
| ~ spl2_272
| ~ spl2_554 ),
inference(forward_subsumption_resolution,[],[f45416,f6262]) ).
thf(f45433,plain,
( ~ spl2_166
| ~ spl2_272
| ~ spl2_554 ),
inference(avatar_contradiction_clause,[],[f45432]) ).
thf(f45441,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_280
| ~ spl2_553 ),
inference(constrained_superposition,[],[f10033,f44388]) ).
thf(f45447,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_280
| ~ spl2_553 ),
inference(trivial_inequality_removal,[],[f45441]) ).
thf(f45451,plain,
( $false
| ~ spl2_191
| ~ spl2_280
| ~ spl2_553 ),
inference(forward_subsumption_resolution,[],[f45447,f6814]) ).
thf(f45452,plain,
( ~ spl2_191
| ~ spl2_280
| ~ spl2_553 ),
inference(avatar_contradiction_clause,[],[f45451]) ).
thf(f45465,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f330,f10112]) ).
thf(f45466,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f4886,f10112]) ).
thf(f45518,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_284 ),
inference(duplicate_literal_removal,[],[f45466]) ).
thf(f45520,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_131
| ~ spl2_284 ),
inference(forward_subsumption_resolution,[],[f45465,f12825]) ).
thf(f45525,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_131
| ~ spl2_284 ),
inference(forward_subsumption_resolution,[],[f45518,f12825]) ).
thf(f45528,plain,
( spl2_145
| spl2_131
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f45520,f10111,f5641,f5699]) ).
thf(f45529,plain,
( spl2_146
| spl2_146
| spl2_131
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f45525,f10111,f5641,f5706,f5706]) ).
thf(f45532,plain,
( ~ spl2_104
| spl2_209
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f45279,f7715,f7207,f4905]) ).
thf(f45536,plain,
( spl2_14
| spl2_185
| spl2_184
| spl2_199 ),
inference(avatar_split_clause,[],[f9713,f6963,f6711,f6716,f182]) ).
thf(f45538,plain,
( spl2_167
| spl2_191
| spl2_172
| ~ spl2_19
| spl2_261 ),
inference(avatar_split_clause,[],[f44366,f9424,f237,f6282,f6813,f6264]) ).
thf(f45540,definition,
( spl2_568
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_568])],[avatar_definition]) ).
thf(f45541,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_568 ),
inference(avatar_component_clause,[],[f45540]) ).
thf(f45542,plain,
( ~ spl2_568
| spl2_198
| ~ spl2_23
| ~ spl2_552 ),
inference(avatar_split_clause,[],[f45379,f44383,f251,f6942,f45540]) ).
thf(f45543,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_19
| spl2_168
| spl2_261 ),
inference(forward_subsumption_resolution,[],[f44367,f9791]) ).
thf(f45551,plain,
( spl2_201
| ~ spl2_5
| ~ spl2_2
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f45335,f7512,f62,f92,f6971]) ).
thf(f45564,plain,
( spl2_209
| ~ spl2_108
| ~ spl2_2
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f45336,f6254,f62,f4920,f7207]) ).
thf(f45571,plain,
( spl2_198
| spl2_171
| ~ spl2_19
| spl2_168
| spl2_261 ),
inference(avatar_split_clause,[],[f45543,f9424,f6268,f237,f6278,f6942]) ).
thf(f45588,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_110
| spl2_199 ),
inference(constrained_superposition,[],[f9687,f4929]) ).
thf(f45594,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_110
| spl2_261 ),
inference(constrained_superposition,[],[f44359,f4929]) ).
thf(f45599,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f90,f4929]) ).
thf(f45629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_110 ),
inference(duplicate_literal_removal,[],[f45599]) ).
thf(f45636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_41
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f45629,f724]) ).
thf(f45638,plain,
( $false
| ~ spl2_110
| spl2_199 ),
inference(forward_subsumption_resolution,[],[f45588,f4929]) ).
thf(f45639,plain,
( ~ spl2_110
| spl2_199 ),
inference(avatar_contradiction_clause,[],[f45638]) ).
thf(f45646,plain,
( $false
| ~ spl2_110
| spl2_261 ),
inference(forward_subsumption_resolution,[],[f45594,f4929]) ).
thf(f45647,plain,
( ~ spl2_110
| spl2_261 ),
inference(avatar_contradiction_clause,[],[f45646]) ).
thf(f45653,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f45636,f4928,f618,f182,f182]) ).
thf(f45654,plain,
( spl2_152
| ~ spl2_168
| ~ spl2_2
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f45341,f6271,f62,f6268,f5933]) ).
thf(f45659,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_110 ),
inference(extensionality_resolution,[],[f81,f6173]) ).
thf(f45660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_110 ),
inference(extensionality_resolution,[],[f81,f6173]) ).
thf(f45661,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_110 ),
inference(extensionality_resolution,[],[f55,f6173]) ).
thf(f45663,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_110 ),
inference(extensionality_resolution,[],[f51,f6173]) ).
thf(f45667,plain,
( spl2_170
| spl2_171
| spl2_110 ),
inference(avatar_split_clause,[],[f45659,f4928,f6278,f6275]) ).
thf(f45668,plain,
( spl2_14
| spl2_111
| spl2_106
| spl2_110 ),
inference(avatar_split_clause,[],[f45661,f4928,f4913,f4932,f182]) ).
thf(f45669,plain,
( spl2_166
| spl2_167
| spl2_110 ),
inference(avatar_split_clause,[],[f45660,f4928,f6264,f6261]) ).
thf(f45672,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f76,f119]) ).
thf(f45673,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f29,f119]) ).
thf(f45677,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f45673]) ).
thf(f45683,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f45672]) ).
thf(f45684,plain,
( spl2_7
| spl2_22
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f45677,f118,f248,f98]) ).
thf(f45686,plain,
( spl2_7
| spl2_5
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f45683,f118,f92,f98]) ).
thf(f45702,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_273 ),
inference(constrained_superposition,[],[f116,f9995]) ).
thf(f45707,plain,
( $false
| ~ spl2_10
| ~ spl2_273 ),
inference(trivial_inequality_removal,[],[f45702]) ).
thf(f45708,plain,
( ~ spl2_10
| ~ spl2_273 ),
inference(avatar_contradiction_clause,[],[f45707]) ).
thf(f45721,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_152 ),
inference(constrained_superposition,[],[f11310,f5934]) ).
thf(f45724,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_21
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f45721]) ).
thf(f45732,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f45724,f48]) ).
thf(f45736,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_21
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f45732,f40]) ).
thf(f45737,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_13
| ~ spl2_21
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f45736,f161]) ).
thf(f45738,plain,
( spl2_111
| spl2_13
| ~ spl2_21
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f45737,f5933,f244,f160,f4932]) ).
thf(f45754,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_164
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6255,f9425]) ).
thf(f45755,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_169
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6272,f9425]) ).
thf(f45758,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_225
| ~ spl2_261 ),
inference(constrained_superposition,[],[f7716,f9425]) ).
thf(f45763,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_261 ),
inference(constrained_superposition,[],[f330,f9425]) ).
thf(f45764,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_261 ),
inference(constrained_superposition,[],[f4886,f9425]) ).
thf(f45765,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_103
| ~ spl2_261 ),
inference(constrained_superposition,[],[f4903,f9425]) ).
thf(f45801,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_261 ),
inference(duplicate_literal_removal,[],[f45764]) ).
thf(f45802,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_225
| ~ spl2_261 ),
inference(duplicate_literal_removal,[],[f45758]) ).
thf(f45804,plain,
( $false
| spl2_131
| ~ spl2_169
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f45755,f12825]) ).
thf(f45805,plain,
( spl2_131
| ~ spl2_169
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f45804]) ).
thf(f45807,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_131
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f45763,f12825]) ).
thf(f45809,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_131
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f45801,f12825]) ).
thf(f45813,plain,
( $false
| spl2_131
| ~ spl2_164
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f45754,f12825]) ).
thf(f45814,plain,
( spl2_131
| ~ spl2_164
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f45813]) ).
thf(f45815,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_103
| spl2_131
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f45765,f12825]) ).
thf(f45816,plain,
( spl2_121
| ~ spl2_225
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f45802,f9424,f7715,f5120]) ).
thf(f45817,plain,
( spl2_145
| spl2_131
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f45807,f9424,f5641,f5699]) ).
thf(f45818,plain,
( spl2_146
| spl2_146
| spl2_131
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f45809,f9424,f5641,f5706,f5706]) ).
thf(f45820,plain,
( ~ spl2_132
| ~ spl2_103
| spl2_131
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f45815,f9424,f5641,f4902,f5644]) ).
thf(f45821,plain,
( ( $true != $true )
| ~ spl2_20
| spl2_108 ),
inference(constrained_superposition,[],[f43647,f241]) ).
thf(f45824,plain,
( $false
| ~ spl2_20
| spl2_108 ),
inference(trivial_inequality_removal,[],[f45821]) ).
thf(f45825,plain,
( ~ spl2_20
| spl2_108 ),
inference(avatar_contradiction_clause,[],[f45824]) ).
thf(f45826,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f26,f93]) ).
thf(f45827,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f45826]) ).
thf(f45828,plain,
( spl2_9
| spl2_8
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f45827,f92,f104,f107]) ).
thf(f45834,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f26,f624]) ).
thf(f45836,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f45834]) ).
thf(f45837,plain,
( spl2_9
| spl2_1
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f45836,f160,f59,f107]) ).
thf(f45841,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_104 ),
inference(constrained_superposition,[],[f26,f4906]) ).
thf(f45842,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f45841]) ).
thf(f45844,plain,
( spl2_147
| spl2_1
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f45842,f4905,f59,f5711]) ).
thf(f45845,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_23
| spl2_261 ),
inference(extensionality_resolution,[],[f9325,f44359]) ).
thf(f45847,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_261 ),
inference(extensionality_resolution,[],[f81,f44359]) ).
thf(f45848,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_261 ),
inference(extensionality_resolution,[],[f81,f44359]) ).
thf(f45850,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_261 ),
inference(extensionality_resolution,[],[f55,f44359]) ).
thf(f45851,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_261 ),
inference(extensionality_resolution,[],[f51,f44359]) ).
thf(f45855,plain,
( spl2_554
| spl2_553
| spl2_261 ),
inference(avatar_split_clause,[],[f45848,f9424,f44387,f44390]) ).
thf(f45857,plain,
( spl2_552
| spl2_551
| spl2_261 ),
inference(avatar_split_clause,[],[f45847,f9424,f44380,f44383]) ).
thf(f45859,plain,
( spl2_166
| spl2_167
| spl2_261 ),
inference(avatar_split_clause,[],[f45851,f9424,f6264,f6261]) ).
thf(f45860,plain,
( ~ spl2_188
| spl2_172
| spl2_167
| ~ spl2_23
| spl2_261 ),
inference(avatar_split_clause,[],[f45845,f9424,f251,f6264,f6282,f6798]) ).
thf(f45898,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f90,f7208]) ).
thf(f45901,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f76,f7208]) ).
thf(f45902,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f29,f7208]) ).
thf(f45911,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f45902]) ).
thf(f45913,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f45898]) ).
thf(f45916,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f45901]) ).
thf(f45918,plain,
( spl2_22
| spl2_212
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f45911,f7207,f7350,f248]) ).
thf(f45919,plain,
( spl2_184
| spl2_183
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f45913,f7207,f6708,f6711]) ).
thf(f45920,plain,
( spl2_168
| spl2_212
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f45916,f7207,f7350,f6268]) ).
thf(f45926,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f76,f8042]) ).
thf(f45940,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f45926]) ).
thf(f45965,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f4886,f6972]) ).
thf(f45966,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f90,f6972]) ).
thf(f45979,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f45965]) ).
thf(f45982,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f45966]) ).
thf(f45987,plain,
( spl2_220
| spl2_219
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f45979,f6971,f7527,f7530]) ).
thf(f46000,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f29,f8077]) ).
thf(f46005,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f46000]) ).
thf(f46012,plain,
( spl2_217
| spl2_184
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f46005,f7515,f6711,f7519]) ).
thf(f46080,plain,
( spl2_122
| spl2_108
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f45940,f8041,f4920,f5270]) ).
thf(f46081,plain,
( spl2_221
| spl2_208
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f45982,f6971,f7200,f7534]) ).
thf(f46082,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_108 ),
inference(constrained_superposition,[],[f26,f4921]) ).
thf(f46083,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f46082]) ).
thf(f46084,plain,
( spl2_147
| spl2_121
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f46083,f4920,f5120,f5711]) ).
thf(f46175,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_263 ),
inference(constrained_superposition,[],[f4886,f9720]) ).
thf(f46181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_263 ),
inference(constrained_superposition,[],[f29,f9720]) ).
thf(f46188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f46181]) ).
thf(f46193,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f46175]) ).
thf(f46201,plain,
( spl2_146
| spl2_219
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f46188,f9719,f7527,f5706]) ).
thf(f46202,plain,
( spl2_219
| spl2_220
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f46193,f9719,f7530,f7527]) ).
thf(f46204,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_287 ),
inference(constrained_superposition,[],[f10033,f10211]) ).
thf(f46209,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_280
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f46204]) ).
thf(f46211,plain,
( $false
| ~ spl2_5
| ~ spl2_280
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f46209,f93]) ).
thf(f46212,plain,
( ~ spl2_5
| ~ spl2_280
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f46211]) ).
thf(f46270,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_167
| ~ spl2_225 ),
inference(constrained_superposition,[],[f7716,f6265]) ).
thf(f46272,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_167 ),
inference(constrained_superposition,[],[f26,f6265]) ).
thf(f46273,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_167
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f46270]) ).
thf(f46274,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f46272]) ).
thf(f46276,plain,
( spl2_197
| spl2_196
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f46274,f6264,f6932,f6936]) ).
thf(f46317,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f6712,f80]) ).
thf(f46322,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f46317]) ).
thf(f46331,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f90,f9730]) ).
thf(f46355,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f46331]) ).
thf(f46366,plain,
( spl2_275
| spl2_276
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f46355,f9729,f10004,f10001]) ).
thf(f46458,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_274
| ~ spl2_554 ),
inference(constrained_superposition,[],[f9998,f44391]) ).
thf(f46463,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_23
| ~ spl2_554 ),
inference(constrained_superposition,[],[f252,f44391]) ).
thf(f46474,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_23
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f46463]) ).
thf(f46481,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f46458]) ).
thf(f46488,plain,
( ~ spl2_188
| spl2_310
| ~ spl2_23
| ~ spl2_554 ),
inference(avatar_split_clause,[],[f46474,f44390,f251,f11665,f6798]) ).
thf(f46493,plain,
( ~ spl2_188
| ~ spl2_274
| ~ spl2_554 ),
inference(avatar_split_clause,[],[f46481,f44390,f9997,f6798]) ).
thf(f46541,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_288
| ~ spl2_553 ),
inference(constrained_superposition,[],[f10221,f44388]) ).
thf(f46547,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_288
| ~ spl2_553 ),
inference(trivial_inequality_removal,[],[f46541]) ).
thf(f46549,plain,
( $false
| ~ spl2_208
| ~ spl2_288
| ~ spl2_553 ),
inference(forward_subsumption_resolution,[],[f46547,f7536]) ).
thf(f46550,plain,
( ~ spl2_208
| ~ spl2_288
| ~ spl2_553 ),
inference(avatar_contradiction_clause,[],[f46549]) ).
thf(f46593,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_197
| ~ spl2_551 ),
inference(constrained_superposition,[],[f6937,f44381]) ).
thf(f46600,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_197
| ~ spl2_551 ),
inference(trivial_inequality_removal,[],[f46593]) ).
thf(f46601,plain,
( $false
| ~ spl2_197
| ~ spl2_268
| ~ spl2_551 ),
inference(forward_subsumption_resolution,[],[f46600,f9737]) ).
thf(f46602,plain,
( ~ spl2_197
| ~ spl2_268
| ~ spl2_551 ),
inference(avatar_contradiction_clause,[],[f46601]) ).
thf(f46603,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_568 ),
inference(constrained_superposition,[],[f45541,f50]) ).
thf(f46606,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_568 ),
inference(trivial_inequality_removal,[],[f46603]) ).
thf(f46612,plain,
( spl2_273
| spl2_568 ),
inference(avatar_split_clause,[],[f46606,f45540,f9994]) ).
thf(f46614,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_273 ),
inference(constrained_superposition,[],[f26,f9995]) ).
thf(f46615,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_273 ),
inference(trivial_inequality_removal,[],[f46614]) ).
thf(f46616,plain,
( spl2_279
| spl2_280
| ~ spl2_273 ),
inference(avatar_split_clause,[],[f46615,f9994,f10032,f10029]) ).
thf(f46619,plain,
( ( $true != $true )
| ~ spl2_265
| ~ spl2_279 ),
inference(constrained_superposition,[],[f10030,f9727]) ).
thf(f46620,plain,
( ( $true != $true )
| ~ spl2_279
| ~ spl2_553 ),
inference(constrained_superposition,[],[f10030,f44388]) ).
thf(f46623,plain,
( $false
| ~ spl2_279
| ~ spl2_553 ),
inference(trivial_inequality_removal,[],[f46620]) ).
thf(f46624,plain,
( ~ spl2_279
| ~ spl2_553 ),
inference(avatar_contradiction_clause,[],[f46623]) ).
thf(f46627,plain,
( $false
| ~ spl2_265
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f46619]) ).
thf(f46628,plain,
( ~ spl2_265
| ~ spl2_279 ),
inference(avatar_contradiction_clause,[],[f46627]) ).
thf(f46643,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_219
| ~ spl2_552 ),
inference(constrained_superposition,[],[f7528,f44384]) ).
thf(f46669,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_219
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f46643]) ).
thf(f46677,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_168
| ~ spl2_550 ),
inference(constrained_superposition,[],[f9791,f44358]) ).
thf(f46679,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_168
| ~ spl2_550 ),
inference(trivial_inequality_removal,[],[f46677]) ).
thf(f46681,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_168
| spl2_261
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f46679,f44359]) ).
thf(f46683,plain,
( $false
| spl2_168
| spl2_261
| ~ spl2_550 ),
inference(forward_subsumption_resolution,[],[f46681,f40]) ).
thf(f46684,plain,
( spl2_168
| spl2_261
| ~ spl2_550 ),
inference(avatar_contradiction_clause,[],[f46683]) ).
thf(f46687,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_219
| ~ spl2_552 ),
inference(constrained_superposition,[],[f46669,f81]) ).
thf(f46688,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_219
| ~ spl2_552 ),
inference(constrained_superposition,[],[f46669,f51]) ).
thf(f46690,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_219
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f46687]) ).
thf(f46693,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_219
| ~ spl2_552 ),
inference(trivial_inequality_removal,[],[f46688]) ).
thf(f46694,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_219
| ~ spl2_552 ),
inference(forward_subsumption_resolution,[],[f46690,f40]) ).
thf(f46698,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_219
| spl2_270
| ~ spl2_552 ),
inference(forward_subsumption_resolution,[],[f46693,f42083]) ).
thf(f46699,plain,
( $false
| ~ spl2_219
| spl2_270
| ~ spl2_552 ),
inference(forward_subsumption_resolution,[],[f46694,f42083]) ).
thf(f46700,plain,
( ~ spl2_219
| spl2_270
| ~ spl2_552 ),
inference(avatar_contradiction_clause,[],[f46699]) ).
thf(f46702,plain,
( spl2_202
| ~ spl2_219
| spl2_270
| ~ spl2_552 ),
inference(avatar_split_clause,[],[f46698,f44383,f9983,f7527,f6974]) ).
thf(f46703,plain,
( $false
| ~ spl2_167
| ~ spl2_220
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f7531,f46273]) ).
thf(f46704,plain,
( ~ spl2_167
| ~ spl2_220
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f46703]) ).
thf(f46705,plain,
( spl2_164
| spl2_165
| spl2_110 ),
inference(avatar_split_clause,[],[f45663,f4928,f6257,f6254]) ).
thf(f46708,plain,
( spl2_180
| spl2_164
| spl2_146
| spl2_261 ),
inference(avatar_split_clause,[],[f45850,f9424,f5706,f6254,f6696]) ).
thf(f46714,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_152 ),
inference(constrained_superposition,[],[f76,f5934]) ).
thf(f46715,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_152 ),
inference(constrained_superposition,[],[f29,f5934]) ).
thf(f46718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_152 ),
inference(constrained_superposition,[],[f325,f5934]) ).
thf(f46721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f46718]) ).
thf(f46726,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f46714]) ).
thf(f46727,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f46715]) ).
thf(f46731,plain,
( spl2_123
| spl2_114
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f46721,f5933,f4943,f5274]) ).
thf(f46732,plain,
( spl2_108
| spl2_122
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f46726,f5933,f5270,f4920]) ).
thf(f46733,plain,
( spl2_22
| spl2_122
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f46727,f5933,f5270,f248]) ).
thf(f46748,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_107 ),
inference(constrained_superposition,[],[f26,f4917]) ).
thf(f46749,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f46748]) ).
thf(f46752,plain,
( spl2_121
| spl2_120
| ~ spl2_107 ),
inference(avatar_split_clause,[],[f46749,f4916,f5117,f5120]) ).
thf(f46754,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_111 ),
inference(constrained_superposition,[],[f26,f4933]) ).
thf(f46756,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f46754]) ).
thf(f46757,plain,
( spl2_8
| spl2_120
| ~ spl2_111 ),
inference(avatar_split_clause,[],[f46756,f4932,f5117,f104]) ).
thf(f46764,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f26,f6269]) ).
thf(f46765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f46764]) ).
thf(f46766,plain,
( spl2_193
| spl2_194
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f46765,f6268,f6854,f6838]) ).
thf(f46768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f26,f6283]) ).
thf(f46770,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f46768]) ).
thf(f46771,plain,
( spl2_193
| spl2_1
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f46770,f6282,f59,f6838]) ).
thf(f46784,plain,
( ( $true != $true )
| ~ spl2_196
| ~ spl2_215 ),
inference(constrained_superposition,[],[f6933,f7513]) ).
thf(f46789,plain,
( $false
| ~ spl2_196
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f46784]) ).
thf(f46790,plain,
( ~ spl2_196
| ~ spl2_215 ),
inference(avatar_contradiction_clause,[],[f46789]) ).
thf(f46796,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f4886,f6258]) ).
thf(f46802,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f29,f6258]) ).
thf(f46816,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f46802]) ).
thf(f46818,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f46796]) ).
thf(f46825,plain,
( spl2_180
| spl2_146
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f46816,f6257,f5706,f6696]) ).
thf(f46826,plain,
( spl2_169
| spl2_180
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f46818,f6257,f6696,f6271]) ).
thf(f46859,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_195
| ~ spl2_264 ),
inference(constrained_superposition,[],[f6885,f9723]) ).
thf(f46861,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_264 ),
inference(constrained_superposition,[],[f26,f9723]) ).
thf(f46863,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_195
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f46859]) ).
thf(f46864,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f46861]) ).
thf(f46865,plain,
( $false
| ~ spl2_107
| ~ spl2_195
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f46863,f4917]) ).
thf(f46866,plain,
( ~ spl2_107
| ~ spl2_195
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f46865]) ).
thf(f46867,plain,
( spl2_121
| spl2_224
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f46864,f9722,f7666,f5120]) ).
thf(f46869,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f26,f10211]) ).
thf(f46871,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f46869]) ).
thf(f46872,plain,
( spl2_288
| spl2_8
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f46871,f10210,f104,f10220]) ).
thf(f46895,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f26,f6279]) ).
thf(f46897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f46895]) ).
thf(f46898,plain,
( spl2_194
| spl2_197
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f46897,f6278,f6936,f6854]) ).
thf(f46899,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_120
| ~ spl2_270 ),
inference(constrained_superposition,[],[f5118,f9984]) ).
thf(f46901,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_270 ),
inference(constrained_superposition,[],[f26,f9984]) ).
thf(f46903,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f46901]) ).
thf(f46904,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f46899]) ).
thf(f46905,plain,
( spl2_286
| spl2_279
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f46903,f9983,f10029,f10146]) ).
thf(f46911,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_266
| ~ spl2_276 ),
inference(constrained_superposition,[],[f10005,f9730]) ).
thf(f46918,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f29,f9730]) ).
thf(f46929,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_266
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f46911]) ).
thf(f46933,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f46918]) ).
thf(f46939,plain,
( $false
| ~ spl2_216
| ~ spl2_266
| ~ spl2_276 ),
inference(forward_subsumption_resolution,[],[f46929,f8077]) ).
thf(f46940,plain,
( ~ spl2_216
| ~ spl2_266
| ~ spl2_276 ),
inference(avatar_contradiction_clause,[],[f46939]) ).
thf(f46941,plain,
( spl2_217
| spl2_272
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f46933,f9729,f9990,f7519]) ).
thf(f46950,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_184
| ~ spl2_267 ),
inference(constrained_superposition,[],[f6712,f9734]) ).
thf(f46960,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_267 ),
inference(constrained_superposition,[],[f11310,f9734]) ).
thf(f46964,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f46960]) ).
thf(f46970,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_184
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f46950]) ).
thf(f46976,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_21
| spl2_199
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f46964,f9687]) ).
thf(f46978,plain,
( ~ spl2_558
| ~ spl2_184
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f46970,f9733,f6711,f44471]) ).
thf(f46981,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_21
| spl2_185
| spl2_199
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f46976,f42332]) ).
thf(f46983,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_21
| ~ spl2_120
| spl2_185
| spl2_199
| ~ spl2_267
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f46981,f46904]) ).
thf(f46984,plain,
( spl2_292
| ~ spl2_21
| ~ spl2_120
| spl2_185
| spl2_199
| ~ spl2_267
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f46983,f9983,f9733,f6963,f6716,f5117,f244,f10904]) ).
thf(f46986,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_23
| ~ spl2_121 ),
inference(constrained_superposition,[],[f5121,f11322]) ).
thf(f46988,plain,
( ( $true != $true )
| ~ spl2_121
| ~ spl2_270 ),
inference(constrained_superposition,[],[f5121,f9984]) ).
thf(f46992,plain,
( $false
| ~ spl2_121
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f46988]) ).
thf(f46993,plain,
( ~ spl2_121
| ~ spl2_270 ),
inference(avatar_contradiction_clause,[],[f46992]) ).
thf(f46994,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_23
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f46986]) ).
thf(f46997,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_23
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f46994,f5121]) ).
thf(f46999,plain,
( spl2_550
| ~ spl2_23
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f46997,f5120,f251,f44357]) ).
thf(f47012,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f90,f8042]) ).
thf(f47018,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f325,f8042]) ).
thf(f47019,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f47012]) ).
thf(f47028,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f47018]) ).
thf(f47029,plain,
( spl2_114
| spl2_150
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f47028,f8041,f5743,f4943]) ).
thf(f47035,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f26,f6255]) ).
thf(f47037,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f47035]) ).
thf(f47039,plain,
( spl2_225
| spl2_121
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f47037,f6254,f5120,f7715]) ).
thf(f47041,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f26,f6272]) ).
thf(f47043,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f47041]) ).
thf(f47044,plain,
( spl2_225
| spl2_194
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f47043,f6271,f6854,f7715]) ).
thf(f47046,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f26,f7513]) ).
thf(f47048,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f47046]) ).
thf(f47049,plain,
( spl2_8
| spl2_195
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f47048,f7512,f6884,f104]) ).
thf(f47097,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f29,f6262]) ).
thf(f47103,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f47097]) ).
thf(f47113,plain,
( spl2_190
| spl2_189
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f47103,f6261,f6803,f6806]) ).
thf(f47117,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f4886,f6276]) ).
thf(f47121,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f29,f6276]) ).
thf(f47128,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f47121]) ).
thf(f47131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f47117]) ).
thf(f47137,plain,
( spl2_217
| spl2_190
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f47128,f6275,f6806,f7519]) ).
thf(f47150,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_268 ),
inference(constrained_superposition,[],[f7716,f9737]) ).
thf(f47152,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_225
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f47150]) ).
thf(f47161,plain,
( spl2_107
| spl2_106
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f47019,f8041,f4913,f4916]) ).
thf(f47166,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_184
| spl2_185 ),
inference(forward_subsumption_resolution,[],[f46322,f42332]) ).
thf(f47167,plain,
( spl2_220
| spl2_219
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f47131,f6275,f7527,f7530]) ).
thf(f47170,plain,
( ~ spl2_270
| ~ spl2_225
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f47152,f9736,f7715,f9983]) ).
thf(f47173,plain,
( ~ spl2_18
| ~ spl2_184
| spl2_185 ),
inference(avatar_split_clause,[],[f47166,f6716,f6711,f219]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f64]) ).
cnf(s3,plain,
( spl2_5
| spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f100]) ).
cnf(s5,plain,
( ~ spl2_2
| ~ spl2_6
| spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( spl2_11
| spl2_13 ),
inference(sat_conversion,[],[f165]) ).
cnf(s8,plain,
( spl2_14
| spl2_15 ),
inference(sat_conversion,[],[f187]) ).
cnf(s9,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(sat_conversion,[],[f195]) ).
cnf(s10,plain,
( spl2_6
| ~ spl2_14 ),
inference(sat_conversion,[],[f197]) ).
cnf(s13,plain,
( spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f242]) ).
cnf(s14,plain,
( spl2_6
| spl2_21 ),
inference(sat_conversion,[],[f246]) ).
cnf(s15,plain,
( spl2_22
| spl2_23 ),
inference(sat_conversion,[],[f253]) ).
cnf(s16,plain,
( spl2_20
| ~ spl2_22 ),
inference(sat_conversion,[],[f258]) ).
cnf(s26,plain,
( spl2_11
| ~ spl2_21
| ~ spl2_22
| spl2_33 ),
inference(sat_conversion,[],[f468]) ).
cnf(s30,plain,
( ~ spl2_21
| ~ spl2_22
| spl2_33
| spl2_36 ),
inference(sat_conversion,[],[f481]) ).
cnf(s34,plain,
( ~ spl2_8
| spl2_11 ),
inference(sat_conversion,[],[f512]) ).
cnf(s37,plain,
( ~ spl2_8
| spl2_36 ),
inference(sat_conversion,[],[f516]) ).
cnf(s59,plain,
( ~ spl2_1
| ~ spl2_24
| spl2_27 ),
inference(sat_conversion,[],[f648]) ).
cnf(s63,plain,
( spl2_8
| ~ spl2_40
| spl2_43 ),
inference(sat_conversion,[],[f722]) ).
cnf(s95,plain,
~ spl2_47,
inference(sat_conversion,[],[f1425]) ).
cnf(s119,plain,
( ~ spl2_56
| spl2_58 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s140,plain,
~ spl2_58,
inference(sat_conversion,[],[f2079]) ).
cnf(s146,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(sat_conversion,[],[f2083]) ).
cnf(s159,plain,
( ~ spl2_9
| ~ spl2_21
| spl2_32 ),
inference(sat_conversion,[],[f2182]) ).
cnf(s168,plain,
( spl2_47
| ~ spl2_59
| spl2_68 ),
inference(sat_conversion,[],[f2422]) ).
cnf(s179,plain,
( spl2_59
| ~ spl2_70 ),
inference(sat_conversion,[],[f2550]) ).
cnf(s198,plain,
~ spl2_68,
inference(sat_conversion,[],[f2707]) ).
cnf(s202,plain,
( ~ spl2_27
| spl2_70 ),
inference(sat_conversion,[],[f2796]) ).
cnf(s250,plain,
( spl2_27
| ~ spl2_84
| spl2_86 ),
inference(sat_conversion,[],[f3623]) ).
cnf(s255,plain,
( spl2_14
| ~ spl2_5
| spl2_14
| ~ spl2_33
| ~ spl2_37
| spl2_41
| spl2_84 ),
inference(sat_conversion,[],[f3637]) ).
cnf(s256,plain,
( ~ spl2_5
| spl2_14
| ~ spl2_33
| ~ spl2_37
| spl2_41
| spl2_84 ),
inference(rat,[],[s255]) ).
cnf(s258,plain,
( ~ spl2_5
| spl2_18
| ~ spl2_33
| ~ spl2_37
| spl2_41
| spl2_84 ),
inference(sat_conversion,[],[f3642]) ).
cnf(s262,plain,
( spl2_8
| spl2_8
| ~ spl2_41 ),
inference(sat_conversion,[],[f3676]) ).
cnf(s263,plain,
( spl2_8
| ~ spl2_41 ),
inference(rat,[],[s262]) ).
cnf(s271,plain,
( spl2_14
| spl2_14
| spl2_41
| spl2_84
| ~ spl2_89 ),
inference(sat_conversion,[],[f3898]) ).
cnf(s272,plain,
( spl2_14
| spl2_41
| spl2_84
| ~ spl2_89 ),
inference(rat,[],[s271]) ).
cnf(s281,plain,
( ~ spl2_22
| spl2_37 ),
inference(sat_conversion,[],[f4024]) ).
cnf(s283,plain,
( spl2_5
| spl2_39 ),
inference(sat_conversion,[],[f4032]) ).
cnf(s304,plain,
( spl2_5
| spl2_8
| ~ spl2_19
| spl2_92 ),
inference(sat_conversion,[],[f4385]) ).
cnf(s318,plain,
( spl2_105
| spl2_106
| spl2_107 ),
inference(sat_conversion,[],[f4918]) ).
cnf(s337,plain,
( spl2_8
| ~ spl2_7
| spl2_5
| spl2_8
| ~ spl2_110 ),
inference(sat_conversion,[],[f5087]) ).
cnf(s338,plain,
( spl2_5
| ~ spl2_7
| spl2_8
| ~ spl2_110 ),
inference(rat,[],[s337]) ).
cnf(s351,plain,
( ~ spl2_40
| ~ spl2_121 ),
inference(sat_conversion,[],[f5176]) ).
cnf(s357,plain,
( ~ spl2_13
| spl2_22
| ~ spl2_120
| spl2_122 ),
inference(sat_conversion,[],[f5272]) ).
cnf(s358,plain,
( ~ spl2_13
| spl2_114
| ~ spl2_120
| spl2_123 ),
inference(sat_conversion,[],[f5276]) ).
cnf(s359,plain,
( spl2_103
| ~ spl2_122 ),
inference(sat_conversion,[],[f5293]) ).
cnf(s365,plain,
( ~ spl2_13
| spl2_106
| spl2_107
| ~ spl2_120 ),
inference(sat_conversion,[],[f5309]) ).
cnf(s368,plain,
( ~ spl2_105
| ~ spl2_120
| spl2_124 ),
inference(sat_conversion,[],[f5346]) ).
cnf(s369,plain,
( ~ spl2_94
| ~ spl2_105
| spl2_125
| spl2_126 ),
inference(sat_conversion,[],[f5354]) ).
cnf(s371,plain,
( ~ spl2_24
| ~ spl2_40
| ~ spl2_105
| spl2_110
| spl2_127 ),
inference(sat_conversion,[],[f5359]) ).
cnf(s379,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_13
| ~ spl2_19
| ~ spl2_43
| ~ spl2_120
| spl2_125 ),
inference(sat_conversion,[],[f5403]) ).
cnf(s382,plain,
( ~ spl2_24
| ~ spl2_40
| spl2_109
| spl2_110
| ~ spl2_114 ),
inference(sat_conversion,[],[f5449]) ).
cnf(s384,plain,
( ~ spl2_114
| ~ spl2_120
| spl2_129 ),
inference(sat_conversion,[],[f5451]) ).
cnf(s410,plain,
( spl2_56
| ~ spl2_130 ),
inference(sat_conversion,[],[f5715]) ).
cnf(s418,plain,
( ~ spl2_21
| spl2_107
| spl2_110
| spl2_150 ),
inference(sat_conversion,[],[f5745]) ).
cnf(s419,plain,
( ~ spl2_7
| spl2_107
| spl2_108 ),
inference(sat_conversion,[],[f5747]) ).
cnf(s421,plain,
( ~ spl2_32
| ~ spl2_108
| spl2_110
| spl2_150 ),
inference(sat_conversion,[],[f5752]) ).
cnf(s423,plain,
( ~ spl2_13
| ~ spl2_129 ),
inference(sat_conversion,[],[f5773]) ).
cnf(s424,plain,
( spl2_11
| ~ spl2_129 ),
inference(sat_conversion,[],[f5777]) ).
cnf(s425,plain,
( ~ spl2_24
| ~ spl2_106
| spl2_110
| spl2_151
| spl2_152 ),
inference(sat_conversion,[],[f5935]) ).
cnf(s428,plain,
( ~ spl2_2
| ~ spl2_9
| ~ spl2_106
| spl2_152
| spl2_154 ),
inference(sat_conversion,[],[f5948]) ).
cnf(s430,plain,
( ~ spl2_9
| ~ spl2_106
| ~ spl2_147
| spl2_154 ),
inference(sat_conversion,[],[f5950]) ).
cnf(s436,plain,
( spl2_89
| ~ spl2_109 ),
inference(sat_conversion,[],[f6193]) ).
cnf(s476,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_127 ),
inference(sat_conversion,[],[f6426]) ).
cnf(s477,plain,
( spl2_14
| spl2_41
| ~ spl2_127 ),
inference(rat,[],[s476]) ).
cnf(s485,plain,
( spl2_121
| spl2_121
| ~ spl2_131 ),
inference(sat_conversion,[],[f6526]) ).
cnf(s486,plain,
( spl2_121
| ~ spl2_131 ),
inference(rat,[],[s485]) ).
cnf(s487,plain,
( ~ spl2_108
| ~ spl2_131
| ~ spl2_147 ),
inference(sat_conversion,[],[f6534]) ).
cnf(s493,plain,
( spl2_105
| ~ spl2_146 ),
inference(sat_conversion,[],[f6555]) ).
cnf(s494,plain,
( spl2_114
| ~ spl2_146 ),
inference(sat_conversion,[],[f6556]) ).
cnf(s495,plain,
( spl2_111
| ~ spl2_146 ),
inference(sat_conversion,[],[f6557]) ).
cnf(s500,plain,
( spl2_107
| spl2_135 ),
inference(sat_conversion,[],[f6608]) ).
cnf(s501,plain,
( spl2_107
| spl2_135 ),
inference(sat_conversion,[],[f6610]) ).
cnf(s502,plain,
( spl2_107
| spl2_110
| spl2_135 ),
inference(sat_conversion,[],[f6612]) ).
cnf(s504,plain,
( spl2_146
| ~ spl2_145
| spl2_146 ),
inference(sat_conversion,[],[f6651]) ).
cnf(s505,plain,
( ~ spl2_145
| spl2_146 ),
inference(rat,[],[s504]) ).
cnf(s509,plain,
( ~ spl2_21
| spl2_107
| spl2_110
| spl2_111
| ~ spl2_145 ),
inference(sat_conversion,[],[f6662]) ).
cnf(s513,plain,
( ~ spl2_165
| spl2_183
| spl2_184 ),
inference(sat_conversion,[],[f6713]) ).
cnf(s530,plain,
( spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f6845]) ).
cnf(s535,plain,
( ~ spl2_7
| ~ spl2_171
| ~ spl2_183
| spl2_191
| spl2_196 ),
inference(sat_conversion,[],[f6934]) ).
cnf(s539,plain,
( ~ spl2_2
| ~ spl2_168
| ~ spl2_171
| ~ spl2_189 ),
inference(sat_conversion,[],[f6952]) ).
cnf(s554,plain,
( spl2_41
| ~ spl2_185
| ~ spl2_199 ),
inference(sat_conversion,[],[f7075]) ).
cnf(s557,plain,
( spl2_146
| spl2_131
| spl2_146
| ~ spl2_199 ),
inference(sat_conversion,[],[f7088]) ).
cnf(s558,plain,
( spl2_131
| spl2_146
| ~ spl2_199 ),
inference(rat,[],[s557]) ).
cnf(s563,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_199 ),
inference(sat_conversion,[],[f7102]) ).
cnf(s564,plain,
( spl2_14
| spl2_41
| ~ spl2_199 ),
inference(rat,[],[s563]) ).
cnf(s565,plain,
( spl2_8
| ~ spl2_7
| spl2_5
| spl2_8
| ~ spl2_199 ),
inference(sat_conversion,[],[f7104]) ).
cnf(s566,plain,
( spl2_5
| ~ spl2_7
| spl2_8
| ~ spl2_199 ),
inference(rat,[],[s565]) ).
cnf(s572,plain,
( spl2_18
| spl2_41
| ~ spl2_199 ),
inference(sat_conversion,[],[f7115]) ).
cnf(s573,plain,
( spl2_13
| ~ spl2_40
| spl2_41
| ~ spl2_199 ),
inference(sat_conversion,[],[f7117]) ).
cnf(s581,plain,
( ~ spl2_64
| spl2_168
| spl2_183
| spl2_199 ),
inference(sat_conversion,[],[f7154]) ).
cnf(s584,plain,
( ~ spl2_7
| spl2_168
| spl2_183 ),
inference(sat_conversion,[],[f7160]) ).
cnf(s586,plain,
( spl2_13
| ~ spl2_19
| spl2_168
| spl2_183 ),
inference(sat_conversion,[],[f7164]) ).
cnf(s590,plain,
( ~ spl2_2
| ~ spl2_167
| ~ spl2_191
| spl2_209 ),
inference(sat_conversion,[],[f7210]) ).
cnf(s593,plain,
( ~ spl2_167
| ~ spl2_191
| ~ spl2_193 ),
inference(sat_conversion,[],[f7214]) ).
cnf(s595,plain,
( ~ spl2_24
| ~ spl2_40
| ~ spl2_167
| spl2_199
| spl2_202 ),
inference(sat_conversion,[],[f7217]) ).
cnf(s598,plain,
( spl2_146
| spl2_131
| spl2_146
| ~ spl2_202 ),
inference(sat_conversion,[],[f7299]) ).
cnf(s599,plain,
( spl2_131
| spl2_146
| ~ spl2_202 ),
inference(rat,[],[s598]) ).
cnf(s608,plain,
( spl2_8
| ~ spl2_7
| spl2_5
| spl2_8
| ~ spl2_202 ),
inference(sat_conversion,[],[f7326]) ).
cnf(s609,plain,
( spl2_5
| ~ spl2_7
| spl2_8
| ~ spl2_202 ),
inference(rat,[],[s608]) ).
cnf(s610,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_202 ),
inference(sat_conversion,[],[f7327]) ).
cnf(s611,plain,
( spl2_14
| spl2_41
| ~ spl2_202 ),
inference(rat,[],[s610]) ).
cnf(s615,plain,
( spl2_18
| spl2_41
| ~ spl2_202 ),
inference(sat_conversion,[],[f7337]) ).
cnf(s627,plain,
( ~ spl2_40
| ~ spl2_196 ),
inference(sat_conversion,[],[f7405]) ).
cnf(s633,plain,
( ~ spl2_166
| spl2_189
| spl2_190 ),
inference(sat_conversion,[],[f7469]) ).
cnf(s639,plain,
( ~ spl2_15
| ~ spl2_170
| spl2_215
| ~ spl2_216 ),
inference(sat_conversion,[],[f7517]) ).
cnf(s647,plain,
( ~ spl2_135
| ~ spl2_165
| ~ spl2_184 ),
inference(sat_conversion,[],[f7574]) ).
cnf(s650,plain,
( ~ spl2_166
| ~ spl2_180
| spl2_199
| spl2_220 ),
inference(sat_conversion,[],[f7640]) ).
cnf(s653,plain,
( ~ spl2_147
| ~ spl2_191
| ~ spl2_220 ),
inference(sat_conversion,[],[f7673]) ).
cnf(s654,plain,
( ~ spl2_2
| spl2_152
| ~ spl2_191
| ~ spl2_220 ),
inference(sat_conversion,[],[f7676]) ).
cnf(s656,plain,
( ~ spl2_24
| ~ spl2_40
| spl2_110
| spl2_202
| ~ spl2_220 ),
inference(sat_conversion,[],[f7682]) ).
cnf(s659,plain,
( ~ spl2_108
| ~ spl2_164
| ~ spl2_193 ),
inference(sat_conversion,[],[f7713]) ).
cnf(s663,plain,
( ~ spl2_24
| ~ spl2_40
| spl2_110
| ~ spl2_164
| spl2_199 ),
inference(sat_conversion,[],[f7727]) ).
cnf(s664,plain,
( ~ spl2_24
| spl2_110
| ~ spl2_164
| spl2_199
| spl2_209 ),
inference(sat_conversion,[],[f7729]) ).
cnf(s701,plain,
( ~ spl2_8
| ~ spl2_208 ),
inference(sat_conversion,[],[f7855]) ).
cnf(s702,plain,
( ~ spl2_8
| ~ spl2_183 ),
inference(sat_conversion,[],[f7859]) ).
cnf(s707,plain,
( ~ spl2_8
| ~ spl2_107 ),
inference(sat_conversion,[],[f7872]) ).
cnf(s708,plain,
( ~ spl2_8
| spl2_216 ),
inference(sat_conversion,[],[f7877]) ).
cnf(s711,plain,
( ~ spl2_8
| ~ spl2_21
| ~ spl2_170
| spl2_202
| spl2_215 ),
inference(sat_conversion,[],[f7881]) ).
cnf(s713,plain,
( spl2_183
| spl2_216 ),
inference(sat_conversion,[],[f7883]) ).
cnf(s717,plain,
( ~ spl2_24
| ~ spl2_32
| spl2_33 ),
inference(sat_conversion,[],[f7894]) ).
cnf(s720,plain,
( spl2_105
| spl2_108
| spl2_122 ),
inference(sat_conversion,[],[f7897]) ).
cnf(s721,plain,
( spl2_108
| spl2_132 ),
inference(sat_conversion,[],[f7898]) ).
cnf(s722,plain,
( ~ spl2_21
| ~ spl2_170
| spl2_183
| spl2_202
| spl2_215 ),
inference(sat_conversion,[],[f7900]) ).
cnf(s745,plain,
( spl2_14
| spl2_14
| spl2_41
| spl2_58
| ~ spl2_86 ),
inference(sat_conversion,[],[f8061]) ).
cnf(s746,plain,
( spl2_14
| spl2_41
| spl2_58
| ~ spl2_86 ),
inference(rat,[],[s745]) ).
cnf(s795,plain,
( ~ spl2_86
| spl2_110 ),
inference(sat_conversion,[],[f8246]) ).
cnf(s804,plain,
( spl2_18
| spl2_41
| ~ spl2_110 ),
inference(sat_conversion,[],[f8313]) ).
cnf(s856,plain,
( ~ spl2_11
| spl2_21 ),
inference(sat_conversion,[],[f8617]) ).
cnf(s858,plain,
( ~ spl2_8
| ~ spl2_13 ),
inference(sat_conversion,[],[f8622]) ).
cnf(s859,plain,
( spl2_5
| ~ spl2_20 ),
inference(sat_conversion,[],[f8624]) ).
cnf(s863,plain,
( ~ spl2_8
| ~ spl2_41 ),
inference(sat_conversion,[],[f8705]) ).
cnf(s869,plain,
( ~ spl2_121
| spl2_152 ),
inference(sat_conversion,[],[f8733]) ).
cnf(s873,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_121
| ~ spl2_152 ),
inference(sat_conversion,[],[f8755]) ).
cnf(s875,plain,
( ~ spl2_6
| spl2_55 ),
inference(sat_conversion,[],[f8768]) ).
cnf(s878,plain,
( ~ spl2_6
| spl2_107 ),
inference(sat_conversion,[],[f8781]) ).
cnf(s880,plain,
( ~ spl2_185
| ~ spl2_194 ),
inference(sat_conversion,[],[f8790]) ).
cnf(s881,plain,
( ~ spl2_194
| spl2_209 ),
inference(sat_conversion,[],[f8793]) ).
cnf(s885,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_194
| ~ spl2_209 ),
inference(sat_conversion,[],[f8818]) ).
cnf(s889,plain,
( ~ spl2_124
| ~ spl2_183 ),
inference(sat_conversion,[],[f8832]) ).
cnf(s890,plain,
( ~ spl2_183
| spl2_186
| spl2_194 ),
inference(sat_conversion,[],[f8841]) ).
cnf(s894,plain,
( ~ spl2_196
| ~ spl2_198 ),
inference(sat_conversion,[],[f8857]) ).
cnf(s895,plain,
( ~ spl2_171
| ~ spl2_196 ),
inference(sat_conversion,[],[f8859]) ).
cnf(s902,plain,
( spl2_21
| ~ spl2_216 ),
inference(sat_conversion,[],[f8901]) ).
cnf(s904,plain,
( ~ spl2_7
| spl2_245 ),
inference(sat_conversion,[],[f8917]) ).
cnf(s905,plain,
( ~ spl2_9
| ~ spl2_20
| ~ spl2_183 ),
inference(sat_conversion,[],[f8925]) ).
cnf(s910,plain,
( ~ spl2_209
| ~ spl2_217 ),
inference(sat_conversion,[],[f8952]) ).
cnf(s917,plain,
( ~ spl2_126
| ~ spl2_191 ),
inference(sat_conversion,[],[f8992]) ).
cnf(s940,plain,
( ~ spl2_5
| ~ spl2_205
| ~ spl2_215 ),
inference(sat_conversion,[],[f9166]) ).
cnf(s941,plain,
( ~ spl2_170
| ~ spl2_218
| ~ spl2_258 ),
inference(sat_conversion,[],[f9177]) ).
cnf(s948,plain,
( ~ spl2_245
| spl2_247 ),
inference(sat_conversion,[],[f9207]) ).
cnf(s953,plain,
( spl2_146
| spl2_131
| spl2_146
| ~ spl2_223 ),
inference(sat_conversion,[],[f9306]) ).
cnf(s954,plain,
( spl2_131
| spl2_146
| ~ spl2_223 ),
inference(rat,[],[s953]) ).
cnf(s957,plain,
( spl2_215
| ~ spl2_219
| ~ spl2_249 ),
inference(sat_conversion,[],[f9346]) ).
cnf(s959,plain,
( ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(sat_conversion,[],[f9358]) ).
cnf(s960,plain,
( spl2_110
| ~ spl2_185
| ~ spl2_225
| spl2_249 ),
inference(sat_conversion,[],[f9360]) ).
cnf(s962,plain,
( spl2_111
| spl2_249 ),
inference(sat_conversion,[],[f9362]) ).
cnf(s964,plain,
( ~ spl2_5
| ~ spl2_111
| ~ spl2_147 ),
inference(sat_conversion,[],[f9372]) ).
cnf(s966,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_111
| ~ spl2_180
| ~ spl2_209 ),
inference(sat_conversion,[],[f9375]) ).
cnf(s972,plain,
( spl2_169
| ~ spl2_170
| ~ spl2_219
| spl2_261 ),
inference(sat_conversion,[],[f9426]) ).
cnf(s976,plain,
( ~ spl2_120
| ~ spl2_169
| ~ spl2_183 ),
inference(sat_conversion,[],[f9445]) ).
cnf(s979,plain,
( ~ spl2_172
| ~ spl2_197
| ~ spl2_198 ),
inference(sat_conversion,[],[f9480]) ).
cnf(s980,plain,
( ~ spl2_185
| ~ spl2_197
| ~ spl2_215 ),
inference(sat_conversion,[],[f9482]) ).
cnf(s981,plain,
( ~ spl2_190
| spl2_215
| ~ spl2_262 ),
inference(sat_conversion,[],[f9486]) ).
cnf(s982,plain,
( ~ spl2_171
| ~ spl2_183
| ~ spl2_195 ),
inference(sat_conversion,[],[f9509]) ).
cnf(s984,plain,
( ~ spl2_55
| spl2_120
| ~ spl2_169 ),
inference(sat_conversion,[],[f9537]) ).
cnf(s985,plain,
( ~ spl2_55
| ~ spl2_171
| spl2_195 ),
inference(sat_conversion,[],[f9538]) ).
cnf(s1008,plain,
( spl2_199
| spl2_263
| spl2_264 ),
inference(sat_conversion,[],[f9724]) ).
cnf(s1009,plain,
( spl2_199
| spl2_265
| spl2_266 ),
inference(sat_conversion,[],[f9731]) ).
cnf(s1010,plain,
( spl2_199
| spl2_267
| spl2_268 ),
inference(sat_conversion,[],[f9738]) ).
cnf(s1011,plain,
( ~ spl2_165
| ~ spl2_190
| ~ spl2_263 ),
inference(sat_conversion,[],[f9764]) ).
cnf(s1013,plain,
( ~ spl2_15
| ~ spl2_135
| spl2_215
| ~ spl2_263 ),
inference(sat_conversion,[],[f9767]) ).
cnf(s1017,plain,
( ~ spl2_108
| ~ spl2_205
| ~ spl2_264 ),
inference(sat_conversion,[],[f9785]) ).
cnf(s1020,plain,
( ~ spl2_165
| spl2_168
| spl2_212 ),
inference(sat_conversion,[],[f9789]) ).
cnf(s1023,plain,
( ~ spl2_23
| ~ spl2_39
| spl2_104
| ~ spl2_249 ),
inference(sat_conversion,[],[f9794]) ).
cnf(s1025,plain,
( ~ spl2_1
| ~ spl2_108 ),
inference(sat_conversion,[],[f9801]) ).
cnf(s1041,plain,
( ~ spl2_170
| spl2_191
| spl2_258 ),
inference(sat_conversion,[],[f9949]) ).
cnf(s1051,plain,
( spl2_275
| spl2_276
| ~ spl2_279 ),
inference(sat_conversion,[],[f10061]) ).
cnf(s1054,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_279 ),
inference(sat_conversion,[],[f10072]) ).
cnf(s1059,plain,
( ~ spl2_180
| ~ spl2_267
| spl2_270 ),
inference(sat_conversion,[],[f10114]) ).
cnf(s1061,plain,
( ~ spl2_193
| ~ spl2_268
| ~ spl2_273 ),
inference(sat_conversion,[],[f10127]) ).
cnf(s1067,plain,
( ~ spl2_2
| spl2_152
| ~ spl2_270
| ~ spl2_273 ),
inference(sat_conversion,[],[f10151]) ).
cnf(s1068,plain,
( ~ spl2_147
| ~ spl2_270
| ~ spl2_273 ),
inference(sat_conversion,[],[f10152]) ).
cnf(s1077,plain,
( ~ spl2_2
| spl2_22
| ~ spl2_168
| ~ spl2_265
| spl2_274 ),
inference(sat_conversion,[],[f10254]) ).
cnf(s1078,plain,
( ~ spl2_2
| ~ spl2_11
| ~ spl2_15
| ~ spl2_168
| ~ spl2_265
| spl2_287 ),
inference(sat_conversion,[],[f10255]) ).
cnf(s1082,plain,
( ~ spl2_168
| ~ spl2_265
| ~ spl2_280 ),
inference(sat_conversion,[],[f10290]) ).
cnf(s1087,plain,
( spl2_169
| ~ spl2_266
| ~ spl2_271 ),
inference(sat_conversion,[],[f10364]) ).
cnf(s1094,plain,
( ~ spl2_154
| ~ spl2_168
| spl2_199
| spl2_261 ),
inference(sat_conversion,[],[f10432]) ).
cnf(s1098,plain,
( ~ spl2_165
| ~ spl2_180
| ~ spl2_261 ),
inference(sat_conversion,[],[f10520]) ).
cnf(s1109,plain,
( spl2_120
| ~ spl2_186
| ~ spl2_261 ),
inference(sat_conversion,[],[f10538]) ).
cnf(s1115,plain,
( spl2_191
| ~ spl2_204
| spl2_261 ),
inference(sat_conversion,[],[f10552]) ).
cnf(s1116,plain,
( ~ spl2_204
| spl2_223
| spl2_273 ),
inference(sat_conversion,[],[f10553]) ).
cnf(s1142,plain,
( spl2_5
| spl2_24
| ~ spl2_36 ),
inference(sat_conversion,[],[f10946]) ).
cnf(s1146,plain,
( spl2_24
| ~ spl2_36
| spl2_191 ),
inference(sat_conversion,[],[f10953]) ).
cnf(s1173,plain,
( spl2_191
| ~ spl2_208
| ~ spl2_233
| spl2_261 ),
inference(sat_conversion,[],[f11211]) ).
cnf(s1176,plain,
( ~ spl2_7
| ~ spl2_92
| spl2_246 ),
inference(sat_conversion,[],[f11298]) ).
cnf(s1178,plain,
( ~ spl2_7
| ~ spl2_106
| ~ spl2_147
| spl2_155 ),
inference(sat_conversion,[],[f11390]) ).
cnf(s1181,plain,
( spl2_5
| spl2_8
| spl2_304 ),
inference(sat_conversion,[],[f11472]) ).
cnf(s1184,plain,
( ~ spl2_2
| spl2_8
| ~ spl2_11
| ~ spl2_21
| ~ spl2_108
| ~ spl2_150
| spl2_306 ),
inference(sat_conversion,[],[f11599]) ).
cnf(s1200,plain,
( ~ spl2_19
| ~ spl2_147
| ~ spl2_286
| spl2_310
| spl2_316 ),
inference(sat_conversion,[],[f12151]) ).
cnf(s1202,plain,
( ~ spl2_19
| ~ spl2_147
| spl2_198
| ~ spl2_224
| spl2_317 ),
inference(sat_conversion,[],[f12161]) ).
cnf(s1203,plain,
( ~ spl2_104
| ~ spl2_286
| ~ spl2_310 ),
inference(sat_conversion,[],[f12175]) ).
cnf(s1204,plain,
( spl2_1
| spl2_280
| ~ spl2_310 ),
inference(sat_conversion,[],[f12176]) ).
cnf(s1205,plain,
( ~ spl2_270
| spl2_308
| ~ spl2_317 ),
inference(sat_conversion,[],[f12197]) ).
cnf(s1208,plain,
( spl2_164
| ~ spl2_264
| ~ spl2_308 ),
inference(sat_conversion,[],[f12301]) ).
cnf(s1214,plain,
( spl2_169
| ~ spl2_220
| ~ spl2_308 ),
inference(sat_conversion,[],[f12310]) ).
cnf(s1217,plain,
( ~ spl2_190
| ~ spl2_201
| ~ spl2_209 ),
inference(sat_conversion,[],[f12319]) ).
cnf(s1220,plain,
( ~ spl2_13
| ~ spl2_172
| ~ spl2_186 ),
inference(sat_conversion,[],[f12323]) ).
cnf(s1221,plain,
( ~ spl2_5
| ~ spl2_185
| ~ spl2_193 ),
inference(sat_conversion,[],[f12324]) ).
cnf(s1226,plain,
( spl2_11
| ~ spl2_304
| spl2_320 ),
inference(sat_conversion,[],[f12336]) ).
cnf(s1234,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_201
| spl2_215 ),
inference(sat_conversion,[],[f12358]) ).
cnf(s1241,plain,
( ~ spl2_19
| ~ spl2_92
| spl2_168
| ~ spl2_183
| spl2_326 ),
inference(sat_conversion,[],[f12376]) ).
cnf(s1242,plain,
( ~ spl2_111
| ~ spl2_232
| ~ spl2_286
| spl2_292
| spl2_310 ),
inference(sat_conversion,[],[f12377]) ).
cnf(s1248,plain,
( spl2_5
| ~ spl2_19
| spl2_40 ),
inference(sat_conversion,[],[f12386]) ).
cnf(s1254,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_185
| spl2_209 ),
inference(sat_conversion,[],[f12395]) ).
cnf(s1266,plain,
( ~ spl2_151
| spl2_202
| spl2_208
| spl2_223 ),
inference(sat_conversion,[],[f12500]) ).
cnf(s1268,plain,
( ~ spl2_155
| spl2_199
| spl2_208 ),
inference(sat_conversion,[],[f12503]) ).
cnf(s1272,plain,
( ~ spl2_220
| spl2_308
| ~ spl2_316 ),
inference(sat_conversion,[],[f12547]) ).
cnf(s1283,plain,
( spl2_18
| spl2_41
| ~ spl2_292 ),
inference(sat_conversion,[],[f12651]) ).
cnf(s1287,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_292 ),
inference(sat_conversion,[],[f12656]) ).
cnf(s1288,plain,
( spl2_14
| spl2_41
| ~ spl2_292 ),
inference(rat,[],[s1287]) ).
cnf(s1296,plain,
( ~ spl2_150
| ~ spl2_164
| ~ spl2_197
| spl2_202
| spl2_215
| spl2_223 ),
inference(sat_conversion,[],[f12698]) ).
cnf(s1305,plain,
( spl2_185
| spl2_262 ),
inference(sat_conversion,[],[f12807]) ).
cnf(s1306,plain,
( ~ spl2_15
| ~ spl2_135
| ~ spl2_165
| spl2_185 ),
inference(sat_conversion,[],[f12808]) ).
cnf(s1310,plain,
( ~ spl2_150
| spl2_164
| spl2_185
| spl2_199
| spl2_261 ),
inference(sat_conversion,[],[f12812]) ).
cnf(s1313,plain,
( ~ spl2_180
| spl2_185
| ~ spl2_249 ),
inference(sat_conversion,[],[f12815]) ).
cnf(s1315,plain,
( ~ spl2_9
| ~ spl2_168
| ~ spl2_183 ),
inference(sat_conversion,[],[f12820]) ).
cnf(s1316,plain,
( ~ spl2_2
| ~ spl2_168
| ~ spl2_171
| spl2_201 ),
inference(sat_conversion,[],[f12822]) ).
cnf(s1317,plain,
( ~ spl2_39
| spl2_185
| ~ spl2_212 ),
inference(sat_conversion,[],[f12823]) ).
cnf(s1323,plain,
( spl2_5
| ~ spl2_19
| spl2_232 ),
inference(sat_conversion,[],[f12838]) ).
cnf(s1324,plain,
( ~ spl2_9
| ~ spl2_107
| ~ spl2_108 ),
inference(sat_conversion,[],[f12848]) ).
cnf(s1327,plain,
( ~ spl2_2
| spl2_11
| ~ spl2_107
| ~ spl2_108 ),
inference(sat_conversion,[],[f12854]) ).
cnf(s1328,plain,
( ~ spl2_11
| ~ spl2_15
| spl2_185
| ~ spl2_209 ),
inference(sat_conversion,[],[f12855]) ).
cnf(s1337,plain,
( ~ spl2_19
| spl2_168
| spl2_257 ),
inference(sat_conversion,[],[f12909]) ).
cnf(s1339,plain,
( ~ spl2_154
| ~ spl2_191
| spl2_202
| spl2_223 ),
inference(sat_conversion,[],[f12925]) ).
cnf(s1351,plain,
( ~ spl2_108
| ~ spl2_150
| spl2_202
| ~ spl2_205
| spl2_215
| spl2_223 ),
inference(sat_conversion,[],[f13036]) ).
cnf(s1358,plain,
( spl2_110
| ~ spl2_125
| spl2_168 ),
inference(sat_conversion,[],[f13142]) ).
cnf(s1362,plain,
( ~ spl2_7
| spl2_322 ),
inference(sat_conversion,[],[f13185]) ).
cnf(s1363,plain,
( ~ spl2_11
| ~ spl2_21
| spl2_232 ),
inference(sat_conversion,[],[f13190]) ).
cnf(s1365,plain,
( spl2_8
| spl2_92
| ~ spl2_232 ),
inference(sat_conversion,[],[f13244]) ).
cnf(s1369,plain,
( ~ spl2_123
| spl2_164
| spl2_172
| spl2_261 ),
inference(sat_conversion,[],[f13394]) ).
cnf(s1371,plain,
( ~ spl2_122
| spl2_168
| spl2_169
| spl2_261 ),
inference(sat_conversion,[],[f13410]) ).
cnf(s1375,plain,
( ~ spl2_7
| ~ spl2_304
| spl2_321 ),
inference(sat_conversion,[],[f13590]) ).
cnf(s1377,plain,
( ~ spl2_212
| spl2_325 ),
inference(sat_conversion,[],[f13609]) ).
cnf(s1420,plain,
( ~ spl2_92
| spl2_146
| ~ spl2_183
| ~ spl2_257
| ~ spl2_263
| spl2_347 ),
inference(sat_conversion,[],[f15527]) ).
cnf(s1458,plain,
( ~ spl2_7
| ~ spl2_186
| spl2_239
| ~ spl2_247
| ~ spl2_325 ),
inference(sat_conversion,[],[f18320]) ).
cnf(s1493,plain,
( ~ spl2_92
| spl2_168
| ~ spl2_183
| ~ spl2_186
| ~ spl2_219
| ~ spl2_247
| ~ spl2_257
| ~ spl2_325
| spl2_347 ),
inference(sat_conversion,[],[f19499]) ).
cnf(s1548,plain,
( spl2_1
| ~ spl2_43
| spl2_94
| spl2_168
| ~ spl2_183
| ~ spl2_239
| ~ spl2_257 ),
inference(sat_conversion,[],[f21901]) ).
cnf(s1591,plain,
( ~ spl2_7
| ~ spl2_186
| ~ spl2_325
| spl2_355 ),
inference(sat_conversion,[],[f24952]) ).
cnf(s1646,plain,
( spl2_24
| ~ spl2_143
| ~ spl2_186
| ~ spl2_322
| ~ spl2_325 ),
inference(sat_conversion,[],[f28214]) ).
cnf(s1704,plain,
( ~ spl2_183
| ~ spl2_265
| spl2_284
| spl2_292
| ~ spl2_306 ),
inference(sat_conversion,[],[f33408]) ).
cnf(s1705,plain,
( ~ spl2_171
| ~ spl2_183
| spl2_202
| spl2_223
| ~ spl2_306 ),
inference(sat_conversion,[],[f33415]) ).
cnf(s1817,plain,
( spl2_5
| ~ spl2_111
| spl2_172
| ~ spl2_212
| spl2_261
| ~ spl2_302 ),
inference(sat_conversion,[],[f38624]) ).
cnf(s1852,plain,
( ~ spl2_7
| ~ spl2_43
| ~ spl2_147
| ~ spl2_167
| spl2_168
| spl2_169
| ~ spl2_171
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| ~ spl2_197
| spl2_199
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(sat_conversion,[],[f40979]) ).
cnf(s1984,plain,
( ~ spl2_7
| ~ spl2_43
| spl2_130
| ~ spl2_147
| spl2_168
| spl2_169
| spl2_172
| ~ spl2_180
| ~ spl2_183
| ~ spl2_186
| spl2_199
| ~ spl2_204
| ~ spl2_205
| ~ spl2_247
| ~ spl2_257
| ~ spl2_322
| ~ spl2_325
| ~ spl2_347
| ~ spl2_355 ),
inference(sat_conversion,[],[f41367]) ).
cnf(s2024,plain,
( spl2_143
| ~ spl2_186
| spl2_204
| ~ spl2_239
| ~ spl2_247
| ~ spl2_325 ),
inference(sat_conversion,[],[f41508]) ).
cnf(s2035,plain,
( spl2_191
| spl2_208
| ~ spl2_247 ),
inference(sat_conversion,[],[f41557]) ).
cnf(s2038,plain,
( spl2_24
| ~ spl2_186
| spl2_204
| ~ spl2_239
| ~ spl2_322
| ~ spl2_325 ),
inference(sat_conversion,[],[f41566]) ).
cnf(s2160,plain,
( spl2_5
| ~ spl2_21
| spl2_64 ),
inference(sat_conversion,[],[f42199]) ).
cnf(s2203,plain,
( ~ spl2_185
| ~ spl2_197
| spl2_198
| spl2_202
| ~ spl2_232 ),
inference(sat_conversion,[],[f42333]) ).
cnf(s2231,plain,
( ~ spl2_320
| ~ spl2_326
| spl2_526 ),
inference(sat_conversion,[],[f42405]) ).
cnf(s2234,plain,
( ~ spl2_186
| ~ spl2_322
| ~ spl2_325
| spl2_526 ),
inference(sat_conversion,[],[f42414]) ).
cnf(s2370,plain,
( spl2_13
| ~ spl2_21
| spl2_185
| spl2_199
| ~ spl2_209 ),
inference(sat_conversion,[],[f42713]) ).
cnf(s2454,plain,
( spl2_172
| spl2_199
| spl2_204
| ~ spl2_212
| ~ spl2_246 ),
inference(sat_conversion,[],[f42841]) ).
cnf(s2478,plain,
( ~ spl2_23
| spl2_104
| spl2_110
| spl2_169
| ~ spl2_218 ),
inference(sat_conversion,[],[f42882]) ).
cnf(s2481,plain,
( ~ spl2_19
| spl2_104
| spl2_191
| spl2_199
| spl2_220 ),
inference(sat_conversion,[],[f42900]) ).
cnf(s2495,plain,
( spl2_168
| spl2_199
| spl2_204
| ~ spl2_212
| ~ spl2_321 ),
inference(sat_conversion,[],[f42943]) ).
cnf(s2524,plain,
( spl2_68
| ~ spl2_255 ),
inference(sat_conversion,[],[f43214]) ).
cnf(s2586,plain,
( spl2_110
| ~ spl2_121
| ~ spl2_326 ),
inference(sat_conversion,[],[f43330]) ).
cnf(s2589,plain,
( ~ spl2_121
| ~ spl2_257
| spl2_261 ),
inference(sat_conversion,[],[f43337]) ).
cnf(s2597,plain,
( ~ spl2_121
| spl2_123
| ~ spl2_152
| spl2_255 ),
inference(sat_conversion,[],[f43383]) ).
cnf(s2607,plain,
( spl2_107
| ~ spl2_183
| ~ spl2_261 ),
inference(sat_conversion,[],[f43494]) ).
cnf(s2619,plain,
( spl2_146
| ~ spl2_121
| spl2_146
| ~ spl2_261 ),
inference(sat_conversion,[],[f43517]) ).
cnf(s2620,plain,
( ~ spl2_121
| spl2_146
| ~ spl2_261 ),
inference(rat,[],[s2619]) ).
cnf(s2633,plain,
( spl2_8
| ~ spl2_185
| spl2_186 ),
inference(sat_conversion,[],[f43589]) ).
cnf(s2640,plain,
( ~ spl2_19
| spl2_108
| spl2_123 ),
inference(sat_conversion,[],[f43658]) ).
cnf(s2652,plain,
( spl2_104
| ~ spl2_114 ),
inference(sat_conversion,[],[f43754]) ).
cnf(s2653,plain,
( spl2_110
| spl2_111
| ~ spl2_114 ),
inference(sat_conversion,[],[f43756]) ).
cnf(s2663,plain,
( ~ spl2_225
| ~ spl2_325
| spl2_512 ),
inference(sat_conversion,[],[f43961]) ).
cnf(s2673,plain,
( spl2_108
| spl2_110
| ~ spl2_526 ),
inference(sat_conversion,[],[f44042]) ).
cnf(s2681,plain,
( spl2_121
| ~ spl2_123
| spl2_302 ),
inference(sat_conversion,[],[f44150]) ).
cnf(s2688,plain,
( ~ spl2_2
| spl2_201
| ~ spl2_273
| ~ spl2_551 ),
inference(sat_conversion,[],[f44414]) ).
cnf(s2690,plain,
( ~ spl2_21
| spl2_202
| spl2_215
| spl2_275
| spl2_292
| ~ spl2_552 ),
inference(sat_conversion,[],[f44459]) ).
cnf(s2694,plain,
( ~ spl2_15
| spl2_215
| ~ spl2_552
| ~ spl2_558 ),
inference(sat_conversion,[],[f44473]) ).
cnf(s2695,plain,
( ~ spl2_221
| ~ spl2_552
| ~ spl2_558 ),
inference(sat_conversion,[],[f44474]) ).
cnf(s2696,plain,
( ~ spl2_212
| ~ spl2_267
| spl2_273 ),
inference(sat_conversion,[],[f44476]) ).
cnf(s2697,plain,
( ~ spl2_122
| spl2_202
| spl2_270
| spl2_273 ),
inference(sat_conversion,[],[f44483]) ).
cnf(s2698,plain,
( ~ spl2_19
| spl2_104
| spl2_202
| spl2_270
| spl2_273 ),
inference(sat_conversion,[],[f44485]) ).
cnf(s2699,plain,
( ~ spl2_122
| spl2_270
| spl2_273
| spl2_284 ),
inference(sat_conversion,[],[f44486]) ).
cnf(s2705,plain,
( ~ spl2_275
| spl2_279
| spl2_288 ),
inference(sat_conversion,[],[f44509]) ).
cnf(s2706,plain,
( ~ spl2_9
| ~ spl2_273
| ~ spl2_275 ),
inference(sat_conversion,[],[f44511]) ).
cnf(s2707,plain,
( ~ spl2_9
| ~ spl2_186
| ~ spl2_212
| spl2_223
| ~ spl2_275 ),
inference(sat_conversion,[],[f44513]) ).
cnf(s2709,plain,
( ~ spl2_2
| spl2_11
| ~ spl2_273
| ~ spl2_275 ),
inference(sat_conversion,[],[f44516]) ).
cnf(s2716,plain,
( spl2_275
| spl2_558 ),
inference(sat_conversion,[],[f44551]) ).
cnf(s2720,plain,
( ~ spl2_270
| spl2_273
| spl2_309
| ~ spl2_512 ),
inference(sat_conversion,[],[f44563]) ).
cnf(s2731,plain,
( ~ spl2_9
| ~ spl2_183
| ~ spl2_186
| ~ spl2_212
| spl2_223
| ~ spl2_309 ),
inference(sat_conversion,[],[f44675]) ).
cnf(s2737,plain,
( ~ spl2_166
| spl2_168
| spl2_212 ),
inference(sat_conversion,[],[f44682]) ).
cnf(s2740,plain,
( ~ spl2_13
| ~ spl2_186
| spl2_209 ),
inference(sat_conversion,[],[f44685]) ).
cnf(s2748,plain,
( ~ spl2_19
| spl2_172
| ~ spl2_186
| spl2_233 ),
inference(sat_conversion,[],[f44696]) ).
cnf(s2749,plain,
( ~ spl2_107
| ~ spl2_164
| ~ spl2_186 ),
inference(sat_conversion,[],[f44697]) ).
cnf(s2750,plain,
( ~ spl2_262
| ~ spl2_272
| spl2_287 ),
inference(sat_conversion,[],[f44698]) ).
cnf(s2751,plain,
( ~ spl2_39
| spl2_111
| ~ spl2_122 ),
inference(sat_conversion,[],[f44700]) ).
cnf(s2757,plain,
( ~ spl2_21
| ~ spl2_166
| spl2_185
| spl2_199
| spl2_202
| spl2_208 ),
inference(sat_conversion,[],[f44721]) ).
cnf(s2759,plain,
( ~ spl2_107
| ~ spl2_123
| spl2_172
| ~ spl2_186
| spl2_261 ),
inference(sat_conversion,[],[f44723]) ).
cnf(s2775,plain,
( ~ spl2_166
| ~ spl2_217 ),
inference(sat_conversion,[],[f44800]) ).
cnf(s2776,plain,
( spl2_185
| ~ spl2_217 ),
inference(sat_conversion,[],[f44801]) ).
cnf(s2780,plain,
( ~ spl2_189
| spl2_215 ),
inference(sat_conversion,[],[f44830]) ).
cnf(s2793,plain,
( ~ spl2_120
| ~ spl2_208
| ~ spl2_220 ),
inference(sat_conversion,[],[f44963]) ).
cnf(s2797,plain,
( ~ spl2_120
| ~ spl2_270
| ~ spl2_275 ),
inference(sat_conversion,[],[f44979]) ).
cnf(s2800,plain,
( ~ spl2_191
| spl2_196
| spl2_205 ),
inference(sat_conversion,[],[f44988]) ).
cnf(s2802,plain,
( spl2_1
| ~ spl2_198
| spl2_205 ),
inference(sat_conversion,[],[f44997]) ).
cnf(s2803,plain,
( spl2_13
| ~ spl2_19
| ~ spl2_120
| ~ spl2_270
| spl2_273 ),
inference(sat_conversion,[],[f44999]) ).
cnf(s2804,plain,
( ~ spl2_1
| ~ spl2_168 ),
inference(sat_conversion,[],[f45006]) ).
cnf(s2805,plain,
( ~ spl2_1
| ~ spl2_191 ),
inference(sat_conversion,[],[f45011]) ).
cnf(s2806,plain,
( ~ spl2_19
| spl2_104
| spl2_110
| spl2_168
| spl2_169 ),
inference(sat_conversion,[],[f45013]) ).
cnf(s2808,plain,
( spl2_168
| spl2_218 ),
inference(sat_conversion,[],[f45015]) ).
cnf(s2810,plain,
( ~ spl2_19
| spl2_108
| spl2_110
| spl2_164
| spl2_172 ),
inference(sat_conversion,[],[f45017]) ).
cnf(s2816,plain,
( spl2_169
| spl2_180
| ~ spl2_209 ),
inference(sat_conversion,[],[f45055]) ).
cnf(s2836,plain,
( ~ spl2_266
| spl2_270
| spl2_271 ),
inference(sat_conversion,[],[f45256]) ).
cnf(s2845,plain,
( ~ spl2_166
| ~ spl2_272
| ~ spl2_554 ),
inference(sat_conversion,[],[f45433]) ).
cnf(s2852,plain,
( ~ spl2_191
| ~ spl2_280
| ~ spl2_553 ),
inference(sat_conversion,[],[f45452]) ).
cnf(s2857,plain,
( spl2_131
| spl2_145
| ~ spl2_284 ),
inference(sat_conversion,[],[f45528]) ).
cnf(s2858,plain,
( spl2_146
| spl2_131
| spl2_146
| ~ spl2_284 ),
inference(sat_conversion,[],[f45529]) ).
cnf(s2859,plain,
( spl2_131
| spl2_146
| ~ spl2_284 ),
inference(rat,[],[s2858]) ).
cnf(s2862,plain,
( ~ spl2_104
| spl2_209
| ~ spl2_225 ),
inference(sat_conversion,[],[f45532]) ).
cnf(s2866,plain,
( spl2_14
| spl2_184
| spl2_185
| spl2_199 ),
inference(sat_conversion,[],[f45536]) ).
cnf(s2867,plain,
( ~ spl2_19
| spl2_167
| spl2_172
| spl2_191
| spl2_261 ),
inference(sat_conversion,[],[f45538]) ).
cnf(s2868,plain,
( ~ spl2_23
| spl2_198
| ~ spl2_552
| ~ spl2_568 ),
inference(sat_conversion,[],[f45542]) ).
cnf(s2872,plain,
( ~ spl2_2
| ~ spl2_5
| spl2_201
| ~ spl2_215 ),
inference(sat_conversion,[],[f45551]) ).
cnf(s2882,plain,
( ~ spl2_2
| ~ spl2_108
| ~ spl2_164
| spl2_209 ),
inference(sat_conversion,[],[f45564]) ).
cnf(s2885,plain,
( ~ spl2_19
| spl2_168
| spl2_171
| spl2_198
| spl2_261 ),
inference(sat_conversion,[],[f45571]) ).
cnf(s2900,plain,
( ~ spl2_110
| spl2_199 ),
inference(sat_conversion,[],[f45639]) ).
cnf(s2904,plain,
( ~ spl2_110
| spl2_261 ),
inference(sat_conversion,[],[f45647]) ).
cnf(s2909,plain,
( spl2_14
| spl2_14
| spl2_41
| ~ spl2_110 ),
inference(sat_conversion,[],[f45653]) ).
cnf(s2910,plain,
( spl2_14
| spl2_41
| ~ spl2_110 ),
inference(rat,[],[s2909]) ).
cnf(s2911,plain,
( ~ spl2_2
| spl2_152
| ~ spl2_168
| ~ spl2_169 ),
inference(sat_conversion,[],[f45654]) ).
cnf(s2912,plain,
( spl2_110
| spl2_170
| spl2_171 ),
inference(sat_conversion,[],[f45667]) ).
cnf(s2913,plain,
( spl2_14
| spl2_106
| spl2_110
| spl2_111 ),
inference(sat_conversion,[],[f45668]) ).
cnf(s2914,plain,
( spl2_110
| spl2_166
| spl2_167 ),
inference(sat_conversion,[],[f45669]) ).
cnf(s2915,plain,
( spl2_7
| ~ spl2_11
| spl2_22 ),
inference(sat_conversion,[],[f45684]) ).
cnf(s2917,plain,
( spl2_5
| spl2_7
| ~ spl2_11 ),
inference(sat_conversion,[],[f45686]) ).
cnf(s2921,plain,
( ~ spl2_10
| ~ spl2_273 ),
inference(sat_conversion,[],[f45708]) ).
cnf(s2927,plain,
( spl2_13
| ~ spl2_21
| spl2_111
| ~ spl2_152 ),
inference(sat_conversion,[],[f45738]) ).
cnf(s2930,plain,
( spl2_131
| ~ spl2_169
| ~ spl2_261 ),
inference(sat_conversion,[],[f45805]) ).
cnf(s2935,plain,
( spl2_131
| ~ spl2_164
| ~ spl2_261 ),
inference(sat_conversion,[],[f45814]) ).
cnf(s2937,plain,
( spl2_121
| ~ spl2_225
| ~ spl2_261 ),
inference(sat_conversion,[],[f45816]) ).
cnf(s2938,plain,
( spl2_131
| spl2_145
| ~ spl2_261 ),
inference(sat_conversion,[],[f45817]) ).
cnf(s2939,plain,
( spl2_146
| spl2_131
| spl2_146
| ~ spl2_261 ),
inference(sat_conversion,[],[f45818]) ).
cnf(s2940,plain,
( spl2_131
| spl2_146
| ~ spl2_261 ),
inference(rat,[],[s2939]) ).
cnf(s2942,plain,
( ~ spl2_103
| spl2_131
| ~ spl2_132
| ~ spl2_261 ),
inference(sat_conversion,[],[f45820]) ).
cnf(s2943,plain,
( ~ spl2_20
| spl2_108 ),
inference(sat_conversion,[],[f45825]) ).
cnf(s2944,plain,
( ~ spl2_5
| spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f45828]) ).
cnf(s2945,plain,
( spl2_1
| spl2_9
| ~ spl2_13 ),
inference(sat_conversion,[],[f45837]) ).
cnf(s2946,plain,
( spl2_1
| ~ spl2_104
| spl2_147 ),
inference(sat_conversion,[],[f45844]) ).
cnf(s2947,plain,
( spl2_261
| spl2_553
| spl2_554 ),
inference(sat_conversion,[],[f45855]) ).
cnf(s2949,plain,
( spl2_261
| spl2_551
| spl2_552 ),
inference(sat_conversion,[],[f45857]) ).
cnf(s2951,plain,
( spl2_166
| spl2_167
| spl2_261 ),
inference(sat_conversion,[],[f45859]) ).
cnf(s2952,plain,
( ~ spl2_23
| spl2_167
| spl2_172
| ~ spl2_188
| spl2_261 ),
inference(sat_conversion,[],[f45860]) ).
cnf(s2959,plain,
( spl2_22
| ~ spl2_209
| spl2_212 ),
inference(sat_conversion,[],[f45918]) ).
cnf(s2960,plain,
( spl2_183
| spl2_184
| ~ spl2_209 ),
inference(sat_conversion,[],[f45919]) ).
cnf(s2961,plain,
( spl2_168
| ~ spl2_209
| spl2_212 ),
inference(sat_conversion,[],[f45920]) ).
cnf(s2971,plain,
( ~ spl2_201
| spl2_219
| spl2_220 ),
inference(sat_conversion,[],[f45987]) ).
cnf(s2975,plain,
( spl2_184
| ~ spl2_216
| spl2_217 ),
inference(sat_conversion,[],[f46012]) ).
cnf(s2982,plain,
( spl2_108
| spl2_122
| ~ spl2_249 ),
inference(sat_conversion,[],[f46080]) ).
cnf(s2983,plain,
( ~ spl2_201
| spl2_208
| spl2_221 ),
inference(sat_conversion,[],[f46081]) ).
cnf(s2984,plain,
( ~ spl2_108
| spl2_121
| spl2_147 ),
inference(sat_conversion,[],[f46084]) ).
cnf(s2993,plain,
( spl2_146
| spl2_219
| ~ spl2_263 ),
inference(sat_conversion,[],[f46201]) ).
cnf(s2994,plain,
( spl2_219
| spl2_220
| ~ spl2_263 ),
inference(sat_conversion,[],[f46202]) ).
cnf(s2997,plain,
( ~ spl2_5
| ~ spl2_280
| ~ spl2_287 ),
inference(sat_conversion,[],[f46212]) ).
cnf(s3003,plain,
( ~ spl2_167
| spl2_196
| spl2_197 ),
inference(sat_conversion,[],[f46276]) ).
cnf(s3013,plain,
( ~ spl2_266
| spl2_275
| spl2_276 ),
inference(sat_conversion,[],[f46366]) ).
cnf(s3027,plain,
( ~ spl2_23
| ~ spl2_188
| spl2_310
| ~ spl2_554 ),
inference(sat_conversion,[],[f46488]) ).
cnf(s3029,plain,
( ~ spl2_188
| ~ spl2_274
| ~ spl2_554 ),
inference(sat_conversion,[],[f46493]) ).
cnf(s3038,plain,
( ~ spl2_208
| ~ spl2_288
| ~ spl2_553 ),
inference(sat_conversion,[],[f46550]) ).
cnf(s3043,plain,
( ~ spl2_197
| ~ spl2_268
| ~ spl2_551 ),
inference(sat_conversion,[],[f46602]) ).
cnf(s3046,plain,
( spl2_273
| spl2_568 ),
inference(sat_conversion,[],[f46612]) ).
cnf(s3048,plain,
( ~ spl2_273
| spl2_279
| spl2_280 ),
inference(sat_conversion,[],[f46616]) ).
cnf(s3049,plain,
( ~ spl2_279
| ~ spl2_553 ),
inference(sat_conversion,[],[f46624]) ).
cnf(s3050,plain,
( ~ spl2_265
| ~ spl2_279 ),
inference(sat_conversion,[],[f46628]) ).
cnf(s3053,plain,
( spl2_168
| spl2_261
| ~ spl2_550 ),
inference(sat_conversion,[],[f46684]) ).
cnf(s3056,plain,
( ~ spl2_219
| spl2_270
| ~ spl2_552 ),
inference(sat_conversion,[],[f46700]) ).
cnf(s3058,plain,
( spl2_202
| ~ spl2_219
| spl2_270
| ~ spl2_552 ),
inference(sat_conversion,[],[f46702]) ).
cnf(s3059,plain,
( ~ spl2_167
| ~ spl2_220
| ~ spl2_225 ),
inference(sat_conversion,[],[f46704]) ).
cnf(s3060,plain,
( spl2_110
| spl2_164
| spl2_165 ),
inference(sat_conversion,[],[f46705]) ).
cnf(s3063,plain,
( spl2_146
| spl2_164
| spl2_180
| spl2_261 ),
inference(sat_conversion,[],[f46708]) ).
cnf(s3064,plain,
( spl2_114
| spl2_123
| ~ spl2_152 ),
inference(sat_conversion,[],[f46731]) ).
cnf(s3065,plain,
( spl2_108
| spl2_122
| ~ spl2_152 ),
inference(sat_conversion,[],[f46732]) ).
cnf(s3066,plain,
( spl2_22
| spl2_122
| ~ spl2_152 ),
inference(sat_conversion,[],[f46733]) ).
cnf(s3069,plain,
( ~ spl2_107
| spl2_120
| spl2_121 ),
inference(sat_conversion,[],[f46752]) ).
cnf(s3070,plain,
( spl2_8
| ~ spl2_111
| spl2_120 ),
inference(sat_conversion,[],[f46757]) ).
cnf(s3071,plain,
( ~ spl2_168
| spl2_193
| spl2_194 ),
inference(sat_conversion,[],[f46766]) ).
cnf(s3072,plain,
( spl2_1
| ~ spl2_172
| spl2_193 ),
inference(sat_conversion,[],[f46771]) ).
cnf(s3073,plain,
( ~ spl2_196
| ~ spl2_215 ),
inference(sat_conversion,[],[f46790]) ).
cnf(s3075,plain,
( spl2_146
| ~ spl2_165
| spl2_180 ),
inference(sat_conversion,[],[f46825]) ).
cnf(s3076,plain,
( ~ spl2_165
| spl2_169
| spl2_180 ),
inference(sat_conversion,[],[f46826]) ).
cnf(s3083,plain,
( ~ spl2_107
| ~ spl2_195
| ~ spl2_264 ),
inference(sat_conversion,[],[f46866]) ).
cnf(s3084,plain,
( spl2_121
| spl2_224
| ~ spl2_264 ),
inference(sat_conversion,[],[f46867]) ).
cnf(s3085,plain,
( spl2_8
| ~ spl2_287
| spl2_288 ),
inference(sat_conversion,[],[f46872]) ).
cnf(s3086,plain,
( ~ spl2_171
| spl2_194
| spl2_197 ),
inference(sat_conversion,[],[f46898]) ).
cnf(s3087,plain,
( ~ spl2_270
| spl2_279
| spl2_286 ),
inference(sat_conversion,[],[f46905]) ).
cnf(s3089,plain,
( ~ spl2_216
| ~ spl2_266
| ~ spl2_276 ),
inference(sat_conversion,[],[f46940]) ).
cnf(s3090,plain,
( spl2_217
| ~ spl2_266
| spl2_272 ),
inference(sat_conversion,[],[f46941]) ).
cnf(s3093,plain,
( ~ spl2_184
| ~ spl2_267
| ~ spl2_558 ),
inference(sat_conversion,[],[f46978]) ).
cnf(s3097,plain,
( ~ spl2_21
| ~ spl2_120
| spl2_185
| spl2_199
| ~ spl2_267
| ~ spl2_270
| spl2_292 ),
inference(sat_conversion,[],[f46984]) ).
cnf(s3099,plain,
( ~ spl2_121
| ~ spl2_270 ),
inference(sat_conversion,[],[f46993]) ).
cnf(s3100,plain,
( ~ spl2_23
| ~ spl2_121
| spl2_550 ),
inference(sat_conversion,[],[f46999]) ).
cnf(s3103,plain,
( spl2_114
| spl2_150
| ~ spl2_249 ),
inference(sat_conversion,[],[f47029]) ).
cnf(s3104,plain,
( spl2_121
| ~ spl2_164
| spl2_225 ),
inference(sat_conversion,[],[f47039]) ).
cnf(s3105,plain,
( ~ spl2_169
| spl2_194
| spl2_225 ),
inference(sat_conversion,[],[f47044]) ).
cnf(s3106,plain,
( spl2_8
| spl2_195
| ~ spl2_215 ),
inference(sat_conversion,[],[f47049]) ).
cnf(s3113,plain,
( ~ spl2_166
| spl2_189
| spl2_190 ),
inference(sat_conversion,[],[f47113]) ).
cnf(s3115,plain,
( ~ spl2_170
| spl2_190
| spl2_217 ),
inference(sat_conversion,[],[f47137]) ).
cnf(s3120,plain,
( spl2_106
| spl2_107
| ~ spl2_249 ),
inference(sat_conversion,[],[f47161]) ).
cnf(s3122,plain,
( ~ spl2_170
| spl2_219
| spl2_220 ),
inference(sat_conversion,[],[f47167]) ).
cnf(s3125,plain,
( ~ spl2_225
| ~ spl2_268
| ~ spl2_270 ),
inference(sat_conversion,[],[f47170]) ).
cnf(s3128,plain,
( ~ spl2_18
| ~ spl2_184
| spl2_185 ),
inference(sat_conversion,[],[f47173]) ).
cnf(s3129,plain,
~ spl2_255,
inference(rat,[],[s2524,s198]) ).
cnf(s3135,plain,
( spl2_47
| ~ spl2_59 ),
inference(rat,[],[s168,s198]) ).
cnf(s3137,plain,
~ spl2_56,
inference(rat,[],[s119,s140]) ).
cnf(s3138,plain,
~ spl2_130,
inference(rat,[],[s410,s3137]) ).
cnf(s3140,plain,
~ spl2_59,
inference(rat,[],[s3135,s95]) ).
cnf(s3141,plain,
~ spl2_70,
inference(rat,[],[s179,s3140]) ).
cnf(s3143,plain,
~ spl2_27,
inference(rat,[],[s202,s3141]) ).
cnf(s3160,plain,
( ~ spl2_1
| ~ spl2_24 ),
inference(rat,[],[s59,s3143]) ).
cnf(s3168,plain,
( ~ spl2_197
| ~ spl2_172
| ~ spl2_185
| spl2_202
| ~ spl2_232 ),
inference(rat,[],[s979,s2203]) ).
cnf(s3169,plain,
( ~ spl2_220
| ~ spl2_120
| ~ spl2_147
| ~ spl2_247 ),
inference(rat,[],[s2035,s653,s2793]) ).
cnf(s3170,plain,
( ~ spl2_266
| ~ spl2_216
| spl2_169
| ~ spl2_120 ),
inference(rat,[],[s2797,s2836,s3013,s1087,s3089]) ).
cnf(s3175,plain,
( ~ spl2_265
| spl2_261
| ~ spl2_208
| ~ spl2_188
| ~ spl2_168
| ~ spl2_11
| spl2_8
| ~ spl2_15
| spl2_22
| ~ spl2_2 ),
inference(rat,[],[s3038,s2947,s3085,s3029,s1078,s1077]) ).
cnf(s3178,plain,
( spl2_169
| ~ spl2_208
| ~ spl2_120
| spl2_261
| ~ spl2_168
| ~ spl2_165
| spl2_209
| spl2_13
| spl2_199
| spl2_8
| ~ spl2_15
| spl2_20
| spl2_1 ),
inference(rat,[],[s2803,s1068,s2836,s1087,s1009,s2946,s3175,s2481,s530,s590,s2951,s650,s3076,s1,s16,s13,s7,s2793]) ).
cnf(s3179,plain,
( ~ spl2_208
| spl2_164
| ~ spl2_120
| spl2_261
| ~ spl2_168
| ~ spl2_165
| spl2_209
| spl2_13
| spl2_199
| spl2_8
| ~ spl2_15
| spl2_20
| spl2_1 ),
inference(rat,[],[s650,s2951,s3063,s593,s494,s2481,s2652,s2862,s3105,s3178,s2793,s13,s3071,s881]) ).
cnf(s3180,plain,
( ~ spl2_266
| spl2_169
| ~ spl2_166
| ~ spl2_191
| ~ spl2_120
| spl2_261
| spl2_279
| spl2_13
| ~ spl2_19 ),
inference(rat,[],[s2852,s3048,s2947,s2803,s2845,s2836,s3090,s1087,s2775]) ).
cnf(s3185,plain,
( spl2_273
| ~ spl2_120
| spl2_104
| spl2_13
| spl2_202
| ~ spl2_19 ),
inference(rat,[],[s2698,s2803]) ).
cnf(s3186,plain,
( spl2_191
| ~ spl2_120
| spl2_104
| spl2_199
| ~ spl2_247
| ~ spl2_19 ),
inference(rat,[],[s2793,s2481,s2035]) ).
cnf(s3187,plain,
( ~ spl2_164
| spl2_209
| spl2_279
| spl2_13
| spl2_8
| ~ spl2_7
| spl2_5
| ~ spl2_2 ),
inference(rat,[],[s2845,s2947,s2951,s2852,s593,s3186,s3090,s1009,s1082,s3048,s3185,s3071,s584,s2776,s890,s959,s2749,s3069,s1023,s419,s2862,s2882,s2935,s3104,s283,s15,s16,s486,s351,s1248,s13,s859,s948,s904,s609,s566,s881]) ).
cnf(s3189,plain,
( ~ spl2_261
| ~ spl2_165
| spl2_131 ),
inference(rat,[],[s3076,s1098,s2930]) ).
cnf(s3191,plain,
( ~ spl2_104
| ~ spl2_166
| ~ spl2_165
| spl2_209
| ~ spl2_120
| spl2_199
| ~ spl2_247
| spl2_1 ),
inference(rat,[],[s3076,s650,s3105,s3169,s2862,s2946,s881]) ).
cnf(s3192,plain,
( ~ spl2_168
| spl2_209
| ~ spl2_120
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s1009,s3180,s1082,s3105,s3048,s959,s3185,s1023,s3191,s2757,s2951,s593,s2035,s3179,s3071,s283,s15,s16,s14,s948,s904,s609,s566,s881,s3189,s3060,s3187,s1054,s7,s8,s10,s1,s338,s3,s486,s351,s1248,s13,s859]) ).
cnf(s3196,plain,
( spl2_168
| ~ spl2_239
| spl2_94
| ~ spl2_43
| ~ spl2_7
| ~ spl2_19
| spl2_1 ),
inference(rat,[],[s1548,s584,s1337]) ).
cnf(s3197,plain,
( ~ spl2_209
| spl2_94
| spl2_24
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s539,s2912,s633,s3115,s1011,s1008,s2951,s1017,s593,s2800,s1115,s3189,s3060,s659,s3071,s3196,s2038,s2673,s1458,s2234,s2633,s1377,s885,s2370,s910,s2959,s1,s16,s627,s486,s351,s14,s8,s10,s1362,s948,s904,s63,s1248,s13,s859,s566,s338,s3,s7]) ).
cnf(s3198,plain,
( spl2_168
| ~ spl2_165
| spl2_194
| spl2_94
| ~ spl2_43
| ~ spl2_7
| ~ spl2_19
| spl2_1 ),
inference(rat,[],[s1458,s1377,s890,s3196,s1020,s584,s948,s904]) ).
cnf(s3199,plain,
( spl2_94
| spl2_24
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s1200,s1203,s1272,s1214,s3087,s3122,s2836,s972,s1087,s2912,s1009,s1705,s1704,s513,s2911,s954,s1023,s1184,s2984,s647,s2857,s2927,s495,s962,s418,s419,s502,s509,s3070,s3069,s3192,s3198,s3189,s3060,s3187,s881,s3197,s1,s283,s15,s16,s486,s351,s14,s63,s1248,s13,s859,s609,s566,s338,s3,s1288,s263,s1054,s7,s8,s10]) ).
cnf(s3200,plain,
( ~ spl2_120
| spl2_209
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s2951,s3191,s590,s2478,s1115,s976,s2495,s1020,s584,s2808,s3192,s15,s16,s948,s904,s566,s1375,s1181,s3189,s3060,s3187,s1054,s7,s8,s10,s1,s338,s3,s486,s351,s1248,s13,s859]) ).
cnf(s3201,plain,
( spl2_209
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s1200,s1203,s1272,s1214,s3087,s3122,s2836,s972,s1087,s3105,s2912,s1009,s2862,s1705,s1704,s513,s954,s1023,s1184,s2984,s647,s2857,s495,s962,s418,s419,s502,s509,s3070,s3069,s3200,s3189,s3060,s3187,s881,s1,s283,s15,s16,s486,s351,s1248,s13,s859,s14,s609,s566,s338,s3,s1288,s263,s1054,s7,s8,s10]) ).
cnf(s3202,plain,
( ~ spl2_165
| spl2_220
| ~ spl2_204
| ~ spl2_325
| spl2_194
| ~ spl2_185
| spl2_217
| ~ spl2_11
| spl2_8
| spl2_6
| spl2_5
| ~ spl2_2 ),
inference(rat,[],[s1852,s3076,s1493,s3105,s584,s1337,s2951,s959,s1316,s633,s957,s1234,s2780,s3168,s980,s3086,s2912,s3115,s2994,s1011,s1008,s1017,s2800,s1115,s3189,s1323,s627,s486,s8,s10,s948,s904,s304,s63,s609,s566,s1591,s2984,s2673,s2234,s1362,s2633,s338,s3,s351,s1248,s13,s859]) ).
cnf(s3203,plain,
( ~ spl2_120
| spl2_24
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s1420,s493,s1984,s2816,s1008,s369,s976,s1017,s1358,s584,s1337,s2800,s917,s3072,s3071,s1115,s659,s2935,s3060,s3202,s3169,s1,s627,s486,s304,s63,s910,s885,s8,s10,s7,s1591,s2984,s2673,s2234,s338,s351,s1248,s13,s3199,s2038,s1458,s948,s904,s1377,s2959,s16,s859,s1362,s2633,s2370,s3201,s14,s566,s3,s3138]) ).
cnf(s3204,plain,
( spl2_24
| spl2_13
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s2688,s1217,s2949,s3115,s3056,s2912,s2994,s3086,s1008,s980,s1067,s1017,s1351,s1116,s654,s2800,s954,s1115,s2927,s495,s418,s1109,s3070,s3069,s3203,s2038,s1,s627,s486,s351,s1248,s13,s609,s910,s885,s8,s10,s7,s1458,s948,s904,s2673,s2234,s1377,s2959,s16,s859,s1362,s2633,s2370,s3201,s14,s566,s338,s3]) ).
cnf(s3205,plain,
( ~ spl2_24
| spl2_109
| spl2_110
| spl2_199
| spl2_202
| ~ spl2_40 ),
inference(rat,[],[s650,s3075,s494,s2914,s3060,s382,s595,s656,s663]) ).
cnf(s3207,plain,
( ~ spl2_266
| ~ spl2_120
| ~ spl2_216
| spl2_209
| ~ spl2_9
| spl2_202
| ~ spl2_19 ),
inference(rat,[],[s2698,s2797,s2706,s2862,s3013,s3105,s3089,s3170,s881]) ).
cnf(s3208,plain,
( ~ spl2_120
| ~ spl2_168
| spl2_209
| ~ spl2_13
| spl2_292
| spl2_199
| spl2_202
| spl2_5
| spl2_1 ),
inference(rat,[],[s3087,s2699,s1242,s3048,s1204,s1082,s3050,s1009,s3207,s2859,s494,s2751,s384,s357,s283,s16,s1323,s486,s351,s1248,s13,s859,s423,s2945,s713,s890,s2740,s881]) ).
cnf(s3209,plain,
( spl2_209
| spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s3060,s2882,s1306,s419,s502,s3069,s3208,s584,s2633,s890,s2740,s881,s1,s351,s8,s1288,s3204,s3205,s436,s272,s250,s746,s10,s263,s338,s566,s609,s3,s1248,s13,s859,s3143,s140]) ).
cnf(s3210,plain,
( ~ spl2_120
| spl2_107
| ~ spl2_147
| ~ spl2_9
| ~ spl2_13
| spl2_110
| spl2_199
| ~ spl2_43
| ~ spl2_7
| spl2_5 ),
inference(rat,[],[s1094,s2940,s430,s494,s1358,s365,s384,s379,s486,s351,s1248,s13,s859,s423]) ).
cnf(s3211,plain,
( spl2_8
| spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s1339,s430,s954,s1115,s2913,s495,s1109,s3070,s3210,s1324,s2984,s2673,s2454,s2234,s1220,s2633,s1317,s1377,s2959,s3209,s2945,s3204,s3205,s436,s272,s250,s1176,s746,s338,s566,s609,s63,s304,s263,s283,s16,s486,s351,s1248,s13,s859,s10,s1362,s3,s3143,s140]) ).
cnf(s3212,plain,
( spl2_6
| spl2_5
| spl2_1 ),
inference(rat,[],[s318,s371,s1178,s2984,s1142,s1268,s419,s477,s564,s2910,s37,s701,s707,s863,s3211,s3,s10,s351,s1248,s13,s859]) ).
cnf(s3213,plain,
( ~ spl2_168
| spl2_209
| spl2_13
| ~ spl2_7
| spl2_5
| spl2_1 ),
inference(rat,[],[s1009,s3180,s1082,s3105,s3048,s959,s3185,s1023,s3191,s2757,s2914,s590,s2035,s3179,s283,s15,s16,s3069,s609,s566,s948,s904,s856,s881,s3189,s3060,s3187,s1054,s8,s9,s7,s1,s338,s707,s878,s3212,s486,s351,s1248,s13,s859]) ).
cnf(s3214,plain,
( spl2_209
| spl2_13
| ~ spl2_7
| spl2_5
| spl2_1 ),
inference(rat,[],[s2914,s3191,s590,s2806,s1115,s976,s2495,s1020,s584,s3213,s3189,s3060,s3187,s1,s486,s3069,s351,s1248,s13,s859,s566,s338,s1375,s1181,s707,s878,s3212,s948,s904,s1054,s8,s9,s7]) ).
cnf(s3215,plain,
( spl2_13
| ~ spl2_7
| spl2_5
| spl2_1 ),
inference(rat,[],[s1316,s584,s1234,s982,s980,s985,s3086,s2912,s3115,s1011,s1008,s1017,s2800,s1115,s3189,s3060,s2673,s2024,s2749,s1458,s2234,s1646,s2633,s1377,s885,s2370,s910,s2959,s3214,s3205,s436,s272,s8,s9,s856,s7,s1,s16,s627,s486,s351,s1248,s13,s859,s875,s263,s1362,s609,s566,s948,s904,s250,s795,s338,s707,s878,s3212,s3143]) ).
cnf(s3216,plain,
( spl2_209
| ~ spl2_7
| spl2_5
| spl2_1 ),
inference(rat,[],[s2975,s3128,s2776,s1283,s2633,s3208,s2740,s263,s609,s566,s713,s1315,s1358,s379,s63,s3069,s351,s1248,s13,s859,s338,s707,s878,s3212,s2945,s3215]) ).
cnf(s3217,plain,
( ~ spl2_7
| spl2_5
| spl2_1 ),
inference(rat,[],[s2633,s2234,s1317,s1377,s2959,s3216,s2673,s1324,s2945,s3215,s338,s1362,s283,s16,s859,s707,s878,s3212]) ).
cnf(s3218,plain,
( spl2_209
| spl2_5
| spl2_1 ),
inference(rat,[],[s3208,s1283,s581,s3128,s2160,s2975,s902,s2776,s713,s2633,s890,s2740,s881,s263,s707,s7,s599,s558,s494,s384,s424,s2917,s3217,s3069,s878,s3212,s486,s351,s1248,s13,s859]) ).
cnf(s3219,plain,
( spl2_5
| spl2_1 ),
inference(rat,[],[s1220,s2633,s1817,s1317,s2959,s3218,s2681,s2942,s2751,s359,s2640,s721,s357,s1327,s7,s2917,s3217,s3069,s707,s878,s3212,s486,s351,s1248,s13,s16,s283,s859,s1]) ).
cnf(s3220,plain,
( ~ spl2_19
| ~ spl2_168
| ~ spl2_120
| spl2_209
| spl2_199
| spl2_202
| spl2_110
| spl2_13
| ~ spl2_9
| spl2_1 ),
inference(rat,[],[s1094,s2938,s487,s430,s505,s2982,s2913,s495,s962,s964,s2946,s2697,s3185,s2803,s3048,s1082,s1009,s3207,s3219,s1054,s8,s9,s7,s713,s1315]) ).
cnf(s3221,plain,
( ~ spl2_108
| spl2_185
| spl2_209
| spl2_110
| ~ spl2_15
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s1306,s3060,s502,s2882,s1324]) ).
cnf(s3222,plain,
( ~ spl2_120
| spl2_209
| ~ spl2_7
| ~ spl2_92
| spl2_199
| spl2_202
| spl2_110
| spl2_13
| ~ spl2_9
| spl2_1 ),
inference(rat,[],[s3189,s1371,s486,s3060,s720,s2586,s2749,s368,s1241,s890,s976,s889,s584,s3220,s881,s419,s13,s2943,s3221,s1254,s3219,s8,s9,s7,s1]) ).
cnf(s3223,plain,
( ~ spl2_121
| ~ spl2_11 ),
inference(rat,[],[s873,s869,s8,s9]) ).
cnf(s3224,plain,
( spl2_209
| ~ spl2_7
| ~ spl2_92
| spl2_199
| spl2_202
| spl2_110
| spl2_13
| ~ spl2_9
| spl2_1 ),
inference(rat,[],[s419,s3069,s3221,s3222,s1254,s1,s3219,s8,s9,s3223,s7]) ).
cnf(s3225,plain,
( ~ spl2_7
| spl2_13
| spl2_8
| spl2_1 ),
inference(rat,[],[s1339,s430,s954,s2913,s495,s1115,s964,s2607,s2984,s1324,s2673,s2234,s2454,s1377,s2961,s584,s3072,s3071,s1221,s2633,s885,s2370,s3224,s1176,s1362,s2944,s3219,s8,s2910,s611,s564,s9,s263,s1365,s1363,s856,s486,s3223,s7]) ).
cnf(s3226,plain,
( spl2_13
| spl2_8
| spl2_1 ),
inference(rat,[],[s1339,s430,s954,s2913,s495,s964,s1146,s2984,s717,s30,s2943,s256,s16,s281,s2915,s3225,s486,s3223,s250,s611,s746,s2910,s159,s9,s856,s7,s263,s2944,s3219,s3143,s140]) ).
cnf(s3227,plain,
( ~ spl2_108
| spl2_110
| spl2_185
| spl2_209
| ~ spl2_9
| ~ spl2_2 ),
inference(rat,[],[s10,s8,s878,s3221,s1324]) ).
cnf(s3228,plain,
( ~ spl2_120
| ~ spl2_168
| spl2_209
| ~ spl2_247
| spl2_8
| spl2_1 ),
inference(rat,[],[s2793,s650,s2757,s2914,s590,s3186,s2946,s964,s962,s3103,s3063,s1310,s3104,s3125,s2940,s1010,s486,s3097,s3099,s2697,s3048,s1082,s3050,s1009,s3207,s357,s494,s384,s423,s902,s1283,s615,s572,s16,s13,s2943,s3227,s804,s3128,s2975,s2776,s713,s890,s2740,s3226,s881,s263,s1254,s2944,s3219,s1]) ).
cnf(s3229,plain,
( spl2_209
| ~ spl2_7
| spl2_8
| spl2_1 ),
inference(rat,[],[s3093,s1010,s2716,s1061,s2709,s2697,s3065,s3223,s869,s3099,s3069,s3228,s419,s3227,s572,s615,s804,s3128,s3071,s2975,s584,s713,s2776,s890,s1254,s2740,s881,s1,s263,s2944,s3219,s3226,s948,s904]) ).
cnf(s3230,plain,
( spl2_121
| ~ spl2_168
| ~ spl2_106
| ~ spl2_108
| spl2_146
| spl2_199
| ~ spl2_9 ),
inference(rat,[],[s1094,s430,s2940,s2984,s486]) ).
cnf(s3231,plain,
( ~ spl2_280
| ~ spl2_262
| ~ spl2_168
| spl2_199
| spl2_217
| ~ spl2_5 ),
inference(rat,[],[s3090,s1009,s2750,s1082,s2997]) ).
cnf(s3232,plain,
( ~ spl2_273
| spl2_280
| spl2_11
| ~ spl2_216
| spl2_199
| ~ spl2_2 ),
inference(rat,[],[s3089,s1009,s1051,s3050,s3048,s2709]) ).
cnf(s3233,plain,
( ~ spl2_168
| ~ spl2_108
| spl2_202
| ~ spl2_120
| spl2_199
| spl2_110
| ~ spl2_209
| spl2_8
| spl2_1 ),
inference(rat,[],[s256,s26,s281,s357,s2697,s3232,s3231,s3099,s3230,s1305,s885,s880,s3071,s659,s3060,s647,s2960,s713,s1315,s1,s263,s910,s250,s795,s494,s384,s423,s502,s365,s3226,s14,s8,s10,s878,s1324,s2944,s3219,s3143]) ).
cnf(s3235,plain,
( ~ spl2_11
| spl2_185
| ~ spl2_209 ),
inference(rat,[],[s8,s1328,s9]) ).
cnf(s3236,plain,
( spl2_273
| spl2_185
| ~ spl2_122
| ~ spl2_212
| spl2_202
| spl2_114
| spl2_199
| ~ spl2_209
| spl2_1 ),
inference(rat,[],[s962,s966,s3103,s3063,s1310,s3104,s2940,s3125,s486,s1010,s3099,s2696,s2697,s1,s3219,s494]) ).
cnf(s3237,plain,
( ~ spl2_168
| ~ spl2_273
| spl2_11
| ~ spl2_262
| spl2_199
| spl2_217
| ~ spl2_9
| spl2_1 ),
inference(rat,[],[s3232,s713,s3231,s1315,s1,s3219]) ).
cnf(s3240,plain,
( ~ spl2_22
| spl2_14
| ~ spl2_21
| spl2_11
| spl2_84
| spl2_41
| ~ spl2_5 ),
inference(rat,[],[s256,s26,s281]) ).
cnf(s3241,plain,
( ~ spl2_168
| spl2_22
| ~ spl2_169
| spl2_185
| spl2_202
| spl2_114
| spl2_199
| ~ spl2_209
| ~ spl2_9
| spl2_1 ),
inference(rat,[],[s3236,s3066,s2911,s3237,s1,s910,s1305,s3235,s2959]) ).
cnf(s3242,plain,
( ~ spl2_171
| spl2_191
| ~ spl2_183
| ~ spl2_7 ),
inference(rat,[],[s535,s895]) ).
cnf(s3243,plain,
( spl2_191
| spl2_168
| spl2_110
| ~ spl2_7 ),
inference(rat,[],[s1041,s941,s2912,s3242,s2808,s584]) ).
cnf(s3244,plain,
( ~ spl2_108
| ~ spl2_191
| ~ spl2_257
| ~ spl2_183
| ~ spl2_106
| spl2_202
| spl2_146
| ~ spl2_9 ),
inference(rat,[],[s1339,s430,s954,s2984,s486,s2589,s2607,s1324]) ).
cnf(s3250,plain,
( ~ spl2_146
| spl2_129
| spl2_8 ),
inference(rat,[],[s384,s3070,s494,s495]) ).
cnf(s3251,plain,
( ~ spl2_197
| ~ spl2_172
| spl2_261
| ~ spl2_268
| ~ spl2_568
| ~ spl2_23 ),
inference(rat,[],[s2949,s2868,s3043,s979]) ).
cnf(s3252,plain,
( ~ spl2_120
| spl2_273
| spl2_108
| spl2_183
| spl2_185
| spl2_194
| ~ spl2_13
| spl2_8 ),
inference(rat,[],[s3083,s1008,s3106,s2993,s722,s972,s2912,s3086,s3251,s418,s1310,s2810,s3105,s3104,s3125,s2940,s1010,s486,s3097,s3099,s2697,s357,s3250,s423,s902,s1283,s804,s615,s572,s3128,s2975,s713,s2776,s263,s13,s15,s16,s2943,s3046]) ).
cnf(s3253,plain,
( spl2_191
| ~ spl2_275
| spl2_104
| spl2_261
| ~ spl2_225
| spl2_310
| ~ spl2_23
| ~ spl2_19
| spl2_199
| spl2_202
| spl2_110
| ~ spl2_21
| spl2_185 ),
inference(rat,[],[s3038,s2705,s2757,s3049,s2914,s2947,s3059,s3027,s2481,s530]) ).
cnf(s3254,plain,
( ~ spl2_171
| ~ spl2_191
| spl2_223
| ~ spl2_164
| ~ spl2_150
| spl2_202
| spl2_194
| ~ spl2_5 ),
inference(rat,[],[s940,s2800,s1296,s895,s3086]) ).
cnf(s3255,plain,
( ~ spl2_168
| spl2_209
| spl2_8
| spl2_1 ),
inference(rat,[],[s2800,s940,s3073,s722,s2912,s3254,s3253,s2716,s3093,s1010,s954,s3125,s2862,s2937,s486,s3104,s3099,s3060,s2697,s3075,s2982,s1313,s3103,s962,s2653,s3070,s3252,s1204,s3231,s3237,s3250,s423,s1305,s902,s615,s572,s13,s15,s2915,s16,s2943,s3227,s804,s3128,s2975,s713,s890,s2740,s3226,s881,s2776,s263,s1254,s2944,s3219,s1,s3229]) ).
cnf(s3256,plain,
( spl2_191
| spl2_104
| ~ spl2_225
| spl2_261
| spl2_172
| ~ spl2_19
| spl2_199 ),
inference(rat,[],[s3059,s2481,s2867]) ).
cnf(s3257,plain,
( ~ spl2_171
| ~ spl2_191
| spl2_261
| ~ spl2_268
| ~ spl2_15
| ~ spl2_558
| spl2_194
| ~ spl2_5 ),
inference(rat,[],[s2694,s940,s2949,s2800,s3043,s895,s3086]) ).
cnf(s3258,plain,
( spl2_261
| ~ spl2_164
| spl2_172
| ~ spl2_15
| ~ spl2_558
| spl2_168
| ~ spl2_19
| spl2_199
| spl2_202
| spl2_110
| spl2_183
| spl2_209
| spl2_1 ),
inference(rat,[],[s940,s2802,s722,s2885,s2912,s3257,s3256,s2862,s3104,s2589,s881,s902,s1337,s1010,s3093,s2975,s713,s2776,s1254,s1,s3219]) ).
cnf(s3259,plain,
( ~ spl2_261
| spl2_146 ),
inference(rat,[],[s486,s2620,s2940]) ).
cnf(s3260,plain,
( ~ spl2_273
| spl2_168
| spl2_11
| spl2_108
| spl2_199
| spl2_202
| spl2_110
| spl2_183
| spl2_209
| spl2_261
| spl2_1 ),
inference(rat,[],[s3258,s2810,s3072,s1061,s1010,s8,s3093,s10,s2716,s5,s2709,s2921,s2975,s713,s2776,s1254,s1,s3219,s13,s2943]) ).
cnf(s3261,plain,
( spl2_209
| spl2_8
| spl2_1 ),
inference(rat,[],[s2481,s3059,s590,s2951,s2737,s2696,s1010,s2862,s3125,s3104,s2697,s1310,s2982,s418,s962,s3069,s3070,s3252,s3260,s2589,s1337,s3255,s2915,s13,s16,s2943,s3227,s572,s615,s804,s3128,s2975,s902,s713,s2776,s890,s3229,s1254,s2740,s881,s1,s263,s2944,s3219,s3259,s3250,s423,s3226]) ).
cnf(s3262,plain,
( ~ spl2_120
| ~ spl2_168
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s3236,s357,s2959,s16,s2943,s3233,s384,s2904,s3259,s3250,s423,s3226,s3237,s3235,s1305,s910,s615,s3128,s2960,s1315,s2944,s3219,s3261,s263]) ).
cnf(s3263,plain,
( ~ spl2_168
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s10,s3240,s875,s3241,s984,s2816,s1313,s962,s2653,s3070,s3262,s615,s3128,s902,s2960,s713,s1315,s263,s2944,s3219,s250,s795,s2904,s3259,s3250,s423,s3226,s3235,s3261,s3143]) ).
cnf(s3264,plain,
( ~ spl2_197
| spl2_208
| ~ spl2_150
| ~ spl2_164
| ~ spl2_268
| ~ spl2_558
| spl2_223
| spl2_202
| spl2_261
| spl2_1 ),
inference(rat,[],[s2695,s2983,s2949,s2872,s3043,s1296,s1,s3219]) ).
cnf(s3266,plain,
( ~ spl2_197
| spl2_220
| ~ spl2_150
| spl2_270
| ~ spl2_164
| ~ spl2_268
| spl2_223
| spl2_202
| spl2_261
| spl2_1 ),
inference(rat,[],[s3058,s2971,s2949,s2872,s3043,s1296,s1,s3219]) ).
cnf(s3267,plain,
( ~ spl2_196
| ~ spl2_15
| ~ spl2_216
| spl2_110 ),
inference(rat,[],[s2912,s639,s895,s3073]) ).
cnf(s3269,plain,
( spl2_191
| spl2_196
| ~ spl2_225
| ~ spl2_164
| spl2_172
| ~ spl2_268
| spl2_223
| ~ spl2_19
| spl2_114
| spl2_202
| spl2_199
| spl2_261
| spl2_1 ),
inference(rat,[],[s962,s3103,s964,s3266,s2946,s3003,s3059,s3256,s2867,s3219,s3125]) ).
cnf(s3270,plain,
( ~ spl2_273
| spl2_223
| spl2_121
| ~ spl2_19
| spl2_292
| ~ spl2_184
| ~ spl2_216
| ~ spl2_123
| spl2_114
| spl2_202
| spl2_11
| ~ spl2_262
| spl2_199
| spl2_261
| spl2_1 ),
inference(rat,[],[s3003,s3043,s2951,s2949,s3113,s2690,s981,s2780,s940,s2800,s3269,s3267,s3104,s1369,s3072,s1061,s1010,s8,s3093,s10,s2716,s5,s2709,s2921,s1,s3219,s2904,s902]) ).
cnf(s3271,plain,
( ~ spl2_22
| spl2_18
| ~ spl2_21
| spl2_11
| spl2_84
| spl2_41
| ~ spl2_5 ),
inference(rat,[],[s258,s26,s281]) ).
cnf(s3272,plain,
( spl2_183
| ~ spl2_120
| spl2_202
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s3266,s3003,s3059,s2952,s530,s1339,s3104,s430,s1068,s1310,s365,s3072,s2984,s421,s1324,s1061,s3267,s2943,s1010,s8,s13,s3093,s10,s3270,s2716,s5,s954,s2709,s2921,s486,s3236,s3100,s357,s15,s3271,s1283,s159,s3128,s902,s2960,s713,s1,s263,s2944,s3219,s250,s795,s2904,s1305,s3235,s2961,s3261,s3053,s3263,s3259,s3250,s358,s384,s423,s3226,s3143]) ).
cnf(s3273,plain,
( ~ spl2_120
| spl2_202
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s357,s1371,s16,s976,s905,s3272,s2944,s3219,s3259,s3250,s423,s3226,s3263]) ).
cnf(s3274,plain,
( ~ spl2_267
| ~ spl2_184
| ~ spl2_212
| spl2_11
| ~ spl2_2 ),
inference(rat,[],[s2709,s2716,s2696,s3093]) ).
cnf(s3275,plain,
( ~ spl2_193
| ~ spl2_268
| ~ spl2_164
| ~ spl2_249
| spl2_114
| spl2_202
| ~ spl2_212
| spl2_185
| spl2_199
| ~ spl2_209
| spl2_1 ),
inference(rat,[],[s3236,s2982,s1061,s659]) ).
cnf(s3276,plain,
( ~ spl2_19
| ~ spl2_216
| spl2_202
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s3270,s2698,s3064,s2946,s428,s430,s1339,s3269,s2944,s1305,s1288,s2913,s954,s486,s3125,s3104,s3100,s15,s3240,s14,s250,s795,s263,s3219,s3053,s3072,s3275,s1010,s3274,s2866,s3235,s1,s1310,s3103,s2653,s2961,s3263,s3267,s8,s10,s875,s984,s2816,s1313,s962,s3070,s3261,s3273,s2904,s3259,s3250,s423,s3226,s3143]) ).
cnf(s3277,plain,
( ~ spl2_216
| spl2_202
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s3266,s3003,s3059,s2952,s530,s1339,s430,s2984,s2943,s13,s3276,s3267,s2944,s8,s2913,s954,s486,s3125,s3104,s3100,s15,s3240,s14,s250,s795,s263,s3219,s3053,s3072,s3275,s1010,s3274,s2866,s10,s875,s984,s2816,s1313,s3235,s1,s1310,s3103,s962,s2653,s3070,s3273,s2904,s3259,s3250,s423,s3226,s2961,s3263,s3261,s3143]) ).
cnf(s3278,plain,
( ~ spl2_196
| ~ spl2_19
| spl2_168
| spl2_261 ),
inference(rat,[],[s2885,s894,s895]) ).
cnf(s3279,plain,
( spl2_202
| spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s2951,s3003,s3113,s1296,s981,s2780,s940,s2800,s3269,s3278,s13,s905,s713,s3277,s3072,s3275,s1010,s3274,s954,s3104,s486,s3100,s15,s3240,s2866,s10,s14,s875,s984,s2816,s1310,s1313,s3103,s962,s2653,s3070,s3273,s1,s263,s2944,s3219,s250,s795,s2904,s1305,s3235,s2961,s3261,s3053,s3263,s3259,s3250,s423,s3226,s3143]) ).
cnf(s3280,plain,
( spl2_185
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s13,s1337,s905,s2589,s2960,s486,s3128,s599,s615,s3279,s3263,s263,s2944,s3219,s3259,s3250,s423,s3226,s3261]) ).
cnf(s3281,plain,
( spl2_164
| ~ spl2_184
| ~ spl2_19
| spl2_172
| spl2_110
| ~ spl2_9 ),
inference(rat,[],[s500,s1324,s647,s2810,s3060]) ).
cnf(s3282,plain,
( spl2_191
| ~ spl2_150
| ~ spl2_164
| ~ spl2_268
| ~ spl2_558
| spl2_223
| ~ spl2_233
| spl2_196
| ~ spl2_19
| spl2_202
| spl2_172
| spl2_261
| spl2_1 ),
inference(rat,[],[s3264,s3003,s1173,s2867]) ).
cnf(s3283,plain,
( spl2_183
| ~ spl2_19
| spl2_202
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s639,s2912,s940,s3257,s2800,s3282,s8,s10,s418,s878,s2749,s3281,s1010,s3093,s902,s2960,s713,s2904,s3278,s2748,s1220,s2716,s2707,s954,s486,s2589,s1337,s3259,s3250,s423,s3226,s2944,s2961,s3071,s1221,s3219,s880,s3261,s2633,s3280]) ).
cnf(s3284,plain,
( spl2_164
| ~ spl2_19
| spl2_202
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s1059,s1205,s1010,s1202,s3043,s3084,s1208,s2802,s2949,s1008,s1351,s2690,s1013,s980,s3003,s2867,s3244,s1288,s8,s3120,s3103,s10,s14,s962,s2653,s502,s878,s966,s2984,s1324,s3063,s2810,s1,s263,s2904,s1220,s3278,s2707,s954,s486,s2589,s1337,s3259,s3250,s423,s3226,s2944,s2961,s3071,s1221,s3219,s880,s3261,s2633,s3280,s3283]) ).
cnf(s3285,plain,
( ~ spl2_197
| ~ spl2_150
| ~ spl2_164
| spl2_223
| spl2_202
| ~ spl2_185 ),
inference(rat,[],[s1296,s980]) ).
cnf(s3286,plain,
( ~ spl2_19
| spl2_202
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s2720,s2697,s2688,s2949,s2690,s1217,s940,s2982,s3115,s2800,s3244,s2912,s2867,s3086,s3003,s3285,s1288,s418,s3120,s10,s14,s2663,s960,s878,s3104,s2749,s3284,s2731,s3283,s2707,s954,s486,s2589,s3278,s1337,s1,s263,s2944,s2904,s3259,s3250,s423,s910,s1220,s2633,s3226,s1377,s2961,s3071,s1221,s3219,s880,s3280,s3261]) ).
cnf(s3287,plain,
( ~ spl2_121
| spl2_14
| ~ spl2_21
| spl2_550
| spl2_84
| spl2_41
| ~ spl2_5 ),
inference(rat,[],[s15,s3240,s3100,s3223]) ).
cnf(s3288,plain,
( spl2_202
| spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s941,s1041,s1339,s2912,s430,s3086,s2913,s3285,s964,s954,s2984,s486,s3287,s3060,s418,s10,s647,s902,s502,s878,s2960,s713,s1324,s905,s2943,s13,s3286,s263,s2944,s3261,s250,s795,s2904,s2808,s3053,s3071,s1221,s3219,s880,s3280,s3259,s3250,s423,s3226,s3143]) ).
cnf(s3289,plain,
( spl2_199
| spl2_8
| spl2_1 ),
inference(rat,[],[s2597,s2759,s869,s878,s486,s10,s599,s611,s3288,s1220,s2633,s3280,s263,s3259,s3250,s423,s3226,s3129]) ).
cnf(s3290,plain,
( spl2_8
| spl2_1 ),
inference(rat,[],[s13,s1337,s905,s1315,s2589,s2960,s486,s3128,s558,s554,s572,s3289,s3261,s3259,s3250,s423,s3226,s2944,s263,s3219]) ).
cnf(s3291,plain,
( spl2_185
| spl2_261
| spl2_1 ),
inference(rat,[],[s1146,s590,s664,s2951,s1310,s2757,s2370,s1,s858,s701,s37,s611,s564,s418,s2910,s9,s34,s863,s707,s902,s708,s3290]) ).
cnf(s3292,plain,
( ~ spl2_185
| spl2_1 ),
inference(rat,[],[s940,s2800,s711,s1146,s2912,s425,s3086,s1266,s3285,s954,s2927,s495,s964,s3120,s2984,s960,s2943,s3104,s13,s3060,s586,s647,s3071,s2960,s1221,s1254,s880,s1,s3219,s858,s702,s701,s37,s501,s611,s486,s3223,s3267,s8,s418,s2910,s9,s34,s863,s707,s902,s708,s3290]) ).
cnf(s3293,plain,
spl2_1,
inference(rat,[],[s2935,s3060,s3291,s1306,s3292,s486,s2910,s8,s3223,s9,s501,s34,s707,s863,s3290]) ).
cnf(s3294,plain,
~ spl2_191,
inference(rat,[],[s2805,s3293]) ).
cnf(s3295,plain,
~ spl2_168,
inference(rat,[],[s2804,s3293]) ).
cnf(s3296,plain,
~ spl2_108,
inference(rat,[],[s1025,s3293]) ).
cnf(s3297,plain,
~ spl2_5,
inference(rat,[],[s146,s3293]) ).
cnf(s3299,plain,
~ spl2_24,
inference(rat,[],[s3160,s3293]) ).
cnf(s3307,plain,
~ spl2_20,
inference(rat,[],[s2943,s3296]) ).
cnf(s3311,plain,
~ spl2_36,
inference(rat,[],[s1142,s3297,s3299]) ).
cnf(s3315,plain,
spl2_19,
inference(rat,[],[s13,s3307]) ).
cnf(s3316,plain,
~ spl2_8,
inference(rat,[],[s37,s3311]) ).
cnf(s3322,plain,
spl2_40,
inference(rat,[],[s1248,s3297,s3315]) ).
cnf(s3323,plain,
spl2_92,
inference(rat,[],[s304,s3316,s3297,s3315]) ).
cnf(s3324,plain,
~ spl2_41,
inference(rat,[],[s263,s3316]) ).
cnf(s3325,plain,
spl2_304,
inference(rat,[],[s1181,s3297,s3316]) ).
cnf(s3328,plain,
~ spl2_121,
inference(rat,[],[s351,s3322]) ).
cnf(s3332,plain,
~ spl2_131,
inference(rat,[],[s486,s3328]) ).
cnf(s3334,plain,
spl2_110,
inference(rat,[],[s2160,s902,s581,s713,s1241,s558,s2231,s3250,s1226,s424,s2917,s2673,s3243,s3297,s3295,s3315,s3323,s3332,s3316,s3325,s3296,s3294]) ).
cnf(s3335,plain,
spl2_261,
inference(rat,[],[s2904,s3334]) ).
cnf(s3336,plain,
spl2_199,
inference(rat,[],[s2900,s3334]) ).
cnf(s3346,plain,
spl2_146,
inference(rat,[],[s3259,s3335]) ).
cnf(s3359,plain,
spl2_13,
inference(rat,[],[s573,s3322,s3324,s3336]) ).
cnf(s3373,plain,
spl2_129,
inference(rat,[],[s3250,s3316,s3346]) ).
cnf(s3386,plain,
$false,
inference(rat,[],[s423,s3373,s3359]) ).
thf(f47174,plain,
$false,
inference(avatar_sat_refutation,[],[s3386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA086^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:55:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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
% 0.21/0.36 % (1693477)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (1693485)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=4147921340: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)
% 0.21/0.36 % (1693482)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1627381109:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (1693486)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1612728630:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (1693483)lrs+10_16_si=on:nwc=1.5:random_seed=2120033869:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (1693484)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=350139050:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (1693484)Instruction limit reached!
% 0.21/0.36 % (1693484)------------------------------
% 0.21/0.36 % (1693484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1693484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1693484)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1693484)Termination reason: Instruction limit
% 0.21/0.36 % (1693484)Termination phase: Saturation
% 0.21/0.36 % (1693484)Time elapsed: 0.003 s
% 0.21/0.36 % (1693484)Peak memory usage: 12 MB
% 0.21/0.36 % (1693484)Instructions burned: 5 (million)
% 0.21/0.36 % (1693488)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (1693488)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
% 0.21/0.36 % (1693487)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1679527557:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (1693483)Instruction limit reached!
% 0.21/0.36 % (1693483)------------------------------
% 0.21/0.36 % (1693483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1693483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1693483)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1693483)Termination reason: Instruction limit
% 0.21/0.36 % (1693483)Termination phase: Saturation
% 0.21/0.36 % (1693483)Time elapsed: 0.010 s
% 0.21/0.36 % (1693483)Peak memory usage: 12 MB
% 0.21/0.36 % (1693483)Instructions burned: 19 (million)
% 0.21/0.36 % (1693488)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=867601908:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (1693486)Instruction limit reached!
% 0.21/0.36 % (1693486)------------------------------
% 0.21/0.36 % (1693486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1693486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1693486)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1693486)Termination reason: Instruction limit
% 0.21/0.36 % (1693486)Termination phase: Saturation
% 0.21/0.36 % (1693486)Time elapsed: 0.014 s
% 0.21/0.36 % (1693486)Peak memory usage: 12 MB
% 0.21/0.36 % (1693486)Instructions burned: 25 (million)
% 0.21/0.36 % (1693494)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2974795792:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (1693494)Instruction limit reached!
% 0.21/0.36 % (1693494)------------------------------
% 0.21/0.36 % (1693494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1693494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1693494)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1693494)Termination reason: Instruction limit
% 0.21/0.36 % (1693494)Termination phase: Saturation
% 0.21/0.36 % (1693494)Time elapsed: 0.002 s
% 0.21/0.36 % (1693494)Peak memory usage: 12 MB
% 0.21/0.36 % (1693494)Instructions burned: 2 (million)
% 0.21/0.36 % (1693482)Instruction limit reached!
% 0.21/0.36 % (1693482)------------------------------
% 0.21/0.36 % (1693482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1693482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1693482)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1693482)Termination reason: Instruction limit
% 0.96/0.39 % (1693482)Termination phase: Saturation
% 0.96/0.39 % (1693482)Time elapsed: 0.037 s
% 0.96/0.39 % (1693482)Peak memory usage: 12 MB
% 0.96/0.39 % (1693482)Instructions burned: 90 (million)
% 0.96/0.39 % (1693497)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1182341696:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.96/0.39 % (1693498)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.39 % (1693500)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4088537881:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.96/0.39 % (1693497)Instruction limit reached!
% 0.96/0.39 % (1693497)------------------------------
% 0.96/0.39 % (1693497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1693497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1693497)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1693497)Termination reason: Instruction limit
% 0.96/0.39 % (1693497)Termination phase: Saturation
% 0.96/0.39 % (1693497)Time elapsed: 0.004 s
% 0.96/0.39 % (1693497)Peak memory usage: 11 MB
% 0.96/0.39 % (1693497)Instructions burned: 5 (million)
% 0.96/0.39 % (1693498)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3805180135:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.96/0.39 % (1693487)Instruction limit reached!
% 0.96/0.39 % (1693487)------------------------------
% 0.96/0.39 % (1693487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1693487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1693487)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1693487)Termination reason: Instruction limit
% 0.96/0.39 % (1693487)Termination phase: Saturation
% 0.96/0.39 % (1693487)Time elapsed: 0.036 s
% 0.96/0.39 % (1693487)Peak memory usage: 12 MB
% 0.96/0.39 % (1693487)Instructions burned: 76 (million)
% 0.96/0.39 % (1693498)Instruction limit reached!
% 0.96/0.39 % (1693498)------------------------------
% 0.96/0.39 % (1693498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1693498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1693498)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1693498)Termination reason: Instruction limit
% 0.96/0.39 % (1693498)Termination phase: Saturation
% 0.96/0.39 % (1693498)Time elapsed: 0.004 s
% 0.96/0.39 % (1693498)Peak memory usage: 12 MB
% 0.96/0.39 % (1693498)Instructions burned: 7 (million)
% 0.96/0.39 % (1693500)Instruction limit reached!
% 0.96/0.39 % (1693500)------------------------------
% 0.96/0.39 % (1693500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1693500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1693500)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1693500)Termination reason: Instruction limit
% 0.96/0.39 % (1693500)Termination phase: Saturation
% 0.96/0.39 % (1693500)Time elapsed: 0.007 s
% 0.96/0.39 % (1693500)Peak memory usage: 12 MB
% 0.96/0.39 % (1693500)Instructions burned: 12 (million)
% 0.96/0.39 % (1693501)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
% 0.96/0.39 % (1693501)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.39 % (1693501)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2598788740:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.96/0.39 % (1693505)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=2363779111:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.96/0.39 % (1693506)lrs+10_1_si=on:cs=on:random_seed=3485543458:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.96/0.39 % (1693507)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.96/0.41 % (1693506)Instruction limit reached!
% 0.96/0.41 % (1693506)------------------------------
% 0.96/0.41 % (1693506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (1693506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (1693506)CaDiCaL version: 2.1.3
% 0.96/0.41 % (1693506)Termination reason: Instruction limit
% 0.96/0.41 % (1693506)Termination phase: Saturation
% 0.96/0.41 % (1693506)Time elapsed: 0.005 s
% 0.96/0.41 % (1693506)Peak memory usage: 12 MB
% 0.96/0.41 % (1693506)Instructions burned: 9 (million)
% 0.96/0.41 % (1693507)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=3477407929:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.41 % (1693508)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1370522257:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.96/0.41 % (1693501)Instruction limit reached!
% 0.96/0.41 % (1693501)------------------------------
% 0.96/0.41 % (1693501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (1693501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (1693501)CaDiCaL version: 2.1.3
% 0.96/0.41 % (1693501)Termination reason: Instruction limit
% 0.96/0.41 % (1693501)Termination phase: Saturation
% 0.96/0.41 % (1693501)Time elapsed: 0.014 s
% 0.96/0.41 % (1693501)Peak memory usage: 12 MB
% 0.96/0.41 % (1693501)Instructions burned: 29 (million)
% 0.96/0.41 % (1693508)Refutation not found, incomplete strategy
% 0.96/0.41 % (1693508)------------------------------
% 0.96/0.41 % (1693508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (1693508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (1693508)CaDiCaL version: 2.1.3
% 0.96/0.41 % (1693508)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.41 % (1693508)Time elapsed: 0.001 s
% 0.96/0.41 % (1693508)Peak memory usage: 11 MB
% 0.96/0.41 % (1693507)Instruction limit reached!
% 0.96/0.41 % (1693507)------------------------------
% 0.96/0.41 % (1693507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (1693507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (1693507)CaDiCaL version: 2.1.3
% 0.96/0.41 % (1693507)Termination reason: Instruction limit
% 0.96/0.41 % (1693507)Termination phase: Saturation
% 0.96/0.41 % (1693507)Time elapsed: 0.002 s
% 0.96/0.41 % (1693507)Peak memory usage: 11 MB
% 0.96/0.41 % (1693507)Instructions burned: 4 (million)
% 0.96/0.41 % (1693508)------------------------------
% 0.96/0.41 % (1693508)------------------------------
% 0.96/0.41 % (1693514)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=674627156:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.96/0.41 % (1693515)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4051907371:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.96/0.41 % (1693514)Refutation not found, incomplete strategy
% 0.96/0.41 % (1693514)------------------------------
% 0.96/0.41 % (1693514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (1693514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (1693514)CaDiCaL version: 2.1.3
% 0.96/0.41 % (1693514)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.41 % (1693514)Time elapsed: 0.001 s
% 0.96/0.41 % (1693514)Peak memory usage: 11 MB
% 0.96/0.41 % (1693516)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2151798012:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.41 % (1693515)Refutation not found, incomplete strategy
% 0.96/0.41 % (1693515)------------------------------
% 0.96/0.41 % (1693515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (1693515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (1693515)CaDiCaL version: 2.1.3
% 0.96/0.41 % (1693515)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.41 % (1693515)Time elapsed: 0.001 s
% 0.96/0.43 % (1693515)Peak memory usage: 11 MB
% 0.96/0.43 % (1693517)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=622009618:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.96/0.43 % (1693514)------------------------------
% 0.96/0.43 % (1693514)------------------------------
% 0.96/0.43 % (1693515)------------------------------
% 0.96/0.43 % (1693515)------------------------------
% 0.96/0.43 % (1693517)Refutation not found, incomplete strategy
% 0.96/0.43 % (1693517)------------------------------
% 0.96/0.43 % (1693517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1693517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1693517)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1693517)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.43 % (1693517)Time elapsed: 0.001 s
% 0.96/0.43 % (1693517)Peak memory usage: 11 MB
% 0.96/0.43 % (1693517)Instructions burned: 1 (million)
% 0.96/0.43 % (1693517)------------------------------
% 0.96/0.43 % (1693517)------------------------------
% 0.96/0.43 % (1693488)Instruction limit reached!
% 0.96/0.43 % (1693488)------------------------------
% 0.96/0.43 % (1693488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1693488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1693488)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1693488)Termination reason: Instruction limit
% 0.96/0.43 % (1693488)Termination phase: Saturation
% 0.96/0.43 % (1693488)Time elapsed: 0.087 s
% 0.96/0.43 % (1693488)Peak memory usage: 12 MB
% 0.96/0.43 % (1693488)Instructions burned: 159 (million)
% 0.96/0.43 % (1693516)Instruction limit reached!
% 0.96/0.43 % (1693516)------------------------------
% 0.96/0.43 % (1693516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1693516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1693516)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1693516)Termination reason: Instruction limit
% 0.96/0.43 % (1693516)Termination phase: Saturation
% 0.96/0.43 % (1693516)Time elapsed: 0.009 s
% 0.96/0.43 % (1693516)Peak memory usage: 12 MB
% 0.96/0.43 % (1693516)Instructions burned: 14 (million)
% 0.96/0.43 % (1693505)Instruction limit reached!
% 0.96/0.43 % (1693505)------------------------------
% 0.96/0.43 % (1693505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1693505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1693505)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1693505)Termination reason: Instruction limit
% 0.96/0.43 % (1693505)Termination phase: Saturation
% 0.96/0.43 % (1693505)Time elapsed: 0.041 s
% 0.96/0.43 % (1693505)Peak memory usage: 12 MB
% 0.96/0.43 % (1693505)Instructions burned: 88 (million)
% 0.96/0.43 % (1693522)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1284539540:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.43 % (1693524)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3551732551:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.96/0.43 % (1693523)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2279744574:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.96/0.43 % (1693523)Refutation not found, incomplete strategy
% 0.96/0.43 % (1693523)------------------------------
% 0.96/0.43 % (1693523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1693523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1693523)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1693523)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.43 % (1693523)Time elapsed: 0.001 s
% 0.96/0.43 % (1693523)Peak memory usage: 11 MB
% 0.96/0.43 % (1693523)------------------------------
% 0.96/0.43 % (1693523)------------------------------
% 0.96/0.43 % (1693485)Instruction limit reached!
% 0.96/0.43 % (1693485)------------------------------
% 0.96/0.43 % (1693485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1693485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1693485)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1693485)Termination reason: Instruction limit
% 0.96/0.43 % (1693485)Termination phase: Saturation
% 0.96/0.43 % (1693485)Time elapsed: 0.126 s
% 0.96/0.43 % (1693485)Peak memory usage: 13 MB
% 0.96/0.45 % (1693525)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=712198303:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.96/0.45 % (1693485)Instructions burned: 638 (million)
% 0.96/0.45 % (1693522)Instruction limit reached!
% 0.96/0.45 % (1693522)------------------------------
% 0.96/0.45 % (1693522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (1693522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (1693522)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1693522)Termination reason: Instruction limit
% 0.96/0.45 % (1693522)Termination phase: Saturation
% 0.96/0.45 % (1693522)Time elapsed: 0.009 s
% 0.96/0.45 % (1693522)Peak memory usage: 12 MB
% 0.96/0.45 % (1693522)Instructions burned: 16 (million)
% 0.96/0.45 % (1693527)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
% 0.96/0.45 % (1693527)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.96/0.45 % (1693527)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=4058247914:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.45 % (1693526)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2075268710:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.96/0.45 % (1693524)Instruction limit reached!
% 0.96/0.45 % (1693524)------------------------------
% 0.96/0.45 % (1693524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (1693524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (1693524)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1693524)Termination reason: Instruction limit
% 0.96/0.45 % (1693524)Termination phase: Saturation
% 0.96/0.45 % (1693524)Time elapsed: 0.015 s
% 0.96/0.45 % (1693524)Peak memory usage: 12 MB
% 0.96/0.45 % (1693524)Instructions burned: 28 (million)
% 0.96/0.45 % (1693533)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=320627539:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.96/0.46 % (1693525)Instruction limit reached!
% 0.96/0.46 % (1693525)------------------------------
% 0.96/0.46 % (1693525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.46 % (1693525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.46 % (1693525)CaDiCaL version: 2.1.3
% 0.96/0.46 % (1693525)Termination reason: Instruction limit
% 0.96/0.46 % (1693525)Termination phase: Saturation
% 0.96/0.46 % (1693525)Time elapsed: 0.012 s
% 0.96/0.46 % (1693525)Peak memory usage: 11 MB
% 0.96/0.46 % (1693525)Instructions burned: 24 (million)
% 0.96/0.46 % (1693532)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.96/0.46 % (1693527)Instruction limit reached!
% 0.96/0.46 % (1693527)------------------------------
% 0.96/0.46 % (1693527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.46 % (1693527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.46 % (1693527)CaDiCaL version: 2.1.3
% 0.96/0.46 % (1693527)Termination reason: Instruction limit
% 0.96/0.46 % (1693527)Termination phase: Saturation
% 0.96/0.46 % (1693527)Time elapsed: 0.008 s
% 0.96/0.46 % (1693527)Peak memory usage: 12 MB
% 0.96/0.46 % (1693527)Instructions burned: 15 (million)
% 0.96/0.46 % (1693532)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=674531046:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.46 % (1693533)Instruction limit reached!
% 0.96/0.46 % (1693533)------------------------------
% 0.96/0.46 % (1693533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.46 % (1693533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.46 % (1693533)CaDiCaL version: 2.1.3
% 0.96/0.46 % (1693533)Termination reason: Instruction limit
% 0.96/0.46 % (1693533)Termination phase: Saturation
% 0.96/0.46 % (1693533)Time elapsed: 0.008 s
% 1.62/0.49 % (1693533)Peak memory usage: 12 MB
% 1.62/0.49 % (1693533)Instructions burned: 33 (million)
% 1.62/0.49 % (1693534)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=621105558:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.62/0.49 % (1693532)Instruction limit reached!
% 1.62/0.49 % (1693532)------------------------------
% 1.62/0.49 % (1693532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.49 % (1693532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.49 % (1693532)CaDiCaL version: 2.1.3
% 1.62/0.49 % (1693532)Termination reason: Instruction limit
% 1.62/0.49 % (1693532)Termination phase: Saturation
% 1.62/0.49 % (1693532)Time elapsed: 0.005 s
% 1.62/0.49 % (1693532)Peak memory usage: 12 MB
% 1.62/0.49 % (1693532)Instructions burned: 8 (million)
% 1.62/0.49 % (1693534)Instruction limit reached!
% 1.62/0.49 % (1693534)------------------------------
% 1.62/0.49 % (1693534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.49 % (1693534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.49 % (1693534)CaDiCaL version: 2.1.3
% 1.62/0.49 % (1693534)Termination reason: Instruction limit
% 1.62/0.49 % (1693534)Termination phase: Saturation
% 1.62/0.49 % (1693534)Time elapsed: 0.004 s
% 1.62/0.49 % (1693534)Peak memory usage: 12 MB
% 1.62/0.49 % (1693534)Instructions burned: 8 (million)
% 1.62/0.49 % (1693537)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4293573681:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.62/0.49 % (1693542)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=82650840:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.62/0.49 % (1693539)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2181906476:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.62/0.49 % (1693540)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=473340436:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.62/0.49 % (1693537)Instruction limit reached!
% 1.62/0.49 % (1693537)------------------------------
% 1.62/0.49 % (1693537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.49 % (1693537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.49 % (1693537)CaDiCaL version: 2.1.3
% 1.62/0.49 % (1693537)Termination reason: Instruction limit
% 1.62/0.49 % (1693537)Termination phase: Saturation
% 1.62/0.49 % (1693537)Time elapsed: 0.009 s
% 1.62/0.49 % (1693537)Peak memory usage: 11 MB
% 1.62/0.49 % (1693537)Instructions burned: 23 (million)
% 1.62/0.49 % (1693526)Instruction limit reached!
% 1.62/0.49 % (1693526)------------------------------
% 1.62/0.49 % (1693526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.49 % (1693526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.49 % (1693526)CaDiCaL version: 2.1.3
% 1.62/0.49 % (1693526)Termination reason: Instruction limit
% 1.62/0.49 % (1693526)Termination phase: Saturation
% 1.62/0.49 % (1693526)Time elapsed: 0.032 s
% 1.62/0.49 % (1693526)Peak memory usage: 12 MB
% 1.62/0.49 % (1693526)Instructions burned: 60 (million)
% 1.62/0.49 % (1693545)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3387858184:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.62/0.49 % (1693539)Instruction limit reached!
% 1.62/0.49 % (1693539)------------------------------
% 1.62/0.49 % (1693539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.49 % (1693539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.49 % (1693539)CaDiCaL version: 2.1.3
% 1.62/0.49 % (1693539)Termination reason: Instruction limit
% 1.62/0.49 % (1693539)Termination phase: Saturation
% 1.62/0.49 % (1693539)Time elapsed: 0.012 s
% 1.62/0.49 % (1693539)Peak memory usage: 12 MB
% 1.62/0.49 % (1693539)Instructions burned: 20 (million)
% 1.62/0.49 % (1693544)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3783295429:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.62/0.49 % (1693544)Refutation not found, incomplete strategy
% 1.62/0.49 % (1693544)------------------------------
% 1.62/0.49 % (1693544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.49 % (1693544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.56 % (1693544)CaDiCaL version: 2.1.3
% 1.62/0.56 % (1693544)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.56 % (1693544)Time elapsed: 0.001 s
% 1.62/0.56 % (1693544)Peak memory usage: 11 MB
% 1.62/0.56 % (1693544)Instructions burned: 1 (million)
% 1.62/0.56 % (1693544)------------------------------
% 1.62/0.56 % (1693544)------------------------------
% 1.62/0.56 % (1693550)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.62/0.56 % (1693550)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=316158144:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.62/0.56 % (1693551)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=189259635:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.62/0.56 % (1693551)Refutation not found, incomplete strategy
% 1.62/0.56 % (1693551)------------------------------
% 1.62/0.56 % (1693551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.56 % (1693551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.56 % (1693551)CaDiCaL version: 2.1.3
% 1.62/0.56 % (1693551)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.56 % (1693551)Time elapsed: 0.001 s
% 1.62/0.56 % (1693551)Peak memory usage: 11 MB
% 1.62/0.56 % (1693551)Instructions burned: 1 (million)
% 1.62/0.56 % (1693542)Instruction limit reached!
% 1.62/0.56 % (1693542)------------------------------
% 1.62/0.56 % (1693542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.56 % (1693542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.56 % (1693542)CaDiCaL version: 2.1.3
% 1.62/0.56 % (1693542)Termination reason: Instruction limit
% 1.62/0.56 % (1693542)Termination phase: Saturation
% 1.62/0.56 % (1693542)Time elapsed: 0.031 s
% 1.62/0.56 % (1693542)Peak memory usage: 12 MB
% 1.62/0.56 % (1693542)Instructions burned: 145 (million)
% 1.62/0.56 % (1693555)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.62/0.56 % (1693550)Instruction limit reached!
% 1.62/0.56 % (1693550)------------------------------
% 1.62/0.56 % (1693550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.56 % (1693550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.56 % (1693550)CaDiCaL version: 2.1.3
% 1.62/0.56 % (1693550)Termination reason: Instruction limit
% 1.62/0.56 % (1693550)Termination phase: Saturation
% 1.62/0.56 % (1693550)Time elapsed: 0.004 s
% 1.62/0.56 % (1693550)Peak memory usage: 12 MB
% 1.62/0.56 % (1693550)Instructions burned: 8 (million)
% 1.62/0.56 % (1693551)------------------------------
% 1.62/0.56 % (1693551)------------------------------
% 1.62/0.56 % (1693554)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=1862893239: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)
% 1.62/0.56 % (1693554)Refutation not found, incomplete strategy
% 1.62/0.56 % (1693554)------------------------------
% 1.62/0.56 % (1693554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.56 % (1693554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.56 % (1693554)CaDiCaL version: 2.1.3
% 1.62/0.56 % (1693554)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.56 % (1693554)Time elapsed: 0.001 s
% 1.62/0.56 % (1693554)Peak memory usage: 11 MB
% 1.62/0.56 % (1693554)Instructions burned: 1 (million)
% 1.62/0.56 % (1693554)------------------------------
% 1.62/0.56 % (1693554)------------------------------
% 1.62/0.56 % (1693555)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2806789208:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.62/0.56 % (1693555)Refutation not found, incomplete strategy
% 1.62/0.56 % (1693555)------------------------------
% 1.62/0.56 % (1693555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.56 % (1693555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.56 % (1693555)CaDiCaL version: 2.1.3
% 1.62/0.56 % (1693555)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.60 % (1693555)Time elapsed: 0.001 s
% 2.31/0.60 % (1693555)Peak memory usage: 11 MB
% 2.31/0.60 % (1693555)Instructions burned: 1 (million)
% 2.31/0.60 % (1693555)------------------------------
% 2.31/0.60 % (1693555)------------------------------
% 2.31/0.60 % (1693545)Instruction limit reached!
% 2.31/0.60 % (1693545)------------------------------
% 2.31/0.60 % (1693545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.60 % (1693545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.60 % (1693545)CaDiCaL version: 2.1.3
% 2.31/0.60 % (1693545)Termination reason: Instruction limit
% 2.31/0.60 % (1693545)Termination phase: Saturation
% 2.31/0.60 % (1693545)Time elapsed: 0.025 s
% 2.31/0.60 % (1693545)Peak memory usage: 12 MB
% 2.31/0.60 % (1693545)Instructions burned: 43 (million)
% 2.31/0.60 % (1693558)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3975091210:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.31/0.60 % (1693559)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3201407726:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.31/0.60 % (1693561)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=705044164:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.31/0.60 % (1693559)Refutation not found, incomplete strategy
% 2.31/0.60 % (1693559)------------------------------
% 2.31/0.60 % (1693559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.60 % (1693559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.60 % (1693559)CaDiCaL version: 2.1.3
% 2.31/0.60 % (1693559)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.60 % (1693559)Time elapsed: 0.002 s
% 2.31/0.60 % (1693559)Peak memory usage: 12 MB
% 2.31/0.60 % (1693559)Instructions burned: 3 (million)
% 2.31/0.60 % (1693563)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=2084539147:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.31/0.60 % (1693559)------------------------------
% 2.31/0.60 % (1693559)------------------------------
% 2.31/0.60 % (1693558)Instruction limit reached!
% 2.31/0.60 % (1693558)------------------------------
% 2.31/0.60 % (1693558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.60 % (1693558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.60 % (1693558)CaDiCaL version: 2.1.3
% 2.31/0.60 % (1693558)Termination reason: Instruction limit
% 2.31/0.60 % (1693558)Termination phase: Saturation
% 2.31/0.60 % (1693558)Time elapsed: 0.012 s
% 2.31/0.60 % (1693558)Peak memory usage: 12 MB
% 2.31/0.60 % (1693558)Instructions burned: 23 (million)
% 2.31/0.60 % (1693566)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4149941451:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.31/0.60 % (1693564)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=2951270661:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.31/0.60 % (1693566)Refutation not found, incomplete strategy
% 2.31/0.60 % (1693566)------------------------------
% 2.31/0.60 % (1693566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.60 % (1693566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.60 % (1693566)CaDiCaL version: 2.1.3
% 2.31/0.60 % (1693566)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.60 % (1693566)Time elapsed: 0.0000 s
% 2.31/0.60 % (1693566)Peak memory usage: 12 MB
% 2.31/0.60 % (1693566)Instructions burned: 1 (million)
% 2.31/0.60 % (1693566)------------------------------
% 2.31/0.60 % (1693566)------------------------------
% 2.31/0.60 % (1693573)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.31/0.60 % (1693573)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4148023993:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.31/0.64 % (1693564)Instruction limit reached!
% 2.31/0.64 % (1693564)------------------------------
% 2.31/0.64 % (1693564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (1693564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (1693564)CaDiCaL version: 2.1.3
% 2.31/0.64 % (1693564)Termination reason: Instruction limit
% 2.31/0.64 % (1693564)Termination phase: Saturation
% 2.31/0.64 % (1693564)Time elapsed: 0.027 s
% 2.31/0.64 % (1693564)Peak memory usage: 12 MB
% 2.31/0.64 % (1693564)Instructions burned: 47 (million)
% 2.31/0.64 % (1693570)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2197257547:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.31/0.64 % (1693574)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3522680373:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.31/0.64 % (1693576)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=813648343:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.31/0.64 % (1693573)Instruction limit reached!
% 2.31/0.64 % (1693573)------------------------------
% 2.31/0.64 % (1693573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (1693573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (1693573)CaDiCaL version: 2.1.3
% 2.31/0.64 % (1693573)Termination reason: Instruction limit
% 2.31/0.64 % (1693573)Termination phase: Saturation
% 2.31/0.64 % (1693573)Time elapsed: 0.040 s
% 2.31/0.64 % (1693573)Peak memory usage: 12 MB
% 2.31/0.64 % (1693573)Instructions burned: 202 (million)
% 2.31/0.64 % (1693570)Instruction limit reached!
% 2.31/0.64 % (1693570)------------------------------
% 2.31/0.64 % (1693570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (1693570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (1693570)CaDiCaL version: 2.1.3
% 2.31/0.64 % (1693570)Termination reason: Instruction limit
% 2.31/0.64 % (1693570)Termination phase: Saturation
% 2.31/0.64 % (1693570)Time elapsed: 0.022 s
% 2.31/0.64 % (1693570)Peak memory usage: 12 MB
% 2.31/0.64 % (1693570)Instructions burned: 22 (million)
% 2.31/0.64 % (1693574)Instruction limit reached!
% 2.31/0.64 % (1693574)------------------------------
% 2.31/0.64 % (1693574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (1693574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (1693574)CaDiCaL version: 2.1.3
% 2.31/0.64 % (1693574)Termination reason: Instruction limit
% 2.31/0.64 % (1693574)Termination phase: Saturation
% 2.31/0.64 % (1693574)Time elapsed: 0.019 s
% 2.31/0.64 % (1693574)Peak memory usage: 12 MB
% 2.31/0.64 % (1693574)Instructions burned: 14 (million)
% 2.31/0.64 % (1693581)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=458123557:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.31/0.64 % (1693580)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3606429657:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.31/0.64 % (1693580)Refutation not found, incomplete strategy
% 2.31/0.64 % (1693580)------------------------------
% 2.31/0.64 % (1693580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (1693580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (1693580)CaDiCaL version: 2.1.3
% 2.31/0.64 % (1693580)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.64 % (1693580)Time elapsed: 0.002 s
% 2.31/0.64 % (1693580)Peak memory usage: 12 MB
% 2.31/0.64 % (1693580)Instructions burned: 2 (million)
% 2.31/0.64 % (1693580)------------------------------
% 2.31/0.64 % (1693580)------------------------------
% 2.31/0.64 % (1693582)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3587714004:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.31/0.64 % (1693581)Instruction limit reached!
% 2.31/0.64 % (1693581)------------------------------
% 2.31/0.64 % (1693581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (1693581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.68 % (1693581)CaDiCaL version: 2.1.3
% 2.74/0.68 % (1693581)Termination reason: Instruction limit
% 2.74/0.68 % (1693581)Termination phase: Saturation
% 2.74/0.68 % (1693581)Time elapsed: 0.010 s
% 2.74/0.68 % (1693581)Peak memory usage: 12 MB
% 2.74/0.68 % (1693581)Instructions burned: 34 (million)
% 2.74/0.68 % (1693576)Instruction limit reached!
% 2.74/0.68 % (1693576)------------------------------
% 2.74/0.68 % (1693576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.68 % (1693576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.68 % (1693576)CaDiCaL version: 2.1.3
% 2.74/0.68 % (1693576)Termination reason: Instruction limit
% 2.74/0.68 % (1693576)Termination phase: Saturation
% 2.74/0.68 % (1693576)Time elapsed: 0.031 s
% 2.74/0.68 % (1693576)Peak memory usage: 12 MB
% 2.74/0.68 % (1693576)Instructions burned: 68 (million)
% 2.74/0.68 % (1693587)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1981882687:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.74/0.68 % (1693587)Refutation not found, incomplete strategy
% 2.74/0.68 % (1693587)------------------------------
% 2.74/0.68 % (1693587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.68 % (1693587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.68 % (1693587)CaDiCaL version: 2.1.3
% 2.74/0.68 % (1693587)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.68 % (1693587)Time elapsed: 0.001 s
% 2.74/0.68 % (1693587)Peak memory usage: 12 MB
% 2.74/0.68 % (1693587)Instructions burned: 2 (million)
% 2.74/0.68 % (1693587)------------------------------
% 2.74/0.68 % (1693587)------------------------------
% 2.74/0.68 % (1693585)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=1538599101:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.74/0.68 % (1693588)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.74/0.68 % (1693588)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1807782615:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.74/0.68 % (1693590)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1614807750:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.74/0.68 % (1693590)Refutation not found, incomplete strategy
% 2.74/0.68 % (1693590)------------------------------
% 2.74/0.68 % (1693590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.68 % (1693590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.68 % (1693590)CaDiCaL version: 2.1.3
% 2.74/0.68 % (1693590)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.68 % (1693590)Time elapsed: 0.0000 s
% 2.74/0.68 % (1693590)Peak memory usage: 12 MB
% 2.74/0.68 % (1693590)Instructions burned: 1 (million)
% 2.74/0.68 % (1693590)------------------------------
% 2.74/0.68 % (1693590)------------------------------
% 2.74/0.68 % (1693594)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1212441332:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.74/0.68 % (1693585)Instruction limit reached!
% 2.74/0.68 % (1693585)------------------------------
% 2.74/0.68 % (1693585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.68 % (1693585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.68 % (1693585)CaDiCaL version: 2.1.3
% 2.74/0.68 % (1693585)Termination reason: Instruction limit
% 2.74/0.68 % (1693585)Termination phase: Saturation
% 2.74/0.68 % (1693585)Time elapsed: 0.020 s
% 2.74/0.68 % (1693585)Peak memory usage: 12 MB
% 2.74/0.68 % (1693585)Instructions burned: 35 (million)
% 2.74/0.68 % (1693596)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1229912782:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.74/0.68 % (1693596)Refutation not found, incomplete strategy
% 2.74/0.68 % (1693596)------------------------------
% 2.74/0.68 % (1693596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.68 % (1693596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.68 % (1693596)CaDiCaL version: 2.1.3
% 2.74/0.68 % (1693596)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.75 % (1693596)Time elapsed: 0.0000 s
% 2.99/0.75 % (1693596)Peak memory usage: 12 MB
% 2.99/0.75 % (1693596)Instructions burned: 1 (million)
% 2.99/0.75 % (1693596)------------------------------
% 2.99/0.75 % (1693596)------------------------------
% 2.99/0.75 % (1693598)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3716120972:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 2.99/0.75 % (1693598)Refutation not found, incomplete strategy
% 2.99/0.75 % (1693598)------------------------------
% 2.99/0.75 % (1693598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (1693598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (1693598)CaDiCaL version: 2.1.3
% 2.99/0.75 % (1693598)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.75 % (1693598)Time elapsed: 0.0000 s
% 2.99/0.75 % (1693598)Peak memory usage: 11 MB
% 2.99/0.75 % (1693598)Instructions burned: 1 (million)
% 2.99/0.75 % (1693598)------------------------------
% 2.99/0.75 % (1693598)------------------------------
% 2.99/0.75 % (1693582)Instruction limit reached!
% 2.99/0.75 % (1693582)------------------------------
% 2.99/0.75 % (1693582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (1693582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (1693582)CaDiCaL version: 2.1.3
% 2.99/0.75 % (1693582)Termination reason: Instruction limit
% 2.99/0.75 % (1693582)Termination phase: Saturation
% 2.99/0.75 % (1693582)Time elapsed: 0.071 s
% 2.99/0.75 % (1693582)Peak memory usage: 12 MB
% 2.99/0.75 % (1693582)Instructions burned: 137 (million)
% 2.99/0.75 % (1693600)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1922513032:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.99/0.75 % (1693600)Refutation not found, incomplete strategy
% 2.99/0.75 % (1693600)------------------------------
% 2.99/0.75 % (1693600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (1693600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (1693600)CaDiCaL version: 2.1.3
% 2.99/0.75 % (1693600)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.75 % (1693600)Time elapsed: 0.0000 s
% 2.99/0.75 % (1693600)Peak memory usage: 12 MB
% 2.99/0.75 % (1693600)Instructions burned: 1 (million)
% 2.99/0.75 % (1693600)------------------------------
% 2.99/0.75 % (1693600)------------------------------
% 2.99/0.75 % (1693594)Instruction limit reached!
% 2.99/0.75 % (1693594)------------------------------
% 2.99/0.75 % (1693594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (1693594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (1693594)CaDiCaL version: 2.1.3
% 2.99/0.75 % (1693594)Termination reason: Instruction limit
% 2.99/0.75 % (1693594)Termination phase: Saturation
% 2.99/0.75 % (1693594)Time elapsed: 0.043 s
% 2.99/0.75 % (1693594)Peak memory usage: 12 MB
% 2.99/0.75 % (1693594)Instructions burned: 97 (million)
% 2.99/0.75 % (1693603)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=425630225:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 2.99/0.75 % (1693561)Instruction limit reached!
% 2.99/0.75 % (1693561)------------------------------
% 2.99/0.75 % (1693561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (1693561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (1693561)CaDiCaL version: 2.1.3
% 2.99/0.75 % (1693561)Termination reason: Instruction limit
% 2.99/0.75 % (1693561)Termination phase: Saturation
% 2.99/0.75 % (1693561)Time elapsed: 0.167 s
% 2.99/0.75 % (1693561)Peak memory usage: 13 MB
% 2.99/0.75 % (1693561)Instructions burned: 316 (million)
% 2.99/0.75 % (1693602)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=921786917:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.99/0.75 % (1693602)Refutation not found, incomplete strategy
% 2.99/0.75 % (1693602)------------------------------
% 2.99/0.75 % (1693602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (1693602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (1693602)CaDiCaL version: 2.1.3
% 2.99/0.75 % (1693602)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.75 % (1693602)Time elapsed: 0.001 s
% 2.99/0.75 % (1693602)Peak memory usage: 11 MB
% 2.99/0.75 % (1693602)Instructions burned: 1 (million)
% 3.50/0.81 % (1693602)------------------------------
% 3.50/0.81 % (1693602)------------------------------
% 3.50/0.81 % (1693603)Instruction limit reached!
% 3.50/0.81 % (1693603)------------------------------
% 3.50/0.81 % (1693603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.81 % (1693603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.81 % (1693603)CaDiCaL version: 2.1.3
% 3.50/0.81 % (1693603)Termination reason: Instruction limit
% 3.50/0.81 % (1693603)Termination phase: Saturation
% 3.50/0.81 % (1693603)Time elapsed: 0.012 s
% 3.50/0.81 % (1693603)Peak memory usage: 12 MB
% 3.50/0.81 % (1693603)Instructions burned: 46 (million)
% 3.50/0.81 % (1693604)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3142291423:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.50/0.81 % (1693604)Refutation not found, incomplete strategy
% 3.50/0.81 % (1693604)------------------------------
% 3.50/0.81 % (1693604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.81 % (1693604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.81 % (1693604)CaDiCaL version: 2.1.3
% 3.50/0.81 % (1693604)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.81 % (1693604)Time elapsed: 0.001 s
% 3.50/0.81 % (1693604)Peak memory usage: 12 MB
% 3.50/0.81 % (1693604)Instructions burned: 1 (million)
% 3.50/0.81 % (1693604)------------------------------
% 3.50/0.81 % (1693604)------------------------------
% 3.50/0.81 % (1693588)Instruction limit reached!
% 3.50/0.81 % (1693588)------------------------------
% 3.50/0.81 % (1693588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.81 % (1693588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.81 % (1693606)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4031867689:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.50/0.81 % (1693588)CaDiCaL version: 2.1.3
% 3.50/0.81 % (1693588)Termination reason: Instruction limit
% 3.50/0.81 % (1693588)Termination phase: Saturation
% 3.50/0.81 % (1693588)Time elapsed: 0.082 s
% 3.50/0.81 % (1693588)Peak memory usage: 12 MB
% 3.50/0.81 % (1693588)Instructions burned: 183 (million)
% 3.50/0.81 % (1693609)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=3116502943:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.50/0.81 % (1693608)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=698235164:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.50/0.81 % (1693611)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=2202247607:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.50/0.81 % (1693613)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=942855530:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.50/0.81 % (1693609)Instruction limit reached!
% 3.50/0.81 % (1693609)------------------------------
% 3.50/0.81 % (1693609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.81 % (1693609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.81 % (1693609)CaDiCaL version: 2.1.3
% 3.50/0.81 % (1693609)Termination reason: Instruction limit
% 3.50/0.81 % (1693609)Termination phase: Saturation
% 3.50/0.81 % (1693609)Time elapsed: 0.018 s
% 3.50/0.81 % (1693609)Peak memory usage: 12 MB
% 3.50/0.81 % (1693609)Instructions burned: 70 (million)
% 3.50/0.81 % (1693613)Refutation not found, incomplete strategy
% 3.50/0.81 % (1693613)------------------------------
% 3.50/0.81 % (1693613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.81 % (1693613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.81 % (1693613)CaDiCaL version: 2.1.3
% 3.50/0.81 % (1693613)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.81 % (1693613)Time elapsed: 0.001 s
% 3.75/0.93 % (1693613)Peak memory usage: 12 MB
% 3.75/0.93 % (1693613)Instructions burned: 1 (million)
% 3.75/0.93 % (1693613)------------------------------
% 3.75/0.93 % (1693613)------------------------------
% 3.75/0.93 % (1693618)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3700986533:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.75/0.93 % (1693618)Refutation not found, incomplete strategy
% 3.75/0.93 % (1693618)------------------------------
% 3.75/0.93 % (1693618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.93 % (1693618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.93 % (1693618)CaDiCaL version: 2.1.3
% 3.75/0.93 % (1693618)Termination reason: Refutation not found, incomplete strategy
% 3.75/0.93 % (1693618)Time elapsed: 0.001 s
% 3.75/0.93 % (1693618)Peak memory usage: 11 MB
% 3.75/0.93 % (1693618)------------------------------
% 3.75/0.93 % (1693618)------------------------------
% 3.75/0.93 % (1693619)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=321131844:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.75/0.93 % (1693621)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=3979088541:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.75/0.93 % (1693608)Instruction limit reached!
% 3.75/0.93 % (1693608)------------------------------
% 3.75/0.93 % (1693608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.93 % (1693608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.93 % (1693608)CaDiCaL version: 2.1.3
% 3.75/0.93 % (1693608)Termination reason: Instruction limit
% 3.75/0.93 % (1693608)Termination phase: Saturation
% 3.75/0.93 % (1693608)Time elapsed: 0.056 s
% 3.75/0.93 % (1693608)Peak memory usage: 12 MB
% 3.75/0.93 % (1693608)Instructions burned: 96 (million)
% 3.75/0.93 % (1693621)Instruction limit reached!
% 3.75/0.93 % (1693621)------------------------------
% 3.75/0.93 % (1693621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.93 % (1693621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.93 % (1693621)CaDiCaL version: 2.1.3
% 3.75/0.93 % (1693621)Termination reason: Instruction limit
% 3.75/0.93 % (1693621)Termination phase: Saturation
% 3.75/0.93 % (1693621)Time elapsed: 0.017 s
% 3.75/0.93 % (1693621)Peak memory usage: 12 MB
% 3.75/0.93 % (1693621)Instructions burned: 43 (million)
% 3.75/0.93 % (1693625)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1313363147:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.75/0.93 % (1693625)Refutation not found, incomplete strategy
% 3.75/0.93 % (1693625)------------------------------
% 3.75/0.93 % (1693625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.93 % (1693625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.93 % (1693625)CaDiCaL version: 2.1.3
% 3.75/0.93 % (1693625)Termination reason: Refutation not found, incomplete strategy
% 3.75/0.93 % (1693625)Time elapsed: 0.0000 s
% 3.75/0.93 % (1693625)Peak memory usage: 11 MB
% 3.75/0.93 % (1693625)------------------------------
% 3.75/0.93 % (1693625)------------------------------
% 3.75/0.93 % (1693624)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2650617817:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.75/0.93 % (1693611)Instruction limit reached!
% 3.75/0.93 % (1693611)------------------------------
% 3.75/0.93 % (1693611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.93 % (1693611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.93 % (1693611)CaDiCaL version: 2.1.3
% 3.75/0.93 % (1693611)Termination reason: Instruction limit
% 3.75/0.93 % (1693611)Termination phase: Saturation
% 3.75/0.93 % (1693611)Time elapsed: 0.071 s
% 3.75/0.93 % (1693611)Peak memory usage: 12 MB
% 3.75/0.93 % (1693611)Instructions burned: 106 (million)
% 3.75/0.93 % (1693627)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=237730602:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.75/0.93 % (1693627)Instruction limit reached!
% 3.75/0.93 % (1693627)------------------------------
% 3.75/0.93 % (1693627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.97 % (1693627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.97 % (1693627)CaDiCaL version: 2.1.3
% 3.75/0.97 % (1693627)Termination reason: Instruction limit
% 3.75/0.97 % (1693627)Termination phase: Saturation
% 3.75/0.97 % (1693627)Time elapsed: 0.006 s
% 3.75/0.97 % (1693627)Peak memory usage: 12 MB
% 3.75/0.97 % (1693627)Instructions burned: 25 (million)
% 3.75/0.97 % (1693629)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=2973836597:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.75/0.97 % (1693631)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2191504691:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 3.75/0.97 % (1693631)Refutation not found, incomplete strategy
% 3.75/0.97 % (1693631)------------------------------
% 3.75/0.97 % (1693631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.97 % (1693631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.97 % (1693631)CaDiCaL version: 2.1.3
% 3.75/0.97 % (1693631)Termination reason: Refutation not found, incomplete strategy
% 3.75/0.97 % (1693631)Time elapsed: 0.0000 s
% 3.75/0.97 % (1693631)Peak memory usage: 11 MB
% 3.75/0.97 % (1693631)Instructions burned: 1 (million)
% 3.75/0.97 % (1693631)------------------------------
% 3.75/0.97 % (1693631)------------------------------
% 3.75/0.97 % (1693634)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.75/0.97 % (1693634)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=621985999:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.75/0.97 % (1693624)Instruction limit reached!
% 3.75/0.97 % (1693624)------------------------------
% 3.75/0.97 % (1693624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.97 % (1693624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.97 % (1693624)CaDiCaL version: 2.1.3
% 3.75/0.97 % (1693624)Termination reason: Instruction limit
% 3.75/0.97 % (1693624)Termination phase: Saturation
% 3.75/0.97 % (1693624)Time elapsed: 0.039 s
% 3.75/0.97 % (1693624)Peak memory usage: 12 MB
% 3.75/0.97 % (1693624)Instructions burned: 93 (million)
% 3.75/0.97 % (1693563)Instruction limit reached!
% 3.75/0.97 % (1693563)------------------------------
% 3.75/0.97 % (1693563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.97 % (1693563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.97 % (1693563)CaDiCaL version: 2.1.3
% 3.75/0.97 % (1693563)Termination reason: Instruction limit
% 3.75/0.97 % (1693563)Termination phase: Saturation
% 3.75/0.97 % (1693563)Time elapsed: 0.307 s
% 3.75/0.97 % (1693563)Peak memory usage: 13 MB
% 3.75/0.97 % (1693563)Instructions burned: 854 (million)
% 3.75/0.97 % (1693636)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=269410938:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 3.75/0.97 % (1693637)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2040946352:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 3.75/0.97 % (1693637)Refutation not found, incomplete strategy
% 3.75/0.97 % (1693637)------------------------------
% 3.75/0.97 % (1693637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.97 % (1693637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.97 % (1693637)CaDiCaL version: 2.1.3
% 3.75/0.97 % (1693637)Termination reason: Refutation not found, incomplete strategy
% 3.75/0.97 % (1693637)Time elapsed: 0.001 s
% 3.75/0.97 % (1693637)Peak memory usage: 11 MB
% 3.75/0.97 % (1693637)------------------------------
% 3.75/0.97 % (1693637)------------------------------
% 3.75/0.97 % (1693634)Instruction limit reached!
% 3.75/0.97 % (1693634)------------------------------
% 3.75/0.97 % (1693634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.97 % (1693634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.97 % (1693634)CaDiCaL version: 2.1.3
% 3.75/0.97 % (1693634)Termination reason: Instruction limit
% 3.75/1.01 % (1693634)Termination phase: Saturation
% 3.75/1.01 % (1693634)Time elapsed: 0.033 s
% 3.75/1.01 % (1693634)Peak memory usage: 12 MB
% 3.75/1.01 % (1693634)Instructions burned: 140 (million)
% 3.75/1.01 % (1693640)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.75/1.01 % (1693640)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1804382120:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 3.75/1.01 % (1693641)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3938647462:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 3.75/1.01 % (1693641)Instruction limit reached!
% 3.75/1.01 % (1693641)------------------------------
% 3.75/1.01 % (1693641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/1.01 % (1693641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.01 % (1693641)CaDiCaL version: 2.1.3
% 3.75/1.01 % (1693641)Termination reason: Instruction limit
% 3.75/1.01 % (1693641)Termination phase: Saturation
% 3.75/1.01 % (1693641)Time elapsed: 0.048 s
% 3.75/1.01 % (1693641)Peak memory usage: 13 MB
% 3.75/1.01 % (1693641)Instructions burned: 118 (million)
% 3.75/1.01 % (1693644)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2106903883:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 3.75/1.01 % (1693644)Refutation not found, incomplete strategy
% 3.75/1.01 % (1693644)------------------------------
% 3.75/1.01 % (1693644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/1.01 % (1693644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.01 % (1693644)CaDiCaL version: 2.1.3
% 3.75/1.01 % (1693644)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.01 % (1693644)Time elapsed: 0.003 s
% 3.75/1.01 % (1693644)Peak memory usage: 12 MB
% 3.75/1.01 % (1693644)Instructions burned: 2 (million)
% 3.75/1.01 % (1693644)------------------------------
% 3.75/1.01 % (1693644)------------------------------
% 3.75/1.01 % (1693629)Instruction limit reached!
% 3.75/1.01 % (1693629)------------------------------
% 3.75/1.01 % (1693629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/1.01 % (1693629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.01 % (1693629)CaDiCaL version: 2.1.3
% 3.75/1.01 % (1693629)Termination reason: Instruction limit
% 3.75/1.01 % (1693629)Termination phase: Saturation
% 3.75/1.01 % (1693629)Time elapsed: 0.147 s
% 3.75/1.01 % (1693629)Peak memory usage: 14 MB
% 3.75/1.01 % (1693629)Instructions burned: 340 (million)
% 3.75/1.01 % (1693646)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=924255971:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 3.75/1.01 % (1693606)Instruction limit reached!
% 3.75/1.01 % (1693606)------------------------------
% 3.75/1.01 % (1693606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/1.01 % (1693606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.01 % (1693606)CaDiCaL version: 2.1.3
% 3.75/1.01 % (1693606)Termination reason: Instruction limit
% 3.75/1.01 % (1693606)Termination phase: Saturation
% 3.75/1.01 % (1693606)Time elapsed: 0.265 s
% 3.75/1.01 % (1693606)Peak memory usage: 12 MB
% 3.75/1.01 % (1693606)Instructions burned: 452 (million)
% 3.75/1.01 % (1693647)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=664140447: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_2993 on theBenchmark for (2993ds/9840Mi)
% 3.75/1.01 % (1693540)Instruction limit reached!
% 3.75/1.01 % (1693540)------------------------------
% 3.75/1.01 % (1693540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/1.01 % (1693540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.01 % (1693540)CaDiCaL version: 2.1.3
% 3.75/1.01 % (1693540)Termination reason: Instruction limit
% 3.75/1.01 % (1693540)Termination phase: Saturation
% 3.75/1.01 % (1693540)Time elapsed: 0.505 s
% 3.75/1.01 % (1693540)Peak memory usage: 13 MB
% 3.75/1.01 % (1693540)Instructions burned: 1241 (million)
% 3.75/1.01 % (1693649)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=4081111945:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.60/1.07 % (1693649)Refutation not found, incomplete strategy
% 5.60/1.07 % (1693649)------------------------------
% 5.60/1.07 % (1693649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.07 % (1693649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.07 % (1693649)CaDiCaL version: 2.1.3
% 5.60/1.07 % (1693649)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.07 % (1693649)Time elapsed: 0.0000 s
% 5.60/1.07 % (1693649)Peak memory usage: 12 MB
% 5.60/1.07 % (1693649)Instructions burned: 1 (million)
% 5.60/1.07 % (1693649)------------------------------
% 5.60/1.07 % (1693649)------------------------------
% 5.60/1.07 % (1693619)Instruction limit reached!
% 5.60/1.07 % (1693619)------------------------------
% 5.60/1.07 % (1693619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.07 % (1693619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.07 % (1693619)CaDiCaL version: 2.1.3
% 5.60/1.07 % (1693619)Termination reason: Instruction limit
% 5.60/1.07 % (1693619)Termination phase: Saturation
% 5.60/1.07 % (1693619)Time elapsed: 0.227 s
% 5.60/1.07 % (1693619)Peak memory usage: 13 MB
% 5.60/1.07 % (1693619)Instructions burned: 497 (million)
% 5.60/1.07 % (1693653)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4284517676:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.60/1.07 % (1693651)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.60/1.07 % (1693636)Instruction limit reached!
% 5.60/1.07 % (1693636)------------------------------
% 5.60/1.07 % (1693636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.07 % (1693636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.07 % (1693636)CaDiCaL version: 2.1.3
% 5.60/1.07 % (1693636)Termination reason: Instruction limit
% 5.60/1.07 % (1693636)Termination phase: Saturation
% 5.60/1.07 % (1693636)Time elapsed: 0.148 s
% 5.60/1.07 % (1693636)Peak memory usage: 13 MB
% 5.60/1.07 % (1693636)Instructions burned: 340 (million)
% 5.60/1.07 % (1693651)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=4233143250:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.60/1.07 % (1693654)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.60/1.07 % (1693654)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.60/1.07 % (1693653)Instruction limit reached!
% 5.60/1.07 % (1693653)------------------------------
% 5.60/1.07 % (1693653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.07 % (1693653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.07 % (1693653)CaDiCaL version: 2.1.3
% 5.60/1.07 % (1693653)Termination reason: Instruction limit
% 5.60/1.07 % (1693653)Termination phase: Saturation
% 5.60/1.07 % (1693653)Time elapsed: 0.008 s
% 5.60/1.07 % (1693653)Peak memory usage: 12 MB
% 5.60/1.07 % (1693653)Instructions burned: 32 (million)
% 5.60/1.07 % (1693654)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=662773170:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.60/1.07 % (1693659)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=570454685:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.60/1.07 % (1693656)dis+10_2_sil=128000:si=on:random_seed=2034606611:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.60/1.07 % (1693656)Refutation not found, incomplete strategy
% 5.60/1.07 % (1693656)------------------------------
% 5.60/1.07 % (1693656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.07 % (1693656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.14 % (1693656)CaDiCaL version: 2.1.3
% 5.60/1.14 % (1693656)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.14 % (1693656)Time elapsed: 0.001 s
% 5.60/1.14 % (1693656)Peak memory usage: 11 MB
% 5.60/1.14 % (1693656)------------------------------
% 5.60/1.14 % (1693656)------------------------------
% 5.60/1.14 % (1693662)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=535363570:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 5.60/1.14 % (1693662)Refutation not found, incomplete strategy
% 5.60/1.14 % (1693662)------------------------------
% 5.60/1.14 % (1693662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.14 % (1693662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.14 % (1693662)CaDiCaL version: 2.1.3
% 5.60/1.14 % (1693662)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.14 % (1693662)Time elapsed: 0.001 s
% 5.60/1.14 % (1693662)Peak memory usage: 11 MB
% 5.60/1.14 % (1693662)Instructions burned: 1 (million)
% 5.60/1.14 % (1693662)------------------------------
% 5.60/1.14 % (1693662)------------------------------
% 5.60/1.14 % (1693659)Instruction limit reached!
% 5.60/1.14 % (1693659)------------------------------
% 5.60/1.14 % (1693659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.14 % (1693659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.14 % (1693659)CaDiCaL version: 2.1.3
% 5.60/1.14 % (1693659)Termination reason: Instruction limit
% 5.60/1.14 % (1693659)Termination phase: Saturation
% 5.60/1.14 % (1693659)Time elapsed: 0.027 s
% 5.60/1.14 % (1693659)Peak memory usage: 12 MB
% 5.60/1.14 % (1693659)Instructions burned: 115 (million)
% 5.60/1.14 % (1693640)Instruction limit reached!
% 5.60/1.14 % (1693640)------------------------------
% 5.60/1.14 % (1693640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.14 % (1693640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.14 % (1693640)CaDiCaL version: 2.1.3
% 5.60/1.14 % (1693640)Termination reason: Instruction limit
% 5.60/1.14 % (1693640)Termination phase: Saturation
% 5.60/1.14 % (1693640)Time elapsed: 0.173 s
% 5.60/1.14 % (1693640)Peak memory usage: 12 MB
% 5.60/1.14 % (1693640)Instructions burned: 373 (million)
% 5.60/1.14 % (1693665)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1161103874:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 5.60/1.14 % (1693665)Refutation not found, incomplete strategy
% 5.60/1.14 % (1693665)------------------------------
% 5.60/1.14 % (1693665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.14 % (1693665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.14 % (1693665)CaDiCaL version: 2.1.3
% 5.60/1.14 % (1693665)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.14 % (1693665)Time elapsed: 0.0000 s
% 5.60/1.14 % (1693665)Peak memory usage: 11 MB
% 5.60/1.14 % (1693665)------------------------------
% 5.60/1.14 % (1693665)------------------------------
% 5.60/1.14 % (1693664)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=2834038120:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 5.60/1.14 % (1693664)Refutation not found, incomplete strategy
% 5.60/1.14 % (1693664)------------------------------
% 5.60/1.14 % (1693664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.14 % (1693664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.14 % (1693664)CaDiCaL version: 2.1.3
% 5.60/1.14 % (1693664)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.14 % (1693664)Time elapsed: 0.001 s
% 5.60/1.14 % (1693664)Peak memory usage: 12 MB
% 5.60/1.14 % (1693664)Instructions burned: 2 (million)
% 5.60/1.14 % (1693664)------------------------------
% 5.60/1.14 % (1693664)------------------------------
% 5.60/1.14 % (1693668)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 5.60/1.14 % (1693666)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=3637301093:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.36/1.22 % (1693668)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=2998587760:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.36/1.22 % (1693666)Refutation not found, incomplete strategy
% 6.36/1.22 % (1693666)------------------------------
% 6.36/1.22 % (1693666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.22 % (1693666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.22 % (1693666)CaDiCaL version: 2.1.3
% 6.36/1.22 % (1693666)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.22 % (1693666)Time elapsed: 0.002 s
% 6.36/1.22 % (1693666)Peak memory usage: 11 MB
% 6.36/1.22 % (1693666)Instructions burned: 3 (million)
% 6.36/1.22 % (1693666)------------------------------
% 6.36/1.22 % (1693666)------------------------------
% 6.36/1.22 % (1693670)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=956536758:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.36/1.22 % (1693670)Refutation not found, incomplete strategy
% 6.36/1.22 % (1693670)------------------------------
% 6.36/1.22 % (1693670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.22 % (1693670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.22 % (1693670)CaDiCaL version: 2.1.3
% 6.36/1.22 % (1693670)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.22 % (1693670)Time elapsed: 0.002 s
% 6.36/1.22 % (1693670)Peak memory usage: 12 MB
% 6.36/1.22 % (1693670)Instructions burned: 3 (million)
% 6.36/1.22 % (1693670)------------------------------
% 6.36/1.22 % (1693670)------------------------------
% 6.36/1.22 % (1693673)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=2986907073:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.36/1.22 % (1693675)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1044574530:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.36/1.22 % (1693675)Refutation not found, incomplete strategy
% 6.36/1.22 % (1693675)------------------------------
% 6.36/1.22 % (1693675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.22 % (1693675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.22 % (1693675)CaDiCaL version: 2.1.3
% 6.36/1.22 % (1693675)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.22 % (1693675)Time elapsed: 0.001 s
% 6.36/1.22 % (1693675)Peak memory usage: 11 MB
% 6.36/1.22 % (1693675)Instructions burned: 1 (million)
% 6.36/1.22 % (1693675)------------------------------
% 6.36/1.22 % (1693675)------------------------------
% 6.36/1.22 % (1693651)Instruction limit reached!
% 6.36/1.22 % (1693651)------------------------------
% 6.36/1.22 % (1693651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.22 % (1693651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.22 % (1693651)CaDiCaL version: 2.1.3
% 6.36/1.22 % (1693651)Termination reason: Instruction limit
% 6.36/1.22 % (1693651)Termination phase: Saturation
% 6.36/1.22 % (1693651)Time elapsed: 0.107 s
% 6.36/1.22 % (1693651)Peak memory usage: 12 MB
% 6.36/1.22 % (1693651)Instructions burned: 272 (million)
% 6.36/1.22 % (1693678)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1730688022:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.36/1.22 % (1693646)Instruction limit reached!
% 6.36/1.22 % (1693646)------------------------------
% 6.36/1.22 % (1693646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.22 % (1693646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.22 % (1693646)CaDiCaL version: 2.1.3
% 6.36/1.22 % (1693646)Termination reason: Instruction limit
% 6.36/1.22 % (1693646)Termination phase: Saturation
% 6.36/1.22 % (1693646)Time elapsed: 0.153 s
% 6.36/1.22 % (1693646)Peak memory usage: 12 MB
% 6.36/1.22 % (1693678)Refutation not found, incomplete strategy
% 6.36/1.22 % (1693678)------------------------------
% 6.36/1.22 % (1693678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.22 % (1693646)Instructions burned: 271 (million)
% 6.36/1.22 % (1693678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.41 % (1693678)CaDiCaL version: 2.1.3
% 7.13/1.41 % (1693678)Termination reason: Refutation not found, incomplete strategy
% 7.13/1.41 % (1693678)Time elapsed: 0.001 s
% 7.13/1.41 % (1693678)Peak memory usage: 11 MB
% 7.13/1.41 % (1693678)------------------------------
% 7.13/1.41 % (1693678)------------------------------
% 7.13/1.41 % (1693679)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=713738603:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 7.13/1.41 % (1693679)Refutation not found, incomplete strategy
% 7.13/1.41 % (1693679)------------------------------
% 7.13/1.41 % (1693679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.41 % (1693679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.41 % (1693679)CaDiCaL version: 2.1.3
% 7.13/1.41 % (1693679)Termination reason: Refutation not found, incomplete strategy
% 7.13/1.41 % (1693679)Time elapsed: 0.001 s
% 7.13/1.41 % (1693679)Peak memory usage: 11 MB
% 7.13/1.41 % (1693679)Instructions burned: 1 (million)
% 7.13/1.41 % (1693679)------------------------------
% 7.13/1.41 % (1693679)------------------------------
% 7.13/1.41 % (1693681)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1096136423:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 7.13/1.41 % (1693668)Instruction limit reached!
% 7.13/1.41 % (1693668)------------------------------
% 7.13/1.41 % (1693668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.41 % (1693668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.41 % (1693668)CaDiCaL version: 2.1.3
% 7.13/1.41 % (1693668)Termination reason: Instruction limit
% 7.13/1.41 % (1693668)Termination phase: Saturation
% 7.13/1.41 % (1693668)Time elapsed: 0.079 s
% 7.13/1.41 % (1693668)Peak memory usage: 13 MB
% 7.13/1.41 % (1693668)Instructions burned: 283 (million)
% 7.13/1.41 % (1693684)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3472405642:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 7.13/1.41 % (1693683)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2086776700:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 7.13/1.41 % (1693684)Refutation not found, incomplete strategy
% 7.13/1.41 % (1693684)------------------------------
% 7.13/1.41 % (1693684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.41 % (1693684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.41 % (1693684)CaDiCaL version: 2.1.3
% 7.13/1.41 % (1693684)Termination reason: Refutation not found, incomplete strategy
% 7.13/1.41 % (1693684)Time elapsed: 0.001 s
% 7.13/1.41 % (1693684)Peak memory usage: 11 MB
% 7.13/1.41 % (1693684)Instructions burned: 1 (million)
% 7.13/1.41 % (1693684)------------------------------
% 7.13/1.41 % (1693684)------------------------------
% 7.13/1.41 % (1693686)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=1286004339:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 7.13/1.41 % (1693689)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2386931270:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.13/1.41 % (1693683)Instruction limit reached!
% 7.13/1.41 % (1693683)------------------------------
% 7.13/1.41 % (1693683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.41 % (1693683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.41 % (1693683)CaDiCaL version: 2.1.3
% 7.13/1.41 % (1693683)Termination reason: Instruction limit
% 7.13/1.41 % (1693683)Termination phase: Saturation
% 7.13/1.41 % (1693683)Time elapsed: 0.033 s
% 7.13/1.41 % (1693683)Peak memory usage: 12 MB
% 7.13/1.41 % (1693683)Instructions burned: 76 (million)
% 7.13/1.41 % (1693686)Instruction limit reached!
% 7.13/1.41 % (1693686)------------------------------
% 7.13/1.41 % (1693686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.41 % (1693686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.41 % (1693686)CaDiCaL version: 2.1.3
% 7.13/1.41 % (1693686)Termination reason: Instruction limit
% 7.13/1.41 % (1693686)Termination phase: Saturation
% 7.13/1.41 % (1693686)Time elapsed: 0.037 s
% 7.13/1.41 % (1693686)Peak memory usage: 12 MB
% 7.13/1.41 % (1693686)Instructions burned: 152 (million)
% 8.61/1.63 % (1693692)lrs+10_1_sil=128000:si=on:random_seed=2030862505:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 8.61/1.63 % (1693692)Refutation not found, incomplete strategy
% 8.61/1.63 % (1693692)------------------------------
% 8.61/1.63 % (1693692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/1.63 % (1693692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.63 % (1693692)CaDiCaL version: 2.1.3
% 8.61/1.63 % (1693692)Termination reason: Refutation not found, incomplete strategy
% 8.61/1.63 % (1693692)Time elapsed: 0.001 s
% 8.61/1.63 % (1693692)Peak memory usage: 11 MB
% 8.61/1.63 % (1693692)Instructions burned: 1 (million)
% 8.61/1.63 % (1693692)------------------------------
% 8.61/1.63 % (1693692)------------------------------
% 8.61/1.63 % (1693693)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=1246298351:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 8.61/1.63 % (1693693)Refutation not found, incomplete strategy
% 8.61/1.63 % (1693693)------------------------------
% 8.61/1.63 % (1693693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/1.63 % (1693693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.63 % (1693693)CaDiCaL version: 2.1.3
% 8.61/1.63 % (1693693)Termination reason: Refutation not found, incomplete strategy
% 8.61/1.63 % (1693693)Time elapsed: 0.001 s
% 8.61/1.63 % (1693693)Peak memory usage: 12 MB
% 8.61/1.63 % (1693693)Instructions burned: 2 (million)
% 8.61/1.63 % (1693693)------------------------------
% 8.61/1.63 % (1693693)------------------------------
% 8.61/1.63 % (1693681)Instruction limit reached!
% 8.61/1.63 % (1693681)------------------------------
% 8.61/1.63 % (1693681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/1.63 % (1693681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.63 % (1693681)CaDiCaL version: 2.1.3
% 8.61/1.63 % (1693681)Termination reason: Instruction limit
% 8.61/1.63 % (1693681)Termination phase: Saturation
% 8.61/1.63 % (1693681)Time elapsed: 0.074 s
% 8.61/1.63 % (1693681)Peak memory usage: 12 MB
% 8.61/1.63 % (1693681)Instructions burned: 152 (million)
% 8.61/1.63 % (1693695)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=2252395028:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 8.61/1.63 % (1693697)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=914975580:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 8.61/1.63 % (1693689)Instruction limit reached!
% 8.61/1.63 % (1693689)------------------------------
% 8.61/1.63 % (1693689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/1.63 % (1693689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.63 % (1693689)CaDiCaL version: 2.1.3
% 8.61/1.63 % (1693689)Termination reason: Instruction limit
% 8.61/1.63 % (1693689)Termination phase: Saturation
% 8.61/1.63 % (1693689)Time elapsed: 0.060 s
% 8.61/1.63 % (1693689)Peak memory usage: 12 MB
% 8.61/1.63 % (1693689)Instructions burned: 162 (million)
% 8.61/1.63 % (1693698)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=960750967:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 8.61/1.63 % (1693701)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=239059159:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 8.61/1.63 % (1693695)Instruction limit reached!
% 8.61/1.63 % (1693695)------------------------------
% 8.61/1.63 % (1693695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/1.63 % (1693695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.63 % (1693695)CaDiCaL version: 2.1.3
% 8.61/1.63 % (1693695)Termination reason: Instruction limit
% 8.61/1.63 % (1693695)Termination phase: Saturation
% 8.61/1.63 % (1693695)Time elapsed: 0.038 s
% 8.61/1.63 % (1693695)Peak memory usage: 12 MB
% 8.61/1.63 % (1693695)Instructions burned: 89 (million)
% 8.61/1.63 % (1693697)Instruction limit reached!
% 8.61/1.63 % (1693697)------------------------------
% 8.61/1.63 % (1693697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/1.63 % (1693697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (1693697)CaDiCaL version: 2.1.3
% 9.22/1.72 % (1693697)Termination reason: Instruction limit
% 9.22/1.72 % (1693697)Termination phase: Saturation
% 9.22/1.72 % (1693697)Time elapsed: 0.047 s
% 9.22/1.72 % (1693697)Peak memory usage: 13 MB
% 9.22/1.72 % (1693697)Instructions burned: 94 (million)
% 9.22/1.72 % (1693704)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2808271019:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 9.22/1.72 % (1693705)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.22/1.72 % (1693705)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=3301754225:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 9.22/1.72 % (1693705)Refutation not found, incomplete strategy
% 9.22/1.72 % (1693705)------------------------------
% 9.22/1.72 % (1693705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (1693705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (1693705)CaDiCaL version: 2.1.3
% 9.22/1.72 % (1693705)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.72 % (1693705)Time elapsed: 0.001 s
% 9.22/1.72 % (1693705)Peak memory usage: 11 MB
% 9.22/1.72 % (1693705)Instructions burned: 1 (million)
% 9.22/1.72 % (1693705)------------------------------
% 9.22/1.72 % (1693705)------------------------------
% 9.22/1.72 % (1693708)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=749420580:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 9.22/1.72 % (1693701)Instruction limit reached!
% 9.22/1.72 % (1693701)------------------------------
% 9.22/1.72 % (1693701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (1693701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (1693701)CaDiCaL version: 2.1.3
% 9.22/1.72 % (1693701)Termination reason: Instruction limit
% 9.22/1.72 % (1693701)Termination phase: Saturation
% 9.22/1.72 % (1693701)Time elapsed: 0.096 s
% 9.22/1.72 % (1693701)Peak memory usage: 13 MB
% 9.22/1.72 % (1693701)Instructions burned: 241 (million)
% 9.22/1.72 % (1693710)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2763733202:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 9.22/1.72 % (1693710)Refutation not found, incomplete strategy
% 9.22/1.72 % (1693710)------------------------------
% 9.22/1.72 % (1693710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (1693710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (1693710)CaDiCaL version: 2.1.3
% 9.22/1.72 % (1693710)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.72 % (1693710)Time elapsed: 0.0000 s
% 9.22/1.72 % (1693710)Peak memory usage: 12 MB
% 9.22/1.72 % (1693710)Instructions burned: 1 (million)
% 9.22/1.72 % (1693710)------------------------------
% 9.22/1.72 % (1693710)------------------------------
% 9.22/1.72 % (1693712)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3600490566:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 9.22/1.72 % (1693712)Instruction limit reached!
% 9.22/1.72 % (1693712)------------------------------
% 9.22/1.72 % (1693712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.72 % (1693712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.72 % (1693712)CaDiCaL version: 2.1.3
% 9.22/1.72 % (1693712)Termination reason: Instruction limit
% 9.22/1.72 % (1693712)Termination phase: Saturation
% 9.22/1.72 % (1693712)Time elapsed: 0.059 s
% 9.22/1.72 % (1693712)Peak memory usage: 12 MB
% 9.22/1.72 % (1693712)Instructions burned: 255 (million)
% 9.22/1.72 % (1693714)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=3029727182:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2988 on theBenchmark for (2988ds/2470Mi)
% 9.22/1.72 % (1693708)Instruction limit reached!
% 9.22/1.72 % (1693708)------------------------------
% 9.75/1.84 % (1693708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.84 % (1693708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.84 % (1693708)CaDiCaL version: 2.1.3
% 9.75/1.84 % (1693708)Termination reason: Instruction limit
% 9.75/1.84 % (1693708)Termination phase: Saturation
% 9.75/1.84 % (1693708)Time elapsed: 0.154 s
% 9.75/1.84 % (1693708)Peak memory usage: 12 MB
% 9.75/1.84 % (1693708)Instructions burned: 356 (million)
% 9.75/1.84 % (1693716)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=343695890:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 9.75/1.84 % (1693673)Instruction limit reached!
% 9.75/1.84 % (1693673)------------------------------
% 9.75/1.84 % (1693673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.84 % (1693673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.84 % (1693673)CaDiCaL version: 2.1.3
% 9.75/1.84 % (1693673)Termination reason: Instruction limit
% 9.75/1.84 % (1693673)Termination phase: Saturation
% 9.75/1.84 % (1693673)Time elapsed: 0.448 s
% 9.75/1.84 % (1693673)Peak memory usage: 15 MB
% 9.75/1.84 % (1693673)Instructions burned: 865 (million)
% 9.75/1.84 % (1693718)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2633069167:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 9.75/1.84 % (1693704)Instruction limit reached!
% 9.75/1.84 % (1693704)------------------------------
% 9.75/1.84 % (1693704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.84 % (1693704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.84 % (1693704)CaDiCaL version: 2.1.3
% 9.75/1.84 % (1693704)Termination reason: Instruction limit
% 9.75/1.84 % (1693704)Termination phase: Saturation
% 9.75/1.84 % (1693704)Time elapsed: 0.314 s
% 9.75/1.84 % (1693704)Peak memory usage: 13 MB
% 9.75/1.84 % (1693704)Instructions burned: 806 (million)
% 9.75/1.84 % (1693718)Instruction limit reached!
% 9.75/1.84 % (1693718)------------------------------
% 9.75/1.84 % (1693718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.84 % (1693718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.84 % (1693718)CaDiCaL version: 2.1.3
% 9.75/1.84 % (1693718)Termination reason: Instruction limit
% 9.75/1.84 % (1693718)Termination phase: Saturation
% 9.75/1.84 % (1693718)Time elapsed: 0.049 s
% 9.75/1.84 % (1693718)Peak memory usage: 12 MB
% 9.75/1.84 % (1693718)Instructions burned: 118 (million)
% 9.75/1.84 % (1693720)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=665091818:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 9.75/1.84 % (1693721)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=4178134163: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_2986 on theBenchmark for (2986ds/30Mi)
% 9.75/1.84 % (1693721)Instruction limit reached!
% 9.75/1.84 % (1693721)------------------------------
% 9.75/1.84 % (1693721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.84 % (1693721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.84 % (1693721)CaDiCaL version: 2.1.3
% 9.75/1.84 % (1693721)Termination reason: Instruction limit
% 9.75/1.84 % (1693721)Termination phase: Saturation
% 9.75/1.84 % (1693721)Time elapsed: 0.015 s
% 9.75/1.84 % (1693721)Peak memory usage: 12 MB
% 9.75/1.84 % (1693721)Instructions burned: 32 (million)
% 9.75/1.84 % (1693724)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.75/1.84 % (1693724)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2311826499:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2986 on theBenchmark for (2986ds/39Mi)
% 9.75/1.84 % (1693654)Instruction limit reached!
% 9.75/1.84 % (1693654)------------------------------
% 9.75/1.84 % (1693654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.84 % (1693654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.84 % (1693654)CaDiCaL version: 2.1.3
% 9.88/2.01 % (1693654)Termination reason: Instruction limit
% 9.88/2.01 % (1693654)Termination phase: Saturation
% 9.88/2.01 % (1693654)Time elapsed: 0.672 s
% 9.88/2.01 % (1693654)Peak memory usage: 13 MB
% 9.88/2.01 % (1693654)Instructions burned: 1440 (million)
% 9.88/2.01 % (1693724)Instruction limit reached!
% 9.88/2.01 % (1693724)------------------------------
% 9.88/2.01 % (1693724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/2.01 % (1693724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.01 % (1693724)CaDiCaL version: 2.1.3
% 9.88/2.01 % (1693724)Termination reason: Instruction limit
% 9.88/2.01 % (1693724)Termination phase: Saturation
% 9.88/2.01 % (1693724)Time elapsed: 0.021 s
% 9.88/2.01 % (1693724)Peak memory usage: 12 MB
% 9.88/2.01 % (1693724)Instructions burned: 41 (million)
% 9.88/2.01 % (1693727)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1782942030:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 9.88/2.01 % (1693726)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2970884347:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 9.88/2.01 % (1693716)Instruction limit reached!
% 9.88/2.01 % (1693716)------------------------------
% 9.88/2.01 % (1693716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/2.01 % (1693716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.01 % (1693716)CaDiCaL version: 2.1.3
% 9.88/2.01 % (1693716)Termination reason: Instruction limit
% 9.88/2.01 % (1693716)Termination phase: Saturation
% 9.88/2.01 % (1693716)Time elapsed: 0.240 s
% 9.88/2.01 % (1693716)Peak memory usage: 12 MB
% 9.88/2.01 % (1693716)Instructions burned: 675 (million)
% 9.88/2.01 % (1693720)Instruction limit reached!
% 9.88/2.01 % (1693720)------------------------------
% 9.88/2.01 % (1693720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/2.01 % (1693720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.01 % (1693720)CaDiCaL version: 2.1.3
% 9.88/2.01 % (1693720)Termination reason: Instruction limit
% 9.88/2.01 % (1693720)Termination phase: Saturation
% 9.88/2.01 % (1693720)Time elapsed: 0.118 s
% 9.88/2.01 % (1693720)Peak memory usage: 12 MB
% 9.88/2.01 % (1693720)Instructions burned: 271 (million)
% 9.88/2.01 % (1693730)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
% 9.88/2.01 % (1693730)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=4224388269:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 9.88/2.01 % (1693731)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1557556513:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 9.88/2.01 % (1693731)Refutation not found, incomplete strategy
% 9.88/2.01 % (1693731)------------------------------
% 9.88/2.01 % (1693731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/2.01 % (1693731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.01 % (1693731)CaDiCaL version: 2.1.3
% 9.88/2.01 % (1693731)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.01 % (1693731)Time elapsed: 0.001 s
% 9.88/2.01 % (1693731)Peak memory usage: 11 MB
% 9.88/2.01 % (1693731)Instructions burned: 1 (million)
% 9.88/2.01 % (1693731)------------------------------
% 9.88/2.01 % (1693731)------------------------------
% 9.88/2.01 % (1693734)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=634304066:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 9.88/2.01 % (1693734)Refutation not found, incomplete strategy
% 9.88/2.01 % (1693734)------------------------------
% 9.88/2.01 % (1693734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/2.01 % (1693734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.01 % (1693734)CaDiCaL version: 2.1.3
% 9.88/2.01 % (1693734)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.01 % (1693734)Time elapsed: 0.001 s
% 9.88/2.01 % (1693734)Peak memory usage: 11 MB
% 9.88/2.01 % (1693734)Instructions burned: 1 (million)
% 9.88/2.01 % (1693734)------------------------------
% 9.88/2.01 % (1693734)------------------------------
% 12.44/2.06 % (1693727)Instruction limit reached!
% 12.44/2.06 % (1693727)------------------------------
% 12.44/2.06 % (1693727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.06 % (1693727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.06 % (1693727)CaDiCaL version: 2.1.3
% 12.44/2.06 % (1693727)Termination reason: Instruction limit
% 12.44/2.06 % (1693727)Termination phase: Saturation
% 12.44/2.06 % (1693727)Time elapsed: 0.073 s
% 12.44/2.06 % (1693727)Peak memory usage: 12 MB
% 12.44/2.06 % (1693727)Instructions burned: 159 (million)
% 12.44/2.06 % (1693737)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.44/2.06 % (1693736)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1760810273:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/763Mi)
% 12.44/2.06 % (1693737)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=4031317743:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2985 on theBenchmark for (2985ds/237Mi)
% 12.44/2.06 % (1693737)Refutation not found, incomplete strategy
% 12.44/2.06 % (1693737)------------------------------
% 12.44/2.06 % (1693737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.06 % (1693737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.06 % (1693737)CaDiCaL version: 2.1.3
% 12.44/2.06 % (1693737)Termination reason: Refutation not found, incomplete strategy
% 12.44/2.06 % (1693737)Time elapsed: 0.001 s
% 12.44/2.06 % (1693737)Peak memory usage: 11 MB
% 12.44/2.06 % (1693737)------------------------------
% 12.44/2.06 % (1693737)------------------------------
% 12.44/2.06 % (1693740)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3715296866:s2a=on:i=386:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/386Mi)
% 12.44/2.06 % (1693726)Instruction limit reached!
% 12.44/2.06 % (1693726)------------------------------
% 12.44/2.06 % (1693726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.06 % (1693726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.06 % (1693726)CaDiCaL version: 2.1.3
% 12.44/2.06 % (1693726)Termination reason: Instruction limit
% 12.44/2.06 % (1693726)Termination phase: Saturation
% 12.44/2.06 % (1693726)Time elapsed: 0.145 s
% 12.44/2.06 % (1693726)Peak memory usage: 13 MB
% 12.44/2.06 % (1693726)Instructions burned: 368 (million)
% 12.44/2.06 % (1693730)Instruction limit reached!
% 12.44/2.06 % (1693730)------------------------------
% 12.44/2.06 % (1693730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.06 % (1693730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.06 % (1693730)CaDiCaL version: 2.1.3
% 12.44/2.06 % (1693730)Termination reason: Instruction limit
% 12.44/2.06 % (1693730)Termination phase: Saturation
% 12.44/2.06 % (1693730)Time elapsed: 0.099 s
% 12.44/2.06 % (1693730)Peak memory usage: 12 MB
% 12.44/2.06 % (1693730)Instructions burned: 252 (million)
% 12.44/2.06 % (1693742)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=644006140:i=300:piset=and:nm=32:rtra=on_2984 on theBenchmark for (2984ds/300Mi)
% 12.44/2.06 % (1693743)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=281196282:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/567Mi)
% 12.44/2.06 % (1693743)Refutation not found, incomplete strategy
% 12.44/2.06 % (1693743)------------------------------
% 12.44/2.06 % (1693743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.06 % (1693743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.06 % (1693743)CaDiCaL version: 2.1.3
% 12.44/2.06 % (1693743)Termination reason: Refutation not found, incomplete strategy
% 12.44/2.06 % (1693743)Time elapsed: 0.001 s
% 12.44/2.06 % (1693743)Peak memory usage: 11 MB
% 12.44/2.06 % (1693743)Instructions burned: 1 (million)
% 12.44/2.06 % (1693743)------------------------------
% 12.44/2.06 % (1693743)------------------------------
% 12.44/2.06 % (1693746)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=276011216:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 12.44/2.06 % (1693746)Refutation not found, incomplete strategy
% 12.44/2.06 % (1693746)------------------------------
% 12.44/2.11 % (1693746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.11 % (1693746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.11 % (1693746)CaDiCaL version: 2.1.3
% 12.44/2.11 % (1693746)Termination reason: Refutation not found, incomplete strategy
% 12.44/2.11 % (1693746)Time elapsed: 0.001 s
% 12.44/2.11 % (1693746)Peak memory usage: 11 MB
% 12.44/2.11 % (1693746)Instructions burned: 1 (million)
% 12.44/2.11 % (1693746)------------------------------
% 12.44/2.11 % (1693746)------------------------------
% 12.44/2.11 % (1693748)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3471158902:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.44/2.11 % (1693740)Instruction limit reached!
% 12.44/2.11 % (1693740)------------------------------
% 12.44/2.11 % (1693740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.11 % (1693740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.11 % (1693740)CaDiCaL version: 2.1.3
% 12.44/2.11 % (1693740)Termination reason: Instruction limit
% 12.44/2.11 % (1693740)Termination phase: Saturation
% 12.44/2.11 % (1693740)Time elapsed: 0.173 s
% 12.44/2.11 % (1693740)Peak memory usage: 12 MB
% 12.44/2.11 % (1693740)Instructions burned: 388 (million)
% 12.44/2.11 % (1693742)Instruction limit reached!
% 12.44/2.11 % (1693742)------------------------------
% 12.44/2.11 % (1693742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.11 % (1693742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.11 % (1693742)CaDiCaL version: 2.1.3
% 12.44/2.11 % (1693742)Termination reason: Instruction limit
% 12.44/2.11 % (1693742)Termination phase: Saturation
% 12.44/2.11 % (1693742)Time elapsed: 0.132 s
% 12.44/2.11 % (1693742)Peak memory usage: 12 MB
% 12.44/2.11 % (1693742)Instructions burned: 300 (million)
% 12.44/2.11 % (1693750)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=4225887727:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 12.44/2.11 % (1693750)Refutation not found, incomplete strategy
% 12.44/2.11 % (1693750)------------------------------
% 12.44/2.11 % (1693750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.11 % (1693750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.11 % (1693750)CaDiCaL version: 2.1.3
% 12.44/2.11 % (1693750)Termination reason: Refutation not found, incomplete strategy
% 12.44/2.11 % (1693750)Time elapsed: 0.002 s
% 12.44/2.11 % (1693750)Peak memory usage: 12 MB
% 12.44/2.11 % (1693750)Instructions burned: 2 (million)
% 12.44/2.11 % (1693750)------------------------------
% 12.44/2.11 % (1693750)------------------------------
% 12.44/2.11 % (1693751)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1175394755:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2982 on theBenchmark for (2982ds/445Mi)
% 12.44/2.11 % (1693753)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2048697885:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 12.44/2.11 % (1693736)Instruction limit reached!
% 12.44/2.11 % (1693736)------------------------------
% 12.44/2.11 % (1693736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.11 % (1693736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.11 % (1693736)CaDiCaL version: 2.1.3
% 12.44/2.11 % (1693736)Termination reason: Instruction limit
% 12.44/2.11 % (1693736)Termination phase: Saturation
% 12.44/2.11 % (1693736)Time elapsed: 0.273 s
% 12.44/2.11 % (1693736)Peak memory usage: 14 MB
% 12.44/2.11 % (1693736)Instructions burned: 766 (million)
% 12.44/2.11 % (1693714)Instruction limit reached!
% 12.44/2.11 % (1693714)------------------------------
% 12.44/2.11 % (1693714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.11 % (1693714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.11 % (1693714)CaDiCaL version: 2.1.3
% 12.44/2.11 % (1693714)Termination reason: Instruction limit
% 12.44/2.11 % (1693714)Termination phase: Saturation
% 12.44/2.11 % (1693714)Time elapsed: 0.627 s
% 12.44/2.11 % (1693714)Peak memory usage: 17 MB
% 12.44/2.11 % (1693714)Instructions burned: 2470 (million)
% 12.44/2.11 % (1693753)Instruction limit reached!
% 12.44/2.11 % (1693753)------------------------------
% 12.44/2.11 % (1693753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.21 % (1693753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.21 % (1693753)CaDiCaL version: 2.1.3
% 13.28/2.21 % (1693753)Termination reason: Instruction limit
% 13.28/2.21 % (1693753)Termination phase: Saturation
% 13.28/2.21 % (1693753)Time elapsed: 0.041 s
% 13.28/2.21 % (1693753)Peak memory usage: 12 MB
% 13.28/2.21 % (1693753)Instructions burned: 79 (million)
% 13.28/2.21 % (1693757)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1642945589:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.28/2.21 % (1693757)Refutation not found, incomplete strategy
% 13.28/2.21 % (1693757)------------------------------
% 13.28/2.21 % (1693757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.21 % (1693757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.21 % (1693757)CaDiCaL version: 2.1.3
% 13.28/2.21 % (1693757)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.21 % (1693757)Time elapsed: 0.0000 s
% 13.28/2.21 % (1693757)Peak memory usage: 12 MB
% 13.28/2.21 % (1693757)------------------------------
% 13.28/2.21 % (1693757)------------------------------
% 13.28/2.21 % (1693758)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.28/2.21 % (1693758)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.28/2.21 % (1693756)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1536402988:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 13.28/2.21 % (1693756)Refutation not found, incomplete strategy
% 13.28/2.21 % (1693756)------------------------------
% 13.28/2.21 % (1693756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.21 % (1693756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.21 % (1693756)CaDiCaL version: 2.1.3
% 13.28/2.21 % (1693756)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.21 % (1693756)Time elapsed: 0.001 s
% 13.28/2.21 % (1693756)Peak memory usage: 11 MB
% 13.28/2.21 % (1693756)Instructions burned: 1 (million)
% 13.28/2.21 % (1693756)------------------------------
% 13.28/2.21 % (1693756)------------------------------
% 13.28/2.21 % (1693758)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2239344114:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.28/2.21 % (1693760)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=3870520706:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.28/2.21 % (1693748)Instruction limit reached!
% 13.28/2.21 % (1693748)------------------------------
% 13.28/2.21 % (1693748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.21 % (1693748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.21 % (1693748)CaDiCaL version: 2.1.3
% 13.28/2.21 % (1693748)Termination reason: Instruction limit
% 13.28/2.21 % (1693748)Termination phase: Saturation
% 13.28/2.21 % (1693748)Time elapsed: 0.198 s
% 13.28/2.21 % (1693748)Peak memory usage: 12 MB
% 13.28/2.21 % (1693748)Instructions burned: 430 (million)
% 13.28/2.21 % (1693763)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=492588811:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 13.28/2.21 % (1693763)Refutation not found, incomplete strategy
% 13.28/2.21 % (1693763)------------------------------
% 13.28/2.21 % (1693763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.21 % (1693763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.21 % (1693763)CaDiCaL version: 2.1.3
% 13.28/2.21 % (1693763)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.21 % (1693763)Time elapsed: 0.001 s
% 13.28/2.21 % (1693763)Peak memory usage: 12 MB
% 13.28/2.21 % (1693763)Instructions burned: 2 (million)
% 13.28/2.21 % (1693763)------------------------------
% 13.28/2.21 % (1693763)------------------------------
% 13.28/2.21 % (1693760)Instruction limit reached!
% 13.28/2.21 % (1693760)------------------------------
% 13.28/2.21 % (1693760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.25 % (1693760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.25 % (1693760)CaDiCaL version: 2.1.3
% 13.28/2.25 % (1693760)Termination reason: Instruction limit
% 13.28/2.25 % (1693760)Termination phase: Saturation
% 13.28/2.25 % (1693760)Time elapsed: 0.021 s
% 13.28/2.25 % (1693760)Peak memory usage: 12 MB
% 13.28/2.25 % (1693760)Instructions burned: 76 (million)
% 13.28/2.25 % (1693768)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.28/2.25 % (1693768)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=1203078246:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 13.28/2.25 % (1693768)Refutation not found, incomplete strategy
% 13.28/2.25 % (1693768)------------------------------
% 13.28/2.25 % (1693768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.25 % (1693768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.25 % (1693768)CaDiCaL version: 2.1.3
% 13.28/2.25 % (1693768)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.25 % (1693768)Time elapsed: 0.001 s
% 13.28/2.25 % (1693768)Peak memory usage: 12 MB
% 13.28/2.25 % (1693768)Instructions burned: 3 (million)
% 13.28/2.25 % (1693768)------------------------------
% 13.28/2.25 % (1693768)------------------------------
% 13.28/2.25 % (1693765)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=794463055:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2981 on theBenchmark for (2981ds/493Mi)
% 13.28/2.25 % (1693767)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=3298208324:cond=on:i=34:hud=10:nm=10:rtra=on_2981 on theBenchmark for (2981ds/34Mi)
% 13.28/2.25 % (1693758)Instruction limit reached!
% 13.28/2.25 % (1693758)------------------------------
% 13.28/2.25 % (1693758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.25 % (1693758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.25 % (1693758)CaDiCaL version: 2.1.3
% 13.28/2.25 % (1693758)Termination reason: Instruction limit
% 13.28/2.25 % (1693758)Termination phase: Saturation
% 13.28/2.25 % (1693758)Time elapsed: 0.046 s
% 13.28/2.25 % (1693758)Peak memory usage: 12 MB
% 13.28/2.25 % (1693758)Instructions burned: 100 (million)
% 13.28/2.25 % (1693771)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1258281379:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 13.28/2.25 % (1693767)Instruction limit reached!
% 13.28/2.25 % (1693767)------------------------------
% 13.28/2.25 % (1693767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.25 % (1693767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.25 % (1693767)CaDiCaL version: 2.1.3
% 13.28/2.25 % (1693767)Termination reason: Instruction limit
% 13.28/2.25 % (1693767)Termination phase: Saturation
% 13.28/2.25 % (1693767)Time elapsed: 0.018 s
% 13.28/2.25 % (1693767)Peak memory usage: 12 MB
% 13.28/2.25 % (1693767)Instructions burned: 34 (million)
% 13.28/2.25 % (1693773)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2307218279:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/647Mi)
% 13.28/2.25 % (1693773)Refutation not found, incomplete strategy
% 13.28/2.25 % (1693773)------------------------------
% 13.28/2.25 % (1693773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.25 % (1693773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.25 % (1693773)CaDiCaL version: 2.1.3
% 13.28/2.25 % (1693773)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.25 % (1693773)Time elapsed: 0.001 s
% 13.28/2.25 % (1693773)Peak memory usage: 11 MB
% 13.28/2.25 % (1693773)------------------------------
% 13.28/2.25 % (1693773)------------------------------
% 13.28/2.25 % (1693775)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=1212112169:i=857:add=off:kws=frequency:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/857Mi)
% 13.88/2.38 % (1693777)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=2435375411:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2981 on theBenchmark for (2981ds/693Mi)
% 13.88/2.38 % (1693698)Instruction limit reached!
% 13.88/2.38 % (1693698)------------------------------
% 13.88/2.38 % (1693698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.38 % (1693698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.38 % (1693698)CaDiCaL version: 2.1.3
% 13.88/2.38 % (1693698)Termination reason: Instruction limit
% 13.88/2.38 % (1693698)Termination phase: Saturation
% 13.88/2.38 % (1693698)Time elapsed: 0.950 s
% 13.88/2.38 % (1693698)Peak memory usage: 14 MB
% 13.88/2.38 % (1693698)Instructions burned: 2186 (million)
% 13.88/2.38 % (1693780)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2995328506:i=285:hud=10:bd=all:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/285Mi)
% 13.88/2.38 % (1693780)Refutation not found, incomplete strategy
% 13.88/2.38 % (1693780)------------------------------
% 13.88/2.38 % (1693780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.38 % (1693780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.38 % (1693780)CaDiCaL version: 2.1.3
% 13.88/2.38 % (1693780)Termination reason: Refutation not found, incomplete strategy
% 13.88/2.38 % (1693780)Time elapsed: 0.001 s
% 13.88/2.38 % (1693780)Peak memory usage: 11 MB
% 13.88/2.38 % (1693780)Instructions burned: 1 (million)
% 13.88/2.38 % (1693780)------------------------------
% 13.88/2.38 % (1693780)------------------------------
% 13.88/2.38 % (1693782)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 13.88/2.38 % (1693782)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=1292401502:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/52Mi)
% 13.88/2.38 % (1693782)Refutation not found, incomplete strategy
% 13.88/2.38 % (1693782)------------------------------
% 13.88/2.38 % (1693782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.38 % (1693782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.38 % (1693782)CaDiCaL version: 2.1.3
% 13.88/2.38 % (1693782)Termination reason: Refutation not found, incomplete strategy
% 13.88/2.38 % (1693782)Time elapsed: 0.003 s
% 13.88/2.38 % (1693782)Peak memory usage: 12 MB
% 13.88/2.38 % (1693782)Instructions burned: 5 (million)
% 13.88/2.38 % (1693782)------------------------------
% 13.88/2.38 % (1693782)------------------------------
% 13.88/2.38 % (1693751)Instruction limit reached!
% 13.88/2.38 % (1693751)------------------------------
% 13.88/2.38 % (1693751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.38 % (1693751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.38 % (1693751)CaDiCaL version: 2.1.3
% 13.88/2.38 % (1693751)Termination reason: Instruction limit
% 13.88/2.38 % (1693751)Termination phase: Saturation
% 13.88/2.38 % (1693751)Time elapsed: 0.222 s
% 13.88/2.38 % (1693751)Peak memory usage: 14 MB
% 13.88/2.38 % (1693751)Instructions burned: 446 (million)
% 13.88/2.38 % (1693784)dis+10_1_si=on:random_seed=534653119:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2980 on theBenchmark for (2980ds/407Mi)
% 13.88/2.38 % (1693784)Refutation not found, incomplete strategy
% 13.88/2.38 % (1693784)------------------------------
% 13.88/2.38 % (1693784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.38 % (1693784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.38 % (1693784)CaDiCaL version: 2.1.3
% 13.88/2.38 % (1693784)Termination reason: Refutation not found, incomplete strategy
% 13.88/2.38 % (1693784)Time elapsed: 0.001 s
% 13.88/2.38 % (1693784)Peak memory usage: 12 MB
% 13.88/2.38 % (1693784)Instructions burned: 1 (million)
% 13.88/2.38 % (1693784)------------------------------
% 13.88/2.38 % (1693784)------------------------------
% 13.88/2.38 % (1693785)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=1077693723:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/2240Mi)
% 13.88/2.38 % (1693771)Instruction limit reached!
% 13.88/2.38 % (1693771)------------------------------
% 13.88/2.38 % (1693771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.58 % (1693771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.58 % (1693771)CaDiCaL version: 2.1.3
% 14.85/2.58 % (1693771)Termination reason: Instruction limit
% 14.85/2.58 % (1693771)Termination phase: Saturation
% 14.85/2.58 % (1693771)Time elapsed: 0.131 s
% 14.85/2.58 % (1693771)Peak memory usage: 12 MB
% 14.85/2.58 % (1693771)Instructions burned: 676 (million)
% 14.85/2.58 % (1693787)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3630264840:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/336Mi)
% 14.85/2.58 % (1693787)Refutation not found, incomplete strategy
% 14.85/2.58 % (1693787)------------------------------
% 14.85/2.58 % (1693787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.58 % (1693787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.58 % (1693787)CaDiCaL version: 2.1.3
% 14.85/2.58 % (1693787)Termination reason: Refutation not found, incomplete strategy
% 14.85/2.58 % (1693787)Time elapsed: 0.001 s
% 14.85/2.58 % (1693787)Peak memory usage: 11 MB
% 14.85/2.58 % (1693787)------------------------------
% 14.85/2.58 % (1693787)------------------------------
% 14.85/2.58 % (1693789)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3852862631:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2980 on theBenchmark for (2980ds/1142Mi)
% 14.85/2.58 % (1693789)Refutation not found, incomplete strategy
% 14.85/2.58 % (1693789)------------------------------
% 14.85/2.58 % (1693789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.58 % (1693789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.58 % (1693789)CaDiCaL version: 2.1.3
% 14.85/2.58 % (1693789)Termination reason: Refutation not found, incomplete strategy
% 14.85/2.58 % (1693789)Time elapsed: 0.004 s
% 14.85/2.58 % (1693789)Peak memory usage: 13 MB
% 14.85/2.58 % (1693789)Instructions burned: 13 (million)
% 14.85/2.58 % (1693789)------------------------------
% 14.85/2.58 % (1693789)------------------------------
% 14.85/2.58 % (1693793)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3257957736:i=766:bd=all:rtra=on_2980 on theBenchmark for (2980ds/766Mi)
% 14.85/2.58 % (1693793)Refutation not found, incomplete strategy
% 14.85/2.58 % (1693793)------------------------------
% 14.85/2.58 % (1693793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.58 % (1693793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.58 % (1693793)CaDiCaL version: 2.1.3
% 14.85/2.58 % (1693793)Termination reason: Refutation not found, incomplete strategy
% 14.85/2.58 % (1693793)Time elapsed: 0.001 s
% 14.85/2.58 % (1693793)Peak memory usage: 12 MB
% 14.85/2.58 % (1693793)Instructions burned: 2 (million)
% 14.85/2.58 % (1693791)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3371762088:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/376Mi)
% 14.85/2.58 % (1693793)------------------------------
% 14.85/2.58 % (1693793)------------------------------
% 14.85/2.58 % (1693791)Refutation not found, incomplete strategy
% 14.85/2.58 % (1693791)------------------------------
% 14.85/2.58 % (1693791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.58 % (1693791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.58 % (1693791)CaDiCaL version: 2.1.3
% 14.85/2.58 % (1693791)Termination reason: Refutation not found, incomplete strategy
% 14.85/2.58 % (1693791)Time elapsed: 0.001 s
% 14.85/2.58 % (1693791)Peak memory usage: 11 MB
% 14.85/2.58 % (1693791)Instructions burned: 1 (million)
% 14.85/2.58 % (1693791)------------------------------
% 14.85/2.58 % (1693791)------------------------------
% 14.85/2.58 % (1693796)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 14.85/2.58 % (1693796)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=795097887:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2979 on theBenchmark for (2979ds/959Mi)
% 14.85/2.58 % (1693796)Refutation not found, incomplete strategy
% 14.85/2.58 % (1693796)------------------------------
% 14.85/2.58 % (1693796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.58 % (1693796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/2.69 % (1693796)CaDiCaL version: 2.1.3
% 15.49/2.69 % (1693796)Termination reason: Refutation not found, incomplete strategy
% 15.49/2.69 % (1693796)Time elapsed: 0.0000 s
% 15.49/2.69 % (1693796)Peak memory usage: 11 MB
% 15.49/2.69 % (1693796)------------------------------
% 15.49/2.69 % (1693796)------------------------------
% 15.49/2.69 % (1693797)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=4165290492:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2979 on theBenchmark for (2979ds/6359Mi)
% 15.49/2.69 % (1693799)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2946307055:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2979 on theBenchmark for (2979ds/35Mi)
% 15.49/2.69 % (1693799)Refutation not found, incomplete strategy
% 15.49/2.69 % (1693799)------------------------------
% 15.49/2.69 % (1693799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.49/2.69 % (1693799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/2.69 % (1693799)CaDiCaL version: 2.1.3
% 15.49/2.69 % (1693799)Termination reason: Refutation not found, incomplete strategy
% 15.49/2.69 % (1693799)Time elapsed: 0.001 s
% 15.49/2.69 % (1693799)Peak memory usage: 11 MB
% 15.49/2.69 % (1693799)------------------------------
% 15.49/2.69 % (1693799)------------------------------
% 15.49/2.69 % (1693765)Instruction limit reached!
% 15.49/2.69 % (1693765)------------------------------
% 15.49/2.69 % (1693765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.49/2.69 % (1693765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/2.69 % (1693765)CaDiCaL version: 2.1.3
% 15.49/2.69 % (1693765)Termination reason: Instruction limit
% 15.49/2.69 % (1693765)Termination phase: Saturation
% 15.49/2.69 % (1693765)Time elapsed: 0.212 s
% 15.49/2.69 % (1693765)Peak memory usage: 13 MB
% 15.49/2.69 % (1693765)Instructions burned: 493 (million)
% 15.49/2.69 % (1693802)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2232186358:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/53Mi)
% 15.49/2.69 % (1693803)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2461564989:s2a=on:i=876:s2at=6:nm=2:rtra=on_2979 on theBenchmark for (2979ds/876Mi)
% 15.49/2.69 % (1693802)Instruction limit reached!
% 15.49/2.69 % (1693802)------------------------------
% 15.49/2.69 % (1693802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.49/2.69 % (1693802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/2.69 % (1693802)CaDiCaL version: 2.1.3
% 15.49/2.69 % (1693802)Termination reason: Instruction limit
% 15.49/2.69 % (1693802)Termination phase: Saturation
% 15.49/2.69 % (1693802)Time elapsed: 0.029 s
% 15.49/2.69 % (1693802)Peak memory usage: 12 MB
% 15.49/2.69 % (1693802)Instructions burned: 54 (million)
% 15.49/2.69 % (1693806)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4171669264:i=57:ep=R:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/57Mi)
% 15.49/2.69 % (1693806)Instruction limit reached!
% 15.49/2.69 % (1693806)------------------------------
% 15.49/2.69 % (1693806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.49/2.69 % (1693806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/2.69 % (1693806)CaDiCaL version: 2.1.3
% 15.49/2.69 % (1693806)Termination reason: Instruction limit
% 15.49/2.69 % (1693806)Termination phase: Saturation
% 15.49/2.69 % (1693806)Time elapsed: 0.027 s
% 15.49/2.69 % (1693806)Peak memory usage: 12 MB
% 15.49/2.69 % (1693806)Instructions burned: 59 (million)
% 15.49/2.69 % (1693777)Instruction limit reached!
% 15.49/2.69 % (1693777)------------------------------
% 15.49/2.69 % (1693777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.49/2.69 % (1693777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/2.69 % (1693777)CaDiCaL version: 2.1.3
% 15.49/2.69 % (1693777)Termination reason: Instruction limit
% 15.49/2.69 % (1693777)Termination phase: Saturation
% 15.49/2.69 % (1693777)Time elapsed: 0.259 s
% 15.49/2.69 % (1693777)Peak memory usage: 12 MB
% 15.49/2.69 % (1693777)Instructions burned: 695 (million)
% 15.49/2.69 % (1693808)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.55/2.81 % (1693808)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3147471093:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 16.55/2.81 % (1693808)Refutation not found, incomplete strategy
% 16.55/2.81 % (1693808)------------------------------
% 16.55/2.81 % (1693808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (1693808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (1693808)CaDiCaL version: 2.1.3
% 16.55/2.81 % (1693808)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.81 % (1693808)Time elapsed: 0.001 s
% 16.55/2.81 % (1693808)Peak memory usage: 12 MB
% 16.55/2.81 % (1693808)Instructions burned: 2 (million)
% 16.55/2.81 % (1693808)------------------------------
% 16.55/2.81 % (1693808)------------------------------
% 16.55/2.81 % (1693809)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1178567962:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 16.55/2.81 % (1693809)Refutation not found, incomplete strategy
% 16.55/2.81 % (1693809)------------------------------
% 16.55/2.81 % (1693809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (1693809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (1693809)CaDiCaL version: 2.1.3
% 16.55/2.81 % (1693809)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.81 % (1693809)Time elapsed: 0.001 s
% 16.55/2.81 % (1693809)Peak memory usage: 11 MB
% 16.55/2.81 % (1693809)Instructions burned: 1 (million)
% 16.55/2.81 % (1693809)------------------------------
% 16.55/2.81 % (1693809)------------------------------
% 16.55/2.81 % (1693811)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.55/2.81 % (1693811)ott+1002_16_sil=128000:si=on:random_seed=2437124948:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 16.55/2.81 % (1693813)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=432963297:s2a=on:i=381:rtra=on_2978 on theBenchmark for (2978ds/381Mi)
% 16.55/2.81 % (1693775)Instruction limit reached!
% 16.55/2.81 % (1693775)------------------------------
% 16.55/2.81 % (1693775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (1693775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (1693775)CaDiCaL version: 2.1.3
% 16.55/2.81 % (1693775)Termination reason: Instruction limit
% 16.55/2.81 % (1693775)Termination phase: Saturation
% 16.55/2.81 % (1693775)Time elapsed: 0.311 s
% 16.55/2.81 % (1693775)Peak memory usage: 12 MB
% 16.55/2.81 % (1693775)Instructions burned: 858 (million)
% 16.55/2.81 % (1693816)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2017922718:cond=on:i=324:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/324Mi)
% 16.55/2.81 % (1693811)Instruction limit reached!
% 16.55/2.81 % (1693811)------------------------------
% 16.55/2.81 % (1693811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (1693811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (1693811)CaDiCaL version: 2.1.3
% 16.55/2.81 % (1693811)Termination reason: Instruction limit
% 16.55/2.81 % (1693811)Termination phase: Saturation
% 16.55/2.81 % (1693811)Time elapsed: 0.143 s
% 16.55/2.81 % (1693811)Peak memory usage: 13 MB
% 16.55/2.81 % (1693811)Instructions burned: 411 (million)
% 16.55/2.81 % (1693818)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2565517275:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 16.55/2.81 % (1693818)Refutation not found, incomplete strategy
% 16.55/2.81 % (1693818)------------------------------
% 16.55/2.81 % (1693818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (1693818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (1693818)CaDiCaL version: 2.1.3
% 16.55/2.81 % (1693818)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.81 % (1693818)Time elapsed: 0.001 s
% 16.55/2.81 % (1693818)Peak memory usage: 12 MB
% 16.55/2.81 % (1693818)Instructions burned: 1 (million)
% 16.55/2.81 % (1693818)------------------------------
% 16.55/2.81 % (1693818)------------------------------
% 16.55/2.81 % (1693813)Instruction limit reached!
% 16.55/2.81 % (1693813)------------------------------
% 16.55/2.81 % (1693813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.11 % (1693813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.11 % (1693813)CaDiCaL version: 2.1.3
% 19.82/3.11 % (1693813)Termination reason: Instruction limit
% 19.82/3.11 % (1693813)Termination phase: Saturation
% 19.82/3.11 % (1693813)Time elapsed: 0.165 s
% 19.82/3.11 % (1693813)Peak memory usage: 12 MB
% 19.82/3.11 % (1693813)Instructions burned: 382 (million)
% 19.82/3.11 % (1693816)Instruction limit reached!
% 19.82/3.11 % (1693816)------------------------------
% 19.82/3.11 % (1693816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.11 % (1693816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.11 % (1693816)CaDiCaL version: 2.1.3
% 19.82/3.11 % (1693816)Termination reason: Instruction limit
% 19.82/3.11 % (1693816)Termination phase: Saturation
% 19.82/3.11 % (1693816)Time elapsed: 0.143 s
% 19.82/3.11 % (1693816)Peak memory usage: 12 MB
% 19.82/3.11 % (1693816)Instructions burned: 326 (million)
% 19.82/3.11 % (1693820)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.82/3.11 % (1693820)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2746184137:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 19.82/3.11 % (1693821)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1700124885:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 19.82/3.11 % (1693822)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=576677278:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2976 on theBenchmark for (2976ds/282Mi)
% 19.82/3.11 % (1693820)Instruction limit reached!
% 19.82/3.11 % (1693820)------------------------------
% 19.82/3.11 % (1693820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.11 % (1693820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.11 % (1693820)CaDiCaL version: 2.1.3
% 19.82/3.11 % (1693820)Termination reason: Instruction limit
% 19.82/3.11 % (1693820)Termination phase: Saturation
% 19.82/3.11 % (1693820)Time elapsed: 0.049 s
% 19.82/3.11 % (1693820)Peak memory usage: 12 MB
% 19.82/3.11 % (1693820)Instructions burned: 126 (million)
% 19.82/3.11 % (1693826)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3656448315:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/464Mi)
% 19.82/3.11 % (1693826)Refutation not found, incomplete strategy
% 19.82/3.11 % (1693826)------------------------------
% 19.82/3.11 % (1693826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.11 % (1693826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.11 % (1693826)CaDiCaL version: 2.1.3
% 19.82/3.11 % (1693826)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.11 % (1693826)Time elapsed: 0.001 s
% 19.82/3.11 % (1693826)Peak memory usage: 11 MB
% 19.82/3.11 % (1693826)Instructions burned: 1 (million)
% 19.82/3.11 % (1693826)------------------------------
% 19.82/3.11 % (1693826)------------------------------
% 19.82/3.11 % (1693828)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=958017677:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 19.82/3.11 % (1693821)Instruction limit reached!
% 19.82/3.11 % (1693821)------------------------------
% 19.82/3.11 % (1693821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.11 % (1693821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.11 % (1693821)CaDiCaL version: 2.1.3
% 19.82/3.11 % (1693821)Termination reason: Instruction limit
% 19.82/3.11 % (1693821)Termination phase: Saturation
% 19.82/3.11 % (1693821)Time elapsed: 0.082 s
% 19.82/3.11 % (1693821)Peak memory usage: 13 MB
% 19.82/3.11 % (1693821)Instructions burned: 225 (million)
% 19.82/3.11 % (1693803)Instruction limit reached!
% 19.82/3.11 % (1693803)------------------------------
% 19.82/3.11 % (1693803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.11 % (1693803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.11 % (1693803)CaDiCaL version: 2.1.3
% 19.82/3.11 % (1693803)Termination reason: Instruction limit
% 19.82/3.11 % (1693803)Termination phase: Saturation
% 19.82/3.11 % (1693803)Time elapsed: 0.387 s
% 19.82/3.11 % (1693803)Peak memory usage: 13 MB
% 20.73/3.24 % (1693803)Instructions burned: 876 (million)
% 20.73/3.24 % (1693830)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1925571330:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 20.73/3.24 % (1693831)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 20.73/3.24 % (1693831)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1126912832:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 20.73/3.24 % (1693828)Instruction limit reached!
% 20.73/3.24 % (1693828)------------------------------
% 20.73/3.24 % (1693828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.24 % (1693828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.24 % (1693828)CaDiCaL version: 2.1.3
% 20.73/3.24 % (1693828)Termination reason: Instruction limit
% 20.73/3.24 % (1693828)Termination phase: Saturation
% 20.73/3.24 % (1693828)Time elapsed: 0.041 s
% 20.73/3.24 % (1693828)Peak memory usage: 13 MB
% 20.73/3.24 % (1693828)Instructions burned: 89 (million)
% 20.73/3.24 % (1693834)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.73/3.24 % (1693834)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.73/3.24 % (1693834)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=3702728367:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2975 on theBenchmark for (2975ds/483Mi)
% 20.73/3.24 % (1693822)Instruction limit reached!
% 20.73/3.24 % (1693822)------------------------------
% 20.73/3.24 % (1693822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.24 % (1693822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.24 % (1693822)CaDiCaL version: 2.1.3
% 20.73/3.24 % (1693822)Termination reason: Instruction limit
% 20.73/3.24 % (1693822)Termination phase: Saturation
% 20.73/3.24 % (1693822)Time elapsed: 0.142 s
% 20.73/3.24 % (1693822)Peak memory usage: 13 MB
% 20.73/3.24 % (1693822)Instructions burned: 283 (million)
% 20.73/3.24 % (1693834)Refutation not found, incomplete strategy
% 20.73/3.24 % (1693834)------------------------------
% 20.73/3.24 % (1693834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.24 % (1693834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.24 % (1693834)CaDiCaL version: 2.1.3
% 20.73/3.24 % (1693834)Termination reason: Refutation not found, incomplete strategy
% 20.73/3.24 % (1693834)Time elapsed: 0.001 s
% 20.73/3.24 % (1693834)Peak memory usage: 12 MB
% 20.73/3.24 % (1693834)------------------------------
% 20.73/3.24 % (1693834)------------------------------
% 20.73/3.24 % (1693836)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3446006676:i=73:rtra=on_2974 on theBenchmark for (2974ds/73Mi)
% 20.73/3.24 % (1693837)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=856414448:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2974 on theBenchmark for (2974ds/176Mi)
% 20.73/3.24 % (1693836)Refutation not found, incomplete strategy
% 20.73/3.24 % (1693836)------------------------------
% 20.73/3.24 % (1693836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.73/3.24 % (1693836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/3.24 % (1693836)CaDiCaL version: 2.1.3
% 20.73/3.24 % (1693836)Termination reason: Refutation not found, incomplete strategy
% 20.73/3.24 % (1693836)Time elapsed: 0.002 s
% 20.73/3.24 % (1693836)Peak memory usage: 12 MB
% 20.73/3.24 % (1693836)Instructions burned: 2 (million)
% 20.73/3.24 % (1693836)------------------------------
% 20.73/3.24 % (1693836)------------------------------
% 20.73/3.24 % (1693840)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.73/3.24 % (1693840)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1564396346:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 20.73/3.24 % (1693840)Instruction limit reached!
% 20.73/3.24 % (1693840)------------------------------
% 22.24/3.51 % (1693840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.51 % (1693840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.51 % (1693840)CaDiCaL version: 2.1.3
% 22.24/3.51 % (1693840)Termination reason: Instruction limit
% 22.24/3.51 % (1693840)Termination phase: Saturation
% 22.24/3.51 % (1693840)Time elapsed: 0.020 s
% 22.24/3.51 % (1693840)Peak memory usage: 12 MB
% 22.24/3.51 % (1693840)Instructions burned: 39 (million)
% 22.24/3.51 % (1693842)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3910440326:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 22.24/3.51 % (1693830)Instruction limit reached!
% 22.24/3.51 % (1693830)------------------------------
% 22.24/3.51 % (1693830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.51 % (1693830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.51 % (1693830)CaDiCaL version: 2.1.3
% 22.24/3.51 % (1693830)Termination reason: Instruction limit
% 22.24/3.51 % (1693830)Termination phase: Saturation
% 22.24/3.51 % (1693830)Time elapsed: 0.139 s
% 22.24/3.51 % (1693830)Peak memory usage: 12 MB
% 22.24/3.51 % (1693830)Instructions burned: 280 (million)
% 22.24/3.51 % (1693837)Instruction limit reached!
% 22.24/3.51 % (1693837)------------------------------
% 22.24/3.51 % (1693837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.51 % (1693837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.51 % (1693837)CaDiCaL version: 2.1.3
% 22.24/3.51 % (1693837)Termination reason: Instruction limit
% 22.24/3.51 % (1693837)Termination phase: Saturation
% 22.24/3.51 % (1693837)Time elapsed: 0.078 s
% 22.24/3.51 % (1693837)Peak memory usage: 12 MB
% 22.24/3.51 % (1693837)Instructions burned: 177 (million)
% 22.24/3.51 % (1693844)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
% 22.24/3.51 % (1693844)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=65019517:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/252Mi)
% 22.24/3.51 % (1693845)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1599357078:i=823:fsr=off:rtra=on_2973 on theBenchmark for (2973ds/823Mi)
% 22.24/3.51 % (1693844)Instruction limit reached!
% 22.24/3.51 % (1693844)------------------------------
% 22.24/3.51 % (1693844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.51 % (1693844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.51 % (1693844)CaDiCaL version: 2.1.3
% 22.24/3.51 % (1693844)Termination reason: Instruction limit
% 22.24/3.51 % (1693844)Termination phase: Saturation
% 22.24/3.51 % (1693844)Time elapsed: 0.098 s
% 22.24/3.51 % (1693844)Peak memory usage: 13 MB
% 22.24/3.51 % (1693844)Instructions burned: 252 (million)
% 22.24/3.51 % (1693848)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 22.24/3.51 % (1693848)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=691822122:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/16202Mi)
% 22.24/3.51 % (1693848)Refutation not found, incomplete strategy
% 22.24/3.51 % (1693848)------------------------------
% 22.24/3.51 % (1693848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.51 % (1693848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.51 % (1693848)CaDiCaL version: 2.1.3
% 22.24/3.51 % (1693848)Termination reason: Refutation not found, incomplete strategy
% 22.24/3.51 % (1693848)Time elapsed: 0.001 s
% 22.24/3.51 % (1693848)Peak memory usage: 11 MB
% 22.24/3.51 % (1693848)Instructions burned: 1 (million)
% 22.24/3.51 % (1693848)------------------------------
% 22.24/3.51 % (1693848)------------------------------
% 22.24/3.51 % (1693850)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2685246432:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/300Mi)
% 22.24/3.51 % (1693842)Instruction limit reached!
% 22.24/3.51 % (1693842)------------------------------
% 22.24/3.51 % (1693842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.58 % (1693842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.58 % (1693842)CaDiCaL version: 2.1.3
% 22.24/3.58 % (1693842)Termination reason: Instruction limit
% 22.24/3.58 % (1693842)Termination phase: Saturation
% 22.24/3.58 % (1693842)Time elapsed: 0.285 s
% 22.24/3.58 % (1693842)Peak memory usage: 14 MB
% 22.24/3.58 % (1693842)Instructions burned: 713 (million)
% 22.24/3.58 % (1693852)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 22.24/3.58 % (1693852)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 22.24/3.58 % (1693852)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=53056186:i=177:add=on:bd=preordered:rtra=on:rawr=on_2971 on theBenchmark for (2971ds/177Mi)
% 22.24/3.58 % (1693850)Instruction limit reached!
% 22.24/3.58 % (1693850)------------------------------
% 22.24/3.58 % (1693850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.58 % (1693850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.58 % (1693850)CaDiCaL version: 2.1.3
% 22.24/3.58 % (1693850)Termination reason: Instruction limit
% 22.24/3.58 % (1693850)Termination phase: Saturation
% 22.24/3.58 % (1693850)Time elapsed: 0.134 s
% 22.24/3.58 % (1693850)Peak memory usage: 12 MB
% 22.24/3.58 % (1693850)Instructions burned: 302 (million)
% 22.24/3.58 % (1693854)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1339048489:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/715Mi)
% 22.24/3.58 % (1693854)Refutation not found, incomplete strategy
% 22.24/3.58 % (1693854)------------------------------
% 22.24/3.58 % (1693854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.58 % (1693854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.58 % (1693854)CaDiCaL version: 2.1.3
% 22.24/3.58 % (1693854)Termination reason: Refutation not found, incomplete strategy
% 22.24/3.58 % (1693854)Time elapsed: 0.001 s
% 22.24/3.58 % (1693854)Peak memory usage: 11 MB
% 22.24/3.58 % (1693854)Instructions burned: 1 (million)
% 22.24/3.58 % (1693854)------------------------------
% 22.24/3.58 % (1693854)------------------------------
% 22.24/3.58 % (1693856)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 22.24/3.58 % (1693856)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 22.24/3.58 % (1693856)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=1012096720:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2970 on theBenchmark for (2970ds/230Mi)
% 22.24/3.58 % (1693856)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 22.24/3.58 % (1693852)Instruction limit reached!
% 22.24/3.58 % (1693852)------------------------------
% 22.24/3.58 % (1693852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.58 % (1693852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.58 % (1693852)CaDiCaL version: 2.1.3
% 22.24/3.58 % (1693852)Termination reason: Instruction limit
% 22.24/3.58 % (1693852)Termination phase: Saturation
% 22.24/3.58 % (1693852)Time elapsed: 0.083 s
% 22.24/3.58 % (1693852)Peak memory usage: 13 MB
% 22.24/3.58 % (1693852)Instructions burned: 179 (million)
% 22.24/3.58 % (1693845)Instruction limit reached!
% 22.24/3.58 % (1693845)------------------------------
% 22.24/3.58 % (1693845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.58 % (1693845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.58 % (1693845)CaDiCaL version: 2.1.3
% 22.24/3.58 % (1693845)Termination reason: Instruction limit
% 22.24/3.58 % (1693845)Termination phase: Saturation
% 22.24/3.58 % (1693845)Time elapsed: 0.361 s
% 22.24/3.58 % (1693845)Peak memory usage: 14 MB
% 22.24/3.58 % (1693845)Instructions burned: 825 (million)
% 22.24/3.58 % (1693858)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1547107754:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2970 on theBenchmark for (2970ds/606Mi)
% 22.24/3.58 % (1693859)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 23.95/3.73 % (1693859)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1057477875:lrd=on:i=841:nm=0:rtra=on_2970 on theBenchmark for (2970ds/841Mi)
% 23.95/3.73 % (1693856)Instruction limit reached!
% 23.95/3.73 % (1693856)------------------------------
% 23.95/3.73 % (1693856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.73 % (1693856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.73 % (1693856)CaDiCaL version: 2.1.3
% 23.95/3.73 % (1693856)Termination reason: Instruction limit
% 23.95/3.73 % (1693856)Termination phase: Saturation
% 23.95/3.73 % (1693856)Time elapsed: 0.106 s
% 23.95/3.73 % (1693856)Peak memory usage: 12 MB
% 23.95/3.73 % (1693856)Instructions burned: 231 (million)
% 23.95/3.73 % (1693862)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3155491182:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2969 on theBenchmark for (2969ds/445Mi)
% 23.95/3.73 % (1693785)Instruction limit reached!
% 23.95/3.73 % (1693785)------------------------------
% 23.95/3.73 % (1693785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.73 % (1693785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.73 % (1693785)CaDiCaL version: 2.1.3
% 23.95/3.73 % (1693785)Termination reason: Instruction limit
% 23.95/3.73 % (1693785)Termination phase: Saturation
% 23.95/3.73 % (1693785)Time elapsed: 1.167 s
% 23.95/3.73 % (1693785)Peak memory usage: 17 MB
% 23.95/3.73 % (1693785)Instructions burned: 2241 (million)
% 23.95/3.73 % (1693864)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2432090923:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2968 on theBenchmark for (2968ds/71Mi)
% 23.95/3.73 % (1693864)Instruction limit reached!
% 23.95/3.73 % (1693864)------------------------------
% 23.95/3.73 % (1693864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.73 % (1693864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.73 % (1693864)CaDiCaL version: 2.1.3
% 23.95/3.73 % (1693864)Termination reason: Instruction limit
% 23.95/3.73 % (1693864)Termination phase: Saturation
% 23.95/3.73 % (1693864)Time elapsed: 0.038 s
% 23.95/3.73 % (1693864)Peak memory usage: 12 MB
% 23.95/3.73 % (1693864)Instructions burned: 72 (million)
% 23.95/3.73 % (1693866)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
% 23.95/3.73 % (1693866)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 23.95/3.73 % (1693866)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=85274125:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2968 on theBenchmark for (2968ds/100Mi)
% 23.95/3.73 % (1693866)Instruction limit reached!
% 23.95/3.73 % (1693866)------------------------------
% 23.95/3.73 % (1693866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.73 % (1693866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.73 % (1693866)CaDiCaL version: 2.1.3
% 23.95/3.73 % (1693866)Termination reason: Instruction limit
% 23.95/3.73 % (1693866)Termination phase: Saturation
% 23.95/3.73 % (1693866)Time elapsed: 0.046 s
% 23.95/3.73 % (1693866)Peak memory usage: 12 MB
% 23.95/3.73 % (1693866)Instructions burned: 101 (million)
% 23.95/3.73 % (1693858)Instruction limit reached!
% 23.95/3.73 % (1693858)------------------------------
% 23.95/3.73 % (1693858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.73 % (1693858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.73 % (1693858)CaDiCaL version: 2.1.3
% 23.95/3.73 % (1693858)Termination reason: Instruction limit
% 23.95/3.73 % (1693858)Termination phase: Saturation
% 23.95/3.73 % (1693858)Time elapsed: 0.274 s
% 23.95/3.73 % (1693858)Peak memory usage: 13 MB
% 23.95/3.73 % (1693858)Instructions burned: 607 (million)
% 23.95/3.73 % (1693868)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 23.95/3.73 % (1693868)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3065308777:i=1352:add=on:aac=none:rtra=on_2967 on theBenchmark for (2967ds/1352Mi)
% 23.95/3.80 % (1693868)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693868)------------------------------
% 23.95/3.80 % (1693868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693868)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693868)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693868)Time elapsed: 0.002 s
% 23.95/3.80 % (1693868)Peak memory usage: 12 MB
% 23.95/3.80 % (1693868)Instructions burned: 3 (million)
% 23.95/3.80 % (1693868)------------------------------
% 23.95/3.80 % (1693868)------------------------------
% 23.95/3.80 % (1693862)Instruction limit reached!
% 23.95/3.80 % (1693862)------------------------------
% 23.95/3.80 % (1693862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693862)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693862)Termination reason: Instruction limit
% 23.95/3.80 % (1693862)Termination phase: Saturation
% 23.95/3.80 % (1693862)Time elapsed: 0.221 s
% 23.95/3.80 % (1693862)Peak memory usage: 14 MB
% 23.95/3.80 % (1693862)Instructions burned: 445 (million)
% 23.95/3.80 % (1693869)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=2772699799:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2967 on theBenchmark for (2967ds/646Mi)
% 23.95/3.80 % (1693871)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=225640521:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/1924Mi)
% 23.95/3.80 % (1693871)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693871)------------------------------
% 23.95/3.80 % (1693871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693871)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693871)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693871)Time elapsed: 0.001 s
% 23.95/3.80 % (1693871)Peak memory usage: 11 MB
% 23.95/3.80 % (1693871)Instructions burned: 1 (million)
% 23.95/3.80 % (1693871)------------------------------
% 23.95/3.80 % (1693871)------------------------------
% 23.95/3.80 % (1693872)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3295102264:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2967 on theBenchmark for (2967ds/984Mi)
% 23.95/3.80 % (1693872)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693872)------------------------------
% 23.95/3.80 % (1693872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693872)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693872)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693872)Time elapsed: 0.001 s
% 23.95/3.80 % (1693872)Peak memory usage: 12 MB
% 23.95/3.80 % (1693872)Instructions burned: 2 (million)
% 23.95/3.80 % (1693872)------------------------------
% 23.95/3.80 % (1693872)------------------------------
% 23.95/3.80 % (1693875)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3926233329:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2967 on theBenchmark for (2967ds/592Mi)
% 23.95/3.80 % (1693877)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=720183014:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2966 on theBenchmark for (2966ds/872Mi)
% 23.95/3.80 % (1693877)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693877)------------------------------
% 23.95/3.80 % (1693877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693877)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693877)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693877)Time elapsed: 0.001 s
% 23.95/3.80 % (1693877)Peak memory usage: 11 MB
% 23.95/3.80 % (1693877)Instructions burned: 1 (million)
% 23.95/3.80 % (1693877)------------------------------
% 23.95/3.80 % (1693877)------------------------------
% 23.95/3.80 % (1693880)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 23.95/3.80 % (1693880)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=3002236988:i=999:add=on:rtra=on_2966 on theBenchmark for (2966ds/999Mi)
% 23.95/3.80 % (1693859)Instruction limit reached!
% 23.95/3.80 % (1693859)------------------------------
% 23.95/3.80 % (1693859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693859)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693859)Termination reason: Instruction limit
% 23.95/3.80 % (1693859)Termination phase: Saturation
% 23.95/3.80 % (1693859)Time elapsed: 0.381 s
% 23.95/3.80 % (1693859)Peak memory usage: 13 MB
% 23.95/3.80 % (1693859)Instructions burned: 842 (million)
% 23.95/3.80 % (1693882)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 23.95/3.80 % (1693882)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=2358457815:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2966 on theBenchmark for (2966ds/244Mi)
% 23.95/3.80 % (1693882)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693882)------------------------------
% 23.95/3.80 % (1693882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693882)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693882)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693882)Time elapsed: 0.002 s
% 23.95/3.80 % (1693882)Peak memory usage: 11 MB
% 23.95/3.80 % (1693882)Instructions burned: 3 (million)
% 23.95/3.80 % (1693882)------------------------------
% 23.95/3.80 % (1693882)------------------------------
% 23.95/3.80 % (1693884)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1730902738:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/113Mi)
% 23.95/3.80 % (1693884)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693884)------------------------------
% 23.95/3.80 % (1693884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693884)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693884)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693884)Time elapsed: 0.002 s
% 23.95/3.80 % (1693884)Peak memory usage: 12 MB
% 23.95/3.80 % (1693884)Instructions burned: 2 (million)
% 23.95/3.80 % (1693884)------------------------------
% 23.95/3.80 % (1693884)------------------------------
% 23.95/3.80 % (1693886)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1288937072:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/7795Mi)
% 23.95/3.80 % (1693886)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693886)------------------------------
% 23.95/3.80 % (1693886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693886)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693886)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693886)Time elapsed: 0.001 s
% 23.95/3.80 % (1693886)Peak memory usage: 11 MB
% 23.95/3.80 % (1693886)------------------------------
% 23.95/3.80 % (1693886)------------------------------
% 23.95/3.80 % (1693888)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1461413426:st=2:i=5026:sd=1:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/5026Mi)
% 23.95/3.80 % (1693888)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693888)------------------------------
% 23.95/3.80 % (1693888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693888)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693888)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693888)Time elapsed: 0.001 s
% 23.95/3.80 % (1693888)Peak memory usage: 11 MB
% 23.95/3.80 % (1693888)------------------------------
% 23.95/3.80 % (1693888)------------------------------
% 23.95/3.80 % (1693890)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.95/3.80 % (1693890)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=463669328:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2965 on theBenchmark for (2965ds/763Mi)
% 23.95/3.80 % (1693890)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693890)------------------------------
% 23.95/3.80 % (1693890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693890)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693890)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693890)Time elapsed: 0.001 s
% 23.95/3.80 % (1693890)Peak memory usage: 11 MB
% 23.95/3.80 % (1693890)Instructions burned: 1 (million)
% 23.95/3.80 % (1693890)------------------------------
% 23.95/3.80 % (1693890)------------------------------
% 23.95/3.80 % (1693892)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1034136232:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2965 on theBenchmark for (2965ds/1144Mi)
% 23.95/3.80 % (1693892)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693892)------------------------------
% 23.95/3.80 % (1693892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693892)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693892)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693892)Time elapsed: 0.001 s
% 23.95/3.80 % (1693892)Peak memory usage: 11 MB
% 23.95/3.80 % (1693892)------------------------------
% 23.95/3.80 % (1693892)------------------------------
% 23.95/3.80 % (1693869)Instruction limit reached!
% 23.95/3.80 % (1693869)------------------------------
% 23.95/3.80 % (1693869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693869)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693869)Termination reason: Instruction limit
% 23.95/3.80 % (1693869)Termination phase: Saturation
% 23.95/3.80 % (1693869)Time elapsed: 0.227 s
% 23.95/3.80 % (1693869)Peak memory usage: 14 MB
% 23.95/3.80 % (1693869)Instructions burned: 647 (million)
% 23.95/3.80 % (1693797) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1693477-1693797"...
% 23.95/3.80 % (1693894)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.95/3.80 % (1693894)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=261346257:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/52Mi)
% 23.95/3.80 % (1693895)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2475385367:i=1724:fsr=off:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/1724Mi)
% 23.95/3.80 % (1693894)Refutation not found, incomplete strategy
% 23.95/3.80 % (1693894)------------------------------
% 23.95/3.80 % (1693894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.95/3.80 % (1693894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/3.80 % (1693894)CaDiCaL version: 2.1.3
% 23.95/3.80 % (1693894)Termination reason: Refutation not found, incomplete strategy
% 23.95/3.80 % (1693894)Time elapsed: 0.004 s
% 23.95/3.80 % (1693894)Peak memory usage: 12 MB
% 23.95/3.80 % (1693894)Instructions burned: 5 (million)
% 23.95/3.80 % (1693894)------------------------------
% 23.95/3.80 % (1693894)------------------------------
% 23.95/3.80 % (1693797)...printing done.
% 23.95/3.80 % (1693797)Refutation found. Thanks to Tanya!
% 23.95/3.80 % SZS status Unsatisfiable for theBenchmark
% 23.95/3.80 % SZS output start Proof for theBenchmark
% See solution above
% 25.16/3.83 % (1693797)------------------------------
% 25.16/3.83 % (1693797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.16/3.83 % (1693797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.16/3.83 % (1693797)CaDiCaL version: 2.1.3
% 25.16/3.83 % (1693797)Termination reason: Refutation
% 25.16/3.83 % (1693797)Time elapsed: 1.533 s
% 25.16/3.83 % (1693797)Peak memory usage: 25 MB
% 25.16/3.83 % (1693797)Instructions burned: 5768 (million)
% 25.16/3.83 % (1693477)Success in time 3.571 s
% 25.16/3.83 % Vampire exiting
%------------------------------------------------------------------------------