%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA097^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:52:24 AM UTC 2026
% Result : Unsatisfiable 10.07s 1.85s
% Output : Refutation 10.07s
% 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_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( surj
= ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X3: $i,X1: $i,X2: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X3: $i,X4: $i,X0: $i,X2: $i,X1: $i] :
( ~ ( b @ X2 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X1 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X2 @ X0 )
| ~ ( b @ X2 @ X4 ) ),
inference(rectify,[],[f6]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f17,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f18,plain,
! [X0: $i,X2: $i,X3: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(flattening,[],[f13]) ).
thf(f19,plain,
! [X2: $i,X1: $i,X3: $i,X0: $i,X4: $i] :
( ( ( b @ X2 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(rectify,[],[f19]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f22,plain,
( ( ( inj @ sK0 )
= $true )
& ( $true
!= ( surj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
thf(f23,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f24,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f25,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X0 @ X4 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f28,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f32,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f29,f23]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f28,f24]) ).
thf(f34,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f35,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f34]) ).
thf(f36,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( ( X2 = X1 )
= $true ) ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f43,plain,
( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f42]) ).
thf(f44,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
inference(extensionality_resolution,[],[f27,f47]) ).
thf(f50,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f27,f41]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f27]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f48]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f72,definition,
( spl2_3
<=> ! [X2: $i] :
( ( r @ sK1 @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f73,plain,
( ! [X2: $i] :
( ( r @ sK1 @ X2 )
!= $true )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f75,definition,
( spl2_4
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f76,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f90,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,[],[f50,f41]) ).
thf(f92,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f50,f47]) ).
thf(f93,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f50,f47]) ).
thf(f99,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f26,f92]) ).
thf(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f108,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f56,f93]) ).
thf(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f26,f93]) ).
thf(f111,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f113,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f108]) ).
thf(f115,definition,
( spl2_5
<=> ! [X2: $i] :
( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f116,plain,
( ! [X2: $i] :
( ( r @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f118,definition,
( spl2_6
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f119,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f120,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f111,f118,f115]) ).
thf(f136,definition,
( spl2_7
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f137,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f139,definition,
( spl2_8
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f140,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f143,definition,
( spl2_9
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f143]) ).
thf(f155,definition,
( spl2_10
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f156,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,definition,
( spl2_11
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f159,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_11 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f162,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) ),
inference(extensionality_resolution,[],[f54,f47]) ).
thf(f165,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X3 @ X0 )
!= $true )
| ( X0 = X2 )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f54,f27]) ).
thf(f166,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(constrained_superposition,[],[f54,f48]) ).
thf(f169,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) ),
inference(constrained_superposition,[],[f54,f92]) ).
thf(f172,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( X0 = X1 )
| ( ( r @ X3 @ X0 )
!= $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f165]) ).
thf(f173,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f174,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f178,definition,
( spl2_12
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f179,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f181,definition,
( spl2_13
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f182,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f181]) ).
thf(f183,plain,
( spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f174,f181,f178]) ).
thf(f201,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
= $true )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f172,f27]) ).
thf(f209,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( X2 = X3 )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f213,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f90,f47]) ).
thf(f229,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X3 )
| ( ( b @ X1 @ X3 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f209,f27]) ).
thf(f231,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X2 )
| ( ( sK0 @ X0 )
= X1 )
| ( $true != $true )
| ( ( b @ sK1 @ X2 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X1 ) ),
inference(constrained_superposition,[],[f209,f49]) ).
thf(f238,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
= $true )
| ( X1 = X3 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f239,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 ) ),
inference(trivial_inequality_removal,[],[f231]) ).
thf(f244,definition,
( spl2_15
<=> ! [X2: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f245,plain,
( ! [X2: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X2 ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f321,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f100,f213]) ).
thf(f325,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f26,f213]) ).
thf(f329,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f321]) ).
thf(f330,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f334,definition,
( spl2_17
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f335,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f334]) ).
thf(f337,definition,
( spl2_18
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f338,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_18 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f344,definition,
( spl2_20
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f345,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f344]) ).
thf(f355,definition,
( spl2_21
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f356,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f355]) ).
thf(f358,definition,
( spl2_22
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f359,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f358]) ).
thf(f365,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f330,f92]) ).
thf(f367,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f330,f213]) ).
thf(f371,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f367]) ).
thf(f372,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f373,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f365]) ).
thf(f376,definition,
( spl2_23
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f377,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f376]) ).
thf(f379,definition,
( spl2_24
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f380,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_24 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f381,plain,
( spl2_23
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f372,f379,f376]) ).
thf(f407,definition,
( spl2_25
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f408,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f407]) ).
thf(f414,definition,
( spl2_27
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f415,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f414]) ).
thf(f427,definition,
( spl2_30
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f428,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f427]) ).
thf(f433,definition,
( spl2_31
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f434,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f433]) ).
thf(f436,definition,
( spl2_32
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f437,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f436]) ).
thf(f438,plain,
( spl2_31
| spl2_20
| spl2_32 ),
inference(avatar_split_clause,[],[f329,f436,f344,f433]) ).
thf(f440,definition,
( spl2_33
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f441,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f440]) ).
thf(f443,definition,
( spl2_34
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f444,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f443]) ).
thf(f445,plain,
( spl2_33
| spl2_5
| spl2_34 ),
inference(avatar_split_clause,[],[f113,f443,f115,f440]) ).
thf(f446,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f162,f72,f75]) ).
thf(f451,definition,
( spl2_36
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f452,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_36 ),
inference(avatar_component_clause,[],[f451]) ).
thf(f455,definition,
( spl2_37
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f456,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_37 ),
inference(avatar_component_clause,[],[f455]) ).
thf(f459,definition,
( spl2_38
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( sK1 = X1 )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f460,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f459]) ).
thf(f462,definition,
( spl2_39
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f463,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f462]) ).
thf(f464,plain,
( spl2_38
| spl2_39 ),
inference(avatar_split_clause,[],[f173,f462,f459]) ).
thf(f466,definition,
( spl2_40
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f467,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_40 ),
inference(avatar_component_clause,[],[f466]) ).
thf(f469,definition,
( spl2_41
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f470,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f469]) ).
thf(f473,definition,
( spl2_42
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f474,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_42 ),
inference(avatar_component_clause,[],[f473]) ).
thf(f480,definition,
( spl2_44
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f481,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f480]) ).
thf(f483,definition,
( spl2_45
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f484,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45 ),
inference(avatar_component_clause,[],[f483]) ).
thf(f485,plain,
( spl2_44
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f373,f483,f480]) ).
thf(f487,definition,
( spl2_46
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f488,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f487]) ).
thf(f490,definition,
( spl2_47
<=> ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f491,plain,
( ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f490]) ).
thf(f492,plain,
( spl2_46
| spl2_47 ),
inference(avatar_split_clause,[],[f239,f490,f487]) ).
thf(f493,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f116,f92]) ).
thf(f495,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f116,f50]) ).
thf(f497,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f495]) ).
thf(f500,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f493]) ).
thf(f501,plain,
( spl2_12
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f500,f115,f178]) ).
thf(f502,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_40 ),
inference(constrained_superposition,[],[f467,f48]) ).
thf(f505,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_40 ),
inference(trivial_inequality_removal,[],[f502]) ).
thf(f507,plain,
( spl2_33
| spl2_40 ),
inference(avatar_split_clause,[],[f505,f466,f440]) ).
thf(f516,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_36 ),
inference(constrained_superposition,[],[f452,f49]) ).
thf(f519,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_36 ),
inference(trivial_inequality_removal,[],[f516]) ).
thf(f529,definition,
( spl2_48
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f530,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f529]) ).
thf(f535,definition,
( spl2_49
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f536,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f535]) ).
thf(f550,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_21 ),
inference(constrained_superposition,[],[f140,f356]) ).
thf(f552,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f554,plain,
( $false
| ~ spl2_8
| ~ spl2_21
| spl2_36 ),
inference(forward_subsumption_resolution,[],[f552,f519]) ).
thf(f555,plain,
( ~ spl2_8
| ~ spl2_21
| spl2_36 ),
inference(avatar_contradiction_clause,[],[f554]) ).
thf(f557,definition,
( spl2_50
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f558,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f557]) ).
thf(f568,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_27 ),
inference(constrained_superposition,[],[f415,f497]) ).
thf(f574,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_5
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f568]) ).
thf(f580,definition,
( spl2_51
<=> ! [X2: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f581,plain,
( ! [X2: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f580]) ).
thf(f586,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_5
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_subsumption_resolution,[],[f574,f245]) ).
thf(f588,plain,
( $false
| ~ spl2_5
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_subsumption_resolution,[],[f586,f47]) ).
thf(f589,plain,
( ~ spl2_5
| ~ spl2_15
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f588]) ).
thf(f619,definition,
( spl2_54
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f620,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_54 ),
inference(avatar_component_clause,[],[f619]) ).
thf(f626,definition,
( spl2_55
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f627,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f626]) ).
thf(f682,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_25 ),
inference(constrained_superposition,[],[f408,f179]) ).
thf(f683,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_25 ),
inference(constrained_superposition,[],[f408,f497]) ).
thf(f684,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_25 ),
inference(constrained_superposition,[],[f408,f245]) ).
thf(f685,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f683]) ).
thf(f686,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f684]) ).
thf(f687,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f682]) ).
thf(f689,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f685,f47]) ).
thf(f691,definition,
( spl2_56
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f692,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_56 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f693,plain,
( ~ spl2_56
| spl2_22
| ~ spl2_15
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f686,f407,f244,f358,f691]) ).
thf(f694,plain,
( ~ spl2_56
| ~ spl2_12
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f687,f407,f178,f691]) ).
thf(f699,plain,
( ~ spl2_56
| ~ spl2_5
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f689,f407,f115,f691]) ).
thf(f753,definition,
( spl2_59
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f754,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_59 ),
inference(avatar_component_clause,[],[f753]) ).
thf(f757,definition,
( spl2_60
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f758,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f757]) ).
thf(f760,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_42 ),
inference(constrained_superposition,[],[f474,f49]) ).
thf(f763,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_42 ),
inference(trivial_inequality_removal,[],[f760]) ).
thf(f764,plain,
( spl2_60
| spl2_42 ),
inference(avatar_split_clause,[],[f763,f473,f757]) ).
thf(f765,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_51
| spl2_59 ),
inference(constrained_superposition,[],[f754,f581]) ).
thf(f767,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_51
| spl2_59 ),
inference(trivial_inequality_removal,[],[f765]) ).
thf(f769,plain,
( $false
| ~ spl2_51
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f767,f47]) ).
thf(f770,plain,
( ~ spl2_51
| spl2_59 ),
inference(avatar_contradiction_clause,[],[f769]) ).
thf(f774,definition,
( spl2_61
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).
thf(f775,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_61 ),
inference(avatar_component_clause,[],[f774]) ).
thf(f777,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f73,f48]) ).
thf(f778,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f73,f27]) ).
thf(f779,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f777]) ).
thf(f780,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f778]) ).
thf(f781,plain,
( spl2_39
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f779,f72,f462]) ).
thf(f782,plain,
( spl2_47
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f780,f72,f490]) ).
thf(f788,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f116,f49]) ).
thf(f791,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f788]) ).
thf(f795,plain,
( spl2_60
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f791,f115,f757]) ).
thf(f814,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_45 ),
inference(constrained_superposition,[],[f484,f50]) ).
thf(f817,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45 ),
inference(trivial_inequality_removal,[],[f814]) ).
thf(f823,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f434,f90]) ).
thf(f827,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f823]) ).
thf(f829,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_34 ),
inference(constrained_superposition,[],[f444,f49]) ).
thf(f831,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f829]) ).
thf(f834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_50 ),
inference(constrained_superposition,[],[f558,f356]) ).
thf(f836,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_21
| ~ spl2_50 ),
inference(duplicate_literal_removal,[],[f834]) ).
thf(f837,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_21
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f836]) ).
thf(f840,plain,
( ( $true != $true )
| ~ spl2_12
| ~ spl2_21
| ~ spl2_50 ),
inference(constrained_superposition,[],[f837,f179]) ).
thf(f843,plain,
( $false
| ~ spl2_12
| ~ spl2_21
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f840]) ).
thf(f844,plain,
( ~ spl2_12
| ~ spl2_21
| ~ spl2_50 ),
inference(avatar_contradiction_clause,[],[f843]) ).
thf(f846,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f817,f47]) ).
thf(f849,plain,
( $false
| ~ spl2_21
| spl2_45
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f846,f837]) ).
thf(f850,plain,
( ~ spl2_21
| spl2_45
| ~ spl2_50 ),
inference(avatar_contradiction_clause,[],[f849]) ).
thf(f851,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_21
| ~ spl2_44
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f481,f837]) ).
thf(f852,plain,
( spl2_23
| ~ spl2_21
| ~ spl2_44
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f851,f557,f480,f355,f376]) ).
thf(f877,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f25,f491]) ).
thf(f882,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X3 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f877]) ).
thf(f885,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X2 )
| ( sK1 = X0 )
| ( ( b @ X0 @ X3 )
!= $true ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f882,f491]) ).
thf(f887,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X3 )
!= $true )
| ( sK1 = X2 ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f885]) ).
thf(f893,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f460,f27]) ).
thf(f894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f460,f49]) ).
thf(f895,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f893]) ).
thf(f896,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f894]) ).
thf(f898,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f895,f50]) ).
thf(f906,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f898]) ).
thf(f912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X1 ) ) )
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f906,f47]) ).
thf(f917,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f912,f47]) ).
thf(f922,definition,
( spl2_63
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).
thf(f923,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f922]) ).
thf(f936,plain,
( spl2_63
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f831,f443,f922]) ).
thf(f938,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_50
| ~ spl2_63 ),
inference(constrained_superposition,[],[f558,f923]) ).
thf(f941,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_63 ),
inference(constrained_superposition,[],[f25,f923]) ).
thf(f943,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f941]) ).
thf(f944,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_50
| ~ spl2_63 ),
inference(duplicate_literal_removal,[],[f938]) ).
thf(f945,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_50
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f944]) ).
thf(f954,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_50
| spl2_59
| ~ spl2_63 ),
inference(forward_subsumption_resolution,[],[f945,f754]) ).
thf(f959,definition,
( spl2_67
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
thf(f960,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X2 ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f959]) ).
thf(f962,plain,
( ( $true != $true )
| ~ spl2_50
| spl2_59
| ~ spl2_60
| ~ spl2_63 ),
inference(constrained_superposition,[],[f954,f758]) ).
thf(f965,plain,
( $false
| ~ spl2_50
| spl2_59
| ~ spl2_60
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f962]) ).
thf(f966,plain,
( ~ spl2_50
| spl2_59
| ~ spl2_60
| ~ spl2_63 ),
inference(avatar_contradiction_clause,[],[f965]) ).
thf(f967,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f753]) ).
thf(f969,definition,
( spl2_68
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f970,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f969]) ).
thf(f973,definition,
( spl2_69
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
thf(f974,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f973]) ).
thf(f1048,definition,
( spl2_71
<=> ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f1049,plain,
( ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f1048]) ).
thf(f1088,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f76,f27]) ).
thf(f1090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f76,f50]) ).
thf(f1097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1088]) ).
thf(f1098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1090]) ).
thf(f1104,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_36 ),
inference(constrained_superposition,[],[f452,f49]) ).
thf(f1107,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_36 ),
inference(trivial_inequality_removal,[],[f1104]) ).
thf(f1128,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_63 ),
inference(constrained_superposition,[],[f943,f923]) ).
thf(f1131,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_63 ),
inference(duplicate_literal_removal,[],[f1128]) ).
thf(f1132,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f1131]) ).
thf(f1134,definition,
( spl2_74
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f1135,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f1134]) ).
thf(f1136,plain,
( spl2_68
| spl2_74
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f1132,f922,f1134,f969]) ).
thf(f1137,plain,
( ( $true != $true )
| ~ spl2_60
| ~ spl2_68 ),
inference(constrained_superposition,[],[f970,f758]) ).
thf(f1139,plain,
( $false
| ~ spl2_60
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f1137]) ).
thf(f1140,plain,
( ~ spl2_60
| ~ spl2_68 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
thf(f1151,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f619]) ).
thf(f1162,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_33 ),
inference(avatar_component_clause,[],[f440]) ).
thf(f1178,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_33
| ~ spl2_47 ),
inference(constrained_superposition,[],[f1162,f491]) ).
thf(f1180,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_33
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f1178]) ).
thf(f1182,plain,
( $false
| spl2_33
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f1180,f47]) ).
thf(f1183,plain,
( spl2_33
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
thf(f1186,definition,
( spl2_76
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f1187,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f1186]) ).
thf(f1190,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_33
| ~ spl2_47 ),
inference(constrained_superposition,[],[f882,f441]) ).
thf(f1193,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_33
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f1190]) ).
thf(f1214,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1193,f758]) ).
thf(f1217,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f1214]) ).
thf(f1219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1217,f758]) ).
thf(f1221,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f1219]) ).
thf(f1235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_41
| ~ spl2_50 ),
inference(constrained_superposition,[],[f558,f470]) ).
thf(f1236,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_41 ),
inference(constrained_superposition,[],[f25,f470]) ).
thf(f1239,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_41
| ~ spl2_50 ),
inference(duplicate_literal_removal,[],[f1235]) ).
thf(f1240,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_41
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f1239]) ).
thf(f1242,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f1236]) ).
thf(f1248,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_41 ),
inference(constrained_superposition,[],[f1242,f470]) ).
thf(f1251,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_41 ),
inference(duplicate_literal_removal,[],[f1248]) ).
thf(f1252,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f1251]) ).
thf(f1255,definition,
( spl2_77
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f1256,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f1255]) ).
thf(f1257,plain,
( spl2_68
| spl2_77
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f1252,f469,f1255,f969]) ).
thf(f1292,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f896,f213]) ).
thf(f1296,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1292]) ).
thf(f1309,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f182,f27]) ).
thf(f1314,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f1309]) ).
thf(f1317,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1097,f27]) ).
thf(f1320,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1317]) ).
thf(f1455,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f827,f93]) ).
thf(f1458,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1455]) ).
thf(f1589,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( sK1 = X2 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_47
| ~ spl2_60 ),
inference(constrained_superposition,[],[f887,f758]) ).
thf(f1596,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X2 ) )
| ~ spl2_47
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f1589]) ).
thf(f1658,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f25,f335]) ).
thf(f1661,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f1658]) ).
thf(f1724,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32 ),
inference(avatar_component_clause,[],[f436]) ).
thf(f1752,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(constrained_superposition,[],[f1661,f1458]) ).
thf(f1767,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(duplicate_literal_removal,[],[f1752]) ).
thf(f1768,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1767]) ).
thf(f1786,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f1768,f47]) ).
thf(f1795,definition,
( spl2_84
<=> ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f1796,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f1795]) ).
thf(f1807,definition,
( spl2_86
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f1808,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f1807]) ).
thf(f1816,definition,
( spl2_88
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
thf(f1817,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f1816]) ).
thf(f1818,plain,
( spl2_86
| spl2_88
| ~ spl2_17
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f1786,f433,f334,f1816,f1807]) ).
thf(f1852,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_59
| ~ spl2_86 ),
inference(constrained_superposition,[],[f1808,f967]) ).
thf(f1853,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_86 ),
inference(constrained_superposition,[],[f1808,f1320]) ).
thf(f1864,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_59
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f1852]) ).
thf(f1873,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f1853]) ).
thf(f1875,plain,
( $false
| ~ spl2_54
| ~ spl2_59
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f1864,f1151]) ).
thf(f1876,plain,
( ~ spl2_54
| ~ spl2_59
| ~ spl2_86 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
thf(f1880,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_54
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f1873,f1151]) ).
thf(f1883,plain,
( spl2_55
| ~ spl2_4
| ~ spl2_54
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f1880,f1807,f619,f75,f626]) ).
thf(f1886,definition,
( spl2_91
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
thf(f1887,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f1886]) ).
thf(f1890,definition,
( spl2_92
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).
thf(f1891,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f1890]) ).
thf(f1986,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f1990,definition,
( spl2_94
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).
thf(f1991,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f1990]) ).
thf(f1993,definition,
( spl2_95
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).
thf(f1994,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f1993]) ).
thf(f2002,definition,
( spl2_97
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).
thf(f2003,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f2002]) ).
thf(f2005,definition,
( spl2_98
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).
thf(f2006,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_98 ),
inference(avatar_component_clause,[],[f2005]) ).
thf(f2062,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f25,f345]) ).
thf(f2069,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f2062]) ).
thf(f2075,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_21 ),
inference(avatar_component_clause,[],[f355]) ).
thf(f2087,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_21
| ~ spl2_41 ),
inference(constrained_superposition,[],[f2075,f470]) ).
thf(f2090,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_21
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f2087]) ).
thf(f2157,definition,
( spl2_108
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_108])],[avatar_definition]) ).
thf(f2158,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f2157]) ).
thf(f2160,plain,
( spl2_59
| spl2_36 ),
inference(avatar_split_clause,[],[f1107,f451,f753]) ).
thf(f2168,definition,
( spl2_110
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f2169,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f2168]) ).
thf(f2182,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_4
| spl2_59 ),
inference(constrained_superposition,[],[f754,f1320]) ).
thf(f2183,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_46
| spl2_59 ),
inference(constrained_superposition,[],[f754,f488]) ).
thf(f2188,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_46
| spl2_59 ),
inference(trivial_inequality_removal,[],[f2183]) ).
thf(f2189,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_4
| spl2_59 ),
inference(trivial_inequality_removal,[],[f2182]) ).
thf(f2191,plain,
( spl2_110
| ~ spl2_46
| spl2_59 ),
inference(avatar_split_clause,[],[f2188,f753,f487,f2168]) ).
thf(f2192,plain,
( spl2_55
| ~ spl2_4
| spl2_59 ),
inference(avatar_split_clause,[],[f2189,f753,f75,f626]) ).
thf(f2241,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_60
| ~ spl2_92 ),
inference(constrained_superposition,[],[f1891,f758]) ).
thf(f2248,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_60
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2241]) ).
thf(f2254,plain,
( spl2_7
| ~ spl2_60
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f2248,f1890,f757,f136]) ).
thf(f2256,definition,
( spl2_113
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_113])],[avatar_definition]) ).
thf(f2257,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_113 ),
inference(avatar_component_clause,[],[f2256]) ).
thf(f2267,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_7
| ~ spl2_33 ),
inference(constrained_superposition,[],[f137,f441]) ).
thf(f2275,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_7
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2267]) ).
thf(f2278,plain,
( $false
| ~ spl2_7
| ~ spl2_33
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f2275,f758]) ).
thf(f2279,plain,
( ~ spl2_7
| ~ spl2_33
| ~ spl2_60 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
thf(f2316,definition,
( spl2_115
<=> ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).
thf(f2317,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f2316]) ).
thf(f2449,definition,
( spl2_118
<=> ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f2450,plain,
( ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f2449]) ).
thf(f2452,definition,
( spl2_119
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f2453,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f2452]) ).
thf(f2455,definition,
( spl2_120
<=> ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f2456,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f2455]) ).
thf(f2482,definition,
( spl2_121
<=> ! [X1: $i,X3: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f2483,plain,
( ! [X3: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f2482]) ).
thf(f2485,definition,
( spl2_122
<=> ! [X2: $i] :
( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f2486,plain,
( ! [X2: $i] :
( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f2485]) ).
thf(f2501,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20
| ~ spl2_41 ),
inference(constrained_superposition,[],[f2069,f470]) ).
thf(f2512,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f2501]) ).
thf(f2516,definition,
( spl2_123
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f2517,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f2516]) ).
thf(f2519,definition,
( spl2_124
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f2520,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f2519]) ).
thf(f2521,plain,
( spl2_123
| spl2_124
| ~ spl2_20
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f2512,f469,f344,f2519,f2516]) ).
thf(f2531,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_119 ),
inference(avatar_component_clause,[],[f2452]) ).
thf(f2573,definition,
( spl2_127
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f2574,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f2573]) ).
thf(f2577,plain,
( spl2_54
| spl2_21
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f2090,f469,f355,f619]) ).
thf(f2578,plain,
( spl2_54
| spl2_68
| ~ spl2_41
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f1240,f557,f469,f969,f619]) ).
thf(f2596,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_47
| spl2_54 ),
inference(constrained_superposition,[],[f620,f491]) ).
thf(f2601,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_47
| spl2_54 ),
inference(trivial_inequality_removal,[],[f2596]) ).
thf(f2603,plain,
( $false
| ~ spl2_47
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f2601,f47]) ).
thf(f2604,plain,
( ~ spl2_47
| spl2_54 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
thf(f2607,definition,
( spl2_128
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f2608,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f2607]) ).
thf(f2612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( sK1 = X1 ) )
| ~ spl2_47
| ~ spl2_54 ),
inference(constrained_superposition,[],[f882,f1151]) ).
thf(f2616,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_47
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f2612]) ).
thf(f2675,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 ) )
| ~ spl2_47
| ~ spl2_88 ),
inference(constrained_superposition,[],[f1817,f491]) ).
thf(f2681,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_47
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f2675]) ).
thf(f2686,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_47
| ~ spl2_54
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f2681,f1151]) ).
thf(f2689,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_47
| ~ spl2_54
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f2686,f47]) ).
thf(f2690,plain,
( spl2_30
| ~ spl2_47
| ~ spl2_54
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f2689,f1816,f619,f490,f427]) ).
thf(f2783,definition,
( spl2_129
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f2784,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f2783]) ).
thf(f2843,definition,
( spl2_133
<=> ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f2844,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f2843]) ).
thf(f2887,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_32
| ~ spl2_113 ),
inference(constrained_superposition,[],[f1724,f2257]) ).
thf(f2897,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_32
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f2887]) ).
thf(f2919,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_32
| ~ spl2_113 ),
inference(forward_subsumption_resolution,[],[f2897,f47]) ).
thf(f2922,plain,
( spl2_59
| spl2_22
| spl2_32
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f2919,f2256,f436,f358,f753]) ).
thf(f3328,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_15
| spl2_32 ),
inference(constrained_superposition,[],[f1724,f245]) ).
thf(f3330,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_27 ),
inference(constrained_superposition,[],[f415,f245]) ).
thf(f3344,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_15
| spl2_32 ),
inference(trivial_inequality_removal,[],[f3328]) ).
thf(f3350,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_15
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f3330]) ).
thf(f3356,plain,
( spl2_22
| ~ spl2_15
| spl2_32 ),
inference(avatar_split_clause,[],[f3344,f436,f244,f358]) ).
thf(f3357,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_15
| ~ spl2_27
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f3350,f758]) ).
thf(f3359,plain,
( spl2_22
| ~ spl2_15
| ~ spl2_27
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f3357,f757,f414,f244,f358]) ).
thf(f4050,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_22 ),
inference(avatar_component_clause,[],[f358]) ).
thf(f4108,definition,
( spl2_162
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f4109,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f4108]) ).
thf(f4111,definition,
( spl2_163
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_163])],[avatar_definition]) ).
thf(f4112,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f4111]) ).
thf(f4115,definition,
( spl2_164
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f4116,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f4115]) ).
thf(f4118,definition,
( spl2_165
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_165])],[avatar_definition]) ).
thf(f4119,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_165 ),
inference(avatar_component_clause,[],[f4118]) ).
thf(f4124,definition,
( spl2_166
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f4125,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f4124]) ).
thf(f4127,definition,
( spl2_167
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f4128,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f4127]) ).
thf(f4131,definition,
( spl2_168
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f4132,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f4131]) ).
thf(f4135,definition,
( spl2_169
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f4136,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_169 ),
inference(avatar_component_clause,[],[f4135]) ).
thf(f4448,definition,
( spl2_173
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f4449,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f4448]) ).
thf(f4451,definition,
( spl2_174
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f4452,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f4451]) ).
thf(f4468,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_165 ),
inference(constrained_superposition,[],[f119,f4119]) ).
thf(f4469,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_165 ),
inference(constrained_superposition,[],[f76,f4119]) ).
thf(f4481,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f4468]) ).
thf(f4488,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f4469]) ).
thf(f4495,definition,
( spl2_175
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f4496,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f4495]) ).
thf(f4498,definition,
( spl2_176
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f4499,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f4498]) ).
thf(f4506,definition,
( spl2_178
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f4507,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f4506]) ).
thf(f4510,definition,
( spl2_179
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f4511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f4510]) ).
thf(f4514,definition,
( spl2_180
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f4515,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f4514]) ).
thf(f4516,plain,
( spl2_180
| ~ spl2_169
| ~ spl2_4
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f4488,f4118,f75,f4135,f4514]) ).
thf(f4518,definition,
( spl2_181
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f4519,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f4518]) ).
thf(f4527,definition,
( spl2_182
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f4528,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_182 ),
inference(avatar_component_clause,[],[f4527]) ).
thf(f4530,definition,
( spl2_183
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f4531,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f4530]) ).
thf(f4538,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_183 ),
inference(constrained_superposition,[],[f335,f4531]) ).
thf(f4555,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f93,f4531]) ).
thf(f4557,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_6
| ~ spl2_183 ),
inference(constrained_superposition,[],[f119,f4531]) ).
thf(f4560,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_183 ),
inference(constrained_superposition,[],[f335,f4531]) ).
thf(f4617,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f4557]) ).
thf(f4631,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_11
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4555,f159]) ).
thf(f4637,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4538,f692]) ).
thf(f4638,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_6
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4617,f692]) ).
thf(f4647,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| spl2_119
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4560,f2531]) ).
thf(f4655,plain,
( $false
| spl2_11
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4631,f692]) ).
thf(f4656,plain,
( spl2_11
| spl2_56
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f4655]) ).
thf(f4660,plain,
( $false
| ~ spl2_17
| spl2_21
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4637,f2075]) ).
thf(f4661,plain,
( ~ spl2_17
| spl2_21
| spl2_56
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f4660]) ).
thf(f4662,plain,
( spl2_71
| ~ spl2_6
| spl2_56
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f4638,f4530,f691,f118,f1048]) ).
thf(f4666,plain,
( $false
| ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f4647,f2075]) ).
thf(f4667,plain,
( ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f4666]) ).
thf(f4673,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_182 ),
inference(constrained_superposition,[],[f335,f4528]) ).
thf(f4690,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f93,f4528]) ).
thf(f4691,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f100,f4528]) ).
thf(f4695,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_17
| ~ spl2_182 ),
inference(constrained_superposition,[],[f335,f4528]) ).
thf(f4696,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_20
| ~ spl2_182 ),
inference(constrained_superposition,[],[f345,f4528]) ).
thf(f4751,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_182 ),
inference(duplicate_literal_removal,[],[f4691]) ).
thf(f4760,plain,
( $false
| ~ spl2_20
| spl2_119
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4696,f2531]) ).
thf(f4761,plain,
( ~ spl2_20
| spl2_119
| ~ spl2_182 ),
inference(avatar_contradiction_clause,[],[f4760]) ).
thf(f4766,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_17
| spl2_21
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4695,f2075]) ).
thf(f4768,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| spl2_56
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4673,f692]) ).
thf(f4770,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_56
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4751,f692]) ).
thf(f4782,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_56
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4690,f692]) ).
thf(f4786,plain,
( $false
| ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4766,f2531]) ).
thf(f4787,plain,
( ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_182 ),
inference(avatar_contradiction_clause,[],[f4786]) ).
thf(f4788,plain,
( $false
| ~ spl2_17
| spl2_21
| spl2_56
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4768,f2075]) ).
thf(f4789,plain,
( ~ spl2_17
| spl2_21
| spl2_56
| ~ spl2_182 ),
inference(avatar_contradiction_clause,[],[f4788]) ).
thf(f4790,plain,
( spl2_71
| spl2_5
| spl2_56
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f4770,f4527,f691,f115,f1048]) ).
thf(f4799,plain,
( $false
| spl2_11
| spl2_56
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f4782,f159]) ).
thf(f4800,plain,
( spl2_11
| spl2_56
| ~ spl2_182 ),
inference(avatar_contradiction_clause,[],[f4799]) ).
thf(f4803,definition,
( spl2_184
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f4804,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f4803]) ).
thf(f4806,definition,
( spl2_185
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f4807,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_185 ),
inference(avatar_component_clause,[],[f4806]) ).
thf(f4808,plain,
( spl2_184
| ~ spl2_185
| ~ spl2_6
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f4481,f4118,f118,f4806,f4803]) ).
thf(f4976,definition,
( spl2_188
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f4977,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f4976]) ).
thf(f4980,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f4496,f93]) ).
thf(f4982,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f4496,f49]) ).
thf(f4984,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f4496,f27]) ).
thf(f4985,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f4984]) ).
thf(f4988,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f4980]) ).
thf(f4989,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f4982]) ).
thf(f4990,plain,
( spl2_178
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f4985,f4495,f4506]) ).
thf(f4991,plain,
( spl2_184
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f4988,f4495,f4803]) ).
thf(f4992,plain,
( spl2_180
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f4989,f4495,f4514]) ).
thf(f5016,definition,
( spl2_189
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f5017,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f5016]) ).
thf(f5025,definition,
( spl2_191
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f5026,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f5025]) ).
thf(f5029,definition,
( spl2_192
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f5030,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f5029]) ).
thf(f5032,definition,
( spl2_193
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f5033,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f5032]) ).
thf(f5042,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_38
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f1296,f754]) ).
thf(f5049,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_38
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f5042,f47]) ).
thf(f5051,definition,
( spl2_194
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f5052,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f5051]) ).
thf(f5057,plain,
( spl2_69
| ~ spl2_38
| spl2_59 ),
inference(avatar_split_clause,[],[f5049,f753,f459,f973]) ).
thf(f5059,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_180
| ~ spl2_191 ),
inference(constrained_superposition,[],[f4515,f5026]) ).
thf(f5064,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_191 ),
inference(constrained_superposition,[],[f335,f5026]) ).
thf(f5132,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| spl2_119
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f5064,f2531]) ).
thf(f5134,plain,
( $false
| spl2_59
| ~ spl2_180
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f5059,f754]) ).
thf(f5135,plain,
( spl2_59
| ~ spl2_180
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f5134]) ).
thf(f5141,plain,
( $false
| ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f5132,f2075]) ).
thf(f5142,plain,
( ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f5141]) ).
thf(f5154,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_185 ),
inference(constrained_superposition,[],[f4807,f93]) ).
thf(f5159,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_185 ),
inference(trivial_inequality_removal,[],[f5154]) ).
thf(f5173,definition,
( spl2_197
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f5174,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f5173]) ).
thf(f5181,definition,
( spl2_198
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f5182,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f5181]) ).
thf(f5184,definition,
( spl2_199
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_199])],[avatar_definition]) ).
thf(f5185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_199 ),
inference(avatar_component_clause,[],[f5184]) ).
thf(f5206,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_164 ),
inference(constrained_superposition,[],[f2517,f4116]) ).
thf(f5216,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f5206]) ).
thf(f5219,definition,
( spl2_200
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f5220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f5219]) ).
thf(f5222,definition,
( spl2_201
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f5223,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f5222]) ).
thf(f5225,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_163
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f5216,f4112]) ).
thf(f5227,plain,
( spl2_176
| ~ spl2_123
| ~ spl2_163
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f5225,f4115,f4111,f2516,f4498]) ).
thf(f5235,definition,
( spl2_202
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f5236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_202 ),
inference(avatar_component_clause,[],[f5235]) ).
thf(f5240,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_77
| ~ spl2_166 ),
inference(constrained_superposition,[],[f1256,f4125]) ).
thf(f5247,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_77
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f5240]) ).
thf(f5252,definition,
( spl2_203
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_203])],[avatar_definition]) ).
thf(f5253,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f5252]) ).
thf(f5256,definition,
( spl2_204
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).
thf(f5257,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_204 ),
inference(avatar_component_clause,[],[f5256]) ).
thf(f5259,definition,
( spl2_205
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f5260,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f5259]) ).
thf(f5264,definition,
( spl2_206
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).
thf(f5265,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f5264]) ).
thf(f5266,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_180 ),
inference(avatar_component_clause,[],[f4514]) ).
thf(f5272,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_184 ),
inference(avatar_component_clause,[],[f4803]) ).
thf(f5273,plain,
( spl2_205
| ~ spl2_184
| ~ spl2_77
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f5247,f4124,f1255,f4803,f5259]) ).
thf(f5274,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_94 ),
inference(avatar_component_clause,[],[f1990]) ).
thf(f5302,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| spl2_204 ),
inference(constrained_superposition,[],[f5257,f917]) ).
thf(f5304,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| spl2_204 ),
inference(constrained_superposition,[],[f5257,f627]) ).
thf(f5305,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91
| spl2_204 ),
inference(constrained_superposition,[],[f5257,f1887]) ).
thf(f5307,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_38
| spl2_204 ),
inference(trivial_inequality_removal,[],[f5302]) ).
thf(f5309,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_91
| spl2_204 ),
inference(trivial_inequality_removal,[],[f5305]) ).
thf(f5310,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| spl2_204 ),
inference(trivial_inequality_removal,[],[f5304]) ).
thf(f5312,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| spl2_180
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f5307,f5266]) ).
thf(f5317,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91
| spl2_184
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f5309,f5272]) ).
thf(f5318,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| spl2_180
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f5310,f5266]) ).
thf(f5323,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| spl2_59
| spl2_180
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f5312,f754]) ).
thf(f5324,plain,
( spl2_182
| spl2_191
| ~ spl2_91
| spl2_184
| spl2_204 ),
inference(avatar_split_clause,[],[f5317,f5256,f4803,f1886,f5025,f4527]) ).
thf(f5325,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| spl2_180
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f5318,f47]) ).
thf(f5326,plain,
( spl2_183
| ~ spl2_38
| spl2_59
| spl2_180
| spl2_204 ),
inference(avatar_split_clause,[],[f5323,f5256,f4514,f753,f459,f4530]) ).
thf(f5327,plain,
( spl2_191
| ~ spl2_55
| spl2_180
| spl2_204 ),
inference(avatar_split_clause,[],[f5325,f5256,f4514,f626,f5025]) ).
thf(f5334,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_55
| ~ spl2_122 ),
inference(constrained_superposition,[],[f2486,f627]) ).
thf(f5337,plain,
( ( $true != $true )
| ~ spl2_54
| ~ spl2_122 ),
inference(constrained_superposition,[],[f2486,f1151]) ).
thf(f5338,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_122 ),
inference(constrained_superposition,[],[f2486,f491]) ).
thf(f5339,plain,
( ( $true != $true )
| ~ spl2_122
| ~ spl2_163 ),
inference(constrained_superposition,[],[f2486,f4112]) ).
thf(f5340,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_38
| ~ spl2_122 ),
inference(constrained_superposition,[],[f2486,f917]) ).
thf(f5343,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_47
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5338]) ).
thf(f5344,plain,
( $false
| ~ spl2_122
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f5339]) ).
thf(f5345,plain,
( ~ spl2_122
| ~ spl2_163 ),
inference(avatar_contradiction_clause,[],[f5344]) ).
thf(f5347,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5340]) ).
thf(f5348,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_55
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5334]) ).
thf(f5349,plain,
( $false
| ~ spl2_54
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5337]) ).
thf(f5350,plain,
( ~ spl2_54
| ~ spl2_122 ),
inference(avatar_contradiction_clause,[],[f5349]) ).
thf(f5351,plain,
( $false
| ~ spl2_47
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f5343,f47]) ).
thf(f5352,plain,
( ~ spl2_47
| ~ spl2_122 ),
inference(avatar_contradiction_clause,[],[f5351]) ).
thf(f5354,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_38
| spl2_59
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f5347,f754]) ).
thf(f5355,plain,
( spl2_128
| ~ spl2_55
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f5348,f2485,f626,f2607]) ).
thf(f5357,definition,
( spl2_213
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_213])],[avatar_definition]) ).
thf(f5358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( X0 = X1 ) )
| ~ spl2_213 ),
inference(avatar_component_clause,[],[f5357]) ).
thf(f5360,plain,
( spl2_127
| ~ spl2_38
| spl2_59
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f5354,f2485,f753,f459,f2573]) ).
thf(f5365,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_119 ),
inference(constrained_superposition,[],[f25,f2453]) ).
thf(f5367,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_119 ),
inference(duplicate_literal_removal,[],[f5365]) ).
thf(f5368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f5367]) ).
thf(f5373,plain,
( spl2_121
| spl2_122
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f5368,f2452,f2485,f2482]) ).
thf(f5449,definition,
( spl2_214
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f5450,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f5449]) ).
thf(f5457,definition,
( spl2_216
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f5458,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_216 ),
inference(avatar_component_clause,[],[f5457]) ).
thf(f5463,definition,
( spl2_217
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).
thf(f5464,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_217 ),
inference(avatar_component_clause,[],[f5463]) ).
thf(f5466,definition,
( spl2_218
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).
thf(f5467,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_218 ),
inference(avatar_component_clause,[],[f5466]) ).
thf(f5491,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_47
| ~ spl2_97 ),
inference(constrained_superposition,[],[f2003,f491]) ).
thf(f5494,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_166 ),
inference(constrained_superposition,[],[f2003,f4125]) ).
thf(f5498,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f5494]) ).
thf(f5502,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_47
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f5491]) ).
thf(f5507,plain,
( ~ spl2_184
| ~ spl2_97
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f5498,f4124,f2002,f4803]) ).
thf(f5509,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_33
| ~ spl2_47
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f5502,f441]) ).
thf(f5516,plain,
( $false
| ~ spl2_33
| ~ spl2_47
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f5509,f47]) ).
thf(f5517,plain,
( ~ spl2_33
| ~ spl2_47
| ~ spl2_97 ),
inference(avatar_contradiction_clause,[],[f5516]) ).
thf(f5520,definition,
( spl2_220
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f5521,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f5520]) ).
thf(f5523,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_218 ),
inference(avatar_component_clause,[],[f5466]) ).
thf(f5525,plain,
( spl2_95
| spl2_185 ),
inference(avatar_split_clause,[],[f5159,f4806,f1993]) ).
thf(f5537,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_86
| ~ spl2_194 ),
inference(constrained_superposition,[],[f1808,f5052]) ).
thf(f5539,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_86 ),
inference(constrained_superposition,[],[f1808,f917]) ).
thf(f5545,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_86
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f5537]) ).
thf(f5555,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_38
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f5539]) ).
thf(f5558,plain,
( $false
| ~ spl2_86
| ~ spl2_163
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f5545,f4112]) ).
thf(f5559,plain,
( ~ spl2_86
| ~ spl2_163
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f5558]) ).
thf(f5561,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_38
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f5555,f917]) ).
thf(f5565,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_38
| spl2_59
| ~ spl2_86 ),
inference(forward_subsumption_resolution,[],[f5561,f754]) ).
thf(f5567,plain,
( spl2_127
| ~ spl2_38
| spl2_59
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f5565,f1807,f753,f459,f2573]) ).
thf(f5901,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_173 ),
inference(constrained_superposition,[],[f4449,f491]) ).
thf(f5905,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166
| ~ spl2_173 ),
inference(constrained_superposition,[],[f4449,f4125]) ).
thf(f5915,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_47
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f5901]) ).
thf(f5918,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f5905]) ).
thf(f5930,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_47
| ~ spl2_54
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f5915,f1151]) ).
thf(f5933,plain,
( ~ spl2_204
| ~ spl2_166
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f5918,f4448,f4124,f5256]) ).
thf(f5938,plain,
( $false
| ~ spl2_47
| ~ spl2_54
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f5930,f47]) ).
thf(f5939,plain,
( ~ spl2_47
| ~ spl2_54
| ~ spl2_173 ),
inference(avatar_contradiction_clause,[],[f5938]) ).
thf(f6053,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5017,f4499]) ).
thf(f6054,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_47
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5017,f491]) ).
thf(f6056,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_164
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5017,f4116]) ).
thf(f6062,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_176
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f6053]) ).
thf(f6064,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f6054]) ).
thf(f6068,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_164
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f6056]) ).
thf(f6071,plain,
( $false
| ~ spl2_54
| ~ spl2_176
| ~ spl2_189 ),
inference(forward_subsumption_resolution,[],[f6062,f1151]) ).
thf(f6072,plain,
( ~ spl2_54
| ~ spl2_176
| ~ spl2_189 ),
inference(avatar_contradiction_clause,[],[f6071]) ).
thf(f6074,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_47
| ~ spl2_189 ),
inference(forward_subsumption_resolution,[],[f6064,f47]) ).
thf(f6080,plain,
( $false
| ~ spl2_163
| ~ spl2_164
| ~ spl2_189 ),
inference(forward_subsumption_resolution,[],[f6068,f4112]) ).
thf(f6081,plain,
( ~ spl2_163
| ~ spl2_164
| ~ spl2_189 ),
inference(avatar_contradiction_clause,[],[f6080]) ).
thf(f6084,plain,
( $false
| ~ spl2_47
| ~ spl2_54
| ~ spl2_189 ),
inference(forward_subsumption_resolution,[],[f6074,f1151]) ).
thf(f6085,plain,
( ~ spl2_47
| ~ spl2_54
| ~ spl2_189 ),
inference(avatar_contradiction_clause,[],[f6084]) ).
thf(f6158,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_201 ),
inference(constrained_superposition,[],[f5223,f491]) ).
thf(f6167,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_47
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f6158]) ).
thf(f6177,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_47
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f6167,f47]) ).
thf(f6194,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_201 ),
inference(constrained_superposition,[],[f6177,f491]) ).
thf(f6196,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_47
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f6194]) ).
thf(f6198,plain,
( $false
| ~ spl2_47
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f6196,f47]) ).
thf(f6199,plain,
( ~ spl2_47
| ~ spl2_201 ),
inference(avatar_contradiction_clause,[],[f6198]) ).
thf(f6205,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f213,f5026]) ).
thf(f6208,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_30
| ~ spl2_191 ),
inference(constrained_superposition,[],[f428,f5026]) ).
thf(f6229,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f41,f5026]) ).
thf(f6268,plain,
( $false
| spl2_21
| ~ spl2_30
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f6208,f2075]) ).
thf(f6269,plain,
( spl2_21
| ~ spl2_30
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f6268]) ).
thf(f6281,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_168 ),
inference(avatar_component_clause,[],[f4131]) ).
thf(f6302,definition,
( spl2_230
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f6303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f6302]) ).
thf(f6305,definition,
( spl2_231
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f6306,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f6305]) ).
thf(f6314,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_169 ),
inference(constrained_superposition,[],[f4136,f49]) ).
thf(f6317,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_169 ),
inference(trivial_inequality_removal,[],[f6314]) ).
thf(f6330,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191 ),
inference(equality_resolution,[],[f6229]) ).
thf(f6335,plain,
( spl2_183
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f6330,f5025,f4530]) ).
thf(f6340,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f6341,plain,
( spl2_24
| spl2_119
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f6205,f5025,f2452,f379]) ).
thf(f6362,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f92,f4531]) ).
thf(f6364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f100,f4531]) ).
thf(f6397,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f6364]) ).
thf(f6399,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f6362,f692]) ).
thf(f6409,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f6397,f692]) ).
thf(f6414,plain,
( spl2_5
| spl2_71
| spl2_56
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f6409,f4530,f691,f1048,f115]) ).
thf(f6418,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f116,f27]) ).
thf(f6420,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f6418]) ).
thf(f6423,plain,
( spl2_15
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f6420,f115,f244]) ).
thf(f6496,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_22
| ~ spl2_38 ),
inference(extensionality_resolution,[],[f917,f4050]) ).
thf(f6497,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_22
| ~ spl2_38 ),
inference(extensionality_resolution,[],[f917,f4050]) ).
thf(f6499,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_22 ),
inference(extensionality_resolution,[],[f1098,f4050]) ).
thf(f6514,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f2456,f92]) ).
thf(f6517,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f6514]) ).
thf(f6521,plain,
( spl2_32
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f6517,f2455,f436]) ).
thf(f6522,plain,
( $false
| ~ spl2_5
| spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f6399,f116]) ).
thf(f6523,plain,
( ~ spl2_5
| spl2_56
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f6522]) ).
thf(f6526,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_12
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1221,f179]) ).
thf(f6535,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_12
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f6526]) ).
thf(f6538,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f6535,f47]) ).
thf(f6556,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_12
| spl2_22
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f6499,f6538]) ).
thf(f6557,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| ~ spl2_38
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f6496,f754]) ).
thf(f6561,plain,
( ~ spl2_36
| spl2_194
| ~ spl2_4
| ~ spl2_12
| spl2_22
| ~ spl2_33
| ~ spl2_47
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f6556,f757,f490,f440,f358,f178,f75,f5051,f451]) ).
thf(f6565,plain,
( spl2_168
| spl2_169 ),
inference(avatar_split_clause,[],[f6317,f4135,f4131]) ).
thf(f6567,plain,
( spl2_163
| spl2_168
| spl2_22
| ~ spl2_38
| spl2_59 ),
inference(avatar_split_clause,[],[f6557,f753,f459,f358,f4131,f4111]) ).
thf(f6568,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_22
| ~ spl2_38
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f6497,f754]) ).
thf(f6569,plain,
( spl2_168
| spl2_194
| spl2_22
| ~ spl2_38
| spl2_59 ),
inference(avatar_split_clause,[],[f6568,f753,f459,f358,f5051,f4131]) ).
thf(f6572,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_18 ),
inference(constrained_superposition,[],[f338,f27]) ).
thf(f6575,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_18 ),
inference(trivial_inequality_removal,[],[f6572]) ).
thf(f6577,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_18
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f6575,f4050]) ).
thf(f6578,plain,
( spl2_21
| spl2_18
| spl2_22 ),
inference(avatar_split_clause,[],[f6577,f358,f337,f355]) ).
thf(f6579,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_33
| ~ spl2_47 ),
inference(constrained_superposition,[],[f1193,f437]) ).
thf(f6587,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_33
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f6579]) ).
thf(f6591,plain,
( spl2_129
| ~ spl2_32
| ~ spl2_33
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f6587,f490,f440,f436,f2783]) ).
thf(f6596,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X1 ) )
| ~ spl2_21
| ~ spl2_47
| ~ spl2_54 ),
inference(constrained_superposition,[],[f2616,f356]) ).
thf(f6600,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_47
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f6596]) ).
thf(f6603,plain,
( spl2_67
| ~ spl2_21
| ~ spl2_47
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f6600,f619,f490,f355,f959]) ).
thf(f6690,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_24 ),
inference(constrained_superposition,[],[f76,f6340]) ).
thf(f6694,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f26,f6340]) ).
thf(f6697,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f209,f6340]) ).
thf(f6699,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_24 ),
inference(constrained_superposition,[],[f1314,f6340]) ).
thf(f6701,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_13
| ~ spl2_24 ),
inference(duplicate_literal_removal,[],[f6699]) ).
thf(f6702,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_13
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f6701]) ).
thf(f6706,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_4
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f6690]) ).
thf(f6709,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_24 ),
inference(duplicate_literal_removal,[],[f6697]) ).
thf(f6710,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f6709]) ).
thf(f6713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_24 ),
inference(duplicate_literal_removal,[],[f6694]) ).
thf(f6714,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f6713]) ).
thf(f6715,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_13
| spl2_21
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f6702,f2075]) ).
thf(f6718,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_4
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f6706,f49]) ).
thf(f6721,definition,
( spl2_233
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f6722,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f6721]) ).
thf(f6723,plain,
( spl2_233
| spl2_51
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f6710,f379,f580,f6721]) ).
thf(f6726,plain,
( spl2_120
| spl2_118
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f6714,f379,f2449,f2455]) ).
thf(f6727,plain,
( $false
| ~ spl2_13
| spl2_21
| spl2_22
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f6715,f4050]) ).
thf(f6728,plain,
( ~ spl2_13
| spl2_21
| spl2_22
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f6727]) ).
thf(f6732,plain,
( $false
| ~ spl2_4
| ~ spl2_24
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f6718,f754]) ).
thf(f6733,plain,
( ~ spl2_4
| ~ spl2_24
| spl2_59 ),
inference(avatar_contradiction_clause,[],[f6732]) ).
thf(f6764,definition,
( spl2_235
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_235])],[avatar_definition]) ).
thf(f6765,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_235 ),
inference(avatar_component_clause,[],[f6764]) ).
thf(f6794,definition,
( spl2_236
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f6795,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f6794]) ).
thf(f6813,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_127
| spl2_168 ),
inference(constrained_superposition,[],[f6281,f2574]) ).
thf(f6822,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_127
| spl2_168 ),
inference(trivial_inequality_removal,[],[f6813]) ).
thf(f6828,plain,
( $false
| spl2_22
| ~ spl2_127
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f6822,f4050]) ).
thf(f6829,plain,
( spl2_22
| ~ spl2_127
| spl2_168 ),
inference(avatar_contradiction_clause,[],[f6828]) ).
thf(f6835,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f434,f92]) ).
thf(f6838,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f6835]) ).
thf(f6844,plain,
( spl2_32
| ~ spl2_11
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f6838,f433,f158,f436]) ).
thf(f6942,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_54 ),
inference(constrained_superposition,[],[f408,f1151]) ).
thf(f6943,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_47 ),
inference(constrained_superposition,[],[f408,f491]) ).
thf(f6945,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_163 ),
inference(constrained_superposition,[],[f408,f4112]) ).
thf(f6946,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f6942]) ).
thf(f6947,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f6945]) ).
thf(f6949,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_25
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f6943]) ).
thf(f6952,plain,
( $false
| ~ spl2_25
| ~ spl2_33
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f6946,f441]) ).
thf(f6953,plain,
( ~ spl2_25
| ~ spl2_33
| ~ spl2_54 ),
inference(avatar_contradiction_clause,[],[f6952]) ).
thf(f6954,plain,
( $false
| ~ spl2_25
| ~ spl2_95
| ~ spl2_163 ),
inference(forward_subsumption_resolution,[],[f6947,f1994]) ).
thf(f6955,plain,
( ~ spl2_25
| ~ spl2_95
| ~ spl2_163 ),
inference(avatar_contradiction_clause,[],[f6954]) ).
thf(f6957,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_25
| ~ spl2_33
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f6949,f441]) ).
thf(f6960,plain,
( $false
| ~ spl2_25
| ~ spl2_33
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f6957,f47]) ).
thf(f6961,plain,
( ~ spl2_25
| ~ spl2_33
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f6960]) ).
thf(f7004,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_49
| ~ spl2_194 ),
inference(constrained_superposition,[],[f536,f5052]) ).
thf(f7011,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_49
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f7004]) ).
thf(f7023,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_49
| ~ spl2_194 ),
inference(constrained_superposition,[],[f7011,f5052]) ).
thf(f7026,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_49
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f7023]) ).
thf(f7033,plain,
( $false
| ~ spl2_49
| ~ spl2_54
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f7026,f1151]) ).
thf(f7034,plain,
( ~ spl2_49
| ~ spl2_54
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f7033]) ).
thf(f7067,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_129
| ~ spl2_163 ),
inference(constrained_superposition,[],[f2784,f4112]) ).
thf(f7069,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f7067]) ).
thf(f7074,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_129
| ~ spl2_163 ),
inference(forward_subsumption_resolution,[],[f7069,f47]) ).
thf(f7078,plain,
( spl2_231
| ~ spl2_129
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f7074,f4111,f2783,f6305]) ).
thf(f7082,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_231 ),
inference(constrained_superposition,[],[f6306,f4125]) ).
thf(f7086,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_166
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f7082]) ).
thf(f7097,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_220 ),
inference(constrained_superposition,[],[f5521,f4116]) ).
thf(f7104,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_164
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7097]) ).
thf(f7112,plain,
( $false
| ~ spl2_164
| ~ spl2_194
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f7104,f5052]) ).
thf(f7113,plain,
( ~ spl2_164
| ~ spl2_194
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f7112]) ).
thf(f7115,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_95
| ~ spl2_230 ),
inference(constrained_superposition,[],[f6303,f1994]) ).
thf(f7121,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_46
| ~ spl2_230 ),
inference(constrained_superposition,[],[f6303,f488]) ).
thf(f7132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_95
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f7115]) ).
thf(f7133,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_46
| ~ spl2_230 ),
inference(duplicate_literal_removal,[],[f7121]) ).
thf(f7134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_46
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f7133]) ).
thf(f7143,definition,
( spl2_240
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f7144,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f7143]) ).
thf(f7146,plain,
( spl2_108
| ~ spl2_95
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f7132,f6302,f1993,f2157]) ).
thf(f7148,definition,
( spl2_241
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f7149,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_241 ),
inference(avatar_component_clause,[],[f7148]) ).
thf(f7150,plain,
( spl2_115
| spl2_241
| ~ spl2_46
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f7134,f6302,f487,f7148,f2316]) ).
thf(f7160,plain,
( ( $true != $true )
| ~ spl2_33
| ~ spl2_115 ),
inference(constrained_superposition,[],[f2317,f441]) ).
thf(f7161,plain,
( ( $true != $true )
| ~ spl2_54
| ~ spl2_115 ),
inference(constrained_superposition,[],[f2317,f1151]) ).
thf(f7162,plain,
( ( $true != $true )
| ~ spl2_115
| ~ spl2_176 ),
inference(constrained_superposition,[],[f2317,f4499]) ).
thf(f7165,plain,
( $false
| ~ spl2_33
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f7160]) ).
thf(f7166,plain,
( ~ spl2_33
| ~ spl2_115 ),
inference(avatar_contradiction_clause,[],[f7165]) ).
thf(f7168,plain,
( $false
| ~ spl2_54
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f7161]) ).
thf(f7169,plain,
( ~ spl2_54
| ~ spl2_115 ),
inference(avatar_contradiction_clause,[],[f7168]) ).
thf(f7172,plain,
( $false
| ~ spl2_115
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f7162]) ).
thf(f7173,plain,
( ~ spl2_115
| ~ spl2_176 ),
inference(avatar_contradiction_clause,[],[f7172]) ).
thf(f7220,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f4511,f92]) ).
thf(f7223,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f7220]) ).
thf(f7229,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179
| spl2_218 ),
inference(forward_subsumption_resolution,[],[f7223,f5523]) ).
thf(f7231,definition,
( spl2_243
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f7232,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f7231]) ).
thf(f7234,definition,
( spl2_244
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_244])],[avatar_definition]) ).
thf(f7235,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_244 ),
inference(avatar_component_clause,[],[f7234]) ).
thf(f7238,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_179
| spl2_218 ),
inference(constrained_superposition,[],[f7229,f50]) ).
thf(f7241,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_179
| spl2_218 ),
inference(trivial_inequality_removal,[],[f7238]) ).
thf(f7244,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_179
| spl2_218 ),
inference(forward_subsumption_resolution,[],[f7241,f47]) ).
thf(f7248,plain,
( $false
| spl2_94
| ~ spl2_179
| spl2_218 ),
inference(forward_subsumption_resolution,[],[f7244,f5274]) ).
thf(f7249,plain,
( spl2_94
| ~ spl2_179
| spl2_218 ),
inference(avatar_contradiction_clause,[],[f7248]) ).
thf(f7252,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_244 ),
inference(constrained_superposition,[],[f7235,f50]) ).
thf(f7256,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_244 ),
inference(trivial_inequality_removal,[],[f7252]) ).
thf(f7307,definition,
( spl2_245
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f7308,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f7307]) ).
thf(f7382,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_95
| ~ spl2_188 ),
inference(constrained_superposition,[],[f4977,f1994]) ).
thf(f7397,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_95
| ~ spl2_188 ),
inference(duplicate_literal_removal,[],[f7382]) ).
thf(f7398,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_95
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f7397]) ).
thf(f7408,plain,
( spl2_68
| ~ spl2_95
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f7398,f4976,f1993,f969]) ).
thf(f7414,plain,
( ~ spl2_180
| ~ spl2_166
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f7086,f6305,f4124,f4514]) ).
thf(f7532,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_50 ),
inference(constrained_superposition,[],[f558,f356]) ).
thf(f7543,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_50 ),
inference(duplicate_literal_removal,[],[f7532]) ).
thf(f7544,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_21
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f7543]) ).
thf(f7547,plain,
( spl2_68
| ~ spl2_21
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f7544,f557,f355,f969]) ).
thf(f7549,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| spl2_244 ),
inference(forward_subsumption_resolution,[],[f7256,f4050]) ).
thf(f7552,plain,
( spl2_194
| spl2_22
| spl2_244 ),
inference(avatar_split_clause,[],[f7549,f7234,f358,f5051]) ).
thf(f7563,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X3 )
!= $true )
| ( $true != $true )
| ( sK1 = X2 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_39
| ~ spl2_47 ),
inference(constrained_superposition,[],[f882,f463]) ).
thf(f7570,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( sK1 = X2 ) )
| ~ spl2_39
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f7563]) ).
thf(f7612,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_184
| ~ spl2_206 ),
inference(constrained_superposition,[],[f4804,f5265]) ).
thf(f7659,plain,
( spl2_95
| ~ spl2_184
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f7612,f5264,f4803,f1993]) ).
thf(f7716,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f377,f93]) ).
thf(f7718,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f377,f49]) ).
thf(f7721,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f7716]) ).
thf(f7722,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f7718]) ).
thf(f7726,plain,
( spl2_17
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f7721,f376,f334]) ).
thf(f7727,plain,
( spl2_69
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f7722,f376,f973]) ).
thf(f7729,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_164 ),
inference(constrained_superposition,[],[f7570,f4116]) ).
thf(f7730,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_166 ),
inference(constrained_superposition,[],[f7570,f4125]) ).
thf(f7740,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7730]) ).
thf(f7742,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7729]) ).
thf(f7745,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_166 ),
inference(constrained_superposition,[],[f7740,f4125]) ).
thf(f7747,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7745]) ).
thf(f7750,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_164 ),
inference(constrained_superposition,[],[f7742,f4116]) ).
thf(f7751,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7750]) ).
thf(f7757,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_163
| ~ spl2_174 ),
inference(constrained_superposition,[],[f4452,f4112]) ).
thf(f7761,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_91
| ~ spl2_174 ),
inference(constrained_superposition,[],[f4452,f1887]) ).
thf(f7762,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91
| ~ spl2_174 ),
inference(duplicate_literal_removal,[],[f7761]) ).
thf(f7763,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_91
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f7762]) ).
thf(f7766,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_163
| ~ spl2_174 ),
inference(duplicate_literal_removal,[],[f7757]) ).
thf(f7767,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_163
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f7766]) ).
thf(f7771,definition,
( spl2_250
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).
thf(f7772,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_250 ),
inference(avatar_component_clause,[],[f7771]) ).
thf(f7773,plain,
( spl2_250
| spl2_95
| spl2_183
| spl2_206
| ~ spl2_91
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f7763,f4451,f1886,f5264,f4530,f1993,f7771]) ).
thf(f7775,plain,
( spl2_250
| ~ spl2_163
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f7767,f4451,f4111,f7771]) ).
thf(f7781,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_128
| spl2_180 ),
inference(constrained_superposition,[],[f5266,f2608]) ).
thf(f7800,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_128
| spl2_180 ),
inference(trivial_inequality_removal,[],[f7781]) ).
thf(f7808,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_128
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f7800,f47]) ).
thf(f7811,plain,
( spl2_191
| ~ spl2_128
| spl2_180 ),
inference(avatar_split_clause,[],[f7808,f4514,f2607,f5025]) ).
thf(f7815,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_184
| ~ spl2_199 ),
inference(constrained_superposition,[],[f5185,f4804]) ).
thf(f7822,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_184
| ~ spl2_199 ),
inference(duplicate_literal_removal,[],[f7815]) ).
thf(f7823,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_184
| ~ spl2_199 ),
inference(trivial_inequality_removal,[],[f7822]) ).
thf(f7825,plain,
( spl2_68
| ~ spl2_184
| ~ spl2_199 ),
inference(avatar_split_clause,[],[f7823,f5184,f4803,f969]) ).
thf(f7847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f119,f213]) ).
thf(f7850,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f7847]) ).
thf(f7854,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_6
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f7850,f7772]) ).
thf(f7855,plain,
( ~ spl2_18
| spl2_30
| ~ spl2_6
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f7854,f7771,f118,f427,f337]) ).
thf(f7857,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_162 ),
inference(constrained_superposition,[],[f434,f4109]) ).
thf(f7858,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_162 ),
inference(constrained_superposition,[],[f119,f4109]) ).
thf(f7875,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f7858]) ).
thf(f7876,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_31
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f7857]) ).
thf(f7883,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_6
| spl2_21
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f7875,f2075]) ).
thf(f7884,plain,
( ~ spl2_185
| ~ spl2_31
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f7876,f4108,f433,f4806]) ).
thf(f7887,plain,
( ~ spl2_185
| ~ spl2_6
| spl2_21
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f7883,f4108,f355,f118,f4806]) ).
thf(f7891,plain,
( ( $true != $true )
| ~ spl2_30
| spl2_184 ),
inference(constrained_superposition,[],[f5272,f428]) ).
thf(f7902,plain,
( $false
| ~ spl2_30
| spl2_184 ),
inference(trivial_inequality_removal,[],[f7891]) ).
thf(f7903,plain,
( ~ spl2_30
| spl2_184 ),
inference(avatar_contradiction_clause,[],[f7902]) ).
thf(f7936,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_235 ),
inference(constrained_superposition,[],[f6765,f92]) ).
thf(f7941,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_235 ),
inference(trivial_inequality_removal,[],[f7936]) ).
thf(f7945,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_94
| ~ spl2_235 ),
inference(forward_subsumption_resolution,[],[f7941,f5274]) ).
thf(f7946,plain,
( ~ spl2_45
| spl2_94
| ~ spl2_235 ),
inference(avatar_split_clause,[],[f7945,f6764,f1990,f483]) ).
thf(f7948,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_176
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f4499]) ).
thf(f7949,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f463]) ).
thf(f7950,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_47
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f491]) ).
thf(f7951,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f4116]) ).
thf(f7952,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f7950]) ).
thf(f7954,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_164
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f7951]) ).
thf(f7955,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_176
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f7948]) ).
thf(f7956,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f7949]) ).
thf(f7957,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f7952,f47]) ).
thf(f7962,plain,
( $false
| ~ spl2_30
| ~ spl2_164
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f7954,f428]) ).
thf(f7963,plain,
( ~ spl2_30
| ~ spl2_164
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f7962]) ).
thf(f7964,plain,
( $false
| ~ spl2_33
| ~ spl2_176
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f7955,f441]) ).
thf(f7965,plain,
( ~ spl2_33
| ~ spl2_176
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f7964]) ).
thf(f7966,plain,
( $false
| ~ spl2_33
| ~ spl2_39
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f7956,f441]) ).
thf(f7967,plain,
( ~ spl2_33
| ~ spl2_39
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f7966]) ).
thf(f7968,plain,
( $false
| ~ spl2_33
| ~ spl2_47
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f7957,f441]) ).
thf(f7969,plain,
( ~ spl2_33
| ~ spl2_47
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f7968]) ).
thf(f7978,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2450,f213]) ).
thf(f7981,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2450,f49]) ).
thf(f7983,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2450,f27]) ).
thf(f7984,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f7983]) ).
thf(f7985,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f7978]) ).
thf(f7987,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f7981]) ).
thf(f7990,plain,
( spl2_51
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f7984,f2449,f580]) ).
thf(f7991,plain,
( spl2_20
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f7985,f2449,f344]) ).
thf(f7992,plain,
( $false
| spl2_59
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f7987,f754]) ).
thf(f7993,plain,
( spl2_59
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f7992]) ).
thf(f7996,plain,
( ( $true != $true )
| ~ spl2_12
| spl2_94 ),
inference(constrained_superposition,[],[f5274,f179]) ).
thf(f7997,plain,
( ( $true != $true )
| ~ spl2_12
| spl2_218 ),
inference(constrained_superposition,[],[f5523,f179]) ).
thf(f8001,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_231 ),
inference(constrained_superposition,[],[f6306,f179]) ).
thf(f8004,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5033,f179]) ).
thf(f8010,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60 ),
inference(constrained_superposition,[],[f1596,f179]) ).
thf(f8013,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_12
| ~ spl2_245 ),
inference(constrained_superposition,[],[f7308,f179]) ).
thf(f8020,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f8001]) ).
thf(f8022,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f8004]) ).
thf(f8024,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f8013]) ).
thf(f8028,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f8010]) ).
thf(f8029,plain,
( $false
| ~ spl2_12
| spl2_218 ),
inference(trivial_inequality_removal,[],[f7997]) ).
thf(f8030,plain,
( ~ spl2_12
| spl2_218 ),
inference(avatar_contradiction_clause,[],[f8029]) ).
thf(f8036,plain,
( $false
| ~ spl2_12
| spl2_94 ),
inference(trivial_inequality_removal,[],[f7996]) ).
thf(f8037,plain,
( ~ spl2_12
| spl2_94 ),
inference(avatar_contradiction_clause,[],[f8036]) ).
thf(f8039,plain,
( $false
| ~ spl2_12
| ~ spl2_60
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f8020,f758]) ).
thf(f8040,plain,
( ~ spl2_12
| ~ spl2_60
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f8039]) ).
thf(f8043,plain,
( $false
| ~ spl2_12
| ~ spl2_60
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f8022,f758]) ).
thf(f8044,plain,
( ~ spl2_12
| ~ spl2_60
| ~ spl2_193 ),
inference(avatar_contradiction_clause,[],[f8043]) ).
thf(f8046,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f8028,f47]) ).
thf(f8048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f7747,f47]) ).
thf(f8050,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_39
| ~ spl2_47
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f7751,f47]) ).
thf(f8051,plain,
( spl2_193
| ~ spl2_39
| ~ spl2_47
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f8048,f4124,f490,f462,f5032]) ).
thf(f8053,plain,
( spl2_231
| ~ spl2_39
| ~ spl2_47
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f8050,f4115,f490,f462,f6305]) ).
thf(f8255,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5450,f93]) ).
thf(f8257,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5450,f49]) ).
thf(f8260,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f8255]) ).
thf(f8261,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f8257]) ).
thf(f8265,plain,
( spl2_95
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f8260,f5449,f1993]) ).
thf(f8266,plain,
( $false
| spl2_168
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f8261,f6281]) ).
thf(f8267,plain,
( spl2_168
| ~ spl2_214 ),
inference(avatar_contradiction_clause,[],[f8266]) ).
thf(f8467,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_216 ),
inference(constrained_superposition,[],[f5458,f27]) ).
thf(f8469,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_216 ),
inference(trivial_inequality_removal,[],[f8467]) ).
thf(f8472,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_216 ),
inference(forward_subsumption_resolution,[],[f8469,f47]) ).
thf(f8474,plain,
( $false
| spl2_180
| spl2_216 ),
inference(forward_subsumption_resolution,[],[f8472,f5266]) ).
thf(f8475,plain,
( spl2_180
| spl2_216 ),
inference(avatar_contradiction_clause,[],[f8474]) ).
thf(f9500,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_86
| ~ spl2_243 ),
inference(constrained_superposition,[],[f1808,f7232]) ).
thf(f9503,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(constrained_superposition,[],[f8046,f7232]) ).
thf(f9510,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f9503]) ).
thf(f9513,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_86
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f9500]) ).
thf(f9516,definition,
( spl2_254
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_254])],[avatar_definition]) ).
thf(f9517,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_254 ),
inference(avatar_component_clause,[],[f9516]) ).
thf(f9521,plain,
( ~ spl2_204
| ~ spl2_86
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f9513,f7231,f1807,f5256]) ).
thf(f9525,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(constrained_superposition,[],[f9510,f179]) ).
thf(f9529,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f9525]) ).
thf(f9536,plain,
( $false
| ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f9529,f47]) ).
thf(f9537,plain,
( ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f9536]) ).
thf(f9545,plain,
( $false
| ~ spl2_12
| ~ spl2_168
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f4132,f8024]) ).
thf(f9546,plain,
( ~ spl2_12
| ~ spl2_168
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f9545]) ).
thf(f9568,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_56 ),
inference(constrained_superposition,[],[f140,f1986]) ).
thf(f9575,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f9568]) ).
thf(f9578,plain,
( $false
| ~ spl2_8
| ~ spl2_56
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f9575,f758]) ).
thf(f9579,plain,
( ~ spl2_8
| ~ spl2_56
| ~ spl2_60 ),
inference(avatar_contradiction_clause,[],[f9578]) ).
thf(f9582,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_182
| ~ spl2_243 ),
inference(constrained_superposition,[],[f7232,f4528]) ).
thf(f9591,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f213,f4528]) ).
thf(f9617,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_24
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f9591,f380]) ).
thf(f9618,plain,
( $false
| spl2_21
| ~ spl2_182
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f9582,f2075]) ).
thf(f9619,plain,
( spl2_21
| ~ spl2_182
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f9618]) ).
thf(f9623,plain,
( spl2_119
| spl2_24
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f9617,f4527,f379,f2452]) ).
thf(f9637,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_119
| ~ spl2_121 ),
inference(constrained_superposition,[],[f2483,f2453]) ).
thf(f9642,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_119
| ~ spl2_121 ),
inference(duplicate_literal_removal,[],[f9637]) ).
thf(f9643,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_119
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f9642]) ).
thf(f9645,plain,
( spl2_250
| ~ spl2_119
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f9643,f2482,f2452,f7771]) ).
thf(f9692,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f4519,f213]) ).
thf(f9693,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f9692]) ).
thf(f9699,plain,
( spl2_194
| ~ spl2_18
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f9693,f4518,f337,f5051]) ).
thf(f9745,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_49
| ~ spl2_243 ),
inference(constrained_superposition,[],[f536,f7232]) ).
thf(f9747,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_49
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f9745]) ).
thf(f9753,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_49
| ~ spl2_243 ),
inference(constrained_superposition,[],[f9747,f7232]) ).
thf(f9757,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_49
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f9753]) ).
thf(f9763,plain,
( $false
| ~ spl2_49
| ~ spl2_54
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f9757,f1151]) ).
thf(f9764,plain,
( ~ spl2_49
| ~ spl2_54
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f9763]) ).
thf(f9767,plain,
( $false
| ~ spl2_39
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f620,f463]) ).
thf(f9768,plain,
( ~ spl2_39
| spl2_54 ),
inference(avatar_contradiction_clause,[],[f9767]) ).
thf(f9792,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_168
| ~ spl2_230 ),
inference(constrained_superposition,[],[f6303,f4132]) ).
thf(f9795,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_168
| ~ spl2_230 ),
inference(duplicate_literal_removal,[],[f9792]) ).
thf(f9796,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_168
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f9795]) ).
thf(f9798,plain,
( spl2_115
| ~ spl2_168
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f9796,f6302,f4131,f2316]) ).
thf(f9807,plain,
( $false
| ~ spl2_115
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f5260,f2317]) ).
thf(f9808,plain,
( ~ spl2_115
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f9807]) ).
thf(f9810,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_37 ),
inference(constrained_superposition,[],[f456,f27]) ).
thf(f9812,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_37 ),
inference(trivial_inequality_removal,[],[f9810]) ).
thf(f9815,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_37
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f9812,f2317]) ).
thf(f9816,plain,
( $false
| spl2_37
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f9815,f47]) ).
thf(f9817,plain,
( spl2_37
| ~ spl2_115 ),
inference(avatar_contradiction_clause,[],[f9816]) ).
thf(f9834,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_67
| ~ spl2_184 ),
inference(constrained_superposition,[],[f960,f4804]) ).
thf(f9836,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_67
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9834]) ).
thf(f9838,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_67
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f9836,f47]) ).
thf(f9840,plain,
( spl2_193
| ~ spl2_67
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f9838,f4803,f959,f5032]) ).
thf(f9841,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f330,f4119]) ).
thf(f9849,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f9841]) ).
thf(f9866,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_98
| ~ spl2_168 ),
inference(constrained_superposition,[],[f2006,f4132]) ).
thf(f9869,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_98
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f9866]) ).
thf(f9872,plain,
( spl2_245
| ~ spl2_98
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f9869,f4131,f2005,f7307]) ).
thf(f9873,plain,
( $false
| ~ spl2_167
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f4128,f4496]) ).
thf(f9874,plain,
( ~ spl2_167
| ~ spl2_175 ),
inference(avatar_contradiction_clause,[],[f9873]) ).
thf(f9875,plain,
( $false
| ~ spl2_243
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f7232,f7772]) ).
thf(f9876,plain,
( ~ spl2_243
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f9875]) ).
thf(f9877,plain,
( $false
| ~ spl2_194
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f5052,f7772]) ).
thf(f9878,plain,
( ~ spl2_194
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f9877]) ).
thf(f9884,plain,
( ~ spl2_162
| spl2_243
| spl2_175
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f9849,f4118,f4495,f7231,f4108]) ).
thf(f9902,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_45 ),
inference(constrained_superposition,[],[f484,f27]) ).
thf(f9903,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45 ),
inference(trivial_inequality_removal,[],[f9902]) ).
thf(f9935,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_95 ),
inference(constrained_superposition,[],[f140,f1994]) ).
thf(f9939,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f9935]) ).
thf(f9941,plain,
( $false
| ~ spl2_8
| ~ spl2_95
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f9939,f4132]) ).
thf(f9942,plain,
( ~ spl2_8
| ~ spl2_95
| ~ spl2_168 ),
inference(avatar_contradiction_clause,[],[f9941]) ).
thf(f9998,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f25,f5052]) ).
thf(f9999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f9998]) ).
thf(f10001,plain,
( spl2_197
| spl2_173
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f9999,f5051,f4448,f5173]) ).
thf(f10035,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_243 ),
inference(constrained_superposition,[],[f5182,f7232]) ).
thf(f10037,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f10035]) ).
thf(f10039,plain,
( $false
| ~ spl2_21
| ~ spl2_198
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f10037,f356]) ).
thf(f10040,plain,
( ~ spl2_21
| ~ spl2_198
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f10039]) ).
thf(f10075,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f4116]) ).
thf(f10077,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_164
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f10075]) ).
thf(f10079,plain,
( $false
| ~ spl2_95
| ~ spl2_164
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f10077,f1994]) ).
thf(f10080,plain,
( ~ spl2_95
| ~ spl2_164
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f10079]) ).
thf(f10097,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f100,f4119]) ).
thf(f10105,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f10097]) ).
thf(f10110,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_94
| ~ spl2_165 ),
inference(forward_subsumption_resolution,[],[f10105,f5274]) ).
thf(f10113,plain,
( spl2_181
| spl2_94
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f10110,f4118,f1990,f4518]) ).
thf(f10133,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_97
| ~ spl2_194 ),
inference(constrained_superposition,[],[f2003,f5052]) ).
thf(f10136,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f10133]) ).
thf(f10139,plain,
( $false
| ~ spl2_21
| ~ spl2_97
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f10136,f356]) ).
thf(f10140,plain,
( ~ spl2_21
| ~ spl2_97
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f10139]) ).
thf(f10156,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_181 ),
inference(constrained_superposition,[],[f4519,f4128]) ).
thf(f10157,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f10156]) ).
thf(f10166,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_167
| ~ spl2_181 ),
inference(constrained_superposition,[],[f10157,f27]) ).
thf(f10168,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_167
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f10166]) ).
thf(f10171,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_167
| ~ spl2_181
| spl2_184 ),
inference(forward_subsumption_resolution,[],[f10168,f5272]) ).
thf(f10176,plain,
( spl2_182
| ~ spl2_167
| ~ spl2_181
| spl2_184 ),
inference(avatar_split_clause,[],[f10171,f4803,f4518,f4127,f4527]) ).
thf(f10184,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_164
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5033,f4116]) ).
thf(f10187,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_164
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10184]) ).
thf(f10192,plain,
( $false
| ~ spl2_164
| ~ spl2_168
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f10187,f4132]) ).
thf(f10193,plain,
( ~ spl2_164
| ~ spl2_168
| ~ spl2_193 ),
inference(avatar_contradiction_clause,[],[f10192]) ).
thf(f10198,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_133 ),
inference(constrained_superposition,[],[f2844,f437]) ).
thf(f10199,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f10198]) ).
thf(f10207,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_60 ),
inference(constrained_superposition,[],[f144,f758]) ).
thf(f10210,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_60 ),
inference(duplicate_literal_removal,[],[f10207]) ).
thf(f10211,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_9
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f10210]) ).
thf(f10214,plain,
( spl2_115
| ~ spl2_9
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f10211,f757,f143,f2316]) ).
thf(f10217,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_21 ),
inference(constrained_superposition,[],[f140,f356]) ).
thf(f10219,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f10217]) ).
thf(f10249,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f4511,f48]) ).
thf(f10255,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f10249]) ).
thf(f10276,definition,
( spl2_265
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f10277,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_265 ),
inference(avatar_component_clause,[],[f10276]) ).
thf(f10278,plain,
( spl2_176
| ~ spl2_265
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f10255,f4510,f10276,f4498]) ).
thf(f10279,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_265 ),
inference(constrained_superposition,[],[f10277,f48]) ).
thf(f10282,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_265 ),
inference(trivial_inequality_removal,[],[f10279]) ).
thf(f10307,plain,
( ~ spl2_33
| ~ spl2_32
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f10199,f2843,f436,f440]) ).
thf(f10326,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_95 ),
inference(avatar_component_clause,[],[f1993]) ).
thf(f10356,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_164
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5174,f4116]) ).
thf(f10359,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_164
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f10356]) ).
thf(f10362,plain,
( spl2_220
| ~ spl2_164
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f10359,f5173,f4115,f5520]) ).
thf(f10365,plain,
( ~ spl2_59
| ~ spl2_8
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f10219,f355,f139,f753]) ).
thf(f10369,plain,
( spl2_205
| spl2_265 ),
inference(avatar_split_clause,[],[f10282,f10276,f5259]) ).
thf(f10449,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f345]) ).
thf(f10454,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f10449]) ).
thf(f10457,plain,
( $false
| ~ spl2_20
| ~ spl2_21
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f10454,f356]) ).
thf(f10458,plain,
( ~ spl2_20
| ~ spl2_21
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f10457]) ).
thf(f10461,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f9903,f4050]) ).
thf(f10465,plain,
( spl2_32
| spl2_22
| spl2_45 ),
inference(avatar_split_clause,[],[f10461,f483,f358,f436]) ).
thf(f10527,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f434,f27]) ).
thf(f10528,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f434,f48]) ).
thf(f10529,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f434,f50]) ).
thf(f10533,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f10528]) ).
thf(f10534,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f10529]) ).
thf(f10535,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f10527]) ).
thf(f10595,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_205 ),
inference(constrained_superposition,[],[f2003,f5260]) ).
thf(f10598,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f10595]) ).
thf(f10602,plain,
( $false
| ~ spl2_33
| ~ spl2_97
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f10598,f441]) ).
thf(f10603,plain,
( ~ spl2_33
| ~ spl2_97
| ~ spl2_205 ),
inference(avatar_contradiction_clause,[],[f10602]) ).
thf(f10604,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_37 ),
inference(constrained_superposition,[],[f456,f48]) ).
thf(f10606,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_37 ),
inference(trivial_inequality_removal,[],[f10604]) ).
thf(f10609,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5033,f345]) ).
thf(f10613,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_20
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10609]) ).
thf(f10616,plain,
( $false
| ~ spl2_20
| ~ spl2_59
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f10613,f967]) ).
thf(f10617,plain,
( ~ spl2_20
| ~ spl2_59
| ~ spl2_193 ),
inference(avatar_contradiction_clause,[],[f10616]) ).
thf(f10621,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| ~ spl2_173 ),
inference(constrained_superposition,[],[f4449,f1991]) ).
thf(f10623,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f10621]) ).
thf(f10628,plain,
( ~ spl2_32
| ~ spl2_94
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f10623,f4448,f1990,f436]) ).
thf(f10630,plain,
( spl2_54
| spl2_37 ),
inference(avatar_split_clause,[],[f10606,f455,f619]) ).
thf(f10631,plain,
( spl2_54
| ~ spl2_40
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f10533,f433,f466,f619]) ).
thf(f10640,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12
| ~ spl2_173 ),
inference(constrained_superposition,[],[f4449,f179]) ).
thf(f10645,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f10640]) ).
thf(f10646,plain,
( $false
| ~ spl2_12
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f10645,f179]) ).
thf(f10647,plain,
( ~ spl2_12
| ~ spl2_173 ),
inference(avatar_contradiction_clause,[],[f10646]) ).
thf(f10652,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_205 ),
inference(constrained_superposition,[],[f4449,f5260]) ).
thf(f10654,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f10652]) ).
thf(f10679,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_184 ),
inference(constrained_superposition,[],[f140,f4804]) ).
thf(f10681,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f10679]) ).
thf(f10686,plain,
( ~ spl2_180
| ~ spl2_8
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f10681,f4803,f139,f4514]) ).
thf(f10687,plain,
( ~ spl2_54
| ~ spl2_173
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f10654,f5259,f4448,f619]) ).
thf(f10742,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_48
| ~ spl2_59 ),
inference(constrained_superposition,[],[f530,f967]) ).
thf(f10745,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_48
| ~ spl2_59 ),
inference(duplicate_literal_removal,[],[f10742]) ).
thf(f10746,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_48
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f10745]) ).
thf(f10747,plain,
( spl2_115
| ~ spl2_48
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f10746,f753,f529,f2316]) ).
thf(f10755,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_49
| ~ spl2_59 ),
inference(constrained_superposition,[],[f536,f967]) ).
thf(f10757,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_49
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f10755]) ).
thf(f10759,plain,
( spl2_7
| ~ spl2_49
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f10757,f753,f535,f136]) ).
thf(f10802,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f119,f92]) ).
thf(f10804,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f119,f213]) ).
thf(f10807,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f10802]) ).
thf(f10808,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f10804]) ).
thf(f10811,plain,
( ~ spl2_18
| spl2_17
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f10808,f118,f334,f337]) ).
thf(f10821,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184
| ~ spl2_200 ),
inference(constrained_superposition,[],[f5220,f4804]) ).
thf(f10823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_184
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f10821]) ).
thf(f10826,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_164
| ~ spl2_184
| ~ spl2_200 ),
inference(constrained_superposition,[],[f10823,f4116]) ).
thf(f10830,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_164
| ~ spl2_184
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f10826]) ).
thf(f10832,plain,
( $false
| ~ spl2_164
| ~ spl2_184
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f10830,f4804]) ).
thf(f10833,plain,
( ~ spl2_164
| ~ spl2_184
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f10832]) ).
thf(f10841,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_166
| ~ spl2_203 ),
inference(constrained_superposition,[],[f5253,f4125]) ).
thf(f10844,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_166
| ~ spl2_203 ),
inference(duplicate_literal_removal,[],[f10841]) ).
thf(f10845,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_166
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f10844]) ).
thf(f10848,plain,
( ( $true != $true )
| ~ spl2_164
| ~ spl2_166
| ~ spl2_203 ),
inference(constrained_superposition,[],[f10845,f4116]) ).
thf(f10854,plain,
( $false
| ~ spl2_164
| ~ spl2_166
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f10848]) ).
thf(f10855,plain,
( ~ spl2_164
| ~ spl2_166
| ~ spl2_203 ),
inference(avatar_contradiction_clause,[],[f10854]) ).
thf(f10934,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_76
| spl2_95 ),
inference(constrained_superposition,[],[f10326,f1187]) ).
thf(f10937,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_76
| spl2_95 ),
inference(trivial_inequality_removal,[],[f10934]) ).
thf(f10940,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_76
| spl2_95
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f10937,f6281]) ).
thf(f10941,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_76
| spl2_95
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f10940,f47]) ).
thf(f10942,plain,
( spl2_183
| ~ spl2_76
| spl2_95
| spl2_168 ),
inference(avatar_split_clause,[],[f10941,f4131,f1993,f1186,f4530]) ).
thf(f10971,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f460,f27]) ).
thf(f10972,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( sK1 = X1 ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f460,f49]) ).
thf(f10973,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f10971]) ).
thf(f10974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f10972]) ).
thf(f10987,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f10973,f50]) ).
thf(f10995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f10987]) ).
thf(f10998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1
= ( sK0 @ X1 ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f10995,f47]) ).
thf(f11000,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f10998,f47]) ).
thf(f11022,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_201 ),
inference(constrained_superposition,[],[f5223,f2169]) ).
thf(f11029,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f11022]) ).
thf(f11036,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_110
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f11029,f47]) ).
thf(f11037,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| spl2_180
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f11036,f5266]) ).
thf(f11038,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_194 ),
inference(avatar_component_clause,[],[f5051]) ).
thf(f11039,plain,
( ~ spl2_194
| spl2_191
| ~ spl2_110
| spl2_180
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f11037,f5222,f4514,f2168,f5025,f5051]) ).
thf(f11049,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| spl2_204 ),
inference(constrained_superposition,[],[f5257,f4507]) ).
thf(f11061,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| spl2_204 ),
inference(trivial_inequality_removal,[],[f11049]) ).
thf(f11069,plain,
( spl2_191
| ~ spl2_178
| spl2_204 ),
inference(avatar_split_clause,[],[f11061,f5256,f4506,f5025]) ).
thf(f11070,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_176 ),
inference(avatar_component_clause,[],[f4498]) ).
thf(f11079,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f10535,f27]) ).
thf(f11084,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f11079]) ).
thf(f11087,plain,
( spl2_91
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f11084,f433,f1886]) ).
thf(f11102,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| spl2_32 ),
inference(constrained_superposition,[],[f1724,f156]) ).
thf(f11127,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| spl2_32 ),
inference(trivial_inequality_removal,[],[f11102]) ).
thf(f11132,plain,
( $false
| ~ spl2_10
| spl2_21
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f11127,f2075]) ).
thf(f11133,plain,
( ~ spl2_10
| spl2_21
| spl2_32 ),
inference(avatar_contradiction_clause,[],[f11132]) ).
thf(f11138,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f10534,f50]) ).
thf(f11142,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f11138]) ).
thf(f11159,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f182,f48]) ).
thf(f11165,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f11159]) ).
thf(f11172,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_31 ),
inference(constrained_superposition,[],[f415,f11142]) ).
thf(f11175,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_27
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f11172]) ).
thf(f11178,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8
| ~ spl2_27
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f11175,f140]) ).
thf(f11181,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X2 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_8
| ~ spl2_27
| ~ spl2_31 ),
inference(constrained_superposition,[],[f11178,f238]) ).
thf(f11183,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X2 )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X2 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_8
| ~ spl2_27
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f11181]) ).
thf(f11186,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X2 )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X2 ) )
| ~ spl2_8
| ~ spl2_27
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f11183,f47]) ).
thf(f11189,definition,
( spl2_268
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ X0 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f11190,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f11189]) ).
thf(f11191,plain,
( spl2_268
| spl2_47
| ~ spl2_8
| ~ spl2_27
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f11186,f433,f414,f139,f490,f11189]) ).
thf(f11199,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_173
| ~ spl2_268 ),
inference(constrained_superposition,[],[f4449,f11190]) ).
thf(f11201,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_198
| ~ spl2_268 ),
inference(constrained_superposition,[],[f5182,f11190]) ).
thf(f11206,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_173
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f11199]) ).
thf(f11208,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_198
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f11201]) ).
thf(f11217,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_27
| ~ spl2_173
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f11206,f415]) ).
thf(f11218,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_8
| ~ spl2_198
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f11208,f140]) ).
thf(f11222,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_22
| ~ spl2_27
| ~ spl2_173
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f11217,f4050]) ).
thf(f11223,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_198
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f11218,f47]) ).
thf(f11229,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| spl2_22
| ~ spl2_27
| ~ spl2_173
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f11222,f47]) ).
thf(f11231,definition,
( spl2_270
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).
thf(f11232,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f11231]) ).
thf(f11233,plain,
( spl2_270
| spl2_183
| ~ spl2_8
| ~ spl2_198
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f11223,f11189,f5181,f139,f4530,f11231]) ).
thf(f11235,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268 ),
inference(constrained_superposition,[],[f11229,f11142]) ).
thf(f11236,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f11235]) ).
thf(f11238,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f11236,f47]) ).
thf(f11249,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270 ),
inference(constrained_superposition,[],[f11232,f11238]) ).
thf(f11252,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f11249]) ).
thf(f11255,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f11252,f47]) ).
thf(f11360,definition,
( spl2_274
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f11361,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_274 ),
inference(avatar_component_clause,[],[f11360]) ).
thf(f11366,definition,
( spl2_275
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f11367,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_275 ),
inference(avatar_component_clause,[],[f11366]) ).
thf(f11379,definition,
( spl2_276
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_276])],[avatar_definition]) ).
thf(f11380,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_276 ),
inference(avatar_component_clause,[],[f11379]) ).
thf(f11382,definition,
( spl2_277
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).
thf(f11383,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f11382]) ).
thf(f11386,definition,
( spl2_278
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f11387,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f11386]) ).
thf(f11389,definition,
( spl2_279
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f11390,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f11389]) ).
thf(f11400,definition,
( spl2_282
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).
thf(f11401,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_282 ),
inference(avatar_component_clause,[],[f11400]) ).
thf(f11403,definition,
( spl2_283
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f11404,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f11403]) ).
thf(f11407,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_275 ),
inference(constrained_superposition,[],[f11367,f93]) ).
thf(f11409,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_275 ),
inference(constrained_superposition,[],[f11367,f27]) ).
thf(f11411,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_275 ),
inference(trivial_inequality_removal,[],[f11409]) ).
thf(f11412,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_275 ),
inference(trivial_inequality_removal,[],[f11407]) ).
thf(f11551,definition,
( spl2_284
<=> ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).
thf(f11552,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f11551]) ).
thf(f11571,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_276 ),
inference(constrained_superposition,[],[f11380,f11255]) ).
thf(f11580,definition,
( spl2_285
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f11581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f11580]) ).
thf(f11583,definition,
( spl2_286
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).
thf(f11584,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f11583]) ).
thf(f11586,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_276 ),
inference(forward_subsumption_resolution,[],[f11571,f47]) ).
thf(f11588,definition,
( spl2_287
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f11589,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f11588]) ).
thf(f11591,definition,
( spl2_288
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f11592,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f11591]) ).
thf(f11593,plain,
( spl2_182
| spl2_287
| spl2_288
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f11586,f11379,f11231,f11189,f4448,f433,f414,f358,f11591,f11588,f4527]) ).
thf(f11611,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f41,f11589]) ).
thf(f11648,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287 ),
inference(equality_resolution,[],[f11611]) ).
thf(f11654,plain,
( spl2_191
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f11648,f11588,f5025]) ).
thf(f11657,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f330,f11383]) ).
thf(f11660,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f56,f11383]) ).
thf(f11662,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_277 ),
inference(constrained_superposition,[],[f10974,f11383]) ).
thf(f11668,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f11660]) ).
thf(f11669,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f11657]) ).
thf(f11676,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f11662]) ).
thf(f11680,definition,
( spl2_290
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f11681,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f11680]) ).
thf(f11683,definition,
( spl2_291
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_291])],[avatar_definition]) ).
thf(f11684,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f11683]) ).
thf(f11685,plain,
( spl2_290
| ~ spl2_216
| spl2_291
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f11668,f11382,f11683,f5457,f11680]) ).
thf(f11688,definition,
( spl2_292
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f11689,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_292 ),
inference(avatar_component_clause,[],[f11688]) ).
thf(f11691,definition,
( spl2_293
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f11692,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f11691]) ).
thf(f11693,plain,
( ~ spl2_292
| spl2_291
| spl2_293
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f11669,f11382,f11691,f11683,f11688]) ).
thf(f11696,definition,
( spl2_294
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).
thf(f11697,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f11696]) ).
thf(f11700,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f11676,f47]) ).
thf(f11702,definition,
( spl2_295
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).
thf(f11703,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f11702]) ).
thf(f11709,definition,
( spl2_297
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_297])],[avatar_definition]) ).
thf(f11710,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) )
| ~ spl2_297 ),
inference(avatar_component_clause,[],[f11709]) ).
thf(f11718,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| spl2_180
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f11700,f5266]) ).
thf(f11720,plain,
( spl2_294
| ~ spl2_38
| spl2_180
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f11718,f11382,f4514,f459,f11696]) ).
thf(f11723,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_198
| ~ spl2_288 ),
inference(constrained_superposition,[],[f5182,f11592]) ).
thf(f11732,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_198
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f11723]) ).
thf(f11742,plain,
( $false
| ~ spl2_184
| ~ spl2_198
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f11732,f4804]) ).
thf(f11743,plain,
( ~ spl2_184
| ~ spl2_198
| ~ spl2_288 ),
inference(avatar_contradiction_clause,[],[f11742]) ).
thf(f11756,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_291 ),
inference(constrained_superposition,[],[f11684,f11255]) ).
thf(f11761,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f11684,f27]) ).
thf(f11766,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f11761]) ).
thf(f11767,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f11756,f47]) ).
thf(f11769,plain,
( spl2_297
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f11766,f11683,f11709]) ).
thf(f11770,plain,
( spl2_182
| spl2_175
| spl2_287
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f11767,f11683,f11231,f11189,f4448,f433,f414,f358,f11588,f4495,f4527]) ).
thf(f11772,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_290 ),
inference(constrained_superposition,[],[f11681,f11255]) ).
thf(f11780,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| ~ spl2_268
| ~ spl2_270
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f11772,f47]) ).
thf(f11782,definition,
( spl2_301
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).
thf(f11783,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_301 ),
inference(avatar_component_clause,[],[f11782]) ).
thf(f11785,definition,
( spl2_302
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f11786,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f11785]) ).
thf(f11789,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_176
| ~ spl2_268
| ~ spl2_270
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f11780,f11070]) ).
thf(f11791,definition,
( spl2_303
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f11792,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f11791]) ).
thf(f11794,plain,
( spl2_287
| spl2_182
| spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_176
| ~ spl2_268
| ~ spl2_270
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f11789,f11680,f11231,f11189,f4498,f4448,f433,f414,f358,f4527,f11588]) ).
thf(f11798,plain,
( spl2_184
| spl2_275 ),
inference(avatar_split_clause,[],[f11412,f11366,f4803]) ).
thf(f11803,plain,
( spl2_184
| spl2_182
| spl2_275 ),
inference(avatar_split_clause,[],[f11411,f11366,f4527,f4803]) ).
thf(f11888,definition,
( spl2_304
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_304])],[avatar_definition]) ).
thf(f11889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f11888]) ).
thf(f11906,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_84
| ~ spl2_243 ),
inference(constrained_superposition,[],[f1796,f7232]) ).
thf(f11907,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_243 ),
inference(constrained_superposition,[],[f25,f7232]) ).
thf(f11909,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f11907]) ).
thf(f11910,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_84
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f11906]) ).
thf(f11911,plain,
( spl2_189
| spl2_254
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f11909,f7231,f9516,f5016]) ).
thf(f11912,plain,
( $false
| ~ spl2_84
| ~ spl2_180
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f11910,f4515]) ).
thf(f11913,plain,
( ~ spl2_84
| ~ spl2_180
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f11912]) ).
thf(f11914,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_292 ),
inference(constrained_superposition,[],[f11689,f90]) ).
thf(f11917,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_292 ),
inference(trivial_inequality_removal,[],[f11914]) ).
thf(f11920,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_292 ),
inference(forward_subsumption_resolution,[],[f11917,f47]) ).
thf(f11921,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_204 ),
inference(avatar_component_clause,[],[f5256]) ).
thf(f11924,plain,
( spl2_204
| spl2_292 ),
inference(avatar_split_clause,[],[f11920,f11688,f5256]) ).
thf(f11928,definition,
( spl2_305
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f11929,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f11928]) ).
thf(f11956,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_167 ),
inference(constrained_superposition,[],[f119,f4128]) ).
thf(f11975,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f11956]) ).
thf(f12037,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_217 ),
inference(constrained_superposition,[],[f5464,f213]) ).
thf(f12045,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f12037]) ).
thf(f12047,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_277 ),
inference(constrained_superposition,[],[f119,f11383]) ).
thf(f12061,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f12047]) ).
thf(f12070,plain,
( spl2_303
| ~ spl2_275
| ~ spl2_6
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f12061,f11382,f118,f11366,f11791]) ).
thf(f12071,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_303 ),
inference(constrained_superposition,[],[f140,f11792]) ).
thf(f12074,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f12071]) ).
thf(f12076,definition,
( spl2_308
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f12077,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f12076]) ).
thf(f12079,definition,
( spl2_309
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f12080,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f12079]) ).
thf(f12101,definition,
( spl2_311
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_311])],[avatar_definition]) ).
thf(f12102,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_311 ),
inference(avatar_component_clause,[],[f12101]) ).
thf(f12109,definition,
( spl2_312
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f12110,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f12109]) ).
thf(f12122,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_282 ),
inference(constrained_superposition,[],[f26,f11401]) ).
thf(f12130,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f12122]) ).
thf(f12140,plain,
( spl2_295
| spl2_175
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f12130,f11400,f4495,f11702]) ).
thf(f12145,definition,
( spl2_315
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).
thf(f12146,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_315 ),
inference(avatar_component_clause,[],[f12145]) ).
thf(f12206,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f4511,f213]) ).
thf(f12207,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_165
| ~ spl2_179 ),
inference(constrained_superposition,[],[f4511,f4119]) ).
thf(f12208,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_165
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f12207]) ).
thf(f12209,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f12206]) ).
thf(f12224,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5030,f4515]) ).
thf(f12233,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_180
| ~ spl2_192 ),
inference(duplicate_literal_removal,[],[f12224]) ).
thf(f12234,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_180
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12233]) ).
thf(f12242,plain,
( spl2_115
| ~ spl2_180
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f12234,f5029,f4514,f2316]) ).
thf(f12263,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_180
| ~ spl2_202 ),
inference(constrained_superposition,[],[f5236,f4515]) ).
thf(f12273,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_180
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f12263]) ).
thf(f12279,plain,
( spl2_7
| ~ spl2_180
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f12273,f5235,f4514,f136]) ).
thf(f12320,definition,
( spl2_321
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f12321,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_321 ),
inference(avatar_component_clause,[],[f12320]) ).
thf(f12375,definition,
( spl2_327
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_327])],[avatar_definition]) ).
thf(f12376,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f12375]) ).
thf(f12382,definition,
( spl2_329
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_329])],[avatar_definition]) ).
thf(f12383,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_329 ),
inference(avatar_component_clause,[],[f12382]) ).
thf(f12385,definition,
( spl2_330
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_330])],[avatar_definition]) ).
thf(f12386,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_330 ),
inference(avatar_component_clause,[],[f12385]) ).
thf(f12442,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f11703,f48]) ).
thf(f12446,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f11703,f213]) ).
thf(f12449,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f12446]) ).
thf(f12452,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f12442]) ).
thf(f12460,definition,
( spl2_341
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).
thf(f12461,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_341 ),
inference(avatar_component_clause,[],[f12460]) ).
thf(f12462,plain,
( ~ spl2_341
| spl2_293
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f12449,f11702,f11691,f12460]) ).
thf(f12464,definition,
( spl2_342
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f12465,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_342 ),
inference(avatar_component_clause,[],[f12464]) ).
thf(f12466,plain,
( spl2_290
| ~ spl2_342
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f12452,f11702,f12464,f11680]) ).
thf(f12467,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_342 ),
inference(constrained_superposition,[],[f12465,f48]) ).
thf(f12470,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_342 ),
inference(trivial_inequality_removal,[],[f12467]) ).
thf(f12494,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_341 ),
inference(constrained_superposition,[],[f12461,f213]) ).
thf(f12499,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_341 ),
inference(trivial_inequality_removal,[],[f12494]) ).
thf(f12504,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_180
| ~ spl2_254 ),
inference(constrained_superposition,[],[f9517,f4515]) ).
thf(f12515,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f12504]) ).
thf(f12520,plain,
( spl2_84
| ~ spl2_180
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f12515,f9516,f4514,f1795]) ).
thf(f12603,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_303
| ~ spl2_308 ),
inference(constrained_superposition,[],[f12077,f11792]) ).
thf(f12608,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_303
| ~ spl2_308 ),
inference(duplicate_literal_removal,[],[f12603]) ).
thf(f12609,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_303
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f12608]) ).
thf(f12613,plain,
( spl2_68
| ~ spl2_303
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f12609,f12076,f11791,f969]) ).
thf(f12617,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_283
| ~ spl2_311 ),
inference(constrained_superposition,[],[f12102,f11404]) ).
thf(f12624,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_283
| ~ spl2_311 ),
inference(duplicate_literal_removal,[],[f12617]) ).
thf(f12625,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_283
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f12624]) ).
thf(f12631,definition,
( spl2_349
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_349])],[avatar_definition]) ).
thf(f12632,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_349 ),
inference(avatar_component_clause,[],[f12631]) ).
thf(f12634,plain,
( ( $true != $true )
| ~ spl2_204
| ~ spl2_283
| ~ spl2_311 ),
inference(constrained_superposition,[],[f12625,f11921]) ).
thf(f12636,plain,
( ( $true != $true )
| ~ spl2_180
| ~ spl2_283
| ~ spl2_311 ),
inference(constrained_superposition,[],[f12625,f4515]) ).
thf(f12639,plain,
( $false
| ~ spl2_180
| ~ spl2_283
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f12636]) ).
thf(f12640,plain,
( ~ spl2_180
| ~ spl2_283
| ~ spl2_311 ),
inference(avatar_contradiction_clause,[],[f12639]) ).
thf(f12641,plain,
( $false
| ~ spl2_204
| ~ spl2_283
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f12634]) ).
thf(f12642,plain,
( ~ spl2_204
| ~ spl2_283
| ~ spl2_311 ),
inference(avatar_contradiction_clause,[],[f12641]) ).
thf(f12657,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_282 ),
inference(constrained_superposition,[],[f4511,f11401]) ).
thf(f12658,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_217
| ~ spl2_282 ),
inference(constrained_superposition,[],[f5464,f11401]) ).
thf(f12660,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_282 ),
inference(constrained_superposition,[],[f119,f11401]) ).
thf(f12678,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_217
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f12658]) ).
thf(f12680,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f12657]) ).
thf(f12682,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_6
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f12660]) ).
thf(f12684,plain,
( ~ spl2_330
| ~ spl2_217
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f12678,f11400,f5463,f12385]) ).
thf(f12685,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_6
| spl2_184
| ~ spl2_282 ),
inference(forward_subsumption_resolution,[],[f12682,f5272]) ).
thf(f12686,plain,
( ~ spl2_330
| ~ spl2_6
| spl2_184
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f12685,f11400,f4803,f118,f12385]) ).
thf(f12687,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_330 ),
inference(constrained_superposition,[],[f12386,f93]) ).
thf(f12689,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_330 ),
inference(constrained_superposition,[],[f12386,f27]) ).
thf(f12690,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_330 ),
inference(trivial_inequality_removal,[],[f12687]) ).
thf(f12692,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_330 ),
inference(trivial_inequality_removal,[],[f12689]) ).
thf(f12695,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_282 ),
inference(constrained_superposition,[],[f12680,f27]) ).
thf(f12698,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f12695]) ).
thf(f12700,definition,
( spl2_350
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_350])],[avatar_definition]) ).
thf(f12701,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_350 ),
inference(avatar_component_clause,[],[f12700]) ).
thf(f12704,plain,
( spl2_350
| spl2_287
| ~ spl2_179
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f12698,f11400,f4510,f11588,f12700]) ).
thf(f12705,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_97
| ~ spl2_350 ),
inference(constrained_superposition,[],[f2003,f12701]) ).
thf(f12711,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_97
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f12705]) ).
thf(f12713,plain,
( $false
| ~ spl2_97
| ~ spl2_303
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12711,f11792]) ).
thf(f12714,plain,
( ~ spl2_97
| ~ spl2_303
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f12713]) ).
thf(f12742,definition,
( spl2_355
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_355])],[avatar_definition]) ).
thf(f12743,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_355 ),
inference(avatar_component_clause,[],[f12742]) ).
thf(f12792,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_293 ),
inference(avatar_component_clause,[],[f11691]) ).
thf(f12878,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f93,f12743]) ).
thf(f12879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f100,f12743]) ).
thf(f12880,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_355 ),
inference(constrained_superposition,[],[f119,f12743]) ).
thf(f12881,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f213,f12743]) ).
thf(f12882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f330,f12743]) ).
thf(f12883,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_355 ),
inference(constrained_superposition,[],[f1817,f12743]) ).
thf(f12905,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_355 ),
inference(duplicate_literal_removal,[],[f12882]) ).
thf(f12906,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_6
| ~ spl2_355 ),
inference(duplicate_literal_removal,[],[f12880]) ).
thf(f12908,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_88
| ~ spl2_355 ),
inference(duplicate_literal_removal,[],[f12883]) ).
thf(f12909,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_355 ),
inference(duplicate_literal_removal,[],[f12879]) ).
thf(f12914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| spl2_119
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12905,f2531]) ).
thf(f12915,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_6
| spl2_56
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12906,f692]) ).
thf(f12916,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_11
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12878,f159]) ).
thf(f12919,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_119
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12881,f2531]) ).
thf(f12921,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_21
| ~ spl2_88
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12908,f2075]) ).
thf(f12930,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_56
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12909,f692]) ).
thf(f12934,plain,
( spl2_118
| spl2_120
| spl2_119
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f12914,f12742,f2452,f2455,f2449]) ).
thf(f12935,plain,
( spl2_71
| ~ spl2_6
| spl2_56
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f12915,f12742,f691,f118,f1048]) ).
thf(f12936,plain,
( $false
| spl2_11
| spl2_56
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12916,f692]) ).
thf(f12937,plain,
( spl2_11
| spl2_56
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f12936]) ).
thf(f12938,plain,
( $false
| spl2_24
| spl2_119
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f12919,f380]) ).
thf(f12939,plain,
( spl2_24
| spl2_119
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f12938]) ).
thf(f12941,plain,
( spl2_122
| spl2_21
| ~ spl2_88
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f12921,f12742,f1816,f355,f2485]) ).
thf(f12942,plain,
( spl2_5
| spl2_71
| spl2_56
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f12930,f12742,f691,f1048,f115]) ).
thf(f12958,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f213,f12110]) ).
thf(f12990,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_312 ),
inference(constrained_superposition,[],[f11142,f12110]) ).
thf(f13003,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_24
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f12958,f380]) ).
thf(f13004,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31
| spl2_119
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f12990,f2531]) ).
thf(f13010,plain,
( $false
| spl2_24
| spl2_119
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f13003,f2531]) ).
thf(f13011,plain,
( spl2_24
| spl2_119
| ~ spl2_312 ),
inference(avatar_contradiction_clause,[],[f13010]) ).
thf(f13012,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_21
| ~ spl2_31
| spl2_119
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f13004,f2075]) ).
thf(f13014,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_21
| ~ spl2_31
| spl2_119
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f13012,f47]) ).
thf(f13015,plain,
( spl2_182
| spl2_21
| ~ spl2_31
| spl2_119
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f13014,f12109,f2452,f433,f355,f4527]) ).
thf(f13020,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_110
| spl2_293 ),
inference(constrained_superposition,[],[f12792,f2169]) ).
thf(f13038,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| spl2_293 ),
inference(trivial_inequality_removal,[],[f13020]) ).
thf(f13041,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f13038,f47]) ).
thf(f13042,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_8
| ~ spl2_110
| spl2_293
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f13041,f12074]) ).
thf(f13043,plain,
( spl2_312
| ~ spl2_8
| ~ spl2_110
| spl2_293
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f13042,f11791,f11691,f2168,f139,f12109]) ).
thf(f13117,definition,
( spl2_368
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_368])],[avatar_definition]) ).
thf(f13118,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_368 ),
inference(avatar_component_clause,[],[f13117]) ).
thf(f13125,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_55
| spl2_368 ),
inference(constrained_superposition,[],[f13118,f627]) ).
thf(f13131,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_55
| spl2_368 ),
inference(trivial_inequality_removal,[],[f13125]) ).
thf(f13133,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_55
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f13131,f47]) ).
thf(f13134,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_8
| ~ spl2_55
| ~ spl2_303
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f13133,f12074]) ).
thf(f13135,plain,
( spl2_312
| ~ spl2_8
| ~ spl2_55
| ~ spl2_303
| spl2_368 ),
inference(avatar_split_clause,[],[f13134,f13117,f11791,f626,f139,f12109]) ).
thf(f13136,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_329 ),
inference(constrained_superposition,[],[f140,f12383]) ).
thf(f13138,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f13136]) ).
thf(f13140,plain,
( $false
| ~ spl2_8
| ~ spl2_327
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f13138,f12376]) ).
thf(f13141,plain,
( ~ spl2_8
| ~ spl2_327
| ~ spl2_329 ),
inference(avatar_contradiction_clause,[],[f13140]) ).
thf(f13143,definition,
( spl2_369
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).
thf(f13144,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_369 ),
inference(avatar_component_clause,[],[f13143]) ).
thf(f13146,definition,
( spl2_370
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f13147,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_370 ),
inference(avatar_component_clause,[],[f13146]) ).
thf(f13614,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f483]) ).
thf(f13630,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f11366]) ).
thf(f13752,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_275 ),
inference(constrained_superposition,[],[f182,f13630]) ).
thf(f13762,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_275 ),
inference(constrained_superposition,[],[f10973,f13630]) ).
thf(f13764,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f13762]) ).
thf(f13765,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_13
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f13752]) ).
thf(f13782,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_275 ),
inference(constrained_superposition,[],[f13765,f49]) ).
thf(f13788,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_13
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f13782]) ).
thf(f13793,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_97
| ~ spl2_240 ),
inference(constrained_superposition,[],[f2003,f7144]) ).
thf(f13803,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_97
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f13793]) ).
thf(f13806,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_8
| ~ spl2_97
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f13803,f140]) ).
thf(f13808,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_97
| ~ spl2_240
| ~ spl2_303 ),
inference(constrained_superposition,[],[f13806,f11792]) ).
thf(f13810,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_8
| ~ spl2_97
| ~ spl2_240
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f13808]) ).
thf(f13813,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_97
| ~ spl2_240
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f13810,f47]) ).
thf(f13815,plain,
( spl2_287
| ~ spl2_8
| ~ spl2_97
| ~ spl2_240
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f13813,f11791,f7143,f2002,f139,f11588]) ).
thf(f13816,plain,
( spl2_303
| spl2_330 ),
inference(avatar_split_clause,[],[f12690,f12385,f11791]) ).
thf(f13817,plain,
( spl2_303
| spl2_355
| spl2_330 ),
inference(avatar_split_clause,[],[f12692,f12385,f12742,f11791]) ).
thf(f13990,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f11360]) ).
thf(f13995,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_165
| ~ spl2_274 ),
inference(constrained_superposition,[],[f4119,f13990]) ).
thf(f14001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_193
| ~ spl2_274 ),
inference(constrained_superposition,[],[f5033,f13990]) ).
thf(f14002,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_184
| ~ spl2_274 ),
inference(constrained_superposition,[],[f5272,f13990]) ).
thf(f14062,plain,
( $false
| ~ spl2_165
| ~ spl2_179
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f13995,f12208]) ).
thf(f14063,plain,
( ~ spl2_165
| ~ spl2_179
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f14062]) ).
thf(f14065,plain,
( spl2_231
| ~ spl2_193
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f14001,f11360,f5032,f6305]) ).
thf(f14075,plain,
( $false
| ~ spl2_95
| spl2_184
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f14002,f1994]) ).
thf(f14076,plain,
( ~ spl2_95
| spl2_184
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f14075]) ).
thf(f14094,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31
| spl2_368 ),
inference(constrained_superposition,[],[f13118,f11142]) ).
thf(f14096,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_55
| spl2_368 ),
inference(constrained_superposition,[],[f13118,f627]) ).
thf(f14098,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31
| spl2_368 ),
inference(trivial_inequality_removal,[],[f14094]) ).
thf(f14100,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_55
| spl2_368 ),
inference(trivial_inequality_removal,[],[f14096]) ).
thf(f14102,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f14098,f47]) ).
thf(f14104,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_55
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f14100,f47]) ).
thf(f14106,plain,
( spl2_303
| spl2_182
| ~ spl2_31
| spl2_368 ),
inference(avatar_split_clause,[],[f14102,f13117,f433,f4527,f11791]) ).
thf(f14107,plain,
( spl2_312
| spl2_294
| ~ spl2_55
| spl2_368 ),
inference(avatar_split_clause,[],[f14104,f13117,f626,f11696,f12109]) ).
thf(f14178,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_368 ),
inference(avatar_component_clause,[],[f13117]) ).
thf(f14209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_167
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f11975,f13630]) ).
thf(f14211,plain,
( spl2_243
| spl2_341 ),
inference(avatar_split_clause,[],[f12499,f12460,f7231]) ).
thf(f14214,plain,
( spl2_243
| ~ spl2_18
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f12045,f5463,f337,f7231]) ).
thf(f14216,plain,
( ~ spl2_244
| spl2_243
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f12209,f4510,f7231,f7234]) ).
thf(f14217,plain,
( spl2_95
| ~ spl2_6
| ~ spl2_167
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f14209,f11366,f4127,f118,f1993]) ).
thf(f14284,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_368 ),
inference(constrained_superposition,[],[f408,f14178]) ).
thf(f14286,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_25
| ~ spl2_368 ),
inference(trivial_inequality_removal,[],[f14284]) ).
thf(f14325,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_293
| ~ spl2_309 ),
inference(constrained_superposition,[],[f12080,f11692]) ).
thf(f14327,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_293
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f14325]) ).
thf(f14329,plain,
( $false
| ~ spl2_21
| ~ spl2_293
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f14327,f356]) ).
thf(f14330,plain,
( ~ spl2_21
| ~ spl2_293
| ~ spl2_309 ),
inference(avatar_contradiction_clause,[],[f14329]) ).
thf(f14335,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_193
| ~ spl2_283 ),
inference(constrained_superposition,[],[f5033,f11404]) ).
thf(f14338,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_193
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f14335]) ).
thf(f14340,plain,
( $false
| ~ spl2_193
| ~ spl2_283
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f14338,f11697]) ).
thf(f14341,plain,
( ~ spl2_193
| ~ spl2_283
| ~ spl2_294 ),
inference(avatar_contradiction_clause,[],[f14340]) ).
thf(f14346,definition,
( spl2_384
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_384])],[avatar_definition]) ).
thf(f14347,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_384 ),
inference(avatar_component_clause,[],[f14346]) ).
thf(f14348,plain,
( spl2_33
| spl2_384
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f11165,f181,f14346,f440]) ).
thf(f14350,plain,
( spl2_176
| spl2_342 ),
inference(avatar_split_clause,[],[f12470,f12464,f4498]) ).
thf(f14355,plain,
( $false
| ~ spl2_25
| ~ spl2_303
| ~ spl2_368 ),
inference(forward_subsumption_resolution,[],[f11792,f14286]) ).
thf(f14356,plain,
( ~ spl2_25
| ~ spl2_303
| ~ spl2_368 ),
inference(avatar_contradiction_clause,[],[f14355]) ).
thf(f14376,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f13764,f47]) ).
thf(f14377,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f13788,f47]) ).
thf(f14380,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f14376,f47]) ).
thf(f14381,plain,
( spl2_180
| spl2_33
| ~ spl2_13
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f14377,f11366,f181,f440,f4514]) ).
thf(f14382,plain,
( spl2_180
| spl2_60
| ~ spl2_38
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f14380,f11366,f459,f757,f4514]) ).
thf(f14413,plain,
( ( $true != $true )
| ~ spl2_21
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7772,f356]) ).
thf(f14414,plain,
( ( $true != $true )
| ~ spl2_59
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7772,f967]) ).
thf(f14419,plain,
( $false
| ~ spl2_59
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f14414]) ).
thf(f14420,plain,
( ~ spl2_59
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f14419]) ).
thf(f14423,plain,
( $false
| ~ spl2_21
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f14413]) ).
thf(f14424,plain,
( ~ spl2_21
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f14423]) ).
thf(f14427,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163
| ~ spl2_183 ),
inference(constrained_superposition,[],[f4112,f4531]) ).
thf(f14431,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_183
| spl2_204 ),
inference(constrained_superposition,[],[f5257,f4531]) ).
thf(f14432,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_183
| spl2_184 ),
inference(constrained_superposition,[],[f5272,f4531]) ).
thf(f14436,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_95
| ~ spl2_183 ),
inference(constrained_superposition,[],[f10326,f4531]) ).
thf(f14451,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f213,f4531]) ).
thf(f14474,plain,
( $false
| ~ spl2_56
| spl2_95
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f14436,f1986]) ).
thf(f14475,plain,
( ~ spl2_56
| spl2_95
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f14474]) ).
thf(f14476,plain,
( spl2_32
| ~ spl2_163
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f14427,f4530,f4111,f436]) ).
thf(f14477,plain,
( ~ spl2_119
| ~ spl2_183
| spl2_204 ),
inference(avatar_split_clause,[],[f14431,f5256,f4530,f2452]) ).
thf(f14478,plain,
( $false
| ~ spl2_21
| ~ spl2_183
| spl2_184 ),
inference(forward_subsumption_resolution,[],[f14432,f356]) ).
thf(f14479,plain,
( ~ spl2_21
| ~ spl2_183
| spl2_184 ),
inference(avatar_contradiction_clause,[],[f14478]) ).
thf(f14486,plain,
( spl2_119
| spl2_24
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f14451,f4530,f379,f2452]) ).
thf(f14490,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_21 ),
inference(constrained_superposition,[],[f2075,f238]) ).
thf(f14491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| spl2_21 ),
inference(trivial_inequality_removal,[],[f14490]) ).
thf(f14492,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_21
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f14491,f4050]) ).
thf(f14493,plain,
( spl2_15
| spl2_91
| spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f14492,f358,f355,f1886,f244]) ).
thf(f14499,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_45 ),
inference(constrained_superposition,[],[f76,f13614]) ).
thf(f14500,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f56,f13614]) ).
thf(f14511,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f14500]) ).
thf(f14514,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f14499]) ).
thf(f14517,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_45
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f14511,f620]) ).
thf(f14519,plain,
( spl2_118
| ~ spl2_42
| ~ spl2_45
| spl2_54 ),
inference(avatar_split_clause,[],[f14517,f619,f483,f473,f2449]) ).
thf(f14520,plain,
( spl2_59
| ~ spl2_42
| ~ spl2_4
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f14514,f483,f75,f473,f753]) ).
thf(f14531,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_60 ),
inference(constrained_superposition,[],[f25,f758]) ).
thf(f14532,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f14531]) ).
thf(f14533,plain,
( spl2_9
| spl2_8
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f14532,f757,f139,f143]) ).
thf(f14586,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f25,f4804]) ).
thf(f14588,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f14586]) ).
thf(f14589,plain,
( spl2_199
| spl2_198
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f14588,f4803,f5181,f5184]) ).
thf(f14631,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_303 ),
inference(constrained_superposition,[],[f140,f11792]) ).
thf(f14634,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_8
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f14631]) ).
thf(f14636,plain,
( $false
| ~ spl2_8
| ~ spl2_294
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f14634,f11697]) ).
thf(f14637,plain,
( ~ spl2_8
| ~ spl2_294
| ~ spl2_303 ),
inference(avatar_contradiction_clause,[],[f14636]) ).
thf(f14640,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_290 ),
inference(constrained_superposition,[],[f25,f11681]) ).
thf(f14641,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f14640]) ).
thf(f14642,plain,
( spl2_301
| spl2_302
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f14641,f11680,f11785,f11782]) ).
thf(f14678,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_194
| ~ spl2_231 ),
inference(constrained_superposition,[],[f6306,f5052]) ).
thf(f14681,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_194
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f14678]) ).
thf(f14760,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_384 ),
inference(constrained_superposition,[],[f14347,f27]) ).
thf(f14762,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f14760]) ).
thf(f14780,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f4519,f48]) ).
thf(f14791,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f14780]) ).
thf(f14811,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_293
| ~ spl2_301 ),
inference(constrained_superposition,[],[f11783,f11692]) ).
thf(f14814,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_293
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f14811]) ).
thf(f14871,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_290
| ~ spl2_309 ),
inference(constrained_superposition,[],[f12080,f11681]) ).
thf(f14874,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_290
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f14871]) ).
thf(f14876,plain,
( $false
| ~ spl2_33
| ~ spl2_290
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f14874,f441]) ).
thf(f14877,plain,
( ~ spl2_33
| ~ spl2_290
| ~ spl2_309 ),
inference(avatar_contradiction_clause,[],[f14876]) ).
thf(f14993,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_23
| ~ spl2_167 ),
inference(constrained_superposition,[],[f377,f4128]) ).
thf(f15011,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_23
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f14993]) ).
thf(f15014,plain,
( spl2_243
| ~ spl2_23
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f15011,f4127,f376,f7231]) ).
thf(f15031,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_74
| ~ spl2_204 ),
inference(constrained_superposition,[],[f1135,f11921]) ).
thf(f15040,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_74
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f15031]) ).
thf(f15051,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_74
| ~ spl2_184
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f15040,f4804]) ).
thf(f15052,plain,
( $false
| spl2_59
| ~ spl2_74
| ~ spl2_184
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f15051,f754]) ).
thf(f15053,plain,
( spl2_59
| ~ spl2_74
| ~ spl2_184
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f15052]) ).
thf(f15055,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_283
| ~ spl2_304 ),
inference(constrained_superposition,[],[f11889,f11404]) ).
thf(f15056,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_294
| ~ spl2_304 ),
inference(constrained_superposition,[],[f11889,f11697]) ).
thf(f15059,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_283
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f15055]) ).
thf(f15060,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_294
| ~ spl2_304 ),
inference(duplicate_literal_removal,[],[f15056]) ).
thf(f15061,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_294
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f15060]) ).
thf(f15066,plain,
( spl2_349
| ~ spl2_283
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f15059,f11888,f11403,f12631]) ).
thf(f15067,plain,
( spl2_115
| ~ spl2_294
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f15061,f11888,f11696,f2316]) ).
thf(f15166,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_204
| ~ spl2_305 ),
inference(constrained_superposition,[],[f11929,f11921]) ).
thf(f15172,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_204
| ~ spl2_305 ),
inference(duplicate_literal_removal,[],[f15166]) ).
thf(f15173,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_204
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f15172]) ).
thf(f15176,plain,
( spl2_250
| ~ spl2_204
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f15173,f11928,f5256,f7771]) ).
thf(f15179,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_189
| ~ spl2_283 ),
inference(constrained_superposition,[],[f5017,f11404]) ).
thf(f15180,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_189
| ~ spl2_218 ),
inference(constrained_superposition,[],[f5017,f5467]) ).
thf(f15182,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_189
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f15179]) ).
thf(f15183,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_189
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f15180]) ).
thf(f15185,plain,
( $false
| ~ spl2_189
| ~ spl2_283
| ~ spl2_368 ),
inference(forward_subsumption_resolution,[],[f15182,f14178]) ).
thf(f15186,plain,
( ~ spl2_189
| ~ spl2_283
| ~ spl2_368 ),
inference(avatar_contradiction_clause,[],[f15185]) ).
thf(f15188,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_231
| ~ spl2_350 ),
inference(constrained_superposition,[],[f6306,f12701]) ).
thf(f15189,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_350 ),
inference(constrained_superposition,[],[f4449,f12701]) ).
thf(f15193,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_173
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f15189]) ).
thf(f15194,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_231
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f15188]) ).
thf(f15198,plain,
( $false
| ~ spl2_173
| ~ spl2_350
| ~ spl2_368 ),
inference(forward_subsumption_resolution,[],[f15193,f14178]) ).
thf(f15199,plain,
( ~ spl2_173
| ~ spl2_350
| ~ spl2_368 ),
inference(avatar_contradiction_clause,[],[f15198]) ).
thf(f15200,plain,
( $false
| ~ spl2_231
| ~ spl2_294
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f15194,f11697]) ).
thf(f15201,plain,
( ~ spl2_231
| ~ spl2_294
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f15200]) ).
thf(f15203,plain,
( ~ spl2_32
| ~ spl2_189
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f15183,f5466,f5016,f436]) ).
thf(f15204,plain,
( ~ spl2_40
| spl2_205
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f14791,f4518,f5259,f466]) ).
thf(f15206,plain,
( ~ spl2_59
| ~ spl2_194
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f14681,f6305,f5051,f753]) ).
thf(f15207,plain,
( ~ spl2_59
| ~ spl2_293
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f14814,f11782,f11691,f753]) ).
thf(f15208,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_60 ),
inference(avatar_component_clause,[],[f757]) ).
thf(f15217,plain,
( ( $true != $true )
| ~ spl2_115
| ~ spl2_290 ),
inference(constrained_superposition,[],[f2317,f11681]) ).
thf(f15219,plain,
( $false
| ~ spl2_115
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f15217]) ).
thf(f15220,plain,
( ~ spl2_115
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f15219]) ).
thf(f15224,plain,
( ( $true != $true )
| ~ spl2_68
| ~ spl2_218 ),
inference(constrained_superposition,[],[f970,f5467]) ).
thf(f15232,plain,
( $false
| ~ spl2_68
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f15224]) ).
thf(f15233,plain,
( ~ spl2_68
| ~ spl2_218 ),
inference(avatar_contradiction_clause,[],[f15232]) ).
thf(f15238,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2450,f93]) ).
thf(f15248,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f15238]) ).
thf(f15249,plain,
( spl2_21
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f15248,f2449,f355]) ).
thf(f15275,plain,
( $false
| ~ spl2_68
| ~ spl2_94 ),
inference(forward_subsumption_resolution,[],[f1991,f970]) ).
thf(f15276,plain,
( ~ spl2_68
| ~ spl2_94 ),
inference(avatar_contradiction_clause,[],[f15275]) ).
thf(f15323,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_124 ),
inference(constrained_superposition,[],[f2520,f345]) ).
thf(f15333,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f15323]) ).
thf(f15337,plain,
( $false
| ~ spl2_20
| spl2_293 ),
inference(forward_subsumption_resolution,[],[f12792,f345]) ).
thf(f15338,plain,
( ~ spl2_20
| spl2_293 ),
inference(avatar_contradiction_clause,[],[f15337]) ).
thf(f15339,plain,
( ( $true != $true )
| ~ spl2_20
| ~ spl2_124
| ~ spl2_184 ),
inference(constrained_superposition,[],[f15333,f4804]) ).
thf(f15345,plain,
( $false
| ~ spl2_20
| ~ spl2_124
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f15339]) ).
thf(f15346,plain,
( ~ spl2_20
| ~ spl2_124
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f15345]) ).
thf(f15352,plain,
( $false
| ~ spl2_32
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f437,f970]) ).
thf(f15353,plain,
( ~ spl2_32
| ~ spl2_68 ),
inference(avatar_contradiction_clause,[],[f15352]) ).
thf(f15413,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51
| spl2_194 ),
inference(constrained_superposition,[],[f11038,f581]) ).
thf(f15416,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51
| spl2_194 ),
inference(trivial_inequality_removal,[],[f15413]) ).
thf(f15418,plain,
( spl2_206
| ~ spl2_51
| spl2_194 ),
inference(avatar_split_clause,[],[f15416,f5051,f580,f5264]) ).
thf(f15419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f25,f441]) ).
thf(f15420,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f15419]) ).
thf(f15421,plain,
( spl2_8
| spl2_92
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f15420,f440,f1890,f139]) ).
thf(f15452,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| spl2_274 ),
inference(constrained_superposition,[],[f11361,f5265]) ).
thf(f15460,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f213,f5265]) ).
thf(f15493,plain,
( $false
| ~ spl2_206
| spl2_274 ),
inference(forward_subsumption_resolution,[],[f15452,f5265]) ).
thf(f15494,plain,
( ~ spl2_206
| spl2_274 ),
inference(avatar_contradiction_clause,[],[f15493]) ).
thf(f15498,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_119
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f15460,f2531]) ).
thf(f15505,plain,
( $false
| ~ spl2_118
| spl2_119
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f15498,f2450]) ).
thf(f15506,plain,
( ~ spl2_118
| spl2_119
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f15505]) ).
thf(f15520,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_32 ),
inference(constrained_superposition,[],[f408,f437]) ).
thf(f15523,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f15520]) ).
thf(f15612,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f26,f4119]) ).
thf(f15617,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f15612]) ).
thf(f15628,plain,
( spl2_179
| spl2_175
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f15617,f4118,f4495,f4510]) ).
thf(f15637,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_167 ),
inference(constrained_superposition,[],[f26,f4128]) ).
thf(f15642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f15637]) ).
thf(f15653,plain,
( spl2_179
| spl2_214
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f15642,f4127,f5449,f4510]) ).
thf(f15694,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_92 ),
inference(constrained_superposition,[],[f1891,f437]) ).
thf(f15701,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f15694]) ).
thf(f15703,plain,
( spl2_133
| ~ spl2_32
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f15701,f1890,f436,f2843]) ).
thf(f15724,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_283 ),
inference(constrained_superposition,[],[f5182,f11404]) ).
thf(f15727,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_198
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f15724]) ).
thf(f15771,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_74
| ~ spl2_276 ),
inference(constrained_superposition,[],[f1135,f11380]) ).
thf(f15792,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_74
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f15771]) ).
thf(f15804,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_74
| ~ spl2_184
| ~ spl2_276 ),
inference(forward_subsumption_resolution,[],[f15792,f4804]) ).
thf(f15805,plain,
( ~ spl2_56
| ~ spl2_25
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f15523,f436,f407,f691]) ).
thf(f15808,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_303 ),
inference(avatar_component_clause,[],[f11791]) ).
thf(f15810,plain,
( spl2_294
| ~ spl2_74
| ~ spl2_184
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f15804,f11379,f4803,f1134,f11696]) ).
thf(f15883,plain,
( ~ spl2_303
| ~ spl2_198
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f15727,f11403,f5181,f11791]) ).
thf(f15889,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_204 ),
inference(constrained_superposition,[],[f408,f11921]) ).
thf(f15893,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_25
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f15889]) ).
thf(f15897,plain,
( $false
| ~ spl2_25
| ~ spl2_184
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f15893,f4804]) ).
thf(f15898,plain,
( ~ spl2_25
| ~ spl2_184
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f15897]) ).
thf(f15940,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_184
| ~ spl2_274 ),
inference(constrained_superposition,[],[f4804,f13990]) ).
thf(f15942,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_201
| ~ spl2_274 ),
inference(constrained_superposition,[],[f5223,f13990]) ).
thf(f15943,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_180
| ~ spl2_274 ),
inference(constrained_superposition,[],[f5266,f13990]) ).
thf(f15986,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_201
| ~ spl2_274 ),
inference(duplicate_literal_removal,[],[f15942]) ).
thf(f15990,plain,
( spl2_284
| ~ spl2_201
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f15986,f11360,f5222,f11551]) ).
thf(f15996,plain,
( $false
| spl2_95
| ~ spl2_184
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f15940,f10326]) ).
thf(f15997,plain,
( spl2_95
| ~ spl2_184
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f15996]) ).
thf(f15998,plain,
( $false
| ~ spl2_168
| spl2_180
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f15943,f4132]) ).
thf(f15999,plain,
( ~ spl2_168
| spl2_180
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f15998]) ).
thf(f16002,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_274 ),
inference(extensionality_resolution,[],[f54,f11361]) ).
thf(f16010,plain,
( spl2_175
| spl2_179
| spl2_164
| spl2_274 ),
inference(avatar_split_clause,[],[f16002,f11360,f4115,f4510,f4495]) ).
thf(f16013,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_27
| ~ spl2_163 ),
inference(constrained_superposition,[],[f415,f4112]) ).
thf(f16017,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f25,f4112]) ).
thf(f16021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f16017]) ).
thf(f16022,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_27
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f16013]) ).
thf(f16023,plain,
( spl2_174
| spl2_173
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f16021,f4111,f4448,f4451]) ).
thf(f16024,plain,
( $false
| ~ spl2_27
| ~ spl2_163
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f16022,f4132]) ).
thf(f16025,plain,
( ~ spl2_27
| ~ spl2_163
| ~ spl2_168 ),
inference(avatar_contradiction_clause,[],[f16024]) ).
thf(f16030,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_32
| ~ spl2_108 ),
inference(constrained_superposition,[],[f2158,f437]) ).
thf(f16032,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_32
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f16030]) ).
thf(f16038,plain,
( $false
| ~ spl2_32
| ~ spl2_54
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f16032,f1151]) ).
thf(f16039,plain,
( ~ spl2_32
| ~ spl2_54
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f16038]) ).
thf(f16107,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_27
| ~ spl2_368 ),
inference(constrained_superposition,[],[f415,f14178]) ).
thf(f16115,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_27
| ~ spl2_368 ),
inference(trivial_inequality_removal,[],[f16107]) ).
thf(f16118,plain,
( $false
| ~ spl2_27
| ~ spl2_294
| ~ spl2_368 ),
inference(forward_subsumption_resolution,[],[f16115,f11697]) ).
thf(f16119,plain,
( ~ spl2_27
| ~ spl2_294
| ~ spl2_368 ),
inference(avatar_contradiction_clause,[],[f16118]) ).
thf(f16169,definition,
( spl2_395
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_395])],[avatar_definition]) ).
thf(f16170,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_395 ),
inference(avatar_component_clause,[],[f16169]) ).
thf(f16177,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_395 ),
inference(constrained_superposition,[],[f408,f16170]) ).
thf(f16183,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_395 ),
inference(trivial_inequality_removal,[],[f16177]) ).
thf(f16189,plain,
( $false
| ~ spl2_25
| ~ spl2_329
| ~ spl2_395 ),
inference(forward_subsumption_resolution,[],[f16183,f12383]) ).
thf(f16190,plain,
( ~ spl2_25
| ~ spl2_329
| ~ spl2_395 ),
inference(avatar_contradiction_clause,[],[f16189]) ).
thf(f16231,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_301 ),
inference(constrained_superposition,[],[f11783,f11390]) ).
thf(f16234,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_279
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f16231]) ).
thf(f16274,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_184
| ~ spl2_236 ),
inference(constrained_superposition,[],[f6795,f4804]) ).
thf(f16281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_184
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f16274]) ).
thf(f16284,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_184
| ~ spl2_236 ),
inference(constrained_superposition,[],[f16281,f437]) ).
thf(f16289,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_184
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f16284]) ).
thf(f16290,plain,
( $false
| ~ spl2_21
| ~ spl2_32
| ~ spl2_184
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f16289,f356]) ).
thf(f16291,plain,
( ~ spl2_21
| ~ spl2_32
| ~ spl2_184
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f16290]) ).
thf(f16294,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_294
| ~ spl2_302 ),
inference(constrained_superposition,[],[f11786,f11697]) ).
thf(f16297,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_294
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f16294]) ).
thf(f16302,plain,
( spl2_7
| ~ spl2_294
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f16297,f11785,f11696,f136]) ).
thf(f16332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_329
| ~ spl2_369 ),
inference(constrained_superposition,[],[f13144,f12383]) ).
thf(f16338,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_329
| ~ spl2_369 ),
inference(duplicate_literal_removal,[],[f16332]) ).
thf(f16339,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_329
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f16338]) ).
thf(f16341,plain,
( spl2_68
| ~ spl2_329
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f16339,f13143,f12382,f969]) ).
thf(f16495,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_88
| ~ spl2_290 ),
inference(constrained_superposition,[],[f1817,f11681]) ).
thf(f16496,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_88
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f16495]) ).
thf(f16505,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_54
| ~ spl2_88
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f16496,f1151]) ).
thf(f16508,plain,
( $false
| ~ spl2_54
| ~ spl2_88
| ~ spl2_290
| spl2_303 ),
inference(forward_subsumption_resolution,[],[f16505,f15808]) ).
thf(f16509,plain,
( ~ spl2_54
| ~ spl2_88
| ~ spl2_290
| spl2_303 ),
inference(avatar_contradiction_clause,[],[f16508]) ).
thf(f16514,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_285
| ~ spl2_294 ),
inference(constrained_superposition,[],[f11581,f11697]) ).
thf(f16517,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_285
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f16514]) ).
thf(f16524,definition,
( spl2_402
<=> ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_402])],[avatar_definition]) ).
thf(f16525,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_402 ),
inference(avatar_component_clause,[],[f16524]) ).
thf(f16527,plain,
( spl2_402
| ~ spl2_285
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f16517,f11696,f11580,f16524]) ).
thf(f16529,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_402 ),
inference(constrained_superposition,[],[f16525,f4125]) ).
thf(f16534,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_166
| ~ spl2_402 ),
inference(trivial_inequality_removal,[],[f16529]) ).
thf(f16538,plain,
( $false
| ~ spl2_166
| ~ spl2_168
| ~ spl2_402 ),
inference(forward_subsumption_resolution,[],[f16534,f4132]) ).
thf(f16539,plain,
( ~ spl2_166
| ~ spl2_168
| ~ spl2_402 ),
inference(avatar_contradiction_clause,[],[f16538]) ).
thf(f16544,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_279
| ~ spl2_286 ),
inference(constrained_superposition,[],[f11584,f11390]) ).
thf(f16548,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_279
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f16544]) ).
thf(f16581,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_163 ),
inference(avatar_component_clause,[],[f4111]) ).
thf(f16622,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_349 ),
inference(constrained_superposition,[],[f12632,f4125]) ).
thf(f16627,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_166
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f16622]) ).
thf(f16633,plain,
( $false
| ~ spl2_166
| ~ spl2_205
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f16627,f5260]) ).
thf(f16634,plain,
( ~ spl2_166
| ~ spl2_205
| ~ spl2_349 ),
inference(avatar_contradiction_clause,[],[f16633]) ).
thf(f16690,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_303
| ~ spl2_384 ),
inference(constrained_superposition,[],[f15808,f14762]) ).
thf(f16700,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_303
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f16690]) ).
thf(f16708,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_76
| spl2_303 ),
inference(constrained_superposition,[],[f15808,f1187]) ).
thf(f16717,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76
| spl2_303 ),
inference(trivial_inequality_removal,[],[f16708]) ).
thf(f16726,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_61
| spl2_94 ),
inference(constrained_superposition,[],[f5274,f775]) ).
thf(f16727,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_61
| spl2_218 ),
inference(constrained_superposition,[],[f5523,f775]) ).
thf(f16744,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_61
| spl2_218 ),
inference(trivial_inequality_removal,[],[f16727]) ).
thf(f16747,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_61
| spl2_94 ),
inference(trivial_inequality_removal,[],[f16726]) ).
thf(f16761,plain,
( $false
| ~ spl2_61
| spl2_180
| spl2_218 ),
inference(forward_subsumption_resolution,[],[f16744,f5266]) ).
thf(f16762,plain,
( ~ spl2_61
| spl2_180
| spl2_218 ),
inference(avatar_contradiction_clause,[],[f16761]) ).
thf(f16772,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_218 ),
inference(constrained_superposition,[],[f25,f5467]) ).
thf(f16776,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f16772]) ).
thf(f16798,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_41
| spl2_303 ),
inference(constrained_superposition,[],[f15808,f470]) ).
thf(f16811,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_41
| spl2_303 ),
inference(trivial_inequality_removal,[],[f16798]) ).
thf(f16816,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_63
| spl2_303 ),
inference(constrained_superposition,[],[f15808,f923]) ).
thf(f16831,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_63
| spl2_303 ),
inference(trivial_inequality_removal,[],[f16816]) ).
thf(f16841,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_110
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f2169]) ).
thf(f16861,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_110
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f16841]) ).
thf(f16865,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| spl2_180
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f16861,f5266]) ).
thf(f16869,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| spl2_180
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f16865,f47]) ).
thf(f16871,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_21
| ~ spl2_110
| spl2_180
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f16869,f356]) ).
thf(f16873,plain,
( spl2_191
| ~ spl2_21
| ~ spl2_110
| spl2_180
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f16871,f5181,f4514,f2168,f355,f5025]) ).
thf(f16926,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_95
| ~ spl2_241 ),
inference(constrained_superposition,[],[f10326,f7149]) ).
thf(f16931,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_95
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f16926]) ).
thf(f16944,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_95
| ~ spl2_241 ),
inference(forward_subsumption_resolution,[],[f16931,f47]) ).
thf(f16945,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_60
| spl2_95
| ~ spl2_241 ),
inference(forward_subsumption_resolution,[],[f16944,f15208]) ).
thf(f16946,plain,
( spl2_183
| spl2_60
| spl2_95
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f16945,f7148,f1993,f757,f4530]) ).
thf(f16962,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_297
| spl2_368 ),
inference(constrained_superposition,[],[f13118,f11710]) ).
thf(f16964,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_231
| ~ spl2_297 ),
inference(constrained_superposition,[],[f6306,f11710]) ).
thf(f16977,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_297
| spl2_368 ),
inference(trivial_inequality_removal,[],[f16962]) ).
thf(f16989,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f16964]) ).
thf(f16991,plain,
( spl2_312
| ~ spl2_297
| spl2_368 ),
inference(avatar_split_clause,[],[f16977,f13117,f11709,f12109]) ).
thf(f16994,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_294
| ~ spl2_297 ),
inference(forward_subsumption_resolution,[],[f16989,f11697]) ).
thf(f16996,plain,
( spl2_287
| ~ spl2_231
| ~ spl2_294
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f16994,f11709,f11696,f6305,f11588]) ).
thf(f17033,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_46
| spl2_60 ),
inference(constrained_superposition,[],[f15208,f488]) ).
thf(f17046,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_46
| spl2_60 ),
inference(trivial_inequality_removal,[],[f17033]) ).
thf(f17054,plain,
( spl2_113
| ~ spl2_46
| spl2_60 ),
inference(avatar_split_clause,[],[f17046,f757,f487,f2256]) ).
thf(f17176,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_69
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5182,f974]) ).
thf(f17191,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_69
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f17176]) ).
thf(f17203,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_69
| spl2_180
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f17191,f5266]) ).
thf(f17207,plain,
( $false
| ~ spl2_21
| ~ spl2_69
| spl2_180
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f17203,f356]) ).
thf(f17208,plain,
( ~ spl2_21
| ~ spl2_69
| spl2_180
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f17207]) ).
thf(f17222,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_279
| ~ spl2_286 ),
inference(constrained_superposition,[],[f16548,f11000]) ).
thf(f17233,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_38
| ~ spl2_370 ),
inference(constrained_superposition,[],[f13147,f11000]) ).
thf(f17248,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_279
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f17222]) ).
thf(f17250,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f17233]) ).
thf(f17276,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_180
| ~ spl2_279
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f17248,f5266]) ).
thf(f17283,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| spl2_180
| ~ spl2_279
| ~ spl2_286
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f17276,f16234]) ).
thf(f17286,plain,
( spl2_287
| ~ spl2_38
| spl2_180
| ~ spl2_279
| ~ spl2_286
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f17283,f11782,f11583,f11389,f4514,f459,f11588]) ).
thf(f17288,definition,
( spl2_407
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_407])],[avatar_definition]) ).
thf(f17289,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_407 ),
inference(avatar_component_clause,[],[f17288]) ).
thf(f17290,plain,
( spl2_327
| spl2_407
| ~ spl2_38
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f17250,f13146,f459,f17288,f12375]) ).
thf(f17291,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_315 ),
inference(avatar_component_clause,[],[f12145]) ).
thf(f17358,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_286
| ~ spl2_315 ),
inference(constrained_superposition,[],[f11584,f12146]) ).
thf(f17363,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_286
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f17358]) ).
thf(f17368,plain,
( $false
| ~ spl2_218
| ~ spl2_286
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f17363,f5467]) ).
thf(f17369,plain,
( ~ spl2_218
| ~ spl2_286
| ~ spl2_315 ),
inference(avatar_contradiction_clause,[],[f17368]) ).
thf(f17427,plain,
( ( $true != $true )
| spl2_33
| ~ spl2_39 ),
inference(constrained_superposition,[],[f1162,f463]) ).
thf(f17429,plain,
( $false
| spl2_33
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f17427]) ).
thf(f17430,plain,
( spl2_33
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f17429]) ).
thf(f17447,plain,
( spl2_294
| ~ spl2_63
| spl2_303 ),
inference(avatar_split_clause,[],[f16831,f11791,f922,f11696]) ).
thf(f17449,plain,
( spl2_290
| ~ spl2_41
| spl2_303 ),
inference(avatar_split_clause,[],[f16811,f11791,f469,f11680]) ).
thf(f17450,plain,
( spl2_168
| ~ spl2_61
| spl2_94 ),
inference(avatar_split_clause,[],[f16747,f1990,f774,f4131]) ).
thf(f17455,plain,
( ~ spl2_11
| spl2_10
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f10807,f118,f155,f158]) ).
thf(f17456,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_76
| spl2_303 ),
inference(forward_subsumption_resolution,[],[f16717,f47]) ).
thf(f17457,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_303
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f16700,f47]) ).
thf(f17458,plain,
( spl2_355
| spl2_294
| ~ spl2_76
| spl2_303 ),
inference(avatar_split_clause,[],[f17456,f11791,f1186,f11696,f12742]) ).
thf(f17459,plain,
( spl2_355
| spl2_290
| spl2_303
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f17457,f14346,f11791,f11680,f12742]) ).
thf(f17505,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f41,f359]) ).
thf(f17587,plain,
( spl2_236
| spl2_198
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f16776,f5466,f5181,f6794]) ).
thf(f17611,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_71 ),
inference(constrained_superposition,[],[f1049,f48]) ).
thf(f17617,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f17611]) ).
thf(f17632,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_22 ),
inference(equality_resolution,[],[f17505]) ).
thf(f17633,plain,
( $false
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f17632,f47]) ).
thf(f17634,plain,
~ spl2_22,
inference(avatar_contradiction_clause,[],[f17633]) ).
thf(f17636,plain,
( spl2_33
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f17617,f1048,f440]) ).
thf(f17639,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_22 ),
inference(extensionality_resolution,[],[f90,f4050]) ).
thf(f17640,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_22 ),
inference(extensionality_resolution,[],[f90,f4050]) ).
thf(f17641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f54,f4050]) ).
thf(f17643,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(extensionality_resolution,[],[f50,f4050]) ).
thf(f17647,plain,
( spl2_164
| spl2_165
| spl2_22 ),
inference(avatar_split_clause,[],[f17640,f358,f4118,f4115]) ).
thf(f17648,plain,
( spl2_163
| spl2_162
| spl2_22 ),
inference(avatar_split_clause,[],[f17643,f358,f4108,f4111]) ).
thf(f17649,plain,
( spl2_167
| spl2_166
| spl2_22 ),
inference(avatar_split_clause,[],[f17639,f358,f4124,f4127]) ).
thf(f17650,plain,
( spl2_5
| spl2_31
| spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f17641,f358,f355,f433,f115]) ).
thf(f17672,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_46
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7772,f488]) ).
thf(f17675,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_46
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f17672]) ).
thf(f17676,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_46
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f17675,f7772]) ).
thf(f17677,plain,
( spl2_128
| ~ spl2_46
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f17676,f7771,f487,f2607]) ).
thf(f17682,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f25,f4132]) ).
thf(f17683,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f17682]) ).
thf(f17693,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_274 ),
inference(extensionality_resolution,[],[f54,f11361]) ).
thf(f17699,plain,
( spl2_179
| spl2_214
| spl2_166
| spl2_274 ),
inference(avatar_split_clause,[],[f17693,f11360,f4124,f5449,f4510]) ).
thf(f17718,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_294 ),
inference(constrained_superposition,[],[f25,f11697]) ).
thf(f17719,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f17718]) ).
thf(f17720,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f56,f13630]) ).
thf(f17722,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f26,f13630]) ).
thf(f17728,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f17720]) ).
thf(f17729,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f17722]) ).
thf(f17743,plain,
( $false
| ~ spl2_12
| spl2_315 ),
inference(forward_subsumption_resolution,[],[f17291,f179]) ).
thf(f17744,plain,
( ~ spl2_12
| spl2_315 ),
inference(avatar_contradiction_clause,[],[f17743]) ).
thf(f17746,plain,
( ( $true != $true )
| ~ spl2_12
| ~ spl2_284 ),
inference(constrained_superposition,[],[f11552,f179]) ).
thf(f17748,plain,
( $false
| ~ spl2_12
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f17746]) ).
thf(f17749,plain,
( ~ spl2_12
| ~ spl2_284 ),
inference(avatar_contradiction_clause,[],[f17748]) ).
thf(f17760,plain,
( ~ spl2_216
| spl2_5
| spl2_33
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f17728,f11366,f440,f115,f5457]) ).
thf(f17764,plain,
( spl2_217
| spl2_5
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f17729,f11366,f115,f5463]) ).
thf(f17767,plain,
( spl2_231
| spl2_230
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f17683,f4131,f6302,f6305]) ).
thf(f17769,plain,
( spl2_304
| spl2_301
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f17719,f11696,f11782,f11888]) ).
thf(f17782,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X0 ) )
| spl2_54 ),
inference(constrained_superposition,[],[f620,f238]) ).
thf(f17783,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_54 ),
inference(trivial_inequality_removal,[],[f17782]) ).
thf(f17784,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( sK1 = X0 ) )
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f17783,f47]) ).
thf(f17785,plain,
( spl2_51
| spl2_55
| spl2_54 ),
inference(avatar_split_clause,[],[f17784,f619,f626,f580]) ).
thf(f17795,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f25,f356]) ).
thf(f17796,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f17795]) ).
thf(f17798,plain,
( spl2_50
| spl2_25
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f17796,f355,f407,f557]) ).
thf(f17802,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f76,f92]) ).
thf(f17803,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f76,f93]) ).
thf(f17805,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f76,f213]) ).
thf(f17806,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_275 ),
inference(constrained_superposition,[],[f76,f13630]) ).
thf(f17808,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f17802]) ).
thf(f17809,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f17803]) ).
thf(f17812,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f17805]) ).
thf(f17813,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f17806]) ).
thf(f17815,plain,
( ~ spl2_36
| spl2_69
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f17812,f75,f973,f451]) ).
thf(f17837,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_274 ),
inference(extensionality_resolution,[],[f90,f11361]) ).
thf(f17838,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_274 ),
inference(extensionality_resolution,[],[f54,f11361]) ).
thf(f17839,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_274 ),
inference(extensionality_resolution,[],[f54,f11361]) ).
thf(f17840,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_274 ),
inference(extensionality_resolution,[],[f50,f11361]) ).
thf(f17841,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_274 ),
inference(extensionality_resolution,[],[f50,f11361]) ).
thf(f17845,plain,
( spl2_175
| spl2_164
| spl2_179
| spl2_274 ),
inference(avatar_split_clause,[],[f17838,f11360,f4510,f4115,f4495]) ).
thf(f17846,plain,
( spl2_214
| spl2_179
| spl2_166
| spl2_274 ),
inference(avatar_split_clause,[],[f17839,f11360,f4124,f4510,f5449]) ).
thf(f17847,plain,
( spl2_278
| spl2_279
| spl2_274 ),
inference(avatar_split_clause,[],[f17837,f11360,f11389,f11386]) ).
thf(f17848,plain,
( spl2_277
| spl2_276
| spl2_274 ),
inference(avatar_split_clause,[],[f17840,f11360,f11379,f11382]) ).
thf(f17849,plain,
( spl2_283
| spl2_282
| spl2_274 ),
inference(avatar_split_clause,[],[f17841,f11360,f11400,f11403]) ).
thf(f17853,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f56,f4109]) ).
thf(f17854,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f100,f4109]) ).
thf(f17855,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f26,f4109]) ).
thf(f17859,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f17853]) ).
thf(f17861,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f17855]) ).
thf(f17863,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f17854]) ).
thf(f17866,plain,
( spl2_235
| spl2_118
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f17861,f4108,f2449,f6764]) ).
thf(f17884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f25,f11921]) ).
thf(f17885,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f17884]) ).
thf(f17886,plain,
( spl2_189
| spl2_305
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f17885,f5256,f11928,f5016]) ).
thf(f17899,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f25,f4116]) ).
thf(f17900,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f17899]) ).
thf(f17901,plain,
( spl2_200
| spl2_201
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f17900,f4115,f5222,f5219]) ).
thf(f17903,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f25,f4125]) ).
thf(f17904,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f17903]) ).
thf(f17906,plain,
( spl2_201
| spl2_203
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f17904,f4124,f5252,f5222]) ).
thf(f17932,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_321 ),
inference(constrained_superposition,[],[f12321,f50]) ).
thf(f17936,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_321 ),
inference(trivial_inequality_removal,[],[f17932]) ).
thf(f17939,plain,
( spl2_395
| spl2_355
| spl2_321 ),
inference(avatar_split_clause,[],[f17936,f12320,f12742,f16169]) ).
thf(f17949,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_217 ),
inference(constrained_superposition,[],[f5464,f48]) ).
thf(f17958,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f17949]) ).
thf(f17961,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_235 ),
inference(constrained_superposition,[],[f6765,f48]) ).
thf(f17967,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_235 ),
inference(trivial_inequality_removal,[],[f17961]) ).
thf(f17979,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f460,f27]) ).
thf(f17982,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f17979]) ).
thf(f17992,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_276
| ~ spl2_301 ),
inference(constrained_superposition,[],[f11783,f11380]) ).
thf(f17993,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f25,f11380]) ).
thf(f17994,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_276
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f17992]) ).
thf(f17995,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f17993]) ).
thf(f17996,plain,
( spl2_285
| spl2_286
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f17995,f11379,f11583,f11580]) ).
thf(f17998,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_283 ),
inference(constrained_superposition,[],[f25,f11404]) ).
thf(f17999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f17998]) ).
thf(f18001,plain,
( spl2_286
| spl2_311
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f17999,f11403,f12101,f11583]) ).
thf(f18011,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_201
| ~ spl2_283 ),
inference(constrained_superposition,[],[f5223,f11404]) ).
thf(f18013,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_201
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f18011]) ).
thf(f18019,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f330,f11387]) ).
thf(f18027,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f18019]) ).
thf(f18076,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f119,f48]) ).
thf(f18082,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_278 ),
inference(constrained_superposition,[],[f119,f11387]) ).
thf(f18087,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f18082]) ).
thf(f18089,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f18076]) ).
thf(f18091,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_6
| ~ spl2_278
| spl2_303 ),
inference(forward_subsumption_resolution,[],[f18087,f15808]) ).
thf(f18092,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_278
| spl2_303 ),
inference(constrained_superposition,[],[f18091,f93]) ).
thf(f18097,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_278
| spl2_303 ),
inference(trivial_inequality_removal,[],[f18092]) ).
thf(f18105,plain,
( spl2_329
| ~ spl2_6
| ~ spl2_278
| spl2_303 ),
inference(avatar_split_clause,[],[f18097,f11791,f11386,f118,f12382]) ).
thf(f18106,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_8
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f17289,f140]) ).
thf(f18107,plain,
( spl2_291
| spl2_293
| ~ spl2_321
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f18027,f11386,f12320,f11691,f11683]) ).
thf(f18143,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f25,f12383]) ).
thf(f18144,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f18143]) ).
thf(f18146,plain,
( spl2_370
| spl2_369
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f18144,f12382,f13143,f13146]) ).
thf(f18153,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_21
| ~ spl2_407 ),
inference(constrained_superposition,[],[f18106,f356]) ).
thf(f18155,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_8
| ~ spl2_21
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f18153]) ).
thf(f18157,plain,
( spl2_355
| ~ spl2_8
| ~ spl2_21
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f18155,f17288,f355,f139,f12742]) ).
thf(f18162,plain,
( ~ spl2_40
| spl2_176
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f17958,f5463,f4498,f466]) ).
thf(f18167,plain,
( spl2_60
| spl2_34
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f17809,f75,f443,f757]) ).
thf(f18168,plain,
( ~ spl2_180
| ~ spl2_276
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f17994,f11782,f11379,f4514]) ).
thf(f18169,plain,
( spl2_41
| ~ spl2_40
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f18089,f118,f466,f469]) ).
thf(f18170,plain,
( ~ spl2_42
| spl2_61
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f17808,f75,f774,f473]) ).
thf(f18172,plain,
( spl2_60
| ~ spl2_216
| ~ spl2_4
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f17813,f11366,f75,f5457,f757]) ).
thf(f18174,plain,
( spl2_94
| spl2_181
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f17863,f4108,f4518,f1990]) ).
thf(f18175,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| spl2_33 ),
inference(constrained_superposition,[],[f1162,f238]) ).
thf(f18176,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_33 ),
inference(trivial_inequality_removal,[],[f18175]) ).
thf(f18177,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_33 ),
inference(forward_subsumption_resolution,[],[f18176,f47]) ).
thf(f18178,plain,
( spl2_15
| spl2_76
| spl2_33 ),
inference(avatar_split_clause,[],[f18177,f440,f1186,f244]) ).
thf(f18180,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 ) )
| spl2_60 ),
inference(constrained_superposition,[],[f15208,f238]) ).
thf(f18181,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| spl2_60 ),
inference(trivial_inequality_removal,[],[f18180]) ).
thf(f18183,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 ) )
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f18181,f47]) ).
thf(f18184,plain,
( spl2_47
| spl2_76
| spl2_60 ),
inference(avatar_split_clause,[],[f18183,f757,f1186,f490]) ).
thf(f18185,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f2486,f238]) ).
thf(f18186,plain,
( ( $true != $true )
| ~ spl2_32
| ~ spl2_122 ),
inference(constrained_superposition,[],[f2486,f437]) ).
thf(f18187,plain,
( ( $true != $true )
| ~ spl2_122
| ~ spl2_204 ),
inference(constrained_superposition,[],[f2486,f11921]) ).
thf(f18188,plain,
( $false
| ~ spl2_122
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f18187]) ).
thf(f18189,plain,
( ~ spl2_122
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f18188]) ).
thf(f18190,plain,
( $false
| ~ spl2_32
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f18186]) ).
thf(f18191,plain,
( ~ spl2_32
| ~ spl2_122 ),
inference(avatar_contradiction_clause,[],[f18190]) ).
thf(f18192,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f18185]) ).
thf(f18193,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( X0 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f18192,f2486]) ).
thf(f18194,plain,
( spl2_213
| spl2_51
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f18193,f2485,f580,f5357]) ).
thf(f18195,plain,
( ~ spl2_37
| spl2_205
| ~ spl2_235 ),
inference(avatar_split_clause,[],[f17967,f6764,f5259,f455]) ).
thf(f18196,plain,
( ~ spl2_169
| spl2_118
| spl2_54
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f17859,f4108,f619,f2449,f4135]) ).
thf(f18209,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f25,f1151]) ).
thf(f18210,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f18209]) ).
thf(f18212,plain,
( spl2_49
| spl2_27
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f18210,f619,f414,f535]) ).
thf(f18213,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_59 ),
inference(constrained_superposition,[],[f25,f967]) ).
thf(f18214,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f18213]) ).
thf(f18215,plain,
( spl2_27
| spl2_48
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f18214,f753,f529,f414]) ).
thf(f18217,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| spl2_168 ),
inference(constrained_superposition,[],[f6281,f238]) ).
thf(f18219,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 ) )
| spl2_168 ),
inference(trivial_inequality_removal,[],[f18217]) ).
thf(f18221,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f18219,f47]) ).
thf(f18222,plain,
( spl2_47
| spl2_240
| spl2_168 ),
inference(avatar_split_clause,[],[f18221,f4131,f7143,f490]) ).
thf(f18223,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f25,f1991]) ).
thf(f18224,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f18223]) ).
thf(f18225,plain,
( spl2_97
| spl2_98
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f18224,f1990,f2005,f2002]) ).
thf(f18226,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_95 ),
inference(constrained_superposition,[],[f25,f1994]) ).
thf(f18227,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f18226]) ).
thf(f18228,plain,
( spl2_97
| spl2_188
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f18227,f1993,f4976,f2002]) ).
thf(f18230,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f25,f4499]) ).
thf(f18231,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f18230]) ).
thf(f18233,plain,
( spl2_202
| spl2_193
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f18231,f4498,f5032,f5235]) ).
thf(f18238,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f25,f4515]) ).
thf(f18239,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f18238]) ).
thf(f18240,plain,
( spl2_193
| spl2_192
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f18239,f4514,f5029,f5032]) ).
thf(f18286,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_303 ),
inference(constrained_superposition,[],[f25,f11792]) ).
thf(f18287,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f18286]) ).
thf(f18288,plain,
( spl2_309
| spl2_308
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f18287,f11791,f12076,f12079]) ).
thf(f18309,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_193
| ~ spl2_283 ),
inference(constrained_superposition,[],[f5033,f11404]) ).
thf(f18313,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_193
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f18309]) ).
thf(f18512,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| spl2_33
| ~ spl2_213 ),
inference(constrained_superposition,[],[f1162,f5358]) ).
thf(f18513,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_60
| ~ spl2_213 ),
inference(constrained_superposition,[],[f15208,f5358]) ).
thf(f18527,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_60
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f18513]) ).
thf(f18528,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_33
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f18512]) ).
thf(f18553,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_60
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f18527,f41]) ).
thf(f18554,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_33
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f18528,f41]) ).
thf(f18583,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_60
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f18553,f47]) ).
thf(f18584,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_33
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f18554,f47]) ).
thf(f18589,plain,
( $false
| spl2_60
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f18583,f47]) ).
thf(f18590,plain,
( spl2_60
| ~ spl2_213 ),
inference(avatar_contradiction_clause,[],[f18589]) ).
thf(f18591,plain,
( $false
| spl2_33
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f18584,f47]) ).
thf(f18592,plain,
( spl2_33
| ~ spl2_213 ),
inference(avatar_contradiction_clause,[],[f18591]) ).
thf(f18638,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f17982,f92]) ).
thf(f18651,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f18638]) ).
thf(f18655,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_38
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f18651,f15208]) ).
thf(f18659,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_38
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f18655,f47]) ).
thf(f18661,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_38
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f18659,f47]) ).
thf(f18663,plain,
( spl2_61
| ~ spl2_38
| spl2_60 ),
inference(avatar_split_clause,[],[f18661,f757,f459,f774]) ).
thf(f18751,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_194
| ~ spl2_233 ),
inference(constrained_superposition,[],[f11038,f6722]) ).
thf(f18759,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_97
| ~ spl2_233 ),
inference(constrained_superposition,[],[f2003,f6722]) ).
thf(f18763,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f18759]) ).
thf(f18764,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_194
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f18751]) ).
thf(f18776,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_97
| spl2_163
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f18763,f16581]) ).
thf(f18777,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_163
| spl2_194
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f18764,f16581]) ).
thf(f18786,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_97
| spl2_163
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f18776,f356]) ).
thf(f18787,plain,
( spl2_206
| spl2_163
| spl2_194
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f18777,f6721,f5051,f4111,f5264]) ).
thf(f18794,plain,
( spl2_206
| ~ spl2_21
| ~ spl2_97
| spl2_163
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f18786,f6721,f4111,f2002,f355,f5264]) ).
thf(f18822,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_201
| ~ spl2_240
| ~ spl2_283 ),
inference(constrained_superposition,[],[f18013,f7144]) ).
thf(f18829,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_201
| ~ spl2_240
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f18822]) ).
thf(f18836,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_193
| ~ spl2_201
| ~ spl2_240
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f18829,f18313]) ).
thf(f18839,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193
| ~ spl2_201
| ~ spl2_240
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f18836,f47]) ).
thf(f18840,plain,
( spl2_287
| ~ spl2_193
| ~ spl2_201
| ~ spl2_240
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f18839,f11403,f7143,f5222,f5032,f11588]) ).
cnf(s3,plain,
( spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f183]) ).
cnf(s15,plain,
( spl2_23
| ~ spl2_24 ),
inference(sat_conversion,[],[f381]) ).
cnf(s22,plain,
( spl2_20
| spl2_31
| spl2_32 ),
inference(sat_conversion,[],[f438]) ).
cnf(s23,plain,
( spl2_5
| spl2_33
| spl2_34 ),
inference(sat_conversion,[],[f445]) ).
cnf(s24,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f446]) ).
cnf(s27,plain,
( spl2_38
| spl2_39 ),
inference(sat_conversion,[],[f464]) ).
cnf(s30,plain,
( spl2_44
| ~ spl2_45 ),
inference(sat_conversion,[],[f485]) ).
cnf(s31,plain,
( spl2_46
| spl2_47 ),
inference(sat_conversion,[],[f492]) ).
cnf(s32,plain,
( ~ spl2_5
| spl2_12 ),
inference(sat_conversion,[],[f501]) ).
cnf(s33,plain,
( spl2_33
| spl2_40 ),
inference(sat_conversion,[],[f507]) ).
cnf(s40,plain,
( ~ spl2_8
| ~ spl2_21
| spl2_36 ),
inference(sat_conversion,[],[f555]) ).
cnf(s45,plain,
( ~ spl2_5
| ~ spl2_15
| ~ spl2_27 ),
inference(sat_conversion,[],[f589]) ).
cnf(s50,plain,
( ~ spl2_15
| spl2_22
| ~ spl2_25
| ~ spl2_56 ),
inference(sat_conversion,[],[f693]) ).
cnf(s51,plain,
( ~ spl2_12
| ~ spl2_25
| ~ spl2_56 ),
inference(sat_conversion,[],[f694]) ).
cnf(s53,plain,
( ~ spl2_5
| ~ spl2_25
| ~ spl2_56 ),
inference(sat_conversion,[],[f699]) ).
cnf(s57,plain,
( spl2_42
| spl2_60 ),
inference(sat_conversion,[],[f764]) ).
cnf(s58,plain,
( ~ spl2_51
| spl2_59 ),
inference(sat_conversion,[],[f770]) ).
cnf(s61,plain,
( ~ spl2_3
| spl2_39 ),
inference(sat_conversion,[],[f781]) ).
cnf(s62,plain,
( ~ spl2_3
| spl2_47 ),
inference(sat_conversion,[],[f782]) ).
cnf(s63,plain,
( ~ spl2_5
| spl2_60 ),
inference(sat_conversion,[],[f795]) ).
cnf(s69,plain,
( ~ spl2_12
| ~ spl2_21
| ~ spl2_50 ),
inference(sat_conversion,[],[f844]) ).
cnf(s71,plain,
( ~ spl2_21
| spl2_45
| ~ spl2_50 ),
inference(sat_conversion,[],[f850]) ).
cnf(s72,plain,
( ~ spl2_21
| spl2_23
| ~ spl2_44
| ~ spl2_50 ),
inference(sat_conversion,[],[f852]) ).
cnf(s78,plain,
( ~ spl2_34
| spl2_63 ),
inference(sat_conversion,[],[f936]) ).
cnf(s82,plain,
( ~ spl2_50
| spl2_59
| ~ spl2_60
| ~ spl2_63 ),
inference(sat_conversion,[],[f966]) ).
cnf(s98,plain,
( ~ spl2_63
| spl2_68
| spl2_74 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s99,plain,
( ~ spl2_60
| ~ spl2_68 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s108,plain,
( spl2_33
| ~ spl2_47 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s111,plain,
( ~ spl2_41
| spl2_68
| spl2_77 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s122,plain,
( ~ spl2_17
| ~ spl2_31
| spl2_86
| spl2_88 ),
inference(sat_conversion,[],[f1818]) ).
cnf(s126,plain,
( ~ spl2_54
| ~ spl2_59
| ~ spl2_86 ),
inference(sat_conversion,[],[f1876]) ).
cnf(s127,plain,
( ~ spl2_4
| ~ spl2_54
| spl2_55
| ~ spl2_86 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s163,plain,
( spl2_36
| spl2_59 ),
inference(sat_conversion,[],[f2160]) ).
cnf(s169,plain,
( ~ spl2_46
| spl2_59
| spl2_110 ),
inference(sat_conversion,[],[f2191]) ).
cnf(s170,plain,
( ~ spl2_4
| spl2_55
| spl2_59 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s176,plain,
( spl2_7
| ~ spl2_60
| ~ spl2_92 ),
inference(sat_conversion,[],[f2254]) ).
cnf(s181,plain,
( ~ spl2_7
| ~ spl2_33
| ~ spl2_60 ),
inference(sat_conversion,[],[f2279]) ).
cnf(s210,plain,
( ~ spl2_20
| ~ spl2_41
| spl2_123
| spl2_124 ),
inference(sat_conversion,[],[f2521]) ).
cnf(s218,plain,
( spl2_21
| ~ spl2_41
| spl2_54 ),
inference(sat_conversion,[],[f2577]) ).
cnf(s219,plain,
( ~ spl2_41
| ~ spl2_50
| spl2_54
| spl2_68 ),
inference(sat_conversion,[],[f2578]) ).
cnf(s221,plain,
( ~ spl2_47
| spl2_54 ),
inference(sat_conversion,[],[f2604]) ).
cnf(s227,plain,
( spl2_30
| ~ spl2_47
| ~ spl2_54
| ~ spl2_88 ),
inference(sat_conversion,[],[f2690]) ).
cnf(s255,plain,
( spl2_22
| spl2_32
| spl2_59
| ~ spl2_113 ),
inference(sat_conversion,[],[f2922]) ).
cnf(s278,plain,
( ~ spl2_15
| spl2_22
| spl2_32 ),
inference(sat_conversion,[],[f3356]) ).
cnf(s279,plain,
( ~ spl2_15
| spl2_22
| ~ spl2_27
| ~ spl2_60 ),
inference(sat_conversion,[],[f3359]) ).
cnf(s356,plain,
( ~ spl2_4
| ~ spl2_165
| ~ spl2_169
| spl2_180 ),
inference(sat_conversion,[],[f4516]) ).
cnf(s375,plain,
( spl2_11
| spl2_56
| ~ spl2_183 ),
inference(sat_conversion,[],[f4656]) ).
cnf(s378,plain,
( ~ spl2_17
| spl2_21
| spl2_56
| ~ spl2_183 ),
inference(sat_conversion,[],[f4661]) ).
cnf(s379,plain,
( ~ spl2_6
| spl2_56
| spl2_71
| ~ spl2_183 ),
inference(sat_conversion,[],[f4662]) ).
cnf(s383,plain,
( ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_183 ),
inference(sat_conversion,[],[f4667]) ).
cnf(s386,plain,
( ~ spl2_20
| spl2_119
| ~ spl2_182 ),
inference(sat_conversion,[],[f4761]) ).
cnf(s397,plain,
( ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_182 ),
inference(sat_conversion,[],[f4787]) ).
cnf(s398,plain,
( ~ spl2_17
| spl2_21
| spl2_56
| ~ spl2_182 ),
inference(sat_conversion,[],[f4789]) ).
cnf(s399,plain,
( spl2_5
| spl2_56
| spl2_71
| ~ spl2_182 ),
inference(sat_conversion,[],[f4790]) ).
cnf(s406,plain,
( spl2_11
| spl2_56
| ~ spl2_182 ),
inference(sat_conversion,[],[f4800]) ).
cnf(s407,plain,
( ~ spl2_6
| ~ spl2_165
| spl2_184
| ~ spl2_185 ),
inference(sat_conversion,[],[f4808]) ).
cnf(s430,plain,
( ~ spl2_175
| spl2_178 ),
inference(sat_conversion,[],[f4990]) ).
cnf(s431,plain,
( ~ spl2_175
| spl2_184 ),
inference(sat_conversion,[],[f4991]) ).
cnf(s432,plain,
( ~ spl2_175
| spl2_180 ),
inference(sat_conversion,[],[f4992]) ).
cnf(s443,plain,
( ~ spl2_38
| spl2_59
| spl2_69 ),
inference(sat_conversion,[],[f5057]) ).
cnf(s448,plain,
( spl2_59
| ~ spl2_180
| ~ spl2_191 ),
inference(sat_conversion,[],[f5135]) ).
cnf(s453,plain,
( ~ spl2_17
| spl2_21
| spl2_119
| ~ spl2_191 ),
inference(sat_conversion,[],[f5142]) ).
cnf(s463,plain,
( ~ spl2_123
| ~ spl2_163
| ~ spl2_164
| spl2_176 ),
inference(sat_conversion,[],[f5227]) ).
cnf(s470,plain,
( ~ spl2_77
| ~ spl2_166
| ~ spl2_184
| spl2_205 ),
inference(sat_conversion,[],[f5273]) ).
cnf(s476,plain,
( ~ spl2_91
| spl2_182
| spl2_184
| spl2_191
| spl2_204 ),
inference(sat_conversion,[],[f5324]) ).
cnf(s477,plain,
( ~ spl2_38
| spl2_59
| spl2_180
| spl2_183
| spl2_204 ),
inference(sat_conversion,[],[f5326]) ).
cnf(s478,plain,
( ~ spl2_55
| spl2_180
| spl2_191
| spl2_204 ),
inference(sat_conversion,[],[f5327]) ).
cnf(s481,plain,
( ~ spl2_122
| ~ spl2_163 ),
inference(sat_conversion,[],[f5345]) ).
cnf(s482,plain,
( ~ spl2_54
| ~ spl2_122 ),
inference(sat_conversion,[],[f5350]) ).
cnf(s483,plain,
( ~ spl2_47
| ~ spl2_122 ),
inference(sat_conversion,[],[f5352]) ).
cnf(s484,plain,
( ~ spl2_55
| ~ spl2_122
| spl2_128 ),
inference(sat_conversion,[],[f5355]) ).
cnf(s486,plain,
( ~ spl2_38
| spl2_59
| ~ spl2_122
| spl2_127 ),
inference(sat_conversion,[],[f5360]) ).
cnf(s488,plain,
( ~ spl2_119
| spl2_121
| spl2_122 ),
inference(sat_conversion,[],[f5373]) ).
cnf(s499,plain,
( ~ spl2_97
| ~ spl2_166
| ~ spl2_184 ),
inference(sat_conversion,[],[f5507]) ).
cnf(s501,plain,
( ~ spl2_33
| ~ spl2_47
| ~ spl2_97 ),
inference(sat_conversion,[],[f5517]) ).
cnf(s505,plain,
( spl2_95
| spl2_185 ),
inference(sat_conversion,[],[f5525]) ).
cnf(s509,plain,
( ~ spl2_86
| ~ spl2_163
| ~ spl2_194 ),
inference(sat_conversion,[],[f5559]) ).
cnf(s512,plain,
( ~ spl2_38
| spl2_59
| ~ spl2_86
| spl2_127 ),
inference(sat_conversion,[],[f5567]) ).
cnf(s529,plain,
( ~ spl2_166
| ~ spl2_173
| ~ spl2_204 ),
inference(sat_conversion,[],[f5933]) ).
cnf(s531,plain,
( ~ spl2_47
| ~ spl2_54
| ~ spl2_173 ),
inference(sat_conversion,[],[f5939]) ).
cnf(s540,plain,
( ~ spl2_54
| ~ spl2_176
| ~ spl2_189 ),
inference(sat_conversion,[],[f6072]) ).
cnf(s542,plain,
( ~ spl2_163
| ~ spl2_164
| ~ spl2_189 ),
inference(sat_conversion,[],[f6081]) ).
cnf(s543,plain,
( ~ spl2_47
| ~ spl2_54
| ~ spl2_189 ),
inference(sat_conversion,[],[f6085]) ).
cnf(s552,plain,
( ~ spl2_47
| ~ spl2_201 ),
inference(sat_conversion,[],[f6199]) ).
cnf(s554,plain,
( spl2_21
| ~ spl2_30
| ~ spl2_191 ),
inference(sat_conversion,[],[f6269]) ).
cnf(s568,plain,
( spl2_183
| ~ spl2_191 ),
inference(sat_conversion,[],[f6335]) ).
cnf(s572,plain,
( spl2_24
| spl2_119
| ~ spl2_191 ),
inference(sat_conversion,[],[f6341]) ).
cnf(s585,plain,
( spl2_5
| spl2_56
| spl2_71
| ~ spl2_183 ),
inference(sat_conversion,[],[f6414]) ).
cnf(s586,plain,
( ~ spl2_5
| spl2_15 ),
inference(sat_conversion,[],[f6423]) ).
cnf(s600,plain,
( spl2_32
| ~ spl2_120 ),
inference(sat_conversion,[],[f6521]) ).
cnf(s601,plain,
( ~ spl2_5
| spl2_56
| ~ spl2_183 ),
inference(sat_conversion,[],[f6523]) ).
cnf(s606,plain,
( ~ spl2_4
| ~ spl2_12
| spl2_22
| ~ spl2_33
| ~ spl2_36
| ~ spl2_47
| ~ spl2_60
| spl2_194 ),
inference(sat_conversion,[],[f6561]) ).
cnf(s609,plain,
( spl2_168
| spl2_169 ),
inference(sat_conversion,[],[f6565]) ).
cnf(s612,plain,
( spl2_22
| ~ spl2_38
| spl2_59
| spl2_163
| spl2_168 ),
inference(sat_conversion,[],[f6567]) ).
cnf(s613,plain,
( spl2_22
| ~ spl2_38
| spl2_59
| spl2_168
| spl2_194 ),
inference(sat_conversion,[],[f6569]) ).
cnf(s616,plain,
( spl2_18
| spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f6578]) ).
cnf(s618,plain,
( ~ spl2_32
| ~ spl2_33
| ~ spl2_47
| spl2_129 ),
inference(sat_conversion,[],[f6591]) ).
cnf(s622,plain,
( ~ spl2_21
| ~ spl2_47
| ~ spl2_54
| spl2_67 ),
inference(sat_conversion,[],[f6603]) ).
cnf(s637,plain,
( ~ spl2_24
| spl2_51
| spl2_233 ),
inference(sat_conversion,[],[f6723]) ).
cnf(s639,plain,
( ~ spl2_24
| spl2_118
| spl2_120 ),
inference(sat_conversion,[],[f6726]) ).
cnf(s640,plain,
( ~ spl2_13
| spl2_21
| spl2_22
| ~ spl2_24 ),
inference(sat_conversion,[],[f6728]) ).
cnf(s643,plain,
( ~ spl2_4
| ~ spl2_24
| spl2_59 ),
inference(sat_conversion,[],[f6733]) ).
cnf(s654,plain,
( spl2_22
| ~ spl2_127
| spl2_168 ),
inference(sat_conversion,[],[f6829]) ).
cnf(s658,plain,
( ~ spl2_11
| ~ spl2_31
| spl2_32 ),
inference(sat_conversion,[],[f6844]) ).
cnf(s669,plain,
( ~ spl2_25
| ~ spl2_33
| ~ spl2_54 ),
inference(sat_conversion,[],[f6953]) ).
cnf(s670,plain,
( ~ spl2_25
| ~ spl2_95
| ~ spl2_163 ),
inference(sat_conversion,[],[f6955]) ).
cnf(s672,plain,
( ~ spl2_25
| ~ spl2_33
| ~ spl2_47 ),
inference(sat_conversion,[],[f6961]) ).
cnf(s676,plain,
( ~ spl2_49
| ~ spl2_54
| ~ spl2_194 ),
inference(sat_conversion,[],[f7034]) ).
cnf(s684,plain,
( ~ spl2_129
| ~ spl2_163
| spl2_231 ),
inference(sat_conversion,[],[f7078]) ).
cnf(s687,plain,
( ~ spl2_164
| ~ spl2_194
| ~ spl2_220 ),
inference(sat_conversion,[],[f7113]) ).
cnf(s690,plain,
( ~ spl2_95
| spl2_108
| ~ spl2_230 ),
inference(sat_conversion,[],[f7146]) ).
cnf(s691,plain,
( ~ spl2_46
| spl2_115
| ~ spl2_230
| spl2_241 ),
inference(sat_conversion,[],[f7150]) ).
cnf(s694,plain,
( ~ spl2_33
| ~ spl2_115 ),
inference(sat_conversion,[],[f7166]) ).
cnf(s695,plain,
( ~ spl2_54
| ~ spl2_115 ),
inference(sat_conversion,[],[f7169]) ).
cnf(s696,plain,
( ~ spl2_115
| ~ spl2_176 ),
inference(sat_conversion,[],[f7173]) ).
cnf(s704,plain,
( spl2_94
| ~ spl2_179
| spl2_218 ),
inference(sat_conversion,[],[f7249]) ).
cnf(s720,plain,
( spl2_68
| ~ spl2_95
| ~ spl2_188 ),
inference(sat_conversion,[],[f7408]) ).
cnf(s723,plain,
( ~ spl2_166
| ~ spl2_180
| ~ spl2_231 ),
inference(sat_conversion,[],[f7414]) ).
cnf(s734,plain,
( ~ spl2_21
| ~ spl2_50
| spl2_68 ),
inference(sat_conversion,[],[f7547]) ).
cnf(s737,plain,
( spl2_22
| spl2_194
| spl2_244 ),
inference(sat_conversion,[],[f7552]) ).
cnf(s748,plain,
( spl2_95
| ~ spl2_184
| ~ spl2_206 ),
inference(sat_conversion,[],[f7659]) ).
cnf(s758,plain,
( spl2_17
| ~ spl2_23 ),
inference(sat_conversion,[],[f7726]) ).
cnf(s759,plain,
( ~ spl2_23
| spl2_69 ),
inference(sat_conversion,[],[f7727]) ).
cnf(s762,plain,
( ~ spl2_91
| spl2_95
| ~ spl2_174
| spl2_183
| spl2_206
| spl2_250 ),
inference(sat_conversion,[],[f7773]) ).
cnf(s763,plain,
( ~ spl2_163
| ~ spl2_174
| spl2_250 ),
inference(sat_conversion,[],[f7775]) ).
cnf(s765,plain,
( ~ spl2_128
| spl2_180
| spl2_191 ),
inference(sat_conversion,[],[f7811]) ).
cnf(s768,plain,
( spl2_68
| ~ spl2_184
| ~ spl2_199 ),
inference(sat_conversion,[],[f7825]) ).
cnf(s772,plain,
( ~ spl2_6
| ~ spl2_18
| spl2_30
| ~ spl2_250 ),
inference(sat_conversion,[],[f7855]) ).
cnf(s777,plain,
( ~ spl2_31
| ~ spl2_162
| ~ spl2_185 ),
inference(sat_conversion,[],[f7884]) ).
cnf(s779,plain,
( ~ spl2_6
| spl2_21
| ~ spl2_162
| ~ spl2_185 ),
inference(sat_conversion,[],[f7887]) ).
cnf(s781,plain,
( ~ spl2_30
| spl2_184 ),
inference(sat_conversion,[],[f7903]) ).
cnf(s782,plain,
( ~ spl2_45
| spl2_94
| ~ spl2_235 ),
inference(sat_conversion,[],[f7946]) ).
cnf(s784,plain,
( ~ spl2_30
| ~ spl2_164
| ~ spl2_198 ),
inference(sat_conversion,[],[f7963]) ).
cnf(s785,plain,
( ~ spl2_33
| ~ spl2_176
| ~ spl2_198 ),
inference(sat_conversion,[],[f7965]) ).
cnf(s786,plain,
( ~ spl2_33
| ~ spl2_39
| ~ spl2_198 ),
inference(sat_conversion,[],[f7967]) ).
cnf(s787,plain,
( ~ spl2_33
| ~ spl2_47
| ~ spl2_198 ),
inference(sat_conversion,[],[f7969]) ).
cnf(s790,plain,
( spl2_51
| ~ spl2_118 ),
inference(sat_conversion,[],[f7990]) ).
cnf(s791,plain,
( spl2_20
| ~ spl2_118 ),
inference(sat_conversion,[],[f7991]) ).
cnf(s792,plain,
( spl2_59
| ~ spl2_118 ),
inference(sat_conversion,[],[f7993]) ).
cnf(s794,plain,
( ~ spl2_12
| spl2_218 ),
inference(sat_conversion,[],[f8030]) ).
cnf(s795,plain,
( ~ spl2_12
| spl2_94 ),
inference(sat_conversion,[],[f8037]) ).
cnf(s796,plain,
( ~ spl2_12
| ~ spl2_60
| ~ spl2_231 ),
inference(sat_conversion,[],[f8040]) ).
cnf(s798,plain,
( ~ spl2_12
| ~ spl2_60
| ~ spl2_193 ),
inference(sat_conversion,[],[f8044]) ).
cnf(s799,plain,
( ~ spl2_39
| ~ spl2_47
| ~ spl2_166
| spl2_193 ),
inference(sat_conversion,[],[f8051]) ).
cnf(s801,plain,
( ~ spl2_39
| ~ spl2_47
| ~ spl2_164
| spl2_231 ),
inference(sat_conversion,[],[f8053]) ).
cnf(s811,plain,
( spl2_95
| ~ spl2_214 ),
inference(sat_conversion,[],[f8265]) ).
cnf(s812,plain,
( spl2_168
| ~ spl2_214 ),
inference(sat_conversion,[],[f8267]) ).
cnf(s817,plain,
( spl2_180
| spl2_216 ),
inference(sat_conversion,[],[f8475]) ).
cnf(s847,plain,
( ~ spl2_86
| ~ spl2_204
| ~ spl2_243 ),
inference(sat_conversion,[],[f9521]) ).
cnf(s851,plain,
( ~ spl2_12
| ~ spl2_47
| ~ spl2_60
| ~ spl2_243 ),
inference(sat_conversion,[],[f9537]) ).
cnf(s854,plain,
( ~ spl2_12
| ~ spl2_168
| ~ spl2_245 ),
inference(sat_conversion,[],[f9546]) ).
cnf(s862,plain,
( ~ spl2_8
| ~ spl2_56
| ~ spl2_60 ),
inference(sat_conversion,[],[f9579]) ).
cnf(s865,plain,
( spl2_21
| ~ spl2_182
| ~ spl2_243 ),
inference(sat_conversion,[],[f9619]) ).
cnf(s867,plain,
( spl2_24
| spl2_119
| ~ spl2_182 ),
inference(sat_conversion,[],[f9623]) ).
cnf(s871,plain,
( ~ spl2_119
| ~ spl2_121
| spl2_250 ),
inference(sat_conversion,[],[f9645]) ).
cnf(s881,plain,
( ~ spl2_18
| ~ spl2_181
| spl2_194 ),
inference(sat_conversion,[],[f9699]) ).
cnf(s886,plain,
( ~ spl2_49
| ~ spl2_54
| ~ spl2_243 ),
inference(sat_conversion,[],[f9764]) ).
cnf(s888,plain,
( ~ spl2_39
| spl2_54 ),
inference(sat_conversion,[],[f9768]) ).
cnf(s891,plain,
( spl2_115
| ~ spl2_168
| ~ spl2_230 ),
inference(sat_conversion,[],[f9798]) ).
cnf(s895,plain,
( ~ spl2_115
| ~ spl2_205 ),
inference(sat_conversion,[],[f9808]) ).
cnf(s897,plain,
( spl2_37
| ~ spl2_115 ),
inference(sat_conversion,[],[f9817]) ).
cnf(s901,plain,
( ~ spl2_67
| ~ spl2_184
| spl2_193 ),
inference(sat_conversion,[],[f9840]) ).
cnf(s905,plain,
( ~ spl2_98
| ~ spl2_168
| spl2_245 ),
inference(sat_conversion,[],[f9872]) ).
cnf(s906,plain,
( ~ spl2_167
| ~ spl2_175 ),
inference(sat_conversion,[],[f9874]) ).
cnf(s907,plain,
( ~ spl2_243
| ~ spl2_250 ),
inference(sat_conversion,[],[f9876]) ).
cnf(s908,plain,
( ~ spl2_194
| ~ spl2_250 ),
inference(sat_conversion,[],[f9878]) ).
cnf(s912,plain,
( ~ spl2_162
| ~ spl2_165
| spl2_175
| spl2_243 ),
inference(sat_conversion,[],[f9884]) ).
cnf(s919,plain,
( ~ spl2_8
| ~ spl2_95
| ~ spl2_168 ),
inference(sat_conversion,[],[f9942]) ).
cnf(s927,plain,
( spl2_173
| ~ spl2_194
| spl2_197 ),
inference(sat_conversion,[],[f10001]) ).
cnf(s932,plain,
( ~ spl2_21
| ~ spl2_198
| ~ spl2_243 ),
inference(sat_conversion,[],[f10040]) ).
cnf(s942,plain,
( ~ spl2_95
| ~ spl2_164
| ~ spl2_198 ),
inference(sat_conversion,[],[f10080]) ).
cnf(s950,plain,
( spl2_94
| ~ spl2_165
| spl2_181 ),
inference(sat_conversion,[],[f10113]) ).
cnf(s954,plain,
( ~ spl2_21
| ~ spl2_97
| ~ spl2_194 ),
inference(sat_conversion,[],[f10140]) ).
cnf(s958,plain,
( ~ spl2_167
| ~ spl2_181
| spl2_182
| spl2_184 ),
inference(sat_conversion,[],[f10176]) ).
cnf(s960,plain,
( ~ spl2_164
| ~ spl2_168
| ~ spl2_193 ),
inference(sat_conversion,[],[f10193]) ).
cnf(s964,plain,
( ~ spl2_9
| ~ spl2_60
| spl2_115 ),
inference(sat_conversion,[],[f10214]) ).
cnf(s972,plain,
( spl2_176
| ~ spl2_179
| ~ spl2_265 ),
inference(sat_conversion,[],[f10278]) ).
cnf(s975,plain,
( ~ spl2_32
| ~ spl2_33
| ~ spl2_133 ),
inference(sat_conversion,[],[f10307]) ).
cnf(s982,plain,
( ~ spl2_164
| ~ spl2_197
| spl2_220 ),
inference(sat_conversion,[],[f10362]) ).
cnf(s985,plain,
( ~ spl2_8
| ~ spl2_21
| ~ spl2_59 ),
inference(sat_conversion,[],[f10365]) ).
cnf(s988,plain,
( spl2_205
| spl2_265 ),
inference(sat_conversion,[],[f10369]) ).
cnf(s1002,plain,
( ~ spl2_20
| ~ spl2_21
| ~ spl2_198 ),
inference(sat_conversion,[],[f10458]) ).
cnf(s1007,plain,
( spl2_22
| spl2_32
| spl2_45 ),
inference(sat_conversion,[],[f10465]) ).
cnf(s1034,plain,
( ~ spl2_33
| ~ spl2_97
| ~ spl2_205 ),
inference(sat_conversion,[],[f10603]) ).
cnf(s1035,plain,
( ~ spl2_20
| ~ spl2_59
| ~ spl2_193 ),
inference(sat_conversion,[],[f10617]) ).
cnf(s1039,plain,
( ~ spl2_32
| ~ spl2_94
| ~ spl2_173 ),
inference(sat_conversion,[],[f10628]) ).
cnf(s1040,plain,
( spl2_37
| spl2_54 ),
inference(sat_conversion,[],[f10630]) ).
cnf(s1041,plain,
( ~ spl2_31
| ~ spl2_40
| spl2_54 ),
inference(sat_conversion,[],[f10631]) ).
cnf(s1044,plain,
( ~ spl2_12
| ~ spl2_173 ),
inference(sat_conversion,[],[f10647]) ).
cnf(s1055,plain,
( ~ spl2_8
| ~ spl2_180
| ~ spl2_184 ),
inference(sat_conversion,[],[f10686]) ).
cnf(s1056,plain,
( ~ spl2_54
| ~ spl2_173
| ~ spl2_205 ),
inference(sat_conversion,[],[f10687]) ).
cnf(s1067,plain,
( ~ spl2_48
| ~ spl2_59
| spl2_115 ),
inference(sat_conversion,[],[f10747]) ).
cnf(s1069,plain,
( spl2_7
| ~ spl2_49
| ~ spl2_59 ),
inference(sat_conversion,[],[f10759]) ).
cnf(s1077,plain,
( ~ spl2_6
| spl2_17
| ~ spl2_18 ),
inference(sat_conversion,[],[f10811]) ).
cnf(s1080,plain,
( ~ spl2_164
| ~ spl2_184
| ~ spl2_200 ),
inference(sat_conversion,[],[f10833]) ).
cnf(s1083,plain,
( ~ spl2_164
| ~ spl2_166
| ~ spl2_203 ),
inference(sat_conversion,[],[f10855]) ).
cnf(s1092,plain,
( ~ spl2_76
| spl2_95
| spl2_168
| spl2_183 ),
inference(sat_conversion,[],[f10942]) ).
cnf(s1101,plain,
( ~ spl2_110
| spl2_180
| spl2_191
| ~ spl2_194
| ~ spl2_201 ),
inference(sat_conversion,[],[f11039]) ).
cnf(s1104,plain,
( ~ spl2_178
| spl2_191
| spl2_204 ),
inference(sat_conversion,[],[f11069]) ).
cnf(s1109,plain,
( ~ spl2_31
| spl2_91 ),
inference(sat_conversion,[],[f11087]) ).
cnf(s1112,plain,
( ~ spl2_10
| spl2_21
| spl2_32 ),
inference(sat_conversion,[],[f11133]) ).
cnf(s1115,plain,
( ~ spl2_8
| ~ spl2_27
| ~ spl2_31
| spl2_47
| spl2_268 ),
inference(sat_conversion,[],[f11191]) ).
cnf(s1118,plain,
( ~ spl2_8
| spl2_183
| ~ spl2_198
| ~ spl2_268
| spl2_270 ),
inference(sat_conversion,[],[f11233]) ).
cnf(s1141,plain,
( spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_182
| ~ spl2_268
| ~ spl2_270
| ~ spl2_276
| spl2_287
| spl2_288 ),
inference(sat_conversion,[],[f11593]) ).
cnf(s1144,plain,
( spl2_191
| ~ spl2_287 ),
inference(sat_conversion,[],[f11654]) ).
cnf(s1145,plain,
( ~ spl2_216
| ~ spl2_277
| spl2_290
| spl2_291 ),
inference(sat_conversion,[],[f11685]) ).
cnf(s1146,plain,
( ~ spl2_277
| spl2_291
| ~ spl2_292
| spl2_293 ),
inference(sat_conversion,[],[f11693]) ).
cnf(s1152,plain,
( ~ spl2_38
| spl2_180
| ~ spl2_277
| spl2_294 ),
inference(sat_conversion,[],[f11720]) ).
cnf(s1156,plain,
( ~ spl2_184
| ~ spl2_198
| ~ spl2_288 ),
inference(sat_conversion,[],[f11743]) ).
cnf(s1158,plain,
( ~ spl2_291
| spl2_297 ),
inference(sat_conversion,[],[f11769]) ).
cnf(s1159,plain,
( spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_175
| spl2_182
| ~ spl2_268
| ~ spl2_270
| spl2_287
| ~ spl2_291 ),
inference(sat_conversion,[],[f11770]) ).
cnf(s1162,plain,
( spl2_22
| ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_176
| spl2_182
| ~ spl2_268
| ~ spl2_270
| spl2_287
| ~ spl2_290 ),
inference(sat_conversion,[],[f11794]) ).
cnf(s1163,plain,
( spl2_184
| spl2_275 ),
inference(sat_conversion,[],[f11798]) ).
cnf(s1166,plain,
( spl2_182
| spl2_184
| spl2_275 ),
inference(sat_conversion,[],[f11803]) ).
cnf(s1187,plain,
( spl2_189
| ~ spl2_243
| spl2_254 ),
inference(sat_conversion,[],[f11911]) ).
cnf(s1188,plain,
( ~ spl2_84
| ~ spl2_180
| ~ spl2_243 ),
inference(sat_conversion,[],[f11913]) ).
cnf(s1191,plain,
( spl2_204
| spl2_292 ),
inference(sat_conversion,[],[f11924]) ).
cnf(s1205,plain,
( ~ spl2_6
| ~ spl2_275
| ~ spl2_277
| spl2_303 ),
inference(sat_conversion,[],[f12070]) ).
cnf(s1210,plain,
( spl2_175
| ~ spl2_282
| spl2_295 ),
inference(sat_conversion,[],[f12140]) ).
cnf(s1220,plain,
( spl2_115
| ~ spl2_180
| ~ spl2_192 ),
inference(sat_conversion,[],[f12242]) ).
cnf(s1226,plain,
( spl2_7
| ~ spl2_180
| ~ spl2_202 ),
inference(sat_conversion,[],[f12279]) ).
cnf(s1251,plain,
( spl2_293
| ~ spl2_295
| ~ spl2_341 ),
inference(sat_conversion,[],[f12462]) ).
cnf(s1252,plain,
( spl2_290
| ~ spl2_295
| ~ spl2_342 ),
inference(sat_conversion,[],[f12466]) ).
cnf(s1258,plain,
( spl2_84
| ~ spl2_180
| ~ spl2_254 ),
inference(sat_conversion,[],[f12520]) ).
cnf(s1272,plain,
( spl2_68
| ~ spl2_303
| ~ spl2_308 ),
inference(sat_conversion,[],[f12613]) ).
cnf(s1275,plain,
( ~ spl2_180
| ~ spl2_283
| ~ spl2_311 ),
inference(sat_conversion,[],[f12640]) ).
cnf(s1276,plain,
( ~ spl2_204
| ~ spl2_283
| ~ spl2_311 ),
inference(sat_conversion,[],[f12642]) ).
cnf(s1281,plain,
( ~ spl2_217
| ~ spl2_282
| ~ spl2_330 ),
inference(sat_conversion,[],[f12684]) ).
cnf(s1282,plain,
( ~ spl2_6
| spl2_184
| ~ spl2_282
| ~ spl2_330 ),
inference(sat_conversion,[],[f12686]) ).
cnf(s1285,plain,
( ~ spl2_179
| ~ spl2_282
| spl2_287
| spl2_350 ),
inference(sat_conversion,[],[f12704]) ).
cnf(s1286,plain,
( ~ spl2_97
| ~ spl2_303
| ~ spl2_350 ),
inference(sat_conversion,[],[f12714]) ).
cnf(s1312,plain,
( spl2_118
| spl2_119
| spl2_120
| ~ spl2_355 ),
inference(sat_conversion,[],[f12934]) ).
cnf(s1313,plain,
( ~ spl2_6
| spl2_56
| spl2_71
| ~ spl2_355 ),
inference(sat_conversion,[],[f12935]) ).
cnf(s1314,plain,
( spl2_11
| spl2_56
| ~ spl2_355 ),
inference(sat_conversion,[],[f12937]) ).
cnf(s1315,plain,
( spl2_24
| spl2_119
| ~ spl2_355 ),
inference(sat_conversion,[],[f12939]) ).
cnf(s1316,plain,
( spl2_21
| ~ spl2_88
| spl2_122
| ~ spl2_355 ),
inference(sat_conversion,[],[f12941]) ).
cnf(s1317,plain,
( spl2_5
| spl2_56
| spl2_71
| ~ spl2_355 ),
inference(sat_conversion,[],[f12942]) ).
cnf(s1327,plain,
( spl2_24
| spl2_119
| ~ spl2_312 ),
inference(sat_conversion,[],[f13011]) ).
cnf(s1329,plain,
( spl2_21
| ~ spl2_31
| spl2_119
| spl2_182
| ~ spl2_312 ),
inference(sat_conversion,[],[f13015]) ).
cnf(s1331,plain,
( ~ spl2_8
| ~ spl2_110
| spl2_293
| ~ spl2_303
| spl2_312 ),
inference(sat_conversion,[],[f13043]) ).
cnf(s1343,plain,
( ~ spl2_8
| ~ spl2_55
| ~ spl2_303
| spl2_312
| spl2_368 ),
inference(sat_conversion,[],[f13135]) ).
cnf(s1344,plain,
( ~ spl2_8
| ~ spl2_327
| ~ spl2_329 ),
inference(sat_conversion,[],[f13141]) ).
cnf(s1429,plain,
( ~ spl2_8
| ~ spl2_97
| ~ spl2_240
| spl2_287
| ~ spl2_303 ),
inference(sat_conversion,[],[f13815]) ).
cnf(s1430,plain,
( spl2_303
| spl2_330 ),
inference(sat_conversion,[],[f13816]) ).
cnf(s1431,plain,
( spl2_303
| spl2_330
| spl2_355 ),
inference(sat_conversion,[],[f13817]) ).
cnf(s1441,plain,
( ~ spl2_165
| ~ spl2_179
| ~ spl2_274 ),
inference(sat_conversion,[],[f14063]) ).
cnf(s1443,plain,
( ~ spl2_193
| spl2_231
| ~ spl2_274 ),
inference(sat_conversion,[],[f14065]) ).
cnf(s1451,plain,
( ~ spl2_95
| spl2_184
| ~ spl2_274 ),
inference(sat_conversion,[],[f14076]) ).
cnf(s1461,plain,
( ~ spl2_31
| spl2_182
| spl2_303
| spl2_368 ),
inference(sat_conversion,[],[f14106]) ).
cnf(s1462,plain,
( ~ spl2_55
| spl2_294
| spl2_312
| spl2_368 ),
inference(sat_conversion,[],[f14107]) ).
cnf(s1479,plain,
( spl2_243
| spl2_341 ),
inference(sat_conversion,[],[f14211]) ).
cnf(s1482,plain,
( ~ spl2_18
| ~ spl2_217
| spl2_243 ),
inference(sat_conversion,[],[f14214]) ).
cnf(s1484,plain,
( ~ spl2_179
| spl2_243
| ~ spl2_244 ),
inference(sat_conversion,[],[f14216]) ).
cnf(s1486,plain,
( ~ spl2_6
| spl2_95
| ~ spl2_167
| ~ spl2_275 ),
inference(sat_conversion,[],[f14217]) ).
cnf(s1508,plain,
( ~ spl2_21
| ~ spl2_293
| ~ spl2_309 ),
inference(sat_conversion,[],[f14330]) ).
cnf(s1512,plain,
( ~ spl2_193
| ~ spl2_283
| ~ spl2_294 ),
inference(sat_conversion,[],[f14341]) ).
cnf(s1515,plain,
( ~ spl2_13
| spl2_33
| spl2_384 ),
inference(sat_conversion,[],[f14348]) ).
cnf(s1517,plain,
( spl2_176
| spl2_342 ),
inference(sat_conversion,[],[f14350]) ).
cnf(s1521,plain,
( ~ spl2_25
| ~ spl2_303
| ~ spl2_368 ),
inference(sat_conversion,[],[f14356]) ).
cnf(s1534,plain,
( ~ spl2_13
| spl2_33
| spl2_180
| ~ spl2_275 ),
inference(sat_conversion,[],[f14381]) ).
cnf(s1535,plain,
( ~ spl2_38
| spl2_60
| spl2_180
| ~ spl2_275 ),
inference(sat_conversion,[],[f14382]) ).
cnf(s1543,plain,
( ~ spl2_59
| ~ spl2_250 ),
inference(sat_conversion,[],[f14420]) ).
cnf(s1544,plain,
( ~ spl2_21
| ~ spl2_250 ),
inference(sat_conversion,[],[f14424]) ).
cnf(s1546,plain,
( ~ spl2_56
| spl2_95
| ~ spl2_183 ),
inference(sat_conversion,[],[f14475]) ).
cnf(s1547,plain,
( spl2_32
| ~ spl2_163
| ~ spl2_183 ),
inference(sat_conversion,[],[f14476]) ).
cnf(s1548,plain,
( ~ spl2_119
| ~ spl2_183
| spl2_204 ),
inference(sat_conversion,[],[f14477]) ).
cnf(s1549,plain,
( ~ spl2_21
| ~ spl2_183
| spl2_184 ),
inference(sat_conversion,[],[f14479]) ).
cnf(s1555,plain,
( spl2_24
| spl2_119
| ~ spl2_183 ),
inference(sat_conversion,[],[f14486]) ).
cnf(s1559,plain,
( spl2_15
| spl2_21
| spl2_22
| spl2_91 ),
inference(sat_conversion,[],[f14493]) ).
cnf(s1563,plain,
( ~ spl2_42
| ~ spl2_45
| spl2_54
| spl2_118 ),
inference(sat_conversion,[],[f14519]) ).
cnf(s1564,plain,
( ~ spl2_4
| ~ spl2_42
| ~ spl2_45
| spl2_59 ),
inference(sat_conversion,[],[f14520]) ).
cnf(s1569,plain,
( spl2_8
| spl2_9
| ~ spl2_60 ),
inference(sat_conversion,[],[f14533]) ).
cnf(s1580,plain,
( ~ spl2_184
| spl2_198
| spl2_199 ),
inference(sat_conversion,[],[f14589]) ).
cnf(s1587,plain,
( ~ spl2_8
| ~ spl2_294
| ~ spl2_303 ),
inference(sat_conversion,[],[f14637]) ).
cnf(s1590,plain,
( ~ spl2_290
| spl2_301
| spl2_302 ),
inference(sat_conversion,[],[f14642]) ).
cnf(s1622,plain,
( ~ spl2_33
| ~ spl2_290
| ~ spl2_309 ),
inference(sat_conversion,[],[f14877]) ).
cnf(s1637,plain,
( ~ spl2_23
| ~ spl2_167
| spl2_243 ),
inference(sat_conversion,[],[f15014]) ).
cnf(s1641,plain,
( spl2_59
| ~ spl2_74
| ~ spl2_184
| ~ spl2_204 ),
inference(sat_conversion,[],[f15053]) ).
cnf(s1642,plain,
( ~ spl2_283
| ~ spl2_304
| spl2_349 ),
inference(sat_conversion,[],[f15066]) ).
cnf(s1643,plain,
( spl2_115
| ~ spl2_294
| ~ spl2_304 ),
inference(sat_conversion,[],[f15067]) ).
cnf(s1657,plain,
( ~ spl2_204
| spl2_250
| ~ spl2_305 ),
inference(sat_conversion,[],[f15176]) ).
cnf(s1660,plain,
( ~ spl2_189
| ~ spl2_283
| ~ spl2_368 ),
inference(sat_conversion,[],[f15186]) ).
cnf(s1663,plain,
( ~ spl2_173
| ~ spl2_350
| ~ spl2_368 ),
inference(sat_conversion,[],[f15199]) ).
cnf(s1664,plain,
( ~ spl2_231
| ~ spl2_294
| ~ spl2_350 ),
inference(sat_conversion,[],[f15201]) ).
cnf(s1666,plain,
( ~ spl2_32
| ~ spl2_189
| ~ spl2_218 ),
inference(sat_conversion,[],[f15203]) ).
cnf(s1667,plain,
( ~ spl2_40
| ~ spl2_181
| spl2_205 ),
inference(sat_conversion,[],[f15204]) ).
cnf(s1668,plain,
( ~ spl2_59
| ~ spl2_194
| ~ spl2_231 ),
inference(sat_conversion,[],[f15206]) ).
cnf(s1669,plain,
( ~ spl2_59
| ~ spl2_293
| ~ spl2_301 ),
inference(sat_conversion,[],[f15207]) ).
cnf(s1675,plain,
( ~ spl2_115
| ~ spl2_290 ),
inference(sat_conversion,[],[f15220]) ).
cnf(s1678,plain,
( ~ spl2_68
| ~ spl2_218 ),
inference(sat_conversion,[],[f15233]) ).
cnf(s1682,plain,
( spl2_21
| ~ spl2_118 ),
inference(sat_conversion,[],[f15249]) ).
cnf(s1684,plain,
( ~ spl2_68
| ~ spl2_94 ),
inference(sat_conversion,[],[f15276]) ).
cnf(s1690,plain,
( ~ spl2_20
| spl2_293 ),
inference(sat_conversion,[],[f15338]) ).
cnf(s1692,plain,
( ~ spl2_20
| ~ spl2_124
| ~ spl2_184 ),
inference(sat_conversion,[],[f15346]) ).
cnf(s1694,plain,
( ~ spl2_32
| ~ spl2_68 ),
inference(sat_conversion,[],[f15353]) ).
cnf(s1706,plain,
( ~ spl2_51
| spl2_194
| spl2_206 ),
inference(sat_conversion,[],[f15418]) ).
cnf(s1707,plain,
( spl2_8
| ~ spl2_33
| spl2_92 ),
inference(sat_conversion,[],[f15421]) ).
cnf(s1711,plain,
( ~ spl2_206
| spl2_274 ),
inference(sat_conversion,[],[f15494]) ).
cnf(s1721,plain,
( ~ spl2_118
| spl2_119
| ~ spl2_206 ),
inference(sat_conversion,[],[f15506]) ).
cnf(s1730,plain,
( ~ spl2_165
| spl2_175
| spl2_179 ),
inference(sat_conversion,[],[f15628]) ).
cnf(s1733,plain,
( ~ spl2_167
| spl2_179
| spl2_214 ),
inference(sat_conversion,[],[f15653]) ).
cnf(s1739,plain,
( ~ spl2_32
| ~ spl2_92
| spl2_133 ),
inference(sat_conversion,[],[f15703]) ).
cnf(s1757,plain,
( ~ spl2_25
| ~ spl2_32
| ~ spl2_56 ),
inference(sat_conversion,[],[f15805]) ).
cnf(s1760,plain,
( ~ spl2_74
| ~ spl2_184
| ~ spl2_276
| spl2_294 ),
inference(sat_conversion,[],[f15810]) ).
cnf(s1773,plain,
( ~ spl2_198
| ~ spl2_283
| ~ spl2_303 ),
inference(sat_conversion,[],[f15883]) ).
cnf(s1775,plain,
( ~ spl2_25
| ~ spl2_184
| ~ spl2_204 ),
inference(sat_conversion,[],[f15898]) ).
cnf(s1782,plain,
( ~ spl2_201
| ~ spl2_274
| spl2_284 ),
inference(sat_conversion,[],[f15990]) ).
cnf(s1788,plain,
( spl2_95
| ~ spl2_184
| ~ spl2_274 ),
inference(sat_conversion,[],[f15997]) ).
cnf(s1789,plain,
( ~ spl2_168
| spl2_180
| ~ spl2_274 ),
inference(sat_conversion,[],[f15999]) ).
cnf(s1792,plain,
( spl2_164
| spl2_175
| spl2_179
| spl2_274 ),
inference(sat_conversion,[],[f16010]) ).
cnf(s1795,plain,
( ~ spl2_163
| spl2_173
| spl2_174 ),
inference(sat_conversion,[],[f16023]) ).
cnf(s1796,plain,
( ~ spl2_27
| ~ spl2_163
| ~ spl2_168 ),
inference(sat_conversion,[],[f16025]) ).
cnf(s1797,plain,
( ~ spl2_32
| ~ spl2_54
| ~ spl2_108 ),
inference(sat_conversion,[],[f16039]) ).
cnf(s1806,plain,
( ~ spl2_27
| ~ spl2_294
| ~ spl2_368 ),
inference(sat_conversion,[],[f16119]) ).
cnf(s1818,plain,
( ~ spl2_25
| ~ spl2_329
| ~ spl2_395 ),
inference(sat_conversion,[],[f16190]) ).
cnf(s1830,plain,
( ~ spl2_21
| ~ spl2_32
| ~ spl2_184
| ~ spl2_236 ),
inference(sat_conversion,[],[f16291]) ).
cnf(s1831,plain,
( spl2_7
| ~ spl2_294
| ~ spl2_302 ),
inference(sat_conversion,[],[f16302]) ).
cnf(s1838,plain,
( spl2_68
| ~ spl2_329
| ~ spl2_369 ),
inference(sat_conversion,[],[f16341]) ).
cnf(s1860,plain,
( ~ spl2_54
| ~ spl2_88
| ~ spl2_290
| spl2_303 ),
inference(sat_conversion,[],[f16509]) ).
cnf(s1863,plain,
( ~ spl2_285
| ~ spl2_294
| spl2_402 ),
inference(sat_conversion,[],[f16527]) ).
cnf(s1864,plain,
( ~ spl2_166
| ~ spl2_168
| ~ spl2_402 ),
inference(sat_conversion,[],[f16539]) ).
cnf(s1883,plain,
( ~ spl2_166
| ~ spl2_205
| ~ spl2_349 ),
inference(sat_conversion,[],[f16634]) ).
cnf(s1893,plain,
( ~ spl2_61
| spl2_180
| spl2_218 ),
inference(sat_conversion,[],[f16762]) ).
cnf(s1898,plain,
( ~ spl2_21
| ~ spl2_110
| spl2_180
| spl2_191
| ~ spl2_198 ),
inference(sat_conversion,[],[f16873]) ).
cnf(s1903,plain,
( spl2_60
| spl2_95
| spl2_183
| ~ spl2_241 ),
inference(sat_conversion,[],[f16946]) ).
cnf(s1907,plain,
( ~ spl2_297
| spl2_312
| spl2_368 ),
inference(sat_conversion,[],[f16991]) ).
cnf(s1910,plain,
( ~ spl2_231
| spl2_287
| ~ spl2_294
| ~ spl2_297 ),
inference(sat_conversion,[],[f16996]) ).
cnf(s1915,plain,
( ~ spl2_46
| spl2_60
| spl2_113 ),
inference(sat_conversion,[],[f17054]) ).
cnf(s1923,plain,
( ~ spl2_21
| ~ spl2_69
| spl2_180
| ~ spl2_198 ),
inference(sat_conversion,[],[f17208]) ).
cnf(s1924,plain,
( ~ spl2_38
| spl2_180
| ~ spl2_279
| ~ spl2_286
| spl2_287
| ~ spl2_301 ),
inference(sat_conversion,[],[f17286]) ).
cnf(s1925,plain,
( ~ spl2_38
| spl2_327
| ~ spl2_370
| spl2_407 ),
inference(sat_conversion,[],[f17290]) ).
cnf(s1940,plain,
( ~ spl2_218
| ~ spl2_286
| ~ spl2_315 ),
inference(sat_conversion,[],[f17369]) ).
cnf(s1950,plain,
( spl2_33
| ~ spl2_39 ),
inference(sat_conversion,[],[f17430]) ).
cnf(s1955,plain,
( ~ spl2_63
| spl2_294
| spl2_303 ),
inference(sat_conversion,[],[f17447]) ).
cnf(s1956,plain,
( ~ spl2_41
| spl2_290
| spl2_303 ),
inference(sat_conversion,[],[f17449]) ).
cnf(s1957,plain,
( ~ spl2_61
| spl2_94
| spl2_168 ),
inference(sat_conversion,[],[f17450]) ).
cnf(s1961,plain,
( ~ spl2_6
| spl2_10
| ~ spl2_11 ),
inference(sat_conversion,[],[f17455]) ).
cnf(s1963,plain,
( ~ spl2_76
| spl2_294
| spl2_303
| spl2_355 ),
inference(sat_conversion,[],[f17458]) ).
cnf(s1964,plain,
( spl2_290
| spl2_303
| spl2_355
| ~ spl2_384 ),
inference(sat_conversion,[],[f17459]) ).
cnf(s2000,plain,
( spl2_198
| ~ spl2_218
| spl2_236 ),
inference(sat_conversion,[],[f17587]) ).
cnf(s2020,plain,
~ spl2_22,
inference(sat_conversion,[],[f17634]) ).
cnf(s2021,plain,
( spl2_33
| ~ spl2_71 ),
inference(sat_conversion,[],[f17636]) ).
cnf(s2022,plain,
( spl2_22
| spl2_164
| spl2_165 ),
inference(sat_conversion,[],[f17647]) ).
cnf(s2023,plain,
( spl2_22
| spl2_162
| spl2_163 ),
inference(sat_conversion,[],[f17648]) ).
cnf(s2024,plain,
( spl2_22
| spl2_166
| spl2_167 ),
inference(sat_conversion,[],[f17649]) ).
cnf(s2025,plain,
( spl2_5
| spl2_21
| spl2_22
| spl2_31 ),
inference(sat_conversion,[],[f17650]) ).
cnf(s2031,plain,
( ~ spl2_46
| spl2_128
| ~ spl2_250 ),
inference(sat_conversion,[],[f17677]) ).
cnf(s2033,plain,
( spl2_166
| spl2_179
| spl2_214
| spl2_274 ),
inference(sat_conversion,[],[f17699]) ).
cnf(s2043,plain,
( ~ spl2_12
| spl2_315 ),
inference(sat_conversion,[],[f17744]) ).
cnf(s2044,plain,
( ~ spl2_12
| ~ spl2_284 ),
inference(sat_conversion,[],[f17749]) ).
cnf(s2049,plain,
( spl2_5
| spl2_33
| ~ spl2_216
| ~ spl2_275 ),
inference(sat_conversion,[],[f17760]) ).
cnf(s2053,plain,
( spl2_5
| spl2_217
| ~ spl2_275 ),
inference(sat_conversion,[],[f17764]) ).
cnf(s2056,plain,
( ~ spl2_168
| spl2_230
| spl2_231 ),
inference(sat_conversion,[],[f17767]) ).
cnf(s2058,plain,
( ~ spl2_294
| spl2_301
| spl2_304 ),
inference(sat_conversion,[],[f17769]) ).
cnf(s2059,plain,
( spl2_51
| spl2_54
| spl2_55 ),
inference(sat_conversion,[],[f17785]) ).
cnf(s2063,plain,
( ~ spl2_21
| spl2_25
| spl2_50 ),
inference(sat_conversion,[],[f17798]) ).
cnf(s2064,plain,
( ~ spl2_4
| ~ spl2_36
| spl2_69 ),
inference(sat_conversion,[],[f17815]) ).
cnf(s2070,plain,
( spl2_164
| spl2_175
| spl2_179
| spl2_274 ),
inference(sat_conversion,[],[f17845]) ).
cnf(s2071,plain,
( spl2_166
| spl2_179
| spl2_214
| spl2_274 ),
inference(sat_conversion,[],[f17846]) ).
cnf(s2072,plain,
( spl2_274
| spl2_278
| spl2_279 ),
inference(sat_conversion,[],[f17847]) ).
cnf(s2073,plain,
( spl2_274
| spl2_276
| spl2_277 ),
inference(sat_conversion,[],[f17848]) ).
cnf(s2074,plain,
( spl2_274
| spl2_282
| spl2_283 ),
inference(sat_conversion,[],[f17849]) ).
cnf(s2077,plain,
( spl2_118
| ~ spl2_162
| spl2_235 ),
inference(sat_conversion,[],[f17866]) ).
cnf(s2085,plain,
( spl2_189
| ~ spl2_204
| spl2_305 ),
inference(sat_conversion,[],[f17886]) ).
cnf(s2088,plain,
( ~ spl2_164
| spl2_200
| spl2_201 ),
inference(sat_conversion,[],[f17901]) ).
cnf(s2089,plain,
( ~ spl2_166
| spl2_201
| spl2_203 ),
inference(sat_conversion,[],[f17906]) ).
cnf(s2095,plain,
( spl2_321
| spl2_355
| spl2_395 ),
inference(sat_conversion,[],[f17939]) ).
cnf(s2102,plain,
( ~ spl2_276
| spl2_285
| spl2_286 ),
inference(sat_conversion,[],[f17996]) ).
cnf(s2103,plain,
( ~ spl2_283
| spl2_286
| spl2_311 ),
inference(sat_conversion,[],[f18001]) ).
cnf(s2115,plain,
( ~ spl2_6
| ~ spl2_278
| spl2_303
| spl2_329 ),
inference(sat_conversion,[],[f18105]) ).
cnf(s2116,plain,
( ~ spl2_278
| spl2_291
| spl2_293
| ~ spl2_321 ),
inference(sat_conversion,[],[f18107]) ).
cnf(s2123,plain,
( ~ spl2_329
| spl2_369
| spl2_370 ),
inference(sat_conversion,[],[f18146]) ).
cnf(s2125,plain,
( ~ spl2_8
| ~ spl2_21
| spl2_355
| ~ spl2_407 ),
inference(sat_conversion,[],[f18157]) ).
cnf(s2127,plain,
( ~ spl2_40
| spl2_176
| ~ spl2_217 ),
inference(sat_conversion,[],[f18162]) ).
cnf(s2129,plain,
( ~ spl2_4
| spl2_34
| spl2_60 ),
inference(sat_conversion,[],[f18167]) ).
cnf(s2130,plain,
( ~ spl2_180
| ~ spl2_276
| ~ spl2_301 ),
inference(sat_conversion,[],[f18168]) ).
cnf(s2131,plain,
( ~ spl2_6
| ~ spl2_40
| spl2_41 ),
inference(sat_conversion,[],[f18169]) ).
cnf(s2132,plain,
( ~ spl2_4
| ~ spl2_42
| spl2_61 ),
inference(sat_conversion,[],[f18170]) ).
cnf(s2134,plain,
( ~ spl2_4
| spl2_60
| ~ spl2_216
| ~ spl2_275 ),
inference(sat_conversion,[],[f18172]) ).
cnf(s2136,plain,
( spl2_94
| ~ spl2_162
| spl2_181 ),
inference(sat_conversion,[],[f18174]) ).
cnf(s2137,plain,
( spl2_15
| spl2_33
| spl2_76 ),
inference(sat_conversion,[],[f18178]) ).
cnf(s2139,plain,
( spl2_47
| spl2_60
| spl2_76 ),
inference(sat_conversion,[],[f18184]) ).
cnf(s2140,plain,
( ~ spl2_122
| ~ spl2_204 ),
inference(sat_conversion,[],[f18189]) ).
cnf(s2141,plain,
( ~ spl2_32
| ~ spl2_122 ),
inference(sat_conversion,[],[f18191]) ).
cnf(s2142,plain,
( spl2_51
| ~ spl2_122
| spl2_213 ),
inference(sat_conversion,[],[f18194]) ).
cnf(s2143,plain,
( ~ spl2_37
| spl2_205
| ~ spl2_235 ),
inference(sat_conversion,[],[f18195]) ).
cnf(s2144,plain,
( spl2_54
| spl2_118
| ~ spl2_162
| ~ spl2_169 ),
inference(sat_conversion,[],[f18196]) ).
cnf(s2150,plain,
( spl2_27
| spl2_49
| ~ spl2_54 ),
inference(sat_conversion,[],[f18212]) ).
cnf(s2151,plain,
( spl2_27
| spl2_48
| ~ spl2_59 ),
inference(sat_conversion,[],[f18215]) ).
cnf(s2153,plain,
( spl2_47
| spl2_168
| spl2_240 ),
inference(sat_conversion,[],[f18222]) ).
cnf(s2154,plain,
( ~ spl2_94
| spl2_97
| spl2_98 ),
inference(sat_conversion,[],[f18225]) ).
cnf(s2155,plain,
( ~ spl2_95
| spl2_97
| spl2_188 ),
inference(sat_conversion,[],[f18228]) ).
cnf(s2156,plain,
( ~ spl2_176
| spl2_193
| spl2_202 ),
inference(sat_conversion,[],[f18233]) ).
cnf(s2158,plain,
( ~ spl2_180
| spl2_192
| spl2_193 ),
inference(sat_conversion,[],[f18240]) ).
cnf(s2165,plain,
( ~ spl2_303
| spl2_308
| spl2_309 ),
inference(sat_conversion,[],[f18288]) ).
cnf(s2209,plain,
( spl2_60
| ~ spl2_213 ),
inference(sat_conversion,[],[f18590]) ).
cnf(s2210,plain,
( spl2_33
| ~ spl2_213 ),
inference(sat_conversion,[],[f18592]) ).
cnf(s2212,plain,
( ~ spl2_38
| spl2_60
| spl2_61 ),
inference(sat_conversion,[],[f18663]) ).
cnf(s2215,plain,
( spl2_163
| spl2_194
| spl2_206
| ~ spl2_233 ),
inference(sat_conversion,[],[f18787]) ).
cnf(s2219,plain,
( ~ spl2_21
| ~ spl2_97
| spl2_163
| spl2_206
| ~ spl2_233 ),
inference(sat_conversion,[],[f18794]) ).
cnf(s2224,plain,
( ~ spl2_193
| ~ spl2_201
| ~ spl2_240
| ~ spl2_283
| spl2_287 ),
inference(sat_conversion,[],[f18840]) ).
cnf(s2227,plain,
( spl2_15
| spl2_21
| spl2_91 ),
inference(rat,[],[s1559,s2020]) ).
cnf(s2250,plain,
( ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_176
| spl2_182
| ~ spl2_268
| ~ spl2_270
| spl2_287
| ~ spl2_290 ),
inference(rat,[],[s1162,s2020]) ).
cnf(s2251,plain,
( ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_175
| spl2_182
| ~ spl2_268
| ~ spl2_270
| spl2_287
| ~ spl2_291 ),
inference(rat,[],[s1159,s2020]) ).
cnf(s2253,plain,
( ~ spl2_27
| ~ spl2_31
| ~ spl2_173
| spl2_182
| ~ spl2_268
| ~ spl2_270
| ~ spl2_276
| spl2_287
| spl2_288 ),
inference(rat,[],[s1141,s2020]) ).
cnf(s2261,plain,
( spl2_32
| spl2_45 ),
inference(rat,[],[s1007,s2020]) ).
cnf(s2266,plain,
( spl2_194
| spl2_244 ),
inference(rat,[],[s737,s2020]) ).
cnf(s2269,plain,
( ~ spl2_127
| spl2_168 ),
inference(rat,[],[s654,s2020]) ).
cnf(s2270,plain,
( ~ spl2_13
| spl2_21
| ~ spl2_24 ),
inference(rat,[],[s640,s2020]) ).
cnf(s2273,plain,
( spl2_18
| spl2_21 ),
inference(rat,[],[s616,s2020]) ).
cnf(s2274,plain,
( ~ spl2_38
| spl2_59
| spl2_168
| spl2_194 ),
inference(rat,[],[s613,s2020]) ).
cnf(s2275,plain,
( ~ spl2_38
| spl2_59
| spl2_163
| spl2_168 ),
inference(rat,[],[s612,s2020]) ).
cnf(s2279,plain,
( ~ spl2_4
| ~ spl2_12
| ~ spl2_33
| ~ spl2_36
| ~ spl2_47
| ~ spl2_60
| spl2_194 ),
inference(rat,[],[s606,s2020]) ).
cnf(s2318,plain,
( ~ spl2_15
| ~ spl2_27
| ~ spl2_60 ),
inference(rat,[],[s279,s2020]) ).
cnf(s2319,plain,
( ~ spl2_15
| spl2_32 ),
inference(rat,[],[s278,s2020]) ).
cnf(s2325,plain,
( spl2_32
| spl2_59
| ~ spl2_113 ),
inference(rat,[],[s255,s2020]) ).
cnf(s2336,plain,
( ~ spl2_15
| ~ spl2_25
| ~ spl2_56 ),
inference(rat,[],[s50,s2020]) ).
cnf(s2344,plain,
( ~ spl2_50
| ~ spl2_21
| spl2_23 ),
inference(rat,[],[s30,s71,s72]) ).
cnf(s2346,plain,
( ~ spl2_303
| spl2_68
| spl2_309 ),
inference(rat,[],[s2165,s1272]) ).
cnf(s2347,plain,
( ~ spl2_275
| spl2_95
| ~ spl2_231
| spl2_33
| ~ spl2_13
| ~ spl2_6 ),
inference(rat,[],[s2024,s723,s1486,s1534,s2020]) ).
cnf(s2348,plain,
( ~ spl2_184
| spl2_68
| spl2_198 ),
inference(rat,[],[s768,s1580]) ).
cnf(s2349,plain,
( spl2_33
| ~ spl2_217
| ~ spl2_275
| spl2_184
| spl2_302
| spl2_303
| spl2_355
| ~ spl2_13
| spl2_7
| ~ spl2_6 ),
inference(rat,[],[s2347,s1451,s1443,s2073,s2156,s2130,s1226,s2127,s1534,s1590,s1964,s33,s1515,s1205]) ).
cnf(s2350,plain,
( ~ spl2_32
| spl2_309
| spl2_198
| ~ spl2_25
| ~ spl2_13
| spl2_11
| ~ spl2_63
| spl2_8
| spl2_7
| spl2_5 ),
inference(rat,[],[s1739,s975,s1707,s2349,s2053,s1166,s2348,s1831,s1955,s2346,s1314,s406,s1757,s1694,s3]) ).
cnf(s2351,plain,
( ~ spl2_275
| spl2_33
| spl2_193
| ~ spl2_13
| spl2_7
| spl2_5 ),
inference(rat,[],[s2156,s1226,s2127,s1534,s2053,s33]) ).
cnf(s2352,plain,
( spl2_33
| spl2_193
| spl2_198
| ~ spl2_20
| ~ spl2_13
| ~ spl2_61
| spl2_7
| spl2_5 ),
inference(rat,[],[s463,s2022,s2023,s950,s2136,s1667,s895,s1220,s2156,s2158,s1226,s1893,s1678,s1684,s210,s2348,s1692,s1163,s2351,s2131,s33,s3,s2020]) ).
cnf(s2353,plain,
( ~ spl2_180
| spl2_115
| spl2_193 ),
inference(rat,[],[s1220,s2158]) ).
cnf(s2354,plain,
( ~ spl2_20
| spl2_17
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2348,s1163,s1678,s1535,s1893,s2353,s27,s888,s669,s694,s2352,s1035,s1564,s2261,s2350,s1508,s1002,s1690,s2132,s57,s78,s2129,s2063,s2344,s758,s2273,s1077,s3]) ).
cnf(s2355,plain,
( spl2_303
| spl2_355
| ~ spl2_217
| spl2_184
| spl2_33
| ~ spl2_13
| ~ spl2_63
| spl2_7
| ~ spl2_6 ),
inference(rat,[],[s1831,s2349,s1955,s1163]) ).
cnf(s2356,plain,
( spl2_95
| spl2_115
| spl2_183
| ~ spl2_275
| ~ spl2_76
| spl2_33
| ~ spl2_13
| spl2_60
| ~ spl2_6 ),
inference(rat,[],[s2056,s691,s2347,s1092,s1903,s31,s108]) ).
cnf(s2357,plain,
( ~ spl2_119
| spl2_122
| spl2_250 ),
inference(rat,[],[s488,s871]) ).
cnf(s2359,plain,
( ~ spl2_294
| spl2_291
| spl2_350
| spl2_293
| ~ spl2_162
| spl2_274
| spl2_287
| ~ spl2_176
| ~ spl2_193
| ~ spl2_180
| spl2_175
| spl2_118
| spl2_250 ),
inference(rat,[],[s540,s2085,s2144,s1657,s609,s1191,s960,s1146,s2070,s2073,s1285,s2130,s2074,s2058,s1512,s1643,s696]) ).
cnf(s2360,plain,
( ~ spl2_243
| spl2_189
| ~ spl2_180 ),
inference(rat,[],[s1258,s1187,s1188]) ).
cnf(s2361,plain,
( ~ spl2_32
| ~ spl2_95
| ~ spl2_193
| ~ spl2_217
| spl2_184
| spl2_33
| spl2_118
| ~ spl2_25
| spl2_24
| ~ spl2_21
| ~ spl2_13
| spl2_11
| ~ spl2_63
| spl2_7
| ~ spl2_6 ),
inference(rat,[],[s2089,s1083,s2224,s2071,s2153,s812,s2074,s960,s1210,s2022,s1251,s1484,s912,s1479,s2360,s540,s2059,s1462,s2359,s1158,s1907,s1327,s2357,s2266,s1706,s954,s1286,s2155,s1508,s720,s2346,s1521,s2355,s1314,s1757,s1694,s2141,s1544,s108,s431,s1534,s1163,s2127,s33,s1144,s568,s1549,s1711,s1451,s2023,s670,s2020]) ).
cnf(s2362,plain,
( spl2_184
| ~ spl2_76
| spl2_33
| spl2_20
| ~ spl2_25
| spl2_24
| ~ spl2_21
| ~ spl2_13
| spl2_11
| ~ spl2_63
| spl2_60
| spl2_7
| spl2_5 ),
inference(rat,[],[s2085,s1657,s476,s867,s2357,s540,s482,s1109,s1563,s22,s2261,s2361,s2356,s696,s2127,s568,s2351,s2053,s1549,s1163,s3,s57,s1544,s791,s33]) ).
cnf(s2363,plain,
( ~ spl2_198
| ~ spl2_162
| spl2_175
| ~ spl2_95
| ~ spl2_21 ),
inference(rat,[],[s2022,s912,s942,s932,s2020]) ).
cnf(s2366,plain,
( ~ spl2_294
| ~ spl2_179
| ~ spl2_193
| ~ spl2_231
| spl2_274
| spl2_287 ),
inference(rat,[],[s1285,s2074,s1664,s1512]) ).
cnf(s2369,plain,
( spl2_95
| spl2_183
| ~ spl2_27
| ~ spl2_31
| ~ spl2_76 ),
inference(rat,[],[s2023,s777,s1796,s505,s1092,s2020]) ).
cnf(s2370,plain,
( spl2_32
| ~ spl2_184
| ~ spl2_113
| ~ spl2_76
| spl2_20
| ~ spl2_25
| spl2_24
| ~ spl2_21
| ~ spl2_42
| spl2_7 ),
inference(rat,[],[s1684,s2348,s782,s2363,s2077,s2023,s670,s2369,s430,s1104,s572,s1555,s2357,s2150,s482,s1069,s1563,s2325,s22,s2261,s1544,s791,s1775,s2020]) ).
cnf(s2371,plain,
( ~ spl2_294
| spl2_402
| ~ spl2_59
| spl2_180
| ~ spl2_231
| spl2_274
| spl2_115
| spl2_175
| ~ spl2_341
| spl2_287
| spl2_355
| ~ spl2_198
| ~ spl2_292
| ~ spl2_38
| ~ spl2_25
| ~ spl2_6 ),
inference(rat,[],[s1818,s2095,s2115,s2116,s2072,s1773,s1924,s2074,s2102,s1210,s2073,s1251,s1146,s1669,s1158,s2058,s1863,s1910,s1643]) ).
cnf(s2372,plain,
( spl2_180
| ~ spl2_231
| spl2_274
| spl2_214
| ~ spl2_168
| spl2_115
| spl2_175
| spl2_287
| spl2_243
| spl2_355
| spl2_183
| ~ spl2_198
| ~ spl2_74
| ~ spl2_184
| ~ spl2_38
| ~ spl2_25
| ~ spl2_6 ),
inference(rat,[],[s2073,s1152,s1760,s2371,s1864,s2071,s1484,s2266,s1668,s477,s1191,s1775,s1479]) ).
cnf(s2373,plain,
( spl2_95
| spl2_115
| spl2_175
| spl2_287
| spl2_243
| spl2_312
| spl2_355
| spl2_183
| ~ spl2_198
| ~ spl2_74
| ~ spl2_184
| ~ spl2_46
| ~ spl2_38
| ~ spl2_76
| ~ spl2_25
| spl2_60
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s1462,s170,s1521,s1668,s1963,s2266,s2366,s1484,s2071,s723,s2353,s2372,s2056,s691,s1788,s811,s1092,s1903]) ).
cnf(s2374,plain,
( ~ spl2_95
| spl2_175
| ~ spl2_198
| ~ spl2_25
| ~ spl2_21 ),
inference(rat,[],[s2023,s2363,s670,s2020]) ).
cnf(s2375,plain,
( spl2_33
| spl2_20
| ~ spl2_25
| spl2_24
| ~ spl2_21
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2071,s972,s470,s988,s696,s895,s2373,s1788,s811,s2374,s430,s1104,s1144,s932,s572,s1327,s1314,s375,s111,s2348,s98,s2357,s1757,s1694,s2141,s2370,s1775,s2362,s1915,s2131,s31,s27,s33,s108,s1950,s2137,s3,s57,s78,s2129,s1544]) ).
cnf(s2376,plain,
( spl2_17
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s1739,s975,s2261,s1563,s1707,s669,s2375,s791,s2354,s2063,s2344,s15,s2273,s758,s1077,s3,s57]) ).
cnf(s2377,plain,
( ~ spl2_20
| spl2_198
| ~ spl2_25
| ~ spl2_193
| ~ spl2_21
| ~ spl2_113
| ~ spl2_13
| spl2_11
| ~ spl2_63
| spl2_8
| spl2_7
| spl2_5 ),
inference(rat,[],[s2350,s2325,s1508,s1035,s1690]) ).
cnf(s2378,plain,
( ~ spl2_25
| spl2_184
| ~ spl2_21
| spl2_33
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s1706,s637,s954,s2219,s2155,s720,s1694,s600,s639,s2375,s791,s2377,s2374,s670,s78,s2129,s1915,s31,s108,s431,s2351,s1711,s1451,s2356,s696,s2127,s2053,s33,s1549,s1163,s2137,s3]) ).
cnf(s2379,plain,
( spl2_184
| ~ spl2_21
| spl2_33
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2070,s960,s704,s1957,s1678,s1684,s734,s2063,s2378,s1451,s2356,s696,s2127,s2351,s2053,s1549,s431,s1163,s3,s2132,s57,s2137,s33]) ).
cnf(s2380,plain,
( ~ spl2_20
| ~ spl2_25
| ~ spl2_21
| ~ spl2_113
| spl2_33
| ~ spl2_13
| spl2_11
| ~ spl2_63
| ~ spl2_61
| spl2_8
| spl2_7
| spl2_5 ),
inference(rat,[],[s2377,s2352,s1002]) ).
cnf(s2382,plain,
( ~ spl2_25
| ~ spl2_21
| spl2_33
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s691,s2056,s1092,s1903,s2374,s895,s470,s723,s430,s2024,s1104,s1637,s568,s1923,s932,s375,s111,s2348,s1757,s1694,s759,s600,s15,s639,s2375,s791,s2380,s1775,s2132,s57,s78,s2129,s2137,s2131,s33,s3,s1915,s31,s108,s2379,s2020]) ).
cnf(s2383,plain,
( ~ spl2_20
| ~ spl2_59
| ~ spl2_21
| spl2_33
| ~ spl2_13
| ~ spl2_61
| spl2_7
| spl2_5 ),
inference(rat,[],[s2352,s1035,s1002]) ).
cnf(s2384,plain,
( ~ spl2_21
| spl2_33
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s1796,s2023,s2150,s2077,s1563,s791,s2383,s1069,s782,s1957,s1564,s1684,s71,s734,s2063,s2382,s2132,s57,s2020]) ).
cnf(s2385,plain,
( spl2_184
| spl2_191
| spl2_182
| ~ spl2_54
| ~ spl2_18
| ~ spl2_91
| ~ spl2_40
| spl2_5 ),
inference(rat,[],[s540,s2085,s2127,s1657,s772,s2053,s476,s781,s1163,s3]) ).
cnf(s2386,plain,
( spl2_95
| spl2_204
| ~ spl2_184
| spl2_183
| ~ spl2_54
| ~ spl2_31
| ~ spl2_46
| ~ spl2_38
| ~ spl2_76
| spl2_60
| spl2_7 ),
inference(rat,[],[s2071,s1484,s723,s2266,s477,s2056,s676,s886,s1069,s691,s2150,s1092,s1903,s2369,s1788,s811,s695]) ).
cnf(s2388,plain,
( ~ spl2_275
| ~ spl2_54
| ~ spl2_18
| spl2_33
| ~ spl2_13
| spl2_5 ),
inference(rat,[],[s2360,s540,s1482,s2127,s1534,s2053,s33]) ).
cnf(s2389,plain,
( ~ spl2_183
| spl2_204
| spl2_24 ),
inference(rat,[],[s1548,s1555]) ).
cnf(s2390,plain,
( ~ spl2_68
| ~ spl2_235 ),
inference(rat,[],[s782,s2261,s1684,s1694]) ).
cnf(s2396,plain,
( spl2_95
| spl2_183
| ~ spl2_184
| ~ spl2_54
| ~ spl2_31
| ~ spl2_46
| ~ spl2_38
| ~ spl2_76
| ~ spl2_63
| spl2_60
| spl2_7 ),
inference(rat,[],[s98,s1694,s1641,s2325,s1069,s2150,s2369,s2386,s1915]) ).
cnf(s2398,plain,
( ~ spl2_303
| spl2_274
| ~ spl2_179
| ~ spl2_97
| ~ spl2_198
| spl2_287 ),
inference(rat,[],[s1285,s2074,s1286,s1773]) ).
cnf(s2399,plain,
( spl2_243
| spl2_303
| spl2_175
| ~ spl2_165
| ~ spl2_54
| ~ spl2_31
| spl2_24
| ~ spl2_384
| ~ spl2_17 ),
inference(rat,[],[s1860,s1964,s1315,s122,s2357,s509,s908,s2266,s2023,s1484,s912,s482,s1730,s2020]) ).
cnf(s2400,plain,
( spl2_68
| ~ spl2_95
| spl2_287
| ~ spl2_184
| ~ spl2_54
| ~ spl2_31
| spl2_24
| spl2_21
| ~ spl2_384
| ~ spl2_17
| ~ spl2_63 ),
inference(rat,[],[s1806,s2150,s1461,s886,s865,s2399,s1955,s2398,s1441,s1730,s906,s2024,s499,s2022,s2155,s942,s720,s2348,s2020]) ).
cnf(s2401,plain,
( ~ spl2_68
| ~ spl2_54
| spl2_118
| ~ spl2_113
| ~ spl2_61
| spl2_7 ),
inference(rat,[],[s1796,s2150,s2023,s1069,s2077,s1957,s2325,s2390,s1684,s1694,s2020]) ).
cnf(s2402,plain,
( spl2_95
| ~ spl2_184
| ~ spl2_54
| ~ spl2_31
| ~ spl2_46
| ~ spl2_38
| ~ spl2_76
| spl2_11
| ~ spl2_63
| spl2_60
| spl2_7 ),
inference(rat,[],[s1546,s375,s2396]) ).
cnf(s2403,plain,
( spl2_33
| spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s772,s2357,s554,s572,s1144,s2400,s2402,s2401,s1163,s2388,s482,s218,s2025,s2270,s2273,s1682,s2384,s1915,s2131,s31,s27,s33,s108,s1515,s1950,s2137,s3,s2132,s57,s78,s2129,s2376,s2020]) ).
cnf(s2404,plain,
( spl2_95
| ~ spl2_193
| spl2_183
| spl2_184
| spl2_60
| ~ spl2_6 ),
inference(rat,[],[s552,s2139,s2089,s1092,s1083,s960,s2022,s2024,s407,s1486,s505,s1163,s2020]) ).
cnf(s2405,plain,
( spl2_68
| spl2_206
| ~ spl2_95
| ~ spl2_21
| ~ spl2_33 ),
inference(rat,[],[s2077,s790,s2143,s1706,s2023,s1040,s954,s1034,s670,s669,s2155,s2063,s720,s734,s2020]) ).
cnf(s2406,plain,
( spl2_184
| ~ spl2_21
| ~ spl2_33
| spl2_60
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s1792,s960,s704,s1957,s1678,s1684,s2405,s1711,s1451,s2404,s2353,s817,s2134,s1549,s431,s1163,s2132,s57,s694]) ).
cnf(s2407,plain,
( ~ spl2_32
| ~ spl2_92
| ~ spl2_33 ),
inference(rat,[],[s1739,s975]) ).
cnf(s2408,plain,
( spl2_68
| ~ spl2_184
| ~ spl2_21
| ~ spl2_45
| ~ spl2_33
| ~ spl2_42 ),
inference(rat,[],[s1563,s791,s669,s1002,s2063,s2348,s734]) ).
cnf(s2409,plain,
( spl2_95
| spl2_166
| spl2_179
| ~ spl2_184 ),
inference(rat,[],[s2071,s1788,s811]) ).
cnf(s2410,plain,
( ~ spl2_68
| ~ spl2_59
| spl2_115
| ~ spl2_61 ),
inference(rat,[],[s791,s2077,s1035,s2023,s2353,s1796,s1893,s1957,s2390,s1678,s1684,s2151,s1067,s2020]) ).
cnf(s2411,plain,
( ~ spl2_21
| ~ spl2_45
| ~ spl2_33
| spl2_60
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2408,s2406,s2410,s1564,s694,s2132,s57]) ).
cnf(s2412,plain,
( spl2_184
| spl2_191
| spl2_182
| spl2_355
| spl2_183
| ~ spl2_88
| ~ spl2_54
| ~ spl2_31
| ~ spl2_91
| spl2_250
| spl2_68
| ~ spl2_27
| ~ spl2_33
| spl2_60
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s1622,s2346,s1252,s1431,s1210,s1281,s2074,s2224,s2089,s1083,s2071,s2153,s812,s960,s2070,s972,s988,s1034,s2155,s1517,s720,s1451,s540,s2369,s2353,s2085,s2139,s817,s1657,s227,s2134,s2053,s476,s431,s781,s1163,s694,s1144]) ).
cnf(s2413,plain,
( spl2_191
| spl2_182
| ~ spl2_4
| spl2_355
| spl2_183
| ~ spl2_88
| ~ spl2_54
| ~ spl2_31
| ~ spl2_91
| spl2_250
| spl2_68
| ~ spl2_27
| ~ spl2_33
| spl2_60
| spl2_5 ),
inference(rat,[],[s1730,s906,s972,s2024,s988,s499,s1034,s2022,s2155,s942,s720,s2369,s2139,s785,s787,s2348,s2412,s2020]) ).
cnf(s2414,plain,
( spl2_15
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2413,s572,s867,s1315,s1555,s122,s2357,s126,s482,s1563,s2025,s2270,s2227,s1682,s2411,s1543,s2410,s2151,s1067,s1564,s2261,s2407,s1707,s694,s2403,s2376,s3,s2132,s57,s2020]) ).
cnf(s2415,plain,
( spl2_184
| spl2_183
| spl2_20
| ~ spl2_21
| spl2_33
| spl2_68
| ~ spl2_13
| spl2_11
| ~ spl2_63
| spl2_60
| spl2_7
| spl2_5 ),
inference(rat,[],[s1706,s637,s954,s2219,s2155,s1711,s670,s720,s1451,s2404,s2351,s2362,s1163,s3,s2139,s108,s2063,s734]) ).
cnf(s2417,plain,
( spl2_115
| spl2_95
| spl2_243
| ~ spl2_198
| ~ spl2_184
| spl2_355
| spl2_183
| ~ spl2_25
| spl2_119
| spl2_33
| ~ spl2_74
| spl2_60
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2024,s723,s1637,s2372,s15,s2056,s1327,s691,s2373,s27,s1950,s31,s1144,s430,s1104,s1775,s568,s811,s1788,s1903,s1092,s2139,s108,s2020]) ).
cnf(s2418,plain,
( ~ spl2_21
| spl2_33
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2409,s972,s470,s988,s696,s895,s2417,s2374,s430,s1104,s932,s1775,s2348,s2415,s568,s1314,s375,s2380,s2336,s2063,s2357,s734,s1544,s2132,s57,s2141,s98,s78,s2129,s1915,s31,s108,s111,s2131,s33,s3,s1694,s2319,s2414]) ).
cnf(s2419,plain,
( spl2_33
| ~ spl2_13
| spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s772,s2357,s554,s572,s1144,s2400,s2402,s1163,s2388,s1077,s218,s2025,s2270,s2273,s2418,s2131,s31,s2139,s27,s33,s108,s1515,s1950,s3,s78,s2129,s2141,s1694,s2319,s2414,s2020]) ).
cnf(s2420,plain,
( ~ spl2_13
| spl2_11
| ~ spl2_4
| spl2_60
| spl2_8
| spl2_7
| spl2_5 ),
inference(rat,[],[s2407,s1707,s2419,s2319,s2414]) ).
cnf(s2421,plain,
( spl2_54
| spl2_118
| ~ spl2_162
| ~ spl2_193
| ~ spl2_180
| spl2_175
| ~ spl2_218
| ~ spl2_42 ),
inference(rat,[],[s912,s2022,s2360,s960,s1666,s609,s2261,s2144,s1563,s2020]) ).
cnf(s2422,plain,
( spl2_184
| spl2_355
| spl2_183
| ~ spl2_21
| spl2_33
| ~ spl2_12
| spl2_60
| spl2_7
| spl2_5 ),
inference(rat,[],[s1508,s2346,s1251,s1431,s1210,s1281,s2074,s2224,s2089,s1083,s2071,s2153,s812,s960,s2022,s1484,s912,s1479,s2360,s540,s2421,s790,s1706,s2266,s954,s2023,s2155,s1711,s670,s720,s1451,s2404,s2156,s1226,s2127,s1535,s2053,s431,s1163,s3,s57,s794,s1684,s795,s108,s33,s27,s1950,s2063,s69,s1144,s568,s2020]) ).
cnf(s2423,plain,
( ~ spl2_21
| spl2_33
| ~ spl2_12
| spl2_11
| spl2_60
| spl2_7
| spl2_5 ),
inference(rat,[],[s1484,s2409,s2266,s499,s954,s2154,s905,s854,s1092,s2374,s430,s1104,s932,s1775,s2348,s2422,s568,s1314,s375,s51,s2063,s69,s1684,s795,s2139,s108]) ).
cnf(s2424,plain,
( ~ spl2_275
| ~ spl2_54
| ~ spl2_18
| ~ spl2_38
| ~ spl2_40
| spl2_60
| spl2_5 ),
inference(rat,[],[s2360,s540,s1482,s2127,s1535,s2053]) ).
cnf(s2425,plain,
( spl2_191
| ~ spl2_97
| ~ spl2_95
| ~ spl2_198
| ~ spl2_184
| ~ spl2_17
| ~ spl2_54
| ~ spl2_31
| ~ spl2_113
| ~ spl2_41
| ~ spl2_38
| ~ spl2_74
| ~ spl2_63
| ~ spl2_4 ),
inference(rat,[],[s2056,s2366,s690,s2353,s2269,s1797,s478,s512,s1641,s2325,s127,s126,s122,s1860,s1956,s1955,s2398,s1144,s695,s1441,s1730,s906,s2024,s499,s2022,s942,s2020]) ).
cnf(s2426,plain,
( spl2_33
| ~ spl2_12
| spl2_11
| spl2_60
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2357,s772,s453,s554,s2425,s2155,s720,s2402,s2348,s1163,s2424,s482,s1077,s218,s2025,s2273,s2423,s1915,s2131,s31,s2139,s27,s33,s108,s1950,s3,s98,s1684,s795,s78,s2129,s2020]) ).
cnf(s2427,plain,
( spl2_11
| spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2413,s1312,s383,s397,s453,s122,s2357,s126,s482,s1077,s1563,s2151,s2025,s2273,s1682,s1067,s1543,s2227,s2411,s1564,s2319,s600,s2261,s2407,s1707,s694,s2426,s1684,s795,s7,s2420,s3,s57,s2020]) ).
cnf(s2428,plain,
( spl2_68
| ~ spl2_13
| ~ spl2_95
| ~ spl2_180
| ~ spl2_217
| spl2_184
| ~ spl2_21
| spl2_33
| ~ spl2_63
| spl2_213
| spl2_7
| ~ spl2_6 ),
inference(rat,[],[s1083,s2089,s2033,s2224,s2153,s812,s2074,s960,s1210,s2022,s1251,s1484,s912,s1479,s2360,s540,s2059,s1462,s2359,s1158,s1508,s1907,s1286,s2346,s1521,s2355,s1315,s1327,s2357,s637,s790,s2142,s1706,s2266,s2219,s2023,s954,s670,s2155,s2063,s720,s734,s108,s1544,s431,s1144,s568,s1549,s2156,s1226,s2127,s33,s1711,s1451,s2020]) ).
cnf(s2429,plain,
( ~ spl2_68
| spl2_115
| ~ spl2_113
| ~ spl2_61 ),
inference(rat,[],[s2325,s2410,s1694]) ).
cnf(s2430,plain,
( spl2_184
| ~ spl2_21
| spl2_33
| ~ spl2_63
| ~ spl2_61
| spl2_60
| spl2_7
| spl2_5 ),
inference(rat,[],[s1317,s51,s2422,s7,s2063,s2428,s734,s2429,s2404,s2156,s696,s1226,s2127,s1535,s2053,s1549,s1163,s3,s2209,s2021,s33,s27,s1950,s1915,s31,s108]) ).
cnf(s2431,plain,
( ~ spl2_115
| spl2_95
| ~ spl2_77
| ~ spl2_184 ),
inference(rat,[],[s2409,s972,s470,s988,s696,s895]) ).
cnf(s2432,plain,
( ~ spl2_32
| spl2_183
| spl2_115
| spl2_95
| spl2_243
| ~ spl2_25
| ~ spl2_198
| ~ spl2_74
| ~ spl2_184
| spl2_250
| spl2_33
| spl2_60
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2417,s1313,s2357,s1757,s2141,s2021]) ).
cnf(s2433,plain,
( spl2_32
| spl2_20
| ~ spl2_11 ),
inference(rat,[],[s22,s658]) ).
cnf(s2434,plain,
( spl2_68
| ~ spl2_184
| ~ spl2_21
| spl2_33
| ~ spl2_11
| spl2_60
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2432,s2431,s2374,s430,s1104,s568,s379,s1757,s2433,s1775,s1002,s932,s2063,s2348,s734,s111,s98,s78,s2129,s2021,s2131,s33,s1544]) ).
cnf(s2435,plain,
( ~ spl2_21
| spl2_33
| ~ spl2_11
| spl2_60
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s7,s2383,s795,s2433,s2325,s1684,s1694,s2434,s2430,s3,s2132,s57,s78,s2129,s1915,s31,s108]) ).
cnf(s2436,plain,
( spl2_95
| ~ spl2_184
| ~ spl2_54
| ~ spl2_31
| ~ spl2_46
| ~ spl2_76
| ~ spl2_38
| spl2_71
| ~ spl2_63
| spl2_60
| spl2_7
| spl2_5 ),
inference(rat,[],[s1546,s585,s2396]) ).
cnf(s2437,plain,
( spl2_33
| ~ spl2_11
| spl2_60
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2357,s772,s453,s554,s2425,s2155,s720,s2436,s2348,s1163,s98,s2424,s1077,s1694,s2141,s218,s2025,s2273,s1112,s2435,s1915,s2131,s31,s2139,s27,s33,s108,s1950,s2021,s78,s2129,s1961,s3,s2020]) ).
cnf(s2438,plain,
( spl2_60
| spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2411,s1112,s2261,s2407,s1707,s2437,s1961,s2427,s3]) ).
cnf(s2439,plain,
( spl2_8
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s906,s2024,s2374,s2431,s470,s2348,s1163,s2063,s2053,s111,s218,s219,s2127,s2131,s695,s696,s895,s33,s964,s1707,s1569,s176,s99,s2438,s3,s2020]) ).
cnf(s2440,plain,
( ~ spl2_21
| spl2_33
| ~ spl2_63
| ~ spl2_61
| spl2_60
| ~ spl2_8
| spl2_7
| spl2_5 ),
inference(rat,[],[s2348,s1923,s1694,s1055,s2325,s443,s2430,s985,s27,s1950,s1915,s31,s108]) ).
cnf(s2441,plain,
( spl2_33
| spl2_60
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s356,s2022,s609,s942,s919,s2348,s2402,s1055,s1163,s2424,s2401,s218,s2025,s2273,s1682,s2440,s1915,s2131,s31,s2139,s27,s2437,s33,s108,s1950,s3,s2439,s2132,s57,s78,s2129,s2020]) ).
cnf(s2442,plain,
( ~ spl2_21
| ~ spl2_33
| spl2_60
| ~ spl2_8
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2000,s1830,s1923,s1893,s2261,s1055,s2064,s2411,s2406,s40,s2132,s57]) ).
cnf(s2443,plain,
( spl2_95
| ~ spl2_193
| spl2_184
| spl2_21
| spl2_60
| ~ spl2_6 ),
inference(rat,[],[s1546,s378,s2404,s1077,s2273]) ).
cnf(s2444,plain,
( spl2_303
| spl2_274
| ~ spl2_193
| spl2_184
| ~ spl2_63
| ~ spl2_6 ),
inference(rat,[],[s2074,s1512,s1282,s1955,s1430]) ).
cnf(s2445,plain,
( ~ spl2_191
| spl2_250
| ~ spl2_17
| spl2_21 ),
inference(rat,[],[s2140,s2357,s1548,s453,s568]) ).
cnf(s2446,plain,
( spl2_184
| ~ spl2_33
| spl2_60
| ~ spl2_8
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2153,s1429,s501,s2155,s720,s1144,s1684,s2445,s2444,s1957,s919,s1451,s2443,s2353,s817,s772,s2134,s781,s1163,s2132,s57,s78,s2129,s694,s1077,s2273,s2442]) ).
cnf(s2447,plain,
( ~ spl2_59
| spl2_27
| spl2_115 ),
inference(rat,[],[s2151,s1067]) ).
cnf(s2448,plain,
( spl2_183
| spl2_95
| ~ spl2_38
| ~ spl2_76
| ~ spl2_74
| spl2_180
| ~ spl2_184
| ~ spl2_31
| spl2_115 ),
inference(rat,[],[s477,s1641,s2447,s2369]) ).
cnf(s2449,plain,
( spl2_95
| ~ spl2_38
| ~ spl2_76
| ~ spl2_74
| spl2_180
| ~ spl2_184
| ~ spl2_17
| ~ spl2_31
| spl2_21
| spl2_115 ),
inference(rat,[],[s1546,s378,s2448]) ).
cnf(s2450,plain,
( spl2_60
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s356,s2022,s609,s942,s919,s2449,s27,s2139,s786,s787,s2348,s98,s1678,s1893,s1055,s2446,s1077,s2025,s2273,s2442,s694,s2441,s78,s2132,s2129,s57,s3,s2439,s2020]) ).
cnf(s2451,plain,
( ~ spl2_21
| ~ spl2_309
| ~ spl2_303
| spl2_33
| ~ spl2_8
| ~ spl2_4 ),
inference(rat,[],[s1327,s2357,s1331,s2142,s169,s643,s58,s1508,s985,s1544,s2210,s31,s108]) ).
cnf(s2452,plain,
( spl2_184
| spl2_33
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2388,s218,s2273,s2451,s2346,s2355,s7,s798,s2353,s696,s817,s2127,s2049,s2053,s1163,s99,s1313,s2021,s862,s2450,s2439,s2131,s33,s3,s78,s23]) ).
cnf(s2453,plain,
( ~ spl2_21
| ~ spl2_198
| spl2_180
| spl2_191
| ~ spl2_46
| ~ spl2_8 ),
inference(rat,[],[s169,s1898,s985]) ).
cnf(s2454,plain,
( spl2_59
| spl2_180
| ~ spl2_184
| ~ spl2_74
| ~ spl2_38
| spl2_183 ),
inference(rat,[],[s477,s1641]) ).
cnf(s2455,plain,
( spl2_33
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s356,s2022,s609,s942,s919,s2448,s2137,s2318,s2447,s2454,s695,s218,s2025,s2453,s2348,s1055,s2452,s98,s568,s78,s2131,s31,s27,s585,s23,s33,s108,s1950,s2021,s3,s99,s862,s2450,s2439,s2020]) ).
cnf(s2456,plain,
( spl2_95
| ~ spl2_193
| ~ spl2_180
| ~ spl2_63
| ~ spl2_38
| ~ spl2_25
| ~ spl2_55
| spl2_24
| spl2_59
| spl2_250
| spl2_184
| ~ spl2_8
| ~ spl2_6 ),
inference(rat,[],[s1327,s1462,s2357,s1521,s1587,s486,s2444,s2269,s1443,s960,s723,s2022,s2024,s407,s1486,s505,s1163,s2020]) ).
cnf(s2457,plain,
( ~ spl2_95
| ~ spl2_21
| spl2_184
| ~ spl2_33
| spl2_68 ),
inference(rat,[],[s1711,s2405,s1451]) ).
cnf(s2458,plain,
( ~ spl2_180
| ~ spl2_63
| spl2_95
| ~ spl2_38
| ~ spl2_25
| ~ spl2_55
| spl2_24
| spl2_59
| spl2_250
| spl2_184
| spl2_115
| ~ spl2_8
| ~ spl2_6 ),
inference(rat,[],[s2456,s2353]) ).
cnf(s2459,plain,
( ~ spl2_329
| spl2_407
| ~ spl2_38
| spl2_68
| ~ spl2_8 ),
inference(rat,[],[s1925,s2123,s1344,s1838]) ).
cnf(s2460,plain,
( spl2_303
| spl2_329
| spl2_402
| spl2_274
| spl2_180
| ~ spl2_63
| ~ spl2_38
| spl2_287
| ~ spl2_275
| spl2_115
| ~ spl2_6 ),
inference(rat,[],[s1924,s2102,s2058,s2072,s2073,s1863,s1643,s2115,s1205,s1955]) ).
cnf(s2461,plain,
( ~ spl2_63
| spl2_95
| ~ spl2_38
| ~ spl2_110
| ~ spl2_55
| spl2_24
| ~ spl2_21
| spl2_184
| spl2_115
| spl2_68
| ~ spl2_8
| ~ spl2_6 ),
inference(rat,[],[s1343,s1521,s2460,s2459,s2125,s1315,s1327,s1864,s1789,s2357,s2274,s484,s1101,s765,s2458,s1544,s985,s2063,s734,s1144,s568,s1549,s2089,s1083,s2022,s407,s505,s2024,s1486,s1163,s2020]) ).
cnf(s2462,plain,
( ~ spl2_180
| ~ spl2_164
| ~ spl2_166
| ~ spl2_38
| spl2_287
| spl2_47
| ~ spl2_25
| ~ spl2_55
| spl2_24
| spl2_59
| spl2_250
| ~ spl2_217
| spl2_115
| ~ spl2_8 ),
inference(rat,[],[s1343,s1521,s1431,s1281,s1315,s1327,s2074,s2357,s2224,s486,s2153,s2269,s1443,s960,s723,s2353,s2089,s1083]) ).
cnf(s2463,plain,
( spl2_303
| spl2_349
| spl2_329
| spl2_312
| spl2_274
| ~ spl2_189
| ~ spl2_204
| spl2_180
| ~ spl2_38
| spl2_287
| ~ spl2_55
| spl2_184
| ~ spl2_6 ),
inference(rat,[],[s1924,s2058,s2103,s1462,s1642,s1276,s1660,s2074,s2072,s1282,s2115,s1430]) ).
cnf(s2464,plain,
( ~ spl2_21
| ~ spl2_217
| spl2_184
| ~ spl2_33
| spl2_68
| ~ spl2_8
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s1343,s1521,s2463,s1883,s2143,s2077,s2459,s2023,s2125,s542,s1315,s1327,s1789,s2085,s2357,s2274,s1657,s484,s1101,s477,s765,s2462,s2089,s1083,s2022,s2024,s407,s1486,s505,s2457,s27,s169,s888,s1040,s31,s1144,s669,s672,s568,s2063,s170,s643,s792,s1549,s734,s985,s1544,s694,s1163,s2020]) ).
cnf(s2466,plain,
( ~ spl2_95
| ~ spl2_189
| spl2_287
| spl2_182
| ~ spl2_31
| spl2_184
| ~ spl2_33
| spl2_68
| ~ spl2_8
| ~ spl2_6 ),
inference(rat,[],[s2074,s1660,s1282,s1461,s1430,s1429,s2153,s501,s2155,s720,s919,s1451]) ).
cnf(s2467,plain,
( spl2_184
| spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s542,s2023,s2022,s779,s407,s505,s2466,s2085,s1657,s1144,s476,s398,s2445,s1109,s772,s1077,s2025,s2273,s2464,s2053,s781,s1163,s3,s99,s862,s2450,s2439,s2455,s2020]) ).
cnf(s2468,plain,
( ~ spl2_21
| ~ spl2_38
| ~ spl2_198
| spl2_180
| ~ spl2_8 ),
inference(rat,[],[s443,s1923,s985]) ).
cnf(s2469,plain,
( ~ spl2_368
| ~ spl2_179
| ~ spl2_189
| ~ spl2_173
| spl2_274
| spl2_287 ),
inference(rat,[],[s1285,s2074,s1663,s1660]) ).
cnf(s2470,plain,
( spl2_59
| spl2_312
| ~ spl2_173
| spl2_95
| spl2_250
| spl2_182
| spl2_183
| ~ spl2_31
| ~ spl2_38
| ~ spl2_184
| ~ spl2_8
| ~ spl2_4 ),
inference(rat,[],[s1343,s1461,s2469,s2409,s2085,s529,s1657,s477,s170,s1055,s1144,s568,s1788]) ).
cnf(s2471,plain,
( spl2_95
| spl2_182
| spl2_183
| ~ spl2_31
| ~ spl2_38
| spl2_176
| spl2_47
| ~ spl2_198
| ~ spl2_184
| spl2_115
| ~ spl2_8
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s1145,s2073,s2250,s2253,s2251,s1118,s1115,s2447,s2470,s1329,s2357,s1795,s481,s2023,s762,s779,s748,s1788,s505,s817,s432,s1156,s2468,s1109,s1144,s2031,s765,s568,s1055,s31,s2020]) ).
cnf(s2472,plain,
( spl2_7
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s356,s2022,s609,s942,s919,s2471,s398,s378,s1077,s2025,s2273,s2468,s27,s785,s786,s787,s2348,s1055,s2467,s694,s2455,s862,s99,s2450,s2439,s3,s2020]) ).
cnf(s2473,plain,
( spl2_60
| ~ spl2_180
| ~ spl2_63
| ~ spl2_176
| ~ spl2_38
| spl2_47
| spl2_213
| spl2_184
| ~ spl2_21
| ~ spl2_6 ),
inference(rat,[],[s1083,s2089,s2033,s2224,s2153,s812,s2074,s960,s1210,s2070,s1251,s1484,s1479,s2360,s540,s2059,s1462,s2359,s1158,s1907,s1327,s2357,s637,s2142,s790,s2215,s2023,s1706,s2266,s1508,s670,s954,s1286,s1521,s2346,s2063,s2155,s2444,s1711,s734,s720,s1451,s2429,s2404,s1915,s2212,s1544,s431,s1144,s568,s1549,s31,s2353,s696,s2020]) ).
cnf(s2474,plain,
( spl2_33
| spl2_8
| spl2_184
| ~ spl2_21
| spl2_5 ),
inference(rat,[],[s964,s1569,s2473,s696,s817,s78,s2127,s27,s2049,s23,s33,s108,s1950,s2210,s3,s2053,s1163]) ).
cnf(s2475,plain,
( ~ spl2_33
| spl2_184
| ~ spl2_21
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2406,s181,s3,s2472]) ).
cnf(s2476,plain,
( spl2_184
| ~ spl2_21
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2275,s919,s670,s2461,s2063,s99,s82,s169,s170,s643,s2473,s696,s985,s817,s78,s2127,s31,s27,s2474,s2049,s23,s33,s108,s1950,s2210,s2475,s2053,s1163,s3]) ).
cnf(s2477,plain,
( spl2_183
| spl2_115
| spl2_95
| spl2_20
| spl2_243
| ~ spl2_25
| ~ spl2_198
| ~ spl2_74
| spl2_60
| spl2_33
| ~ spl2_184
| spl2_250
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2447,s2369,s2325,s22,s2432,s2139,s1915,s31,s108]) ).
cnf(s2478,plain,
( spl2_95
| spl2_20
| spl2_243
| ~ spl2_25
| spl2_11
| ~ spl2_198
| ~ spl2_74
| ~ spl2_77
| spl2_60
| spl2_33
| ~ spl2_184
| spl2_250
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s375,s1546,s2477,s2431]) ).
cnf(s2479,plain,
( spl2_68
| spl2_60
| ~ spl2_63
| spl2_33
| ~ spl2_184
| ~ spl2_21
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s2024,s499,s906,s2155,s2374,s720,s2478,s1002,s932,s2063,s2434,s2348,s98,s111,s734,s1544,s2131,s33,s2020]) ).
cnf(s2480,plain,
( spl2_60
| ~ spl2_63
| spl2_33
| ~ spl2_184
| ~ spl2_21
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s463,s210,s1692,s2023,s2022,s22,s2136,s950,s1041,s1667,s695,s696,s895,s2429,s1684,s1694,s2479,s1915,s2212,s27,s1950,s31,s108,s2131,s33,s2020]) ).
cnf(s2481,plain,
( ~ spl2_115
| spl2_118
| ~ spl2_25
| ~ spl2_77
| ~ spl2_184 ),
inference(rat,[],[s2077,s2023,s2143,s670,s895,s897,s2431,s2020]) ).
cnf(s2482,plain,
( spl2_33
| ~ spl2_21
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2468,s1055,s1569,s964,s2481,s791,s1002,s2063,s2348,s111,s734,s99,s2480,s78,s2131,s27,s23,s33,s1950,s3,s2476]) ).
cnf(s2483,plain,
( spl2_60
| ~ spl2_33
| ~ spl2_4
| ~ spl2_21
| ~ spl2_6 ),
inference(rat,[],[s2407,s1707,s2261,s2442,s2411]) ).
cnf(s2484,plain,
( ~ spl2_21
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2483,s181,s2482,s3,s2472]) ).
cnf(s2485,plain,
( spl2_250
| ~ spl2_163
| ~ spl2_193
| spl2_95
| ~ spl2_113
| ~ spl2_76
| ~ spl2_40
| ~ spl2_17
| ~ spl2_31
| spl2_21 ),
inference(rat,[],[s1039,s950,s2325,s2022,s1667,s2447,s960,s1056,s2369,s1092,s1795,s383,s763,s2357,s695,s482,s1041,s2020]) ).
cnf(s2486,plain,
( spl2_95
| ~ spl2_198
| ~ spl2_74
| ~ spl2_184
| ~ spl2_113
| ~ spl2_76
| ~ spl2_38
| ~ spl2_40
| ~ spl2_31
| spl2_21
| ~ spl2_6 ),
inference(rat,[],[s2070,s430,s1484,s1104,s784,s2266,s448,s1641,s772,s907,s908,s1543,s2485,s2023,s2353,s779,s2449,s1788,s505,s1077,s2273,s695,s1041,s2020]) ).
cnf(s2487,plain,
( ~ spl2_191
| spl2_21
| ~ spl2_6 ),
inference(rat,[],[s772,s2445,s554,s1077,s2273]) ).
cnf(s2488,plain,
( ~ spl2_40
| spl2_182
| spl2_184
| spl2_191
| ~ spl2_31
| ~ spl2_18
| spl2_5 ),
inference(rat,[],[s2385,s1041,s1109]) ).
cnf(s2489,plain,
( spl2_184
| spl2_60
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2413,s2447,s2410,s1563,s1564,s2261,s2407,s1707,s2446,s694,s33,s2488,s1316,s383,s122,s2357,s847,s2140,s476,s865,s1482,s772,s2053,s781,s1163,s1682,s1077,s2273,s1109,s2025,s2487,s2484,s3,s2132,s57,s2020]) ).
cnf(s2490,plain,
( spl2_33
| spl2_60
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s2155,s720,s2425,s2486,s2348,s98,s2429,s695,s1915,s1041,s2131,s2139,s31,s27,s33,s108,s1950,s2025,s1077,s2273,s2487,s2484,s3,s2132,s57,s78,s2129,s2489,s2020]) ).
cnf(s2491,plain,
( spl2_95
| ~ spl2_113
| ~ spl2_38
| ~ spl2_76
| ~ spl2_74
| ~ spl2_33
| ~ spl2_184
| ~ spl2_31
| spl2_21
| ~ spl2_6 ),
inference(rat,[],[s2447,s2369,s2325,s1547,s2407,s1707,s2023,s1055,s779,s2449,s505,s1077,s2273,s694,s2020]) ).
cnf(s2492,plain,
( spl2_68
| ~ spl2_33
| ~ spl2_184
| ~ spl2_63
| spl2_60
| ~ spl2_31
| spl2_21
| ~ spl2_6 ),
inference(rat,[],[s1730,s906,s972,s2024,s988,s499,s1034,s2022,s2155,s942,s720,s2491,s1915,s27,s2139,s31,s785,s786,s787,s2348,s98,s2020]) ).
cnf(s2493,plain,
( spl2_60
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s1564,s2261,s2410,s1694,s2492,s694,s2490,s2489,s78,s2132,s2129,s57,s3,s2025,s2484,s2020]) ).
cnf(s2494,plain,
( spl2_5
| ~ spl2_4 ),
inference(rat,[],[s356,s609,s2022,s919,s942,s2369,s2137,s2318,s2447,s2454,s1055,s2348,s2488,s585,s399,s862,s1569,s964,s98,s695,s78,s1041,s27,s23,s33,s1950,s2021,s181,s99,s2493,s2487,s2025,s2273,s2484,s2472,s3,s2020]) ).
cnf(s2495,plain,
( ~ spl2_204
| spl2_250
| spl2_189 ),
inference(rat,[],[s2085,s1657]) ).
cnf(s2497,plain,
( ~ spl2_163
| spl2_250
| spl2_173 ),
inference(rat,[],[s1795,s763]) ).
cnf(s2499,plain,
( spl2_115
| ~ spl2_21
| ~ spl2_4 ),
inference(rat,[],[s478,s170,s2353,s2447,s45,s798,s63,s568,s601,s53,s2063,s69,s2495,s1544,s1666,s794,s32,s2319,s586,s2494]) ).
cnf(s2500,plain,
( ~ spl2_21
| ~ spl2_4 ),
inference(rat,[],[s982,s927,s687,s2022,s1706,s1730,s1721,s790,s972,s2077,s988,s2143,s696,s895,s897,s2499,s2023,s2497,s430,s1104,s2495,s568,s601,s53,s2063,s2357,s69,s1544,s1044,s2141,s1666,s794,s32,s2319,s586,s2494,s2020]) ).
cnf(s2501,plain,
( ~ spl2_54
| ~ spl2_38
| ~ spl2_5 ),
inference(rat,[],[s2056,s891,s2274,s676,s2447,s2150,s695,s45,s586,s796,s32,s63]) ).
cnf(s2502,plain,
( spl2_115
| spl2_33
| ~ spl2_5 ),
inference(rat,[],[s2031,s2495,s765,s477,s568,s601,s862,s1569,s2353,s2447,s964,s45,s798,s63,s1666,s794,s32,s2319,s586,s27,s1950,s31,s108]) ).
cnf(s2503,plain,
( ~ spl2_283
| ~ spl2_180
| spl2_286 ),
inference(rat,[],[s2103,s1275]) ).
cnf(s2504,plain,
( ~ spl2_274
| spl2_184
| spl2_179
| spl2_284 ),
inference(rat,[],[s2089,s1083,s2024,s1733,s811,s1782,s1451,s2022,s1730,s431,s2020]) ).
cnf(s2505,plain,
( ~ spl2_283
| spl2_24
| spl2_59
| ~ spl2_38
| spl2_286 ),
inference(rat,[],[s477,s2389,s1276,s2503,s2103]) ).
cnf(s2506,plain,
( spl2_184
| spl2_283
| spl2_295
| spl2_179
| spl2_284 ),
inference(rat,[],[s2074,s1210,s2504,s431]) ).
cnf(s2507,plain,
( spl2_33
| ~ spl2_4 ),
inference(rat,[],[s2022,s1730,s942,s906,s2409,s2024,s499,s2348,s2506,s2505,s2154,s905,s854,s2274,s643,s908,s1543,s2497,s2023,s1252,s2077,s972,s1517,s2143,s988,s696,s895,s1675,s2502,s1040,s2501,s27,s1950,s99,s63,s2044,s1044,s795,s1940,s794,s2043,s32,s2494,s1682,s2500,s2020]) ).
cnf(s2508,plain,
~ spl2_4,
inference(rat,[],[s31,s2279,s2031,s908,s2495,s478,s765,s568,s601,s862,s170,s163,s1707,s2353,s2447,s2407,s694,s2507,s1666,s794,s798,s2319,s45,s32,s63,s586,s2494]) ).
cnf(s2509,plain,
spl2_3,
inference(rat,[],[s24,s2508]) ).
cnf(s2510,plain,
spl2_47,
inference(rat,[],[s62,s2509]) ).
cnf(s2511,plain,
spl2_39,
inference(rat,[],[s61,s2509]) ).
cnf(s2512,plain,
~ spl2_201,
inference(rat,[],[s552,s2510]) ).
cnf(s2513,plain,
~ spl2_122,
inference(rat,[],[s483,s2510]) ).
cnf(s2514,plain,
spl2_54,
inference(rat,[],[s221,s2510]) ).
cnf(s2515,plain,
spl2_33,
inference(rat,[],[s108,s2510]) ).
cnf(s2516,plain,
~ spl2_173,
inference(rat,[],[s531,s2514,s2510]) ).
cnf(s2517,plain,
~ spl2_25,
inference(rat,[],[s672,s2515,s2510]) ).
cnf(s2518,plain,
~ spl2_198,
inference(rat,[],[s787,s2515,s2510]) ).
cnf(s2523,plain,
~ spl2_189,
inference(rat,[],[s543,s2510,s2514]) ).
cnf(s2524,plain,
~ spl2_21,
inference(rat,[],[s958,s2024,s901,s799,s386,s1035,s791,s792,s2077,s2136,s2390,s1684,s2023,s734,s2497,s2357,s2063,s622,s1544,s2020,s2510,s2511,s2516,s2513,s2517,s2514]) ).
cnf(s2525,plain,
~ spl2_118,
inference(rat,[],[s1682,s2524]) ).
cnf(s2526,plain,
spl2_18,
inference(rat,[],[s2273,s2524]) ).
cnf(s2527,plain,
( spl2_184
| spl2_5 ),
inference(rat,[],[s476,s865,s2495,s1482,s772,s2053,s781,s1163,s2487,s3,s1109,s2025,s2524,s2523,s2526,s2020]) ).
cnf(s2528,plain,
( ~ spl2_164
| ~ spl2_184 ),
inference(rat,[],[s2088,s1080,s2512]) ).
cnf(s2529,plain,
~ spl2_184,
inference(rat,[],[s2528,s2022,s950,s881,s908,s2497,s2023,s2077,s2390,s1684,s2348,s2020,s2526,s2516,s2525,s2518]) ).
cnf(s2532,plain,
~ spl2_175,
inference(rat,[],[s431,s2529]) ).
cnf(s2533,plain,
spl2_5,
inference(rat,[],[s2527,s2529]) ).
cnf(s2535,plain,
spl2_15,
inference(rat,[],[s586,s2533]) ).
cnf(s2536,plain,
spl2_60,
inference(rat,[],[s63,s2533]) ).
cnf(s2537,plain,
spl2_12,
inference(rat,[],[s32,s2533]) ).
cnf(s2540,plain,
spl2_32,
inference(rat,[],[s2319,s2535]) ).
cnf(s2553,plain,
~ spl2_231,
inference(rat,[],[s796,s2536,s2537]) ).
cnf(s2556,plain,
~ spl2_243,
inference(rat,[],[s851,s2536,s2510,s2537]) ).
cnf(s2564,plain,
spl2_129,
inference(rat,[],[s618,s2515,s2510,s2540]) ).
cnf(s2581,plain,
~ spl2_164,
inference(rat,[],[s801,s2511,s2510,s2553]) ).
cnf(s2594,plain,
~ spl2_163,
inference(rat,[],[s684,s2553,s2564]) ).
cnf(s2607,plain,
spl2_165,
inference(rat,[],[s2022,s2020,s2581]) ).
cnf(s2615,plain,
spl2_162,
inference(rat,[],[s2023,s2020,s2594]) ).
cnf(s2633,plain,
$false,
inference(rat,[],[s912,s2556,s2532,s2615,s2607]) ).
thf(f18841,plain,
$false,
inference(avatar_sat_refutation,[],[s2633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRA097^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 18:56:34 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % (538464)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.19 % (538475)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.19 % (538475)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
% 0.08/0.19 % (538474)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2316583005:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.19 % (538470)lrs+10_16_si=on:nwc=1.5:random_seed=1728664514:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.19 % (538469)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3402186587:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.19 % (538471)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1972188993:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.19 % (538472)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=879468283: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)
% 0.08/0.19 % (538473)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=133817131:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.19 % (538475)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=1791437475:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.19 % (538471)Instruction limit reached!
% 0.08/0.19 % (538471)------------------------------
% 0.08/0.19 % (538471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (538471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (538471)CaDiCaL version: 2.1.3
% 0.08/0.19 % (538471)Termination reason: Instruction limit
% 0.08/0.19 % (538471)Termination phase: Saturation
% 0.08/0.19 % (538471)Time elapsed: 0.002 s
% 0.08/0.19 % (538471)Peak memory usage: 12 MB
% 0.08/0.19 % (538471)Instructions burned: 6 (million)
% 0.08/0.19 % (538470)Instruction limit reached!
% 0.08/0.19 % (538470)------------------------------
% 0.08/0.19 % (538470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (538470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (538470)CaDiCaL version: 2.1.3
% 0.08/0.19 % (538470)Termination reason: Instruction limit
% 0.08/0.19 % (538470)Termination phase: Saturation
% 0.08/0.19 % (538470)Time elapsed: 0.005 s
% 0.08/0.19 % (538470)Peak memory usage: 12 MB
% 0.08/0.19 % (538470)Instructions burned: 19 (million)
% 0.08/0.19 % (538473)Instruction limit reached!
% 0.08/0.19 % (538473)------------------------------
% 0.08/0.19 % (538473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (538473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (538473)CaDiCaL version: 2.1.3
% 0.08/0.19 % (538473)Termination reason: Instruction limit
% 0.08/0.19 % (538473)Termination phase: Saturation
% 0.08/0.19 % (538473)Time elapsed: 0.007 s
% 0.08/0.19 % (538473)Peak memory usage: 11 MB
% 0.08/0.19 % (538473)Instructions burned: 25 (million)
% 0.08/0.19 % (538483)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3723163670:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.19 % (538483)Instruction limit reached!
% 0.08/0.19 % (538483)------------------------------
% 0.08/0.19 % (538483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (538483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (538483)CaDiCaL version: 2.1.3
% 0.08/0.19 % (538483)Termination reason: Instruction limit
% 0.08/0.19 % (538483)Termination phase: Saturation
% 0.08/0.19 % (538483)Time elapsed: 0.001 s
% 0.08/0.19 % (538483)Peak memory usage: 12 MB
% 0.08/0.19 % (538483)Instructions burned: 2 (million)
% 0.08/0.19 % (538484)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3322138566:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.08/0.19 % (538485)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.21 % (538485)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=750290858:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.08/0.21 % (538484)Instruction limit reached!
% 0.08/0.21 % (538484)------------------------------
% 0.08/0.21 % (538484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (538484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (538484)CaDiCaL version: 2.1.3
% 0.08/0.21 % (538484)Termination reason: Instruction limit
% 0.08/0.21 % (538484)Termination phase: Saturation
% 0.08/0.21 % (538484)Time elapsed: 0.002 s
% 0.08/0.21 % (538484)Peak memory usage: 12 MB
% 0.08/0.21 % (538484)Instructions burned: 6 (million)
% 0.08/0.21 % (538474)Instruction limit reached!
% 0.08/0.21 % (538474)------------------------------
% 0.08/0.21 % (538474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (538474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (538474)CaDiCaL version: 2.1.3
% 0.08/0.21 % (538474)Termination reason: Instruction limit
% 0.08/0.21 % (538474)Termination phase: Saturation
% 0.08/0.21 % (538474)Time elapsed: 0.019 s
% 0.08/0.21 % (538474)Peak memory usage: 12 MB
% 0.08/0.21 % (538474)Instructions burned: 76 (million)
% 0.08/0.21 % (538469)Instruction limit reached!
% 0.08/0.21 % (538469)------------------------------
% 0.08/0.21 % (538469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (538469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (538469)CaDiCaL version: 2.1.3
% 0.08/0.21 % (538469)Termination reason: Instruction limit
% 0.08/0.21 % (538469)Termination phase: Saturation
% 0.08/0.21 % (538469)Time elapsed: 0.019 s
% 0.08/0.21 % (538469)Peak memory usage: 12 MB
% 0.08/0.21 % (538469)Instructions burned: 88 (million)
% 0.08/0.21 % (538485)Instruction limit reached!
% 0.08/0.21 % (538485)------------------------------
% 0.08/0.21 % (538485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (538485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (538485)CaDiCaL version: 2.1.3
% 0.08/0.21 % (538485)Termination reason: Instruction limit
% 0.08/0.21 % (538485)Termination phase: Saturation
% 0.08/0.21 % (538485)Time elapsed: 0.002 s
% 0.08/0.21 % (538485)Peak memory usage: 12 MB
% 0.08/0.21 % (538485)Instructions burned: 7 (million)
% 0.08/0.21 % (538487)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1022412268:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.08/0.21 % (538490)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
% 0.08/0.21 % (538490)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.21 % (538487)Instruction limit reached!
% 0.08/0.21 % (538487)------------------------------
% 0.08/0.21 % (538487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (538487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (538487)CaDiCaL version: 2.1.3
% 0.08/0.21 % (538487)Termination reason: Instruction limit
% 0.08/0.21 % (538487)Termination phase: Saturation
% 0.08/0.21 % (538487)Time elapsed: 0.004 s
% 0.08/0.21 % (538487)Peak memory usage: 12 MB
% 0.08/0.21 % (538487)Instructions burned: 13 (million)
% 0.08/0.21 % (538490)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2337109466:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.08/0.21 % (538493)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.08/0.21 % (538492)lrs+10_1_si=on:cs=on:random_seed=1731236219:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.08/0.21 % (538491)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=232191188:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.08/0.22 % (538493)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=1662021998:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.22 % (538493)Instruction limit reached!
% 0.08/0.22 % (538493)------------------------------
% 0.08/0.22 % (538493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (538493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (538493)CaDiCaL version: 2.1.3
% 0.08/0.22 % (538493)Termination reason: Instruction limit
% 0.08/0.22 % (538493)Termination phase: Saturation
% 0.08/0.22 % (538493)Time elapsed: 0.001 s
% 0.08/0.22 % (538493)Peak memory usage: 11 MB
% 0.08/0.22 % (538493)Instructions burned: 3 (million)
% 0.08/0.22 % (538492)Instruction limit reached!
% 0.08/0.22 % (538492)------------------------------
% 0.08/0.22 % (538492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (538492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (538492)CaDiCaL version: 2.1.3
% 0.08/0.22 % (538492)Termination reason: Instruction limit
% 0.08/0.22 % (538492)Termination phase: Saturation
% 0.08/0.22 % (538492)Time elapsed: 0.003 s
% 0.08/0.22 % (538492)Peak memory usage: 12 MB
% 0.08/0.22 % (538492)Instructions burned: 11 (million)
% 0.08/0.22 % (538475)Instruction limit reached!
% 0.08/0.22 % (538475)------------------------------
% 0.08/0.22 % (538475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (538475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (538475)CaDiCaL version: 2.1.3
% 0.08/0.22 % (538475)Termination reason: Instruction limit
% 0.08/0.22 % (538475)Termination phase: Saturation
% 0.08/0.22 % (538475)Time elapsed: 0.033 s
% 0.08/0.22 % (538475)Peak memory usage: 12 MB
% 0.08/0.22 % (538475)Instructions burned: 157 (million)
% 0.08/0.22 % (538490)Instruction limit reached!
% 0.08/0.22 % (538490)------------------------------
% 0.08/0.22 % (538490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (538490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (538490)CaDiCaL version: 2.1.3
% 0.08/0.22 % (538490)Termination reason: Instruction limit
% 0.08/0.22 % (538490)Termination phase: Saturation
% 0.08/0.22 % (538490)Time elapsed: 0.007 s
% 0.08/0.22 % (538490)Peak memory usage: 12 MB
% 0.08/0.22 % (538490)Instructions burned: 30 (million)
% 0.08/0.22 % (538496)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2408856294:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.08/0.22 % (538496)Refutation not found, incomplete strategy
% 0.08/0.22 % (538496)------------------------------
% 0.08/0.22 % (538496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (538496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (538496)CaDiCaL version: 2.1.3
% 0.08/0.22 % (538496)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.22 % (538496)Time elapsed: 0.0000 s
% 0.08/0.22 % (538496)Peak memory usage: 11 MB
% 0.08/0.22 % (538496)------------------------------
% 0.08/0.22 % (538496)------------------------------
% 0.08/0.22 % (538500)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4215100608:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.08/0.22 % (538500)Refutation not found, incomplete strategy
% 0.08/0.22 % (538500)------------------------------
% 0.08/0.22 % (538500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (538500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (538500)CaDiCaL version: 2.1.3
% 0.08/0.22 % (538500)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.22 % (538500)Time elapsed: 0.0000 s
% 0.08/0.22 % (538500)Peak memory usage: 11 MB
% 0.08/0.22 % (538500)Instructions burned: 1 (million)
% 0.08/0.22 % (538501)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1993926808:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.08/0.22 % (538500)------------------------------
% 0.08/0.22 % (538500)------------------------------
% 0.08/0.22 % (538501)Refutation not found, incomplete strategy
% 0.08/0.22 % (538501)------------------------------
% 0.08/0.22 % (538501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.24 % (538502)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1119249387:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.67/0.24 % (538501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.24 % (538501)CaDiCaL version: 2.1.3
% 0.67/0.24 % (538501)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.24 % (538501)Time elapsed: 0.0000 s
% 0.67/0.24 % (538501)Peak memory usage: 11 MB
% 0.67/0.24 % (538501)Instructions burned: 1 (million)
% 0.67/0.24 % (538501)------------------------------
% 0.67/0.24 % (538501)------------------------------
% 0.67/0.24 % (538503)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3320877486:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.67/0.24 % (538503)Refutation not found, incomplete strategy
% 0.67/0.24 % (538503)------------------------------
% 0.67/0.24 % (538503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.24 % (538503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.24 % (538503)CaDiCaL version: 2.1.3
% 0.67/0.24 % (538503)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.24 % (538503)Time elapsed: 0.0000 s
% 0.67/0.24 % (538503)Peak memory usage: 11 MB
% 0.67/0.24 % (538503)Instructions burned: 1 (million)
% 0.67/0.24 % (538503)------------------------------
% 0.67/0.24 % (538503)------------------------------
% 0.67/0.24 % (538502)Instruction limit reached!
% 0.67/0.24 % (538502)------------------------------
% 0.67/0.24 % (538502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.24 % (538502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.24 % (538502)CaDiCaL version: 2.1.3
% 0.67/0.24 % (538502)Termination reason: Instruction limit
% 0.67/0.24 % (538502)Termination phase: Saturation
% 0.67/0.24 % (538502)Time elapsed: 0.005 s
% 0.67/0.24 % (538502)Peak memory usage: 12 MB
% 0.67/0.24 % (538502)Instructions burned: 16 (million)
% 0.67/0.24 % (538505)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3484731509:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.67/0.24 % (538491)Instruction limit reached!
% 0.67/0.24 % (538491)------------------------------
% 0.67/0.24 % (538491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.24 % (538491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.24 % (538491)CaDiCaL version: 2.1.3
% 0.67/0.24 % (538491)Termination reason: Instruction limit
% 0.67/0.24 % (538491)Termination phase: Saturation
% 0.67/0.24 % (538491)Time elapsed: 0.022 s
% 0.67/0.24 % (538491)Peak memory usage: 12 MB
% 0.67/0.24 % (538491)Instructions burned: 89 (million)
% 0.67/0.24 % (538509)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1043574496:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.24 % (538510)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2488358041:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.67/0.24 % (538509)Refutation not found, incomplete strategy
% 0.67/0.24 % (538509)------------------------------
% 0.67/0.24 % (538509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.24 % (538509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.24 % (538509)CaDiCaL version: 2.1.3
% 0.67/0.24 % (538509)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.24 % (538509)Time elapsed: 0.0000 s
% 0.67/0.24 % (538509)Peak memory usage: 11 MB
% 0.67/0.24 % (538505)Instruction limit reached!
% 0.67/0.24 % (538505)------------------------------
% 0.67/0.24 % (538505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.24 % (538505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.24 % (538505)CaDiCaL version: 2.1.3
% 0.67/0.24 % (538505)Termination reason: Instruction limit
% 0.67/0.24 % (538505)Termination phase: Saturation
% 0.67/0.24 % (538505)Time elapsed: 0.004 s
% 0.67/0.24 % (538505)Peak memory usage: 12 MB
% 0.67/0.24 % (538505)Instructions burned: 15 (million)
% 0.67/0.24 % (538509)------------------------------
% 0.67/0.24 % (538509)------------------------------
% 0.67/0.24 % (538512)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3692103068:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.67/0.26 % (538513)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=205362723:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.67/0.26 % (538515)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
% 0.67/0.26 % (538515)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.67/0.26 % (538510)Instruction limit reached!
% 0.67/0.26 % (538510)------------------------------
% 0.67/0.26 % (538510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.26 % (538510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.26 % (538510)CaDiCaL version: 2.1.3
% 0.67/0.26 % (538510)Termination reason: Instruction limit
% 0.67/0.26 % (538510)Termination phase: Saturation
% 0.67/0.26 % (538510)Time elapsed: 0.008 s
% 0.67/0.26 % (538510)Peak memory usage: 12 MB
% 0.67/0.26 % (538510)Instructions burned: 30 (million)
% 0.67/0.26 % (538515)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=999036655:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.67/0.26 % (538518)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.67/0.26 % (538512)Instruction limit reached!
% 0.67/0.26 % (538512)------------------------------
% 0.67/0.26 % (538512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.26 % (538512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.26 % (538512)CaDiCaL version: 2.1.3
% 0.67/0.26 % (538512)Termination reason: Instruction limit
% 0.67/0.26 % (538512)Termination phase: Saturation
% 0.67/0.26 % (538512)Time elapsed: 0.005 s
% 0.67/0.26 % (538512)Peak memory usage: 11 MB
% 0.67/0.26 % (538512)Instructions burned: 23 (million)
% 0.67/0.26 % (538518)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=1033637439:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.26 % (538519)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=1318726626:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.67/0.26 % (538515)Instruction limit reached!
% 0.67/0.26 % (538515)------------------------------
% 0.67/0.26 % (538515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.26 % (538515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.26 % (538515)CaDiCaL version: 2.1.3
% 0.67/0.26 % (538515)Termination reason: Instruction limit
% 0.67/0.26 % (538515)Termination phase: Saturation
% 0.67/0.26 % (538515)Time elapsed: 0.004 s
% 0.67/0.26 % (538515)Peak memory usage: 12 MB
% 0.67/0.26 % (538515)Instructions burned: 15 (million)
% 0.67/0.26 % (538518)Instruction limit reached!
% 0.67/0.26 % (538518)------------------------------
% 0.67/0.26 % (538518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.26 % (538518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.26 % (538518)CaDiCaL version: 2.1.3
% 0.67/0.26 % (538518)Termination reason: Instruction limit
% 0.67/0.26 % (538518)Termination phase: Saturation
% 0.67/0.26 % (538518)Time elapsed: 0.003 s
% 0.67/0.26 % (538518)Peak memory usage: 12 MB
% 0.67/0.26 % (538518)Instructions burned: 11 (million)
% 0.67/0.26 % (538523)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4179559839:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.26 % (538524)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1108203071:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.67/0.26 % (538519)Instruction limit reached!
% 0.67/0.26 % (538519)------------------------------
% 0.67/0.26 % (538519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.26 % (538519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.28 % (538519)CaDiCaL version: 2.1.3
% 0.67/0.28 % (538519)Termination reason: Instruction limit
% 0.67/0.28 % (538519)Termination phase: Saturation
% 0.67/0.28 % (538519)Time elapsed: 0.009 s
% 0.67/0.28 % (538519)Peak memory usage: 12 MB
% 0.67/0.28 % (538519)Instructions burned: 33 (million)
% 0.67/0.28 % (538523)Instruction limit reached!
% 0.67/0.28 % (538523)------------------------------
% 0.67/0.28 % (538523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.28 % (538523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.28 % (538523)CaDiCaL version: 2.1.3
% 0.67/0.28 % (538523)Termination reason: Instruction limit
% 0.67/0.28 % (538523)Termination phase: Saturation
% 0.67/0.28 % (538523)Time elapsed: 0.003 s
% 0.67/0.28 % (538523)Peak memory usage: 12 MB
% 0.67/0.28 % (538523)Instructions burned: 10 (million)
% 0.67/0.28 % (538513)Instruction limit reached!
% 0.67/0.28 % (538513)------------------------------
% 0.67/0.28 % (538513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.28 % (538513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.28 % (538513)CaDiCaL version: 2.1.3
% 0.67/0.28 % (538513)Termination reason: Instruction limit
% 0.67/0.28 % (538513)Termination phase: Saturation
% 0.67/0.28 % (538513)Time elapsed: 0.018 s
% 0.67/0.28 % (538513)Peak memory usage: 12 MB
% 0.67/0.28 % (538513)Instructions burned: 64 (million)
% 0.67/0.28 % (538527)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1368984660:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/20Mi)
% 0.67/0.28 % (538528)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3903562258:i=1240:rtra=on:ixr=off_2999 on theBenchmark for (2999ds/1240Mi)
% 0.67/0.28 % (538524)Instruction limit reached!
% 0.67/0.28 % (538524)------------------------------
% 0.67/0.28 % (538524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.28 % (538524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.28 % (538524)CaDiCaL version: 2.1.3
% 0.67/0.28 % (538524)Termination reason: Instruction limit
% 0.67/0.28 % (538524)Termination phase: Saturation
% 0.67/0.28 % (538524)Time elapsed: 0.007 s
% 0.67/0.28 % (538524)Peak memory usage: 12 MB
% 0.67/0.28 % (538524)Instructions burned: 32 (million)
% 0.67/0.28 % (538531)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=841409066:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/143Mi)
% 0.67/0.28 % (538527)Instruction limit reached!
% 0.67/0.28 % (538527)------------------------------
% 0.67/0.28 % (538527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.28 % (538527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.28 % (538527)CaDiCaL version: 2.1.3
% 0.67/0.28 % (538527)Termination reason: Instruction limit
% 0.67/0.28 % (538527)Termination phase: Saturation
% 0.67/0.28 % (538527)Time elapsed: 0.006 s
% 0.67/0.28 % (538527)Peak memory usage: 12 MB
% 0.67/0.28 % (538527)Instructions burned: 21 (million)
% 0.67/0.28 % (538532)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2618488615:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/193Mi)
% 0.67/0.28 % (538532)Refutation not found, incomplete strategy
% 0.67/0.28 % (538532)------------------------------
% 0.67/0.28 % (538532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.28 % (538532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.28 % (538532)CaDiCaL version: 2.1.3
% 0.67/0.28 % (538532)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.28 % (538532)Time elapsed: 0.0000 s
% 0.67/0.28 % (538532)Peak memory usage: 12 MB
% 0.67/0.28 % (538532)Instructions burned: 1 (million)
% 0.67/0.28 % (538532)------------------------------
% 0.67/0.28 % (538532)------------------------------
% 0.67/0.28 % (538534)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=336642546:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.67/0.28 % (538536)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.28 % (538536)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2984698104:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.67/0.28 % (538536)Instruction limit reached!
% 0.67/0.28 % (538536)------------------------------
% 0.67/0.31 % (538536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.31 % (538536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.31 % (538536)CaDiCaL version: 2.1.3
% 0.67/0.31 % (538536)Termination reason: Instruction limit
% 0.67/0.31 % (538536)Termination phase: Saturation
% 0.67/0.31 % (538536)Time elapsed: 0.003 s
% 0.67/0.31 % (538538)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1430290571:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 0.67/0.31 % (538536)Peak memory usage: 12 MB
% 0.67/0.31 % (538536)Instructions burned: 11 (million)
% 0.67/0.31 % (538538)Refutation not found, incomplete strategy
% 0.67/0.31 % (538538)------------------------------
% 0.67/0.31 % (538538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.31 % (538538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.31 % (538538)CaDiCaL version: 2.1.3
% 0.67/0.31 % (538538)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.31 % (538538)Time elapsed: 0.0000 s
% 0.67/0.31 % (538538)Peak memory usage: 11 MB
% 0.67/0.31 % (538538)Instructions burned: 1 (million)
% 0.67/0.31 % (538538)------------------------------
% 0.67/0.31 % (538538)------------------------------
% 0.67/0.31 % (538540)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=970622686:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 0.67/0.31 % (538540)Refutation not found, incomplete strategy
% 0.67/0.31 % (538540)------------------------------
% 0.67/0.31 % (538540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.31 % (538540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.31 % (538540)CaDiCaL version: 2.1.3
% 0.67/0.31 % (538540)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.31 % (538540)Time elapsed: 0.0000 s
% 0.67/0.31 % (538540)Peak memory usage: 11 MB
% 0.67/0.31 % (538540)Instructions burned: 1 (million)
% 0.67/0.31 % (538540)------------------------------
% 0.67/0.31 % (538540)------------------------------
% 0.67/0.31 % (538534)Instruction limit reached!
% 0.67/0.31 % (538534)------------------------------
% 0.67/0.31 % (538534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.31 % (538534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.31 % (538534)CaDiCaL version: 2.1.3
% 0.67/0.31 % (538534)Termination reason: Instruction limit
% 0.67/0.31 % (538534)Termination phase: Saturation
% 0.67/0.31 % (538534)Time elapsed: 0.011 s
% 0.67/0.31 % (538534)Peak memory usage: 12 MB
% 0.67/0.31 % (538534)Instructions burned: 46 (million)
% 0.67/0.31 % (538544)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 0.67/0.31 % (538544)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2993724010:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 0.67/0.31 % (538544)Refutation not found, incomplete strategy
% 0.67/0.31 % (538544)------------------------------
% 0.67/0.31 % (538544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.31 % (538544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.31 % (538544)CaDiCaL version: 2.1.3
% 0.67/0.31 % (538544)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.31 % (538544)Time elapsed: 0.0000 s
% 0.67/0.31 % (538544)Peak memory usage: 11 MB
% 0.67/0.31 % (538544)Instructions burned: 1 (million)
% 0.67/0.31 % (538545)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1291141313:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 0.67/0.31 % (538544)------------------------------
% 0.67/0.31 % (538544)------------------------------
% 0.67/0.31 % (538472)Instruction limit reached!
% 0.67/0.31 % (538472)------------------------------
% 0.67/0.31 % (538472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.31 % (538472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.31 % (538472)CaDiCaL version: 2.1.3
% 0.67/0.31 % (538472)Termination reason: Instruction limit
% 0.67/0.31 % (538472)Termination phase: Saturation
% 0.67/0.31 % (538472)Time elapsed: 0.108 s
% 1.38/0.34 % (538472)Peak memory usage: 13 MB
% 1.38/0.34 % (538472)Instructions burned: 637 (million)
% 1.38/0.34 % (538547)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2653276578:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.38/0.34 % (538547)Refutation not found, incomplete strategy
% 1.38/0.34 % (538547)------------------------------
% 1.38/0.34 % (538547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.34 % (538547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.34 % (538547)CaDiCaL version: 2.1.3
% 1.38/0.34 % (538547)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.34 % (538547)Time elapsed: 0.001 s
% 1.38/0.34 % (538547)Peak memory usage: 12 MB
% 1.38/0.34 % (538547)Instructions burned: 3 (million)
% 1.38/0.34 % (538547)------------------------------
% 1.38/0.34 % (538547)------------------------------
% 1.38/0.34 % (538548)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=2107502289:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.38/0.34 % (538545)Instruction limit reached!
% 1.38/0.34 % (538545)------------------------------
% 1.38/0.34 % (538545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.34 % (538545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.34 % (538545)CaDiCaL version: 2.1.3
% 1.38/0.34 % (538545)Termination reason: Instruction limit
% 1.38/0.34 % (538545)Termination phase: Saturation
% 1.38/0.34 % (538545)Time elapsed: 0.006 s
% 1.38/0.34 % (538545)Peak memory usage: 12 MB
% 1.38/0.34 % (538545)Instructions burned: 25 (million)
% 1.38/0.34 % (538531)Instruction limit reached!
% 1.38/0.34 % (538531)------------------------------
% 1.38/0.34 % (538531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.34 % (538531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.34 % (538531)CaDiCaL version: 2.1.3
% 1.38/0.34 % (538531)Termination reason: Instruction limit
% 1.38/0.34 % (538531)Termination phase: Saturation
% 1.38/0.34 % (538531)Time elapsed: 0.031 s
% 1.38/0.34 % (538531)Peak memory usage: 13 MB
% 1.38/0.34 % (538531)Instructions burned: 148 (million)
% 1.38/0.34 % (538551)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=4078924704:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.38/0.34 % (538553)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=1503330588:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.38/0.34 % (538555)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3514687809:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.38/0.34 % (538555)Refutation not found, incomplete strategy
% 1.38/0.34 % (538555)------------------------------
% 1.38/0.34 % (538555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.34 % (538555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.34 % (538555)CaDiCaL version: 2.1.3
% 1.38/0.34 % (538555)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.34 % (538555)Time elapsed: 0.0000 s
% 1.38/0.34 % (538555)Peak memory usage: 12 MB
% 1.38/0.34 % (538555)Instructions burned: 1 (million)
% 1.38/0.34 % (538555)------------------------------
% 1.38/0.34 % (538555)------------------------------
% 1.38/0.34 % (538556)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1890497616:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.38/0.34 % (538557)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.38/0.34 % (538557)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1919506521:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/200Mi)
% 1.38/0.34 % (538556)Instruction limit reached!
% 1.38/0.34 % (538556)------------------------------
% 1.38/0.34 % (538556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.37 % (538556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.37 % (538556)CaDiCaL version: 2.1.3
% 1.38/0.37 % (538556)Termination reason: Instruction limit
% 1.38/0.37 % (538556)Termination phase: Saturation
% 1.38/0.37 % (538556)Time elapsed: 0.006 s
% 1.38/0.37 % (538556)Peak memory usage: 12 MB
% 1.38/0.37 % (538556)Instructions burned: 21 (million)
% 1.38/0.37 % (538561)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=263090133:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/13Mi)
% 1.38/0.37 % (538553)Instruction limit reached!
% 1.38/0.37 % (538553)------------------------------
% 1.38/0.37 % (538553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.37 % (538553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.37 % (538553)CaDiCaL version: 2.1.3
% 1.38/0.37 % (538553)Termination reason: Instruction limit
% 1.38/0.37 % (538553)Termination phase: Saturation
% 1.38/0.37 % (538553)Time elapsed: 0.013 s
% 1.38/0.37 % (538553)Peak memory usage: 12 MB
% 1.38/0.37 % (538553)Instructions burned: 45 (million)
% 1.38/0.37 % (538561)Instruction limit reached!
% 1.38/0.37 % (538561)------------------------------
% 1.38/0.37 % (538561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.37 % (538561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.37 % (538561)CaDiCaL version: 2.1.3
% 1.38/0.37 % (538561)Termination reason: Instruction limit
% 1.38/0.37 % (538561)Termination phase: Saturation
% 1.38/0.37 % (538561)Time elapsed: 0.005 s
% 1.38/0.37 % (538561)Peak memory usage: 12 MB
% 1.38/0.37 % (538561)Instructions burned: 15 (million)
% 1.38/0.37 % (538564)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=3366540753:i=66:s2at=3:nm=2:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/66Mi)
% 1.38/0.37 % (538566)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3595723972:i=51:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/51Mi)
% 1.38/0.37 % (538566)Refutation not found, incomplete strategy
% 1.38/0.37 % (538566)------------------------------
% 1.38/0.37 % (538566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.37 % (538566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.37 % (538566)CaDiCaL version: 2.1.3
% 1.38/0.37 % (538566)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.37 % (538566)Time elapsed: 0.001 s
% 1.38/0.37 % (538566)Peak memory usage: 12 MB
% 1.38/0.37 % (538566)Instructions burned: 2 (million)
% 1.38/0.37 % (538566)------------------------------
% 1.38/0.37 % (538566)------------------------------
% 1.38/0.37 % (538567)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=543774624:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.38/0.37 % (538570)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=193961081:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2998 on theBenchmark for (2998ds/137Mi)
% 1.38/0.37 % (538567)Instruction limit reached!
% 1.38/0.37 % (538567)------------------------------
% 1.38/0.37 % (538567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.37 % (538567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.37 % (538567)CaDiCaL version: 2.1.3
% 1.38/0.37 % (538567)Termination reason: Instruction limit
% 1.38/0.37 % (538567)Termination phase: Saturation
% 1.38/0.37 % (538567)Time elapsed: 0.008 s
% 1.38/0.37 % (538567)Peak memory usage: 12 MB
% 1.38/0.37 % (538567)Instructions burned: 31 (million)
% 1.38/0.37 % (538564)Instruction limit reached!
% 1.38/0.37 % (538564)------------------------------
% 1.38/0.37 % (538564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.37 % (538564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.37 % (538564)CaDiCaL version: 2.1.3
% 1.38/0.37 % (538564)Termination reason: Instruction limit
% 1.38/0.37 % (538564)Termination phase: Saturation
% 1.38/0.37 % (538564)Time elapsed: 0.016 s
% 1.38/0.37 % (538564)Peak memory usage: 12 MB
% 1.38/0.37 % (538564)Instructions burned: 69 (million)
% 1.38/0.37 % (538557)Instruction limit reached!
% 1.38/0.37 % (538557)------------------------------
% 1.38/0.37 % (538557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.39 % (538557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.39 % (538557)CaDiCaL version: 2.1.3
% 1.38/0.39 % (538557)Termination reason: Instruction limit
% 1.38/0.39 % (538557)Termination phase: Saturation
% 1.38/0.39 % (538557)Time elapsed: 0.039 s
% 1.38/0.39 % (538557)Peak memory usage: 12 MB
% 1.38/0.39 % (538557)Instructions burned: 203 (million)
% 1.38/0.39 % (538573)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=2380250889:cond=on:i=34:hud=10:nm=10:rtra=on_2998 on theBenchmark for (2998ds/34Mi)
% 1.38/0.39 % (538574)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=971478230:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/67Mi)
% 1.38/0.39 % (538574)Refutation not found, incomplete strategy
% 1.38/0.39 % (538574)------------------------------
% 1.38/0.39 % (538574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.39 % (538574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.39 % (538574)CaDiCaL version: 2.1.3
% 1.38/0.39 % (538574)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.39 % (538574)Time elapsed: 0.001 s
% 1.38/0.39 % (538574)Peak memory usage: 12 MB
% 1.38/0.39 % (538574)Instructions burned: 2 (million)
% 1.38/0.39 % (538574)------------------------------
% 1.38/0.39 % (538574)------------------------------
% 1.38/0.39 % (538575)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.38/0.39 % (538575)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3707015098:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2998 on theBenchmark for (2998ds/180Mi)
% 1.38/0.39 % (538573)Instruction limit reached!
% 1.38/0.39 % (538573)------------------------------
% 1.38/0.39 % (538573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.39 % (538573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.39 % (538573)CaDiCaL version: 2.1.3
% 1.38/0.39 % (538573)Termination reason: Instruction limit
% 1.38/0.39 % (538573)Termination phase: Saturation
% 1.38/0.39 % (538573)Time elapsed: 0.009 s
% 1.38/0.39 % (538573)Peak memory usage: 12 MB
% 1.38/0.39 % (538573)Instructions burned: 35 (million)
% 1.38/0.39 % (538578)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3893562460:st=2:i=246:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/246Mi)
% 1.38/0.39 % (538578)Refutation not found, incomplete strategy
% 1.38/0.39 % (538578)------------------------------
% 1.38/0.39 % (538578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.39 % (538578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.39 % (538578)CaDiCaL version: 2.1.3
% 1.38/0.39 % (538578)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.39 % (538578)Time elapsed: 0.0000 s
% 1.38/0.39 % (538578)Peak memory usage: 12 MB
% 1.38/0.39 % (538578)Instructions burned: 1 (million)
% 1.38/0.39 % (538578)------------------------------
% 1.38/0.39 % (538578)------------------------------
% 1.38/0.39 % (538580)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2681708219:cond=on:i=96:bd=all:rtra=on_2998 on theBenchmark for (2998ds/96Mi)
% 1.38/0.39 % (538570)Instruction limit reached!
% 1.38/0.39 % (538570)------------------------------
% 1.38/0.39 % (538570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.39 % (538570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.39 % (538570)CaDiCaL version: 2.1.3
% 1.38/0.39 % (538570)Termination reason: Instruction limit
% 1.38/0.39 % (538570)Termination phase: Saturation
% 1.38/0.39 % (538570)Time elapsed: 0.033 s
% 1.38/0.39 % (538570)Peak memory usage: 13 MB
% 1.38/0.39 % (538570)Instructions burned: 141 (million)
% 1.38/0.39 % (538582)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1052058293:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 1.38/0.39 % (538582)Refutation not found, incomplete strategy
% 1.38/0.39 % (538582)------------------------------
% 1.38/0.39 % (538582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.39 % (538582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.39 % (538582)CaDiCaL version: 2.1.3
% 1.38/0.39 % (538582)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.43 % (538582)Time elapsed: 0.0000 s
% 1.38/0.43 % (538582)Peak memory usage: 12 MB
% 1.38/0.43 % (538582)Instructions burned: 1 (million)
% 1.38/0.43 % (538582)------------------------------
% 1.38/0.43 % (538582)------------------------------
% 1.38/0.43 % (538548)Instruction limit reached!
% 1.38/0.43 % (538548)------------------------------
% 1.38/0.43 % (538548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.43 % (538548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.43 % (538548)CaDiCaL version: 2.1.3
% 1.38/0.43 % (538548)Termination reason: Instruction limit
% 1.38/0.43 % (538548)Termination phase: Saturation
% 1.38/0.43 % (538548)Time elapsed: 0.087 s
% 1.38/0.43 % (538548)Peak memory usage: 13 MB
% 1.38/0.43 % (538548)Instructions burned: 318 (million)
% 1.38/0.43 % (538584)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3591210449:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 1.38/0.43 % (538584)Refutation not found, incomplete strategy
% 1.38/0.43 % (538584)------------------------------
% 1.38/0.43 % (538584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.43 % (538584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.43 % (538584)CaDiCaL version: 2.1.3
% 1.38/0.43 % (538584)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.43 % (538584)Time elapsed: 0.0000 s
% 1.38/0.43 % (538584)Peak memory usage: 11 MB
% 1.38/0.43 % (538584)Instructions burned: 1 (million)
% 1.38/0.43 % (538584)------------------------------
% 1.38/0.43 % (538584)------------------------------
% 1.38/0.43 % (538586)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3047995388:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/515Mi)
% 1.38/0.43 % (538586)Refutation not found, incomplete strategy
% 1.38/0.43 % (538586)------------------------------
% 1.38/0.43 % (538586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.43 % (538586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.43 % (538586)CaDiCaL version: 2.1.3
% 1.38/0.43 % (538586)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.43 % (538586)Time elapsed: 0.0000 s
% 1.38/0.43 % (538586)Peak memory usage: 12 MB
% 1.38/0.43 % (538586)Instructions burned: 1 (million)
% 1.38/0.43 % (538586)------------------------------
% 1.38/0.43 % (538586)------------------------------
% 1.38/0.43 % (538587)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3837087965:st=1.5:i=130:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/130Mi)
% 1.38/0.43 % (538587)Refutation not found, incomplete strategy
% 1.38/0.43 % (538587)------------------------------
% 1.38/0.43 % (538587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.43 % (538587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.43 % (538587)CaDiCaL version: 2.1.3
% 1.38/0.43 % (538587)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.43 % (538587)Time elapsed: 0.0000 s
% 1.38/0.43 % (538587)Peak memory usage: 11 MB
% 1.38/0.43 % (538587)Instructions burned: 1 (million)
% 1.38/0.43 % (538587)------------------------------
% 1.38/0.43 % (538587)------------------------------
% 1.38/0.43 % (538589)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2637078102:i=44:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/44Mi)
% 1.38/0.43 % (538580)Instruction limit reached!
% 1.38/0.43 % (538580)------------------------------
% 1.38/0.43 % (538580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.43 % (538580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.43 % (538580)CaDiCaL version: 2.1.3
% 1.38/0.43 % (538580)Termination reason: Instruction limit
% 1.38/0.43 % (538580)Termination phase: Saturation
% 1.38/0.43 % (538580)Time elapsed: 0.022 s
% 1.38/0.43 % (538580)Peak memory usage: 12 MB
% 1.38/0.43 % (538580)Instructions burned: 98 (million)
% 1.38/0.43 % (538591)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1080338553:s2a=on:i=571:nm=16:rtra=on_2997 on theBenchmark for (2997ds/571Mi)
% 1.38/0.43 % (538591)Refutation not found, incomplete strategy
% 1.38/0.43 % (538591)------------------------------
% 1.38/0.43 % (538591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.43 % (538591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.47 % (538591)CaDiCaL version: 2.1.3
% 2.04/0.47 % (538591)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.47 % (538591)Time elapsed: 0.001 s
% 2.04/0.47 % (538591)Peak memory usage: 12 MB
% 2.04/0.47 % (538591)Instructions burned: 2 (million)
% 2.04/0.47 % (538591)------------------------------
% 2.04/0.47 % (538591)------------------------------
% 2.04/0.47 % (538575)Instruction limit reached!
% 2.04/0.47 % (538575)------------------------------
% 2.04/0.47 % (538575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.47 % (538575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.47 % (538575)CaDiCaL version: 2.1.3
% 2.04/0.47 % (538575)Termination reason: Instruction limit
% 2.04/0.47 % (538575)Termination phase: Saturation
% 2.04/0.47 % (538575)Time elapsed: 0.042 s
% 2.04/0.47 % (538575)Peak memory usage: 12 MB
% 2.04/0.47 % (538575)Instructions burned: 182 (million)
% 2.04/0.47 % (538593)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4020550521:i=450:rtra=on:ixr=off:ntd=on_2997 on theBenchmark for (2997ds/450Mi)
% 2.04/0.47 % (538595)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3805640113:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/95Mi)
% 2.04/0.47 % (538589)Instruction limit reached!
% 2.04/0.47 % (538589)------------------------------
% 2.04/0.47 % (538589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.47 % (538589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.47 % (538589)CaDiCaL version: 2.1.3
% 2.04/0.47 % (538589)Termination reason: Instruction limit
% 2.04/0.47 % (538589)Termination phase: Saturation
% 2.04/0.47 % (538589)Time elapsed: 0.012 s
% 2.04/0.47 % (538589)Peak memory usage: 12 MB
% 2.04/0.47 % (538589)Instructions burned: 45 (million)
% 2.04/0.47 % (538597)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=3821783716:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2997 on theBenchmark for (2997ds/65Mi)
% 2.04/0.47 % (538598)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=2707123135:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2997 on theBenchmark for (2997ds/105Mi)
% 2.04/0.47 % (538601)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=1928160857:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2997 on theBenchmark for (2997ds/5755Mi)
% 2.04/0.47 % (538601)Refutation not found, incomplete strategy
% 2.04/0.47 % (538601)------------------------------
% 2.04/0.47 % (538601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.47 % (538601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.47 % (538601)CaDiCaL version: 2.1.3
% 2.04/0.47 % (538601)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.47 % (538601)Time elapsed: 0.0000 s
% 2.04/0.47 % (538601)Peak memory usage: 12 MB
% 2.04/0.47 % (538601)Instructions burned: 1 (million)
% 2.04/0.47 % (538601)------------------------------
% 2.04/0.47 % (538601)------------------------------
% 2.04/0.47 % (538595)Instruction limit reached!
% 2.04/0.47 % (538595)------------------------------
% 2.04/0.47 % (538595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.47 % (538595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.47 % (538595)CaDiCaL version: 2.1.3
% 2.04/0.47 % (538595)Termination reason: Instruction limit
% 2.04/0.47 % (538595)Termination phase: Saturation
% 2.04/0.47 % (538595)Time elapsed: 0.022 s
% 2.04/0.47 % (538595)Peak memory usage: 12 MB
% 2.04/0.47 % (538595)Instructions burned: 97 (million)
% 2.04/0.47 % (538605)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3770240261:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/375Mi)
% 2.04/0.47 % (538597)Instruction limit reached!
% 2.04/0.47 % (538597)------------------------------
% 2.04/0.47 % (538597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.47 % (538597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538597)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538597)Termination reason: Instruction limit
% 2.04/0.51 % (538597)Termination phase: Saturation
% 2.04/0.51 % (538597)Time elapsed: 0.017 s
% 2.04/0.51 % (538597)Peak memory usage: 12 MB
% 2.04/0.51 % (538597)Instructions burned: 66 (million)
% 2.04/0.51 % (538605)Refutation not found, incomplete strategy
% 2.04/0.51 % (538605)------------------------------
% 2.04/0.51 % (538605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.51 % (538605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538605)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538605)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.51 % (538605)Time elapsed: 0.0000 s
% 2.04/0.51 % (538605)Peak memory usage: 11 MB
% 2.04/0.51 % (538605)Instructions burned: 1 (million)
% 2.04/0.51 % (538605)------------------------------
% 2.04/0.51 % (538605)------------------------------
% 2.04/0.51 % (538606)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2901883516:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/495Mi)
% 2.04/0.51 % (538608)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=2612732509:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.04/0.51 % (538609)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3382150445:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/91Mi)
% 2.04/0.51 % (538598)Instruction limit reached!
% 2.04/0.51 % (538598)------------------------------
% 2.04/0.51 % (538598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.51 % (538598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538598)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538598)Termination reason: Instruction limit
% 2.04/0.51 % (538598)Termination phase: Saturation
% 2.04/0.51 % (538598)Time elapsed: 0.031 s
% 2.04/0.51 % (538598)Peak memory usage: 12 MB
% 2.04/0.51 % (538598)Instructions burned: 107 (million)
% 2.04/0.51 % (538608)Instruction limit reached!
% 2.04/0.51 % (538608)------------------------------
% 2.04/0.51 % (538608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.51 % (538608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538608)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538608)Termination reason: Instruction limit
% 2.04/0.51 % (538608)Termination phase: Saturation
% 2.04/0.51 % (538608)Time elapsed: 0.011 s
% 2.04/0.51 % (538608)Peak memory usage: 12 MB
% 2.04/0.51 % (538608)Instructions burned: 40 (million)
% 2.04/0.51 % (538551)Instruction limit reached!
% 2.04/0.51 % (538551)------------------------------
% 2.04/0.51 % (538551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.51 % (538551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538551)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538551)Termination reason: Instruction limit
% 2.04/0.51 % (538551)Termination phase: Saturation
% 2.04/0.51 % (538551)Time elapsed: 0.152 s
% 2.04/0.51 % (538551)Peak memory usage: 13 MB
% 2.04/0.51 % (538551)Instructions burned: 855 (million)
% 2.04/0.51 % (538613)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2716560472:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.04/0.51 % (538613)Refutation not found, incomplete strategy
% 2.04/0.51 % (538613)------------------------------
% 2.04/0.51 % (538613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.51 % (538613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538613)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538613)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.51 % (538613)Time elapsed: 0.0000 s
% 2.04/0.51 % (538613)Peak memory usage: 11 MB
% 2.04/0.51 % (538613)------------------------------
% 2.04/0.51 % (538613)------------------------------
% 2.04/0.51 % (538609)Instruction limit reached!
% 2.04/0.51 % (538609)------------------------------
% 2.04/0.51 % (538609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.51 % (538609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.51 % (538609)CaDiCaL version: 2.1.3
% 2.04/0.51 % (538609)Termination reason: Instruction limit
% 2.04/0.51 % (538609)Termination phase: Saturation
% 2.04/0.51 % (538609)Time elapsed: 0.019 s
% 2.79/0.55 % (538609)Peak memory usage: 12 MB
% 2.79/0.55 % (538609)Instructions burned: 92 (million)
% 2.79/0.55 % (538614)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4280614703:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.79/0.55 % (538615)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=2438264885:i=338:bd=all:ins=4:rtra=on_2997 on theBenchmark for (2997ds/338Mi)
% 2.79/0.55 % (538617)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1187332287:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2997 on theBenchmark for (2997ds/28Mi)
% 2.79/0.55 % (538617)Refutation not found, incomplete strategy
% 2.79/0.55 % (538617)------------------------------
% 2.79/0.55 % (538617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.55 % (538617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.55 % (538617)CaDiCaL version: 2.1.3
% 2.79/0.55 % (538617)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.55 % (538617)Time elapsed: 0.0000 s
% 2.79/0.55 % (538617)Peak memory usage: 12 MB
% 2.79/0.55 % (538617)Instructions burned: 1 (million)
% 2.79/0.55 % (538617)------------------------------
% 2.79/0.55 % (538617)------------------------------
% 2.79/0.55 % (538614)Instruction limit reached!
% 2.79/0.55 % (538614)------------------------------
% 2.79/0.55 % (538614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.55 % (538614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.55 % (538614)CaDiCaL version: 2.1.3
% 2.79/0.55 % (538614)Termination reason: Instruction limit
% 2.79/0.55 % (538614)Termination phase: Saturation
% 2.79/0.55 % (538614)Time elapsed: 0.005 s
% 2.79/0.55 % (538614)Peak memory usage: 12 MB
% 2.79/0.55 % (538614)Instructions burned: 22 (million)
% 2.79/0.55 % (538618)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 2.79/0.55 % (538618)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=900746822:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.79/0.55 % (538622)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=3926098169:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2996 on theBenchmark for (2996ds/340Mi)
% 2.79/0.55 % (538623)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=17108207:i=227:sd=1:bd=all:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/227Mi)
% 2.79/0.55 % (538623)Refutation not found, incomplete strategy
% 2.79/0.55 % (538623)------------------------------
% 2.79/0.55 % (538623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.55 % (538623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.55 % (538623)CaDiCaL version: 2.1.3
% 2.79/0.55 % (538623)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.55 % (538623)Time elapsed: 0.0000 s
% 2.79/0.55 % (538623)Peak memory usage: 11 MB
% 2.79/0.55 % (538623)------------------------------
% 2.79/0.55 % (538623)------------------------------
% 2.79/0.55 % (538593)Instruction limit reached!
% 2.79/0.55 % (538593)------------------------------
% 2.79/0.55 % (538593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.55 % (538593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.55 % (538593)CaDiCaL version: 2.1.3
% 2.79/0.55 % (538593)Termination reason: Instruction limit
% 2.79/0.55 % (538593)Termination phase: Saturation
% 2.79/0.55 % (538593)Time elapsed: 0.081 s
% 2.79/0.55 % (538593)Peak memory usage: 12 MB
% 2.79/0.55 % (538593)Instructions burned: 454 (million)
% 2.79/0.55 % (538627)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 2.79/0.55 % (538627)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2942686158:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/373Mi)
% 2.79/0.55 % (538628)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=729857460:i=116:ep=RSTC:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/116Mi)
% 2.79/0.55 % (538618)Instruction limit reached!
% 2.79/0.57 % (538618)------------------------------
% 2.79/0.57 % (538618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.57 % (538618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.57 % (538618)CaDiCaL version: 2.1.3
% 2.79/0.57 % (538618)Termination reason: Instruction limit
% 2.79/0.57 % (538618)Termination phase: Saturation
% 2.79/0.57 % (538618)Time elapsed: 0.032 s
% 2.79/0.57 % (538618)Peak memory usage: 13 MB
% 2.79/0.57 % (538618)Instructions burned: 141 (million)
% 2.79/0.57 % (538528)Instruction limit reached!
% 2.79/0.57 % (538528)------------------------------
% 2.79/0.57 % (538528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.57 % (538528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.57 % (538528)CaDiCaL version: 2.1.3
% 2.79/0.57 % (538528)Termination reason: Instruction limit
% 2.79/0.57 % (538528)Termination phase: Saturation
% 2.79/0.57 % (538528)Time elapsed: 0.246 s
% 2.79/0.57 % (538528)Peak memory usage: 13 MB
% 2.79/0.57 % (538528)Instructions burned: 1242 (million)
% 2.79/0.57 % (538631)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1448562287:i=575:rtra=on_2996 on theBenchmark for (2996ds/575Mi)
% 2.79/0.57 % (538631)Refutation not found, incomplete strategy
% 2.79/0.57 % (538631)------------------------------
% 2.79/0.57 % (538631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.57 % (538631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.57 % (538631)CaDiCaL version: 2.1.3
% 2.79/0.57 % (538631)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.57 % (538631)Time elapsed: 0.001 s
% 2.79/0.57 % (538631)Peak memory usage: 12 MB
% 2.79/0.57 % (538631)Instructions burned: 2 (million)
% 2.79/0.57 % (538631)------------------------------
% 2.79/0.57 % (538631)------------------------------
% 2.79/0.57 % (538632)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2557081262:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2996 on theBenchmark for (2996ds/270Mi)
% 2.79/0.57 % (538628)Instruction limit reached!
% 2.79/0.57 % (538628)------------------------------
% 2.79/0.57 % (538628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.57 % (538628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.57 % (538628)CaDiCaL version: 2.1.3
% 2.79/0.57 % (538628)Termination reason: Instruction limit
% 2.79/0.57 % (538628)Termination phase: Saturation
% 2.79/0.57 % (538628)Time elapsed: 0.025 s
% 2.79/0.57 % (538628)Peak memory usage: 12 MB
% 2.79/0.57 % (538628)Instructions burned: 117 (million)
% 2.79/0.57 % (538634)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=3036351166:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2996 on theBenchmark for (2996ds/9840Mi)
% 2.79/0.57 % (538636)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1459236657:i=421:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/421Mi)
% 2.79/0.57 % (538636)Refutation not found, incomplete strategy
% 2.79/0.57 % (538636)------------------------------
% 2.79/0.57 % (538636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.57 % (538636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.57 % (538636)CaDiCaL version: 2.1.3
% 2.79/0.57 % (538636)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.57 % (538636)Time elapsed: 0.0000 s
% 2.79/0.57 % (538636)Peak memory usage: 11 MB
% 2.79/0.57 % (538636)Instructions burned: 1 (million)
% 2.79/0.57 % (538636)------------------------------
% 2.79/0.57 % (538636)------------------------------
% 2.79/0.57 % (538639)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.79/0.57 % (538639)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=1741407299:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/270Mi)
% 2.79/0.57 % (538615)Instruction limit reached!
% 2.79/0.57 % (538615)------------------------------
% 2.79/0.57 % (538615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.58 % (538615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.58 % (538615)CaDiCaL version: 2.1.3
% 2.79/0.58 % (538615)Termination reason: Instruction limit
% 2.79/0.58 % (538615)Termination phase: Saturation
% 2.79/0.58 % (538615)Time elapsed: 0.080 s
% 2.79/0.58 % (538615)Peak memory usage: 14 MB
% 2.79/0.58 % (538615)Instructions burned: 341 (million)
% 2.79/0.58 % (538641)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2115024715:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.79/0.58 % (538606)Instruction limit reached!
% 2.79/0.58 % (538606)------------------------------
% 2.79/0.58 % (538606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.58 % (538606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.58 % (538606)CaDiCaL version: 2.1.3
% 2.79/0.58 % (538606)Termination reason: Instruction limit
% 2.79/0.58 % (538606)Termination phase: Saturation
% 2.79/0.58 % (538606)Time elapsed: 0.117 s
% 2.79/0.58 % (538606)Peak memory usage: 13 MB
% 2.79/0.58 % (538606)Instructions burned: 497 (million)
% 2.79/0.58 % (538622)Instruction limit reached!
% 2.79/0.58 % (538622)------------------------------
% 2.79/0.58 % (538622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.58 % (538622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.58 % (538622)CaDiCaL version: 2.1.3
% 2.79/0.58 % (538622)Termination reason: Instruction limit
% 2.79/0.58 % (538622)Termination phase: Saturation
% 2.79/0.58 % (538622)Time elapsed: 0.079 s
% 2.79/0.58 % (538622)Peak memory usage: 13 MB
% 2.79/0.58 % (538622)Instructions burned: 341 (million)
% 2.79/0.58 % (538643)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 2.79/0.58 % (538643)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
% 2.79/0.58 % (538641)Instruction limit reached!
% 2.79/0.58 % (538641)------------------------------
% 2.79/0.58 % (538641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.58 % (538641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.58 % (538641)CaDiCaL version: 2.1.3
% 2.79/0.58 % (538641)Termination reason: Instruction limit
% 2.79/0.58 % (538641)Termination phase: Saturation
% 2.79/0.58 % (538641)Time elapsed: 0.009 s
% 2.79/0.58 % (538641)Peak memory usage: 12 MB
% 2.79/0.58 % (538641)Instructions burned: 34 (million)
% 2.79/0.58 % (538643)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=2791015180:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2996 on theBenchmark for (2996ds/1440Mi)
% 2.79/0.58 % (538644)dis+10_2_sil=128000:si=on:random_seed=3014000803:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2996 on theBenchmark for (2996ds/339Mi)
% 2.79/0.58 % (538644)Refutation not found, incomplete strategy
% 2.79/0.58 % (538644)------------------------------
% 2.79/0.58 % (538644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.58 % (538644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.58 % (538644)CaDiCaL version: 2.1.3
% 2.79/0.58 % (538644)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.58 % (538644)Time elapsed: 0.0000 s
% 2.79/0.58 % (538644)Peak memory usage: 11 MB
% 2.79/0.58 % (538644)Instructions burned: 1 (million)
% 2.79/0.58 % (538644)------------------------------
% 2.79/0.58 % (538644)------------------------------
% 2.79/0.58 % (538645)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3934359910:i=111:add=on:fgj=on:rtra=on:fdi=1024_2995 on theBenchmark for (2995ds/111Mi)
% 2.79/0.58 % (538648)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=801966832:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/122Mi)
% 2.79/0.58 % (538648)Refutation not found, incomplete strategy
% 2.79/0.58 % (538648)------------------------------
% 2.79/0.58 % (538648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.58 % (538648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538648)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538648)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.65 % (538648)Time elapsed: 0.0000 s
% 3.15/0.65 % (538648)Peak memory usage: 11 MB
% 3.15/0.65 % (538648)Instructions burned: 1 (million)
% 3.15/0.65 % (538648)------------------------------
% 3.15/0.65 % (538648)------------------------------
% 3.15/0.65 % (538632)Instruction limit reached!
% 3.15/0.65 % (538632)------------------------------
% 3.15/0.65 % (538632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.65 % (538632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538632)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538632)Termination reason: Instruction limit
% 3.15/0.65 % (538632)Termination phase: Saturation
% 3.15/0.65 % (538632)Time elapsed: 0.061 s
% 3.15/0.65 % (538632)Peak memory usage: 12 MB
% 3.15/0.65 % (538632)Instructions burned: 271 (million)
% 3.15/0.65 % (538627)Instruction limit reached!
% 3.15/0.65 % (538627)------------------------------
% 3.15/0.65 % (538627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.65 % (538627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538627)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538627)Termination reason: Instruction limit
% 3.15/0.65 % (538627)Termination phase: Saturation
% 3.15/0.65 % (538627)Time elapsed: 0.094 s
% 3.15/0.65 % (538627)Peak memory usage: 12 MB
% 3.15/0.65 % (538627)Instructions burned: 373 (million)
% 3.15/0.65 % (538651)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=3110052040:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/136Mi)
% 3.15/0.65 % (538652)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3303039177:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/232Mi)
% 3.15/0.65 % (538651)Refutation not found, incomplete strategy
% 3.15/0.65 % (538651)------------------------------
% 3.15/0.65 % (538651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.65 % (538651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538651)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538651)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.65 % (538651)Time elapsed: 0.001 s
% 3.15/0.65 % (538651)Peak memory usage: 12 MB
% 3.15/0.65 % (538651)Instructions burned: 2 (million)
% 3.15/0.65 % (538652)Refutation not found, incomplete strategy
% 3.15/0.65 % (538652)------------------------------
% 3.15/0.65 % (538652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.65 % (538652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538652)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538652)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.65 % (538652)Time elapsed: 0.0000 s
% 3.15/0.65 % (538652)Peak memory usage: 11 MB
% 3.15/0.65 % (538652)Instructions burned: 1 (million)
% 3.15/0.65 % (538651)------------------------------
% 3.15/0.65 % (538651)------------------------------
% 3.15/0.65 % (538652)------------------------------
% 3.15/0.65 % (538652)------------------------------
% 3.15/0.65 % (538653)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=2576830114:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/1254Mi)
% 3.15/0.65 % (538653)Refutation not found, incomplete strategy
% 3.15/0.65 % (538653)------------------------------
% 3.15/0.65 % (538653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.65 % (538653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538653)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538653)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.65 % (538653)Time elapsed: 0.001 s
% 3.15/0.65 % (538653)Peak memory usage: 11 MB
% 3.15/0.65 % (538653)Instructions burned: 3 (million)
% 3.15/0.65 % (538653)------------------------------
% 3.15/0.65 % (538653)------------------------------
% 3.15/0.65 % (538639)Instruction limit reached!
% 3.15/0.65 % (538639)------------------------------
% 3.15/0.65 % (538639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.65 % (538639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.65 % (538639)CaDiCaL version: 2.1.3
% 3.15/0.65 % (538639)Termination reason: Instruction limit
% 3.15/0.69 % (538639)Termination phase: Saturation
% 3.15/0.69 % (538639)Time elapsed: 0.058 s
% 3.15/0.69 % (538639)Peak memory usage: 12 MB
% 3.15/0.69 % (538639)Instructions burned: 275 (million)
% 3.15/0.69 % (538656)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 3.15/0.69 % (538645)Instruction limit reached!
% 3.15/0.69 % (538645)------------------------------
% 3.15/0.69 % (538645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.69 % (538645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.69 % (538645)CaDiCaL version: 2.1.3
% 3.15/0.69 % (538645)Termination reason: Instruction limit
% 3.15/0.69 % (538645)Termination phase: Saturation
% 3.15/0.69 % (538645)Time elapsed: 0.027 s
% 3.15/0.69 % (538645)Peak memory usage: 12 MB
% 3.15/0.69 % (538645)Instructions burned: 113 (million)
% 3.15/0.69 % (538656)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=1814286838:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2995 on theBenchmark for (2995ds/281Mi)
% 3.15/0.69 % (538657)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=712014160:i=619:add=on:rtra=on_2995 on theBenchmark for (2995ds/619Mi)
% 3.15/0.69 % (538657)Refutation not found, incomplete strategy
% 3.15/0.69 % (538657)------------------------------
% 3.15/0.69 % (538657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.69 % (538657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.69 % (538657)CaDiCaL version: 2.1.3
% 3.15/0.69 % (538657)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.69 % (538657)Time elapsed: 0.001 s
% 3.15/0.69 % (538657)Peak memory usage: 12 MB
% 3.15/0.69 % (538657)Instructions burned: 3 (million)
% 3.15/0.69 % (538657)------------------------------
% 3.15/0.69 % (538657)------------------------------
% 3.15/0.69 % (538659)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=4226453952:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/865Mi)
% 3.15/0.69 % (538660)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1839480091:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/212Mi)
% 3.15/0.69 % (538660)Refutation not found, incomplete strategy
% 3.15/0.69 % (538660)------------------------------
% 3.15/0.69 % (538660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.69 % (538660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.69 % (538660)CaDiCaL version: 2.1.3
% 3.15/0.69 % (538660)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.69 % (538660)Time elapsed: 0.0000 s
% 3.15/0.69 % (538660)Peak memory usage: 11 MB
% 3.15/0.69 % (538660)Instructions burned: 1 (million)
% 3.15/0.69 % (538661)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3249628337:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.15/0.69 % (538660)------------------------------
% 3.15/0.69 % (538660)------------------------------
% 3.15/0.69 % (538661)Refutation not found, incomplete strategy
% 3.15/0.69 % (538661)------------------------------
% 3.15/0.69 % (538661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.69 % (538661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.69 % (538661)CaDiCaL version: 2.1.3
% 3.15/0.69 % (538661)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.69 % (538661)Time elapsed: 0.0000 s
% 3.15/0.69 % (538661)Peak memory usage: 11 MB
% 3.15/0.69 % (538661)Instructions burned: 1 (million)
% 3.15/0.69 % (538661)------------------------------
% 3.15/0.69 % (538661)------------------------------
% 3.15/0.69 % (538664)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1515394729:st=1.5:i=346:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/346Mi)
% 3.15/0.69 % (538664)Refutation not found, incomplete strategy
% 3.15/0.69 % (538664)------------------------------
% 3.15/0.69 % (538664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.69 % (538664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.69 % (538664)CaDiCaL version: 2.1.3
% 3.15/0.69 % (538664)Termination reason: Refutation not found, incomplete strategy
% 4.17/0.80 % (538664)Time elapsed: 0.0000 s
% 4.17/0.80 % (538664)Peak memory usage: 11 MB
% 4.17/0.80 % (538664)Instructions burned: 1 (million)
% 4.17/0.80 % (538664)------------------------------
% 4.17/0.80 % (538664)------------------------------
% 4.17/0.80 % (538668)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1982263235:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/152Mi)
% 4.17/0.80 % (538669)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2681584288:i=75:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/75Mi)
% 4.17/0.80 % (538671)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2872185461:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/387Mi)
% 4.17/0.80 % (538671)Refutation not found, incomplete strategy
% 4.17/0.80 % (538671)------------------------------
% 4.17/0.80 % (538671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.80 % (538671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.80 % (538671)CaDiCaL version: 2.1.3
% 4.17/0.80 % (538671)Termination reason: Refutation not found, incomplete strategy
% 4.17/0.80 % (538671)Time elapsed: 0.0000 s
% 4.17/0.80 % (538671)Peak memory usage: 11 MB
% 4.17/0.80 % (538671)Instructions burned: 1 (million)
% 4.17/0.80 % (538671)------------------------------
% 4.17/0.80 % (538671)------------------------------
% 4.17/0.80 % (538675)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=604741535:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2995 on theBenchmark for (2995ds/148Mi)
% 4.17/0.80 % (538669)Instruction limit reached!
% 4.17/0.80 % (538669)------------------------------
% 4.17/0.80 % (538669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.80 % (538669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.80 % (538669)CaDiCaL version: 2.1.3
% 4.17/0.80 % (538669)Termination reason: Instruction limit
% 4.17/0.80 % (538669)Termination phase: Saturation
% 4.17/0.80 % (538669)Time elapsed: 0.019 s
% 4.17/0.80 % (538669)Peak memory usage: 12 MB
% 4.17/0.80 % (538669)Instructions burned: 78 (million)
% 4.17/0.80 % (538677)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3519402781:i=161:piset=and:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/161Mi)
% 4.17/0.80 % (538668)Instruction limit reached!
% 4.17/0.80 % (538668)------------------------------
% 4.17/0.80 % (538668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.80 % (538668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.80 % (538668)CaDiCaL version: 2.1.3
% 4.17/0.80 % (538668)Termination reason: Instruction limit
% 4.17/0.80 % (538668)Termination phase: Saturation
% 4.17/0.80 % (538668)Time elapsed: 0.039 s
% 4.17/0.80 % (538668)Peak memory usage: 12 MB
% 4.17/0.80 % (538668)Instructions burned: 155 (million)
% 4.17/0.80 % (538679)lrs+10_1_sil=128000:si=on:random_seed=3656469168:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/888Mi)
% 4.17/0.80 % (538679)Refutation not found, incomplete strategy
% 4.17/0.80 % (538679)------------------------------
% 4.17/0.80 % (538679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.80 % (538679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.80 % (538679)CaDiCaL version: 2.1.3
% 4.17/0.80 % (538679)Termination reason: Refutation not found, incomplete strategy
% 4.17/0.80 % (538679)Time elapsed: 0.0000 s
% 4.17/0.80 % (538679)Peak memory usage: 11 MB
% 4.17/0.80 % (538679)Instructions burned: 1 (million)
% 4.17/0.80 % (538679)------------------------------
% 4.17/0.80 % (538679)------------------------------
% 4.17/0.80 % (538675)Instruction limit reached!
% 4.17/0.80 % (538675)------------------------------
% 4.17/0.80 % (538675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.80 % (538675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.80 % (538675)CaDiCaL version: 2.1.3
% 4.17/0.80 % (538675)Termination reason: Instruction limit
% 4.17/0.80 % (538675)Termination phase: Saturation
% 4.17/0.80 % (538675)Time elapsed: 0.037 s
% 4.17/0.80 % (538675)Peak memory usage: 12 MB
% 4.17/0.80 % (538675)Instructions burned: 149 (million)
% 4.17/0.80 % (538656)Instruction limit reached!
% 4.17/0.80 % (538656)------------------------------
% 4.17/0.80 % (538656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.88 % (538656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.88 % (538656)CaDiCaL version: 2.1.3
% 4.17/0.88 % (538656)Termination reason: Instruction limit
% 4.17/0.88 % (538656)Termination phase: Saturation
% 4.17/0.88 % (538656)Time elapsed: 0.077 s
% 4.17/0.88 % (538656)Peak memory usage: 13 MB
% 4.17/0.88 % (538656)Instructions burned: 283 (million)
% 4.17/0.88 % (538681)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=428982636:i=136:add=on:ins=4:rtra=on:sup=off_2994 on theBenchmark for (2994ds/136Mi)
% 4.17/0.88 % (538677)Instruction limit reached!
% 4.17/0.88 % (538677)------------------------------
% 4.17/0.88 % (538677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.88 % (538677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.88 % (538677)CaDiCaL version: 2.1.3
% 4.17/0.88 % (538677)Termination reason: Instruction limit
% 4.17/0.88 % (538677)Termination phase: Saturation
% 4.17/0.88 % (538677)Time elapsed: 0.030 s
% 4.17/0.88 % (538677)Peak memory usage: 12 MB
% 4.17/0.88 % (538677)Instructions burned: 165 (million)
% 4.17/0.88 % (538681)Refutation not found, incomplete strategy
% 4.17/0.88 % (538681)------------------------------
% 4.17/0.88 % (538681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.88 % (538681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.88 % (538681)CaDiCaL version: 2.1.3
% 4.17/0.88 % (538681)Termination reason: Refutation not found, incomplete strategy
% 4.17/0.88 % (538681)Time elapsed: 0.001 s
% 4.17/0.88 % (538681)Peak memory usage: 12 MB
% 4.17/0.88 % (538681)Instructions burned: 3 (million)
% 4.17/0.88 % (538681)------------------------------
% 4.17/0.88 % (538681)------------------------------
% 4.17/0.88 % (538682)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=3005402175:i=88:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/88Mi)
% 4.17/0.88 % (538683)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2305590074:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2994 on theBenchmark for (2994ds/93Mi)
% 4.17/0.88 % (538685)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2583641613:i=2186:rtra=on:ixr=off_2994 on theBenchmark for (2994ds/2186Mi)
% 4.17/0.88 % (538686)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=150607728:s2a=on:i=240:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/240Mi)
% 4.17/0.88 % (538682)Instruction limit reached!
% 4.17/0.88 % (538682)------------------------------
% 4.17/0.88 % (538682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.88 % (538682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.88 % (538682)CaDiCaL version: 2.1.3
% 4.17/0.88 % (538682)Termination reason: Instruction limit
% 4.17/0.88 % (538682)Termination phase: Saturation
% 4.17/0.88 % (538682)Time elapsed: 0.021 s
% 4.17/0.88 % (538682)Peak memory usage: 12 MB
% 4.17/0.88 % (538682)Instructions burned: 90 (million)
% 4.17/0.88 % (538683)Instruction limit reached!
% 4.17/0.88 % (538683)------------------------------
% 4.17/0.88 % (538683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.88 % (538683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.88 % (538683)CaDiCaL version: 2.1.3
% 4.17/0.88 % (538683)Termination reason: Instruction limit
% 4.17/0.88 % (538683)Termination phase: Saturation
% 4.17/0.88 % (538683)Time elapsed: 0.026 s
% 4.17/0.88 % (538683)Peak memory usage: 12 MB
% 4.17/0.88 % (538683)Instructions burned: 94 (million)
% 4.17/0.88 % (538691)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=680247234:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/805Mi)
% 4.17/0.88 % (538692)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 4.17/0.88 % (538692)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=390697915:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2994 on theBenchmark for (2994ds/391Mi)
% 4.86/0.95 % (538692)Refutation not found, incomplete strategy
% 4.86/0.95 % (538692)------------------------------
% 4.86/0.95 % (538692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/0.95 % (538692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/0.95 % (538692)CaDiCaL version: 2.1.3
% 4.86/0.95 % (538692)Termination reason: Refutation not found, incomplete strategy
% 4.86/0.95 % (538692)Time elapsed: 0.0000 s
% 4.86/0.95 % (538692)Peak memory usage: 11 MB
% 4.86/0.95 % (538692)Instructions burned: 1 (million)
% 4.86/0.95 % (538692)------------------------------
% 4.86/0.95 % (538692)------------------------------
% 4.86/0.95 % (538695)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1314352877:i=355:av=off:fsr=off:rtra=on:ixr=off_2994 on theBenchmark for (2994ds/355Mi)
% 4.86/0.95 % (538686)Instruction limit reached!
% 4.86/0.95 % (538686)------------------------------
% 4.86/0.95 % (538686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/0.95 % (538686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/0.95 % (538686)CaDiCaL version: 2.1.3
% 4.86/0.95 % (538686)Termination reason: Instruction limit
% 4.86/0.95 % (538686)Termination phase: Saturation
% 4.86/0.95 % (538686)Time elapsed: 0.050 s
% 4.86/0.95 % (538686)Peak memory usage: 13 MB
% 4.86/0.95 % (538686)Instructions burned: 243 (million)
% 4.86/0.95 % (538697)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2442606089:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/314Mi)
% 4.86/0.95 % (538697)Refutation not found, incomplete strategy
% 4.86/0.95 % (538697)------------------------------
% 4.86/0.95 % (538697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/0.95 % (538697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/0.95 % (538697)CaDiCaL version: 2.1.3
% 4.86/0.95 % (538697)Termination reason: Refutation not found, incomplete strategy
% 4.86/0.95 % (538697)Time elapsed: 0.0000 s
% 4.86/0.95 % (538697)Peak memory usage: 11 MB
% 4.86/0.95 % (538697)Instructions burned: 1 (million)
% 4.86/0.95 % (538697)------------------------------
% 4.86/0.95 % (538697)------------------------------
% 4.86/0.95 % (538699)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2355604124:s2a=on:i=251:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/251Mi)
% 4.86/0.95 % (538643)Instruction limit reached!
% 4.86/0.95 % (538643)------------------------------
% 4.86/0.95 % (538643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/0.95 % (538643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/0.95 % (538643)CaDiCaL version: 2.1.3
% 4.86/0.95 % (538643)Termination reason: Instruction limit
% 4.86/0.95 % (538643)Termination phase: Saturation
% 4.86/0.95 % (538643)Time elapsed: 0.253 s
% 4.86/0.95 % (538643)Peak memory usage: 13 MB
% 4.86/0.95 % (538643)Instructions burned: 1441 (million)
% 4.86/0.95 % (538695)Instruction limit reached!
% 4.86/0.95 % (538695)------------------------------
% 4.86/0.95 % (538695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/0.95 % (538695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/0.95 % (538695)CaDiCaL version: 2.1.3
% 4.86/0.95 % (538695)Termination reason: Instruction limit
% 4.86/0.95 % (538695)Termination phase: Saturation
% 4.86/0.95 % (538695)Time elapsed: 0.082 s
% 4.86/0.95 % (538695)Peak memory usage: 12 MB
% 4.86/0.95 % (538695)Instructions burned: 356 (million)
% 4.86/0.95 % (538699)Instruction limit reached!
% 4.86/0.95 % (538699)------------------------------
% 4.86/0.95 % (538699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/0.95 % (538699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/0.95 % (538699)CaDiCaL version: 2.1.3
% 4.86/0.95 % (538699)Termination reason: Instruction limit
% 4.86/0.95 % (538699)Termination phase: Saturation
% 4.86/0.95 % (538699)Time elapsed: 0.060 s
% 4.86/0.95 % (538699)Peak memory usage: 12 MB
% 4.86/0.95 % (538699)Instructions burned: 253 (million)
% 4.86/0.95 % (538701)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=1123923212:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/2470Mi)
% 4.86/0.95 % (538702)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1521406204:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2993 on theBenchmark for (2993ds/673Mi)
% 6.17/1.03 % (538703)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3022433131:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 6.17/1.03 % (538659)Instruction limit reached!
% 6.17/1.03 % (538659)------------------------------
% 6.17/1.03 % (538659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.03 % (538659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.03 % (538659)CaDiCaL version: 2.1.3
% 6.17/1.03 % (538659)Termination reason: Instruction limit
% 6.17/1.03 % (538659)Termination phase: Saturation
% 6.17/1.03 % (538659)Time elapsed: 0.239 s
% 6.17/1.03 % (538659)Peak memory usage: 15 MB
% 6.17/1.03 % (538659)Instructions burned: 867 (million)
% 6.17/1.03 % (538707)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3682038090: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)
% 6.17/1.03 % (538703)Instruction limit reached!
% 6.17/1.03 % (538703)------------------------------
% 6.17/1.03 % (538703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.03 % (538703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.03 % (538703)CaDiCaL version: 2.1.3
% 6.17/1.03 % (538703)Termination reason: Instruction limit
% 6.17/1.03 % (538703)Termination phase: Saturation
% 6.17/1.03 % (538703)Time elapsed: 0.026 s
% 6.17/1.03 % (538703)Peak memory usage: 12 MB
% 6.17/1.03 % (538703)Instructions burned: 118 (million)
% 6.17/1.03 % (538709)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=1373486173:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/30Mi)
% 6.17/1.03 % (538709)Instruction limit reached!
% 6.17/1.03 % (538709)------------------------------
% 6.17/1.03 % (538709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.03 % (538709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.03 % (538709)CaDiCaL version: 2.1.3
% 6.17/1.03 % (538709)Termination reason: Instruction limit
% 6.17/1.03 % (538709)Termination phase: Saturation
% 6.17/1.03 % (538709)Time elapsed: 0.009 s
% 6.17/1.03 % (538709)Peak memory usage: 12 MB
% 6.17/1.03 % (538709)Instructions burned: 30 (million)
% 6.17/1.03 % (538691)Instruction limit reached!
% 6.17/1.03 % (538691)------------------------------
% 6.17/1.03 % (538691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.03 % (538691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.03 % (538691)CaDiCaL version: 2.1.3
% 6.17/1.03 % (538691)Termination reason: Instruction limit
% 6.17/1.03 % (538691)Termination phase: Saturation
% 6.17/1.03 % (538691)Time elapsed: 0.169 s
% 6.17/1.03 % (538691)Peak memory usage: 13 MB
% 6.17/1.03 % (538691)Instructions burned: 810 (million)
% 6.17/1.03 % (538711)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 6.17/1.03 % (538711)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1436411572:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2992 on theBenchmark for (2992ds/39Mi)
% 6.17/1.03 % (538712)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3681965342:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/365Mi)
% 6.17/1.03 % (538711)Instruction limit reached!
% 6.17/1.03 % (538711)------------------------------
% 6.17/1.03 % (538711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.03 % (538711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.03 % (538711)CaDiCaL version: 2.1.3
% 6.17/1.03 % (538711)Termination reason: Instruction limit
% 6.17/1.03 % (538711)Termination phase: Saturation
% 6.17/1.03 % (538711)Time elapsed: 0.011 s
% 6.17/1.03 % (538711)Peak memory usage: 12 MB
% 6.17/1.03 % (538711)Instructions burned: 42 (million)
% 6.17/1.03 % (538715)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1737204129:i=158:av=off:rtra=on_2992 on theBenchmark for (2992ds/158Mi)
% 6.17/1.08 % (538707)Instruction limit reached!
% 6.17/1.08 % (538707)------------------------------
% 6.17/1.08 % (538707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.08 % (538707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.08 % (538707)CaDiCaL version: 2.1.3
% 6.17/1.08 % (538707)Termination reason: Instruction limit
% 6.17/1.08 % (538707)Termination phase: Saturation
% 6.17/1.08 % (538707)Time elapsed: 0.062 s
% 6.17/1.08 % (538707)Peak memory usage: 12 MB
% 6.17/1.08 % (538707)Instructions burned: 272 (million)
% 6.17/1.08 % (538717)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.17/1.08 % (538717)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=2030137558:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/252Mi)
% 6.17/1.08 % (538715)Instruction limit reached!
% 6.17/1.08 % (538715)------------------------------
% 6.17/1.08 % (538715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.08 % (538715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.08 % (538715)CaDiCaL version: 2.1.3
% 6.17/1.08 % (538715)Termination reason: Instruction limit
% 6.17/1.08 % (538715)Termination phase: Saturation
% 6.17/1.08 % (538715)Time elapsed: 0.040 s
% 6.17/1.08 % (538715)Peak memory usage: 12 MB
% 6.17/1.08 % (538715)Instructions burned: 161 (million)
% 6.17/1.08 % (538719)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3266309884:i=213:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/213Mi)
% 6.17/1.08 % (538719)Refutation not found, incomplete strategy
% 6.17/1.08 % (538719)------------------------------
% 6.17/1.08 % (538719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.08 % (538719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.08 % (538719)CaDiCaL version: 2.1.3
% 6.17/1.08 % (538719)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.08 % (538719)Time elapsed: 0.0000 s
% 6.17/1.08 % (538719)Peak memory usage: 11 MB
% 6.17/1.08 % (538719)Instructions burned: 1 (million)
% 6.17/1.08 % (538719)------------------------------
% 6.17/1.08 % (538719)------------------------------
% 6.17/1.08 % (538702)Instruction limit reached!
% 6.17/1.08 % (538702)------------------------------
% 6.17/1.08 % (538702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.08 % (538702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.08 % (538702)CaDiCaL version: 2.1.3
% 6.17/1.08 % (538702)Termination reason: Instruction limit
% 6.17/1.08 % (538702)Termination phase: Saturation
% 6.17/1.08 % (538702)Time elapsed: 0.138 s
% 6.17/1.08 % (538702)Peak memory usage: 13 MB
% 6.17/1.08 % (538702)Instructions burned: 675 (million)
% 6.17/1.08 % (538712)Instruction limit reached!
% 6.17/1.08 % (538712)------------------------------
% 6.17/1.08 % (538712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.08 % (538712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.08 % (538712)CaDiCaL version: 2.1.3
% 6.17/1.08 % (538712)Termination reason: Instruction limit
% 6.17/1.08 % (538712)Termination phase: Saturation
% 6.17/1.08 % (538712)Time elapsed: 0.073 s
% 6.17/1.08 % (538712)Peak memory usage: 13 MB
% 6.17/1.08 % (538712)Instructions burned: 370 (million)
% 6.17/1.08 % (538721)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=1613903164:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/160Mi)
% 6.17/1.08 % (538721)Refutation not found, incomplete strategy
% 6.17/1.08 % (538721)------------------------------
% 6.17/1.08 % (538721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.08 % (538721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.08 % (538721)CaDiCaL version: 2.1.3
% 6.17/1.08 % (538721)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.08 % (538721)Time elapsed: 0.0000 s
% 6.17/1.08 % (538721)Peak memory usage: 11 MB
% 6.17/1.08 % (538721)Instructions burned: 1 (million)
% 6.17/1.08 % (538721)------------------------------
% 6.17/1.08 % (538721)------------------------------
% 6.17/1.08 % (538723)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 6.17/1.11 % (538722)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=332248666:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/763Mi)
% 6.17/1.11 % (538723)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=2855368471:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2991 on theBenchmark for (2991ds/237Mi)
% 6.17/1.11 % (538717)Instruction limit reached!
% 6.17/1.11 % (538717)------------------------------
% 6.17/1.11 % (538717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.11 % (538717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.11 % (538717)CaDiCaL version: 2.1.3
% 6.17/1.11 % (538717)Termination reason: Instruction limit
% 6.17/1.11 % (538717)Termination phase: Saturation
% 6.17/1.11 % (538717)Time elapsed: 0.054 s
% 6.17/1.11 % (538717)Peak memory usage: 12 MB
% 6.17/1.11 % (538717)Instructions burned: 255 (million)
% 6.17/1.11 % (538723)Refutation not found, incomplete strategy
% 6.17/1.11 % (538723)------------------------------
% 6.17/1.11 % (538723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.11 % (538723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.11 % (538723)CaDiCaL version: 2.1.3
% 6.17/1.11 % (538723)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.11 % (538723)Time elapsed: 0.0000 s
% 6.17/1.11 % (538723)Peak memory usage: 11 MB
% 6.17/1.11 % (538723)------------------------------
% 6.17/1.11 % (538723)------------------------------
% 6.17/1.11 % (538725)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2987745734:s2a=on:i=386:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/386Mi)
% 6.17/1.11 % (538728)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=857179557:i=300:piset=and:nm=32:rtra=on_2991 on theBenchmark for (2991ds/300Mi)
% 6.17/1.11 % (538729)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3887153331:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/567Mi)
% 6.17/1.11 % (538729)Refutation not found, incomplete strategy
% 6.17/1.11 % (538729)------------------------------
% 6.17/1.11 % (538729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.11 % (538729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.11 % (538729)CaDiCaL version: 2.1.3
% 6.17/1.11 % (538729)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.11 % (538729)Time elapsed: 0.0000 s
% 6.17/1.11 % (538729)Peak memory usage: 11 MB
% 6.17/1.11 % (538729)Instructions burned: 1 (million)
% 6.17/1.11 % (538729)------------------------------
% 6.17/1.11 % (538729)------------------------------
% 6.17/1.11 % (538733)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=992535001:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2991 on theBenchmark for (2991ds/379Mi)
% 6.17/1.11 % (538733)Refutation not found, incomplete strategy
% 6.17/1.11 % (538733)------------------------------
% 6.17/1.11 % (538733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.11 % (538733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.11 % (538733)CaDiCaL version: 2.1.3
% 6.17/1.11 % (538733)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.11 % (538733)Time elapsed: 0.0000 s
% 6.17/1.11 % (538733)Peak memory usage: 11 MB
% 6.17/1.11 % (538733)Instructions burned: 1 (million)
% 6.17/1.11 % (538733)------------------------------
% 6.17/1.11 % (538733)------------------------------
% 6.17/1.11 % (538735)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=4067462525:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2991 on theBenchmark for (2991ds/429Mi)
% 6.17/1.11 % (538728)Instruction limit reached!
% 6.17/1.11 % (538728)------------------------------
% 6.17/1.11 % (538728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.11 % (538728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.11 % (538728)CaDiCaL version: 2.1.3
% 6.17/1.11 % (538728)Termination reason: Instruction limit
% 6.17/1.11 % (538728)Termination phase: Saturation
% 6.17/1.11 % (538728)Time elapsed: 0.069 s
% 6.80/1.18 % (538728)Peak memory usage: 12 MB
% 6.80/1.18 % (538728)Instructions burned: 302 (million)
% 6.80/1.18 % (538737)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2126203571:i=478:bd=all:rtra=on_2990 on theBenchmark for (2990ds/478Mi)
% 6.80/1.18 % (538737)Refutation not found, incomplete strategy
% 6.80/1.18 % (538737)------------------------------
% 6.80/1.18 % (538737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.18 % (538737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.18 % (538737)CaDiCaL version: 2.1.3
% 6.80/1.18 % (538737)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.18 % (538737)Time elapsed: 0.001 s
% 6.80/1.18 % (538737)Peak memory usage: 12 MB
% 6.80/1.18 % (538737)Instructions burned: 2 (million)
% 6.80/1.18 % (538737)------------------------------
% 6.80/1.18 % (538737)------------------------------
% 6.80/1.18 % (538725)Instruction limit reached!
% 6.80/1.18 % (538725)------------------------------
% 6.80/1.18 % (538725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.18 % (538725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.18 % (538725)CaDiCaL version: 2.1.3
% 6.80/1.18 % (538725)Termination reason: Instruction limit
% 6.80/1.18 % (538725)Termination phase: Saturation
% 6.80/1.18 % (538725)Time elapsed: 0.089 s
% 6.80/1.18 % (538725)Peak memory usage: 12 MB
% 6.80/1.18 % (538725)Instructions burned: 386 (million)
% 6.80/1.18 % (538685)Instruction limit reached!
% 6.80/1.18 % (538685)------------------------------
% 6.80/1.18 % (538685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.18 % (538685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.18 % (538685)CaDiCaL version: 2.1.3
% 6.80/1.18 % (538685)Termination reason: Instruction limit
% 6.80/1.18 % (538685)Termination phase: Saturation
% 6.80/1.18 % (538685)Time elapsed: 0.392 s
% 6.80/1.18 % (538685)Peak memory usage: 13 MB
% 6.80/1.18 % (538685)Instructions burned: 2192 (million)
% 6.80/1.18 % (538739)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=992342325:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2990 on theBenchmark for (2990ds/445Mi)
% 6.80/1.18 % (538740)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2483326446:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/71Mi)
% 6.80/1.18 % (538742)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3692758864:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/302Mi)
% 6.80/1.18 % (538742)Refutation not found, incomplete strategy
% 6.80/1.18 % (538742)------------------------------
% 6.80/1.18 % (538742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.18 % (538742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.18 % (538742)CaDiCaL version: 2.1.3
% 6.80/1.18 % (538742)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.18 % (538742)Time elapsed: 0.0000 s
% 6.80/1.18 % (538742)Peak memory usage: 11 MB
% 6.80/1.18 % (538742)Instructions burned: 1 (million)
% 6.80/1.18 % (538742)------------------------------
% 6.80/1.18 % (538742)------------------------------
% 6.80/1.18 % (538745)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3741692814:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/4980Mi)
% 6.80/1.18 % (538745)Refutation not found, incomplete strategy
% 6.80/1.18 % (538745)------------------------------
% 6.80/1.18 % (538745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.18 % (538745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.18 % (538745)CaDiCaL version: 2.1.3
% 6.80/1.18 % (538745)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.18 % (538745)Time elapsed: 0.0000 s
% 6.80/1.18 % (538745)Peak memory usage: 11 MB
% 6.80/1.18 % (538745)Instructions burned: 1 (million)
% 6.80/1.18 % (538745)------------------------------
% 6.80/1.18 % (538745)------------------------------
% 6.80/1.18 % (538740)Instruction limit reached!
% 6.80/1.18 % (538740)------------------------------
% 6.80/1.18 % (538740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.18 % (538740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.18 % (538740)CaDiCaL version: 2.1.3
% 6.80/1.18 % (538740)Termination reason: Instruction limit
% 7.16/1.24 % (538740)Termination phase: Saturation
% 7.16/1.24 % (538740)Time elapsed: 0.020 s
% 7.16/1.24 % (538740)Peak memory usage: 12 MB
% 7.16/1.24 % (538740)Instructions burned: 71 (million)
% 7.16/1.24 % (538722)Instruction limit reached!
% 7.16/1.24 % (538722)------------------------------
% 7.16/1.24 % (538722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.24 % (538722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.24 % (538722)CaDiCaL version: 2.1.3
% 7.16/1.24 % (538722)Termination reason: Instruction limit
% 7.16/1.24 % (538722)Termination phase: Saturation
% 7.16/1.24 % (538722)Time elapsed: 0.133 s
% 7.16/1.24 % (538722)Peak memory usage: 14 MB
% 7.16/1.24 % (538722)Instructions burned: 765 (million)
% 7.16/1.24 % (538747)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.16/1.24 % (538747)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.16/1.24 % (538747)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4223350154:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2990 on theBenchmark for (2990ds/100Mi)
% 7.16/1.24 % (538748)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=1726739282:i=76:piset=equals:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/76Mi)
% 7.16/1.24 % (538735)Instruction limit reached!
% 7.16/1.24 % (538735)------------------------------
% 7.16/1.24 % (538735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.24 % (538735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.24 % (538735)CaDiCaL version: 2.1.3
% 7.16/1.24 % (538735)Termination reason: Instruction limit
% 7.16/1.24 % (538735)Termination phase: Saturation
% 7.16/1.24 % (538735)Time elapsed: 0.104 s
% 7.16/1.24 % (538735)Peak memory usage: 12 MB
% 7.16/1.24 % (538735)Instructions burned: 431 (million)
% 7.16/1.24 % (538749)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3991141217:i=289:rtra=on_2990 on theBenchmark for (2990ds/289Mi)
% 7.16/1.24 % (538749)Refutation not found, incomplete strategy
% 7.16/1.24 % (538749)------------------------------
% 7.16/1.24 % (538749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.24 % (538749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.24 % (538749)CaDiCaL version: 2.1.3
% 7.16/1.24 % (538749)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.24 % (538749)Time elapsed: 0.001 s
% 7.16/1.24 % (538749)Peak memory usage: 12 MB
% 7.16/1.24 % (538749)Instructions burned: 2 (million)
% 7.16/1.24 % (538749)------------------------------
% 7.16/1.24 % (538749)------------------------------
% 7.16/1.24 % (538752)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=1346614251:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2990 on theBenchmark for (2990ds/493Mi)
% 7.16/1.24 % (538754)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=2882383476:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 7.16/1.24 % (538748)Instruction limit reached!
% 7.16/1.24 % (538748)------------------------------
% 7.16/1.24 % (538748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.24 % (538748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.24 % (538748)CaDiCaL version: 2.1.3
% 7.16/1.24 % (538748)Termination reason: Instruction limit
% 7.16/1.24 % (538748)Termination phase: Saturation
% 7.16/1.24 % (538748)Time elapsed: 0.020 s
% 7.16/1.24 % (538748)Peak memory usage: 12 MB
% 7.16/1.24 % (538748)Instructions burned: 79 (million)
% 7.16/1.24 % (538747)Instruction limit reached!
% 7.16/1.24 % (538747)------------------------------
% 7.16/1.24 % (538747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.24 % (538747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.24 % (538747)CaDiCaL version: 2.1.3
% 7.16/1.24 % (538747)Termination reason: Instruction limit
% 7.16/1.24 % (538747)Termination phase: Saturation
% 7.16/1.28 % (538747)Time elapsed: 0.023 s
% 7.16/1.28 % (538747)Peak memory usage: 12 MB
% 7.16/1.28 % (538747)Instructions burned: 100 (million)
% 7.16/1.28 % (538754)Instruction limit reached!
% 7.16/1.28 % (538754)------------------------------
% 7.16/1.28 % (538754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.28 % (538754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.28 % (538754)CaDiCaL version: 2.1.3
% 7.16/1.28 % (538754)Termination reason: Instruction limit
% 7.16/1.28 % (538754)Termination phase: Saturation
% 7.16/1.28 % (538754)Time elapsed: 0.010 s
% 7.16/1.28 % (538754)Peak memory usage: 12 MB
% 7.16/1.28 % (538754)Instructions burned: 37 (million)
% 7.16/1.28 % (538757)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 7.16/1.28 % (538757)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=85844536:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2990 on theBenchmark for (2990ds/372Mi)
% 7.16/1.28 % (538757)Refutation not found, incomplete strategy
% 7.16/1.28 % (538757)------------------------------
% 7.16/1.28 % (538757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.28 % (538757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.28 % (538757)CaDiCaL version: 2.1.3
% 7.16/1.28 % (538757)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.28 % (538757)Time elapsed: 0.001 s
% 7.16/1.28 % (538757)Peak memory usage: 11 MB
% 7.16/1.28 % (538757)Instructions burned: 3 (million)
% 7.16/1.28 % (538757)------------------------------
% 7.16/1.28 % (538757)------------------------------
% 7.16/1.28 % (538758)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3075853385:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2990 on theBenchmark for (2990ds/670Mi)
% 7.16/1.28 % (538759)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3329940663:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/647Mi)
% 7.16/1.28 % (538759)Refutation not found, incomplete strategy
% 7.16/1.28 % (538759)------------------------------
% 7.16/1.28 % (538759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.28 % (538759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.28 % (538759)CaDiCaL version: 2.1.3
% 7.16/1.28 % (538759)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.28 % (538759)Time elapsed: 0.0000 s
% 7.16/1.28 % (538759)Peak memory usage: 11 MB
% 7.16/1.28 % (538759)Instructions burned: 1 (million)
% 7.16/1.28 % (538759)------------------------------
% 7.16/1.28 % (538759)------------------------------
% 7.16/1.28 % (538761)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=2519838305:i=857:add=off:kws=frequency:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/857Mi)
% 7.16/1.28 % (538764)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=3260204068:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2989 on theBenchmark for (2989ds/693Mi)
% 7.16/1.28 % (538739)Instruction limit reached!
% 7.16/1.28 % (538739)------------------------------
% 7.16/1.28 % (538739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.28 % (538739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.28 % (538739)CaDiCaL version: 2.1.3
% 7.16/1.28 % (538739)Termination reason: Instruction limit
% 7.16/1.28 % (538739)Termination phase: Saturation
% 7.16/1.28 % (538739)Time elapsed: 0.120 s
% 7.16/1.28 % (538739)Peak memory usage: 14 MB
% 7.16/1.28 % (538739)Instructions burned: 447 (million)
% 7.16/1.28 % (538767)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3250221512:i=285:hud=10:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/285Mi)
% 7.16/1.28 % (538767)Refutation not found, incomplete strategy
% 7.16/1.28 % (538767)------------------------------
% 7.16/1.28 % (538767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.28 % (538767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.28 % (538767)CaDiCaL version: 2.1.3
% 7.89/1.33 % (538767)Termination reason: Refutation not found, incomplete strategy
% 7.89/1.33 % (538767)Time elapsed: 0.0000 s
% 7.89/1.33 % (538767)Peak memory usage: 11 MB
% 7.89/1.33 % (538767)Instructions burned: 1 (million)
% 7.89/1.33 % (538767)------------------------------
% 7.89/1.33 % (538767)------------------------------
% 7.89/1.33 % (538769)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 7.89/1.33 % (538769)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=2187105127:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/52Mi)
% 7.89/1.33 % (538769)Instruction limit reached!
% 7.89/1.33 % (538769)------------------------------
% 7.89/1.33 % (538769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/1.33 % (538769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.33 % (538769)CaDiCaL version: 2.1.3
% 7.89/1.33 % (538769)Termination reason: Instruction limit
% 7.89/1.33 % (538769)Termination phase: Saturation
% 7.89/1.33 % (538769)Time elapsed: 0.010 s
% 7.89/1.33 % (538769)Peak memory usage: 12 MB
% 7.89/1.33 % (538769)Instructions burned: 57 (million)
% 7.89/1.33 % (538752)Instruction limit reached!
% 7.89/1.33 % (538752)------------------------------
% 7.89/1.33 % (538752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/1.33 % (538752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.33 % (538752)CaDiCaL version: 2.1.3
% 7.89/1.33 % (538752)Termination reason: Instruction limit
% 7.89/1.33 % (538752)Termination phase: Saturation
% 7.89/1.33 % (538752)Time elapsed: 0.114 s
% 7.89/1.33 % (538752)Peak memory usage: 12 MB
% 7.89/1.33 % (538752)Instructions burned: 493 (million)
% 7.89/1.33 % (538771)dis+10_1_si=on:random_seed=868239506:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2989 on theBenchmark for (2989ds/407Mi)
% 7.89/1.33 % (538771)Refutation not found, incomplete strategy
% 7.89/1.33 % (538771)------------------------------
% 7.89/1.33 % (538771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/1.33 % (538771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.33 % (538771)CaDiCaL version: 2.1.3
% 7.89/1.33 % (538771)Termination reason: Refutation not found, incomplete strategy
% 7.89/1.33 % (538771)Time elapsed: 0.0000 s
% 7.89/1.33 % (538771)Peak memory usage: 11 MB
% 7.89/1.33 % (538771)Instructions burned: 1 (million)
% 7.89/1.33 % (538771)------------------------------
% 7.89/1.33 % (538771)------------------------------
% 7.89/1.33 % (538772)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=1517533173:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/2240Mi)
% 7.89/1.33 % (538774)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1569828072:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/336Mi)
% 7.89/1.33 % (538774)Refutation not found, incomplete strategy
% 7.89/1.33 % (538774)------------------------------
% 7.89/1.33 % (538774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/1.33 % (538774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.33 % (538774)CaDiCaL version: 2.1.3
% 7.89/1.33 % (538774)Termination reason: Refutation not found, incomplete strategy
% 7.89/1.33 % (538774)Time elapsed: 0.0000 s
% 7.89/1.33 % (538774)Peak memory usage: 11 MB
% 7.89/1.33 % (538774)Instructions burned: 1 (million)
% 7.89/1.33 % (538774)------------------------------
% 7.89/1.33 % (538774)------------------------------
% 7.89/1.33 % (538777)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=300550622:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2988 on theBenchmark for (2988ds/1142Mi)
% 7.89/1.33 % (538777)Refutation not found, incomplete strategy
% 7.89/1.33 % (538777)------------------------------
% 7.89/1.33 % (538777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/1.33 % (538777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.33 % (538777)CaDiCaL version: 2.1.3
% 7.89/1.33 % (538777)Termination reason: Refutation not found, incomplete strategy
% 7.89/1.33 % (538777)Time elapsed: 0.006 s
% 7.89/1.33 % (538777)Peak memory usage: 12 MB
% 7.89/1.33 % (538777)Instructions burned: 20 (million)
% 7.89/1.33 % (538777)------------------------------
% 8.35/1.48 % (538777)------------------------------
% 8.35/1.48 % (538758)Instruction limit reached!
% 8.35/1.48 % (538758)------------------------------
% 8.35/1.48 % (538758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.48 % (538758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.48 % (538758)CaDiCaL version: 2.1.3
% 8.35/1.48 % (538758)Termination reason: Instruction limit
% 8.35/1.48 % (538758)Termination phase: Saturation
% 8.35/1.48 % (538758)Time elapsed: 0.130 s
% 8.35/1.48 % (538758)Peak memory usage: 12 MB
% 8.35/1.48 % (538758)Instructions burned: 673 (million)
% 8.35/1.48 % (538779)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1611334467:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/376Mi)
% 8.35/1.48 % (538779)Refutation not found, incomplete strategy
% 8.35/1.48 % (538779)------------------------------
% 8.35/1.48 % (538779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.48 % (538779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.48 % (538779)CaDiCaL version: 2.1.3
% 8.35/1.48 % (538779)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.48 % (538779)Time elapsed: 0.0000 s
% 8.35/1.48 % (538779)Peak memory usage: 12 MB
% 8.35/1.48 % (538779)Instructions burned: 1 (million)
% 8.35/1.48 % (538779)------------------------------
% 8.35/1.48 % (538779)------------------------------
% 8.35/1.48 % (538780)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3745663569:i=766:bd=all:rtra=on_2988 on theBenchmark for (2988ds/766Mi)
% 8.35/1.48 % (538780)Refutation not found, incomplete strategy
% 8.35/1.48 % (538780)------------------------------
% 8.35/1.48 % (538780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.48 % (538780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.48 % (538780)CaDiCaL version: 2.1.3
% 8.35/1.48 % (538780)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.48 % (538780)Time elapsed: 0.001 s
% 8.35/1.48 % (538780)Peak memory usage: 12 MB
% 8.35/1.48 % (538780)Instructions burned: 2 (million)
% 8.35/1.48 % (538780)------------------------------
% 8.35/1.48 % (538780)------------------------------
% 8.35/1.48 % (538782)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 8.35/1.48 % (538782)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2222707562:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2988 on theBenchmark for (2988ds/959Mi)
% 8.35/1.48 % (538782)Refutation not found, incomplete strategy
% 8.35/1.48 % (538782)------------------------------
% 8.35/1.48 % (538782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.48 % (538782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.48 % (538782)CaDiCaL version: 2.1.3
% 8.35/1.48 % (538782)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.48 % (538782)Time elapsed: 0.0000 s
% 8.35/1.48 % (538782)Peak memory usage: 11 MB
% 8.35/1.48 % (538782)Instructions burned: 1 (million)
% 8.35/1.48 % (538782)------------------------------
% 8.35/1.48 % (538782)------------------------------
% 8.35/1.48 % (538784)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=76568173:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2988 on theBenchmark for (2988ds/6359Mi)
% 8.35/1.48 % (538786)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3324047446:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2988 on theBenchmark for (2988ds/35Mi)
% 8.35/1.48 % (538786)Refutation not found, incomplete strategy
% 8.35/1.48 % (538786)------------------------------
% 8.35/1.48 % (538786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.48 % (538786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.48 % (538786)CaDiCaL version: 2.1.3
% 8.35/1.48 % (538786)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.48 % (538786)Time elapsed: 0.0000 s
% 8.35/1.48 % (538786)Peak memory usage: 11 MB
% 8.35/1.48 % (538786)------------------------------
% 8.35/1.48 % (538786)------------------------------
% 8.35/1.48 % (538764)Instruction limit reached!
% 8.79/1.54 % (538764)------------------------------
% 8.79/1.54 % (538764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.79/1.54 % (538764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/1.54 % (538764)CaDiCaL version: 2.1.3
% 8.79/1.54 % (538764)Termination reason: Instruction limit
% 8.79/1.54 % (538764)Termination phase: Saturation
% 8.79/1.54 % (538764)Time elapsed: 0.145 s
% 8.79/1.54 % (538764)Peak memory usage: 12 MB
% 8.79/1.54 % (538764)Instructions burned: 694 (million)
% 8.79/1.54 % (538789)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2601122175:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/53Mi)
% 8.79/1.54 % (538790)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=678043731:s2a=on:i=876:s2at=6:nm=2:rtra=on_2988 on theBenchmark for (2988ds/876Mi)
% 8.79/1.54 % (538761)Instruction limit reached!
% 8.79/1.54 % (538761)------------------------------
% 8.79/1.54 % (538761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.79/1.54 % (538761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/1.54 % (538761)CaDiCaL version: 2.1.3
% 8.79/1.54 % (538761)Termination reason: Instruction limit
% 8.79/1.54 % (538761)Termination phase: Saturation
% 8.79/1.54 % (538761)Time elapsed: 0.173 s
% 8.79/1.54 % (538761)Peak memory usage: 12 MB
% 8.79/1.54 % (538761)Instructions burned: 858 (million)
% 8.79/1.54 % (538789)Instruction limit reached!
% 8.79/1.54 % (538789)------------------------------
% 8.79/1.54 % (538789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.79/1.54 % (538789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/1.54 % (538789)CaDiCaL version: 2.1.3
% 8.79/1.54 % (538789)Termination reason: Instruction limit
% 8.79/1.54 % (538789)Termination phase: Saturation
% 8.79/1.54 % (538789)Time elapsed: 0.015 s
% 8.79/1.54 % (538789)Peak memory usage: 12 MB
% 8.79/1.54 % (538789)Instructions burned: 54 (million)
% 8.79/1.54 % (538793)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4108297181:i=57:ep=R:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/57Mi)
% 8.79/1.54 % (538794)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.79/1.54 % (538794)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3778003166:i=306:bd=all:rtra=on_2988 on theBenchmark for (2988ds/306Mi)
% 8.79/1.54 % (538794)Refutation not found, incomplete strategy
% 8.79/1.54 % (538794)------------------------------
% 8.79/1.54 % (538794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.79/1.54 % (538794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/1.54 % (538794)CaDiCaL version: 2.1.3
% 8.79/1.54 % (538794)Termination reason: Refutation not found, incomplete strategy
% 8.79/1.54 % (538794)Time elapsed: 0.001 s
% 8.79/1.54 % (538794)Peak memory usage: 12 MB
% 8.79/1.54 % (538794)Instructions burned: 2 (million)
% 8.79/1.54 % (538794)------------------------------
% 8.79/1.54 % (538794)------------------------------
% 8.79/1.54 % (538797)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=901302883:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/262Mi)
% 8.79/1.54 % (538793)Instruction limit reached!
% 8.79/1.54 % (538793)------------------------------
% 8.79/1.54 % (538793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.79/1.54 % (538793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/1.54 % (538793)CaDiCaL version: 2.1.3
% 8.79/1.54 % (538793)Termination reason: Instruction limit
% 8.79/1.54 % (538793)Termination phase: Saturation
% 8.79/1.54 % (538793)Time elapsed: 0.015 s
% 8.79/1.54 % (538793)Peak memory usage: 12 MB
% 8.79/1.54 % (538793)Instructions burned: 59 (million)
% 8.79/1.54 % (538797)Refutation not found, incomplete strategy
% 8.79/1.54 % (538797)------------------------------
% 8.79/1.54 % (538797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.79/1.54 % (538797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/1.54 % (538797)CaDiCaL version: 2.1.3
% 8.79/1.54 % (538797)Termination reason: Refutation not found, incomplete strategy
% 8.79/1.54 % (538797)Time elapsed: 0.0000 s
% 8.79/1.54 % (538797)Peak memory usage: 11 MB
% 9.46/1.60 % (538797)Instructions burned: 1 (million)
% 9.46/1.60 % (538797)------------------------------
% 9.46/1.60 % (538797)------------------------------
% 9.46/1.60 % (538799)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 9.46/1.60 % (538799)ott+1002_16_sil=128000:si=on:random_seed=2643314243:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/409Mi)
% 9.46/1.60 % (538800)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1612757317:s2a=on:i=381:rtra=on_2987 on theBenchmark for (2987ds/381Mi)
% 9.46/1.60 % (538799)Instruction limit reached!
% 9.46/1.60 % (538799)------------------------------
% 9.46/1.60 % (538799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.60 % (538799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.60 % (538799)CaDiCaL version: 2.1.3
% 9.46/1.60 % (538799)Termination reason: Instruction limit
% 9.46/1.60 % (538799)Termination phase: Saturation
% 9.46/1.60 % (538799)Time elapsed: 0.076 s
% 9.46/1.60 % (538799)Peak memory usage: 13 MB
% 9.46/1.60 % (538799)Instructions burned: 415 (million)
% 9.46/1.60 % (538803)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=375491554:cond=on:i=324:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/324Mi)
% 9.46/1.60 % (538800)Instruction limit reached!
% 9.46/1.60 % (538800)------------------------------
% 9.46/1.60 % (538800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.60 % (538800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.60 % (538800)CaDiCaL version: 2.1.3
% 9.46/1.60 % (538800)Termination reason: Instruction limit
% 9.46/1.60 % (538800)Termination phase: Saturation
% 9.46/1.60 % (538800)Time elapsed: 0.087 s
% 9.46/1.60 % (538800)Peak memory usage: 12 MB
% 9.46/1.60 % (538800)Instructions burned: 384 (million)
% 9.46/1.60 % (538701)Instruction limit reached!
% 9.46/1.60 % (538701)------------------------------
% 9.46/1.60 % (538701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.60 % (538701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.60 % (538701)CaDiCaL version: 2.1.3
% 9.46/1.60 % (538701)Termination reason: Instruction limit
% 9.46/1.60 % (538701)Termination phase: Saturation
% 9.46/1.60 % (538701)Time elapsed: 0.640 s
% 9.46/1.60 % (538701)Peak memory usage: 17 MB
% 9.46/1.60 % (538701)Instructions burned: 2473 (million)
% 9.46/1.60 % (538805)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2334419073:i=240:kws=inv_precedence:rtra=on_2986 on theBenchmark for (2986ds/240Mi)
% 9.46/1.60 % (538805)Refutation not found, incomplete strategy
% 9.46/1.60 % (538805)------------------------------
% 9.46/1.60 % (538805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.60 % (538805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.60 % (538805)CaDiCaL version: 2.1.3
% 9.46/1.60 % (538805)Termination reason: Refutation not found, incomplete strategy
% 9.46/1.60 % (538805)Time elapsed: 0.001 s
% 9.46/1.60 % (538805)Peak memory usage: 12 MB
% 9.46/1.60 % (538805)Instructions burned: 1 (million)
% 9.46/1.60 % (538805)------------------------------
% 9.46/1.60 % (538805)------------------------------
% 9.46/1.60 % (538806)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 9.46/1.60 % (538806)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1375568639:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/124Mi)
% 9.46/1.60 % (538808)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1354686689:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2986 on theBenchmark for (2986ds/223Mi)
% 9.46/1.60 % (538806)Instruction limit reached!
% 9.46/1.60 % (538806)------------------------------
% 9.46/1.60 % (538806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.60 % (538806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.60 % (538806)CaDiCaL version: 2.1.3
% 9.46/1.60 % (538806)Termination reason: Instruction limit
% 9.46/1.60 % (538806)Termination phase: Saturation
% 9.46/1.60 % (538806)Time elapsed: 0.025 s
% 9.46/1.60 % (538806)Peak memory usage: 12 MB
% 9.46/1.60 % (538806)Instructions burned: 127 (million)
% 9.46/1.60 % (538811)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1008892339:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2986 on theBenchmark for (2986ds/282Mi)
% 9.68/1.76 % (538808)Instruction limit reached!
% 9.68/1.76 % (538808)------------------------------
% 9.68/1.76 % (538808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.68/1.76 % (538808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/1.76 % (538808)CaDiCaL version: 2.1.3
% 9.68/1.76 % (538808)Termination reason: Instruction limit
% 9.68/1.76 % (538808)Termination phase: Saturation
% 9.68/1.76 % (538808)Time elapsed: 0.041 s
% 9.68/1.76 % (538808)Peak memory usage: 13 MB
% 9.68/1.76 % (538808)Instructions burned: 226 (million)
% 9.68/1.76 % (538790)Instruction limit reached!
% 9.68/1.76 % (538790)------------------------------
% 9.68/1.76 % (538790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.68/1.76 % (538790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/1.76 % (538790)CaDiCaL version: 2.1.3
% 9.68/1.76 % (538790)Termination reason: Instruction limit
% 9.68/1.76 % (538790)Termination phase: Saturation
% 9.68/1.76 % (538790)Time elapsed: 0.206 s
% 9.68/1.76 % (538790)Peak memory usage: 13 MB
% 9.68/1.76 % (538790)Instructions burned: 878 (million)
% 9.68/1.76 % (538813)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2780454696:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/464Mi)
% 9.68/1.76 % (538803)Instruction limit reached!
% 9.68/1.76 % (538803)------------------------------
% 9.68/1.76 % (538803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.68/1.76 % (538803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/1.76 % (538803)CaDiCaL version: 2.1.3
% 9.68/1.76 % (538803)Termination reason: Instruction limit
% 9.68/1.76 % (538803)Termination phase: Saturation
% 9.68/1.76 % (538803)Time elapsed: 0.076 s
% 9.68/1.76 % (538803)Peak memory usage: 12 MB
% 9.68/1.76 % (538803)Instructions burned: 326 (million)
% 9.68/1.76 % (538813)Refutation not found, incomplete strategy
% 9.68/1.76 % (538813)------------------------------
% 9.68/1.76 % (538813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.68/1.76 % (538813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/1.76 % (538813)CaDiCaL version: 2.1.3
% 9.68/1.76 % (538813)Termination reason: Refutation not found, incomplete strategy
% 9.68/1.76 % (538813)Time elapsed: 0.0000 s
% 9.68/1.76 % (538813)Peak memory usage: 11 MB
% 9.68/1.76 % (538813)Instructions burned: 1 (million)
% 9.68/1.76 % (538813)------------------------------
% 9.68/1.76 % (538813)------------------------------
% 9.68/1.76 % (538814)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=2293422461:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 9.68/1.76 % (538817)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 9.68/1.76 % (538816)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3242568104:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2986 on theBenchmark for (2986ds/280Mi)
% 9.68/1.76 % (538817)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=414690841:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/4386Mi)
% 9.68/1.76 % (538814)Instruction limit reached!
% 9.68/1.76 % (538814)------------------------------
% 9.68/1.76 % (538814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.68/1.76 % (538814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/1.76 % (538814)CaDiCaL version: 2.1.3
% 9.68/1.76 % (538814)Termination reason: Instruction limit
% 9.68/1.76 % (538814)Termination phase: Saturation
% 9.68/1.76 % (538814)Time elapsed: 0.020 s
% 9.68/1.76 % (538814)Peak memory usage: 12 MB
% 9.68/1.76 % (538814)Instructions burned: 88 (million)
% 9.68/1.76 % (538821)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 9.68/1.76 % (538821)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 9.68/1.76 % (538821)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=3080188388:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2985 on theBenchmark for (2985ds/483Mi)
% 10.07/1.85 % (538821)Refutation not found, incomplete strategy
% 10.07/1.85 % (538821)------------------------------
% 10.07/1.85 % (538821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538821)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538821)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.85 % (538821)Time elapsed: 0.0000 s
% 10.07/1.85 % (538821)Peak memory usage: 12 MB
% 10.07/1.85 % (538821)Instructions burned: 1 (million)
% 10.07/1.85 % (538821)------------------------------
% 10.07/1.85 % (538821)------------------------------
% 10.07/1.85 % (538823)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3715698106:i=73:rtra=on_2985 on theBenchmark for (2985ds/73Mi)
% 10.07/1.85 % (538823)Refutation not found, incomplete strategy
% 10.07/1.85 % (538823)------------------------------
% 10.07/1.85 % (538823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538823)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538823)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.85 % (538823)Time elapsed: 0.001 s
% 10.07/1.85 % (538823)Peak memory usage: 12 MB
% 10.07/1.85 % (538823)Instructions burned: 2 (million)
% 10.07/1.85 % (538823)------------------------------
% 10.07/1.85 % (538823)------------------------------
% 10.07/1.85 % (538811)Instruction limit reached!
% 10.07/1.85 % (538811)------------------------------
% 10.07/1.85 % (538811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538811)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538811)Termination reason: Instruction limit
% 10.07/1.85 % (538811)Termination phase: Saturation
% 10.07/1.85 % (538811)Time elapsed: 0.077 s
% 10.07/1.85 % (538811)Peak memory usage: 13 MB
% 10.07/1.85 % (538811)Instructions burned: 285 (million)
% 10.07/1.85 % (538825)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1347251982:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/176Mi)
% 10.07/1.85 % (538826)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.07/1.85 % (538826)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2075084423:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2985 on theBenchmark for (2985ds/39Mi)
% 10.07/1.85 % (538826)Instruction limit reached!
% 10.07/1.85 % (538826)------------------------------
% 10.07/1.85 % (538826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538826)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538826)Termination reason: Instruction limit
% 10.07/1.85 % (538826)Termination phase: Saturation
% 10.07/1.85 % (538826)Time elapsed: 0.012 s
% 10.07/1.85 % (538826)Peak memory usage: 12 MB
% 10.07/1.85 % (538826)Instructions burned: 42 (million)
% 10.07/1.85 % (538816)Instruction limit reached!
% 10.07/1.85 % (538816)------------------------------
% 10.07/1.85 % (538816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538816)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538816)Termination reason: Instruction limit
% 10.07/1.85 % (538816)Termination phase: Saturation
% 10.07/1.85 % (538816)Time elapsed: 0.075 s
% 10.07/1.85 % (538816)Peak memory usage: 12 MB
% 10.07/1.85 % (538816)Instructions burned: 284 (million)
% 10.07/1.85 % (538829)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2495527111:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/708Mi)
% 10.07/1.85 % (538830)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 10.07/1.85 % (538830)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=2534160466:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 10.07/1.85 % (538825)Instruction limit reached!
% 10.07/1.85 % (538825)------------------------------
% 10.07/1.85 % (538825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538825)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538825)Termination reason: Instruction limit
% 10.07/1.85 % (538825)Termination phase: Saturation
% 10.07/1.85 % (538825)Time elapsed: 0.042 s
% 10.07/1.85 % (538825)Peak memory usage: 12 MB
% 10.07/1.85 % (538825)Instructions burned: 176 (million)
% 10.07/1.85 % (538833)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3651088351:i=823:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/823Mi)
% 10.07/1.85 % (538830)Instruction limit reached!
% 10.07/1.85 % (538830)------------------------------
% 10.07/1.85 % (538830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538830)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538830)Termination reason: Instruction limit
% 10.07/1.85 % (538830)Termination phase: Saturation
% 10.07/1.85 % (538830)Time elapsed: 0.055 s
% 10.07/1.85 % (538830)Peak memory usage: 12 MB
% 10.07/1.85 % (538830)Instructions burned: 257 (million)
% 10.07/1.85 % (538835)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 10.07/1.85 % (538835)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1915850684:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/16202Mi)
% 10.07/1.85 % (538835)Refutation not found, incomplete strategy
% 10.07/1.85 % (538835)------------------------------
% 10.07/1.85 % (538835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538835)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538835)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.85 % (538835)Time elapsed: 0.0000 s
% 10.07/1.85 % (538835)Peak memory usage: 11 MB
% 10.07/1.85 % (538835)Instructions burned: 1 (million)
% 10.07/1.85 % (538835)------------------------------
% 10.07/1.85 % (538835)------------------------------
% 10.07/1.85 % (538837)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3844719473:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/300Mi)
% 10.07/1.85 % (538829)Instruction limit reached!
% 10.07/1.85 % (538829)------------------------------
% 10.07/1.85 % (538829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538829)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538829)Termination reason: Instruction limit
% 10.07/1.85 % (538829)Termination phase: Saturation
% 10.07/1.85 % (538829)Time elapsed: 0.118 s
% 10.07/1.85 % (538829)Peak memory usage: 12 MB
% 10.07/1.85 % (538829)Instructions burned: 708 (million)
% 10.07/1.85 % (538839)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 10.07/1.85 % (538839)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 10.07/1.85 % (538839)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=150435387:i=177:add=on:bd=preordered:rtra=on:rawr=on_2984 on theBenchmark for (2984ds/177Mi)
% 10.07/1.85 % (538837)Instruction limit reached!
% 10.07/1.85 % (538837)------------------------------
% 10.07/1.85 % (538837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538837)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538837)Termination reason: Instruction limit
% 10.07/1.85 % (538837)Termination phase: Saturation
% 10.07/1.85 % (538837)Time elapsed: 0.068 s
% 10.07/1.85 % (538837)Peak memory usage: 12 MB
% 10.07/1.85 % (538837)Instructions burned: 302 (million)
% 10.07/1.85 % (538841)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2894145829:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/715Mi)
% 10.07/1.85 % (538841)Refutation not found, incomplete strategy
% 10.07/1.85 % (538841)------------------------------
% 10.07/1.85 % (538841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538841)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538841)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.85 % (538841)Time elapsed: 0.0000 s
% 10.07/1.85 % (538841)Peak memory usage: 11 MB
% 10.07/1.85 % (538841)Instructions burned: 2 (million)
% 10.07/1.85 % (538841)------------------------------
% 10.07/1.85 % (538841)------------------------------
% 10.07/1.85 % (538839)Instruction limit reached!
% 10.07/1.85 % (538839)------------------------------
% 10.07/1.85 % (538839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538839)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538839)Termination reason: Instruction limit
% 10.07/1.85 % (538839)Termination phase: Saturation
% 10.07/1.85 % (538839)Time elapsed: 0.043 s
% 10.07/1.85 % (538839)Peak memory usage: 13 MB
% 10.07/1.85 % (538839)Instructions burned: 178 (million)
% 10.07/1.85 % (538843)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 10.07/1.85 % (538843)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 10.07/1.85 % (538843)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=1480397954:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/230Mi)
% 10.07/1.85 % (538843)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.07/1.85 % (538844)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2721192661:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2983 on theBenchmark for (2983ds/606Mi)
% 10.07/1.85 % (538833)Instruction limit reached!
% 10.07/1.85 % (538833)------------------------------
% 10.07/1.85 % (538833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538833)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538833)Termination reason: Instruction limit
% 10.07/1.85 % (538833)Termination phase: Saturation
% 10.07/1.85 % (538833)Time elapsed: 0.187 s
% 10.07/1.85 % (538833)Peak memory usage: 13 MB
% 10.07/1.85 % (538833)Instructions burned: 826 (million)
% 10.07/1.85 % (538847)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 10.07/1.85 % (538847)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2132683914:lrd=on:i=841:nm=0:rtra=on_2983 on theBenchmark for (2983ds/841Mi)
% 10.07/1.85 % (538784) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-538464-538784"...
% 10.07/1.85 % (538843)Instruction limit reached!
% 10.07/1.85 % (538843)------------------------------
% 10.07/1.85 % (538843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538843)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538843)Termination reason: Instruction limit
% 10.07/1.85 % (538843)Termination phase: Saturation
% 10.07/1.85 % (538843)Time elapsed: 0.058 s
% 10.07/1.85 % (538843)Peak memory usage: 12 MB
% 10.07/1.85 % (538843)Instructions burned: 233 (million)
% 10.07/1.85 % (538772)Instruction limit reached!
% 10.07/1.85 % (538772)------------------------------
% 10.07/1.85 % (538772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.85 % (538772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.85 % (538772)CaDiCaL version: 2.1.3
% 10.07/1.85 % (538772)Termination reason: Instruction limit
% 10.07/1.85 % (538772)Termination phase: Saturation
% 10.07/1.85 % (538772)Time elapsed: 0.610 s
% 10.07/1.85 % (538772)Peak memory usage: 17 MB
% 10.07/1.85 % (538772)Instructions burned: 2240 (million)
% 10.07/1.85 % (538849)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=128963109:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 10.07/1.85 % (538851)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3520483883:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 10.07/1.85 % (538784)...printing done.
% 10.07/1.85 % (538784)Refutation found. Thanks to Tanya!
% 10.07/1.85 % SZS status Unsatisfiable for theBenchmark
% 10.07/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 10.07/1.87 % (538784)------------------------------
% 10.07/1.87 % (538784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.87 % (538784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.87 % (538784)CaDiCaL version: 2.1.3
% 10.07/1.87 % (538784)Termination reason: Refutation
% 10.07/1.87 % (538784)Time elapsed: 0.577 s
% 10.07/1.87 % (538784)Peak memory usage: 18 MB
% 10.07/1.87 % (538784)Instructions burned: 2003 (million)
% 10.07/1.87 % (538464)Success in time 1.732 s
% 10.07/1.87 % Vampire exiting
%------------------------------------------------------------------------------